%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV079^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 : Wed Sep 30 08:38:57 AM UTC 2026
% Result : Theorem 0.27s 0.33s
% Output : Refutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 6 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 5 ~; 0 |; 6 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 12 ( 6 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( ( X1 = X2
& X0 = X1 )
=> X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTRANS_ID_pme) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( ( X1 = X2
& X0 = X1 )
=> X0 = X2 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X0,X1,X2] :
( X0 != X2
& X1 = X2
& X0 = X1 ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
? [X0,X1,X2] :
( X0 != X2
& X1 = X2
& X0 = X1 ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
sK0 = sK1,
inference(cnf_transformation,[],[f4]) ).
fof(f6,plain,
sK1 = sK2,
inference(cnf_transformation,[],[f4]) ).
fof(f7,plain,
sK0 != sK2,
inference(cnf_transformation,[],[f4]) ).
fof(f8,plain,
sK0 = sK2,
inference(definition_unfolding,[],[f5,f6]) ).
fof(f9,plain,
sK2 != sK2,
inference(definition_unfolding,[],[f7,f8]) ).
fof(f10,plain,
$false,
inference(trivial_inequality_removal,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV079^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 % Computer : n013.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Tue Sep 29 15:06:06 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.29 Running first-order model finding
% 0.09/0.29 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
% 0.27/0.33 % (2230062)Will run a generic schedule for satisfiability detection.
% 0.27/0.33 % (2230071)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=231455238:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.27/0.33 % (2230071) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2230062-2230071"...
% 0.27/0.33 % (2230071)...printing done.
% 0.27/0.33 % (2230071)Refutation found. Thanks to Tanya!
% 0.27/0.33 % SZS status Theorem for theBenchmark
% 0.27/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/0.33 % (2230071)------------------------------
% 0.27/0.33 % (2230071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.33 % (2230071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.33 % (2230071)CaDiCaL version: 2.1.3
% 0.27/0.33 % (2230071)Termination reason: Refutation
% 0.27/0.33 % (2230071)Time elapsed: 0.001 s
% 0.27/0.33 % (2230071)Peak memory usage: 11 MB
% 0.27/0.33 % (2230062)Success in time 0.029 s
% 0.27/0.33 % Vampire exiting
%------------------------------------------------------------------------------