%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ANA027-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n021.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 16:32:28 EDT 2024

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : ANA027-2 : TPTP v8.2.0. Released v3.2.0.
% 0.04/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue May 28 04:46:09 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.MEIOsEQqx3/cvc5---1.0.5_6930.smt2
% 0.20/0.53  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.MEIOsEQqx3/cvc5---1.0.5_6930.smt2
% 0.35/0.56  (assume a0 (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))
% 0.35/0.56  (assume a1 (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b))
% 0.35/0.56  (assume a2 (not (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))
% 0.35/0.56  (assume a3 (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b))
% 0.35/0.56  (assume a4 (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))))
% 0.35/0.56  (assume a5 (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_minus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a))))
% 0.35/0.56  (assume a6 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a)) (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a))))
% 0.35/0.56  (assume a7 (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))))
% 0.35/0.56  (assume a8 (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T))))
% 0.35/0.56  (assume a9 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))))
% 0.35/0.56  (assume a10 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 0.35/0.56  (assume a11 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 0.35/0.56  (assume a12 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T))))
% 0.35/0.56  (step t1 (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)
% 0.35/0.56  (step t2 (cl (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 reordering :premises (t1))
% 0.35/0.56  (step t3 (cl (not (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) 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.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) :rule or_pos)
% 0.35/0.56  (step t4 (cl (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) 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.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule reordering :premises (t3))
% 0.35/0.56  (step t5 (cl (not (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) :rule or_pos)
% 0.35/0.56  (step t6 (cl (not (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (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.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule reordering :premises (t5))
% 0.35/0.56  (step t7 (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)
% 0.35/0.56  (step t8 (cl (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b) (not (tptp.class_OrderedGroup_Olordered__ab__group__abs 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 (t7))
% 0.35/0.56  (step t9 (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)
% 0.35/0.56  (step t10 (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 (t9))
% 0.35/0.56  (step t11 (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 $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T)))) :rule implies_neg1)
% 0.35/0.56  (anchor :step t12)
% 0.35/0.56  (assume t12.a0 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T))))
% 0.35/0.56  (step t12.t1 (cl (or (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)))) :rule forall_inst :args ((:= T tptp.t_b)))
% 0.35/0.56  (step t12.t2 (cl (not (forall ((T $$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 (t12.t1))
% 0.35/0.56  (step t12.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 (t12.t2 t12.a0))
% 0.35/0.56  (step t12 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b))) :rule subproof :discharge (t12.a0))
% 0.35/0.56  (step t13 (cl (=> (forall ((T $$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 (t11 t12))
% 0.35/0.56  (step t14 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b))) (not (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)))) :rule implies_neg2)
% 0.35/0.56  (step t15 (cl (=> (forall ((T $$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 $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)))) :rule resolution :premises (t13 t14))
% 0.35/0.56  (step t16 (cl (=> (forall ((T $$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 (t15))
% 0.35/0.56  (step t17 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b))) :rule implies :premises (t16))
% 0.35/0.56  (step t18 (cl (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b))) :rule resolution :premises (t17 a12))
% 0.35/0.56  (step t19 (cl (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) :rule resolution :premises (t10 a3 t18))
% 0.35/0.56  (step t20 (cl (=> (forall ((T $$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 $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T)))) :rule implies_neg1)
% 0.35/0.56  (anchor :step t21)
% 0.35/0.56  (assume t21.a0 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))))
% 0.35/0.56  (step t21.t1 (cl (or (not (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)))) :rule forall_inst :args ((:= T tptp.t_b)))
% 0.35/0.56  (step t21.t2 (cl (not (forall ((T $$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 (t21.t1))
% 0.35/0.56  (step t21.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 (t21.t2 t21.a0))
% 0.35/0.56  (step t21 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b))) :rule subproof :discharge (t21.a0))
% 0.35/0.56  (step t22 (cl (=> (forall ((T $$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 (t20 t21))
% 0.35/0.56  (step t23 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b))) (not (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)))) :rule implies_neg2)
