%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ANA022-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 29 16:32:25 EDT 2024

% Result   : Unsatisfiable 0.86s 1.08s
% Output   : Proof 0.86s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.16  % Problem    : ANA022-2 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.17  % Command    : do_cvc5 %s %d
% 0.15/0.39  % Computer : n026.cluster.edu
% 0.15/0.39  % Model    : x86_64 x86_64
% 0.15/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39  % Memory   : 8042.1875MB
% 0.15/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.39  % CPULimit   : 300
% 0.15/0.39  % WCLimit    : 300
% 0.15/0.39  % DateTime   : Tue May 28 04:40:09 EDT 2024
% 0.15/0.39  % CPUTime    : 
% 0.23/0.55  %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.86/1.08  % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.q9oat5A5vl/cvc5---1.0.5_26191.smt2
% 0.86/1.08  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.q9oat5A5vl/cvc5---1.0.5_26191.smt2
% 0.86/1.13  (assume a0 (forall ((V_U $$unsorted)) (tptp.c_lessequals (tptp.v_k V_U) (tptp.v_f V_U) tptp.t_b)))
% 0.86/1.13  (assume a1 (not (tptp.c_lessequals (tptp.c_Orderings_Omax (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))
% 0.86/1.13  (assume a2 (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b))
% 0.86/1.13  (assume a3 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs V_a T_a) T_a))))
% 0.86/1.13  (assume a4 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_uminus V_a T_a) T_a) (tptp.c_HOL_Oabs V_a T_a)))))
% 0.86/1.13  (assume a5 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (= (tptp.c_HOL_Oabs V_a T_a) (tptp.c_uminus V_a T_a)))))
% 0.86/1.13  (assume a6 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.c_lessequals (tptp.c_plus V_a V_c T_a) (tptp.c_plus V_b V_c T_a) T_a)) (tptp.c_lessequals V_a V_b T_a))))
% 0.86/1.13  (assume a7 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_plus tptp.c_0 V_y T_a) V_y))))
% 0.86/1.13  (assume a8 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a)))))
% 0.86/1.13  (assume a9 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a)))))
% 0.86/1.13  (assume a10 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a (tptp.c_plus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) V_c T_a))))
% 0.86/1.13  (assume a11 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a))))
% 0.86/1.13  (assume a12 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))))
% 0.86/1.13  (assume a13 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a V_a T_a) tptp.c_0))))
% 0.86/1.13  (assume a14 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))))
% 0.86/1.13  (assume a15 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_less V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a))))
% 0.86/1.13  (assume a16 (forall ((T_b $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_lessequals V_y V_z T_b)) (not (tptp.c_lessequals V_x V_z T_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax V_x V_y T_b) V_z T_b))))
% 0.86/1.13  (assume a17 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))))
% 0.86/1.13  (assume a18 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_less V_x V_y T_a)) (tptp.c_lessequals V_x V_y T_a))))
% 0.86/1.13  (assume a19 (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T))))
% 0.86/1.13  (assume a20 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))))
% 0.86/1.13  (assume a21 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 0.86/1.13  (assume a22 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 0.86/1.13  (assume a23 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Orderings_Olinorder T))))
% 0.86/1.13  (assume a24 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 0.86/1.13  (assume a25 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 0.86/1.13  (assume a26 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T))))
% 0.86/1.13  (step t1 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a)))) :rule implies_neg1)
% 0.86/1.13  (anchor :step t2)
% 0.86/1.13  (assume t2.a0 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))))
% 0.86/1.13  (step t2.t1 (cl (or (not (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_y (tptp.v_k tptp.v_x)) (:= V_z (tptp.v_f tptp.v_x)) (:= V_x (tptp.v_g tptp.v_x))))
% 0.86/1.13  (step t2.t2 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule or :premises (t2.t1))
% 0.86/1.13  (step t2.t3 (cl (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule resolution :premises (t2.t2 t2.a0))
% 0.86/1.13  (step t2 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule subproof :discharge (t2.a0))
% 0.86/1.13  (step t3 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule resolution :premises (t1 t2))
% 0.86/1.13  (step t4 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule implies_neg2)
% 0.86/1.13  (step t5 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule resolution :premises (t3 t4))
% 0.86/1.13  (step t6 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule contraction :premises (t5))
% 0.86/1.13  (step t7 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule implies :premises (t6))
% 0.86/1.13  (step t8 (cl (not (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) :rule or_pos)
% 0.86/1.13  (step t9 (cl (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (not (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule reordering :premises (t8))
% 0.86/1.13  (step t10 (cl (not (or (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (tptp.class_Orderings_Oorder tptp.t_b))) (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (tptp.class_Orderings_Oorder tptp.t_b)) :rule or_pos)
% 0.86/1.13  (step t11 (cl (tptp.class_Orderings_Oorder tptp.t_b) (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (not (or (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (tptp.class_Orderings_Oorder tptp.t_b)))) :rule reordering :premises (t10))
% 0.86/1.13  (step t12 (cl (not (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b))) (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) :rule or_pos)
% 0.86/1.13  (step t13 (cl (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b) (not (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)))) :rule reordering :premises (t12))
% 0.86/1.13  (step t14 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_LOrder_Ojoin__semilorder T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b))) (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_LOrder_Ojoin__semilorder T)))) :rule implies_neg1)
% 0.86/1.13  (anchor :step t15)
% 0.86/1.13  (assume t15.a0 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 0.86/1.13  (step t15.t1 (cl (or (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_LOrder_Ojoin__semilorder T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)))) :rule forall_inst :args ((:= T tptp.t_b)))
% 0.86/1.13  (step t15.t2 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_LOrder_Ojoin__semilorder T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b))) :rule or :premises (t15.t1))
% 0.86/1.13  (step t15.t3 (cl (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b))) :rule resolution :premises (t15.t2 t15.a0))
% 0.86/1.13  (step t15 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_LOrder_Ojoin__semilorder T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b))) :rule subproof :discharge (t15.a0))
% 0.86/1.13  (step t16 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_LOrder_Ojoin__semilorder T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b))) :rule resolution :premises (t14 t15))
% 0.86/1.13  (step t17 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_LOrder_Ojoin__semilorder T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b))) (not (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)))) :rule implies_neg2)
% 0.86/1.13  (step t18 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_LOrder_Ojoin__semilorder T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b))) (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_LOrder_Ojoin__semilorder T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)))) :rule resolution :premises (t16 t17))
% 0.86/1.13  (step t19 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_LOrder_Ojoin__semilorder T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)))) :rule contraction :premises (t18))
% 0.86/1.13  (step t20 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_LOrder_Ojoin__semilorder T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b))) :rule implies :premises (t19))
% 0.86/1.13  (step t21 (cl (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b))) :rule resolution :premises (t20 a24))
% 0.86/1.13  (step t22 (cl (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) :rule resolution :premises (t13 a2 t21))
% 0.86/1.13  (step t23 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T))) (or (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (tptp.class_Orderings_Oorder tptp.t_b))) (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T)))) :rule implies_neg1)
% 0.86/1.13  (anchor :step t24)
% 0.86/1.13  (assume t24.a0 (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T))))
% 0.86/1.13  (step t24.t1 (cl (or (not (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T)))) (or (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (tptp.class_Orderings_Oorder tptp.t_b)))) :rule forall_inst :args ((:= T tptp.t_b)))
% 0.86/1.13  (step t24.t2 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T)))) (or (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (tptp.class_Orderings_Oorder tptp.t_b))) :rule or :premises (t24.t1))
% 0.86/1.13  (step t24.t3 (cl (or (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (tptp.class_Orderings_Oorder tptp.t_b))) :rule resolution :premises (t24.t2 t24.a0))
% 0.86/1.13  (step t24 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T)))) (or (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (tptp.class_Orderings_Oorder tptp.t_b))) :rule subproof :discharge (t24.a0))
% 0.86/1.13  (step t25 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T))) (or (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (tptp.class_Orderings_Oorder tptp.t_b))) (or (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (tptp.class_Orderings_Oorder tptp.t_b))) :rule resolution :premises (t23 t24))
% 0.86/1.13  (step t26 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T))) (or (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (tptp.class_Orderings_Oorder tptp.t_b))) (not (or (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (tptp.class_Orderings_Oorder tptp.t_b)))) :rule implies_neg2)
% 0.86/1.13  (step t27 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T))) (or (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (tptp.class_Orderings_Oorder tptp.t_b))) (=> (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T))) (or (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (tptp.class_Orderings_Oorder tptp.t_b)))) :rule resolution :premises (t25 t26))
% 0.86/1.13  (step t28 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T))) (or (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (tptp.class_Orderings_Oorder tptp.t_b)))) :rule contraction :premises (t27))
% 0.86/1.13  (step t29 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T)))) (or (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (tptp.class_Orderings_Oorder tptp.t_b))) :rule implies :premises (t28))
% 0.86/1.13  (step t30 (cl (or (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (tptp.class_Orderings_Oorder tptp.t_b))) :rule resolution :premises (t29 a19))
% 0.86/1.13  (step t31 (cl (tptp.class_Orderings_Oorder tptp.t_b)) :rule resolution :premises (t11 t22 t30))
% 0.86/1.13  (step t32 (cl (=> (forall ((V_U $$unsorted)) (tptp.c_lessequals (tptp.v_k V_U) (tptp.v_f V_U) tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (forall ((V_U $$unsorted)) (tptp.c_lessequals (tptp.v_k V_U) (tptp.v_f V_U) tptp.t_b))) :rule implies_neg1)
% 0.86/1.13  (anchor :step t33)
% 0.86/1.13  (assume t33.a0 (forall ((V_U $$unsorted)) (tptp.c_lessequals (tptp.v_k V_U) (tptp.v_f V_U) tptp.t_b)))
% 0.86/1.13  (step t33.t1 (cl (or (not (forall ((V_U $$unsorted)) (tptp.c_lessequals (tptp.v_k V_U) (tptp.v_f V_U) tptp.t_b))) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule forall_inst :args ((:= V_U tptp.v_x)))
% 0.86/1.13  (step t33.t2 (cl (not (forall ((V_U $$unsorted)) (tptp.c_lessequals (tptp.v_k V_U) (tptp.v_f V_U) tptp.t_b))) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) :rule or :premises (t33.t1))
% 0.86/1.13  (step t33.t3 (cl (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) :rule resolution :premises (t33.t2 t33.a0))
% 0.86/1.13  (step t33 (cl (not (forall ((V_U $$unsorted)) (tptp.c_lessequals (tptp.v_k V_U) (tptp.v_f V_U) tptp.t_b))) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) :rule subproof :discharge (t33.a0))
% 0.86/1.13  (step t34 (cl (=> (forall ((V_U $$unsorted)) (tptp.c_lessequals (tptp.v_k V_U) (tptp.v_f V_U) tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) :rule resolution :premises (t32 t33))
% 0.86/1.13  (step t35 (cl (=> (forall ((V_U $$unsorted)) (tptp.c_lessequals (tptp.v_k V_U) (tptp.v_f V_U) tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule implies_neg2)
% 0.86/1.13  (step t36 (cl (=> (forall ((V_U $$unsorted)) (tptp.c_lessequals (tptp.v_k V_U) (tptp.v_f V_U) tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (=> (forall ((V_U $$unsorted)) (tptp.c_lessequals (tptp.v_k V_U) (tptp.v_f V_U) tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule resolution :premises (t34 t35))
% 0.86/1.13  (step t37 (cl (=> (forall ((V_U $$unsorted)) (tptp.c_lessequals (tptp.v_k V_U) (tptp.v_f V_U) tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule contraction :premises (t36))
% 0.86/1.13  (step t38 (cl (not (forall ((V_U $$unsorted)) (tptp.c_lessequals (tptp.v_k V_U) (tptp.v_f V_U) tptp.t_b))) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) :rule implies :premises (t37))
% 0.86/1.13  (step t39 (cl (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) :rule resolution :premises (t38 a0))
% 0.86/1.13  (step t40 (cl (not (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b))) (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) :rule or_pos)
% 0.86/1.13  (step t41 (cl (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) (not (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)))) :rule reordering :premises (t40))
% 0.86/1.13  (step t42 (cl (not (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) (not (tptp.class_Orderings_Olinorder tptp.t_b)) (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) :rule or_pos)
% 0.86/1.13  (step t43 (cl (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (not (tptp.class_Orderings_Olinorder tptp.t_b)) (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) (not (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule reordering :premises (t42))
% 0.86/1.13  (step t44 (cl (not (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b))) (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) :rule or_pos)
