TSTP Solution File: GRP033-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP033-3 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 : Tue Apr 30 11:50:34 EDT 2024
% Result : Unsatisfiable 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 15 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 14 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f90,plain,
$false,
inference(resolution,[],[f81,f36]) ).
fof(f36,plain,
subgroup_member(j(j(j(j(j(j(j(j(a))))))))),
inference(resolution,[],[f34,f21]) ).
fof(f21,axiom,
! [X4] :
( ~ subgroup_member(X4)
| subgroup_member(j(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subgr2_clause1) ).
fof(f34,plain,
subgroup_member(j(j(j(j(j(j(j(a)))))))),
inference(resolution,[],[f32,f21]) ).
fof(f32,plain,
subgroup_member(j(j(j(j(j(j(a))))))),
inference(resolution,[],[f28,f21]) ).
fof(f28,plain,
subgroup_member(j(j(j(j(j(a)))))),
inference(resolution,[],[f26,f21]) ).
fof(f26,plain,
subgroup_member(j(j(j(j(a))))),
inference(resolution,[],[f25,f21]) ).
fof(f25,plain,
subgroup_member(j(j(j(a)))),
inference(resolution,[],[f24,f21]) ).
fof(f24,plain,
subgroup_member(j(j(a))),
inference(resolution,[],[f23,f21]) ).
fof(f23,plain,
subgroup_member(j(a)),
inference(resolution,[],[f21,f20]) ).
fof(f20,axiom,
subgroup_member(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_in_subgroup) ).
fof(f81,plain,
! [X0] : ~ subgroup_member(X0),
inference(subsumption_resolution,[],[f79,f30]) ).
fof(f30,plain,
~ subgroup_member(identity),
inference(subsumption_resolution,[],[f29,f11]) ).
fof(f11,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f29,plain,
( ~ product(identity,j(identity),j(identity))
| ~ subgroup_member(identity) ),
inference(resolution,[],[f22,f12]) ).
fof(f12,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f22,axiom,
! [X4] :
( ~ product(j(X4),X4,j(X4))
| ~ product(X4,j(X4),j(X4))
| ~ subgroup_member(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subgr2) ).
fof(f79,plain,
! [X0] :
( ~ subgroup_member(X0)
| subgroup_member(identity) ),
inference(duplicate_literal_removal,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ~ subgroup_member(X0)
| subgroup_member(identity)
| ~ subgroup_member(X0) ),
inference(resolution,[],[f19,f14]) ).
fof(f14,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f19,axiom,
! [X8,X4,X5] :
( ~ product(X4,inverse(X5),X8)
| ~ subgroup_member(X4)
| subgroup_member(X8)
| ~ subgroup_member(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_product_and_inverse) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP033-3 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36 % Computer : n013.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Tue Apr 30 04:15:04 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (16852)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (16855)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.13/0.38 % (16856)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.38 % (16859)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.38 % (16854)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 % (16858)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.38 % (16857)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 % (16857)First to succeed.
% 0.13/0.38 % (16853)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 % (16855)Also succeeded, but the first one will report.
% 0.13/0.38 TRYING [1]
% 0.13/0.38 % (16857)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (16857)------------------------------
% 0.13/0.38 % (16857)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38 % (16857)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (16857)Memory used [KB]: 757
% 0.13/0.38 % (16857)Time elapsed: 0.003 s
% 0.13/0.38 % (16857)Instructions burned: 4 (million)
% 0.13/0.38 % (16857)------------------------------
% 0.13/0.38 % (16857)------------------------------
% 0.13/0.38 % (16852)Success in time 0.018 s
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