TSTP Solution File: CAT017-4 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : CAT017-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n027.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 18:14:37 EDT 2023

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : CAT017-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n027.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   : Sun Aug 27 00:36:35 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Ufk7k7DzW5/cvc5---1.0.5_22907.p...
% 0.20/0.50  ------- get file name : TPTP file name is CAT017-4
% 0.20/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22907.smt2...
% 0.20/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53  % SZS status Unsatisfiable for CAT017-4
% 0.20/0.53  % SZS output start Proof for CAT017-4
% 0.20/0.53  (
% 0.20/0.53  (let ((_let_1 (tptp.codomain tptp.a))) (let ((_let_2 (tptp.there_exists _let_1))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.there_exists tptp.a))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.compose (tptp.codomain X) X) X)))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.there_exists (tptp.compose X Y))) (= (tptp.domain X) (tptp.codomain Y)))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.there_exists (tptp.compose X Y))) (tptp.there_exists (tptp.domain X)))))) (let ((_let_8 (tptp.domain _let_1))) (let ((_let_9 (tptp.there_exists _let_8))) (let ((_let_10 (= _let_1 _let_8))) (let ((_let_11 (ASSUME :args (_let_3)))) (let ((_let_12 (tptp.compose _let_1 tptp.a))) (let ((_let_13 (tptp.there_exists _let_12))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_9))) (let ((_let_16 (_let_7))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (= tptp.a _let_12))) (let ((_let_19 (forall ((X $$unsorted)) (= X (tptp.compose (tptp.codomain X) X))))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (ASSUME :args (_let_4)))) (let ((_let_22 (and _let_4 _let_18))) (let ((_let_23 (_let_4 _let_18))) (let ((_let_24 (APPLY_UF tptp.there_exists))) (let ((_let_25 (ASSUME :args (_let_18)))) (let ((_let_26 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_22)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_21 _let_25) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_25) :args _let_24) (TRUE_INTRO _let_21))) :args _let_23)) :args _let_23)) :args (true _let_22)) _let_21 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.codomain X)))) :args (_let_19))) _let_20 :args (_let_18 false _let_19)) :args (_let_13 false _let_4 false _let_18)))) (let ((_let_27 (or _let_14 _let_10))) (let ((_let_28 (_let_6))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (ASSUME :args (_let_10)))) (let ((_let_31 (ASSUME :args (_let_9)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_11 _let_30 _let_31) :args (_let_3 _let_9 _let_10)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_31)) (CONG (SYMM _let_30) :args _let_24) (FALSE_INTRO _let_11))) :args (_let_3 _let_10 _let_9)) :args ((not (and _let_3 _let_9 _let_10)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_3) _let_2))) (REFL :args ((not _let_9))) (REFL :args ((not _let_10))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_14 _let_10 (not _let_27)))) _let_26 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_1 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.compose X Y)))) :args _let_28))) _let_29 :args (_let_27 false _let_6)) :args (_let_10 false _let_13 false _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_9 (not _let_15)))) _let_26 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_1 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.compose X Y)))) :args _let_16)) _let_17 :args (_let_15 false _let_7)) :args (_let_9 false _let_13 false _let_15)) _let_11 :args (false false _let_10 false _let_9 true _let_2)) :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))) _let_7 _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 $$unsorted)) (= (tptp.compose X (tptp.compose Y Z)) (tptp.compose (tptp.compose X Y) Z))) (forall ((X $$unsorted)) (= (tptp.compose X (tptp.domain X)) X)) _let_5 _let_4 _let_3))))))))))))))))))))))))))))))))))
% 0.20/0.53  )
% 0.20/0.53  % SZS output end Proof for CAT017-4
% 0.20/0.54  % cvc5---1.0.5 exiting
% 0.20/0.54  % cvc5---1.0.5 exiting
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