%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI104_1 : TPTP v9.3.1. Released v5.0.0.
% 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 09:34:03 AM UTC 2026
% Result : Theorem 0.21s 0.27s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 3 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 20 ( 0 atm; 4 fun; 13 num; 3 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 3 ( 2 !; 1 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $int ).
tff(f1,conjecture,
! [X0: $int] :
( ( $product(2,3) = X0 )
=> ( X0 = 6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_2_3_only_6) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( ( $product(2,3) = X0 )
=> ( X0 = 6 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f21,plain,
? [X0: $int] :
( ( 6 != X0 )
& ( $product(2,3) = X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f22,plain,
$product(2,3) = sK0,
inference(cnf_transformation,[],[f21]) ).
tff(f23,plain,
6 != sK0,
inference(cnf_transformation,[],[f21]) ).
tff(f25,plain,
6 = sK0,
inference(evaluation,[],[f22]) ).
tff(f26,plain,
$false,
inference(forward_subsumption_resolution,[],[f23,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI104_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n026.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 20:45:27 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23 Running first-order model finding
% 0.07/0.23 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
% 0.21/0.27 % (32645)Will run a generic schedule for satisfiability detection.
% 0.21/0.27 % (32660)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1160909613:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.27 % (32660) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-32645-32660"...
% 0.21/0.27 % (32660)...printing done.
% 0.21/0.27 % (32660)Refutation found. Thanks to Tanya!
% 0.21/0.27 % SZS status Theorem for theBenchmark
% 0.21/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.27 % (32660)------------------------------
% 0.21/0.27 % (32660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.27 % (32660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.27 % (32660)CaDiCaL version: 2.1.3
% 0.21/0.27 % (32660)Termination reason: Refutation
% 0.21/0.27 % (32660)Time elapsed: 0.001 s
% 0.21/0.27 % (32660)Peak memory usage: 11 MB
% 0.21/0.27 % (32645)Success in time 0.029 s
% 0.21/0.27 % Vampire exiting
%------------------------------------------------------------------------------