TSTP Solution File: CAT004-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : CAT004-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n016.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 : Wed Aug 30 18:14:29 EDT 2023
% Result : Unsatisfiable 0.21s 0.57s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT004-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.17/0.35 % Computer : n016.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Sun Aug 27 00:36:42 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.QglRRVR270/cvc5---1.0.5_26600.p...
% 0.21/0.49 ------- get file name : TPTP file name is CAT004-2
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_26600.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.57 % SZS status Unsatisfiable for CAT004-2
% 0.21/0.57 % SZS output start Proof for CAT004-2
% 0.21/0.57 (
% 0.21/0.57 (let ((_let_1 (= tptp.h tptp.g))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.compose tptp.a tptp.b))) (let ((_let_4 (tptp.compose _let_3 tptp.g))) (let ((_let_5 (tptp.compose _let_3 tptp.h))) (let ((_let_6 (= _let_5 _let_4))) (let ((_let_7 (tptp.domain tptp.g))) (let ((_let_8 (tptp.codomain _let_3))) (let ((_let_9 (= _let_8 _let_7))) (let ((_let_10 (tptp.domain tptp.h))) (let ((_let_11 (= _let_8 _let_10))) (let ((_let_12 (tptp.domain tptp.b))) (let ((_let_13 (tptp.codomain tptp.a))) (let ((_let_14 (= _let_13 _let_12))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.codomain tptp.b))) (or (not (= _let_1 (tptp.domain X))) (not (= (tptp.compose tptp.b X) Y)) (not (= _let_1 (tptp.domain Z))) (not (= (tptp.compose tptp.b Z) Y)) (= X Z)))))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.codomain tptp.a))) (or (not (= _let_1 (tptp.domain X))) (not (= (tptp.compose tptp.a X) Y)) (not (= _let_1 (tptp.domain Z))) (not (= (tptp.compose tptp.a Z) Y)) (= X Z)))))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.codomain X) (tptp.domain Y))) (not (= (tptp.codomain Y) (tptp.domain Z))) (= (tptp.compose X (tptp.compose Y Z)) (tptp.compose (tptp.compose X Y) Z)))))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.codomain X) (tptp.domain Y))) (= (tptp.codomain (tptp.compose X Y)) (tptp.codomain Y)))))) (let ((_let_19 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.codomain X) (tptp.domain Y))) (= (tptp.domain (tptp.compose X Y)) (tptp.domain X)))))) (let ((_let_20 (tptp.compose tptp.b tptp.h))) (let ((_let_21 (tptp.compose tptp.a _let_20))) (let ((_let_22 (= _let_5 _let_21))) (let ((_let_23 (tptp.compose tptp.b tptp.g))) (let ((_let_24 (tptp.compose tptp.a _let_23))) (let ((_let_25 (= _let_4 _let_24))) (let ((_let_26 (= _let_24 _let_21))) (let ((_let_27 (ASSUME :args (_let_6)))) (let ((_let_28 (tptp.codomain tptp.b))) (let ((_let_29 (= _let_28 _let_10))) (let ((_let_30 (not _let_29))) (let ((_let_31 (not _let_14))) (let ((_let_32 (or _let_31 _let_30 _let_22))) (let ((_let_33 (_let_17))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 ((tptp.compose (tptp.compose X Y) Z)))) (let ((_let_36 (= _let_28 _let_8))) (let ((_let_37 (or _let_31 _let_36))) (let ((_let_38 (_let_18))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (ASSUME :args (_let_14)))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_31 _let_36 (not _let_37)))) _let_40 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.compose X Y)))) :args _let_38))) _let_39 :args (_let_37 false _let_18)) :args (_let_36 false _let_14 false _let_37)))) (let ((_let_42 (ASSUME :args (_let_11)))) (let ((_let_43 (not _let_36))) (let ((_let_44 (and _let_11 _let_36))) (let ((_let_45 (_let_11 _let_36))) (let ((_let_46 (ASSUME :args (_let_36)))) (let ((_let_47 (SYMM (SYMM _let_46)))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_44)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_42 _let_46) (SCOPE (TRANS _let_47 (SYMM (SYMM _let_42))) :args _let_45)) :args _let_45)) :args (true _let_44)) :args ((or (not _let_11) _let_29 _let_43))) _let_42 _let_41 :args (_let_29 false _let_11 false _let_36)))) (let ((_let_49 (= _let_28 _let_7))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_31 _let_50 _let_25))) (let ((_let_52 (ASSUME :args (_let_9)))) (let ((_let_53 (and _let_9 _let_36))) (let ((_let_54 (_let_9 _let_36))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_53)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_52 _let_46) (SCOPE (TRANS _let_47 (SYMM (SYMM _let_52))) :args _let_54)) :args _let_54)) :args (true _let_53)) :args ((or (not _let_9) _let_49 _let_43))) _let_52 _let_41 :args (_let_49 false _let_9 false _let_36)))) (let ((_let_56 (= _let_23 _let_20))) (let ((_let_57 (not _let_26))) (let ((_let_58 (tptp.domain _let_20))) (let ((_let_59 (= _let_13 _let_58))) (let ((_let_60 (not _let_59))) (let ((_let_61 (tptp.domain _let_23))) (let ((_let_62 (= _let_13 _let_61))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_63 _let_60 _let_57 _let_56))) (let ((_let_65 (forall ((X $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.codomain tptp.a))) (or (not (= _let_1 (tptp.domain