TSTP Solution File: CAT003-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : CAT003-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n031.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 18:14:28 EDT 2023
% Result : Unsatisfiable 0.17s 0.53s
% Output : Proof 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : CAT003-2 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 00:40:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.17/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.17/0.48 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.TBpCpYK1fN/cvc5---1.0.5_23504.p...
% 0.17/0.49 ------- get file name : TPTP file name is CAT003-2
% 0.17/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23504.smt2...
% 0.17/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.17/0.53 % SZS status Unsatisfiable for CAT003-2
% 0.17/0.53 % SZS output start Proof for CAT003-2
% 0.17/0.53 (
% 0.17/0.53 (let ((_let_1 (not (= tptp.g tptp.h)))) (let ((_let_2 (tptp.compose tptp.b tptp.g))) (let ((_let_3 (tptp.compose tptp.b tptp.h))) (let ((_let_4 (= _let_3 _let_2))) (let ((_let_5 (tptp.domain tptp.g))) (let ((_let_6 (tptp.codomain tptp.b))) (let ((_let_7 (= _let_6 _let_5))) (let ((_let_8 (tptp.domain tptp.h))) (let ((_let_9 (= _let_6 _let_8))) (let ((_let_10 (= (tptp.codomain tptp.a) (tptp.domain tptp.b)))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.compose tptp.a tptp.b))) (let ((_let_2 (tptp.codomain _let_1))) (or (not (= _let_2 (tptp.domain X))) (not (= (tptp.compose _let_1 X) Y)) (not (= _let_2 (tptp.domain Z))) (not (= (tptp.compose _let_1 Z) Y)) (= X Z))))))) (let ((_let_12 (forall ((X $$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_13 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.codomain X) (tptp.domain Y))) (= (tptp.codomain (tptp.compose X Y)) (tptp.codomain Y)))))) (let ((_let_14 (tptp.compose tptp.a tptp.b))) (let ((_let_15 (tptp.compose _let_14 tptp.h))) (let ((_let_16 (= _let_15 (tptp.compose tptp.a _let_3)))) (let ((_let_17 (tptp.compose _let_14 tptp.g))) (let ((_let_18 (= _let_15 _let_17))) (let ((_let_19 (= _let_17 (tptp.compose tptp.a _let_2)))) (let ((_let_20 (ASSUME :args (_let_4)))) (let ((_let_21 (not _let_9))) (let ((_let_22 (not _let_10))) (let ((_let_23 (or _let_22 _let_21 _let_16))) (let ((_let_24 (_let_12))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (ASSUME :args (_let_9)))) (let ((_let_27 (ASSUME :args (_let_10)))) (let ((_let_28 (= tptp.h tptp.g))) (let ((_let_29 (not _let_18))) (let ((_let_30 (tptp.codomain _let_14))) (let ((_let_31 (= _let_30 _let_5))) (let ((_let_32 (not _let_31))) (let ((_let_33 (= _let_30 _let_8))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32 _let_29 _let_28))) (let ((_let_36 (forall ((X $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.compose tptp.a tptp.b))) (let ((_let_2 (tptp.codomain _let_1))) (or (not (= _let_2 (tptp.domain X))) (not (= _let_2 (tptp.domain Z))) (not (= (tptp.compose _let_1 X) (tptp.compose _let_1 Z))) (= X Z))))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (= _let_30 _let_6))) (let ((_let_39 (or _let_22 _let_38))) (let ((_let_40 (_let_13))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_22 _let_38 (not _let_39)))) _let_27 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.compose X Y)))) :args _let_40)) _let_41 :args (_let_39 false _let_13)) :args (_let_38 false _let_10 false _let_39)))) (let ((_let_43 (ASSUME :args (_let_7)))) (let ((_let_44 (and _let_7 _let_38))) (let ((_let_45 (_let_7 _let_38))) (let ((_let_46 (ASSUME :args (_let_38)))) (let ((_let_47 (SYMM (SYMM _let_46)))) (let ((_let_48 (and _let_9 _let_38))) (let ((_let_49 (_let_9 _let_38))) (let ((_let_50 (not _let_7))) (let ((_let_51 (or _let_22 _let_50 _let_19))) (let ((_let_52 (not _let_19))) (let ((_let_53 (_let_52))) (let ((_let_54 (ASSUME :args (_let_19)))) (let ((_let_55 (ASSUME :args (_let_29)))) (let ((_let_56 (ASSUME :args (_let_16)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_54 (MODUS_PONENS (AND_INTRO _let_56 _let_20 _let_55) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG (REFL :args (tptp.a)) (SYMM _let_20) :args (APPLY_UF tptp.compose)) (SYMM _let_56)) (REFL :args (_let_17)) :args (=)) (FALSE_INTRO _let_55)) :args ((= _let_19 false)))) :args (_let_16 _let_4 _let_29)))) :args (_let_4 _let_16 _let_29 _let_19)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_53))) (TRUE_INTRO (SYMM (SYMM _let_54))))) :args (_let_19 _let_52)) :args ((not (and _let_4 _let_16 _let_29 _let_19)) SB_LITERAL))) (CONG (REFL :args ((not _let_4))) (REFL :args ((not _let_16))) (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_18))) (REFL :args _let_53) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_22 _let_50 _let_19 (not _let_51)))) _let_27 _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.a tptp.b tptp.g QUANTIFIERS_INST_E_MATCHING ((tptp.compose X (tptp.compose Y Z))))) :args _let_24))) _let_25 :args (_let_51 false _let_12)) :args (_let_19 false _let_10 false _let_7 false _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_28 _let_34 _let_32 _let_29 (not _let_35)))) (SYMM (ASSUME :args (_let_1))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_48)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_26 _let_46) (SCOPE (TRANS _let_47 (SYMM (SYMM _let_26))) :args _let_49)) :args _let_49)) :args (true _let_48)) :args ((or _let_21 _let_33 (not _let_38)))) _let_26 _let_42 :args (_let_33 false _let_9 false _let_38)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_44)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_43 _let_46) (SCOPE (TRANS _let_47 (SYMM (SYMM _let_43))) :args _let_45)) :args _let_45)) :args (true _let_44)) _let_43 _let_42 :args (_let_31 false _let_7 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.h tptp.g QUANTIFIERS_INST_E_MATCHING ((tptp.domain X) (tptp.domain Z)))) :args (_let_36))) _let_37 :args (_let_35 false _let_36)) :args (_let_29 true _let_28 false _let_33 false _let_31 false _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_22 _let_21 _let_16 (not _let_23)))) _let_27 _let_26 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.a tptp.b tptp.h QUANTIFIERS_INST_E_MATCHING ((tptp.compose (tptp.compose X Y) Z)))) :args _let_24))) _let_25 :args (_let_23 false _let_12)) :args (_let_16 false _let_10 false _let_9 false _let_23)) _let_20 :args (false false _let_19 true _let_18 false _let_16 false _let_4)) :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)) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.codomain X) (tptp.domain Y))) (= (tptp.domain (tptp.compose X Y)) (tptp.domain X)))) _let_13 _let_12 _let_11 _let_10 _let_9 _let_7 _let_4 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.17/0.53 )
% 0.17/0.53 % SZS output end Proof for CAT003-2
% 0.17/0.54 % cvc5---1.0.5 exiting
% 0.17/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------