TSTP Solution File: SET012-4 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET012-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 14:36:41 EDT 2023
% Result : Unsatisfiable 0.39s 0.63s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SET012-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n009.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 : Sat Aug 26 13:34:50 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.19/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.op5sPcjqI4/cvc5---1.0.5_21121.p...
% 0.19/0.50 ------- get file name : TPTP file name is SET012-4
% 0.19/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_21121.smt2...
% 0.19/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.39/0.63 % SZS status Unsatisfiable for SET012-4
% 0.39/0.63 % SZS output start Proof for SET012-4
% 0.39/0.63 (
% 0.39/0.63 (let ((_let_1 (= tptp.as tptp.cs))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.complement tptp.bs))) (let ((_let_4 (= _let_3 tptp.cs))) (let ((_let_5 (tptp.complement tptp.as))) (let ((_let_6 (= _let_5 tptp.bs))) (let ((_let_7 (forall ((Z $$unsorted) (X $$unsorted)) (or (tptp.member Z (tptp.complement X)) (not (tptp.little_set Z)) (tptp.member Z X))))) (let ((_let_8 (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.complement X))) (not (tptp.member Z X)))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.f1 X Y))) (or (not (tptp.member _let_1 X)) (not (tptp.member _let_1 Y)) (= X Y)))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.f1 X Y))) (or (tptp.member _let_1 X) (tptp.member _let_1 Y) (= X Y)))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.little_set (tptp.f1 X Y)) (= X Y))))) (let ((_let_12 (tptp.f1 tptp.as _let_3))) (let ((_let_13 (tptp.member _let_12 tptp.as))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.member _let_12 _let_5))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_14))) (let ((_let_18 (_let_8))) (let ((_let_19 (ASSUME :args _let_18))) (let ((_let_20 (not _let_17))) (let ((_let_21 (tptp.member _let_12 tptp.bs))) (let ((_let_22 (= tptp.bs _let_5))) (let ((_let_23 (tptp.little_set _let_12))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.member _let_12 _let_3))) (let ((_let_26 (or _let_25 _let_24 _let_21))) (let ((_let_27 (_let_7))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 ((not (= (tptp.member Z (tptp.complement X)) true))))) (let ((_let_30 (= tptp.as _let_3))) (let ((_let_31 (or _let_23 _let_30))) (let ((_let_32 (_let_11))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (tptp.as _let_3 QUANTIFIERS_INST_ENUM))) (let ((_let_35 (= tptp.cs _let_3))) (let ((_let_36 (not _let_30))) (let ((_let_37 (SYMM (ASSUME :args (_let_4))))) (let ((_let_38 (ASSUME :args (_let_2)))) (let ((_let_39 (or))) (let ((_let_40 (and _let_2 _let_35))) (let ((_let_41 (_let_2 _let_35))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_40)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_38 _let_37) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.as)) (SYMM _let_37) :args (=)) (FALSE_INTRO _let_38))) :args _let_41)) :args _let_41)) :args (true _let_40)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args ((not _let_35))) (REFL :args (_let_36)) :args _let_39)) _let_38 _let_37 :args (_let_36 true _let_1 false _let_35)))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_23 _let_30 (not _let_31)))) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args _let_34) :args _let_32)) _let_33 :args (_let_31 false _let_11)) :args (_let_23 true _let_30 false _let_31)))) (let ((_let_44 (not _let_25))) (let ((_let_45 (or _let_14 _let_44 _let_30))) (let ((_let_46 (not _let_21))) (let ((_let_47 (or _let_44 _let_46))) (let ((_let_48 (or _let_15 _let_24 _let_13))) (let ((_let_49 (_let_9))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 ((not (= (tptp.member Z (tptp.complement X)) false))))) (let ((_let_52 (SYMM (ASSUME :args (_let_6))))) (let ((_let_53 (and _let_22 _let_46))) (let ((_let_54 (ASSUME :args (_let_46)))) (let ((_let_55 (CONG (REFL :args (_let_12)) (SYMM _let_52) :args (APPLY_UF tptp.member)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_53)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_54 _let_52) (SCOPE (FALSE_ELIM (TRANS _let_55 (FALSE_INTRO _let_54))) :args (_let_46 _let_22))) :args (_let_22 _let_46))) :args (true _let_53)) (CONG (REFL :args ((not _let_22))) (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_21))) (REFL :args (_let_16)) :args _let_39)) _let_52 (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_13 _let_24 _let_15 (not _let_48)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_12 tptp.as QUANTIFIERS_INST_E_MATCHING _let_29)) :args _let_27)) _let_28 :args (_let_48 false _let_7)) _let_43 (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_44 _let_46 (not _let_47)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_12 tptp.bs QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_18)) _let_19 :args (_let_47 false _let_8)) (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_30 _let_14 _let_44 (not _let_45)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args _let_34) :args _let_49)) _let_50 :args (_let_45 false _let_9)) _let_42 :args (_let_44 false _let_22 false _let_15 false _let_48 false _let_23 true _let_21 false _let_47 true _let_13 false _let_45 true _let_30)))) (let ((_let_57 (and _let_22 _let_21))) (let ((_let_58 (ASSUME :args (_let_21)))) (let ((_let_59 (or _let_13 _let_25 _let_30))) (let ((_let_60 (_let_10))) (let ((_let_61 (ASSUME :args _let_60))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_12 tptp.as QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_14 _let_16 _let_20))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_30 _let_13 _let_25 (not _let_59)))) _let_42 _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args _let_34) :args _let_60)) _let_61 :args (_let_59 false _let_10)) :args (_let_13 true _let_30 true _let_25 false _let_59)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_57)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_58 _let_52) (SCOPE (TRUE_ELIM (TRANS _let_55 (TRUE_INTRO _let_58))) :args (_let_21 _let_22))) :args (_let_22 _let_21))) :args (true _let_57)) _let_52 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_24 _let_21 (not _let_26)))) _let_56 _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_12 tptp.bs QUANTIFIERS_INST_E_MATCHING _let_29)) :args _let_27)) _let_28 :args (_let_26 false _let_7)) :args (_let_21 true _let_25 false _let_23 false _let_26)) :args (_let_15 false _let_22 false _let_21)) :args (_let_20 false _let_13 false _let_15)) _let_19 :args (false true _let_17 false _let_8)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X Y)) (tptp.little_set X))) _let_11 _let_10 _let_9 _let_8 _let_7 (forall ((Z $$unsorted)) (not (tptp.member Z tptp.empty_set))) (forall ((Z $$unsorted)) (or (tptp.member Z tptp.universal_set) (not (tptp.little_set Z)))) _let_6 _let_4 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.39/0.63 )
% 0.39/0.63 % SZS output end Proof for SET012-4
% 0.46/0.64 % cvc5---1.0.5 exiting
% 0.46/0.64 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------