%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP036-3 : 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 : 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 10:16:27 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 12 unt; 1 def)
% Number of atoms : 36 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 20 ~; 13 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 17 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',left_identity) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_inverse) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',total_function2) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ product(X0,inverse(X1),X2)
| ~ subgroup_member(X1)
| ~ subgroup_member(X0)
| subgroup_member(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-2.ax',closure_of_product_and_inverse) ).
fof(f11,axiom,
! [X0] :
( product(X0,another_identity,X0)
| ~ subgroup_member(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',another_right_identity) ).
fof(f15,axiom,
subgroup_member(another_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',another_identity_in_subgroup) ).
fof(f16,negated_conjecture,
identity != another_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_identity_equals_another_identity) ).
fof(f18,definition,
( spl0_1
<=> ! [X0] : ~ subgroup_member(X0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f19,plain,
( ! [X0] : ~ subgroup_member(X0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f23,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f19,f15]) ).
fof(f27,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f23]) ).
fof(f46,plain,
! [X0,X1] :
( ~ product(identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f6,f1]) ).
fof(f206,plain,
( identity = another_identity
| ~ subgroup_member(identity) ),
inference(resolution,[],[f46,f11]) ).
fof(f211,plain,
~ subgroup_member(identity),
inference(forward_subsumption_resolution,[],[f206,f16]) ).
fof(f740,plain,
! [X0] :
( ~ subgroup_member(X0)
| ~ subgroup_member(X0)
| subgroup_member(identity) ),
inference(resolution,[],[f9,f4]) ).
fof(f745,plain,
! [X0] :
( ~ subgroup_member(X0)
| subgroup_member(identity) ),
inference(duplicate_literal_removal,[],[f740]) ).
fof(f746,plain,
! [X0] : ~ subgroup_member(X0),
inference(forward_subsumption_resolution,[],[f745,f211]) ).
fof(f751,plain,
spl0_1,
inference(avatar_split_clause,[],[f746,f18]) ).
cnf(s25,plain,
~ spl0_1,
inference(sat_conversion,[],[f27]) ).
cnf(s440,plain,
spl0_1,
inference(sat_conversion,[],[f751]) ).
cnf(s442,plain,
$false,
inference(rat,[],[s25,s440]) ).
fof(f752,plain,
$false,
inference(avatar_sat_refutation,[],[s442]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP036-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n009.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 09:15:45 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.17/0.46 % (1758896)Will run a generic schedule for satisfiability detection.
% 0.17/0.46 % (1758908)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2123408534:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.46 % (1758907)% WARNING: option uhcvi not known.
% 0.17/0.46 % (1758908) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1758896-1758908"...
% 0.17/0.46 % (1758909)dis+10_1_sil=32000:sp=arity:random_seed=3626581262:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.46 % (1758908)...printing done.
% 0.17/0.46 % (1758906)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3405355017_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.46 % (1758912)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3116131112:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.46 % (1758908)Refutation found. Thanks to Tanya!
% 0.17/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.46 % (1758908)------------------------------
% 0.17/0.46 % (1758908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.46 % (1758908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.46 % (1758908)CaDiCaL version: 2.1.3
% 0.17/0.46 % (1758908)Termination reason: Refutation
% 0.17/0.46 % (1758908)Time elapsed: 0.008 s
% 0.17/0.46 % (1758908)Peak memory usage: 12 MB
% 0.17/0.46 % (1758908)Instructions burned: 17 (million)
% 0.17/0.46 % (1758896)Success in time 0.029 s
% 0.17/0.46 % Vampire exiting
%------------------------------------------------------------------------------