%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP042-2 : 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 : n002.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 10:16:29 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.48s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',left_identity) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| equalish(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',total_function2) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ product(X2,X3,X0)
| ~ equalish(X0,X1)
| product(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',product_substitution3) ).
fof(f8,axiom,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b) ).
fof(f9,negated_conjecture,
~ equalish(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetry) ).
fof(f10,plain,
! [X0,X1] :
( ~ product(identity,X0,X1)
| equalish(X1,X0) ),
inference(resolution,[],[f4,f1]) ).
fof(f15,plain,
! [X0,X1] :
( product(identity,X0,X1)
| ~ equalish(X0,X1) ),
inference(resolution,[],[f7,f1]) ).
fof(f24,plain,
! [X0,X1] :
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
inference(resolution,[],[f15,f10]) ).
fof(f31,plain,
equalish(b,a),
inference(resolution,[],[f24,f8]) ).
fof(f34,plain,
$false,
inference(forward_subsumption_resolution,[],[f31,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP042-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 % Computer : n002.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 09:19:06 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.44 Running first-order model finding
% 0.16/0.44 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
% 0.16/0.48 % (3267849)Will run a generic schedule for satisfiability detection.
% 0.16/0.48 % (3267857)dis+10_1_sil=32000:sp=arity:random_seed=378577818:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.48 % (3267857) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3267849-3267857"...
% 0.16/0.48 % (3267857)...printing done.
% 0.16/0.48 % (3267855)% WARNING: option uhcvi not known.
% 0.16/0.48 % (3267857)Refutation found. Thanks to Tanya!
% 0.16/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48 % (3267857)------------------------------
% 0.16/0.48 % (3267857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.48 % (3267857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.48 % (3267857)CaDiCaL version: 2.1.3
% 0.16/0.48 % (3267857)Termination reason: Refutation
% 0.16/0.48 % (3267857)Time elapsed: 0.001 s
% 0.16/0.48 % (3267857)Peak memory usage: 11 MB
% 0.16/0.48 % (3267857)Instructions burned: 1 (million)
% 0.16/0.48 % (3267849)Success in time 0.036 s
% 0.16/0.48 % Vampire exiting
%------------------------------------------------------------------------------