% 0.86/1.13  (step t45 (cl (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b) (not (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)))) :rule reordering :premises (t44))
% 0.86/1.13  (step t46 (cl (not (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b))) (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) :rule or_pos)
% 0.86/1.13  (step t47 (cl (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b) (not (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)))) :rule reordering :premises (t46))
% 0.86/1.13  (step t48 (cl (not (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b))) (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) :rule or_pos)
% 0.86/1.13  (step t49 (cl (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b) (not (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)))) :rule reordering :premises (t48))
% 0.86/1.13  (step t50 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b))) (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T)))) :rule implies_neg1)
% 0.86/1.13  (anchor :step t51)
% 0.86/1.13  (assume t51.a0 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T))))
% 0.86/1.13  (step t51.t1 (cl (or (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)))) :rule forall_inst :args ((:= T tptp.t_b)))
% 0.86/1.13  (step t51.t2 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b))) :rule or :premises (t51.t1))
% 0.86/1.13  (step t51.t3 (cl (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b))) :rule resolution :premises (t51.t2 t51.a0))
% 0.86/1.13  (step t51 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b))) :rule subproof :discharge (t51.a0))
% 0.86/1.13  (step t52 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b))) :rule resolution :premises (t50 t51))
% 0.86/1.13  (step t53 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b))) (not (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)))) :rule implies_neg2)
% 0.86/1.13  (step t54 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b))) (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)))) :rule resolution :premises (t52 t53))
% 0.86/1.13  (step t55 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)))) :rule contraction :premises (t54))
% 0.86/1.13  (step t56 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b))) :rule implies :premises (t55))
% 0.86/1.13  (step t57 (cl (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b))) :rule resolution :premises (t56 a26))
% 0.86/1.13  (step t58 (cl (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) :rule resolution :premises (t49 a2 t57))
% 0.86/1.13  (step t59 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b))) (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T)))) :rule implies_neg1)
% 0.86/1.13  (anchor :step t60)
% 0.86/1.13  (assume t60.a0 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))))
% 0.86/1.13  (step t60.t1 (cl (or (not (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)))) :rule forall_inst :args ((:= T tptp.t_b)))
% 0.86/1.13  (step t60.t2 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b))) :rule or :premises (t60.t1))
% 0.86/1.13  (step t60.t3 (cl (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b))) :rule resolution :premises (t60.t2 t60.a0))
% 0.86/1.13  (step t60 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b))) :rule subproof :discharge (t60.a0))
% 0.86/1.13  (step t61 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b))) :rule resolution :premises (t59 t60))
% 0.86/1.13  (step t62 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b))) (not (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)))) :rule implies_neg2)
% 0.86/1.13  (step t63 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b))) (=> (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)))) :rule resolution :premises (t61 t62))
% 0.86/1.13  (step t64 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)))) :rule contraction :premises (t63))
% 0.86/1.13  (step t65 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b))) :rule implies :premises (t64))
% 0.86/1.13  (step t66 (cl (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b))) :rule resolution :premises (t65 a20))
% 0.86/1.13  (step t67 (cl (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) :rule resolution :premises (t47 t58 t66))
% 0.86/1.13  (step t68 (cl (not (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) :rule or_pos)
% 0.86/1.13  (step t69 (cl (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (not (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))) :rule reordering :premises (t68))
% 0.86/1.13  (step t70 (cl (not (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) :rule or_pos)
% 0.86/1.13  (step t71 (cl (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (not (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))) :rule reordering :premises (t70))
% 0.86/1.13  (step t72 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs V_a T_a) T_a))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs V_a T_a) T_a)))) :rule implies_neg1)
% 0.86/1.13  (anchor :step t73)
% 0.86/1.13  (assume t73.a0 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs V_a T_a) T_a))))
% 0.86/1.13  (step t73.t1 (cl (or (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs V_a T_a) T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_a (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))))
% 0.86/1.13  (step t73.t2 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs V_a T_a) T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule or :premises (t73.t1))
% 0.86/1.13  (step t73.t3 (cl (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule resolution :premises (t73.t2 t73.a0))
% 0.86/1.13  (step t73 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs V_a T_a) T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule subproof :discharge (t73.a0))
% 0.86/1.13  (step t74 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs V_a T_a) T_a))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule resolution :premises (t72 t73))
% 0.86/1.13  (step t75 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs V_a T_a) T_a))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))) :rule implies_neg2)
% 0.86/1.13  (step t76 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs V_a T_a) T_a))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs V_a T_a) T_a))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))) :rule resolution :premises (t74 t75))
% 0.86/1.13  (step t77 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs V_a T_a) T_a))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))) :rule contraction :premises (t76))
% 0.86/1.13  (step t78 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs V_a T_a) T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule implies :premises (t77))
% 0.86/1.13  (step t79 (cl (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule resolution :premises (t78 a3))
% 0.86/1.13  (step t80 (cl (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) :rule resolution :premises (t71 t58 t79))
% 0.86/1.13  (step t81 (cl (not (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (tptp.class_Orderings_Olinorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) :rule or_pos)
% 0.86/1.13  (step t82 (cl (tptp.c_lessequals (tptp.c_Orderings_Omax (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (not (tptp.class_Orderings_Olinorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))) :rule reordering :premises (t81))
% 0.86/1.13  (step t83 (cl (not (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_Orderings_Olinorder tptp.t_b))) (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_Orderings_Olinorder tptp.t_b)) :rule or_pos)
% 0.86/1.13  (step t84 (cl (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_Orderings_Olinorder tptp.t_b) (not (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_Orderings_Olinorder tptp.t_b)))) :rule reordering :premises (t83))
% 0.86/1.13  (step t85 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Orderings_Olinorder T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_Orderings_Olinorder tptp.t_b))) (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Orderings_Olinorder T)))) :rule implies_neg1)
% 0.86/1.13  (anchor :step t86)
% 0.86/1.13  (assume t86.a0 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Orderings_Olinorder T))))
% 0.86/1.13  (step t86.t1 (cl (or (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Orderings_Olinorder T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_Orderings_Olinorder tptp.t_b)))) :rule forall_inst :args ((:= T tptp.t_b)))
% 0.86/1.13  (step t86.t2 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Orderings_Olinorder T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_Orderings_Olinorder tptp.t_b))) :rule or :premises (t86.t1))
% 0.86/1.13  (step t86.t3 (cl (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_Orderings_Olinorder tptp.t_b))) :rule resolution :premises (t86.t2 t86.a0))
% 0.86/1.13  (step t86 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Orderings_Olinorder T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_Orderings_Olinorder tptp.t_b))) :rule subproof :discharge (t86.a0))
% 0.86/1.13  (step t87 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Orderings_Olinorder T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_Orderings_Olinorder tptp.t_b))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_Orderings_Olinorder tptp.t_b))) :rule resolution :premises (t85 t86))
% 0.86/1.13  (step t88 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Orderings_Olinorder T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_Orderings_Olinorder tptp.t_b))) (not (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_Orderings_Olinorder tptp.t_b)))) :rule implies_neg2)
% 0.86/1.13  (step t89 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Orderings_Olinorder T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_Orderings_Olinorder tptp.t_b))) (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Orderings_Olinorder T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_Orderings_Olinorder tptp.t_b)))) :rule resolution :premises (t87 t88))
% 0.86/1.13  (step t90 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Orderings_Olinorder T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_Orderings_Olinorder tptp.t_b)))) :rule contraction :premises (t89))
% 0.86/1.13  (step t91 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Orderings_Olinorder T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_Orderings_Olinorder tptp.t_b))) :rule implies :premises (t90))
% 0.86/1.13  (step t92 (cl (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_Orderings_Olinorder tptp.t_b))) :rule resolution :premises (t91 a23))
% 0.86/1.13  (step t93 (cl (tptp.class_Orderings_Olinorder tptp.t_b)) :rule resolution :premises (t84 a2 t92))
% 0.86/1.13  (step t94 (cl (=> (forall ((T_b $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_lessequals V_y V_z T_b)) (not (tptp.c_lessequals V_x V_z T_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax V_x V_y T_b) V_z T_b))) (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (forall ((T_b $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_lessequals V_y V_z T_b)) (not (tptp.c_lessequals V_x V_z T_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax V_x V_y T_b) V_z T_b)))) :rule implies_neg1)
% 0.86/1.13  (anchor :step t95)
% 0.86/1.13  (assume t95.a0 (forall ((T_b $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_lessequals V_y V_z T_b)) (not (tptp.c_lessequals V_x V_z T_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax V_x V_y T_b) V_z T_b))))
% 0.86/1.13  (step t95.t1 (cl (or (not (forall ((T_b $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_lessequals V_y V_z T_b)) (not (tptp.c_lessequals V_x V_z T_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax V_x V_y T_b) V_z T_b)))) (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))) :rule forall_inst :args ((:= T_b tptp.t_b) (:= V_y tptp.c_0) (:= V_z (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (:= V_x (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))))
% 0.86/1.13  (step t95.t2 (cl (not (forall ((T_b $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_lessequals V_y V_z T_b)) (not (tptp.c_lessequals V_x V_z T_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax V_x V_y T_b) V_z T_b)))) (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule or :premises (t95.t1))
% 0.86/1.13  (step t95.t3 (cl (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule resolution :premises (t95.t2 t95.a0))
% 0.86/1.13  (step t95 (cl (not (forall ((T_b $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_lessequals V_y V_z T_b)) (not (tptp.c_lessequals V_x V_z T_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax V_x V_y T_b) V_z T_b)))) (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule subproof :discharge (t95.a0))
% 0.86/1.13  (step t96 (cl (=> (forall ((T_b $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_lessequals V_y V_z T_b)) (not (tptp.c_lessequals V_x V_z T_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax V_x V_y T_b) V_z T_b))) (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule resolution :premises (t94 t95))
% 0.86/1.13  (step t97 (cl (=> (forall ((T_b $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_lessequals V_y V_z T_b)) (not (tptp.c_lessequals V_x V_z T_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax V_x V_y T_b) V_z T_b))) (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))) :rule implies_neg2)
% 0.86/1.13  (step t98 (cl (=> (forall ((T_b $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_lessequals V_y V_z T_b)) (not (tptp.c_lessequals V_x V_z T_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax V_x V_y T_b) V_z T_b))) (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (=> (forall ((T_b $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_lessequals V_y V_z T_b)) (not (tptp.c_lessequals V_x V_z T_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax V_x V_y T_b) V_z T_b))) (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))) :rule resolution :premises (t96 t97))
% 0.86/1.13  (step t99 (cl (=> (forall ((T_b $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_lessequals V_y V_z T_b)) (not (tptp.c_lessequals V_x V_z T_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax V_x V_y T_b) V_z T_b))) (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))) :rule contraction :premises (t98))
% 0.86/1.13  (step t100 (cl (not (forall ((T_b $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_lessequals V_y V_z T_b)) (not (tptp.c_lessequals V_x V_z T_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax V_x V_y T_b) V_z T_b)))) (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule implies :premises (t99))
% 0.86/1.13  (step t101 (cl (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule resolution :premises (t100 a16))
% 0.86/1.13  (step t102 (cl (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule resolution :premises (t82 a1 t93 t80 t101))
