%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP033-3 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 10:16:26 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 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 : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f12,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f14,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f19,axiom,
! [X2,X0,X1] :
( ~ subgroup_member(X0)
| ~ subgroup_member(X1)
| ~ product(X0,inverse(X1),X2)
| subgroup_member(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_product_and_inverse) ).
fof(f20,axiom,
subgroup_member(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_in_subgroup) ).
fof(f22,negated_conjecture,
! [X0] :
( ~ subgroup_member(X0)
| ~ product(X0,j(X0),j(X0))
| ~ product(j(X0),X0,j(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subgr2) ).
fof(f111,plain,
! [X0,X1] :
( ~ subgroup_member(X0)
| ~ product(a,inverse(X0),X1)
| subgroup_member(X1) ),
inference(resolution,[],[f19,f20]) ).
fof(f181,plain,
! [X0] :
( ~ product(a,inverse(a),X0)
| subgroup_member(X0) ),
inference(resolution,[],[f111,f20]) ).
fof(f373,plain,
subgroup_member(identity),
inference(resolution,[],[f181,f14]) ).
fof(f379,plain,
( ~ product(identity,j(identity),j(identity))
| ~ product(j(identity),identity,j(identity)) ),
inference(resolution,[],[f373,f22]) ).
fof(f380,plain,
~ product(j(identity),identity,j(identity)),
inference(forward_subsumption_resolution,[],[f379,f11]) ).
fof(f381,plain,
$false,
inference(forward_subsumption_resolution,[],[f380,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP033-3 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n009.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % 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 09:15:29 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.42 Running first-order model finding
% 0.15/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.47 % (1757991)Will run a generic schedule for satisfiability detection.
% 0.15/0.47 % (1758001)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=154021152:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.47 % (1757997)% WARNING: option uhcvi not known.
% 0.15/0.47 % (1758001) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1757991-1758001"...
% 0.15/0.47 % (1758001)...printing done.
% 0.15/0.47 % (1757997)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1912194351:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.47 % (1758000)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1500172513:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.47 % (1757996)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=523566817_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.47 % (1757998)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=872696065:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.47 % (1757999)dis+10_1_sil=32000:sp=arity:random_seed=2727992768:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.47 % (1758002)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1003726902:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.47 % (1758001)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (1758001)------------------------------
% 0.15/0.47 % (1758001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.47 % (1758001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.47 % (1758001)CaDiCaL version: 2.1.3
% 0.15/0.47 % (1758001)Termination reason: Refutation
% 0.15/0.47 % (1758001)Time elapsed: 0.004 s
% 0.15/0.47 % (1758001)Peak memory usage: 11 MB
% 0.15/0.47 % (1758001)Instructions burned: 8 (million)
% 0.15/0.47 % (1757991)Success in time 0.038 s
% 0.15/0.47 % Vampire exiting
%------------------------------------------------------------------------------