% 0.35/0.56  (step t24 (cl (=> (forall ((T $$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 $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)))) :rule resolution :premises (t22 t23))
% 0.35/0.56  (step t25 (cl (=> (forall ((T $$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 (t24))
% 0.35/0.56  (step t26 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b))) :rule implies :premises (t25))
% 0.35/0.56  (step t27 (cl (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b))) :rule resolution :premises (t26 a9))
% 0.35/0.56  (step t28 (cl (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) :rule resolution :premises (t8 t19 t27))
% 0.35/0.56  (step t29 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a)))) :rule implies_neg1)
% 0.35/0.56  (anchor :step t30)
% 0.35/0.56  (assume t30.a0 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a))))
% 0.35/0.56  (step t30.t1 (cl (or (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_a tptp.c_0) (:= V_c (tptp.v_f tptp.v_x)) (:= V_b (tptp.v_k tptp.v_x))))
% 0.35/0.56  (step t30.t2 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) :rule or :premises (t30.t1))
% 0.35/0.56  (step t30.t3 (cl (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) :rule resolution :premises (t30.t2 t30.a0))
% 0.35/0.56  (step t30 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a)))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) :rule subproof :discharge (t30.a0))
% 0.35/0.56  (step t31 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) :rule resolution :premises (t29 t30))
% 0.35/0.56  (step t32 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) (not (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule implies_neg2)
% 0.35/0.56  (step t33 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule resolution :premises (t31 t32))
% 0.35/0.56  (step t34 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule contraction :premises (t33))
% 0.35/0.56  (step t35 (cl (not (forall ((T_a $$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_minus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_plus 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.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) :rule implies :premises (t34))
% 0.35/0.56  (step t36 (cl (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) :rule resolution :premises (t35 a5))
% 0.35/0.56  (step t37 (cl (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) :rule resolution :premises (t6 a0 t28 t36))
% 0.35/0.56  (step t38 (cl (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g 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)) (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_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) :rule and_neg)
% 0.35/0.56  (step t39 (cl (=> (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) :rule implies_neg1)
% 0.35/0.56  (anchor :step t40)
% 0.35/0.56  (assume t40.a0 (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b))
% 0.35/0.56  (assume t40.a1 (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))
% 0.35/0.56  (assume t40.a2 (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))
% 0.35/0.56  (step t40.t1 (cl (=> (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) :rule implies_neg1)
% 0.35/0.56  (anchor :step t40.t2)
% 0.35/0.56  (assume t40.t2.a0 (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b))
% 0.35/0.56  (assume t40.t2.a1 (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))
% 0.35/0.56  (assume t40.t2.a2 (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))
% 0.35/0.56  (step t40.t2.t1 (cl (= (= (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) true) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) :rule equiv_simplify)
% 0.35/0.56  (step t40.t2.t2 (cl (not (= (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) true)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) :rule equiv1 :premises (t40.t2.t1))
% 0.35/0.56  (step t40.t2.t3 (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 (t40.t2.a2))
% 0.35/0.56  (step t40.t2.t4 (cl (= tptp.t_b tptp.t_b)) :rule refl)
% 0.35/0.56  (step t40.t2.t5 (cl (= (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_k tptp.v_x) tptp.t_b))) :rule cong :premises (t40.t2.a1 t40.t2.t3 t40.t2.t4))
% 0.35/0.56  (step t40.t2.t6 (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 (t40.t2.a1))
% 0.35/0.56  (step t40.t2.t7 (cl (= (tptp.v_k tptp.v_x) (tptp.v_k tptp.v_x))) :rule refl)
% 0.35/0.56  (step t40.t2.t8 (cl (= (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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 cong :premises (t40.t2.t6 t40.t2.t7 t40.t2.t4))
% 0.35/0.56  (step t40.t2.t9 (cl (= (= (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) true) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b))) :rule equiv_simplify)
% 0.35/0.56  (step t40.t2.t10 (cl (= (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) true) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b))) :rule equiv2 :premises (t40.t2.t9))
% 0.35/0.56  (step t40.t2.t11 (cl (= (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k tptp.v_x) tptp.t_b) true)) :rule resolution :premises (t40.t2.t10 t40.t2.a0))
% 0.35/0.56  (step t40.t2.t12 (cl (= (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) true)) :rule trans :premises (t40.t2.t5 t40.t2.t8 t40.t2.t11))
% 0.35/0.56  (step t40.t2.t13 (cl (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) :rule resolution :premises (t40.t2.t2 t40.t2.t12))
% 0.35/0.56  (step t40.t2 (cl (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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))) (not (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) :rule subproof :discharge (t40.t2.a0 t40.t2.a1 t40.t2.a2))
% 0.35/0.56  (step t40.t3 (cl (not (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (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 and_pos)
% 0.35/0.56  (step t40.t4 (cl (not (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k 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)