% 0.86/1.13  (step t103 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a)))) :rule implies_neg1)
% 0.86/1.13  (anchor :step t104)
% 0.86/1.13  (assume t104.a0 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))))
% 0.86/1.13  (step t104.t1 (cl (or (not (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_y tptp.c_0) (:= V_z (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (:= V_x (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))))
% 0.86/1.13  (step t104.t2 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule or :premises (t104.t1))
% 0.86/1.13  (step t104.t3 (cl (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule resolution :premises (t104.t2 t104.a0))
% 0.86/1.13  (step t104 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule subproof :discharge (t104.a0))
% 0.86/1.13  (step t105 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule resolution :premises (t103 t104))
% 0.86/1.13  (step t106 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))) :rule implies_neg2)
% 0.86/1.13  (step t107 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))) :rule resolution :premises (t105 t106))
% 0.86/1.13  (step t108 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))) :rule contraction :premises (t107))
% 0.86/1.13  (step t109 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule implies :premises (t108))
% 0.86/1.13  (step t110 (cl (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule resolution :premises (t109 a17))
% 0.86/1.13  (step t111 (cl (not (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b))) :rule resolution :premises (t69 t80 t102 t31 t110))
% 0.86/1.13  (step t112 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a)))) :rule implies_neg1)
% 0.86/1.13  (anchor :step t113)
% 0.86/1.13  (assume t113.a0 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a))))
% 0.86/1.13  (step t113.t1 (cl (or (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a)))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_a (tptp.v_k tptp.v_x)) (:= V_b (tptp.v_g tptp.v_x))))
% 0.86/1.13  (step t113.t2 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a)))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b))) :rule or :premises (t113.t1))
% 0.86/1.13  (step t113.t3 (cl (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b))) :rule resolution :premises (t113.t2 t113.a0))
% 0.86/1.13  (step t113 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a)))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b))) :rule subproof :discharge (t113.a0))
% 0.86/1.13  (step t114 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b))) :rule resolution :premises (t112 t113))
% 0.86/1.13  (step t115 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b))) (not (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)))) :rule implies_neg2)
% 0.86/1.13  (step t116 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)))) :rule resolution :premises (t114 t115))
% 0.86/1.13  (step t117 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)))) :rule contraction :premises (t116))
% 0.86/1.13  (step t118 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a)))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b))) :rule implies :premises (t117))
% 0.86/1.13  (step t119 (cl (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b))) :rule resolution :premises (t118 a11))
% 0.86/1.13  (step t120 (cl (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) :rule resolution :premises (t45 t67 t111 t119))
% 0.86/1.13  (step t121 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_less V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a))) (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_less V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a)))) :rule implies_neg1)
% 0.86/1.13  (anchor :step t122)
% 0.86/1.13  (assume t122.a0 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_less V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a))))
% 0.86/1.13  (step t122.t1 (cl (or (not (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_less V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a)))) (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_y (tptp.v_g tptp.v_x)) (:= V_x (tptp.v_k tptp.v_x))))
% 0.86/1.13  (step t122.t2 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_less V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a)))) (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) :rule or :premises (t122.t1))
% 0.86/1.13  (step t122.t3 (cl (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) :rule resolution :premises (t122.t2 t122.a0))
% 0.86/1.13  (step t122 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_less V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a)))) (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) :rule subproof :discharge (t122.a0))
% 0.86/1.13  (step t123 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_less V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a))) (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) :rule resolution :premises (t121 t122))
% 0.86/1.13  (step t124 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_less V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a))) (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) (not (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule implies_neg2)
% 0.86/1.13  (step t125 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_less V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a))) (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_less V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a))) (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule resolution :premises (t123 t124))
% 0.86/1.13  (step t126 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_less V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a))) (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule contraction :premises (t125))
% 0.86/1.13  (step t127 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_less V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a)))) (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) :rule implies :premises (t126))
% 0.86/1.13  (step t128 (cl (or (not (tptp.class_Orderings_Olinorder tptp.t_b)) (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) :rule resolution :premises (t127 a15))
% 0.86/1.13  (step t129 (cl (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) :rule resolution :premises (t43 t120 t93 t128))
% 0.86/1.13  (step t130 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_less V_x V_y T_a)) (tptp.c_lessequals V_x V_y T_a))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b))) (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_less V_x V_y T_a)) (tptp.c_lessequals V_x V_y T_a)))) :rule implies_neg1)
% 0.86/1.13  (anchor :step t131)
% 0.86/1.13  (assume t131.a0 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_less V_x V_y T_a)) (tptp.c_lessequals V_x V_y T_a))))
% 0.86/1.13  (step t131.t1 (cl (or (not (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_less V_x V_y T_a)) (tptp.c_lessequals V_x V_y T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_x (tptp.v_g tptp.v_x)) (:= V_y (tptp.v_k tptp.v_x))))
% 0.86/1.13  (step t131.t2 (cl (not (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_less V_x V_y T_a)) (tptp.c_lessequals V_x V_y T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b))) :rule or :premises (t131.t1))
% 0.86/1.13  (step t131.t3 (cl (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b))) :rule resolution :premises (t131.t2 t131.a0))
% 0.86/1.13  (step t131 (cl (not (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_less V_x V_y T_a)) (tptp.c_lessequals V_x V_y T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b))) :rule subproof :discharge (t131.a0))
% 0.86/1.13  (step t132 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_less V_x V_y T_a)) (tptp.c_lessequals V_x V_y T_a))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b))) :rule resolution :premises (t130 t131))
% 0.86/1.13  (step t133 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_less V_x V_y T_a)) (tptp.c_lessequals V_x V_y T_a))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b))) (not (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)))) :rule implies_neg2)
% 0.86/1.13  (step t134 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_less V_x V_y T_a)) (tptp.c_lessequals V_x V_y T_a))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b))) (=> (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_less V_x V_y T_a)) (tptp.c_lessequals V_x V_y T_a))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)))) :rule resolution :premises (t132 t133))
% 0.86/1.13  (step t135 (cl (=> (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_less V_x V_y T_a)) (tptp.c_lessequals V_x V_y T_a))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)))) :rule contraction :premises (t134))
% 0.86/1.13  (step t136 (cl (not (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_less V_x V_y T_a)) (tptp.c_lessequals V_x V_y T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b))) :rule implies :premises (t135))
% 0.86/1.13  (step t137 (cl (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_less (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b))) :rule resolution :premises (t136 a18))
% 0.86/1.13  (step t138 (cl (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) :rule resolution :premises (t41 t31 t129 t137))
% 0.86/1.13  (step t139 (cl (not (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b))) (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) :rule or_pos)
% 0.86/1.13  (step t140 (cl (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)))) :rule reordering :premises (t139))
% 0.86/1.13  (step t141 (cl (not (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule or_pos)
% 0.86/1.13  (step t142 (cl (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule reordering :premises (t141))
% 0.86/1.13  (step t143 (cl (not (= (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))))) (not (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))))) (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule equiv_pos2)
% 0.86/1.13  (step t144 (cl (= (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule refl)
% 0.86/1.13  (step t145 (cl (= (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))))) :rule refl)
% 0.86/1.13  (step t146 (cl (= (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule refl)
% 0.86/1.13  (step t147 (cl (= (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))))) :rule refl)
% 0.86/1.13  (step t148 (cl (= (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule refl)
% 0.86/1.13  (step t149 (cl (= (= (= (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) true) (= (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) :rule equiv_simplify)
% 0.86/1.13  (step t150 (cl (not (= (= (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) true)) (= (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule equiv1 :premises (t149))
% 0.86/1.13  (step t151 (cl (= (= (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))))) :rule all_simplify)
% 0.86/1.13  (step t152 (cl (= (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule refl)
% 0.86/1.13  (step t153 (cl (= (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule all_simplify)
% 0.86/1.13  (step t154 (cl (= (= (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) (= (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) :rule cong :premises (t152 t153))
% 0.86/1.13  (step t155 (cl (= (= (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) true)) :rule all_simplify)
% 0.86/1.13  (step t156 (cl (= (= (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) true)) :rule trans :premises (t154 t155))
% 0.86/1.13  (step t157 (cl (= (= (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) true)) :rule trans :premises (t151 t156))
% 0.86/1.13  (step t158 (cl (= (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule resolution :premises (t150 t157))
% 0.86/1.13  (step t159 (cl (= (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))))) :rule refl)
% 0.86/1.13  (step t160 (cl (= (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))))) :rule refl)
% 0.86/1.13  (step t161 (cl (= (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))))) :rule refl)
% 0.86/1.13  (step t162 (cl (= (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule refl)
% 0.86/1.13  (step t163 (cl (= (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))))) :rule refl)
% 0.86/1.13  (step t164 (cl (= (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))))) :rule refl)
% 0.86/1.13  (step t165 (cl (= (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule refl)
% 0.86/1.13  (step t166 (cl (= (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule refl)
% 0.86/1.13  (step t167 (cl (= (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))))) :rule refl)
% 0.86/1.13  (step t168 (cl (= (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))))) :rule refl)
% 0.86/1.13  (step t169 (cl (= (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule refl)
% 0.86/1.13  (step t170 (cl (= (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule refl)
% 0.86/1.13  (step t171 (cl (= (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))))) :rule cong :premises (t144 t145 t146 t147 t148 t158 t159 t160 t161 t162 t163 t164 t165 t166 t167 t168 t169 t170))
% 0.86/1.13  (step t172 (cl (not (= (=> (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))))) (not (=> (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule equiv_pos2)
% 0.86/1.13  (step t173 (cl (= (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule refl)
% 0.86/1.13  (step t174 (cl (= (= (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) false) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))))) :rule equiv_simplify)
% 0.86/1.13  (step t175 (cl (= (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) false) (not (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))))) :rule equiv2 :premises (t174))
% 0.86/1.13  (step t176 (cl (not (not (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))))) (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule not_not)
% 0.86/1.13  (step t177 (cl (= (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) false) (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule resolution :premises (t175 t176))
% 0.86/1.13  (step t178 (cl (=> (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) false) (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule implies_neg1)
% 0.86/1.13  (anchor :step t179)
% 0.86/1.13  (assume t179.a0 (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))
% 0.86/1.13  (assume t179.a1 (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))
% 0.86/1.13  (assume t179.a2 (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)))
% 0.86/1.13  (assume t179.a3 (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))
% 0.86/1.13  (assume t179.a4 (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))
% 0.86/1.13  (assume t179.a5 (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))
