%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU552^2 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 08:32:25 AM UTC 2026
% Result : Theorem 0.09s 0.24s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 37 ( 16 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 37 ( 5 ~; 0 |; 4 &; 24 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 12 ( 0 ^; 8 !; 4 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
setadjoin: $i > $i > $i ).
thf(f1,conjecture,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
=> ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( setadjoin @ X0 @ X2 )
= ( setadjoin @ X1 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoin__Cong) ).
thf(f2,negated_conjecture,
~ ! [X0: $i,X1: $i] :
( ( X0 = X1 )
=> ! [X2: $i,X3: $i] :
( ( X2 = X3 )
=> ( ( setadjoin @ X0 @ X2 )
= ( setadjoin @ X1 @ X3 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
? [X0: $i,X1: $i] :
( ? [X2: $i,X3: $i] :
( ( ( setadjoin @ X0 @ X2 )
!= ( setadjoin @ X1 @ X3 ) )
& ( X2 = X3 ) )
& ( X0 = X1 ) ),
inference(ennf_transformation,[],[f2]) ).
thf(f4,plain,
( ( ( setadjoin @ sK0 @ sK2 )
!= ( setadjoin @ sK1 @ sK3 ) )
& ( sK2 = sK3 )
& ( sK0 = sK1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f3]) ).
thf(f5,plain,
sK0 = sK1,
inference(cnf_transformation,[],[f4]) ).
thf(f6,plain,
sK2 = sK3,
inference(cnf_transformation,[],[f4]) ).
thf(f7,plain,
( ( setadjoin @ sK0 @ sK2 )
!= ( setadjoin @ sK1 @ sK3 ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f8,plain,
( ( setadjoin @ sK1 @ sK3 )
!= ( setadjoin @ sK1 @ sK3 ) ),
inference(definition_unfolding,[],[f7,f5,f6]) ).
thf(f9,plain,
$false,
inference(trivial_inequality_removal,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU552^2 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n006.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 13:49:24 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 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
% 0.09/0.24 % (748871)Will run a generic schedule for satisfiability detection.
% 0.09/0.24 % (748880)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4187521583:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.24 % (748880)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.24 % (748880) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-748871-748880"...
% 0.09/0.24 % (748880)...printing done.
% 0.09/0.24 % (748880)Refutation found. Thanks to Tanya!
% 0.09/0.24 % SZS status Theorem for theBenchmark
% 0.09/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.24 % (748880)------------------------------
% 0.09/0.24 % (748880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (748880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (748880)CaDiCaL version: 2.1.3
% 0.09/0.24 % (748880)Termination reason: Refutation
% 0.09/0.24 % (748880)Time elapsed: 0.0000 s
% 0.09/0.24 % (748880)Peak memory usage: 11 MB
% 0.09/0.24 % (748871)Success in time 0.026 s
% 0.09/0.24 % Vampire exiting
%------------------------------------------------------------------------------