TSTP Solution File: SET847-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET847-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% 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 : Thu Aug 31 14:40:40 EDT 2023
% Result : Unsatisfiable 0.20s 0.53s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET847-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 09:52:26 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.jTxwU1FqY6/cvc5---1.0.5_22562.p...
% 0.20/0.49 ------- get file name : TPTP file name is SET847-2
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22562.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53 % SZS status Unsatisfiable for SET847-2
% 0.20/0.53 % SZS output start Proof for SET847-2
% 0.20/0.53 (
% 0.20/0.53 (let ((_let_1 (forall ((V_U $$unsorted)) (not (tptp.c_in V_U (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set (tptp.tc_set tptp.t_a))))))) (let ((_let_2 (forall ((V_c $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set T_a)))) (or (not (tptp.c_in V_c (tptp.c_minus (tptp.c_Zorn_Ochain V_S T_a) (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set _let_1)) _let_1)) (not (= (tptp.c_Zorn_Osucc V_S V_c T_a) V_c))))))) (let ((_let_3 (forall ((V_S $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (let ((_let_2 (tptp.c_Zorn_OTFin V_S T_a))) (let ((_let_3 (tptp.c_Union _let_2 _let_1))) (or (not (tptp.c_in _let_3 _let_2 (tptp.tc_set _let_1))) (= _let_3 (tptp.c_Zorn_Osucc V_S _let_3 T_a))))))))) (let ((_let_4 (forall ((V_c $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set T_a)))) (or (not (tptp.c_in V_c (tptp.c_Zorn_OTFin V_S T_a) _let_1)) (tptp.c_in V_c (tptp.c_Zorn_Ochain V_S T_a) _let_1)))))) (let ((_let_5 (forall ((V_Y $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (let ((_let_2 (tptp.tc_set _let_1))) (let ((_let_3 (tptp.c_Zorn_OTFin V_S T_a))) (or (not (tptp.c_lessequals V_Y _let_3 (tptp.tc_set _let_2))) (tptp.c_in (tptp.c_Union V_Y _let_1) _let_3 _let_2)))))))) (let ((_let_6 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A V_A (tptp.tc_set T_a))))) (let ((_let_7 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c (tptp.c_minus V_A V_B (tptp.tc_set T_a)) T_a))))) (let ((_let_8 (tptp.tc_set tptp.t_a))) (let ((_let_9 (tptp.tc_set _let_8))) (let ((_let_10 (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a))) (let ((_let_11 (tptp.c_Zorn_OTFin tptp.v_S tptp.t_a))) (let ((_let_12 (tptp.c_Union _let_11 _let_8))) (let ((_let_13 (tptp.c_in _let_12 _let_10 _let_9))) (let ((_let_14 (_let_1))) (let ((_let_15 (ASSUME :args _let_14))) (let ((_let_16 (tptp.tc_set _let_9))) (let ((_let_17 (tptp.c_Zorn_Ochain tptp.v_S tptp.t_a))) (let ((_let_18 (tptp.c_in _let_12 (tptp.c_minus _let_17 _let_10 _let_16) _let_9))) (let ((_let_19 (tptp.c_in _let_12 _let_17 _let_9))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_13 _let_18))) (let ((_let_22 (_let_7))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (tptp.c_in _let_12 _let_11 _let_9))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_19))) (let ((_let_27 (_let_4))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (tptp.c_lessequals _let_11 _let_11 _let_16))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_24))) (let ((_let_32 (_let_5))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (tptp.tc_set T_a))) (let ((_let_35 (_let_6))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_24 _let_30 (not _let_31)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_11 _let_9 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_A V_A (tptp.tc_set T_a)) true))))) :args _let_35)) _let_36 :args (_let_29 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_11 tptp.v_S tptp.t_a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Union V_Y _let_34) (tptp.c_Zorn_OTFin V_S T_a) (tptp.tc_set _let_34)) true))))) :args _let_32)) _let_33 :args (_let_31 false _let_5)) :args (_let_24 false _let_29 false _let_31)))) (let ((_let_38 (= _let_12 (tptp.c_Zorn_Osucc tptp.v_S _let_12 tptp.t_a)))) (let ((_let_39 (not _let_38))) (let ((_let_40 (not _let_18))) (let ((_let_41 (or _let_40 _let_39))) (let ((_let_42 (forall ((V_c $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set T_a)))) (or (not (tptp.c_in V_c (tptp.c_minus (tptp.c_Zorn_Ochain V_S T_a) (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set _let_1)) _let_1)) (not (= V_c (tptp.c_Zorn_Osucc V_S V_c T_a)))))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (or _let_25 _let_38))) (let ((_let_45 (_let_3))) (let ((_let_46 (ASSUME :args _let_45))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (_let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_in V_U _let_10 _let_9) false))))) :args _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_18 _let_20 _let_13 (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_39 _let_40 (not _let_41)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_25 _let_38 (not _let_44)))) _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.v_S tptp.t_a QUANTIFIERS_INST_ENUM)) :args _let_45)) _let_46 :args (_let_44 false _let_3)) :args (_let_38 false _let_24 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_12 tptp.v_S tptp.t_a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Zorn_Osucc V_S V_c T_a)))) :args (_let_42))) _let_43 :args (_let_41 false _let_42)) :args (_let_40 false _let_38 false _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_19 (not _let_26)))) _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_12 tptp.v_S tptp.t_a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_c (tptp.c_Zorn_OTFin V_S T_a) (tptp.tc_set (tptp.tc_set T_a))) false))))) :args _let_27)) _let_28 :args (_let_26 false _let_4)) :args (_let_19 false _let_24 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_12 _let_17 _let_9 _let_10 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_c (tptp.c_minus V_A V_B (tptp.tc_set T_a)) T_a) true))))) :args _let_22)) _let_23 :args (_let_21 false _let_7)) :args (_let_13 true _let_18 false _let_19 false _let_21)) _let_15 :args (false false _let_13 false _let_1)) :args (_let_7 (forall ((V_a $$unsorted) (T_a $$unsorted)) (not (tptp.c_in V_a tptp.c_emptyset T_a))) (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals tptp.c_emptyset V_A (tptp.tc_set T_a))) (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Main_OsubsetI__1 V_A V_B T_a) V_A T_a) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))) (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (or (not (tptp.c_lessequals V_B V_A _let_1)) (not (tptp.c_lessequals V_A V_B _let_1)) (= V_A V_B)))) _let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.53 )
% 0.20/0.53 % SZS output end Proof for SET847-2
% 0.20/0.53 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------