%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT263-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n017.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 17:22:17 EDT 2024

% Result   : Unsatisfiable 0.36s 0.55s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : LAT263-2 : TPTP v8.2.0. Released v3.2.0.
% 0.08/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n017.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon May 27 13:47:54 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.21/0.52  %----Proving TF0_NAR, FOF, or CNF
% 0.36/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.36/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.aTzN8pip4Q/cvc5---1.0.5_12108.smt2
% 0.36/0.55  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.aTzN8pip4Q/cvc5---1.0.5_12108.smt2
% 0.36/0.56  (assume a0 (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)))
% 0.36/0.56  (assume a1 (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)))
% 0.36/0.56  (assume a2 (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)))
% 0.36/0.56  (assume a3 (forall ((V_cl $$unsorted) (T_a $$unsorted) (V_S $$unsorted)) (or (not (tptp.c_in V_cl tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in V_cl tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals V_S (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) (tptp.tc_set T_a))) (tptp.c_in (tptp.c_Tarski_Olub V_S V_cl T_a) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) T_a))))
% 0.36/0.56  (assume a4 (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit)))
% 0.36/0.56  (assume a5 (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit)))
% 0.36/0.56  (assume a6 (forall ((V_S $$unsorted) (V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Oglb V_S V_cl T_a) (tptp.c_Tarski_Olub V_S (tptp.c_Tarski_Odual V_cl T_a) T_a))))
% 0.36/0.56  (assume a7 (forall ((V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit))))
% 0.36/0.56  (step t1 (cl (not (or (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a)) :rule or_pos)
% 0.36/0.56  (step t2 (cl (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a) (not (or (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a)))) :rule reordering :premises (t1))
% 0.36/0.56  (step t3 (cl (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a))) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) :rule and_neg)
% 0.36/0.56  (step t4 (cl (=> (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) :rule implies_neg1)
% 0.36/0.56  (anchor :step t5)
% 0.36/0.56  (assume t5.a0 (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)))
% 0.36/0.56  (assume t5.a1 (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)))
% 0.36/0.56  (assume t5.a2 (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))
% 0.36/0.56  (step t5.t1 (cl (=> (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) :rule implies_neg1)
% 0.36/0.56  (anchor :step t5.t2)
% 0.36/0.56  (assume t5.t2.a0 (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)))
% 0.36/0.56  (assume t5.t2.a1 (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)))
% 0.36/0.56  (assume t5.t2.a2 (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))
% 0.36/0.56  (step t5.t2.t1 (cl (= (= (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a)) true) (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a)))) :rule equiv_simplify)
% 0.36/0.56  (step t5.t2.t2 (cl (not (= (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a)) true)) (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) :rule equiv1 :premises (t5.t2.t1))
% 0.36/0.56  (step t5.t2.t3 (cl (= tptp.v_S tptp.v_S)) :rule refl)
% 0.36/0.56  (step t5.t2.t4 (cl (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) :rule symm :premises (t5.t2.a2))
% 0.36/0.56  (step t5.t2.t5 (cl (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) tptp.v_A)) :rule symm :premises (t5.t2.a1))
% 0.36/0.56  (step t5.t2.t6 (cl (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.v_A)) :rule trans :premises (t5.t2.t4 t5.t2.t5))
% 0.36/0.56  (step t5.t2.t7 (cl (= (tptp.tc_set tptp.t_a) (tptp.tc_set tptp.t_a))) :rule refl)
% 0.36/0.56  (step t5.t2.t8 (cl (= (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a)) (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)))) :rule cong :premises (t5.t2.t3 t5.t2.t6 t5.t2.t7))
% 0.36/0.56  (step t5.t2.t9 (cl (= (= (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) true) (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)))) :rule equiv_simplify)
% 0.36/0.56  (step t5.t2.t10 (cl (= (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) true) (not (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)))) :rule equiv2 :premises (t5.t2.t9))
% 0.36/0.56  (step t5.t2.t11 (cl (= (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) true)) :rule resolution :premises (t5.t2.t10 t5.t2.a0))
% 0.36/0.56  (step t5.t2.t12 (cl (= (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a)) true)) :rule trans :premises (t5.t2.t8 t5.t2.t11))
% 0.36/0.56  (step t5.t2.t13 (cl (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) :rule resolution :premises (t5.t2.t2 t5.t2.t12))