% 0.35/0.56  (step t40.t5 (cl (not (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k 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)
% 0.35/0.56  (step t40.t6 (cl (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) (not (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))))) :rule resolution :premises (t40.t2 t40.t3 t40.t4 t40.t5))
% 0.35/0.56  (step t40.t7 (cl (not (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) :rule reordering :premises (t40.t6))
% 0.35/0.56  (step t40.t8 (cl (not (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) :rule contraction :premises (t40.t7))
% 0.35/0.56  (step t40.t9 (cl (=> (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) :rule resolution :premises (t40.t1 t40.t8))
% 0.35/0.56  (step t40.t10 (cl (=> (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) :rule implies_neg2)
% 0.35/0.56  (step t40.t11 (cl (=> (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (=> (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) :rule resolution :premises (t40.t9 t40.t10))
% 0.35/0.56  (step t40.t12 (cl (=> (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) :rule contraction :premises (t40.t11))
% 0.35/0.56  (step t40.t13 (cl (not (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) :rule implies :premises (t40.t12))
% 0.35/0.56  (step t40.t14 (cl (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k 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)) (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)))) :rule and_neg)
% 0.35/0.56  (step t40.t15 (cl (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) :rule resolution :premises (t40.t14 t40.a0 t40.a2 t40.a1))
% 0.35/0.56  (step t40.t16 (cl (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) :rule resolution :premises (t40.t13 t40.t15))
% 0.35/0.56  (step t40 (cl (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (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))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) :rule subproof :discharge (t40.a0 t40.a1 t40.a2))
% 0.35/0.56  (step t41 (cl (not (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g 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 and_pos)
% 0.35/0.56  (step t42 (cl (not (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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_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))) :rule and_pos)
% 0.35/0.56  (step t43 (cl (not (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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_g tptp.v_x) (tptp.c_plus tptp.c_0 (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)
% 0.35/0.56  (step t44 (cl (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b) (not (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))))) :rule resolution :premises (t40 t41 t42 t43))
% 0.35/0.56  (step t45 (cl (not (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) (not (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) :rule reordering :premises (t44))
% 0.35/0.56  (step t46 (cl (not (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) :rule contraction :premises (t45))
% 0.35/0.56  (step t47 (cl (=> (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) :rule resolution :premises (t39 t46))
% 0.35/0.56  (step t48 (cl (=> (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) :rule implies_neg2)
% 0.35/0.56  (step t49 (cl (=> (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (=> (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) :rule resolution :premises (t47 t48))
% 0.35/0.56  (step t50 (cl (=> (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b))) :rule contraction :premises (t49))
% 0.35/0.56  (step t51 (cl (not (and (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_k 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_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) :rule implies :premises (t50))
% 0.35/0.56  (step t52 (cl (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (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))) (not (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) :rule resolution :premises (t38 t51))
% 0.35/0.56  (step t53 (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)
% 0.35/0.56  (step t54 (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 (t53))
% 0.35/0.56  (step t55 (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)
% 0.35/0.56  (step t56 (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 (t55))
% 0.35/0.56  (step t57 (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 $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T)))) :rule implies_neg1)
% 0.35/0.56  (anchor :step t58)
% 0.35/0.56  (assume t58.a0 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 0.35/0.56  (step t58.t1 (cl (or (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)))) :rule forall_inst :args ((:= T tptp.t_b)))
% 0.35/0.56  (step t58.t2 (cl (not (forall ((T $$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 (t58.t1))
% 0.35/0.56  (step t58.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 (t58.t2 t58.a0))
% 0.35/0.56  (step t58 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b))) :rule subproof :discharge (t58.a0))
% 0.35/0.56  (step t59 (cl (=> (forall ((T $$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 (t57 t58))
% 0.35/0.56  (step t60 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b))) (not (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)))) :rule implies_neg2)
% 0.35/0.56  (step t61 (cl (=> (forall ((T $$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 $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)))) :rule resolution :premises (t59 t60))
% 0.35/0.56  (step t62 (cl (=> (forall ((T $$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 (t61))
% 0.35/0.56  (step t63 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T)))) (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b))) :rule implies :premises (t62))
