TSTP Solution File: CAT004-4 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : CAT004-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n011.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 0.23s 0.56s
% Output   : Proof 0.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : CAT004-4 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15  % Command    : do_cvc5 %s %d
% 0.16/0.36  % Computer : n011.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Sun Aug 27 00:43:24 EDT 2023
% 0.16/0.36  % CPUTime    : 
% 0.23/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.51  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.llBvkUXbUp/cvc5---1.0.5_18153.p...
% 0.23/0.52  ------- get file name : TPTP file name is CAT004-4
% 0.23/0.52  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_18153.smt2...
% 0.23/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.23/0.56  % SZS status Unsatisfiable for CAT004-4
% 0.23/0.56  % SZS output start Proof for CAT004-4
% 0.23/0.56  (
% 0.23/0.56  (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 tptp.g _let_3))) (let ((_let_5 (tptp.compose tptp.h _let_3))) (let ((_let_6 (= _let_5 _let_4))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.compose X tptp.b) Y)) (not (= (tptp.compose Z tptp.b) Y)) (= X Z))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.compose X tptp.a) Y)) (not (= (tptp.compose Z tptp.a) Y)) (= X Z))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.compose X (tptp.compose Y Z)) (tptp.compose (tptp.compose X Y) Z))))) (let ((_let_10 (tptp.compose tptp.g tptp.a))) (let ((_let_11 (tptp.compose _let_10 tptp.b))) (let ((_let_12 (= _let_4 _let_11))) (let ((_let_13 (tptp.compose tptp.h tptp.a))) (let ((_let_14 (tptp.compose _let_13 tptp.b))) (let ((_let_15 (= _let_5 _let_14))) (let ((_let_16 (= _let_11 _let_14))) (let ((_let_17 (ASSUME :args (_let_6)))) (let ((_let_18 (_let_9))) (let ((_let_19 (ASSUME :args _let_18))) (let ((_let_20 ((tptp.compose X (tptp.compose Y Z))))) (let ((_let_21 (= _let_10 _let_13))) (let ((_let_22 (not _let_16))) (let ((_let_23 (or _let_22 _let_21))) (let ((_let_24 (forall ((X $$unsorted) (Z $$unsorted)) (or (not (= (tptp.compose X tptp.b) (tptp.compose Z tptp.b))) (= X Z))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (not _let_21))) (let ((_let_27 (or _let_26 _let_1))) (let ((_let_28 (forall ((X $$unsorted) (Z $$unsorted)) (or (not (= (tptp.compose X tptp.a) (tptp.compose Z tptp.a))) (= X Z))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (ASSUME :args (_let_22)))) (let ((_let_31 (ASSUME :args (_let_15)))) (let ((_let_32 (SYMM _let_17))) (let ((_let_33 (SYMM _let_32))) (let ((_let_34 (ASSUME :args (_let_12)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_30 _let_34 _let_17 _let_31) :args (_let_6 _let_12 _let_15 _let_22)) (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_22 _let_12 _let_6 _let_15)) :args ((not (and _let_6 _let_12 _let_15 _let_22)) SB_LITERAL))) (CONG (REFL :args ((not _let_6))) (REFL :args ((not _let_12))) (REFL :args ((not _let_15))) (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_16))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_21 _let_22 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_1 _let_26 (not _let_27)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.g tptp.h QUANTIFIERS_INST_E_MATCHING ((tptp.compose X tptp.a) (tptp.compose Z tptp.a)))) :args (_let_28)))) _let_29 :args (_let_27 false _let_28)) :args (_let_26 true _let_1 false _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_10 _let_13 QUANTIFIERS_INST_E_MATCHING ((tptp.compose X tptp.b) (tptp.compose Z tptp.b)))) :args (_let_24))) _let_25 :args (_let_23 false _let_24)) :args (_let_22 true _let_21 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.h tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING _let_20)) :args _let_18)) _let_19 :args (_let_15 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.g tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING _let_20)) :args _let_18)) _let_19 :args (_let_12 false _let_9)) _let_17 :args (false true _let_16 false _let_15 false _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 $$unsorted)) (or (not (tptp.there_exists X)) (not (= X Y)) (tptp.equivalent X Y))) (forall ((X $$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 $$unsorted)) (let ((_let_1 (tptp.domain X))) (or (not (tptp.there_exists _let_1)) (not (= _let_1 (tptp.codomain Y))) (tptp.there_exists (tptp.compose X Y))))) _let_9 (forall ((X $$unsorted)) (= (tptp.compose X (tptp.domain X)) X)) (forall ((X $$unsorted)) (= (tptp.compose (tptp.codomain X) X) X)) (tptp.there_exists _let_3) _let_8 _let_7 (tptp.there_exists tptp.h) _let_6 _let_2)))))))))))))))))))))))))))))))))))))
% 0.23/0.56  )
% 0.23/0.57  % SZS output end Proof for CAT004-4
% 0.23/0.57  % cvc5---1.0.5 exiting
% 0.23/0.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------