% 0.36/0.56  (step t5.t2 (cl (not (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a))) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) :rule subproof :discharge (t5.t2.a0 t5.t2.a1 t5.t2.a2))
% 0.36/0.56  (step t5.t3 (cl (not (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a))) :rule and_pos)
% 0.36/0.56  (step t5.t4 (cl (not (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) :rule and_pos)
% 0.36/0.56  (step t5.t5 (cl (not (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) :rule and_pos)
% 0.36/0.56  (step t5.t6 (cl (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a)) (not (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))))) :rule resolution :premises (t5.t2 t5.t3 t5.t4 t5.t5))
% 0.36/0.56  (step t5.t7 (cl (not (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) :rule reordering :premises (t5.t6))
% 0.36/0.56  (step t5.t8 (cl (not (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) :rule contraction :premises (t5.t7))
% 0.36/0.56  (step t5.t9 (cl (=> (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) :rule resolution :premises (t5.t1 t5.t8))
% 0.36/0.56  (step t5.t10 (cl (=> (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (not (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a)))) :rule implies_neg2)
% 0.36/0.56  (step t5.t11 (cl (=> (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (=> (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a)))) :rule resolution :premises (t5.t9 t5.t10))
% 0.36/0.56  (step t5.t12 (cl (=> (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a)))) :rule contraction :premises (t5.t11))
% 0.36/0.56  (step t5.t13 (cl (not (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) :rule implies :premises (t5.t12))
% 0.36/0.56  (step t5.t14 (cl (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a))) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) :rule and_neg)
% 0.36/0.56  (step t5.t15 (cl (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) :rule resolution :premises (t5.t14 t5.a0 t5.a1 t5.a2))
% 0.36/0.56  (step t5.t16 (cl (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) :rule resolution :premises (t5.t13 t5.t15))
% 0.36/0.56  (step t5 (cl (not (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a))) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) :rule subproof :discharge (t5.a0 t5.a1 t5.a2))
% 0.36/0.56  (step t6 (cl (not (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a))) :rule and_pos)
% 0.36/0.56  (step t7 (cl (not (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) :rule and_pos)
% 0.36/0.56  (step t8 (cl (not (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) :rule and_pos)
% 0.36/0.56  (step t9 (cl (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a)) (not (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))))) :rule resolution :premises (t5 t6 t7 t8))
% 0.36/0.56  (step t10 (cl (not (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) :rule reordering :premises (t9))
% 0.36/0.56  (step t11 (cl (not (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) :rule contraction :premises (t10))
% 0.36/0.56  (step t12 (cl (=> (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) :rule resolution :premises (t4 t11))
% 0.36/0.56  (step t13 (cl (=> (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (not (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a)))) :rule implies_neg2)
% 0.36/0.56  (step t14 (cl (=> (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (=> (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a)))) :rule resolution :premises (t12 t13))
% 0.36/0.56  (step t15 (cl (=> (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a)))) :rule contraction :premises (t14))
% 0.36/0.56  (step t16 (cl (not (and (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) :rule implies :premises (t15))
% 0.36/0.56  (step t17 (cl (not (tptp.c_lessequals tptp.v_S tptp.v_A (tptp.tc_set tptp.t_a))) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) :rule resolution :premises (t3 t16))
% 0.36/0.56  (step t18 (cl (not (= (=> (forall ((V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit))) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (=> (forall ((V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit))) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))))) (not (=> (forall ((V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit))) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)))) (=> (forall ((V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit))) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) :rule equiv_pos2)
% 0.36/0.56  (step t19 (cl (= (forall ((V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit))) (forall ((V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit))))) :rule refl)
% 0.36/0.56  (step t20 (cl (= (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) :rule all_simplify)
% 0.36/0.56  (step t21 (cl (= (=> (forall ((V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit))) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (=> (forall ((V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit))) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))))) :rule cong :premises (t19 t20))
