%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP028-2 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 10:16:25 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.45s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 5 unt; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 0 con; 1-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X0,X4,X5)
| product(X2,X3,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP002-0.ax',associativity2) ).
fof(f5,axiom,
! [X0,X1] : product(left_solution(X0,X1),X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_soln) ).
fof(f6,axiom,
! [X0,X1] : product(X0,right_solution(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_soln) ).
fof(f7,negated_conjecture,
! [X0] : ~ product(not_identity(X0),X0,not_identity(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_a_right_identity) ).
fof(f16,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(left_solution(X0,X3),X2,X4)
| ~ product(X0,X1,X2)
| product(X3,X1,X4) ),
inference(resolution,[],[f4,f5]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X0)
| product(X2,X1,X2) ),
inference(resolution,[],[f16,f5]) ).
fof(f37,plain,
! [X0,X1] : product(X0,right_solution(X1,X1),X0),
inference(resolution,[],[f34,f6]) ).
fof(f52,plain,
$false,
inference(resolution,[],[f37,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP028-2 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n026.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 09:17:41 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.12/0.45 % (2559570)Will run a generic schedule for satisfiability detection.
% 0.12/0.45 % (2559580)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3662847115:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.45 % (2559580) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2559570-2559580"...
% 0.12/0.45 % (2559576)% WARNING: option uhcvi not known.
% 0.12/0.45 % (2559580)...printing done.
% 0.12/0.45 % (2559580)Refutation found. Thanks to Tanya!
% 0.12/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.45 % (2559580)------------------------------
% 0.12/0.45 % (2559580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.45 % (2559580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.45 % (2559580)CaDiCaL version: 2.1.3
% 0.12/0.45 % (2559580)Termination reason: Refutation
% 0.12/0.45 % (2559580)Time elapsed: 0.001 s
% 0.12/0.45 % (2559580)Peak memory usage: 11 MB
% 0.12/0.45 % (2559580)Instructions burned: 2 (million)
% 0.12/0.45 % (2559570)Success in time 0.03 s
% 0.12/0.45 % Vampire exiting
%------------------------------------------------------------------------------