%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI080_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 09:34:00 AM UTC 2026
% Result : Theorem 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 19 ( 10 ~; 5 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 33 ( 0 atm; 6 fun; 18 num; 9 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 : 3 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 5 !; 4 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $int,X1: $int] :
( ( $sum(X0,X1) = 8 )
& ( X0 = 4 )
& ( X1 = 4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_4_4_8) ).
tff(f2,negated_conjecture,
~ ? [X0: $int,X1: $int] :
( ( $sum(X0,X1) = 8 )
& ( X0 = 4 )
& ( X1 = 4 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f15,plain,
! [X0: $int,X1: $int] :
( ( $sum(X0,X1) != 8 )
| ( 4 != X0 )
| ( 4 != X1 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f16,plain,
! [X0: $int,X1: $int] :
( ( 4 != X1 )
| ( 4 != X0 )
| ( $sum(X0,X1) != 8 ) ),
inference(cnf_transformation,[],[f15]) ).
tff(f17,plain,
! [X0: $int] :
( ( 4 != X0 )
| ( 8 != $sum(X0,4) ) ),
inference(equality_resolution,[],[f16]) ).
tff(f18,plain,
8 != $sum(4,4),
inference(equality_resolution,[],[f17]) ).
tff(f19,plain,
$false,
inference(evaluation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI080_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n011.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 20:42:31 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.08/0.25 % (3746815)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (3746829)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1082535480:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.08/0.25 % (3746829) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3746815-3746829"...
% 0.08/0.25 % (3746829)...printing done.
% 0.08/0.25 % (3746829)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Theorem for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (3746829)------------------------------
% 0.08/0.25 % (3746829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (3746829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (3746829)CaDiCaL version: 2.1.3
% 0.08/0.25 % (3746829)Termination reason: Refutation
% 0.08/0.25 % (3746829)Time elapsed: 0.0000 s
% 0.08/0.25 % (3746829)Peak memory usage: 11 MB
% 0.08/0.25 % (3746815)Success in time 0.016 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------