% 0.36/0.56  (step t22 (cl (=> (forall ((V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit))) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (forall ((V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit)))) :rule implies_neg1)
% 0.36/0.56  (anchor :step t23)
% 0.36/0.56  (assume t23.a0 (forall ((V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit))))
% 0.36/0.56  (step t23.t1 (cl (or (not (forall ((V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit)))) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)))) :rule forall_inst :args ((:= V_cl tptp.v_cl) (:= T_a tptp.t_a)))
% 0.36/0.56  (step t23.t2 (cl (not (forall ((V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit)))) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) :rule or :premises (t23.t1))
% 0.36/0.56  (step t23.t3 (cl (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) :rule resolution :premises (t23.t2 t23.a0))
% 0.36/0.56  (step t23 (cl (not (forall ((V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit)))) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) :rule subproof :discharge (t23.a0))
% 0.36/0.56  (step t24 (cl (=> (forall ((V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit))) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) :rule resolution :premises (t22 t23))
% 0.36/0.56  (step t25 (cl (=> (forall ((V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit))) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)))) :rule implies_neg2)
% 0.36/0.56  (step t26 (cl (=> (forall ((V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit))) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (=> (forall ((V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit))) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)))) :rule resolution :premises (t24 t25))
% 0.36/0.56  (step t27 (cl (=> (forall ((V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit))) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)))) :rule contraction :premises (t26))
% 0.36/0.56  (step t28 (cl (=> (forall ((V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit))) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) :rule resolution :premises (t18 t21 t27))
% 0.36/0.56  (step t29 (cl (not (forall ((V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual V_cl T_a) T_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit)))) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) :rule implies :premises (t28))
% 0.36/0.56  (step t30 (cl (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) :rule resolution :premises (t29 a7))
% 0.36/0.56  (step t31 (cl (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) :rule resolution :premises (t17 a0 a2 t30))
% 0.36/0.56  (step t32 (cl (not (= (or (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) (or (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))))) (not (or (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a)))) (or (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a)))) :rule equiv_pos2)
% 0.36/0.56  (step t33 (cl (= (= (= (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) true) (= (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)))) :rule equiv_simplify)
% 0.36/0.56  (step t34 (cl (not (= (= (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) true)) (= (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) :rule equiv1 :premises (t33))
% 0.36/0.56  (step t35 (cl (= (= (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a) (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)))))) :rule all_simplify)
% 0.36/0.56  (step t36 (cl (= (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a) (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) :rule refl)
% 0.36/0.56  (step t37 (cl (= (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) :rule all_simplify)
% 0.36/0.56  (step t38 (cl (= (= (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a) (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)))) (= (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a) (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)))) :rule cong :premises (t36 t37))
% 0.36/0.56  (step t39 (cl (= (= (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a) (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) true)) :rule all_simplify)
% 0.36/0.56  (step t40 (cl (= (= (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a) (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)))) true)) :rule trans :premises (t38 t39))
% 0.36/0.56  (step t41 (cl (= (= (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) true)) :rule trans :premises (t35 t40))
% 0.36/0.56  (step t42 (cl (= (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) :rule resolution :premises (t34 t41))
% 0.36/0.56  (step t43 (cl (= (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))))) :rule refl)
% 0.36/0.56  (step t44 (cl (= (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))))) :rule refl)
% 0.36/0.56  (step t45 (cl (= (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))))) :rule refl)
