TSTP Solution File: SET852-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET852-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n016.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 17:45:57 EDT 2024
% Result : Unsatisfiable 0.20s 0.53s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET852-2 : TPTP v8.2.0. Released v3.2.0.
% 0.03/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n016.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 09:41:09 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.L1qhEPIqeP/cvc5---1.0.5_9711.smt2
% 0.20/0.53 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.L1qhEPIqeP/cvc5---1.0.5_9711.smt2
% 0.20/0.53 (assume a0 (not (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))))
% 0.20/0.53 (assume a1 (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a)))))
% 0.20/0.53 (assume a2 (forall ((V_U $$unsorted)) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) V_U (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals V_U tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in V_U tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a)))))))
% 0.20/0.53 (assume a3 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_C (tptp.tc_set T_a)) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a)))))
% 0.20/0.53 (assume a4 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_A (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a)))))
% 0.20/0.53 (assume a5 (forall ((V_B $$unsorted) (V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_B (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a)))))
% 0.20/0.53 (step t1 (cl (=> (forall ((V_U $$unsorted)) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) V_U (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals V_U tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in V_U tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a)))))) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a)))))) (forall ((V_U $$unsorted)) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) V_U (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals V_U tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in V_U tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))))))) :rule implies_neg1)
% 0.20/0.53 (anchor :step t2)
% 0.20/0.53 (assume t2.a0 (forall ((V_U $$unsorted)) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) V_U (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals V_U tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in V_U tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a)))))))
% 0.20/0.53 (step t2.t1 (cl (or (not (forall ((V_U $$unsorted)) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) V_U (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals V_U tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in V_U tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))))))) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))))))) :rule forall_inst :args ((:= V_U (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)))))
% 0.20/0.53 (step t2.t2 (cl (not (forall ((V_U $$unsorted)) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) V_U (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals V_U tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in V_U tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))))))) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule or :premises (t2.t1))
% 0.20/0.53 (step t2.t3 (cl (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule resolution :premises (t2.t2 t2.a0))
% 0.20/0.53 (step t2 (cl (not (forall ((V_U $$unsorted)) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) V_U (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals V_U tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in V_U tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))))))) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule subproof :discharge (t2.a0))
% 0.20/0.53 (step t3 (cl (=> (forall ((V_U $$unsorted)) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) V_U (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals V_U tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in V_U tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a)))))) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a)))))) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule resolution :premises (t1 t2))
% 0.20/0.53 (step t4 (cl (=> (forall ((V_U $$unsorted)) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) V_U (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals V_U tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in V_U tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a)))))) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a)))))) (not (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))))))) :rule implies_neg2)
% 0.20/0.53 (step t5 (cl (=> (forall ((V_U $$unsorted)) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) V_U (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals V_U tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in V_U tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a)))))) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a)))))) (=> (forall ((V_U $$unsorted)) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) V_U (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals V_U tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in V_U tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a)))))) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))))))) :rule resolution :premises (t3 t4))
% 0.20/0.53 (step t6 (cl (=> (forall ((V_U $$unsorted)) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) V_U (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals V_U tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in V_U tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a)))))) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))))))) :rule contraction :premises (t5))
% 0.20/0.53 (step t7 (cl (not (forall ((V_U $$unsorted)) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) V_U (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals V_U tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in V_U tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))))))) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule implies :premises (t6))
% 0.20/0.53 (step t8 (cl (not (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a)))))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule or_pos)
% 0.20/0.53 (step t9 (cl (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))))))) :rule reordering :premises (t8))
% 0.20/0.53 (step t10 (cl (not (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) :rule or_pos)
% 0.20/0.53 (step t11 (cl (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule reordering :premises (t10))
% 0.20/0.53 (step t12 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_A (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a)))) (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_A (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a))))) :rule implies_neg1)
% 0.20/0.53 (anchor :step t13)
% 0.20/0.53 (assume t13.a0 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_A (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a)))))
% 0.20/0.53 (step t13.t1 (cl (or (not (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_A (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a))))) (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule forall_inst :args ((:= V_A tptp.v_m) (:= V_B (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a)) (:= V_C tptp.v_Y) (:= T_a (tptp.tc_set tptp.t_a))))
% 0.20/0.53 (step t13.t2 (cl (not (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_A (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a))))) (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule or :premises (t13.t1))
% 0.20/0.53 (step t13.t3 (cl (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule resolution :premises (t13.t2 t13.a0))
% 0.20/0.53 (step t13 (cl (not (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_A (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a))))) (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule subproof :discharge (t13.a0))
% 0.20/0.53 (step t14 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_A (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a)))) (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule resolution :premises (t12 t13))
% 0.20/0.53 (step t15 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_A (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a)))) (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) (not (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule implies_neg2)
