TSTP Solution File: SET864-2 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET864-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n025.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 17:46:02 EDT 2024
% Result : Unsatisfiable 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET864-2 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue May 28 11:40:09 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.BaMlZJyz9u/cvc5---1.0.5_14519.smt2
% 0.20/0.52 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.BaMlZJyz9u/cvc5---1.0.5_14519.smt2
% 0.20/0.53 (assume a0 (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= (tptp.c_Union V_c T_a) V_u))))
% 0.20/0.53 (assume a1 (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a))))
% 0.20/0.53 (assume a2 (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a)))
% 0.20/0.53 (assume a3 (forall ((V_U $$unsorted)) (or (tptp.c_in (tptp.v_x V_U) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))))
% 0.20/0.53 (assume a4 (forall ((V_U $$unsorted)) (or (tptp.c_lessequals V_U (tptp.v_x V_U) (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))))
% 0.20/0.53 (assume a5 (forall ((V_U $$unsorted)) (or (not (= V_U (tptp.v_x V_U))) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))))
% 0.20/0.53 (step t1 (cl (not (= (=> (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a)))) (or (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.c_Union tptp.v_c tptp.t_a)))) (=> (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a)))) (or (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a))))))) (not (=> (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a)))) (or (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.c_Union tptp.v_c tptp.t_a))))) (=> (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a)))) (or (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)))))) :rule equiv_pos2)
% 0.20/0.53 (step t2 (cl (= (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a)))) (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a)))))) :rule refl)
% 0.20/0.53 (step t3 (cl (= (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))))) :rule refl)
% 0.20/0.53 (step t4 (cl (= (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule refl)
% 0.20/0.53 (step t5 (cl (= (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))))) :rule refl)
% 0.20/0.53 (step t6 (cl (= (= (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.c_Union tptp.v_c tptp.t_a)) (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a))))) :rule all_simplify)
% 0.20/0.53 (step t7 (cl (= (or (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.c_Union tptp.v_c tptp.t_a))) (or (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)))))) :rule cong :premises (t3 t4 t5 t6))
% 0.20/0.53 (step t8 (cl (= (=> (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a)))) (or (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.c_Union tptp.v_c tptp.t_a)))) (=> (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a)))) (or (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a))))))) :rule cong :premises (t2 t7))
% 0.20/0.53 (step t9 (cl (=> (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a)))) (or (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.c_Union tptp.v_c tptp.t_a)))) (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a))))) :rule implies_neg1)
% 0.20/0.53 (anchor :step t10)
% 0.20/0.53 (assume t10.a0 (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a)))))
% 0.20/0.53 (step t10.t1 (cl (or (not (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a))))) (or (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.c_Union tptp.v_c tptp.t_a))))) :rule forall_inst :args ((:= V_u (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a))) (:= V_S tptp.v_S) (:= T_a tptp.t_a) (:= V_c tptp.v_c)))
% 0.20/0.53 (step t10.t2 (cl (not (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a))))) (or (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.c_Union tptp.v_c tptp.t_a)))) :rule or :premises (t10.t1))
% 0.20/0.53 (step t10.t3 (cl (or (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.c_Union tptp.v_c tptp.t_a)))) :rule resolution :premises (t10.t2 t10.a0))
% 0.20/0.53 (step t10 (cl (not (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a))))) (or (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.c_Union tptp.v_c tptp.t_a)))) :rule subproof :discharge (t10.a0))
% 0.20/0.53 (step t11 (cl (=> (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a)))) (or (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.c_Union tptp.v_c tptp.t_a)))) (or (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.c_Union tptp.v_c tptp.t_a)))) :rule resolution :premises (t9 t10))
% 0.20/0.53 (step t12 (cl (=> (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a)))) (or (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.c_Union tptp.v_c tptp.t_a)))) (not (or (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.c_Union tptp.v_c tptp.t_a))))) :rule implies_neg2)
% 0.20/0.53 (step t13 (cl (=> (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a)))) (or (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.c_Union tptp.v_c tptp.t_a)))) (=> (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a)))) (or (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.c_Union tptp.v_c tptp.t_a))))) :rule resolution :premises (t11 t12))