% 0.36/0.56  (step t46 (cl (= (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a)) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a)))) :rule refl)
% 0.36/0.56  (step t47 (cl (= (or (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) (or (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))))) :rule cong :premises (t42 t43 t44 t45 t46))
% 0.36/0.56  (step t48 (cl (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) :rule and_neg)
% 0.36/0.56  (step t49 (cl (=> (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) :rule implies_neg1)
% 0.36/0.56  (anchor :step t50)
% 0.36/0.56  (assume t50.a0 (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)))
% 0.36/0.56  (assume t50.a1 (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)))
% 0.36/0.56  (assume t50.a2 (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)))
% 0.36/0.56  (assume t50.a3 (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))
% 0.36/0.56  (step t50.t1 (cl (=> (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) :rule implies_neg1)
% 0.36/0.56  (anchor :step t50.t2)
% 0.36/0.56  (assume t50.t2.a0 (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)))
% 0.36/0.56  (assume t50.t2.a1 (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)))
% 0.36/0.56  (assume t50.t2.a2 (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)))
% 0.36/0.56  (assume t50.t2.a3 (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))
% 0.36/0.56  (step t50.t2.t1 (cl (= (= (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a) false) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a)))) :rule equiv_simplify)
% 0.36/0.56  (step t50.t2.t2 (cl (not (= (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a) false)) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) :rule equiv1 :premises (t50.t2.t1))
% 0.36/0.56  (step t50.t2.t3 (cl (= (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a))) :rule symm :premises (t50.t2.a1))
% 0.36/0.56  (step t50.t2.t4 (cl (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) :rule symm :premises (t50.t2.a3))
% 0.36/0.56  (step t50.t2.t5 (cl (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) tptp.v_A)) :rule symm :premises (t50.t2.a2))
% 0.36/0.56  (step t50.t2.t6 (cl (= (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.v_A)) :rule trans :premises (t50.t2.t4 t50.t2.t5))
% 0.36/0.56  (step t50.t2.t7 (cl (= tptp.t_a tptp.t_a)) :rule refl)
% 0.36/0.56  (step t50.t2.t8 (cl (= (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a) (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) :rule cong :premises (t50.t2.t3 t50.t2.t6 t50.t2.t7))
% 0.36/0.56  (step t50.t2.t9 (cl (= (= (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a) false) (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)))) :rule equiv_simplify)
% 0.36/0.56  (step t50.t2.t10 (cl (= (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a) false) (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)))) :rule equiv2 :premises (t50.t2.t9))
% 0.36/0.56  (step t50.t2.t11 (cl (not (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)))) (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) :rule not_not)
% 0.36/0.56  (step t50.t2.t12 (cl (= (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a) false) (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) :rule resolution :premises (t50.t2.t10 t50.t2.t11))
% 0.36/0.56  (step t50.t2.t13 (cl (= (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a) false)) :rule resolution :premises (t50.t2.t12 t50.t2.a0))
% 0.36/0.56  (step t50.t2.t14 (cl (= (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a) false)) :rule trans :premises (t50.t2.t8 t50.t2.t13))
% 0.36/0.56  (step t50.t2.t15 (cl (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) :rule resolution :premises (t50.t2.t2 t50.t2.t14))
% 0.36/0.56  (step t50.t2 (cl (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) :rule subproof :discharge (t50.t2.a0 t50.t2.a1 t50.t2.a2 t50.t2.a3))
% 0.36/0.56  (step t50.t3 (cl (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) :rule and_pos)
% 0.36/0.56  (step t50.t4 (cl (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) :rule and_pos)
% 0.36/0.56  (step t50.t5 (cl (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) :rule and_pos)
% 0.36/0.56  (step t50.t6 (cl (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) :rule and_pos)
% 0.36/0.56  (step t50.t7 (cl (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a)) (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))))) :rule resolution :premises (t50.t2 t50.t3 t50.t4 t50.t5 t50.t6))
% 0.36/0.56  (step t50.t8 (cl (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) :rule reordering :premises (t50.t7))
% 0.36/0.56  (step t50.t9 (cl (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) :rule contraction :premises (t50.t8))
% 0.36/0.56  (step t50.t10 (cl (=> (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) :rule resolution :premises (t50.t1 t50.t9))
% 0.36/0.56  (step t50.t11 (cl (=> (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) (not (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a)))) :rule implies_neg2)
