TSTP Solution File: SYN417+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN417+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 : Fri Sep 1 02:03:04 EDT 2023
% Result : Theorem 0.20s 0.54s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN417+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n001.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 20:57:46 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.54 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ipEmnkXfVH/cvc5---1.0.5_11024.p...
% 0.20/0.54 ------- get file name : TPTP file name is SYN417+1
% 0.20/0.54 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11024.smt2...
% 0.20/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.54 % SZS status Theorem for SYN417+1
% 0.20/0.54 % SZS output start Proof for SYN417+1
% 0.20/0.54 (
% 0.20/0.54 (let ((_let_1 (not (= (exists ((X $$unsorted)) (and (= X (tptp.f (tptp.g X))) (forall ((Y $$unsorted)) (=> (= Y (tptp.f (tptp.g Y))) (= X Y))))) (exists ((X $$unsorted)) (and (= X (tptp.g (tptp.f X))) (forall ((Y $$unsorted)) (=> (= Y (tptp.g (tptp.f Y))) (= X Y))))))))) (let ((_let_2 (tptp.g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_3 (tptp.f _let_2))) (let ((_let_4 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_3))) (let ((_let_5 (tptp.f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_6 (= _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_7 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_2))) (let ((_let_8 (not _let_4))) (let ((_let_9 (or _let_8 _let_6))) (let ((_let_10 (forall ((Y $$unsorted)) (or (not (= Y (tptp.f (tptp.g Y)))) (= Y (tptp.f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))))) (let ((_let_11 (not _let_9))) (let ((_let_12 (not _let_10))) (let ((_let_13 (tptp.g _let_5))) (let ((_let_14 (= _let_5 (tptp.f _let_13)))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_12))) (let ((_let_17 (forall ((X $$unsorted)) (or (not (= X (tptp.f (tptp.g X)))) (not (forall ((Y $$unsorted)) (or (not (= Y (tptp.f (tptp.g Y)))) (= X Y)))))))) (let ((_let_18 (forall ((X $$unsorted)) (or (not (= X (tptp.g (tptp.f X)))) (not (forall ((Y $$unsorted)) (or (not (= Y (tptp.g (tptp.f Y)))) (= X Y)))))))) (let ((_let_19 (forall ((Y $$unsorted)) (or (not (= Y (tptp.f (tptp.g Y)))) (= Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (tptp.f _let_21))) (let ((_let_23 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_22))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_20))) (let ((_let_26 (= _let_21 (tptp.g _let_22)))) (let ((_let_27 (forall ((Y $$unsorted)) (or (not (= Y (tptp.g (tptp.f Y)))) (= Y (tptp.g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_28 (not _let_27))) (let ((_let_29 (not _let_26))) (let ((_let_30 (or _let_29 _let_28))) (let ((_let_31 (= _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_32 (tptp.f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_33 (tptp.g _let_32))) (let ((_let_34 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_33))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_31))) (let ((_let_37 (= _let_32 (tptp.f _let_33)))) (let ((_let_38 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_32))) (let ((_let_39 (not _let_37))) (let ((_let_40 (or _let_39 _let_38))) (let ((_let_41 (or))) (let ((_let_42 (not _let_18))) (let ((_let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_18))))) (let ((_let_44 (not _let_17))) (let ((_let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_17))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (_let_44))) (let ((_let_48 (REFL :args (_let_25)))) (let ((_let_49 (_let_23))) (let ((_let_50 (APPLY_UF tptp.g))) (let ((_let_51 (ASSUME :args _let_49))) (let ((_let_52 (_let_18))) (let ((_let_53 (_let_28))) (let ((_let_54 (_let_34))) (let ((_let_55 (APPLY_UF tptp.f))) (let ((_let_56 (ASSUME :args _let_54))) (let ((_let_57 (SYMM _let_56))) (let ((_let_58 (_let_19))) (let ((_let_59 (and _let_34 _let_38))) (let ((_let_60 (_let_34 _let_38))) (let ((_let_61 (ASSUME :args (_let_38)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_59)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_56 _let_61) (SCOPE (TRANS (CONG (SYMM (SYMM _let_61)) :args _let_50) _let_57) :args _let_60)) :args _let_60)) :args (true _let_59)) :args ((or _let_35 _let_31 (not _let_38)))) (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_38 (not _let_40)))) (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_58) :args (_let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.g Y)))) :args _let_58))) (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_56 (SCOPE (CONG (SYMM _let_57) :args _let_55) :args _let_54)) :args _let_54)) (CNF_OR_NEG :args (_let_36 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 0)) (CONG (REFL :args (_let_36)) (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_41)) :args ((or _let_34 _let_36))) (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_53)) :args _let_53) (REWRITE :args ((=> _let_28 (not (or _let_35 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_21)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) (REFL :args ((not _let_36))) :args _let_41)) (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_29 _let_28 (not _let_30)))) (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_52) :args (_let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f X)))) :args _let_52))) (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_51 (SCOPE (CONG (SYMM (SYMM _let_51)) :args _let_50) :args _let_49)) :args _let_49)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 1)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_41)) :args ((or _let_19 _let_25))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 0)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_41)) :args ((or _let_23 _let_25))) (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_47)) :args _let_47) (REWRITE :args ((=> _let_44 (not (or _let_24 (not (forall ((Y $$unsorted)) (or (not (= Y (tptp.f (tptp.g Y)))) (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y))))))))))) (CONG _let_45 (REFL :args ((not _let_25))) :args _let_41)) (EQ_RESOLVE (NOT_EQUIV_ELIM2 _let_46) (CONG _let_45 _let_43 :args _let_41)) :args (_let_17 false _let_38 false _let_40 false _let_37 true _let_31 false _let_34 true _let_36 true _let_27 false _let_30 false _let_26 false _let_19 false _let_23 true _let_25 false _let_18)))) (let ((_let_63 (_let_17))) (let ((_let_64 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_13))) (let ((_let_65 (forall ((Y $$unsorted)) (or (not (= Y (tptp.g (tptp.f Y)))) (= Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_66 (not _let_65))) (let ((_let_67 (not _let_64))) (let ((_let_68 (or _let_67 _let_66))) (let ((_let_69 (not _let_68))) (let ((_let_70 (_let_42))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_70)) :args _let_70) (REWRITE :args ((=> _let_42 (not (or _let_67 (not (forall ((Y $$unsorted)) (or (not (= Y (tptp.g (tptp.f Y)))) (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Y))))))))))) (CONG _let_43 (REFL :args (_let_69)) :args _let_41)) (MACRO_RESOLUTION_TRUST (NOT_EQUIV_ELIM1 _let_46) _let_62 :args (_let_42 false _let_17)) :args (_let_69 true _let_18)))) (let ((_let_72 (REFL :args (_let_68)))) (let ((_let_73 (_let_64))) (let ((_let_74 (ASSUME :args _let_73))) (let ((_let_75 (_let_12))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_75)) :args _let_75) (REWRITE :args ((=> _let_12 (not (or _let_8 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_5)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_10))) (REFL :args (_let_11)) :args _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_15 _let_12 (not _let_16)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_74 (SCOPE (CONG (SYMM (SYMM _let_74)) :args _let_55) :args _let_73)) :args _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_68 0)) (CONG _let_72 (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_64))) :args _let_41)) :args ((or _let_64 _let_68))) _let_71 :args (_let_64 true _let_68)) :args (_let_14 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_63) :args (_let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.g X)))) :args _let_63))) _let_62 :args (_let_16 false _let_17)) :args (_let_12 false _let_14 false _let_16)) :args (_let_11 true _let_10)))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_9 0)) (CONG (REFL :args (_let_9)) (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_4))) :args _let_41)) :args ((or _let_4 _let_9))) _let_76 :args (_let_4 true _let_9)))) (let ((_let_78 (= _let_2 (tptp.g _let_3)))) (let ((_let_79 (not _let_78))) (let ((_let_80 (or _let_79 _let_7))) (let ((_let_81 (_let_65))) (let ((_let_82 (_let_4))) (let ((_let_83 (ASSUME :args _let_82))) (let ((_let_84 (SYMM _let_83))) (let ((_let_85 (and _let_4 _let_7))) (let ((_let_86 (_let_4 _let_7))) (let ((_let_87 (ASSUME :args (_let_7)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_85)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_83 _let_87) (SCOPE (TRANS (CONG (SYMM (SYMM _let_87)) :args _let_55) _let_84) :args _let_86)) :args _let_86)) :args (true _let_85)) :args ((or _let_8 _let_6 (not _let_7)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_79 _let_7 (not _let_80)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_83 (SCOPE (CONG (SYMM _let_84) :args _let_50) :args _let_82)) :args _let_82)) _let_77 :args (_let_78 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_81) :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f Y)))) :args _let_81))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_68 1)) (CONG _let_72 (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_65))) :args _let_41)) :args ((or _let_65 _let_68))) _let_71 :args (_let_65 true _let_68)) :args (_let_80 false _let_65)) :args (_let_7 false _let_78 false _let_80)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_9 1)) _let_76 :args ((not _let_6) true _let_9)) _let_77 :args (false false _let_7 true _let_6 false _let_4)) :args (_let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.54 )
% 0.20/0.54 % SZS output end Proof for SYN417+1
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------