%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP028-1 : 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 : n005.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 0.09s 0.43s
% Output : Refutation 0.09s
% 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 : 16 ( 10 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 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 : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f2,axiom,
! [X0,X1] : product(left_solution(X0,X1),X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_soln) ).
fof(f3,axiom,
! [X0,X1] : product(X0,right_solution(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_soln) ).
fof(f4,negated_conjecture,
! [X0] : ~ product(not_identity(X0),X0,not_identity(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_a_right_identity) ).
fof(f14,plain,
! [X2,X3,X0,X1] :
( ~ product(X1,X2,not_identity(X0))
| ~ product(X2,X0,X3)
| ~ product(X1,X3,not_identity(X0)) ),
inference(resolution,[],[f1,f4]) ).
fof(f18,plain,
! [X2,X0,X1] :
( ~ product(left_solution(X0,not_identity(X1)),X2,not_identity(X1))
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f14,f2]) ).
fof(f44,plain,
! [X0,X1] : ~ product(X0,X1,X0),
inference(resolution,[],[f18,f2]) ).
fof(f69,plain,
$false,
inference(resolution,[],[f44,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP028-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 09:14:47 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 Running first-order model finding
% 0.09/0.39 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
% 0.09/0.43 % (3713484)Will run a generic schedule for satisfiability detection.
% 0.09/0.43 % (3713493)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2726217944:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.43 % (3713493) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3713484-3713493"...
% 0.09/0.43 % (3713493)...printing done.
% 0.09/0.43 % (3713490)% WARNING: option uhcvi not known.
% 0.09/0.43 % (3713493)Refutation found. Thanks to Tanya!
% 0.09/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.43 % (3713493)------------------------------
% 0.09/0.43 % (3713493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.43 % (3713493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.43 % (3713493)CaDiCaL version: 2.1.3
% 0.09/0.43 % (3713493)Termination reason: Refutation
% 0.09/0.43 % (3713493)Time elapsed: 0.002 s
% 0.09/0.43 % (3713493)Peak memory usage: 11 MB
% 0.09/0.43 % (3713493)Instructions burned: 5 (million)
% 0.09/0.43 % (3713484)Success in time 0.026 s
% 0.09/0.43 % Vampire exiting
%------------------------------------------------------------------------------