% 0.86/1.13  (assume t179.a6 (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))
% 0.86/1.13  (assume t179.a7 (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))
% 0.86/1.13  (assume t179.a8 (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))
% 0.86/1.13  (assume t179.a9 (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)))
% 0.86/1.13  (assume t179.a10 (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))
% 0.86/1.13  (assume t179.a11 (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)))
% 0.86/1.13  (assume t179.a12 (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))
% 0.86/1.13  (assume t179.a13 (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))
% 0.86/1.13  (assume t179.a14 (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))
% 0.86/1.13  (assume t179.a15 (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))
% 0.86/1.13  (assume t179.a16 (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)))
% 0.86/1.13  (assume t179.a17 (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))
% 0.86/1.13  (step t179.t1 (cl (not (= (= true false) false)) (not (= true false)) false) :rule equiv_pos2)
% 0.86/1.13  (step t179.t2 (cl (= (= true false) false)) :rule all_simplify)
% 0.86/1.13  (step t179.t3 (cl (= (= (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) true) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule equiv_simplify)
% 0.86/1.13  (step t179.t4 (cl (= (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) true) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule equiv2 :premises (t179.t3))
% 0.86/1.13  (step t179.t5 (cl (= (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) true)) :rule resolution :premises (t179.t4 t179.a17))
% 0.86/1.13  (step t179.t6 (cl (= true (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule symm :premises (t179.t5))
% 0.86/1.13  (step t179.t7 (cl (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) :rule symm :premises (t179.a2))
% 0.86/1.13  (step t179.t8 (cl (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_k tptp.v_x))) :rule symm :premises (t179.a1))
% 0.86/1.13  (step t179.t9 (cl (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_k tptp.v_x))) :rule trans :premises (t179.t7 t179.t8))
% 0.86/1.13  (step t179.t10 (cl (= (tptp.v_k tptp.v_x) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) :rule symm :premises (t179.t9))
% 0.86/1.13  (step t179.t11 (cl (= tptp.c_0 tptp.c_0)) :rule refl)
% 0.86/1.13  (step t179.t12 (cl (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) :rule symm :premises (t179.a12))
% 0.86/1.13  (step t179.t13 (cl (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x))) :rule symm :premises (t179.a11))
% 0.86/1.13  (step t179.t14 (cl (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_f tptp.v_x))) :rule trans :premises (t179.t12 t179.t13))
% 0.86/1.13  (step t179.t15 (cl (= tptp.t_b tptp.t_b)) :rule refl)
% 0.86/1.13  (step t179.t16 (cl (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) :rule cong :premises (t179.t11 t179.t14 t179.t15))
% 0.86/1.13  (step t179.t17 (cl (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule symm :premises (t179.t16))
% 0.86/1.13  (step t179.t18 (cl (= (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0)) :rule symm :premises (t179.a16))
% 0.86/1.13  (step t179.t19 (cl (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) :rule symm :premises (t179.t18))
% 0.86/1.13  (step t179.t20 (cl (= (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.t_b))) :rule cong :premises (t179.t11 t179.t19 t179.t15))
% 0.86/1.13  (step t179.t21 (cl (= (tptp.c_plus tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.t_b) (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b))) :rule cong :premises (t179.t19 t179.t18 t179.t15))
% 0.86/1.13  (step t179.t22 (cl (= tptp.c_0 (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b))) :rule trans :premises (t179.t19 t179.t20 t179.t21))
% 0.86/1.13  (step t179.t23 (cl (= (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b))) :rule trans :premises (t179.t18 t179.t22))
% 0.86/1.13  (step t179.t24 (cl (= (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b))) :rule refl)
% 0.86/1.13  (step t179.t25 (cl (= (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule cong :premises (t179.t23 t179.t24 t179.t15))
% 0.86/1.13  (step t179.t26 (cl (= (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b))) :rule symm :premises (t179.a15))
% 0.86/1.13  (step t179.t27 (cl (= (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule symm :premises (t179.a13))
% 0.86/1.13  (step t179.t28 (cl (= (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_f tptp.v_x))) :rule trans :premises (t179.t27 t179.t16 t179.t13))
% 0.86/1.13  (step t179.t29 (cl (= (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule symm :premises (t179.t28))
% 0.86/1.13  (step t179.t30 (cl (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule trans :premises (t179.t14 t179.t29))
% 0.86/1.13  (step t179.t31 (cl (= (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule symm :premises (t179.t30))
% 0.86/1.13  (step t179.t32 (cl (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_plus (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b))) :rule cong :premises (t179.t31 t179.t11 t179.t15))
% 0.86/1.13  (step t179.t33 (cl (= (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.c_0)) :rule symm :premises (t179.a14))
% 0.86/1.13  (step t179.t34 (cl (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) :rule symm :premises (t179.t33))
% 0.86/1.13  (step t179.t35 (cl (= (tptp.c_plus (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule cong :premises (t179.t30 t179.t34 t179.t15))
% 0.86/1.13  (step t179.t36 (cl (= (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) :rule refl)
% 0.86/1.13  (step t179.t37 (cl (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule cong :premises (t179.t28 t179.t36 t179.t15))
% 0.86/1.13  (step t179.t38 (cl (= (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) :rule symm :premises (t179.a10))
% 0.86/1.13  (step t179.t39 (cl (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) :rule symm :premises (t179.a9))
% 0.86/1.13  (step t179.t40 (cl (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) :rule symm :premises (t179.a8))
% 0.86/1.13  (step t179.t41 (cl (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule symm :premises (t179.t40))
% 0.86/1.13  (step t179.t42 (cl (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule symm :premises (t179.a7))
% 0.86/1.13  (step t179.t43 (cl (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule symm :premises (t179.t42))
% 0.86/1.13  (step t179.t44 (cl (= (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule symm :premises (t179.a6))
% 0.86/1.13  (step t179.t45 (cl (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule cong :premises (t179.t44 t179.t15))
% 0.86/1.13  (step t179.t46 (cl (= (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule symm :premises (t179.a5))
% 0.86/1.13  (step t179.t47 (cl (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule trans :premises (t179.t41 t179.t43 t179.t45 t179.t46))
% 0.86/1.13  (step t179.t48 (cl (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) :rule symm :premises (t179.a4))
% 0.86/1.13  (step t179.t49 (cl (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x))) :rule symm :premises (t179.a3))
% 0.86/1.13  (step t179.t50 (cl (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x))) :rule trans :premises (t179.t48 t179.t49))
% 0.86/1.13  (step t179.t51 (cl (= (tptp.v_g tptp.v_x) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule symm :premises (t179.t50))
% 0.86/1.13  (step t179.t52 (cl (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule cong :premises (t179.t47 t179.t51 t179.t15))
% 0.86/1.13  (step t179.t53 (cl (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule refl)
% 0.86/1.13  (step t179.t54 (cl (= (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) :rule cong :premises (t179.t53 t179.t50 t179.t15))
% 0.86/1.13  (step t179.t55 (cl (= (tptp.v_f tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) :rule trans :premises (t179.a11 t179.t17 t179.a13 t179.t25 t179.t26 t179.t32 t179.t35 t179.t37 t179.t38 t179.t39 t179.t52 t179.t54))
% 0.86/1.13  (step t179.t56 (cl (= (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_lessequals (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule cong :premises (t179.t10 t179.t55 t179.t15))
% 0.86/1.13  (step t179.t57 (cl (= (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) :rule refl)
% 0.86/1.13  (step t179.t58 (cl (= (tptp.c_lessequals (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule cong :premises (t179.t9 t179.t57 t179.t15))
% 0.86/1.13  (step t179.t59 (cl (= (= (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) false) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) :rule equiv_simplify)
% 0.86/1.13  (step t179.t60 (cl (= (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) false) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) :rule equiv2 :premises (t179.t59))
% 0.86/1.13  (step t179.t61 (cl (not (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) :rule not_not)
% 0.86/1.13  (step t179.t62 (cl (= (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) false) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) :rule resolution :premises (t179.t60 t179.t61))
% 0.86/1.13  (step t179.t63 (cl (= (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) false)) :rule resolution :premises (t179.t62 t179.a0))
% 0.86/1.13  (step t179.t64 (cl (= true false)) :rule trans :premises (t179.t6 t179.t56 t179.t58 t179.t63))
% 0.86/1.13  (step t179.t65 (cl false) :rule resolution :premises (t179.t1 t179.t2 t179.t64))
% 0.86/1.13  (step t179 (cl (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) false) :rule subproof :discharge (t179.a0 t179.a1 t179.a2 t179.a3 t179.a4 t179.a5 t179.a6 t179.a7 t179.a8 t179.a9 t179.a10 t179.a11 t179.a12 t179.a13 t179.a14 t179.a15 t179.a16 t179.a17))
% 0.86/1.13  (step t180 (cl (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule and_pos)
% 0.86/1.13  (step t181 (cl (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) :rule and_pos)
% 0.86/1.13  (step t182 (cl (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) :rule and_pos)
% 0.86/1.13  (step t183 (cl (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) :rule and_pos)
% 0.86/1.13  (step t184 (cl (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule and_pos)
% 0.86/1.13  (step t185 (cl (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule and_pos)
% 0.86/1.13  (step t186 (cl (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule and_pos)
% 0.86/1.13  (step t187 (cl (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule and_pos)
% 0.86/1.13  (step t188 (cl (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule and_pos)
% 0.86/1.13  (step t189 (cl (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) :rule and_pos)
% 0.86/1.13  (step t190 (cl (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule and_pos)
% 0.86/1.13  (step t191 (cl (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) :rule and_pos)
% 0.86/1.13  (step t192 (cl (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule and_pos)
% 0.86/1.13  (step t193 (cl (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule and_pos)
% 0.86/1.13  (step t194 (cl (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) :rule and_pos)
% 0.86/1.13  (step t195 (cl (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule and_pos)
% 0.86/1.13  (step t196 (cl (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) :rule and_pos)
% 0.86/1.13  (step t197 (cl (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) :rule and_pos)
% 0.86/1.13  (step t198 (cl false (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule resolution :premises (t179 t180 t181 t182 t183 t184 t185 t186 t187 t188 t189 t190 t191 t192 t193 t194 t195 t196 t197))
% 0.86/1.13  (step t199 (cl (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) false) :rule reordering :premises (t198))
% 0.86/1.14  (step t200 (cl (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) false) :rule contraction :premises (t199))
% 0.86/1.14  (step t201 (cl (=> (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) false) false) :rule resolution :premises (t178 t200))
% 0.86/1.14  (step t202 (cl (=> (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) false) (not false)) :rule implies_neg2)
% 0.86/1.14  (step t203 (cl (=> (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) false) (=> (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) false)) :rule resolution :premises (t201 t202))
% 0.86/1.14  (step t204 (cl (=> (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) false)) :rule contraction :premises (t203))
% 0.86/1.14  (step t205 (cl (= (=> (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) false) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))))) :rule implies_simplify)
% 0.86/1.14  (step t206 (cl (not (=> (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) false)) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule equiv1 :premises (t205))
% 0.86/1.14  (step t207 (cl (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule resolution :premises (t204 t206))
% 0.86/1.14  (step t208 (cl (= (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) false)) :rule resolution :premises (t177 t207))
% 0.86/1.14  (step t209 (cl (= (=> (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (=> (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) false))) :rule cong :premises (t173 t208))
% 0.86/1.14  (step t210 (cl (= (=> (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) false) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))))) :rule all_simplify)
% 0.86/1.14  (step t211 (cl (= (=> (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))))) :rule trans :premises (t209 t210))
% 0.86/1.14  (step t212 (cl (=> (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule implies_neg1)
% 0.86/1.14  (anchor :step t213)
% 0.86/1.14  (assume t213.a0 (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))
% 0.86/1.14  (assume t213.a1 (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))
% 0.86/1.14  (assume t213.a2 (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))
% 0.86/1.14  (assume t213.a3 (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))
% 0.86/1.14  (assume t213.a4 (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))
% 0.86/1.14  (assume t213.a5 (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))
% 0.86/1.14  (assume t213.a6 (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))
% 0.86/1.14  (assume t213.a7 (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))
% 0.86/1.14  (assume t213.a8 (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)))
% 0.86/1.14  (assume t213.a9 (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)))
% 0.86/1.14  (assume t213.a10 (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))
% 0.86/1.14  (assume t213.a11 (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)))
