TSTP Solution File: GRP038-3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP038-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n002.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 00:24:08 EDT 2023

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GRP038-3 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n002.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   : Tue Aug 29 01:26:20 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.dcqhutB5Im/cvc5---1.0.5_5089.p...
% 0.20/0.50  ------- get file name : TPTP file name is GRP038-3
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5089.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.52  % SZS status Unsatisfiable for GRP038-3
% 0.20/0.52  % SZS output start Proof for GRP038-3
% 0.20/0.52  (
% 0.20/0.52  (let ((_let_1 (tptp.subgroup_member tptp.c))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.product tptp.a (tptp.inverse tptp.b) tptp.c))) (let ((_let_4 (tptp.subgroup_member tptp.b))) (let ((_let_5 (tptp.subgroup_member tptp.a))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.subgroup_member A)) (not (tptp.subgroup_member B)) (not (tptp.product A (tptp.inverse B) C)) (tptp.subgroup_member C))))) (let ((_let_7 (not _let_3))) (let ((_let_8 (not _let_4))) (let ((_let_9 (not _let_5))) (let ((_let_10 (or _let_9 _let_8 _let_7 _let_1))) (let ((_let_11 (_let_6))) (let ((_let_12 (ASSUME :args _let_11))) (let ((_let_13 (not _let_10))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (tptp.a tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product A (tptp.inverse B) C) false))))) :args _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_10)) :args ((or _let_1 _let_9 _let_8 _let_7 _let_13))) (ASSUME :args (_let_2)) (ASSUME :args (_let_5)) (ASSUME :args (_let_4)) (ASSUME :args (_let_3)) :args (_let_13 true _let_1 false _let_5 false _let_4 false _let_3)) _let_12 :args (false true _let_10 false _let_6)) :args ((forall ((X $$unsorted)) (tptp.product tptp.identity X X)) (forall ((X $$unsorted)) (tptp.product X tptp.identity X)) (forall ((X $$unsorted)) (tptp.product (tptp.inverse X) X tptp.identity)) (forall ((X $$unsorted)) (tptp.product X (tptp.inverse X) tptp.identity)) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.product X Y (tptp.multiply X Y))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y Z)) (not (tptp.product X Y W)) (= Z W))) (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product U Z W)) (tptp.product X V W))) (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product X V W)) (tptp.product U Z W))) _let_6 (forall ((A $$unsorted)) (or (not (tptp.subgroup_member A)) (tptp.subgroup_member (tptp.inverse A)))) (tptp.subgroup_member tptp.identity) _let_5 _let_4 _let_3 _let_2))))))))))))))))
% 0.20/0.52  )
% 0.20/0.53  % SZS output end Proof for GRP038-3
% 0.20/0.53  % cvc5---1.0.5 exiting
% 0.20/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------