X))) (not (= _let_1 (tptp.domain Z))) (not (= (tptp.compose tptp.a X) (tptp.compose tptp.a Z))) (= X Z)))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (not _let_56))) (let ((_let_68 (or _let_30 _let_50 _let_67 _let_1))) (let ((_let_69 (forall ((X $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.codomain tptp.b))) (or (not (= _let_1 (tptp.domain X))) (not (= _let_1 (tptp.domain Z))) (not (= (tptp.compose tptp.b X) (tptp.compose tptp.b Z))) (= X Z)))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (= _let_12 _let_58))) (let ((_let_72 (or _let_30 _let_71))) (let ((_let_73 (_let_19))) (let ((_let_74 (ASSUME :args _let_73))) (let ((_let_75 ((tptp.compose X Y)))) (let ((_let_76 (and _let_14 _let_71))) (let ((_let_77 (ASSUME :args (_let_71)))) (let ((_let_78 (SYMM (SYMM _let_40)))) (let ((_let_79 (= _let_12 _let_61))) (let ((_let_80 (or _let_50 _let_79))) (let ((_let_81 (and _let_14 _let_79))) (let ((_let_82 (ASSUME :args (_let_79)))) (let ((_let_83 (ASSUME :args (_let_57)))) (let ((_let_84 (ASSUME :args (_let_22)))) (let ((_let_85 (SYMM _let_27))) (let ((_let_86 (SYMM _let_85))) (let ((_let_87 (ASSUME :args (_let_25)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_83 _let_87 _let_27 _let_84) :args (_let_6 _let_25 _let_22 _let_57)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (TRANS (SYMM (TRANS _let_86 (SYMM (SYMM _let_87)))) _let_86 (TRANS _let_85 (SYMM (SYMM _let_84)))))) (FALSE_INTRO _let_83))) :args (_let_57 _let_25 _let_6 _let_22)) :args ((not (and _let_6 _let_25 _let_22 _let_57)) SB_LITERAL))) (CONG (REFL :args ((not _let_6))) (REFL :args ((not _let_25))) (REFL :args ((not _let_22))) (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_26))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_63 _let_60 _let_56 _let_57 (not _let_64)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_81)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_82 _let_40) (SCOPE (TRANS _let_78 (SYMM (SYMM _let_82))) :args (_let_79 _let_14))) :args (_let_14 _let_79))) :args (true _let_81)) :args ((or _let_31 _let_62 (not _let_79)))) _let_40 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_50 _let_79 (not _let_80)))) _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.b tptp.g QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_73))) _let_74 :args (_let_80 false _let_19)) :args (_let_79 false _let_49 false _let_80)) :args (_let_62 false _let_14 false _let_79)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_76)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_77 _let_40) (SCOPE (TRANS _let_78 (SYMM (SYMM _let_77))) :args (_let_71 _let_14))) :args (_let_14 _let_71))) :args (true _let_76)) :args ((or _let_31 _let_59 (not _let_71)))) _let_40 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_30 _let_71 (not _let_72)))) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.b tptp.h QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_73))) _let_74 :args (_let_72 false _let_19)) :args (_let_71 false _let_29 false _let_72)) :args (_let_59 false _let_14 false _let_71)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_1 _let_50 _let_30 _let_67 (not _let_68)))) (ASSUME :args (_let_2)) _let_55 _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.h tptp.g QUANTIFIERS_INST_E_MATCHING ((tptp.domain X) (tptp.domain Z)))) :args (_let_69)))) _let_70 :args (_let_68 false _let_69)) :args (_let_67 true _let_1 false _let_49 false _let_29 false _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_23 _let_20 QUANTIFIERS_INST_E_MATCHING ((tptp.domain Z) (tptp.compose tptp.a X)))) :args (_let_65))) _let_66 :args (_let_64 false _let_65)) :args (_let_57 false _let_62 false _let_59 true _let_56 false _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_31 _let_50 _let_25 (not _let_51)))) _let_40 _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.a tptp.b tptp.g QUANTIFIERS_INST_E_MATCHING _let_35)) :args _let_33))) _let_34 :args (_let_51 false _let_17)) :args (_let_25 false _let_14 false _let_49 false _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_31 _let_30 _let_22 (not _let_32)))) _let_40 _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.a tptp.b tptp.h QUANTIFIERS_INST_E_MATCHING _let_35)) :args _let_33))) _let_34 :args (_let_32 false _let_17)) :args (_let_22 false _let_14 false _let_29 false _let_32)) _let_27 :args (false true _let_26 false _let_25 false _let_22 false _let_6)) :args ((forall ((X $$unsorted)) (let ((_let_1 (tptp.domain X))) (= (tptp.codomain _let_1) _let_1))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.codomain X))) (= (tptp.domain _let_1) _let_1))) (forall ((X $$unsorted)) (= (tptp.compose (tptp.domain X) X) X)) (forall ((X $$unsorted)) (= (tptp.compose X (tptp.codomain X)) X)) _let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_11 _let_9 _let_6 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.57 )
% 0.21/0.58 % SZS output end Proof for CAT004-2
% 0.21/0.58 % cvc5---1.0.5 exiting
% 0.21/0.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------