% 0.86/1.14  (assume t213.a12 (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))
% 0.86/1.14  (assume t213.a13 (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))
% 0.86/1.14  (assume t213.a14 (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))
% 0.86/1.14  (assume t213.a15 (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)))
% 0.86/1.14  (assume t213.a16 (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))
% 0.86/1.14  (assume t213.a17 (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))
% 0.86/1.14  (step t213.t1 (cl (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule and_neg)
% 0.86/1.14  (step t213.t2 (cl (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule resolution :premises (t213.t1 t213.a5 t213.a7 t213.a11 t213.a6 t213.a10 t213.a3 t213.a1 t213.a4 t213.a2 t213.a9 t213.a14 t213.a8 t213.a12 t213.a13 t213.a17 t213.a16 t213.a15 t213.a0))
% 0.86/1.14  (step t213 (cl (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule subproof :discharge (t213.a0 t213.a1 t213.a2 t213.a3 t213.a4 t213.a5 t213.a6 t213.a7 t213.a8 t213.a9 t213.a10 t213.a11 t213.a12 t213.a13 t213.a14 t213.a15 t213.a16 t213.a17))
% 0.86/1.14  (step t214 (cl (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) :rule and_pos)
% 0.86/1.14  (step t215 (cl (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule and_pos)
% 0.86/1.14  (step t216 (cl (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule and_pos)
% 0.86/1.14  (step t217 (cl (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule and_pos)
% 0.86/1.14  (step t218 (cl (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule and_pos)
% 0.86/1.14  (step t219 (cl (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule and_pos)
% 0.86/1.14  (step t220 (cl (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) :rule and_pos)
% 0.86/1.14  (step t221 (cl (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) :rule and_pos)
% 0.86/1.14  (step t222 (cl (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) :rule and_pos)
% 0.86/1.14  (step t223 (cl (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) :rule and_pos)
% 0.86/1.14  (step t224 (cl (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule and_pos)
% 0.86/1.14  (step t225 (cl (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) :rule and_pos)
% 0.86/1.14  (step t226 (cl (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule and_pos)
% 0.86/1.14  (step t227 (cl (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule and_pos)
% 0.86/1.14  (step t228 (cl (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule and_pos)
% 0.86/1.14  (step t229 (cl (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) :rule and_pos)
% 0.86/1.14  (step t230 (cl (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule and_pos)
% 0.86/1.14  (step t231 (cl (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) :rule and_pos)
% 0.86/1.14  (step t232 (cl (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule resolution :premises (t213 t214 t215 t216 t217 t218 t219 t220 t221 t222 t223 t224 t225 t226 t227 t228 t229 t230 t231))
% 0.86/1.14  (step t233 (cl (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule reordering :premises (t232))
% 0.86/1.14  (step t234 (cl (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule contraction :premises (t233))
% 0.86/1.14  (step t235 (cl (=> (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule resolution :premises (t212 t234))
% 0.86/1.14  (step t236 (cl (=> (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule implies_neg2)
% 0.86/1.14  (step t237 (cl (=> (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (=> (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule resolution :premises (t235 t236))
% 0.86/1.14  (step t238 (cl (=> (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) (and (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule contraction :premises (t237))
% 0.86/1.14  (step t239 (cl (not (and (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule resolution :premises (t172 t211 t238))
% 0.86/1.14  (step t240 (cl (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule not_and :premises (t239))
% 0.86/1.14  (step t241 (cl (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule or_neg)
% 0.86/1.14  (step t242 (cl (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))))) :rule or_neg)
% 0.86/1.14  (step t243 (cl (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule or_neg)
% 0.86/1.14  (step t244 (cl (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))))) :rule or_neg)
% 0.86/1.14  (step t245 (cl (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule or_neg)
% 0.86/1.14  (step t246 (cl (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))))) :rule or_neg)
% 0.86/1.14  (step t247 (cl (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))))) :rule or_neg)
% 0.86/1.14  (step t248 (cl (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))))) :rule or_neg)
% 0.86/1.14  (step t249 (cl (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))))) :rule or_neg)
% 0.86/1.14  (step t250 (cl (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule or_neg)
% 0.86/1.14  (step t251 (cl (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))))) :rule or_neg)
% 0.86/1.14  (step t252 (cl (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))))) :rule or_neg)
% 0.86/1.14  (step t253 (cl (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule or_neg)
% 0.86/1.14  (step t254 (cl (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule or_neg)
% 0.86/1.14  (step t255 (cl (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))))) :rule or_neg)
% 0.86/1.14  (step t256 (cl (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))))) :rule or_neg)
% 0.86/1.14  (step t257 (cl (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule or_neg)
% 0.86/1.14  (step t258 (cl (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule or_neg)
% 0.86/1.14  (step t259 (cl (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule resolution :premises (t240 t241 t242 t243 t244 t245 t246 t247 t248 t249 t250 t251 t252 t253 t254 t255 t256 t257 t258))
% 0.86/1.14  (step t260 (cl (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule contraction :premises (t259))
% 0.86/1.14  (step t261 (cl (or (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule resolution :premises (t143 t171 t260))
% 0.86/1.14  (step t262 (cl (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (not (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) (not (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (not (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule or :premises (t261))
% 0.86/1.14  (step t263 (cl (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule or_pos)
% 0.86/1.14  (step t264 (cl (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))))) :rule reordering :premises (t263))
% 0.86/1.14  (step t265 (cl (not (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Oab__group__add tptp.t_b))) (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) :rule or_pos)
% 0.86/1.14  (step t266 (cl (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Oab__group__add tptp.t_b) (not (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)))) :rule reordering :premises (t265))
% 0.86/1.14  (step t267 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Oab__group__add T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Oab__group__add tptp.t_b))) (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Oab__group__add T)))) :rule implies_neg1)
% 0.86/1.14  (anchor :step t268)
% 0.86/1.14  (assume t268.a0 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 0.86/1.14  (step t268.t1 (cl (or (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Oab__group__add T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)))) :rule forall_inst :args ((:= T tptp.t_b)))
% 0.86/1.14  (step t268.t2 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Oab__group__add T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Oab__group__add tptp.t_b))) :rule or :premises (t268.t1))
% 0.86/1.14  (step t268.t3 (cl (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Oab__group__add tptp.t_b))) :rule resolution :premises (t268.t2 t268.a0))
% 0.86/1.14  (step t268 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Oab__group__add T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Oab__group__add tptp.t_b))) :rule subproof :discharge (t268.a0))
% 0.86/1.14  (step t269 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Oab__group__add T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Oab__group__add tptp.t_b))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Oab__group__add tptp.t_b))) :rule resolution :premises (t267 t268))
% 0.86/1.14  (step t270 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Oab__group__add T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Oab__group__add tptp.t_b))) (not (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)))) :rule implies_neg2)
% 0.86/1.14  (step t271 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Oab__group__add T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Oab__group__add tptp.t_b))) (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Oab__group__add T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)))) :rule resolution :premises (t269 t270))
% 0.86/1.14  (step t272 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Oab__group__add T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)))) :rule contraction :premises (t271))
% 0.86/1.14  (step t273 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Oab__group__add T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Oab__group__add tptp.t_b))) :rule implies :premises (t272))
% 0.86/1.14  (step t274 (cl (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Oab__group__add tptp.t_b))) :rule resolution :premises (t273 a25))
% 0.86/1.14  (step t275 (cl (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) :rule resolution :premises (t266 a2 t274))
% 0.86/1.14  (step t276 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a))))) :rule implies_neg1)
% 0.86/1.14  (anchor :step t277)
% 0.86/1.14  (assume t277.a0 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))))
% 0.86/1.14  (step t277.t1 (cl (or (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_a (tptp.v_f tptp.v_x)) (:= V_b (tptp.v_g tptp.v_x))))
% 0.86/1.14  (step t277.t2 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule or :premises (t277.t1))
% 0.86/1.14  (step t277.t3 (cl (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule resolution :premises (t277.t2 t277.a0))
% 0.86/1.14  (step t277 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule subproof :discharge (t277.a0))
% 0.86/1.14  (step t278 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule resolution :premises (t276 t277))
% 0.86/1.14  (step t279 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))))) :rule implies_neg2)
% 0.86/1.14  (step t280 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))))) :rule resolution :premises (t278 t279))
% 0.86/1.14  (step t281 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))))) :rule contraction :premises (t280))
% 0.86/1.14  (step t282 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule implies :premises (t281))
% 0.86/1.14  (step t283 (cl (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule resolution :premises (t282 a14))
% 0.86/1.14  (step t284 (cl (= (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule resolution :premises (t264 t275 t283))
% 0.86/1.14  (step t285 (cl (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule or_pos)
% 0.86/1.14  (step t286 (cl (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule reordering :premises (t285))
% 0.86/1.14  (step t287 (cl (not (= (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))))) (not (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule equiv_pos2)
% 0.86/1.14  (step t288 (cl (= (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))))) :rule refl)
% 0.86/1.14  (step t289 (cl (= (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)))) :rule refl)
% 0.86/1.14  (step t290 (cl (= (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule all_simplify)
% 0.86/1.14  (step t291 (cl (= (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule cong :premises (t289 t290))
% 0.86/1.14  (step t292 (cl (= (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))))) :rule cong :premises (t288 t291))
% 0.86/1.14  (step t293 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a))))) :rule implies_neg1)
% 0.86/1.14  (anchor :step t294)
% 0.86/1.14  (assume t294.a0 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))))
% 0.86/1.14  (step t294.t1 (cl (or (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_a (tptp.v_g tptp.v_x)) (:= V_b (tptp.v_f tptp.v_x))))
% 0.86/1.14  (step t294.t2 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule or :premises (t294.t1))
% 0.86/1.14  (step t294.t3 (cl (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule resolution :premises (t294.t2 t294.a0))
% 0.86/1.14  (step t294 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule subproof :discharge (t294.a0))
% 0.86/1.14  (step t295 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule resolution :premises (t293 t294))
% 0.86/1.14  (step t296 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule implies_neg2)
% 0.86/1.14  (step t297 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule resolution :premises (t295 t296))
% 0.86/1.14  (step t298 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule contraction :premises (t297))
% 0.86/1.14  (step t299 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule resolution :premises (t287 t292 t298))
% 0.86/1.14  (step t300 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule implies :premises (t299))
% 0.86/1.14  (step t301 (cl (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule resolution :premises (t300 a14))
% 0.86/1.14  (step t302 (cl (= (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule resolution :premises (t286 t275 t301))
% 0.86/1.14  (step t303 (cl (not (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))) (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule or_pos)
% 0.86/1.14  (step t304 (cl (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) (not (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))))) :rule reordering :premises (t303))
% 0.86/1.14  (step t305 (cl (not (= (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_uminus V_a T_a) T_a) (tptp.c_HOL_Oabs V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_uminus V_a T_a) T_a) (tptp.c_HOL_Oabs V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))))) (not (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_uminus V_a T_a) T_a) (tptp.c_HOL_Oabs V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_uminus V_a T_a) T_a) (tptp.c_HOL_Oabs V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))))) :rule equiv_pos2)