% 0.20/0.53 (step t14 (cl (=> (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a)))) (or (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.c_Union tptp.v_c tptp.t_a))))) :rule contraction :premises (t13))
% 0.20/0.53 (step t15 (cl (=> (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a)))) (or (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)))))) :rule resolution :premises (t1 t8 t14))
% 0.20/0.53 (step t16 (cl (not (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a))))) (or (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a))))) :rule implies :premises (t15))
% 0.20/0.53 (step t17 (cl (not (or (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a))))) (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)))) :rule or_pos)
% 0.20/0.53 (step t18 (cl (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (or (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)))))) :rule reordering :premises (t17))
% 0.20/0.53 (step t19 (cl (not (or (not (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)))) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) (not (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)))) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a)))) :rule or_pos)
% 0.20/0.53 (step t20 (cl (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))) (not (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)))) (not (or (not (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)))) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a)))))) :rule reordering :premises (t19))
% 0.20/0.53 (step t21 (cl (=> (forall ((V_U $$unsorted)) (or (not (= V_U (tptp.v_x V_U))) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))) (or (not (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)))) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) (forall ((V_U $$unsorted)) (or (not (= V_U (tptp.v_x V_U))) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a)))))) :rule implies_neg1)
% 0.20/0.53 (anchor :step t22)
% 0.20/0.53 (assume t22.a0 (forall ((V_U $$unsorted)) (or (not (= V_U (tptp.v_x V_U))) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))))
% 0.20/0.53 (step t22.t1 (cl (or (not (forall ((V_U $$unsorted)) (or (not (= V_U (tptp.v_x V_U))) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a)))))) (or (not (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)))) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a)))))) :rule forall_inst :args ((:= V_U (tptp.c_Union tptp.v_c tptp.t_a))))
% 0.20/0.53 (step t22.t2 (cl (not (forall ((V_U $$unsorted)) (or (not (= V_U (tptp.v_x V_U))) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a)))))) (or (not (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)))) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) :rule or :premises (t22.t1))
% 0.20/0.53 (step t22.t3 (cl (or (not (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)))) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) :rule resolution :premises (t22.t2 t22.a0))
% 0.20/0.53 (step t22 (cl (not (forall ((V_U $$unsorted)) (or (not (= V_U (tptp.v_x V_U))) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a)))))) (or (not (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)))) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) :rule subproof :discharge (t22.a0))
% 0.20/0.53 (step t23 (cl (=> (forall ((V_U $$unsorted)) (or (not (= V_U (tptp.v_x V_U))) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))) (or (not (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)))) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) (or (not (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)))) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) :rule resolution :premises (t21 t22))
% 0.20/0.53 (step t24 (cl (=> (forall ((V_U $$unsorted)) (or (not (= V_U (tptp.v_x V_U))) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))) (or (not (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)))) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) (not (or (not (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)))) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a)))))) :rule implies_neg2)
% 0.20/0.53 (step t25 (cl (=> (forall ((V_U $$unsorted)) (or (not (= V_U (tptp.v_x V_U))) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))) (or (not (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)))) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) (=> (forall ((V_U $$unsorted)) (or (not (= V_U (tptp.v_x V_U))) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))) (or (not (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)))) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a)))))) :rule resolution :premises (t23 t24))
% 0.20/0.53 (step t26 (cl (=> (forall ((V_U $$unsorted)) (or (not (= V_U (tptp.v_x V_U))) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))) (or (not (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)))) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a)))))) :rule contraction :premises (t25))