% 0.35/0.56  (step t64 (cl (or (not (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b))) :rule resolution :premises (t63 a11))
% 0.35/0.56  (step t65 (cl (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) :rule resolution :premises (t56 a3 t64))
% 0.35/0.56  (step t66 (cl (=> (forall ((T_a $$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 $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) :rule implies_neg1)
% 0.35/0.56  (anchor :step t67)
% 0.35/0.56  (assume t67.a0 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))))
% 0.35/0.56  (step t67.t1 (cl (or (not (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_y (tptp.v_k tptp.v_x))))
% 0.35/0.56  (step t67.t2 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) :rule or :premises (t67.t1))
% 0.35/0.56  (step t67.t3 (cl (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) :rule resolution :premises (t67.t2 t67.a0))
% 0.35/0.56  (step t67 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) :rule subproof :discharge (t67.a0))
% 0.35/0.56  (step t68 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) :rule resolution :premises (t66 t67))
% 0.35/0.56  (step t69 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) (not (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))))) :rule implies_neg2)
% 0.35/0.56  (step t70 (cl (=> (forall ((T_a $$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 $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))))) :rule resolution :premises (t68 t69))
% 0.35/0.56  (step t71 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))))) :rule contraction :premises (t70))
% 0.35/0.56  (step t72 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) :rule implies :premises (t71))
% 0.35/0.56  (step t73 (cl (not (= (forall ((T_a $$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 $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) :rule equiv_pos2)
% 0.35/0.56  (anchor :step t74 :args ((T_a $$unsorted) (:= T_a T_a) (V_y $$unsorted) (:= V_y V_y)))
% 0.35/0.56  (step t74.t1 (cl (= T_a T_a)) :rule refl)
% 0.35/0.56  (step t74.t2 (cl (= V_y V_y)) :rule refl)
% 0.35/0.56  (step t74.t3 (cl (= (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)))) :rule refl)
% 0.35/0.56  (step t74.t4 (cl (= (= (tptp.c_plus tptp.c_0 V_y T_a) V_y) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) :rule all_simplify)
% 0.35/0.56  (step t74.t5 (cl (= (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_plus tptp.c_0 V_y T_a) V_y)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) :rule cong :premises (t74.t3 t74.t4))
% 0.35/0.56  (step t74 (cl (= (forall ((T_a $$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 $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))))) :rule bind)
% 0.35/0.56  (step t75 (cl (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) :rule resolution :premises (t73 t74 a4))
% 0.35/0.56  (step t76 (cl (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)))) :rule resolution :premises (t72 t75))
% 0.35/0.56  (step t77 (cl (= (tptp.v_k tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b))) :rule resolution :premises (t54 t65 t76))
% 0.35/0.56  (step t78 (cl (not (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) :rule or_pos)
% 0.35/0.56  (step t79 (cl (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)) (not (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))))) :rule reordering :premises (t78))
% 0.35/0.56  (step t80 (cl (=> (forall ((T_a $$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 $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) :rule implies_neg1)
% 0.35/0.56  (anchor :step t81)
% 0.35/0.56  (assume t81.a0 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))))
% 0.35/0.56  (step t81.t1 (cl (or (not (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_y (tptp.v_g tptp.v_x))))
% 0.35/0.56  (step t81.t2 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) :rule or :premises (t81.t1))
% 0.35/0.56  (step t81.t3 (cl (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) :rule resolution :premises (t81.t2 t81.a0))
% 0.35/0.56  (step t81 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a))))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) :rule subproof :discharge (t81.a0))
% 0.35/0.56  (step t82 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) :rule resolution :premises (t80 t81))
% 0.35/0.56  (step t83 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))) (not (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))))) :rule implies_neg2)
% 0.35/0.56  (step t84 (cl (=> (forall ((T_a $$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 $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))))) :rule resolution :premises (t82 t83))
% 0.35/0.56  (step t85 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))))) :rule contraction :premises (t84))
% 0.35/0.56  (step t86 (cl (not (forall ((T_a $$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 (t85))
% 0.35/0.56  (step t87 (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 (t86 t75))
% 0.35/0.56  (step t88 (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 (t79 t65 t87))
% 0.35/0.56  (step t89 (cl (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) :rule resolution :premises (t52 a1 t77 t88))
% 0.35/0.56  (step t90 (cl (not (= (or (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f 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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (or (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f 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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))))) (not (or (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f 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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) (or (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f 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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule equiv_pos2)