% 0.86/1.14  (step t306 (cl (= (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_uminus V_a T_a) T_a) (tptp.c_HOL_Oabs V_a T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_uminus V_a T_a) T_a) (tptp.c_HOL_Oabs V_a T_a)))))) :rule refl)
% 0.86/1.14  (step t307 (cl (= (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)))) :rule refl)
% 0.86/1.14  (step t308 (cl (= (= (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))) :rule all_simplify)
% 0.86/1.14  (step t309 (cl (= (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))))) :rule cong :premises (t307 t308))
% 0.86/1.14  (step t310 (cl (= (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_uminus V_a T_a) T_a) (tptp.c_HOL_Oabs V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_uminus V_a T_a) T_a) (tptp.c_HOL_Oabs V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))))) :rule cong :premises (t306 t309))
% 0.86/1.14  (step t311 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_uminus V_a T_a) T_a) (tptp.c_HOL_Oabs V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_uminus V_a T_a) T_a) (tptp.c_HOL_Oabs V_a T_a))))) :rule implies_neg1)
% 0.86/1.14  (anchor :step t312)
% 0.86/1.14  (assume t312.a0 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_uminus V_a T_a) T_a) (tptp.c_HOL_Oabs V_a T_a)))))
% 0.86/1.14  (step t312.t1 (cl (or (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_uminus V_a T_a) T_a) (tptp.c_HOL_Oabs V_a T_a))))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_a (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))))
% 0.86/1.14  (step t312.t2 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_uminus V_a T_a) T_a) (tptp.c_HOL_Oabs V_a T_a))))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) :rule or :premises (t312.t1))
% 0.86/1.14  (step t312.t3 (cl (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) :rule resolution :premises (t312.t2 t312.a0))
% 0.86/1.14  (step t312 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_uminus V_a T_a) T_a) (tptp.c_HOL_Oabs V_a T_a))))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) :rule subproof :discharge (t312.a0))
% 0.86/1.14  (step t313 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_uminus V_a T_a) T_a) (tptp.c_HOL_Oabs V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) :rule resolution :premises (t311 t312))
% 0.86/1.14  (step t314 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_uminus V_a T_a) T_a) (tptp.c_HOL_Oabs V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) (not (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))))) :rule implies_neg2)
% 0.86/1.14  (step t315 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_uminus V_a T_a) T_a) (tptp.c_HOL_Oabs V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_uminus V_a T_a) T_a) (tptp.c_HOL_Oabs V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))))) :rule resolution :premises (t313 t314))
% 0.86/1.14  (step t316 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_uminus V_a T_a) T_a) (tptp.c_HOL_Oabs V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))))) :rule contraction :premises (t315))
% 0.86/1.14  (step t317 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_uminus V_a T_a) T_a) (tptp.c_HOL_Oabs V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))))) :rule resolution :premises (t305 t310 t316))
% 0.86/1.14  (step t318 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_uminus V_a T_a) T_a) (tptp.c_HOL_Oabs V_a T_a))))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))) :rule implies :premises (t317))
% 0.86/1.14  (step t319 (cl (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))) :rule resolution :premises (t318 a4))
% 0.86/1.14  (step t320 (cl (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_uminus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule resolution :premises (t304 t58 t319))
% 0.86/1.14  (step t321 (cl (not (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)) :rule or_pos)
% 0.86/1.14  (step t322 (cl (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (not (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))) :rule reordering :premises (t321))
% 0.86/1.14  (step t323 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a (tptp.c_plus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) V_c T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a (tptp.c_plus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) V_c T_a)))) :rule implies_neg1)
% 0.86/1.14  (anchor :step t324)
% 0.86/1.14  (assume t324.a0 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a (tptp.c_plus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) V_c T_a))))
% 0.86/1.14  (step t324.t1 (cl (or (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a (tptp.c_plus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_a (tptp.v_k tptp.v_x)) (:= V_c (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (:= V_b (tptp.v_g tptp.v_x))))
% 0.86/1.14  (step t324.t2 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a (tptp.c_plus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule or :premises (t324.t1))
% 0.86/1.14  (step t324.t3 (cl (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule resolution :premises (t324.t2 t324.a0))
% 0.86/1.14  (step t324 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a (tptp.c_plus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule subproof :discharge (t324.a0))
% 0.86/1.14  (step t325 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a (tptp.c_plus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) V_c T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule resolution :premises (t323 t324))
% 0.86/1.14  (step t326 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a (tptp.c_plus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) V_c T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (not (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))) :rule implies_neg2)
% 0.86/1.14  (step t327 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a (tptp.c_plus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) V_c T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a (tptp.c_plus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) V_c T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))) :rule resolution :premises (t325 t326))
% 0.86/1.14  (step t328 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a (tptp.c_plus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) V_c T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b)))) :rule contraction :premises (t327))
% 0.86/1.14  (step t329 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a (tptp.c_plus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule implies :premises (t328))
% 0.86/1.14  (step t330 (cl (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_k tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b))) :rule resolution :premises (t329 a10))
% 0.86/1.14  (step t331 (cl (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.c_plus (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule resolution :premises (t322 t67 t102 t330))
% 0.86/1.14  (step t332 (cl (not (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) :rule or_pos)
% 0.86/1.14  (step t333 (cl (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (not (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))))) :rule reordering :premises (t332))
% 0.86/1.14  (step t334 (cl (not (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b))) (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) :rule or_pos)
% 0.86/1.14  (step t335 (cl (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b) (not (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)))) :rule reordering :premises (t334))
% 0.86/1.14  (step t336 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b))) (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T)))) :rule implies_neg1)
% 0.86/1.14  (anchor :step t337)
% 0.86/1.14  (assume t337.a0 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 0.86/1.14  (step t337.t1 (cl (or (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)))) :rule forall_inst :args ((:= T tptp.t_b)))
% 0.86/1.14  (step t337.t2 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b))) :rule or :premises (t337.t1))
% 0.86/1.14  (step t337.t3 (cl (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b))) :rule resolution :premises (t337.t2 t337.a0))
% 0.86/1.14  (step t337 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b))) :rule subproof :discharge (t337.a0))
% 0.86/1.14  (step t338 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b))) :rule resolution :premises (t336 t337))
% 0.86/1.14  (step t339 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b))) (not (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)))) :rule implies_neg2)
% 0.86/1.14  (step t340 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b))) (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)))) :rule resolution :premises (t338 t339))
% 0.86/1.14  (step t341 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)))) :rule contraction :premises (t340))
% 0.86/1.14  (step t342 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b))) :rule implies :premises (t341))
% 0.86/1.14  (step t343 (cl (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b))) :rule resolution :premises (t342 a22))
% 0.86/1.14  (step t344 (cl (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) :rule resolution :premises (t335 a2 t343))
% 0.86/1.14  (step t345 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) :rule implies_neg1)
% 0.86/1.14  (anchor :step t346)
% 0.86/1.14  (assume t346.a0 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))))
% 0.86/1.14  (step t346.t1 (cl (or (not (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_y (tptp.v_g tptp.v_x))))
% 0.86/1.14  (step t346.t2 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) :rule or :premises (t346.t1))
% 0.86/1.14  (step t346.t3 (cl (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) :rule resolution :premises (t346.t2 t346.a0))
% 0.86/1.14  (step t346 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) :rule subproof :discharge (t346.a0))
% 0.86/1.14  (step t347 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) :rule resolution :premises (t345 t346))
% 0.86/1.14  (step t348 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) (not (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))))) :rule implies_neg2)
% 0.86/1.14  (step t349 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))))) :rule resolution :premises (t347 t348))
% 0.86/1.14  (step t350 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))))) :rule contraction :premises (t349))
% 0.86/1.14  (step t351 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) :rule implies :premises (t350))
% 0.86/1.14  (step t352 (cl (not (= (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_plus tptp.c_0 V_y T_a) V_y))) (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))))) (not (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_plus tptp.c_0 V_y T_a) V_y)))) (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) :rule equiv_pos2)
% 0.86/1.14  (anchor :step t353 :args ((T_a $$unsorted) (:= T_a T_a) (V_y $$unsorted) (:= V_y V_y)))
% 0.86/1.14  (step t353.t1 (cl (= T_a T_a)) :rule refl)
% 0.86/1.14  (step t353.t2 (cl (= V_y V_y)) :rule refl)
% 0.86/1.14  (step t353.t3 (cl (= (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)))) :rule refl)
% 0.86/1.14  (step t353.t4 (cl (= (= (tptp.c_plus tptp.c_0 V_y T_a) V_y) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) :rule all_simplify)
% 0.86/1.14  (step t353.t5 (cl (= (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_plus tptp.c_0 V_y T_a) V_y)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) :rule cong :premises (t353.t3 t353.t4))
% 0.86/1.14  (step t353 (cl (= (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_plus tptp.c_0 V_y T_a) V_y))) (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))))) :rule bind)
% 0.86/1.14  (step t354 (cl (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) :rule resolution :premises (t352 t353 a7))
% 0.86/1.14  (step t355 (cl (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) :rule resolution :premises (t351 t354))
% 0.86/1.14  (step t356 (cl (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) :rule resolution :premises (t333 t344 t355))
% 0.86/1.14  (step t357 (cl (not (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) :rule or_pos)
% 0.86/1.14  (step t358 (cl (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (not (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))))) :rule reordering :premises (t357))
% 0.86/1.14  (step t359 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) :rule implies_neg1)
% 0.86/1.14  (anchor :step t360)
% 0.86/1.14  (assume t360.a0 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))))
% 0.86/1.14  (step t360.t1 (cl (or (not (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_y (tptp.v_k tptp.v_x))))
% 0.86/1.14  (step t360.t2 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) :rule or :premises (t360.t1))
% 0.86/1.14  (step t360.t3 (cl (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) :rule resolution :premises (t360.t2 t360.a0))
% 0.86/1.14  (step t360 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) :rule subproof :discharge (t360.a0))
% 0.86/1.14  (step t361 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) :rule resolution :premises (t359 t360))
% 0.86/1.14  (step t362 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) (not (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))))) :rule implies_neg2)
% 0.86/1.14  (step t363 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))))) :rule resolution :premises (t361 t362))
% 0.86/1.14  (step t364 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))))) :rule contraction :premises (t363))
% 0.86/1.14  (step t365 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) :rule implies :premises (t364))
% 0.86/1.14  (step t366 (cl (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) :rule resolution :premises (t365 t354))
% 0.86/1.14  (step t367 (cl (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) :rule resolution :premises (t358 t344 t366))
% 0.86/1.14  (step t368 (cl (not (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)))) (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) :rule or_pos)
% 0.86/1.14  (step t369 (cl (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (not (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))))) :rule reordering :premises (t368))
% 0.86/1.14  (step t370 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)))) (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) :rule implies_neg1)
% 0.86/1.14  (anchor :step t371)
% 0.86/1.14  (assume t371.a0 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))))
% 0.86/1.14  (step t371.t1 (cl (or (not (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_y (tptp.v_f tptp.v_x))))
% 0.86/1.14  (step t371.t2 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)))) :rule or :premises (t371.t1))
% 0.86/1.14  (step t371.t3 (cl (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)))) :rule resolution :premises (t371.t2 t371.a0))
