TSTP Solution File: SET625+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET625+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.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 14:39:35 EDT 2023
% Result : Theorem 0.21s 0.53s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET625+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n012.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 11:56:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.53 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.YFxL4B8XMX/cvc5---1.0.5_17584.p...
% 0.21/0.53 ------- get file name : TPTP file name is SET625+3
% 0.21/0.53 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17584.smt2...
% 0.21/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53 % SZS status Theorem for SET625+3
% 0.21/0.53 % SZS output start Proof for SET625+3
% 0.21/0.53 (
% 0.21/0.53 (let ((_let_1 (not (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.intersect B C) (tptp.subset C D)) (tptp.intersect B D)))))) (let ((_let_2 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.subset B C) (forall ((D $$unsorted)) (=> (tptp.member D B) (tptp.member D C))))))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.intersect B C) (exists ((D $$unsorted)) (and (tptp.member D B) (tptp.member D C))))))) (let ((_let_4 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_5 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_6 (not _let_4))) (let ((_let_7 (or _let_6 _let_5))) (let ((_let_8 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (not _let_8))) (let ((_let_10 (or _let_9 _let_6))) (let ((_let_11 (forall ((D $$unsorted)) (or (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_12 (not _let_10))) (let ((_let_13 (not _let_11))) (let ((_let_14 (tptp.intersect SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_15 (= _let_14 _let_13))) (let ((_let_16 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.intersect B C) (not (forall ((D $$unsorted)) (or (not (tptp.member D B)) (not (tptp.member D C))))))))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (_let_16))) (let ((_let_19 ((tptp.intersect B C)))) (let ((_let_20 (tptp.intersect SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_21 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_22 (not _let_21))) (let ((_let_23 (not _let_14))) (let ((_let_24 (or _let_23 _let_22 _let_20))) (let ((_let_25 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.intersect B C)) (not (tptp.subset C D)) (tptp.intersect B D))))) (let ((_let_26 (not _let_24))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (or))) (let ((_let_29 (not _let_25))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_27) :args (_let_29))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_25))) (REFL :args (_let_26)) :args _let_28)) _let_27 :args (_let_26 true _let_25)))) (let ((_let_31 (REFL :args (_let_24)))) (let ((_let_32 (_let_13))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_32)) :args _let_32)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_11))) (REFL :args (_let_12)) :args _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_15)) :args ((or _let_23 _let_13 (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 0)) (CONG _let_31 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_14))) :args _let_28)) :args ((or _let_14 _let_24))) _let_30 :args (_let_14 true _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_19)) :args _let_18)) _let_17 :args (_let_15 false _let_16)) :args (_let_13 false _let_14 false _let_15)) :args (_let_12 true _let_11)))) (let ((_let_34 (REFL :args (_let_10)))) (let ((_let_35 (forall ((D $$unsorted)) (or (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_36 (= _let_21 _let_35))) (let ((_let_37 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.subset B C) (forall ((D $$unsorted)) (or (not (tptp.member D B)) (tptp.member D C))))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (_let_35))) (let ((_let_40 (not _let_5))) (let ((_let_41 (or _let_9 _let_40))) (let ((_let_42 (forall ((D $$unsorted)) (or (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_43 (not _let_42))) (let ((_let_44 (= _let_20 _let_43))) (let ((_let_45 (not _let_44))) (let ((_let_46 (_let_42))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_7)) :args ((or _let_6 _let_5 (not _let_7)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_9 _let_40 (not _let_41)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_10 0)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_28)) :args ((or _let_8 _let_10))) _let_33 :args (_let_8 true _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_46) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) false))))) :args _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_44)) (CONG (REFL :args (_let_45)) (REFL :args (_let_20)) (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_28)) :args ((or _let_20 _let_42 _let_45))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_24 2)) _let_30 :args ((not _let_20) true _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_19)) :args _let_18)) _let_17 :args (_let_44 false _let_16)) :args (_let_42 true _let_20 false _let_44)) :args (_let_41 false _let_42)) :args (_let_40 false _let_8 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_39) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) false))))) :args _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_36)) :args ((or _let_22 _let_35 (not _let_36)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 1)) (CONG _let_31 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_28)) :args ((or _let_21 _let_24))) _let_30 :args (_let_21 true _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset B C)))) :args (_let_37))) _let_38 :args (_let_36 false _let_37)) :args (_let_35 false _let_21 false _let_36)) :args (_let_7 false _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_10 1)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_4))) :args _let_28)) :args ((or _let_4 _let_10))) _let_33 :args (_let_4 true _let_10)) :args (false true _let_5 false _let_7 false _let_4)) :args (_let_3 _let_2 (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.intersect B C) (tptp.intersect C B))) (forall ((B $$unsorted)) (tptp.subset B B)) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.53 )
% 0.21/0.53 % SZS output end Proof for SET625+3
% 0.21/0.53 % cvc5---1.0.5 exiting
% 0.21/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------