% 0.35/0.56  (step t91 (cl (= (= (= (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) true) (= (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule equiv_simplify)
% 0.35/0.56  (step t92 (cl (not (= (= (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) true)) (= (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) :rule equiv1 :premises (t91))
% 0.35/0.56  (step t93 (cl (= (= (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (= (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b) (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)))))) :rule all_simplify)
% 0.35/0.56  (step t94 (cl (= (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) :rule refl)
% 0.35/0.56  (step t95 (cl (= (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) :rule all_simplify)
% 0.35/0.56  (step t96 (cl (= (= (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b) (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)))) (= (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule cong :premises (t94 t95))
% 0.35/0.56  (step t97 (cl (= (= (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) true)) :rule all_simplify)
% 0.35/0.56  (step t98 (cl (= (= (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b) (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)))) true)) :rule trans :premises (t96 t97))
% 0.35/0.56  (step t99 (cl (= (= (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) true)) :rule trans :premises (t93 t98))
% 0.35/0.56  (step t100 (cl (= (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) :rule resolution :premises (t92 t99))
% 0.35/0.56  (step t101 (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)
% 0.35/0.56  (step t102 (cl (= (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule refl)
% 0.35/0.56  (step t103 (cl (= (or (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f 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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (or (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f 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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))))) :rule cong :premises (t100 t101 t102))
% 0.35/0.56  (step t104 (cl (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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))) (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f 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 and_neg)
% 0.35/0.56  (step t105 (cl (=> (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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 implies_neg1)
% 0.35/0.56  (anchor :step t106)
% 0.35/0.56  (assume t106.a0 (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)))
% 0.35/0.56  (assume t106.a1 (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))
% 0.35/0.56  (step t106.t1 (cl (=> (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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 implies_neg1)
% 0.35/0.56  (anchor :step t106.t2)
% 0.35/0.56  (assume t106.t2.a0 (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)))
% 0.35/0.56  (assume t106.t2.a1 (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b)))
% 0.35/0.56  (step t106.t2.t1 (cl (= (= (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) false) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule equiv_simplify)
% 0.35/0.56  (step t106.t2.t2 (cl (not (= (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) false)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule equiv1 :premises (t106.t2.t1))
% 0.35/0.56  (step t106.t2.t3 (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 (t106.t2.a1))
% 0.35/0.56  (step t106.t2.t4 (cl (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) :rule symm :premises (t106.t2.t3))
% 0.35/0.56  (step t106.t2.t5 (cl (= (tptp.v_f tptp.v_x) (tptp.v_f tptp.v_x))) :rule refl)
% 0.35/0.56  (step t106.t2.t6 (cl (= tptp.t_b tptp.t_b)) :rule refl)
% 0.35/0.56  (step t106.t2.t7 (cl (= (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) :rule cong :premises (t106.t2.t4 t106.t2.t5 t106.t2.t6))
% 0.35/0.56  (step t106.t2.t8 (cl (= (= (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b) false) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule equiv_simplify)
% 0.35/0.56  (step t106.t2.t9 (cl (= (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b) false) (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule equiv2 :premises (t106.t2.t8))
% 0.35/0.56  (step t106.t2.t10 (cl (not (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)))) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) :rule not_not)
% 0.35/0.56  (step t106.t2.t11 (cl (= (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b) false) (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) :rule resolution :premises (t106.t2.t9 t106.t2.t10))
% 0.35/0.56  (step t106.t2.t12 (cl (= (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b) false)) :rule resolution :premises (t106.t2.t11 t106.t2.a0))
% 0.35/0.56  (step t106.t2.t13 (cl (= (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b) false)) :rule trans :premises (t106.t2.t7 t106.t2.t12))
% 0.35/0.56  (step t106.t2.t14 (cl (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule resolution :premises (t106.t2.t2 t106.t2.t13))
% 0.35/0.56  (step t106.t2 (cl (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f 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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule subproof :discharge (t106.t2.a0 t106.t2.a1))
% 0.35/0.56  (step t106.t3 (cl (not (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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)))) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) :rule and_pos)
