%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP007-1 : 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 : n020.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 10:16:20 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.43s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 10 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_identity) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',total_function2) ).
fof(f9,axiom,
! [X0] : product(c,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',another_left_identity) ).
fof(f11,negated_conjecture,
identity != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_identity_equals_c) ).
fof(f12,plain,
! [X0,X1] :
( ~ product(c,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f6,f9]) ).
fof(f28,plain,
identity = c,
inference(resolution,[],[f12,f2]) ).
fof(f31,plain,
$false,
inference(forward_subsumption_resolution,[],[f28,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP007-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 09:14:19 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 Running first-order model finding
% 0.10/0.39 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
% 0.10/0.43 % (3118807)Will run a generic schedule for satisfiability detection.
% 0.10/0.43 % (3118815)dis+10_1_sil=32000:sp=arity:random_seed=3421510361:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.43 % (3118815) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3118807-3118815"...
% 0.10/0.43 % (3118815)...printing done.
% 0.10/0.43 % (3118815)Refutation found. Thanks to Tanya!
% 0.10/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.43 % (3118815)------------------------------
% 0.10/0.43 % (3118815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.43 % (3118815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.43 % (3118815)CaDiCaL version: 2.1.3
% 0.10/0.43 % (3118815)Termination reason: Refutation
% 0.10/0.43 % (3118815)Time elapsed: 0.001 s
% 0.10/0.43 % (3118815)Peak memory usage: 11 MB
% 0.10/0.43 % (3118815)Instructions burned: 1 (million)
% 0.10/0.43 % (3118807)Success in time 0.032 s
% 0.10/0.43 % Vampire exiting
%------------------------------------------------------------------------------