TSTP Solution File: SET859-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET859-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 29 17:46:00 EDT 2024
% Result : Unsatisfiable 0.21s 0.51s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET859-2 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue May 28 12:19:54 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.dy4hN1ZFbk/cvc5---1.0.5_29297.smt2
% 0.21/0.51 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.dy4hN1ZFbk/cvc5---1.0.5_29297.smt2
% 0.21/0.52 (assume a0 (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_lessequals V_B V_C (tptp.tc_set T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (tptp.c_lessequals V_A V_C (tptp.tc_set T_a)))))
% 0.21/0.52 (assume a1 (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x (tptp.c_Zorn_Osucc V_S V_x T_a) (tptp.tc_set (tptp.tc_set T_a)))))
% 0.21/0.52 (assume a2 (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))
% 0.21/0.52 (assume a3 (not (tptp.c_lessequals tptp.v_n tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))))
% 0.21/0.52 (step t1 (cl (=> (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_lessequals V_B V_C (tptp.tc_set T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (tptp.c_lessequals V_A V_C (tptp.tc_set T_a)))) (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals tptp.v_n tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_lessequals V_B V_C (tptp.tc_set T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (tptp.c_lessequals V_A V_C (tptp.tc_set T_a))))) :rule implies_neg1)
% 0.21/0.52 (anchor :step t2)
% 0.21/0.52 (assume t2.a0 (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_lessequals V_B V_C (tptp.tc_set T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (tptp.c_lessequals V_A V_C (tptp.tc_set T_a)))))
% 0.21/0.52 (step t2.t1 (cl (or (not (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_lessequals V_B V_C (tptp.tc_set T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (tptp.c_lessequals V_A V_C (tptp.tc_set T_a))))) (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals tptp.v_n tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule forall_inst :args ((:= V_B (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a)) (:= V_C tptp.v_m) (:= T_a (tptp.tc_set tptp.t_a)) (:= V_A tptp.v_n)))
% 0.21/0.52 (step t2.t2 (cl (not (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_lessequals V_B V_C (tptp.tc_set T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (tptp.c_lessequals V_A V_C (tptp.tc_set T_a))))) (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals tptp.v_n tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule or :premises (t2.t1))
% 0.21/0.52 (step t2.t3 (cl (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals tptp.v_n tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule resolution :premises (t2.t2 t2.a0))
% 0.21/0.52 (step t2 (cl (not (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_lessequals V_B V_C (tptp.tc_set T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (tptp.c_lessequals V_A V_C (tptp.tc_set T_a))))) (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals tptp.v_n tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule subproof :discharge (t2.a0))
% 0.21/0.52 (step t3 (cl (=> (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_lessequals V_B V_C (tptp.tc_set T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (tptp.c_lessequals V_A V_C (tptp.tc_set T_a)))) (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals tptp.v_n tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals tptp.v_n tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule resolution :premises (t1 t2))
% 0.21/0.52 (step t4 (cl (=> (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_lessequals V_B V_C (tptp.tc_set T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (tptp.c_lessequals V_A V_C (tptp.tc_set T_a)))) (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals tptp.v_n tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) (not (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals tptp.v_n tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule implies_neg2)
% 0.21/0.52 (step t5 (cl (=> (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_lessequals V_B V_C (tptp.tc_set T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (tptp.c_lessequals V_A V_C (tptp.tc_set T_a)))) (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals tptp.v_n tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) (=> (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_lessequals V_B V_C (tptp.tc_set T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (tptp.c_lessequals V_A V_C (tptp.tc_set T_a)))) (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals tptp.v_n tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule resolution :premises (t3 t4))