% 0.35/0.56  (step t106.t4 (cl (not (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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)))) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) :rule and_pos)
% 0.35/0.56  (step t106.t5 (cl (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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)))) (not (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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 resolution :premises (t106.t2 t106.t3 t106.t4))
% 0.35/0.56  (step t106.t6 (cl (not (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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)))) (not (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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)))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule reordering :premises (t106.t5))
% 0.35/0.56  (step t106.t7 (cl (not (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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)))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule contraction :premises (t106.t6))
% 0.35/0.56  (step t106.t8 (cl (=> (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule resolution :premises (t106.t1 t106.t7))
% 0.35/0.56  (step t106.t9 (cl (=> (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule implies_neg2)
% 0.35/0.56  (step t106.t10 (cl (=> (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (=> (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule resolution :premises (t106.t8 t106.t9))
% 0.35/0.56  (step t106.t11 (cl (=> (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule contraction :premises (t106.t10))
% 0.35/0.56  (step t106.t12 (cl (not (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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)))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule implies :premises (t106.t11))
% 0.35/0.56  (step t106.t13 (cl (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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))) (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f 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 and_neg)
% 0.35/0.56  (step t106.t14 (cl (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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 resolution :premises (t106.t13 t106.a0 t106.a1))
% 0.35/0.56  (step t106.t15 (cl (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule resolution :premises (t106.t12 t106.t14))
% 0.35/0.56  (step t106 (cl (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f 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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule subproof :discharge (t106.a0 t106.a1))
% 0.35/0.56  (step t107 (cl (not (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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)))) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) :rule and_pos)
% 0.35/0.56  (step t108 (cl (not (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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)))) (= (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b))) :rule and_pos)
% 0.35/0.56  (step t109 (cl (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)) (not (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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)))) (not (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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 resolution :premises (t106 t107 t108))
% 0.35/0.56  (step t110 (cl (not (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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)))) (not (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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)))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule reordering :premises (t109))
% 0.35/0.56  (step t111 (cl (not (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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)))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule contraction :premises (t110))
% 0.35/0.56  (step t112 (cl (=> (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule resolution :premises (t105 t111))
% 0.35/0.56  (step t113 (cl (=> (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule implies_neg2)
% 0.35/0.56  (step t114 (cl (=> (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (=> (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule resolution :premises (t112 t113))
% 0.35/0.56  (step t115 (cl (=> (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule contraction :premises (t114))
% 0.35/0.56  (step t116 (cl (not (and (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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)))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule implies :premises (t115))
% 0.35/0.56  (step t117 (cl (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f 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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule resolution :premises (t104 t116))
% 0.35/0.56  (step t118 (cl (or (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f 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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))))) :rule or_neg)
% 0.35/0.56  (step t119 (cl (or (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f 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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f 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)
% 0.35/0.56  (step t120 (cl (or (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f 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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule or_neg)
