TSTP Solution File: SET628+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET628+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 14:39:36 EDT 2023
% Result : Theorem 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET628+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 15:00:43 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.52 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.eA2kAO7qZV/cvc5---1.0.5_6354.p...
% 0.20/0.52 ------- get file name : TPTP file name is SET628+3
% 0.20/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6354.smt2...
% 0.20/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.52 % SZS status Theorem for SET628+3
% 0.20/0.52 % SZS output start Proof for SET628+3
% 0.20/0.52 (
% 0.20/0.52 (let ((_let_1 (forall ((B $$unsorted)) (= (tptp.intersect B B) (tptp.not_equal B tptp.empty_set))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.not_equal B C) (not (= B C)))))) (let ((_let_4 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))))))) (let ((_let_5 (forall ((B $$unsorted)) (not (tptp.member B tptp.empty_set))))) (let ((_let_6 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.intersect B C) (exists ((D $$unsorted)) (and (tptp.member D B) (tptp.member D C))))))) (let ((_let_7 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 tptp.empty_set))) (let ((_let_8 (_let_5))) (let ((_let_9 (ASSUME :args _let_8))) (let ((_let_10 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_11 (= _let_10 _let_7))) (let ((_let_12 (forall ((D $$unsorted)) (= (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.member D tptp.empty_set))))) (let ((_let_13 (not _let_11))) (let ((_let_14 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (= _let_14 _let_12))) (let ((_let_16 (not _let_12))) (let ((_let_17 (_let_4))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 (not _let_14))) (let ((_let_20 (tptp.not_equal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.empty_set))) (let ((_let_21 (= _let_20 _let_19))) (let ((_let_22 (_let_3))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.empty_set QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.not_equal B C)))) :args _let_22))) _let_23 :args (_let_21 false _let_3)))) (let ((_let_25 (tptp.intersect SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_26 (= _let_25 _let_20))) (let ((_let_27 (not _let_26))) (let ((_let_28 (_let_2))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (or))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_29) :args _let_28)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_27)) :args _let_30)) _let_29 :args (_let_27 true _let_1)))) (let ((_let_32 (forall ((D $$unsorted)) (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_33 (not _let_32))) (let ((_let_34 (= _let_25 _let_33))) (let ((_let_35 (not _let_25))) (let ((_let_36 (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_37 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_37 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.intersect B C)))) :args (_let_36)))) _let_37 :args (_let_34 false _let_36)))) (let ((_let_39 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_40 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.empty_set))) (let ((_let_41 (not _let_34))) (let ((_let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))))) (let ((_let_43 (_let_34))) (let ((_let_44 (_let_39))) (let ((_let_45 (not _let_39))) (let ((_let_46 (_let_33))) (let ((_let_47 (_let_26))) (let ((_let_48 (not _let_21))) (let ((_let_49 (_let_21))) (let ((_let_50 (not _let_40))) (let ((_let_51 ((not (= (tptp.member B tptp.empty_set) false))))) (let ((_let_52 (ASSUME :args (_let_50)))) (let ((_let_53 (ASSUME :args (_let_14)))) (let ((_let_54 (ASSUME :args _let_44))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_52 _let_53 _let_54) :args (_let_14 _let_39 _let_50)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_54)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (SYMM _let_53) :args (APPLY_UF tptp.member)) (FALSE_INTRO _let_52))) :args (_let_50 _let_14 _let_39)) :args ((not (and _let_14 _let_39 _let_50)) SB_LITERAL))) (CONG (REFL :args (_let_19)) (REFL :args (_let_45)) (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_40))) :args _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_8)) _let_9 :args (_let_50 false _let_5)) (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args _let_49) (CONG (REFL :args (_let_48)) (REFL :args (_let_20)) (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_14))) :args _let_30)) :args ((or _let_20 _let_14 _let_48))) _let_24 (CNF_EQUIV_NEG2 :args _let_47) _let_31 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_46)) :args _let_46) (REWRITE :args ((=> _let_33 (not _let_45)))))) (CONG _let_42 (REFL :args _let_44) :args _let_30)) (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args _let_43) (CONG (REFL :args (_let_41)) (REFL :args (_let_25)) _let_42 :args _let_30)) :args ((or _let_25 _let_32 _let_41))) _let_38 :args (_let_32 true _let_40 false _let_14 false _let_21 true _let_20 true _let_26 false _let_39 false _let_25 false _let_34)))) (let ((_let_56 (_let_16))) (let ((_let_57 (_let_32))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args (_let_11)) :args ((or _let_10 _let_7 _let_11))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_57) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) false))))) :args _let_57)) _let_55 :args ((not _let_10) false _let_32)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_56)) :args _let_56)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_12))) (REFL :args (_let_13)) :args _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_15)) :args ((or _let_14 _let_16 (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_49) :args ((or (not _let_20) _let_19 _let_48))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_47) :args ((or _let_25 _let_20 _let_26))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_43) :args ((or _let_35 _let_33 _let_41))) _let_55 _let_38 :args (_let_35 false _let_32 false _let_34)) _let_31 :args (_let_20 true _let_25 true _let_26)) _let_24 :args (_let_19 false _let_20 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_18 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.empty_set QUANTIFIERS_INST_ENUM)) :args _let_17))) _let_18 :args (_let_15 false _let_4)) :args (_let_16 true _let_14 false _let_15)) :args (_let_13 true _let_12)) :args (_let_7 true _let_10 true _let_11)) _let_9 :args (false false _let_7 false _let_5)) :args (_let_6 _let_5 _let_4 _let_3 (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.intersect B C) (tptp.intersect C B))) (forall ((B $$unsorted)) (= (tptp.empty B) (forall ((C $$unsorted)) (not (tptp.member C B))))) _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.52 )
% 0.20/0.52 % SZS output end Proof for SET628+3
% 0.20/0.52 % cvc5---1.0.5 exiting
% 0.20/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------