%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP009-1 : 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 : 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 10:16:21 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.44s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 12 unt; 0 def)
% Number of atoms : 28 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_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(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X2,X3,X5)
| ~ product(X1,X3,X4)
| ~ product(X0,X1,X2)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',associativity1) ).
fof(f9,axiom,
product(a,b,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_an_inverse_of_b) ).
fof(f10,axiom,
product(c,b,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_an_inverse_of_b) ).
fof(f11,negated_conjecture,
a != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_equals_c) ).
fof(f15,plain,
! [X0,X1] :
( ~ product(X0,identity,X1)
| X0 = X1 ),
inference(resolution,[],[f6,f2]) ).
fof(f19,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,X0,identity)
| ~ product(X0,X1,X2)
| product(X3,X2,X1) ),
inference(resolution,[],[f7,f1]) ).
fof(f97,plain,
! [X0,X1] :
( ~ product(b,X0,X1)
| product(a,X1,X0) ),
inference(resolution,[],[f19,f9]) ).
fof(f98,plain,
! [X0,X1] :
( ~ product(b,X0,X1)
| product(c,X1,X0) ),
inference(resolution,[],[f19,f10]) ).
fof(f132,plain,
product(a,identity,inverse(b)),
inference(resolution,[],[f97,f4]) ).
fof(f137,plain,
a = inverse(b),
inference(resolution,[],[f132,f15]) ).
fof(f211,plain,
product(c,identity,inverse(b)),
inference(resolution,[],[f98,f4]) ).
fof(f213,plain,
product(c,identity,a),
inference(forward_demodulation,[],[f211,f137]) ).
fof(f216,plain,
a = c,
inference(resolution,[],[f213,f15]) ).
fof(f226,plain,
$false,
inference(forward_subsumption_resolution,[],[f216,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n026.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 09:16:26 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.44 % (2558747)Will run a generic schedule for satisfiability detection.
% 0.11/0.44 % (2558755)dis+10_1_sil=32000:sp=arity:random_seed=706749557:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.44 % (2558755) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2558747-2558755"...
% 0.11/0.44 % (2558755)...printing done.
% 0.11/0.44 % (2558753)% WARNING: option uhcvi not known.
% 0.11/0.44 % (2558755)Refutation found. Thanks to Tanya!
% 0.11/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.44 % (2558755)------------------------------
% 0.11/0.44 % (2558755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.44 % (2558755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.44 % (2558755)CaDiCaL version: 2.1.3
% 0.11/0.44 % (2558755)Termination reason: Refutation
% 0.11/0.44 % (2558755)Time elapsed: 0.003 s
% 0.11/0.44 % (2558755)Peak memory usage: 11 MB
% 0.11/0.44 % (2558755)Instructions burned: 8 (million)
% 0.11/0.44 % (2558747)Success in time 0.028 s
% 0.11/0.44 % Vampire exiting
%------------------------------------------------------------------------------