TSTP Solution File: LAT039-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT039-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n016.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 : Thu Aug 31 06:02:42 EDT 2023

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LAT039-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n016.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   : Thu Aug 24 10:05:23 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.cNIw5RgXRJ/cvc5---1.0.5_2794.p...
% 0.21/0.49  ------- get file name : TPTP file name is LAT039-1
% 0.21/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2794.smt2...
% 0.21/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.52  % SZS status Unsatisfiable for LAT039-1
% 0.21/0.52  % SZS output start Proof for LAT039-1
% 0.21/0.52  (
% 0.21/0.52  (let ((_let_1 (tptp.join tptp.xx tptp.zz))) (let ((_let_2 (tptp.join tptp.xx (tptp.meet tptp.yy tptp.zz)))) (let ((_let_3 (= _let_2 (tptp.meet tptp.yy _let_1)))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.join tptp.xx tptp.yy))) (let ((_let_6 (= _let_5 tptp.yy))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join X (tptp.meet Y Z)) (tptp.meet (tptp.join X Y) (tptp.join X Z)))))) (let ((_let_8 (= _let_2 (tptp.meet _let_5 _let_1)))) (let ((_let_9 (_let_7))) (let ((_let_10 (ASSUME :args _let_9))) (let ((_let_11 (= tptp.yy _let_5))) (let ((_let_12 (not _let_8))) (let ((_let_13 (SYMM (ASSUME :args (_let_6))))) (let ((_let_14 (ASSUME :args (_let_4)))) (let ((_let_15 (and _let_4 _let_11))) (let ((_let_16 (_let_4 _let_11))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_10 :args (tptp.xx tptp.yy tptp.zz QUANTIFIERS_INST_E_MATCHING ((tptp.join X (tptp.meet Y Z))))) :args _let_9)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_15)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_14 _let_13) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (_let_2)) (CONG (SYMM _let_13) (REFL :args (_let_1)) :args (APPLY_UF tptp.meet)) :args (=)) (FALSE_INTRO _let_14))) :args _let_16)) :args _let_16)) :args (true _let_15)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) (REFL :args ((not _let_11))) (REFL :args (_let_12)) :args (or))) _let_14 _let_13 :args (_let_12 true _let_3 false _let_11)) _let_10 :args (false true _let_8 false _let_7)) :args ((forall ((X $$unsorted)) (= (tptp.meet X X) X)) (forall ((X $$unsorted)) (= (tptp.join X X) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) _let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet X (tptp.join Y Z)) (tptp.join (tptp.meet X Y) (tptp.meet X Z)))) _let_6 _let_4)))))))))))))))))))
% 0.21/0.52  )
% 0.21/0.52  % SZS output end Proof for LAT039-1
% 0.21/0.52  % cvc5---1.0.5 exiting
% 0.21/0.52  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------