% 0.20/0.53 (step t16 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_A (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a)))) (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_A (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a)))) (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule resolution :premises (t14 t15))
% 0.20/0.53 (step t17 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_A (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a)))) (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule contraction :premises (t16))
% 0.20/0.53 (step t18 (cl (not (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_A (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a))))) (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule implies :premises (t17))
% 0.20/0.53 (step t19 (cl (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule resolution :premises (t18 a4))
% 0.20/0.53 (step t20 (cl (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule resolution :premises (t11 a0 a1 t19))
% 0.20/0.53 (step t21 (cl (not (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) :rule or_pos)
% 0.20/0.53 (step t22 (cl (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule reordering :premises (t21))
% 0.20/0.53 (step t23 (cl (=> (forall ((V_B $$unsorted) (V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_B (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a)))) (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) (forall ((V_B $$unsorted) (V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_B (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a))))) :rule implies_neg1)
% 0.20/0.53 (anchor :step t24)
% 0.20/0.53 (assume t24.a0 (forall ((V_B $$unsorted) (V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_B (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a)))))
% 0.20/0.53 (step t24.t1 (cl (or (not (forall ((V_B $$unsorted) (V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_B (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a))))) (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule forall_inst :args ((:= V_B (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a)) (:= V_A tptp.v_m) (:= V_C tptp.v_Y) (:= T_a (tptp.tc_set tptp.t_a))))
% 0.20/0.53 (step t24.t2 (cl (not (forall ((V_B $$unsorted) (V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_B (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a))))) (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule or :premises (t24.t1))
% 0.20/0.53 (step t24.t3 (cl (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule resolution :premises (t24.t2 t24.a0))
% 0.20/0.53 (step t24 (cl (not (forall ((V_B $$unsorted) (V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_B (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a))))) (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule subproof :discharge (t24.a0))
% 0.20/0.53 (step t25 (cl (=> (forall ((V_B $$unsorted) (V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_B (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a)))) (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule resolution :premises (t23 t24))
% 0.20/0.53 (step t26 (cl (=> (forall ((V_B $$unsorted) (V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_B (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a)))) (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) (not (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule implies_neg2)
% 0.20/0.53 (step t27 (cl (=> (forall ((V_B $$unsorted) (V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_B (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a)))) (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) (=> (forall ((V_B $$unsorted) (V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_B (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a)))) (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule resolution :premises (t25 t26))
% 0.20/0.53 (step t28 (cl (=> (forall ((V_B $$unsorted) (V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_B (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a)))) (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule contraction :premises (t27))
% 0.20/0.53 (step t29 (cl (not (forall ((V_B $$unsorted) (V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_B (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a))))) (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule implies :premises (t28))
% 0.20/0.53 (step t30 (cl (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule resolution :premises (t29 a5))
% 0.20/0.53 (step t31 (cl (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule resolution :premises (t22 a0 a1 t30))
% 0.20/0.53 (step t32 (cl (not (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) :rule or_pos)
% 0.20/0.53 (step t33 (cl (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule reordering :premises (t32))
% 0.20/0.53 (step t34 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_C (tptp.tc_set T_a)) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a)))) (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_C (tptp.tc_set T_a)) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a))))) :rule implies_neg1)
% 0.20/0.53 (anchor :step t35)
% 0.20/0.53 (assume t35.a0 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_C (tptp.tc_set T_a)) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a)))))
% 0.20/0.53 (step t35.t1 (cl (or (not (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_C (tptp.tc_set T_a)) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a))))) (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule forall_inst :args ((:= V_A tptp.v_m) (:= V_B (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a)) (:= V_C tptp.v_Y) (:= T_a (tptp.tc_set tptp.t_a))))
% 0.20/0.53 (step t35.t2 (cl (not (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_C (tptp.tc_set T_a)) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a))))) (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule or :premises (t35.t1))
% 0.20/0.53 (step t35.t3 (cl (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule resolution :premises (t35.t2 t35.a0))
% 0.20/0.53 (step t35 (cl (not (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_C (tptp.tc_set T_a)) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a))))) (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule subproof :discharge (t35.a0))
% 0.20/0.53 (step t36 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_C (tptp.tc_set T_a)) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a)))) (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule resolution :premises (t34 t35))
% 0.20/0.53 (step t37 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_C (tptp.tc_set T_a)) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a)))) (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) (not (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule implies_neg2)
% 0.20/0.53 (step t38 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_C (tptp.tc_set T_a)) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a)))) (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_C (tptp.tc_set T_a)) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a)))) (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule resolution :premises (t36 t37))
% 0.20/0.53 (step t39 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_C (tptp.tc_set T_a)) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a)))) (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule contraction :premises (t38))
% 0.20/0.53 (step t40 (cl (not (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_C (tptp.tc_set T_a)) (tptp.c_lessequals V_B (tptp.c_Union V_C T_a) (tptp.tc_set T_a)) (tptp.c_lessequals (tptp.c_Union V_C T_a) V_A (tptp.tc_set T_a))))) (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule implies :premises (t39))
% 0.20/0.53 (step t41 (cl (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Union tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule resolution :premises (t40 a3))
% 0.20/0.53 (step t42 (cl (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a)))) :rule resolution :premises (t33 a0 a1 t41))
% 0.20/0.53 (step t43 (cl (not (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) (tptp.tc_set (tptp.tc_set tptp.t_a))) (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a) tptp.v_Y (tptp.tc_set tptp.t_a)) tptp.v_Y (tptp.tc_set (tptp.tc_set tptp.t_a))))))) :rule resolution :premises (t9 t20 t31 t42))
% 0.20/0.53 (step t44 (cl) :rule resolution :premises (t7 t43 a2))
% 0.20/0.53
% 0.20/0.54 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.L1qhEPIqeP/cvc5---1.0.5_9711.smt2
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------