%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO194^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 : Wed Sep 30 08:49:28 AM UTC 2026
% Result : Theorem 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 10 ( 5 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 4 ~; 0 |; 0 &; 5 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 8 ( 0 ^; 5 !; 3 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_2,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_3,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f1,conjecture,
! [X0: $i] :
? [X1: $i > $i] :
( ( X1 @ X0 )
= X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cCT23) ).
thf(f2,negated_conjecture,
~ ! [X0: $i] :
? [X1: $i > $i] :
( ( X1 @ X0 )
= X0 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
? [X0: $i] :
! [X1: $i > $i] :
( ( X1 @ X0 )
!= X0 ),
inference(ennf_transformation,[],[f2]) ).
thf(f4,plain,
! [X1: $i > $i] :
( sK0
!= ( X1 @ sK0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f3]) ).
thf(f5,plain,
! [X1: $i > $i] :
( sK0
!= ( X1 @ sK0 ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f7,plain,
$false,
inference(equality_resolution,[],[f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO194^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/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 : Tue Sep 29 16:34:22 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.20/0.28 % (564785)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (564806)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1346672758:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.28 % (564806) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-564785-564806"...
% 0.20/0.28 % (564806)...printing done.
% 0.20/0.28 % (564806)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Theorem for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28 % (564806)------------------------------
% 0.20/0.28 % (564806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (564806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (564806)CaDiCaL version: 2.1.3
% 0.20/0.28 % (564806)Termination reason: Refutation
% 0.20/0.28 % (564806)Time elapsed: 0.001 s
% 0.20/0.28 % (564806)Peak memory usage: 12 MB
% 0.20/0.28 % (564785)Success in time 0.04 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------