% 0.20/0.53 (step t27 (cl (not (forall ((V_U $$unsorted)) (or (not (= V_U (tptp.v_x V_U))) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a)))))) (or (not (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)))) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) :rule implies :premises (t26))
% 0.20/0.53 (step t28 (cl (or (not (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)))) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) :rule resolution :premises (t27 a5))
% 0.20/0.53 (step t29 (cl (not (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a))))) :rule resolution :premises (t20 a2 t28))
% 0.20/0.53 (step t30 (cl (not (or (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a)))) :rule or_pos)
% 0.20/0.53 (step t31 (cl (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a)) (not (or (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a)))))) :rule reordering :premises (t30))
% 0.20/0.53 (step t32 (cl (=> (forall ((V_U $$unsorted)) (or (tptp.c_lessequals V_U (tptp.v_x V_U) (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))) (or (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) (forall ((V_U $$unsorted)) (or (tptp.c_lessequals V_U (tptp.v_x V_U) (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a)))))) :rule implies_neg1)
% 0.20/0.53 (anchor :step t33)
% 0.20/0.53 (assume t33.a0 (forall ((V_U $$unsorted)) (or (tptp.c_lessequals V_U (tptp.v_x V_U) (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))))
% 0.20/0.53 (step t33.t1 (cl (or (not (forall ((V_U $$unsorted)) (or (tptp.c_lessequals V_U (tptp.v_x V_U) (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a)))))) (or (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a)))))) :rule forall_inst :args ((:= V_U (tptp.c_Union tptp.v_c tptp.t_a))))
% 0.20/0.53 (step t33.t2 (cl (not (forall ((V_U $$unsorted)) (or (tptp.c_lessequals V_U (tptp.v_x V_U) (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a)))))) (or (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) :rule or :premises (t33.t1))
% 0.20/0.53 (step t33.t3 (cl (or (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) :rule resolution :premises (t33.t2 t33.a0))
% 0.20/0.53 (step t33 (cl (not (forall ((V_U $$unsorted)) (or (tptp.c_lessequals V_U (tptp.v_x V_U) (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a)))))) (or (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) :rule subproof :discharge (t33.a0))
% 0.20/0.53 (step t34 (cl (=> (forall ((V_U $$unsorted)) (or (tptp.c_lessequals V_U (tptp.v_x V_U) (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))) (or (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) (or (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) :rule resolution :premises (t32 t33))
% 0.20/0.53 (step t35 (cl (=> (forall ((V_U $$unsorted)) (or (tptp.c_lessequals V_U (tptp.v_x V_U) (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))) (or (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) (not (or (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a)))))) :rule implies_neg2)
% 0.20/0.53 (step t36 (cl (=> (forall ((V_U $$unsorted)) (or (tptp.c_lessequals V_U (tptp.v_x V_U) (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))) (or (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) (=> (forall ((V_U $$unsorted)) (or (tptp.c_lessequals V_U (tptp.v_x V_U) (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))) (or (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a)))))) :rule resolution :premises (t34 t35))
% 0.20/0.53 (step t37 (cl (=> (forall ((V_U $$unsorted)) (or (tptp.c_lessequals V_U (tptp.v_x V_U) (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))) (or (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a)))))) :rule contraction :premises (t36))
% 0.20/0.53 (step t38 (cl (not (forall ((V_U $$unsorted)) (or (tptp.c_lessequals V_U (tptp.v_x V_U) (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a)))))) (or (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) :rule implies :premises (t37))
% 0.20/0.53 (step t39 (cl (or (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) :rule resolution :premises (t38 a4))
% 0.20/0.53 (step t40 (cl (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) :rule resolution :premises (t31 a2 t39))
% 0.20/0.53 (step t41 (cl (not (or (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a)))) :rule or_pos)
% 0.20/0.53 (step t42 (cl (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))) (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a)) (not (or (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a)))))) :rule reordering :premises (t41))
% 0.20/0.53 (step t43 (cl (=> (forall ((V_U $$unsorted)) (or (tptp.c_in (tptp.v_x V_U) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))) (or (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) (forall ((V_U $$unsorted)) (or (tptp.c_in (tptp.v_x V_U) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a)))))) :rule implies_neg1)
% 0.20/0.53 (anchor :step t44)
% 0.20/0.53 (assume t44.a0 (forall ((V_U $$unsorted)) (or (tptp.c_in (tptp.v_x V_U) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))))
