TSTP Solution File: CAT001-3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : CAT001-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n021.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 18:14:26 EDT 2023

% Result   : Unsatisfiable 0.20s 0.62s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : CAT001-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n021.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 00:08:57 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.y1H3vSpHpe/cvc5---1.0.5_3134.p...
% 0.20/0.51  ------- get file name : TPTP file name is CAT001-3
% 0.20/0.51  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_3134.smt2...
% 0.20/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.62  % SZS status Unsatisfiable for CAT001-3
% 0.20/0.62  % SZS output start Proof for CAT001-3
% 0.20/0.62  (
% 0.20/0.62  (let ((_let_1 (= tptp.h tptp.g))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.compose tptp.b tptp.g))) (let ((_let_4 (tptp.compose tptp.b tptp.h))) (let ((_let_5 (= _let_4 _let_3))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.compose tptp.a tptp.b))) (or (not (= (tptp.compose _let_1 X) Y)) (not (= (tptp.compose _let_1 Z) Y)) (= X Z)))))) (let ((_let_7 (tptp.compose tptp.a tptp.b))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.compose X (tptp.compose Y Z)) (tptp.compose (tptp.compose X Y) Z))))) (let ((_let_9 (tptp.compose _let_7 tptp.h))) (let ((_let_10 (= (tptp.compose tptp.a _let_4) _let_9))) (let ((_let_11 (tptp.compose _let_7 tptp.g))) (let ((_let_12 (= _let_11 (tptp.compose tptp.a _let_3)))) (let ((_let_13 (= _let_9 _let_11))) (let ((_let_14 (ASSUME :args (_let_5)))) (let ((_let_15 (_let_8))) (let ((_let_16 (ASSUME :args _let_15))) (let ((_let_17 ((tptp.compose X (tptp.compose Y Z))))) (let ((_let_18 (not _let_13))) (let ((_let_19 (or _let_18 _let_1))) (let ((_let_20 (forall ((X $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.compose tptp.a tptp.b))) (or (not (= (tptp.compose _let_1 X) (tptp.compose _let_1 Z))) (= X Z)))))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (and _let_5 _let_10 _let_12))) (let ((_let_23 (ASSUME :args (_let_12)))) (let ((_let_24 (ASSUME :args (_let_10)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_22)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_23 _let_14 _let_24) (SCOPE (TRANS (SYMM _let_24) (CONG (REFL :args (tptp.a)) (SYMM (SYMM _let_14)) :args (APPLY_UF tptp.compose)) (SYMM _let_23)) :args (_let_12 _let_5 _let_10))) :args (_let_5 _let_10 _let_12))) :args (true _let_22)) :args ((or (not _let_5) (not _let_10) _let_13 (not _let_12)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_1 _let_18 (not _let_19)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.h tptp.g QUANTIFIERS_INST_E_MATCHING ((tptp.compose _let_7 X) (tptp.compose _let_7 Z)))) :args (_let_20))) _let_21 :args (_let_19 false _let_20)) :args (_let_18 true _let_1 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_16 :args (tptp.a tptp.b tptp.g QUANTIFIERS_INST_E_MATCHING _let_17)) :args _let_15))) _let_16 :args (_let_12 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (tptp.a tptp.b tptp.h QUANTIFIERS_INST_E_MATCHING _let_17)) :args _let_15)) _let_16 :args (_let_10 false _let_8)) _let_14 :args (false true _let_13 false _let_12 false _let_10 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_7) _let_6 (tptp.there_exists _let_4) _let_5 _let_2)))))))))))))))))))))))))))
% 0.20/0.62  )
% 0.20/0.62  % SZS output end Proof for CAT001-3
% 0.20/0.62  % cvc5---1.0.5 exiting
% 0.20/0.62  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------