%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP034-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:12:11 AM UTC 2026
% Result : Unsatisfiable 3.64s 1.48s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 16 ~; 9 |; 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 : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f7,axiom,
! [X2,X0,X1] :
( subgroup_member(X2)
| ~ subgroup_member(X1)
| ~ product(X1,inverse(X0),X2)
| ~ subgroup_member(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_subgroup) ).
fof(f8,axiom,
subgroup_member(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_in_subgroup) ).
fof(f9,negated_conjecture,
~ subgroup_member(inverse(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_is_in_subgroup) ).
fof(f10,plain,
! [X0,X1] :
( ~ product(X0,inverse(X1),inverse(a))
| ~ subgroup_member(X0)
| ~ subgroup_member(X1) ),
inference(resolution,[],[f7,f9]) ).
fof(f11,plain,
( ~ subgroup_member(identity)
| ~ subgroup_member(a) ),
inference(resolution,[],[f10,f2]) ).
fof(f12,plain,
~ subgroup_member(identity),
inference(forward_subsumption_resolution,[],[f11,f8]) ).
fof(f13,plain,
! [X0,X1] :
( ~ subgroup_member(X0)
| ~ product(X0,inverse(X1),identity)
| ~ subgroup_member(X1) ),
inference(resolution,[],[f12,f7]) ).
fof(f17,plain,
! [X0] :
( ~ subgroup_member(X0)
| ~ product(X0,inverse(X0),identity) ),
inference(factoring,[],[f13]) ).
fof(f18,plain,
! [X0] : ~ subgroup_member(X0),
inference(forward_subsumption_resolution,[],[f17,f4]) ).
fof(f20,plain,
$false,
inference(resolution,[],[f18,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP034-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 09:15:32 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.64/1.48 % (3715686)Input is clausal, will run a generic CNF schedule.
% 3.64/1.48 % (3715774)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2467547302:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.64/1.48 % (3715772)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1285433304:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.64/1.48 % (3715773)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4208178798:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.64/1.48 % (3715776)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1715565181:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.64/1.48 % (3715777)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1506735171:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.64/1.48 % (3715775)lrs+10_1_sil=8000:sp=occurrence:random_seed=1852717551:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.64/1.48 % (3715778)dis-21_1_sil=8000:lcm=predicate:random_seed=1965248996:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.64/1.48 % (3715777)First to succeed.
% 3.64/1.48 % (3715776)Also succeeded, but the first one will report.
% 3.64/1.48 % (3715775)Also succeeded, but the first one will report.
% 3.64/1.48 % (3715777)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3715686"
% 3.64/1.48 % (3715778)Instruction limit reached!
% 3.64/1.48 % (3715778)------------------------------
% 3.64/1.48 % (3715778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.48 % (3715778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.48 % (3715778)CaDiCaL version: 2.1.3
% 3.64/1.48 % (3715778)Termination reason: Instruction limit
% 3.64/1.48 % (3715778)Termination phase: Saturation
% 3.64/1.48 % (3715778)Time elapsed: 0.065 s
% 3.64/1.48 % (3715778)Peak memory usage: 87 MB
% 3.64/1.48 % (3715778)Instructions burned: 117 (million)
% 3.64/1.48 % (3715799)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=811247726:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.64/1.48 % (3715799)Refutation not found, incomplete strategy
% 3.64/1.48 % (3715799)------------------------------
% 3.64/1.48 % (3715799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.48 % (3715799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.48 % (3715799)CaDiCaL version: 2.1.3
% 3.64/1.48 % (3715799)Termination reason: Refutation not found, incomplete strategy
% 3.64/1.48 % (3715799)Time elapsed: 0.001 s
% 3.64/1.48 % (3715799)Peak memory usage: 87 MB
% 3.64/1.48 % (3715777)Refutation found. Thanks to Tanya!
% 3.64/1.48 % SZS status Unsatisfiable for theBenchmark
% 3.64/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 3.64/1.48 % (3715777)------------------------------
% 3.64/1.48 % (3715777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.48 % (3715777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.48 % (3715777)CaDiCaL version: 2.1.3
% 3.64/1.48 % (3715777)Termination reason: Refutation
% 3.64/1.48 % (3715777)Time elapsed: 0.002 s
% 3.64/1.48 % (3715777)Peak memory usage: 87 MB
% 3.64/1.48 % (3715777)Instructions burned: 1 (million)
% 3.64/1.48 % (3715777)------------------------------
% 3.64/1.48 % (3715777)------------------------------
% 3.64/1.48 % (3715686)Success in time 0.436 s
% 3.64/1.48 % Vampire exiting
%------------------------------------------------------------------------------