TSTP Solution File: CAT012-4 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : CAT012-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n022.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 0.17s 0.48s
% Output   : Proof 0.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : CAT012-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12  % Command    : do_cvc5 %s %d
% 0.11/0.33  % Computer : n022.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Sun Aug 27 00:34:25 EDT 2023
% 0.11/0.33  % CPUTime    : 
% 0.17/0.45  %----Proving TF0_NAR, FOF, or CNF
% 0.17/0.46  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.s26XbzGxny/cvc5---1.0.5_20005.p...
% 0.17/0.46  ------- get file name : TPTP file name is CAT012-4
% 0.17/0.46  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20005.smt2...
% 0.17/0.46  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.17/0.48  % SZS status Unsatisfiable for CAT012-4
% 0.17/0.48  % SZS output start Proof for CAT012-4
% 0.17/0.48  (
% 0.17/0.48  (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)) _let_4 _let_3))))))))))))))))))))))))))))))
% 0.17/0.48  )
% 0.17/0.48  % SZS output end Proof for CAT012-4
% 0.17/0.48  % cvc5---1.0.5 exiting
% 0.17/0.48  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------