% 0.20/0.53 (step t44.t1 (cl (or (not (forall ((V_U $$unsorted)) (or (tptp.c_in (tptp.v_x V_U) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a)))))) (or (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a)))))) :rule forall_inst :args ((:= V_U (tptp.c_Union tptp.v_c tptp.t_a))))
% 0.20/0.53 (step t44.t2 (cl (not (forall ((V_U $$unsorted)) (or (tptp.c_in (tptp.v_x V_U) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a)))))) (or (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) :rule or :premises (t44.t1))
% 0.20/0.53 (step t44.t3 (cl (or (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) :rule resolution :premises (t44.t2 t44.a0))
% 0.20/0.53 (step t44 (cl (not (forall ((V_U $$unsorted)) (or (tptp.c_in (tptp.v_x V_U) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a)))))) (or (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) :rule subproof :discharge (t44.a0))
% 0.20/0.53 (step t45 (cl (=> (forall ((V_U $$unsorted)) (or (tptp.c_in (tptp.v_x V_U) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))) (or (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) (or (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) :rule resolution :premises (t43 t44))
% 0.20/0.53 (step t46 (cl (=> (forall ((V_U $$unsorted)) (or (tptp.c_in (tptp.v_x V_U) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))) (or (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) (not (or (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a)))))) :rule implies_neg2)
% 0.20/0.53 (step t47 (cl (=> (forall ((V_U $$unsorted)) (or (tptp.c_in (tptp.v_x V_U) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))) (or (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) (=> (forall ((V_U $$unsorted)) (or (tptp.c_in (tptp.v_x V_U) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))) (or (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a)))))) :rule resolution :premises (t45 t46))
% 0.20/0.53 (step t48 (cl (=> (forall ((V_U $$unsorted)) (or (tptp.c_in (tptp.v_x V_U) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))) (or (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a)))))) :rule contraction :premises (t47))
% 0.20/0.53 (step t49 (cl (not (forall ((V_U $$unsorted)) (or (tptp.c_in (tptp.v_x V_U) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a)))))) (or (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) :rule implies :premises (t48))
% 0.20/0.53 (step t50 (cl (or (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a)) (not (tptp.c_in (tptp.c_Union tptp.v_c tptp.t_a) tptp.v_S (tptp.tc_set tptp.t_a))))) :rule resolution :premises (t49 a3))
% 0.20/0.53 (step t51 (cl (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) :rule resolution :premises (t42 a2 t50))
% 0.20/0.53 (step t52 (cl (not (or (not (tptp.c_in (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) tptp.v_S (tptp.tc_set tptp.t_a))) (not (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)) (tptp.tc_set tptp.t_a))) (= (tptp.c_Union tptp.v_c tptp.t_a) (tptp.v_x (tptp.c_Union tptp.v_c tptp.t_a)))))) :rule resolution :premises (t18 a1 t29 t40 t51))
% 0.20/0.53 (step t53 (cl (not (= (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= (tptp.c_Union V_c T_a) V_u))) (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a)))))) (not (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= (tptp.c_Union V_c T_a) V_u)))) (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a))))) :rule equiv_pos2)
% 0.20/0.53 (anchor :step t54 :args ((V_u $$unsorted) (:= V_u V_u) (V_S $$unsorted) (:= V_S V_S) (T_a $$unsorted) (:= T_a T_a) (V_c $$unsorted) (:= V_c V_c)))
% 0.20/0.53 (step t54.t1 (cl (= V_u V_u)) :rule refl)
% 0.20/0.53 (step t54.t2 (cl (= V_S V_S)) :rule refl)
% 0.20/0.53 (step t54.t3 (cl (= T_a T_a)) :rule refl)
% 0.20/0.53 (step t54.t4 (cl (= V_c V_c)) :rule refl)
% 0.20/0.53 (step t54.t5 (cl (= (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_u V_S (tptp.tc_set T_a))))) :rule refl)
% 0.20/0.53 (step t54.t6 (cl (= (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))))) :rule refl)
% 0.20/0.53 (step t54.t7 (cl (= (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))))) :rule refl)
% 0.20/0.53 (step t54.t8 (cl (= (= (tptp.c_Union V_c T_a) V_u) (= V_u (tptp.c_Union V_c T_a)))) :rule all_simplify)
% 0.20/0.53 (step t54.t9 (cl (= (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= (tptp.c_Union V_c T_a) V_u)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a))))) :rule cong :premises (t54.t5 t54.t6 t54.t7 t54.t8))
% 0.20/0.53 (step t54 (cl (= (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= (tptp.c_Union V_c T_a) V_u))) (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a)))))) :rule bind)
% 0.20/0.53 (step t55 (cl (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.c_in V_u V_S (tptp.tc_set T_a))) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_lessequals (tptp.c_Union V_c T_a) V_u (tptp.tc_set T_a))) (= V_u (tptp.c_Union V_c T_a))))) :rule resolution :premises (t53 t54 a0))
% 0.20/0.53 (step t56 (cl) :rule resolution :premises (t16 t52 t55))
% 0.20/0.53
% 0.20/0.53 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.BaMlZJyz9u/cvc5---1.0.5_14519.smt2
% 0.20/0.53 % cvc5---1.0.5 exiting
% 0.20/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------