TSTP Solution File: CAT002-3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : CAT002-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.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 18:14:27 EDT 2023
% Result : Unsatisfiable 0.20s 0.55s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : CAT002-3 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 00:27:08 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.f1NXXjkOSw/cvc5---1.0.5_917.p...
% 0.20/0.51 ------- get file name : TPTP file name is CAT002-3
% 0.20/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_917.smt2...
% 0.20/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.55 % SZS status Unsatisfiable for CAT002-3
% 0.20/0.55 % SZS output start Proof for CAT002-3
% 0.20/0.56 (
% 0.20/0.56 (let ((_let_1 (not (= tptp.g tptp.h)))) (let ((_let_2 (tptp.compose tptp.a tptp.b))) (let ((_let_3 (tptp.compose _let_2 tptp.g))) (let ((_let_4 (tptp.compose _let_2 tptp.h))) (let ((_let_5 (= _let_4 _let_3))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.compose tptp.b X) Y)) (not (= (tptp.compose tptp.b Z) Y)) (= X Z))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.compose tptp.a X) Y)) (not (= (tptp.compose tptp.a Z) Y)) (= X Z))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.compose X (tptp.compose Y Z)) (tptp.compose (tptp.compose X Y) Z))))) (let ((_let_9 (tptp.compose tptp.b tptp.g))) (let ((_let_10 (tptp.compose tptp.a _let_9))) (let ((_let_11 (= _let_3 _let_10))) (let ((_let_12 (tptp.compose tptp.b tptp.h))) (let ((_let_13 (tptp.compose tptp.a _let_12))) (let ((_let_14 (= _let_4 _let_13))) (let ((_let_15 (= _let_10 _let_13))) (let ((_let_16 (ASSUME :args (_let_5)))) (let ((_let_17 (_let_8))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 ((tptp.compose (tptp.compose X Y) Z)))) (let ((_let_20 (= _let_9 _let_12))) (let ((_let_21 (not _let_15))) (let ((_let_22 (or _let_21 _let_20))) (let ((_let_23 (forall ((X $$unsorted) (Z $$unsorted)) (or (not (= (tptp.compose tptp.a X) (tptp.compose tptp.a Z))) (= X Z))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (= tptp.h tptp.g))) (let ((_let_26 (not _let_20))) (let ((_let_27 (or _let_26 _let_25))) (let ((_let_28 (forall ((X $$unsorted) (Z $$unsorted)) (or (not (= (tptp.compose tptp.b X) (tptp.compose tptp.b Z))) (= X Z))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (ASSUME :args (_let_21)))) (let ((_let_31 (ASSUME :args (_let_14)))) (let ((_let_32 (SYMM _let_16))) (let ((_let_33 (SYMM _let_32))) (let ((_let_34 (ASSUME :args (_let_11)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_30 _let_34 _let_16 _let_31) :args (_let_5 _let_11 _let_14 _let_21)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (TRANS (SYMM (TRANS _let_33 (SYMM (SYMM _let_34)))) _let_33 (TRANS _let_32 (SYMM (SYMM _let_31)))))) (FALSE_INTRO _let_30))) :args (_let_21 _let_11 _let_5 _let_14)) :args ((not (and _let_5 _let_11 _let_14 _let_21)) SB_LITERAL))) (CONG (REFL :args ((not _let_5))) (REFL :args ((not _let_11))) (REFL :args ((not _let_14))) (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_15))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_20 _let_21 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_25 _let_26 (not _let_27)))) (SYMM (ASSUME :args (_let_1))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.g tptp.h QUANTIFIERS_INST_E_MATCHING ((tptp.compose tptp.b X) (tptp.compose tptp.b Z)))) :args (_let_28)))) _let_29 :args (_let_27 false _let_28)) :args (_let_26 true _let_25 false _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_9 _let_12 QUANTIFIERS_INST_E_MATCHING ((tptp.compose tptp.a X) (tptp.compose tptp.a Z)))) :args (_let_23))) _let_24 :args (_let_22 false _let_23)) :args (_let_21 true _let_20 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.a tptp.b tptp.h QUANTIFIERS_INST_E_MATCHING _let_19)) :args _let_17))) _let_18 :args (_let_14 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.a tptp.b tptp.g QUANTIFIERS_INST_E_MATCHING _let_19)) :args _let_17))) _let_18 :args (_let_11 false _let_8)) _let_16 :args (false true _let_15 false _let_14 false _let_11 false _let_5)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.equivalent X Y)) (tptp.there_exists X))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.equivalent X Y)) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.there_exists X)) (not (= X Y)) (tptp.equivalent X Y))) (forall ((X $$unsorted)) (or (not (tptp.there_exists (tptp.domain X))) (tptp.there_exists X))) (forall ((X $$unsorted)) (or (not (tptp.there_exists (tptp.codomain X))) (tptp.there_exists X))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.there_exists (tptp.compose X Y))) (tptp.there_exists (tptp.domain X)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.there_exists (tptp.compose X Y))) (= (tptp.domain X) (tptp.codomain Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.domain X))) (or (not (tptp.there_exists _let_1)) (not (= _let_1 (tptp.codomain Y))) (tptp.there_exists (tptp.compose X Y))))) _let_8 (forall ((X $$unsorted)) (= (tptp.compose X (tptp.domain X)) X)) (forall ((X $$unsorted)) (= (tptp.compose (tptp.codomain X) X) X)) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.equivalent X Y)) (tptp.there_exists Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.there_exists X)) (not (tptp.there_exists Y)) (not (= X Y)) (tptp.equivalent X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.there_exists (tptp.compose X Y))) (tptp.there_exists (tptp.codomain X)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.there_exists (tptp.f1 X Y)) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.f1 X Y))) (or (= X _let_1) (= Y _let_1) (= X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.f1 X Y))) (or (not (= X _let_1)) (not (= Y _let_1)) (= X Y)))) (tptp.there_exists _let_2) _let_7 _let_6 (tptp.there_exists tptp.h) _let_5 _let_1)))))))))))))))))))))))))))))))))))))
% 0.20/0.56 )
% 0.20/0.56 % SZS output end Proof for CAT002-3
% 0.20/0.56 % cvc5---1.0.5 exiting
% 0.20/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------