TSTP Solution File: SET787-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET787-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n015.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 14:40:20 EDT 2023
% Result : Unsatisfiable 0.18s 0.49s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET787-1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.12 % Command : do_cvc5 %s %d
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 10:35:22 EDT 2023
% 0.18/0.33 % CPUTime :
% 0.18/0.45 %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.46 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.6HSCdAX0MJ/cvc5---1.0.5_28004.p...
% 0.18/0.46 ------- get file name : TPTP file name is SET787-1
% 0.18/0.47 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_28004.smt2...
% 0.18/0.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.18/0.49 % SZS status Unsatisfiable for SET787-1
% 0.18/0.49 % SZS output start Proof for SET787-1
% 0.18/0.49 (
% 0.18/0.49 (let ((_let_1 (tptp.member tptp.sk2 (tptp.un tptp.a tptp.b)))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.cons tptp.b tptp.eptset))) (let ((_let_4 (tptp.cons tptp.a _let_3))) (let ((_let_5 (tptp.member tptp.sk2 (tptp.union _let_4)))) (let ((_let_6 (forall ((X $$unsorted)) (not (tptp.member X tptp.eptset))))) (let ((_let_7 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (or (not (tptp.member C B)) (tptp.member C (tptp.un A B)))))) (let ((_let_8 (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (or (not (tptp.member C A)) (tptp.member C (tptp.un A B)))))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U (tptp.cons V W))) (= U V) (tptp.member U W))))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.member U (tptp.union V))) (tptp.member (tptp.unionE_sk1 U V) V))))) (let ((_let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.member U (tptp.union V))) (tptp.member U (tptp.unionE_sk1 U V)))))) (let ((_let_12 (tptp.unionE_sk1 tptp.sk2 _let_4))) (let ((_let_13 (tptp.member tptp.sk2 _let_12))) (let ((_let_14 (tptp.member tptp.sk2 tptp.b))) (let ((_let_15 (= tptp.b _let_12))) (let ((_let_16 (not _let_5))) (let ((_let_17 (or _let_16 _let_13))) (let ((_let_18 (_let_11))) (let ((_let_19 (ASSUME :args _let_18))) (let ((_let_20 (ASSUME :args (_let_5)))) (let ((_let_21 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_16 _let_13 (not _let_17)))) _let_20 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.sk2 _let_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member U (tptp.union V)) false))))) :args _let_18)) _let_19 :args (_let_17 false _let_11)) :args (_let_13 false _let_5 false _let_17)))) (let ((_let_22 (not _let_14))) (let ((_let_23 (or _let_22 _let_1))) (let ((_let_24 (_let_7))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (ASSUME :args (_let_2)))) (let ((_let_27 (tptp.member _let_12 tptp.eptset))) (let ((_let_28 (tptp.member _let_12 _let_3))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_29 _let_15 _let_27))) (let ((_let_31 (_let_9))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 ((not (= (tptp.member U (tptp.cons V W)) false))))) (let ((_let_34 (_let_6))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (= tptp.a _let_12))) (let ((_let_37 (tptp.member _let_12 _let_4))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_36 _let_28))) (let ((_let_40 (tptp.member tptp.sk2 tptp.a))) (let ((_let_41 (not _let_36))) (let ((_let_42 (not _let_40))) (let ((_let_43 (or _let_42 _let_1))) (let ((_let_44 (_let_8))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (not _let_13))) (let ((_let_47 (or))) (let ((_let_48 (REFL :args (_let_46)))) (let ((_let_49 (ASSUME :args (_let_42)))) (let ((_let_50 (APPLY_UF tptp.member))) (let ((_let_51 (ASSUME :args (_let_36)))) (let ((_let_52 (REFL :args (tptp.sk2)))) (let ((_let_53 (ASSUME :args (_let_13)))) (let ((_let_54 (SYMM (TRUE_INTRO _let_53)))) (let ((_let_55 (or _let_16 _let_37))) (let ((_let_56 (_let_10))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (not _let_15))) (let ((_let_59 (ASSUME :args (_let_22)))) (let ((_let_60 (ASSUME :args (_let_15)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_59 _let_60 _let_53) :args (_let_13 _let_22 _let_15)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_54 (CONG _let_52 (SYMM _let_60) :args _let_50) (FALSE_INTRO _let_59))) :args (_let_22 _let_15 _let_13)) :args ((not (and _let_13 _let_22 _let_15)) SB_LITERAL))) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_14))) (REFL :args (_let_58)) :args _let_47)) :args ((or _let_14 _let_46 _let_58))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_29 _let_27 _let_15 (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_28 _let_36 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_16 _let_37 (not _let_55)))) _let_20 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.sk2 _let_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member U (tptp.union V)) false))))) :args _let_56)) _let_57 :args (_let_55 false _let_10)) :args (_let_37 false _let_5 false _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_49 _let_51 _let_53) :args (_let_13 _let_42 _let_36)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_54 (CONG _let_52 (SYMM _let_51) :args _let_50) (FALSE_INTRO _let_49))) :args (_let_42 _let_36 _let_13)) :args ((not (and _let_13 _let_42 _let_36)) SB_LITERAL))) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_40))) (REFL :args (_let_41)) :args _let_47)) :args ((or _let_40 _let_46 _let_41))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_1 _let_42 (not _let_43)))) _let_26 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.sk2 tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member C (tptp.un A B)) true))))) :args _let_44)) _let_45 :args (_let_43 false _let_8)) :args (_let_42 true _let_1 false _let_43)) _let_21 :args (_let_41 true _let_40 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_12 tptp.a _let_3 QUANTIFIERS_INST_E_MATCHING _let_33)) :args _let_31))) _let_32 :args (_let_39 false _let_9)) :args (_let_28 false _let_37 true _let_36 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member X tptp.eptset) false))))) :args _let_34)) _let_35 :args ((not _let_27) false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_12 tptp.b tptp.eptset QUANTIFIERS_INST_E_MATCHING _let_33)) :args _let_31))) _let_32 :args (_let_30 false _let_9)) :args (_let_15 false _let_28 true _let_27 false _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_1 _let_22 (not _let_23)))) _let_26 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.sk2 tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member C (tptp.un A B)) true))))) :args _let_24)) _let_25 :args (_let_23 false _let_7)) :args (_let_22 true _let_1 false _let_23)) _let_21 :args (false false _let_15 true _let_14 false _let_13)) :args (_let_11 _let_10 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.member (tptp.subsetI_sk1 A B) A) (tptp.subset A B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.member (tptp.subsetI_sk1 A B) B)) (tptp.subset A B))) _let_9 _let_8 _let_7 _let_6 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member (tptp.pair U V) W)) (tptp.member (tptp.pair V U) (tptp.converse W)))) (forall ((A $$unsorted) (B $$unsorted) (R $$unsorted)) (or (not (tptp.member (tptp.pair A B) (tptp.converse R))) (tptp.member (tptp.pair B A) R))) (forall ((YX $$unsorted) (R $$unsorted)) (or (not (tptp.member YX (tptp.converse R))) (= YX (tptp.pair (tptp.converseE_sk2 YX) (tptp.converseE_sk1 YX))))) (forall ((YX $$unsorted) (R $$unsorted)) (or (not (tptp.member YX (tptp.converse R))) (tptp.member (tptp.pair (tptp.converse_sk1 YX) (tptp.converse_sk2 YX)) R))) _let_5 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.18/0.49 )
% 0.18/0.50 % SZS output end Proof for SET787-1
% 0.18/0.50 % cvc5---1.0.5 exiting
% 0.18/0.50 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------