%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP034-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 0.11s 0.47s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 11 unt; 2 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 44 ( 24 ~; 18 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',left_identity) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_inverse) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ product(X0,inverse(X1),X2)
| ~ subgroup_member(X1)
| ~ subgroup_member(X0)
| subgroup_member(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-2.ax',closure_of_product_and_inverse) ).
fof(f10,axiom,
subgroup_member(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_in_subgroup) ).
fof(f11,negated_conjecture,
~ subgroup_member(inverse(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_inverse_is_in_subgroup) ).
fof(f102,definition,
( spl0_4
<=> ! [X0] : ~ subgroup_member(X0) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f103,plain,
( ! [X0] : ~ subgroup_member(X0)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f110,plain,
! [X0] :
( ~ subgroup_member(X0)
| ~ subgroup_member(identity)
| subgroup_member(inverse(X0)) ),
inference(resolution,[],[f9,f1]) ).
fof(f112,plain,
! [X0] :
( ~ subgroup_member(X0)
| ~ subgroup_member(X0)
| subgroup_member(identity) ),
inference(resolution,[],[f9,f4]) ).
fof(f115,plain,
! [X0] :
( ~ subgroup_member(X0)
| subgroup_member(identity) ),
inference(duplicate_literal_removal,[],[f112]) ).
fof(f116,plain,
! [X0] :
( ~ subgroup_member(X0)
| subgroup_member(identity) ),
inference(global_subsumption,[],[f115]) ).
fof(f117,plain,
( $false
| ~ spl0_4 ),
inference(resolution,[],[f103,f10]) ).
fof(f118,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f117]) ).
fof(f131,definition,
( spl0_7
<=> subgroup_member(identity) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f133,plain,
( subgroup_member(identity)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f134,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f116,f102,f131]) ).
fof(f151,plain,
( ! [X0] :
( subgroup_member(inverse(X0))
| ~ subgroup_member(X0) )
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f110,f133]) ).
fof(f155,plain,
( ~ subgroup_member(a)
| ~ spl0_7 ),
inference(resolution,[],[f151,f11]) ).
fof(f157,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f155,f10]) ).
fof(f158,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f157]) ).
cnf(s91,plain,
~ spl0_4,
inference(sat_conversion,[],[f118]) ).
cnf(s101,plain,
( spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f134]) ).
cnf(s115,plain,
~ spl0_7,
inference(sat_conversion,[],[f158]) ).
cnf(s116,plain,
spl0_4,
inference(rat,[],[s101,s115]) ).
cnf(s117,plain,
$false,
inference(rat,[],[s91,s116]) ).
fof(f159,plain,
$false,
inference(avatar_sat_refutation,[],[s117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP034-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n016.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
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 09:20:31 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.11/0.47 % (2356263)Will run a generic schedule for satisfiability detection.
% 0.11/0.47 % (2356278)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=687766899:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.47 % (2356278) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2356263-2356278"...
% 0.11/0.47 % (2356277)% WARNING: option uhcvi not known.
% 0.11/0.47 % (2356278)...printing done.
% 0.11/0.47 % (2356277)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3977735436:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.47 % (2356279)dis+10_1_sil=32000:sp=arity:random_seed=1584913091:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.47 % (2356278)Refutation found. Thanks to Tanya!
% 0.11/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.47 % (2356278)------------------------------
% 0.11/0.47 % (2356278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.47 % (2356278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.47 % (2356278)CaDiCaL version: 2.1.3
% 0.11/0.47 % (2356278)Termination reason: Refutation
% 0.11/0.47 % (2356278)Time elapsed: 0.002 s
% 0.11/0.47 % (2356278)Peak memory usage: 12 MB
% 0.11/0.47 % (2356278)Instructions burned: 3 (million)
% 0.11/0.47 % (2356263)Success in time 0.037 s
% 0.11/0.47 % Vampire exiting
%------------------------------------------------------------------------------