%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI083_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 : n017.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 0.19s 0.26s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 20 ( 4 ~; 0 |; 14 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 46 ( 0 atm; 16 fun; 0 num; 30 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 : 1 ( 0 usr; 0 con; 2-2 aty)
% Number of variables : 30 ( 16 !; 14 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
( ( ( $sum(X0,X1) = X3 )
& ( $sum(X3,X2) = X4 )
& ( $sum(X1,X2) = X5 )
& ( $sum(X0,X5) = X6 ) )
=> ( X4 = X6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_sum_exists) ).
tff(f2,negated_conjecture,
~ ? [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
( ( ( $sum(X0,X1) = X3 )
& ( $sum(X3,X2) = X4 )
& ( $sum(X1,X2) = X5 )
& ( $sum(X0,X5) = X6 ) )
=> ( X4 = X6 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f15,plain,
! [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
( ( X4 != X6 )
& ( $sum(X0,X1) = X3 )
& ( $sum(X3,X2) = X4 )
& ( $sum(X1,X2) = X5 )
& ( $sum(X0,X5) = X6 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f16,plain,
! [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
( ( X4 != X6 )
& ( $sum(X0,X1) = X3 )
& ( $sum(X3,X2) = X4 )
& ( $sum(X1,X2) = X5 )
& ( $sum(X0,X5) = X6 ) ),
inference(flattening,[],[f15]) ).
tff(f21,plain,
! [X6: $int,X4: $int] : ( X4 != X6 ),
inference(cnf_transformation,[],[f16]) ).
tff(f22,plain,
$false,
inference(equality_resolution,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI083_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n017.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:37:51 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.19/0.26 % (3987418)Will run a generic schedule for satisfiability detection.
% 0.19/0.26 % (3987427)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2238511281:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.26 % (3987427) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3987418-3987427"...
% 0.19/0.26 % (3987427)...printing done.
% 0.19/0.26 % (3987427)Refutation found. Thanks to Tanya!
% 0.19/0.26 % SZS status Theorem for theBenchmark
% 0.19/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.26 % (3987427)------------------------------
% 0.19/0.26 % (3987427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.26 % (3987427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.26 % (3987427)CaDiCaL version: 2.1.3
% 0.19/0.26 % (3987427)Termination reason: Refutation
% 0.19/0.26 % (3987427)Time elapsed: 0.001 s
% 0.19/0.26 % (3987427)Peak memory usage: 12 MB
% 0.19/0.26 % (3987418)Success in time 0.027 s
% 0.19/0.26 % Vampire exiting
%------------------------------------------------------------------------------