% 0.36/0.56  (step t50.t12 (cl (=> (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) (=> (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a)))) :rule resolution :premises (t50.t10 t50.t11))
% 0.36/0.56  (step t50.t13 (cl (=> (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a)))) :rule contraction :premises (t50.t12))
% 0.36/0.56  (step t50.t14 (cl (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) :rule implies :premises (t50.t13))
% 0.36/0.56  (step t50.t15 (cl (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) :rule and_neg)
% 0.36/0.56  (step t50.t16 (cl (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) :rule resolution :premises (t50.t15 t50.a0 t50.a2 t50.a1 t50.a3))
% 0.36/0.56  (step t50.t17 (cl (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) :rule resolution :premises (t50.t14 t50.t16))
% 0.36/0.56  (step t50 (cl (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) :rule subproof :discharge (t50.a0 t50.a1 t50.a2 t50.a3))
% 0.36/0.56  (step t51 (cl (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) :rule and_pos)
% 0.36/0.56  (step t52 (cl (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) :rule and_pos)
% 0.36/0.56  (step t53 (cl (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) :rule and_pos)
% 0.36/0.56  (step t54 (cl (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) :rule and_pos)
% 0.36/0.56  (step t55 (cl (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a)) (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))))) :rule resolution :premises (t50 t51 t52 t53 t54))
% 0.36/0.56  (step t56 (cl (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) :rule reordering :premises (t55))
% 0.36/0.56  (step t57 (cl (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) :rule contraction :premises (t56))
% 0.36/0.56  (step t58 (cl (=> (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) :rule resolution :premises (t49 t57))
% 0.36/0.56  (step t59 (cl (=> (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) (not (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a)))) :rule implies_neg2)
% 0.36/0.56  (step t60 (cl (=> (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) (=> (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a)))) :rule resolution :premises (t58 t59))
% 0.36/0.56  (step t61 (cl (=> (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a)))) :rule contraction :premises (t60))
% 0.36/0.56  (step t62 (cl (not (and (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a)) (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)) (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit)))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) :rule implies :premises (t61))
% 0.36/0.56  (step t63 (cl (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) :rule resolution :premises (t48 t62))
% 0.36/0.56  (step t64 (cl (or (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) (not (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))))) :rule or_neg)
% 0.36/0.56  (step t65 (cl (or (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) (not (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))))) :rule or_neg)
% 0.36/0.56  (step t66 (cl (or (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) (not (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))))) :rule or_neg)
% 0.36/0.56  (step t67 (cl (or (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) (not (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))))) :rule or_neg)
% 0.36/0.56  (step t68 (cl (or (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) (not (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a)))) :rule or_neg)
% 0.36/0.56  (step t69 (cl (or (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) (or (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) (or (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) (or (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) (or (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a)))) :rule resolution :premises (t63 t64 t65 t66 t67 t68))
% 0.36/0.56  (step t70 (cl (or (not (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a)))) :rule contraction :premises (t69))
% 0.36/0.56  (step t71 (cl (or (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a)))) :rule resolution :premises (t32 t47 t70))
% 0.36/0.56  (step t72 (cl (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a) (not (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) :rule or :premises (t71))
% 0.36/0.56  (step t73 (cl (=> (forall ((V_S $$unsorted) (V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Oglb V_S V_cl T_a) (tptp.c_Tarski_Olub V_S (tptp.c_Tarski_Odual V_cl T_a) T_a))) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (forall ((V_S $$unsorted) (V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Oglb V_S V_cl T_a) (tptp.c_Tarski_Olub V_S (tptp.c_Tarski_Odual V_cl T_a) T_a)))) :rule implies_neg1)
% 0.36/0.56  (anchor :step t74)
% 0.36/0.56  (assume t74.a0 (forall ((V_S $$unsorted) (V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Oglb V_S V_cl T_a) (tptp.c_Tarski_Olub V_S (tptp.c_Tarski_Odual V_cl T_a) T_a))))