% 0.35/0.56  (step t121 (cl (or (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f 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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (or (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f 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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (or (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f 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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule resolution :premises (t117 t118 t119 t120))
% 0.35/0.56  (step t122 (cl (or (not (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f 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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule contraction :premises (t121))
% 0.35/0.56  (step t123 (cl (or (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f 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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule resolution :premises (t90 t103 t122))
% 0.35/0.56  (step t124 (cl (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f 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))) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule or :premises (t123))
% 0.35/0.56  (step t125 (cl (not (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)) :rule or_pos)
% 0.35/0.56  (step t126 (cl (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b) (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (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.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) :rule reordering :premises (t125))
% 0.35/0.56  (step t127 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a)) (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a)) (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a)))) :rule implies_neg1)
% 0.35/0.56  (anchor :step t128)
% 0.35/0.56  (assume t128.a0 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a)) (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a))))
% 0.35/0.56  (step t128.t1 (cl (or (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a)) (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a)))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_a tptp.c_0) (:= V_b (tptp.v_g tptp.v_x)) (:= V_c (tptp.v_f tptp.v_x))))
% 0.35/0.56  (step t128.t2 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a)) (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a)))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule or :premises (t128.t1))
% 0.35/0.56  (step t128.t3 (cl (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule resolution :premises (t128.t2 t128.a0))
% 0.35/0.56  (step t128 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a)) (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a)))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule subproof :discharge (t128.a0))
% 0.35/0.56  (step t129 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a)) (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule resolution :premises (t127 t128))
% 0.35/0.56  (step t130 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a)) (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (not (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) :rule implies_neg2)
% 0.35/0.56  (step t131 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a)) (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a)) (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) :rule resolution :premises (t129 t130))
% 0.35/0.56  (step t132 (cl (=> (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a)) (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b)))) :rule contraction :premises (t131))
% 0.35/0.56  (step t133 (cl (not (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a)) (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a)))) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule implies :premises (t132))
% 0.35/0.56  (step t134 (cl (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_minus (tptp.v_f tptp.v_x) (tptp.v_g tptp.v_x) tptp.t_b) tptp.t_b))) :rule resolution :premises (t133 a6))
% 0.35/0.56  (step t135 (cl (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_g tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b))) :rule resolution :premises (t126 a2 t28 t134))
% 0.35/0.56  (step t136 (cl (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule resolution :premises (t124 t135 t88))
% 0.35/0.56  (step t137 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a)))) :rule implies_neg1)
% 0.35/0.56  (anchor :step t138)
% 0.35/0.56  (assume t138.a0 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))))
% 0.35/0.56  (step t138.t1 (cl (or (not (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule forall_inst :args ((:= T_a tptp.t_b) (:= V_y (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b)) (:= V_z (tptp.v_f tptp.v_x)) (:= V_x (tptp.v_g tptp.v_x))))
% 0.35/0.56  (step t138.t2 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule or :premises (t138.t1))
% 0.35/0.56  (step t138.t3 (cl (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule resolution :premises (t138.t2 t138.a0))
% 0.35/0.56  (step t138 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule subproof :discharge (t138.a0))
% 0.35/0.56  (step t139 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule resolution :premises (t137 t138))
% 0.35/0.56  (step t140 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (not (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule implies_neg2)
% 0.35/0.56  (step t141 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule resolution :premises (t139 t140))
% 0.35/0.56  (step t142 (cl (=> (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b)))) :rule contraction :premises (t141))
% 0.35/0.56  (step t143 (cl (not (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a)))) (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule implies :premises (t142))