% 0.86/1.14  (step t371 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)))) :rule subproof :discharge (t371.a0))
% 0.86/1.14  (step t372 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)))) :rule resolution :premises (t370 t371))
% 0.86/1.14  (step t373 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)))) (not (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))))) :rule implies_neg2)
% 0.86/1.14  (step t374 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))))) :rule resolution :premises (t372 t373))
% 0.86/1.14  (step t375 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))))) :rule contraction :premises (t374))
% 0.86/1.14  (step t376 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)))) :rule implies :premises (t375))
% 0.86/1.14  (step t377 (cl (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)))) :rule resolution :premises (t376 t354))
% 0.86/1.14  (step t378 (cl (= (tptp.v_f tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) :rule resolution :premises (t369 t344 t377))
% 0.86/1.14  (step t379 (cl (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) :rule or_pos)
% 0.86/1.14  (step t380 (cl (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule reordering :premises (t379))
% 0.86/1.14  (step t381 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a))))) :rule implies_neg1)
% 0.86/1.14  (anchor :step t382)
% 0.86/1.14  (assume t382.a0 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a)))))
% 0.86/1.14  (step t382.t1 (cl (or (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_a (tptp.v_f tptp.v_x)) (:= V_b (tptp.v_g tptp.v_x)) (:= V_c (tptp.v_g tptp.v_x))))
% 0.86/1.14  (step t382.t2 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule or :premises (t382.t1))
% 0.86/1.14  (step t382.t3 (cl (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule resolution :premises (t382.t2 t382.a0))
% 0.86/1.14  (step t382 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule subproof :discharge (t382.a0))
% 0.86/1.14  (step t383 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule resolution :premises (t381 t382))
% 0.86/1.14  (step t384 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule implies_neg2)
% 0.86/1.14  (step t385 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule resolution :premises (t383 t384))
% 0.86/1.14  (step t386 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule contraction :premises (t385))
% 0.86/1.14  (step t387 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule implies :premises (t386))
% 0.86/1.14  (step t388 (cl (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule resolution :premises (t387 a9))
% 0.86/1.14  (step t389 (cl (= (tptp.c_plus (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) :rule resolution :premises (t380 t275 t388))
% 0.86/1.14  (step t390 (cl (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule or_pos)
% 0.86/1.14  (step t391 (cl (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))))) :rule reordering :premises (t390))
% 0.86/1.14  (step t392 (cl (not (= (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))))) (not (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))))) :rule equiv_pos2)
% 0.86/1.14  (step t393 (cl (= (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))))) :rule refl)
% 0.86/1.14  (step t394 (cl (= (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) :rule all_simplify)
% 0.86/1.14  (step t395 (cl (= (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))))) :rule cong :premises (t289 t394))
% 0.86/1.14  (step t396 (cl (= (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))))) :rule cong :premises (t393 t395))
% 0.86/1.14  (step t397 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a))))) :rule implies_neg1)
% 0.86/1.14  (anchor :step t398)
% 0.86/1.14  (assume t398.a0 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))))
% 0.86/1.14  (step t398.t1 (cl (or (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_a tptp.c_0) (:= V_b (tptp.v_g tptp.v_x))))
% 0.86/1.14  (step t398.t2 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) :rule or :premises (t398.t1))
% 0.86/1.14  (step t398.t3 (cl (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) :rule resolution :premises (t398.t2 t398.a0))
% 0.86/1.14  (step t398 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) :rule subproof :discharge (t398.a0))
% 0.86/1.14  (step t399 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) :rule resolution :premises (t397 t398))
% 0.86/1.14  (step t400 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))))) :rule implies_neg2)
% 0.86/1.14  (step t401 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))))) :rule resolution :premises (t399 t400))
% 0.86/1.14  (step t402 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))))) :rule contraction :premises (t401))
% 0.86/1.14  (step t403 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))))) :rule resolution :premises (t392 t396 t402))
% 0.86/1.14  (step t404 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) :rule implies :premises (t403))
% 0.86/1.14  (step t405 (cl (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) :rule resolution :premises (t404 a12))
% 0.86/1.14  (step t406 (cl (= (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule resolution :premises (t391 t275 t405))
% 0.86/1.14  (step t407 (cl (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)))) (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) :rule or_pos)
% 0.86/1.14  (step t408 (cl (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))))) :rule reordering :premises (t407))
% 0.86/1.14  (step t409 (cl (not (= (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)))))) (not (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))))) :rule equiv_pos2)
% 0.86/1.14  (step t410 (cl (= (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)))) :rule all_simplify)
% 0.86/1.14  (step t411 (cl (= (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))))) :rule cong :premises (t289 t410))
% 0.86/1.14  (step t412 (cl (= (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)))))) :rule cong :premises (t393 t411))
% 0.86/1.14  (step t413 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a))))) :rule implies_neg1)
% 0.86/1.14  (anchor :step t414)
% 0.86/1.14  (assume t414.a0 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))))
% 0.86/1.14  (step t414.t1 (cl (or (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_a tptp.c_0) (:= V_b (tptp.v_k tptp.v_x))))
% 0.86/1.14  (step t414.t2 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) :rule or :premises (t414.t1))
% 0.86/1.14  (step t414.t3 (cl (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) :rule resolution :premises (t414.t2 t414.a0))
% 0.86/1.14  (step t414 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) :rule subproof :discharge (t414.a0))
% 0.86/1.14  (step t415 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) :rule resolution :premises (t413 t414))
% 0.86/1.14  (step t416 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))))) :rule implies_neg2)
% 0.86/1.14  (step t417 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))))) :rule resolution :premises (t415 t416))
% 0.86/1.14  (step t418 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))))) :rule contraction :premises (t417))
% 0.86/1.14  (step t419 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))))) :rule resolution :premises (t409 t412 t418))
% 0.86/1.14  (step t420 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)))) :rule implies :premises (t419))
% 0.86/1.14  (step t421 (cl (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)))) :rule resolution :premises (t420 a12))
% 0.86/1.14  (step t422 (cl (= (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) :rule resolution :premises (t408 t275 t421))
% 0.86/1.14  (step t423 (cl (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule or_pos)
% 0.86/1.14  (step t424 (cl (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule reordering :premises (t423))
% 0.86/1.14  (step t425 (cl (not (= (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))))) (not (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule equiv_pos2)
% 0.86/1.14  (step t426 (cl (= (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule all_simplify)
% 0.86/1.14  (step t427 (cl (= (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule cong :premises (t289 t426))
% 0.86/1.14  (step t428 (cl (= (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))))) :rule cong :premises (t393 t427))
% 0.86/1.14  (step t429 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a))))) :rule implies_neg1)
% 0.86/1.14  (anchor :step t430)
% 0.86/1.14  (assume t430.a0 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))))
% 0.86/1.14  (step t430.t1 (cl (or (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_a tptp.c_0) (:= V_b (tptp.v_f tptp.v_x))))
% 0.86/1.14  (step t430.t2 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)))) :rule or :premises (t430.t1))
% 0.86/1.14  (step t430.t3 (cl (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)))) :rule resolution :premises (t430.t2 t430.a0))
% 0.86/1.14  (step t430 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)))) :rule subproof :discharge (t430.a0))
% 0.86/1.14  (step t431 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)))) :rule resolution :premises (t429 t430))
% 0.86/1.14  (step t432 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)))) (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))))) :rule implies_neg2)
% 0.86/1.14  (step t433 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))))) :rule resolution :premises (t431 t432))
% 0.86/1.14  (step t434 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b))))) :rule contraction :premises (t433))
% 0.86/1.14  (step t435 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule resolution :premises (t425 t428 t434))
% 0.86/1.14  (step t436 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule implies :premises (t435))
% 0.86/1.14  (step t437 (cl (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule resolution :premises (t436 a12))
% 0.86/1.14  (step t438 (cl (= (tptp.c_plus tptp.c_0 (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule resolution :premises (t424 t275 t437))
% 0.86/1.14  (step t439 (cl (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule or_pos)
% 0.86/1.14  (step t440 (cl (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule reordering :premises (t439))
% 0.86/1.14  (step t441 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a))))) :rule implies_neg1)
% 0.86/1.14  (anchor :step t442)
% 0.86/1.14  (assume t442.a0 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a)))))
% 0.86/1.14  (step t442.t1 (cl (or (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_a tptp.c_0) (:= V_b tptp.c_0) (:= V_c (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b))))
% 0.86/1.14  (step t442.t2 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule or :premises (t442.t1))
% 0.86/1.14  (step t442.t3 (cl (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule resolution :premises (t442.t2 t442.a0))
% 0.86/1.14  (step t442 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule subproof :discharge (t442.a0))
% 0.86/1.14  (step t443 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule resolution :premises (t441 t442))
% 0.86/1.14  (step t444 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule implies_neg2)
% 0.86/1.14  (step t445 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule resolution :premises (t443 t444))
% 0.86/1.14  (step t446 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule contraction :premises (t445))
% 0.86/1.14  (step t447 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule implies :premises (t446))
% 0.86/1.14  (step t448 (cl (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule resolution :premises (t447 a8))
% 0.86/1.14  (step t449 (cl (= (tptp.c_plus tptp.c_0 (tptp.c_minus tptp.c_0 (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule resolution :premises (t440 t275 t448))
% 0.86/1.14  (step t450 (cl (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule or_pos)
% 0.86/1.14  (step t451 (cl (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))))) :rule reordering :premises (t450))
% 0.86/1.14  (step t452 (cl (not (= (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))))) (not (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))))) :rule equiv_pos2)
% 0.86/1.14  (step t453 (cl (= (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a)))))) :rule refl)
% 0.86/1.14  (step t454 (cl (= (= (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) :rule all_simplify)
% 0.86/1.14  (step t455 (cl (= (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))))) :rule cong :premises (t289 t454))
% 0.86/1.14  (step t456 (cl (= (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))))) :rule cong :premises (t453 t455))
% 0.86/1.14  (step t457 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a))))) :rule implies_neg1)
% 0.86/1.14  (anchor :step t458)
% 0.86/1.14  (assume t458.a0 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a)))))
% 0.86/1.14  (step t458.t1 (cl (or (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_a (tptp.v_f tptp.v_x)) (:= V_b (tptp.v_g tptp.v_x)) (:= V_c (tptp.v_g tptp.v_x))))
% 0.86/1.14  (step t458.t2 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule or :premises (t458.t1))
% 0.86/1.14  (step t458.t3 (cl (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule resolution :premises (t458.t2 t458.a0))
% 0.86/1.14  (step t458 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule subproof :discharge (t458.a0))
% 0.86/1.14  (step t459 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule resolution :premises (t457 t458))
% 0.86/1.14  (step t460 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule implies_neg2)
% 0.86/1.14  (step t461 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule resolution :premises (t459 t460))
% 0.86/1.14  (step t462 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule contraction :premises (t461))
% 0.86/1.14  (step t463 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))))) :rule resolution :premises (t452 t456 t462))
% 0.86/1.14  (step t464 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) :rule implies :premises (t463))
% 0.86/1.14  (step t465 (cl (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) :rule resolution :premises (t464 a8))
% 0.86/1.14  (step t466 (cl (= (tptp.c_minus (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_g tptp.v_x) tptp.t_b) (tptp.c_plus (tptp.v_f tptp.v_x) (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule resolution :premises (t451 t275 t465))
% 0.86/1.14  (step t467 (cl (not (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)))) (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) :rule or_pos)
% 0.86/1.14  (step t468 (cl (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (not (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))))) :rule reordering :premises (t467))