% 0.36/0.56  (step t74.t1 (cl (or (not (forall ((V_S $$unsorted) (V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Oglb V_S V_cl T_a) (tptp.c_Tarski_Olub V_S (tptp.c_Tarski_Odual V_cl T_a) T_a)))) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)))) :rule forall_inst :args ((:= V_S tptp.v_S) (:= V_cl tptp.v_cl) (:= T_a tptp.t_a)))
% 0.36/0.56  (step t74.t2 (cl (not (forall ((V_S $$unsorted) (V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Oglb V_S V_cl T_a) (tptp.c_Tarski_Olub V_S (tptp.c_Tarski_Odual V_cl T_a) T_a)))) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) :rule or :premises (t74.t1))
% 0.36/0.56  (step t74.t3 (cl (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) :rule resolution :premises (t74.t2 t74.a0))
% 0.36/0.56  (step t74 (cl (not (forall ((V_S $$unsorted) (V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Oglb V_S V_cl T_a) (tptp.c_Tarski_Olub V_S (tptp.c_Tarski_Odual V_cl T_a) T_a)))) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) :rule subproof :discharge (t74.a0))
% 0.36/0.56  (step t75 (cl (=> (forall ((V_S $$unsorted) (V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Oglb V_S V_cl T_a) (tptp.c_Tarski_Olub V_S (tptp.c_Tarski_Odual V_cl T_a) T_a))) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) :rule resolution :premises (t73 t74))
% 0.36/0.56  (step t76 (cl (=> (forall ((V_S $$unsorted) (V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Oglb V_S V_cl T_a) (tptp.c_Tarski_Olub V_S (tptp.c_Tarski_Odual V_cl T_a) T_a))) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (not (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)))) :rule implies_neg2)
% 0.36/0.56  (step t77 (cl (=> (forall ((V_S $$unsorted) (V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Oglb V_S V_cl T_a) (tptp.c_Tarski_Olub V_S (tptp.c_Tarski_Odual V_cl T_a) T_a))) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) (=> (forall ((V_S $$unsorted) (V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Oglb V_S V_cl T_a) (tptp.c_Tarski_Olub V_S (tptp.c_Tarski_Odual V_cl T_a) T_a))) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)))) :rule resolution :premises (t75 t76))
% 0.36/0.56  (step t78 (cl (=> (forall ((V_S $$unsorted) (V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Oglb V_S V_cl T_a) (tptp.c_Tarski_Olub V_S (tptp.c_Tarski_Odual V_cl T_a) T_a))) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a)))) :rule contraction :premises (t77))
% 0.36/0.56  (step t79 (cl (not (forall ((V_S $$unsorted) (V_cl $$unsorted) (T_a $$unsorted)) (= (tptp.c_Tarski_Oglb V_S V_cl T_a) (tptp.c_Tarski_Olub V_S (tptp.c_Tarski_Odual V_cl T_a) T_a)))) (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) :rule implies :premises (t78))
% 0.36/0.56  (step t80 (cl (= (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a))) :rule resolution :premises (t79 a6))
% 0.36/0.56  (step t81 (cl (not (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) :rule resolution :premises (t72 a1 a2 t80 t30))
% 0.36/0.56  (step t82 (cl (=> (forall ((V_cl $$unsorted) (T_a $$unsorted) (V_S $$unsorted)) (or (not (tptp.c_in V_cl tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in V_cl tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals V_S (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) (tptp.tc_set T_a))) (tptp.c_in (tptp.c_Tarski_Olub V_S V_cl T_a) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) T_a))) (or (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) (forall ((V_cl $$unsorted) (T_a $$unsorted) (V_S $$unsorted)) (or (not (tptp.c_in V_cl tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in V_cl tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals V_S (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) (tptp.tc_set T_a))) (tptp.c_in (tptp.c_Tarski_Olub V_S V_cl T_a) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) T_a)))) :rule implies_neg1)
% 0.36/0.56  (anchor :step t83)
% 0.36/0.56  (assume t83.a0 (forall ((V_cl $$unsorted) (T_a $$unsorted) (V_S $$unsorted)) (or (not (tptp.c_in V_cl tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in V_cl tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals V_S (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) (tptp.tc_set T_a))) (tptp.c_in (tptp.c_Tarski_Olub V_S V_cl T_a) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) T_a))))
% 0.36/0.56  (step t83.t1 (cl (or (not (forall ((V_cl $$unsorted) (T_a $$unsorted) (V_S $$unsorted)) (or (not (tptp.c_in V_cl tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in V_cl tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals V_S (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) (tptp.tc_set T_a))) (tptp.c_in (tptp.c_Tarski_Olub V_S V_cl T_a) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) T_a)))) (or (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a)))) :rule forall_inst :args ((:= V_cl (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a)) (:= T_a tptp.t_a) (:= V_S tptp.v_S)))