% 0.35/0.56  (step t144 (cl (or (not (tptp.class_Orderings_Oorder tptp.t_b)) (not (tptp.c_lessequals (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) (tptp.v_f tptp.v_x) tptp.t_b)) (not (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.c_plus tptp.c_0 (tptp.v_k tptp.v_x) tptp.t_b) tptp.t_b)) (tptp.c_lessequals (tptp.v_g tptp.v_x) (tptp.v_f tptp.v_x) tptp.t_b))) :rule resolution :premises (t143 a7))
% 0.35/0.56  (step t145 (cl (not (tptp.class_Orderings_Oorder tptp.t_b))) :rule resolution :premises (t4 t37 t89 t136 t144))
% 0.35/0.56  (step t146 (cl (=> (forall ((T $$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 $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T)))) :rule implies_neg1)
% 0.35/0.56  (anchor :step t147)
% 0.35/0.56  (assume t147.a0 (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T))))
% 0.35/0.56  (step t147.t1 (cl (or (not (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T)))) (or (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (tptp.class_Orderings_Oorder tptp.t_b)))) :rule forall_inst :args ((:= T tptp.t_b)))
% 0.35/0.56  (step t147.t2 (cl (not (forall ((T $$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 (t147.t1))
% 0.35/0.56  (step t147.t3 (cl (or (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (tptp.class_Orderings_Oorder tptp.t_b))) :rule resolution :premises (t147.t2 t147.a0))
% 0.35/0.56  (step t147 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T)))) (or (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (tptp.class_Orderings_Oorder tptp.t_b))) :rule subproof :discharge (t147.a0))
% 0.35/0.56  (step t148 (cl (=> (forall ((T $$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 (t146 t147))
% 0.35/0.56  (step t149 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T))) (or (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (tptp.class_Orderings_Oorder tptp.t_b))) (not (or (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (tptp.class_Orderings_Oorder tptp.t_b)))) :rule implies_neg2)
% 0.35/0.56  (step t150 (cl (=> (forall ((T $$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 $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T))) (or (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (tptp.class_Orderings_Oorder tptp.t_b)))) :rule resolution :premises (t148 t149))
% 0.35/0.56  (step t151 (cl (=> (forall ((T $$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 (t150))
% 0.35/0.56  (step t152 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T)))) (or (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (tptp.class_Orderings_Oorder tptp.t_b))) :rule implies :premises (t151))
% 0.35/0.56  (step t153 (cl (or (not (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) (tptp.class_Orderings_Oorder tptp.t_b))) :rule resolution :premises (t152 a8))
% 0.35/0.56  (step t154 (cl (not (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b))) (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) :rule or_pos)
% 0.35/0.56  (step t155 (cl (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b) (not (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)))) :rule reordering :premises (t154))
% 0.35/0.56  (step t156 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_LOrder_Ojoin__semilorder T))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b))) (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_LOrder_Ojoin__semilorder T)))) :rule implies_neg1)
% 0.35/0.56  (anchor :step t157)
% 0.35/0.56  (assume t157.a0 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 0.35/0.56  (step t157.t1 (cl (or (not (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_LOrder_Ojoin__semilorder T)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)))) :rule forall_inst :args ((:= T tptp.t_b)))
% 0.35/0.56  (step t157.t2 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_LOrder_Ojoin__semilorder T)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b))) :rule or :premises (t157.t1))
% 0.35/0.56  (step t157.t3 (cl (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b))) :rule resolution :premises (t157.t2 t157.a0))
% 0.35/0.56  (step t157 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_LOrder_Ojoin__semilorder T)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b))) :rule subproof :discharge (t157.a0))
% 0.35/0.56  (step t158 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_LOrder_Ojoin__semilorder T))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b))) :rule resolution :premises (t156 t157))
% 0.35/0.56  (step t159 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_LOrder_Ojoin__semilorder T))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b))) (not (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)))) :rule implies_neg2)
% 0.35/0.56  (step t160 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_LOrder_Ojoin__semilorder T))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b))) (=> (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_LOrder_Ojoin__semilorder T))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)))) :rule resolution :premises (t158 t159))
% 0.35/0.56  (step t161 (cl (=> (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_LOrder_Ojoin__semilorder T))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)))) :rule contraction :premises (t160))
% 0.35/0.56  (step t162 (cl (not (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_LOrder_Ojoin__semilorder T)))) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b))) :rule implies :premises (t161))
% 0.35/0.56  (step t163 (cl (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) (tptp.class_LOrder_Ojoin__semilorder tptp.t_b))) :rule resolution :premises (t162 a10))
% 0.35/0.56  (step t164 (cl (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) :rule resolution :premises (t155 t19 t163))
% 0.35/0.56  (step t165 (cl) :rule resolution :premises (t2 t145 t153 t164))
% 0.35/0.56  
% 0.35/0.56  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.MEIOsEQqx3/cvc5---1.0.5_6930.smt2
% 0.38/0.57  % cvc5---1.0.5 exiting
% 0.38/0.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------