%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI082_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 : 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 0.19s 0.26s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 21 ( 5 ~; 0 |; 14 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 77 ( 0 atm; 22 fun; 39 num; 16 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 : 11 ( 4 usr; 10 con; 0-2 aty)
% Number of variables : 16 ( 8 !; 8 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int ).
tff(func_def_8,type,
sK1: $int ).
tff(func_def_9,type,
sK2: $int ).
tff(func_def_10,type,
sK3: $int ).
tff(f1,conjecture,
! [X0: $int,X1: $int,X2: $int,X3: $int] :
( ( ( $sum(2,3) = X0 )
& ( $sum(X0,6) = X1 )
& ( $sum(3,6) = X2 )
& ( $sum(2,X2) = X3 ) )
=> ( X1 = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_sum) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int,X2: $int,X3: $int] :
( ( ( $sum(2,3) = X0 )
& ( $sum(X0,6) = X1 )
& ( $sum(3,6) = X2 )
& ( $sum(2,X2) = X3 ) )
=> ( X1 = X3 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f15,plain,
? [X0: $int,X1: $int,X2: $int,X3: $int] :
( ( X1 != X3 )
& ( $sum(2,3) = X0 )
& ( $sum(X0,6) = X1 )
& ( $sum(3,6) = X2 )
& ( $sum(2,X2) = X3 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f16,plain,
? [X0: $int,X1: $int,X2: $int,X3: $int] :
( ( X1 != X3 )
& ( $sum(2,3) = X0 )
& ( $sum(X0,6) = X1 )
& ( $sum(3,6) = X2 )
& ( $sum(2,X2) = X3 ) ),
inference(flattening,[],[f15]) ).
tff(f17,plain,
sK3 = $sum(2,sK2),
inference(cnf_transformation,[],[f16]) ).
tff(f18,plain,
$sum(3,6) = sK2,
inference(cnf_transformation,[],[f16]) ).
tff(f19,plain,
sK1 = $sum(sK0,6),
inference(cnf_transformation,[],[f16]) ).
tff(f20,plain,
$sum(2,3) = sK0,
inference(cnf_transformation,[],[f16]) ).
tff(f21,plain,
sK1 != sK3,
inference(cnf_transformation,[],[f16]) ).
tff(f22,plain,
sK2 = 9,
inference(evaluation,[],[f18]) ).
tff(f23,plain,
sK0 = 5,
inference(evaluation,[],[f20]) ).
tff(f24,plain,
sK3 = $sum(2,9),
inference(superposition,[],[f17,f22]) ).
tff(f25,plain,
sK3 = 11,
inference(evaluation,[],[f24]) ).
tff(f26,plain,
sK1 != 11,
inference(superposition,[],[f21,f25]) ).
tff(f27,plain,
sK1 = $sum(5,6),
inference(superposition,[],[f19,f23]) ).
tff(f28,plain,
sK1 = 11,
inference(evaluation,[],[f27]) ).
tff(f29,plain,
$false,
inference(forward_subsumption_resolution,[],[f28,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI082_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n011.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 20:42:31 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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 % (3746562)Will run a generic schedule for satisfiability detection.
% 0.19/0.26 % (3746571)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2622987620:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.26 % (3746571) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3746562-3746571"...
% 0.19/0.26 % (3746571)...printing done.
% 0.19/0.26 % (3746568)% WARNING: option uhcvi not known.
% 0.19/0.26 % (3746571)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 % (3746571)------------------------------
% 0.19/0.26 % (3746571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.26 % (3746571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.26 % (3746571)CaDiCaL version: 2.1.3
% 0.19/0.26 % (3746571)Termination reason: Refutation
% 0.19/0.26 % (3746571)Time elapsed: 0.001 s
% 0.19/0.26 % (3746571)Peak memory usage: 12 MB
% 0.19/0.26 % (3746571)Instructions burned: 1 (million)
% 0.19/0.26 % (3746562)Success in time 0.034 s
% 0.19/0.26 % Vampire exiting
%------------------------------------------------------------------------------