% 0.86/1.14  (step t469 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)))) (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) :rule implies_neg1)
% 0.86/1.14  (anchor :step t470)
% 0.86/1.14  (assume t470.a0 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))))
% 0.86/1.14  (step t470.t1 (cl (or (not (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_y tptp.c_0)))
% 0.86/1.14  (step t470.t2 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)))) :rule or :premises (t470.t1))
% 0.86/1.14  (step t470.t3 (cl (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)))) :rule resolution :premises (t470.t2 t470.a0))
% 0.86/1.14  (step t470 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)))) :rule subproof :discharge (t470.a0))
% 0.86/1.14  (step t471 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)))) :rule resolution :premises (t469 t470))
% 0.86/1.14  (step t472 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)))) (not (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))))) :rule implies_neg2)
% 0.86/1.14  (step t473 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))))) :rule resolution :premises (t471 t472))
% 0.86/1.14  (step t474 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))))) :rule contraction :premises (t473))
% 0.86/1.14  (step t475 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)))) :rule implies :premises (t474))
% 0.86/1.14  (step t476 (cl (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)))) :rule resolution :premises (t475 t354))
% 0.86/1.14  (step t477 (cl (= tptp.c_0 (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b))) :rule resolution :premises (t468 t344 t476))
% 0.86/1.14  (step t478 (cl (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule or_pos)
% 0.86/1.14  (step t479 (cl (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule reordering :premises (t478))
% 0.86/1.14  (step t480 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a))))) :rule implies_neg1)
% 0.86/1.14  (anchor :step t481)
% 0.86/1.14  (assume t481.a0 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a)))))
% 0.86/1.14  (step t481.t1 (cl (or (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_a (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) (:= V_b (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b)) (:= V_c tptp.c_0)))
% 0.86/1.14  (step t481.t2 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule or :premises (t481.t1))
% 0.86/1.14  (step t481.t3 (cl (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule resolution :premises (t481.t2 t481.a0))
% 0.86/1.14  (step t481 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule subproof :discharge (t481.a0))
% 0.86/1.14  (step t482 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule resolution :premises (t480 t481))
% 0.86/1.14  (step t483 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule implies_neg2)
% 0.86/1.14  (step t484 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule resolution :premises (t482 t483))
% 0.86/1.14  (step t485 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule contraction :premises (t484))
% 0.86/1.14  (step t486 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule implies :premises (t485))
% 0.86/1.14  (step t487 (cl (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule resolution :premises (t486 a9))
% 0.86/1.14  (step t488 (cl (= (tptp.c_plus (tptp.c_minus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_minus (tptp.c_plus (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b) tptp.c_0 tptp.t_b) (tptp.c_uminus (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) :rule resolution :premises (t479 t275 t487))
% 0.86/1.14  (step t489 (cl (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) :rule or_pos)
% 0.86/1.14  (step t490 (cl (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)) (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule reordering :premises (t489))
% 0.86/1.14  (step t491 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= tptp.c_0 (tptp.c_minus V_a V_a T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= tptp.c_0 (tptp.c_minus V_a V_a T_a))))) :rule implies_neg1)
% 0.86/1.14  (anchor :step t492)
% 0.86/1.14  (assume t492.a0 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= tptp.c_0 (tptp.c_minus V_a V_a T_a)))))
% 0.86/1.14  (step t492.t1 (cl (or (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= tptp.c_0 (tptp.c_minus V_a V_a T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_a (tptp.v_g tptp.v_x))))
% 0.86/1.14  (step t492.t2 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= tptp.c_0 (tptp.c_minus V_a V_a T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule or :premises (t492.t1))
% 0.86/1.14  (step t492.t3 (cl (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule resolution :premises (t492.t2 t492.a0))
% 0.86/1.14  (step t492 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= tptp.c_0 (tptp.c_minus V_a V_a T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule subproof :discharge (t492.a0))
% 0.86/1.14  (step t493 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= tptp.c_0 (tptp.c_minus V_a V_a T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule resolution :premises (t491 t492))
% 0.86/1.14  (step t494 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= tptp.c_0 (tptp.c_minus V_a V_a T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (not (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule implies_neg2)
% 0.86/1.14  (step t495 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= tptp.c_0 (tptp.c_minus V_a V_a T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= tptp.c_0 (tptp.c_minus V_a V_a T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule resolution :premises (t493 t494))
% 0.86/1.14  (step t496 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= tptp.c_0 (tptp.c_minus V_a V_a T_a)))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))))) :rule contraction :premises (t495))
% 0.86/1.14  (step t497 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= tptp.c_0 (tptp.c_minus V_a V_a T_a))))) (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule implies :premises (t496))
% 0.86/1.14  (step t498 (cl (not (= (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a V_a T_a) tptp.c_0))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= tptp.c_0 (tptp.c_minus V_a V_a T_a)))))) (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a V_a T_a) tptp.c_0)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= tptp.c_0 (tptp.c_minus V_a V_a T_a))))) :rule equiv_pos2)
% 0.86/1.14  (anchor :step t499 :args ((T_a $$unsorted) (:= T_a T_a) (V_a $$unsorted) (:= V_a V_a)))
% 0.86/1.14  (step t499.t1 (cl (= T_a T_a)) :rule refl)
% 0.86/1.14  (step t499.t2 (cl (= V_a V_a)) :rule refl)
% 0.86/1.14  (step t499.t3 (cl (= (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (tptp.class_OrderedGroup_Oab__group__add T_a)))) :rule refl)
% 0.86/1.14  (step t499.t4 (cl (= (= (tptp.c_minus V_a V_a T_a) tptp.c_0) (= tptp.c_0 (tptp.c_minus V_a V_a T_a)))) :rule all_simplify)
% 0.86/1.14  (step t499.t5 (cl (= (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a V_a T_a) tptp.c_0)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= tptp.c_0 (tptp.c_minus V_a V_a T_a))))) :rule cong :premises (t499.t3 t499.t4))
% 0.86/1.14  (step t499 (cl (= (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a V_a T_a) tptp.c_0))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= tptp.c_0 (tptp.c_minus V_a V_a T_a)))))) :rule bind)
% 0.86/1.14  (step t500 (cl (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= tptp.c_0 (tptp.c_minus V_a V_a T_a))))) :rule resolution :premises (t498 t499 a13))
% 0.86/1.14  (step t501 (cl (or (not (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b)))) :rule resolution :premises (t497 t500))
% 0.86/1.14  (step t502 (cl (= tptp.c_0 (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b))) :rule resolution :premises (t490 t275 t501))
% 0.86/1.14  (step t503 (cl (not (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule resolution :premises (t262 t39 t284 t302 t320 t331 t356 t367 t378 t389 t406 t422 t438 t449 t466 t477 t488 t502))
% 0.86/1.14  (step t504 (cl (not (= (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (= (tptp.c_HOL_Oabs V_a T_a) (tptp.c_uminus V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (= (tptp.c_HOL_Oabs V_a T_a) (tptp.c_uminus V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))))) (not (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (= (tptp.c_HOL_Oabs V_a T_a) (tptp.c_uminus V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (= (tptp.c_HOL_Oabs V_a T_a) (tptp.c_uminus V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule equiv_pos2)
% 0.86/1.14  (step t505 (cl (= (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (= (tptp.c_HOL_Oabs V_a T_a) (tptp.c_uminus V_a T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (= (tptp.c_HOL_Oabs V_a T_a) (tptp.c_uminus V_a T_a)))))) :rule refl)
% 0.86/1.14  (step t506 (cl (= (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)))) :rule refl)
% 0.86/1.14  (step t507 (cl (= (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule all_simplify)
% 0.86/1.14  (step t508 (cl (= (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule cong :premises (t307 t506 t507))
% 0.86/1.14  (step t509 (cl (= (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (= (tptp.c_HOL_Oabs V_a T_a) (tptp.c_uminus V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (= (tptp.c_HOL_Oabs V_a T_a) (tptp.c_uminus V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))))) :rule cong :premises (t505 t508))
% 0.86/1.14  (step t510 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (= (tptp.c_HOL_Oabs V_a T_a) (tptp.c_uminus V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (= (tptp.c_HOL_Oabs V_a T_a) (tptp.c_uminus V_a T_a))))) :rule implies_neg1)
% 0.86/1.14  (anchor :step t511)
% 0.86/1.14  (assume t511.a0 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (= (tptp.c_HOL_Oabs V_a T_a) (tptp.c_uminus V_a T_a)))))
% 0.86/1.14  (step t511.t1 (cl (or (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (= (tptp.c_HOL_Oabs V_a T_a) (tptp.c_uminus V_a T_a))))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_a (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))))
% 0.86/1.14  (step t511.t2 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (= (tptp.c_HOL_Oabs V_a T_a) (tptp.c_uminus V_a T_a))))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule or :premises (t511.t1))
% 0.86/1.14  (step t511.t3 (cl (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule resolution :premises (t511.t2 t511.a0))
% 0.86/1.14  (step t511 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (= (tptp.c_HOL_Oabs V_a T_a) (tptp.c_uminus V_a T_a))))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule subproof :discharge (t511.a0))
% 0.86/1.14  (step t512 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (= (tptp.c_HOL_Oabs V_a T_a) (tptp.c_uminus V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule resolution :premises (t510 t511))
% 0.86/1.14  (step t513 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (= (tptp.c_HOL_Oabs V_a T_a) (tptp.c_uminus V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) (not (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule implies_neg2)
% 0.86/1.14  (step t514 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (= (tptp.c_HOL_Oabs V_a T_a) (tptp.c_uminus V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (= (tptp.c_HOL_Oabs V_a T_a) (tptp.c_uminus V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule resolution :premises (t512 t513))
% 0.86/1.14  (step t515 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (= (tptp.c_HOL_Oabs V_a T_a) (tptp.c_uminus V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule contraction :premises (t514))
% 0.86/1.14  (step t516 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (= (tptp.c_HOL_Oabs V_a T_a) (tptp.c_uminus V_a T_a)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b))))) :rule resolution :premises (t504 t509 t515))
% 0.86/1.14  (step t517 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (= (tptp.c_HOL_Oabs V_a T_a) (tptp.c_uminus V_a T_a))))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule implies :premises (t516))
% 0.86/1.14  (step t518 (cl (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)) (= (tptp.c_uminus (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.t_b)))) :rule resolution :premises (t517 a5))
% 0.86/1.14  (step t519 (cl (not (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b))) :rule resolution :premises (t142 t58 t503 t518))
% 0.86/1.14  (step t520 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a)))) :rule implies_neg1)
% 0.86/1.14  (anchor :step t521)
% 0.86/1.14  (assume t521.a0 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a))))
% 0.86/1.14  (step t521.t1 (cl (or (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a)))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_a (tptp.v_g tptp.v_x)) (:= V_b (tptp.v_f tptp.v_x))))
% 0.86/1.14  (step t521.t2 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a)))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b))) :rule or :premises (t521.t1))
% 0.86/1.14  (step t521.t3 (cl (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b))) :rule resolution :premises (t521.t2 t521.a0))
% 0.86/1.14  (step t521 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a)))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b))) :rule subproof :discharge (t521.a0))
% 0.86/1.14  (step t522 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b))) :rule resolution :premises (t520 t521))
% 0.86/1.14  (step t523 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b))) (not (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)))) :rule implies_neg2)
% 0.86/1.14  (step t524 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)))) :rule resolution :premises (t522 t523))
% 0.86/1.14  (step t525 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b)))) :rule contraction :premises (t524))
% 0.86/1.14  (step t526 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a)))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b))) :rule implies :premises (t525))
% 0.86/1.14  (step t527 (cl (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.c_minus (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) tptp.c_0 tptp.t_b))) :rule resolution :premises (t526 a11))
% 0.86/1.14  (step t528 (cl (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule resolution :premises (t140 t67 t519 t527))
% 0.86/1.14  (step t529 (cl (not (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.v_k tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule resolution :premises (t9 t31 t39 t138 t528))
% 0.86/1.14  (step t530 (cl) :rule resolution :premises (t7 t529 a17))
% 0.86/1.14  
% 0.86/1.14  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.q9oat5A5vl/cvc5---1.0.5_26191.smt2
% 0.86/1.14  % cvc5---1.0.5 exiting
% 0.86/1.14  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------