TSTP Solution File: CAT012-3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : CAT012-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 18:14:34 EDT 2023
% Result : Unsatisfiable 0.20s 0.50s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT012-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n009.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 : Sun Aug 27 00:02:05 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.47 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.piEq8qcRS8/cvc5---1.0.5_8690.p...
% 0.20/0.48 ------- get file name : TPTP file name is CAT012-3
% 0.20/0.48 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_8690.smt2...
% 0.20/0.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.50 % SZS status Unsatisfiable for CAT012-3
% 0.20/0.50 % SZS output start Proof for CAT012-3
% 0.20/0.50 (
% 0.20/0.50 (let ((_let_1 (tptp.domain tptp.a))) (let ((_let_2 (tptp.codomain _let_1))) (let ((_let_3 (not (= _let_2 _let_1)))) (let ((_let_4 (tptp.there_exists _let_1))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.compose X (tptp.domain X)) X)))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.there_exists (tptp.compose X Y))) (= (tptp.domain X) (tptp.codomain Y)))))) (let ((_let_7 (forall ((X $$unsorted)) (or (not (tptp.there_exists (tptp.domain X))) (tptp.there_exists X))))) (let ((_let_8 (= _let_1 _let_2))) (let ((_let_9 (tptp.compose tptp.a _let_1))) (let ((_let_10 (tptp.there_exists _let_9))) (let ((_let_11 (not _let_10))) (let ((_let_12 (or _let_11 _let_8))) (let ((_let_13 (_let_6))) (let ((_let_14 (ASSUME :args _let_13))) (let ((_let_15 (not _let_12))) (let ((_let_16 (= tptp.a _let_9))) (let ((_let_17 (tptp.there_exists tptp.a))) (let ((_let_18 (forall ((X $$unsorted)) (= X (tptp.compose X (tptp.domain X)))))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (not _let_4))) (let ((_let_21 (or _let_20 _let_17))) (let ((_let_22 (_let_7))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (and _let_17 _let_16))) (let ((_let_25 (_let_17 _let_16))) (let ((_let_26 (ASSUME :args (_let_17)))) (let ((_let_27 (ASSUME :args (_let_16)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.compose X Y)))) :args _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_8 _let_11 _let_15))) (SYMM (ASSUME :args (_let_3))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_24)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_26 _let_27) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_27) :args (APPLY_UF tptp.there_exists)) (TRUE_INTRO _let_26))) :args _let_25)) :args _let_25)) :args (true _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_17 (not _let_21)))) (ASSUME :args (_let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.domain X)))) :args _let_22)) _let_23 :args (_let_21 false _let_7)) :args (_let_17 false _let_4 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.domain X)))) :args (_let_18))) _let_19 :args (_let_16 false _let_18)) :args (_let_10 false _let_17 false _let_16)) :args (_let_15 true _let_8 false _let_10)) _let_14 :args (false true _let_12 false _let_6)) :args ((forall ((X $$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 $$unsorted)) (or (not (tptp.there_exists X)) (not (= X Y)) (tptp.equivalent X Y))) _let_7 (forall ((X $$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)))) _let_6 (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))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.compose X (tptp.compose Y Z)) (tptp.compose (tptp.compose X Y) Z))) _let_5 (forall ((X $$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)))) _let_4 _let_3))))))))))))))))))))))))))))))
% 0.20/0.50 )
% 0.20/0.51 % SZS output end Proof for CAT012-3
% 0.20/0.51 % cvc5---1.0.5 exiting
% 0.20/0.51 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------