%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n017.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 10:16:27 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.46s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 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 : 9 ( 9 !; 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] :
( ~ product(X1,inverse(X0),X2)
| ~ subgroup_member(X1)
| ~ subgroup_member(X0)
| subgroup_member(X2) ),
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(f19,plain,
! [X0] :
( ~ subgroup_member(identity)
| ~ subgroup_member(X0)
| subgroup_member(inverse(X0)) ),
inference(resolution,[],[f7,f2]) ).
fof(f20,plain,
! [X0] :
( ~ subgroup_member(X0)
| ~ subgroup_member(X0)
| subgroup_member(identity) ),
inference(resolution,[],[f7,f4]) ).
fof(f22,plain,
! [X0] :
( ~ subgroup_member(X0)
| subgroup_member(identity) ),
inference(duplicate_literal_removal,[],[f20]) ).
fof(f23,plain,
! [X0] :
( subgroup_member(inverse(X0))
| ~ subgroup_member(X0) ),
inference(global_subsumption,[],[f19,f22]) ).
fof(f42,plain,
~ subgroup_member(a),
inference(resolution,[],[f23,f9]) ).
fof(f43,plain,
$false,
inference(forward_subsumption_resolution,[],[f42,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP034-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n017.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 09:11:05 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.46 % (2273977)Will run a generic schedule for satisfiability detection.
% 0.09/0.46 % (2273982)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4078742010_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.46 % TRYING [1]
% 0.09/0.46 % TRYING [2]
% 0.09/0.46 % TRYING [3]
% 0.09/0.46 % TRYING [4]
% 0.09/0.46 % (2273983)% WARNING: option uhcvi not known.
% 0.09/0.46 % TRYING [5]
% 0.09/0.46 % (2273983)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3885689408:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.46 % (2273984)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4097451137:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.46 % (2273985)dis+10_1_sil=32000:sp=arity:random_seed=397040151:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.46 % (2273986)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2130085244:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.46 % (2273988)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3413688543:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.46 % (2273987)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1016256803:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.46 % (2273984) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2273977-2273984"...
% 0.09/0.46 % (2273985) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2273977-2273985"...
% 0.09/0.46 % (2273983) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2273977-2273983"...
% 0.09/0.46 % (2273988) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2273977-2273988"...
% 0.09/0.46 % (2273987) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2273977-2273987"...
% 0.09/0.46 % (2273985)...printing done.
% 0.09/0.46 % (2273984)...printing done.
% 0.09/0.46 % (2273983)...printing done.
% 0.09/0.46 % (2273988)...printing done.
% 0.09/0.46 % (2273987)...printing done.
% 0.09/0.46 % (2273984)Refutation found. Thanks to Tanya!
% 0.09/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.46 % (2273984)------------------------------
% 0.09/0.46 % (2273984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.46 % (2273984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.46 % (2273984)CaDiCaL version: 2.1.3
% 0.09/0.46 % (2273984)Termination reason: Refutation
% 0.09/0.46 % (2273984)Time elapsed: 0.002 s
% 0.09/0.46 % (2273984)Peak memory usage: 11 MB
% 0.09/0.46 % (2273984)Instructions burned: 1 (million)
% 0.09/0.46 % (2273977)Success in time 0.039 s
% 0.09/0.46 % Vampire exiting
%------------------------------------------------------------------------------