% 0.21/0.52 (step t6 (cl (=> (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_lessequals V_B V_C (tptp.tc_set T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (tptp.c_lessequals V_A V_C (tptp.tc_set T_a)))) (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals tptp.v_n tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule contraction :premises (t5))
% 0.21/0.52 (step t7 (cl (not (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_lessequals V_B V_C (tptp.tc_set T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (tptp.c_lessequals V_A V_C (tptp.tc_set T_a))))) (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals tptp.v_n tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule implies :premises (t6))
% 0.21/0.52 (step t8 (cl (not (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals tptp.v_n tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))))) (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals tptp.v_n tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) :rule or_pos)
% 0.21/0.52 (step t9 (cl (tptp.c_lessequals tptp.v_n tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a))) (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals tptp.v_n tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule reordering :premises (t8))
% 0.21/0.52 (step t10 (cl (=> (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x (tptp.c_Zorn_Osucc V_S V_x T_a) (tptp.tc_set (tptp.tc_set T_a)))) (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x (tptp.c_Zorn_Osucc V_S V_x T_a) (tptp.tc_set (tptp.tc_set T_a))))) :rule implies_neg1)
% 0.21/0.52 (anchor :step t11)
% 0.21/0.52 (assume t11.a0 (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x (tptp.c_Zorn_Osucc V_S V_x T_a) (tptp.tc_set (tptp.tc_set T_a)))))
% 0.21/0.52 (step t11.t1 (cl (or (not (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x (tptp.c_Zorn_Osucc V_S V_x T_a) (tptp.tc_set (tptp.tc_set T_a))))) (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule forall_inst :args ((:= V_x tptp.v_n) (:= V_S tptp.v_S) (:= T_a tptp.t_a)))
% 0.21/0.52 (step t11.t2 (cl (not (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x (tptp.c_Zorn_Osucc V_S V_x T_a) (tptp.tc_set (tptp.tc_set T_a))))) (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) :rule or :premises (t11.t1))
% 0.21/0.52 (step t11.t3 (cl (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) :rule resolution :premises (t11.t2 t11.a0))
% 0.21/0.52 (step t11 (cl (not (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x (tptp.c_Zorn_Osucc V_S V_x T_a) (tptp.tc_set (tptp.tc_set T_a))))) (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) :rule subproof :discharge (t11.a0))
% 0.21/0.52 (step t12 (cl (=> (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x (tptp.c_Zorn_Osucc V_S V_x T_a) (tptp.tc_set (tptp.tc_set T_a)))) (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) :rule resolution :premises (t10 t11))
% 0.21/0.52 (step t13 (cl (=> (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x (tptp.c_Zorn_Osucc V_S V_x T_a) (tptp.tc_set (tptp.tc_set T_a)))) (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule implies_neg2)
% 0.21/0.52 (step t14 (cl (=> (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x (tptp.c_Zorn_Osucc V_S V_x T_a) (tptp.tc_set (tptp.tc_set T_a)))) (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (=> (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x (tptp.c_Zorn_Osucc V_S V_x T_a) (tptp.tc_set (tptp.tc_set T_a)))) (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule resolution :premises (t12 t13))
% 0.21/0.52 (step t15 (cl (=> (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x (tptp.c_Zorn_Osucc V_S V_x T_a) (tptp.tc_set (tptp.tc_set T_a)))) (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a))))) :rule contraction :premises (t14))
% 0.21/0.52 (step t16 (cl (not (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x (tptp.c_Zorn_Osucc V_S V_x T_a) (tptp.tc_set (tptp.tc_set T_a))))) (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) :rule implies :premises (t15))
% 0.21/0.52 (step t17 (cl (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) :rule resolution :premises (t16 a1))
% 0.21/0.52 (step t18 (cl (not (or (not (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))) (not (tptp.c_lessequals tptp.v_n (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a)))) (tptp.c_lessequals tptp.v_n tptp.v_m (tptp.tc_set (tptp.tc_set tptp.t_a)))))) :rule resolution :premises (t9 a3 a2 t17))
% 0.21/0.52 (step t19 (cl) :rule resolution :premises (t7 t18 a0))
% 0.21/0.52
% 0.21/0.52 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.dy4hN1ZFbk/cvc5---1.0.5_29297.smt2
% 0.21/0.52 % cvc5---1.0.5 exiting
% 0.21/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------