% 0.36/0.56  (step t83.t2 (cl (not (forall ((V_cl $$unsorted) (T_a $$unsorted) (V_S $$unsorted)) (or (not (tptp.c_in V_cl tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in V_cl tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals V_S (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) (tptp.tc_set T_a))) (tptp.c_in (tptp.c_Tarski_Olub V_S V_cl T_a) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) T_a)))) (or (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) :rule or :premises (t83.t1))
% 0.36/0.56  (step t83.t3 (cl (or (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) :rule resolution :premises (t83.t2 t83.a0))
% 0.36/0.56  (step t83 (cl (not (forall ((V_cl $$unsorted) (T_a $$unsorted) (V_S $$unsorted)) (or (not (tptp.c_in V_cl tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in V_cl tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals V_S (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) (tptp.tc_set T_a))) (tptp.c_in (tptp.c_Tarski_Olub V_S V_cl T_a) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) T_a)))) (or (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) :rule subproof :discharge (t83.a0))
% 0.36/0.56  (step t84 (cl (=> (forall ((V_cl $$unsorted) (T_a $$unsorted) (V_S $$unsorted)) (or (not (tptp.c_in V_cl tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in V_cl tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals V_S (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) (tptp.tc_set T_a))) (tptp.c_in (tptp.c_Tarski_Olub V_S V_cl T_a) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) T_a))) (or (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) (or (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) :rule resolution :premises (t82 t83))
% 0.36/0.56  (step t85 (cl (=> (forall ((V_cl $$unsorted) (T_a $$unsorted) (V_S $$unsorted)) (or (not (tptp.c_in V_cl tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in V_cl tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals V_S (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) (tptp.tc_set T_a))) (tptp.c_in (tptp.c_Tarski_Olub V_S V_cl T_a) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) T_a))) (or (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) (not (or (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a)))) :rule implies_neg2)
% 0.36/0.56  (step t86 (cl (=> (forall ((V_cl $$unsorted) (T_a $$unsorted) (V_S $$unsorted)) (or (not (tptp.c_in V_cl tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in V_cl tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals V_S (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) (tptp.tc_set T_a))) (tptp.c_in (tptp.c_Tarski_Olub V_S V_cl T_a) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) T_a))) (or (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) (=> (forall ((V_cl $$unsorted) (T_a $$unsorted) (V_S $$unsorted)) (or (not (tptp.c_in V_cl tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in V_cl tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals V_S (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) (tptp.tc_set T_a))) (tptp.c_in (tptp.c_Tarski_Olub V_S V_cl T_a) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) T_a))) (or (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a)))) :rule resolution :premises (t84 t85))
% 0.36/0.56  (step t87 (cl (=> (forall ((V_cl $$unsorted) (T_a $$unsorted) (V_S $$unsorted)) (or (not (tptp.c_in V_cl tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in V_cl tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals V_S (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) (tptp.tc_set T_a))) (tptp.c_in (tptp.c_Tarski_Olub V_S V_cl T_a) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) T_a))) (or (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a)))) :rule contraction :premises (t86))
% 0.36/0.56  (step t88 (cl (not (forall ((V_cl $$unsorted) (T_a $$unsorted) (V_S $$unsorted)) (or (not (tptp.c_in V_cl tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in V_cl tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals V_S (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) (tptp.tc_set T_a))) (tptp.c_in (tptp.c_Tarski_Olub V_S V_cl T_a) (tptp.c_Tarski_Opotype_Opset V_cl T_a tptp.tc_Product__Type_Ounit) T_a)))) (or (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) :rule implies :premises (t87))
% 0.36/0.56  (step t89 (cl (or (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OCompleteLattice (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_in (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) (not (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) (tptp.tc_set tptp.t_a))) (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a) (tptp.c_Tarski_Opotype_Opset (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a) tptp.t_a tptp.tc_Product__Type_Ounit) tptp.t_a))) :rule resolution :premises (t88 a3))
% 0.36/0.56  (step t90 (cl) :rule resolution :premises (t2 t31 t81 t89 a5 a4))
% 0.36/0.56  
% 0.36/0.56  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.aTzN8pip4Q/cvc5---1.0.5_12108.smt2
% 0.36/0.56  % cvc5---1.0.5 exiting
% 0.36/0.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------