TSTP Solution File: GRP032-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP032-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 : Sun May 5 05:52:25 EDT 2024
% Result : Unsatisfiable 0.11s 0.35s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 5 unt; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,plain,
$false,
inference(resolution,[],[f36,f4]) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f36,plain,
~ product(a,inverse(a),identity),
inference(resolution,[],[f31,f10]) ).
fof(f10,axiom,
subgroup_member(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_in_subgroup) ).
fof(f31,plain,
! [X0] :
( ~ subgroup_member(X0)
| ~ product(X0,inverse(a),identity) ),
inference(resolution,[],[f29,f10]) ).
fof(f29,plain,
! [X0,X1] :
( ~ subgroup_member(X1)
| ~ subgroup_member(X0)
| ~ product(X0,inverse(X1),identity) ),
inference(resolution,[],[f9,f11]) ).
fof(f11,axiom,
~ subgroup_member(identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_identity_is_in_subgroup) ).
fof(f9,axiom,
! [X8,X6,X7] :
( subgroup_member(X8)
| ~ subgroup_member(X6)
| ~ subgroup_member(X7)
| ~ product(X6,inverse(X7),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_product_and_inverse) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP032-3 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 20:47:08 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (20631)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (20634)WARNING: value z3 for option sas not known
% 0.11/0.34 % (20632)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (20633)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (20634)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (20635)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (20636)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.34 % (20638)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.34 % (20637)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 % (20637)First to succeed.
% 0.11/0.35 TRYING [3]
% 0.11/0.35 TRYING [1]
% 0.11/0.35 % (20638)Also succeeded, but the first one will report.
% 0.11/0.35 % (20636)Also succeeded, but the first one will report.
% 0.11/0.35 TRYING [1]
% 0.11/0.35 % (20637)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20631"
% 0.11/0.35 % (20634)Also succeeded, but the first one will report.
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 % (20637)Refutation found. Thanks to Tanya!
% 0.11/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.35 % (20637)------------------------------
% 0.11/0.35 % (20637)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.35 % (20637)Termination reason: Refutation
% 0.11/0.35
% 0.11/0.35 % (20637)Memory used [KB]: 794
% 0.11/0.35 % (20637)Time elapsed: 0.003 s
% 0.11/0.35 % (20637)Instructions burned: 3 (million)
% 0.11/0.35 % (20631)Success in time 0.018 s
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