%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO198^5 : 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 : n008.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 0.10s 0.25s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 28 ( 10 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 33 ( 11 ~; 3 |; 4 &; 15 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 18 ( 1 ^; 11 !; 6 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_3,type,
sK0: $o ).
thf(func_def_4,type,
sK1: $o ).
thf(func_def_5,type,
vNOT: $o > $o ).
thf(func_def_6,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_7,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f1,conjecture,
! [X0: $o,X1: $o] :
? [X2: $o > $o] :
( ( X2 @ X1 )
& ( X2 @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cCT8) ).
thf(f2,negated_conjecture,
~ ! [X0: $o,X1: $o] :
? [X2: $o > $o] :
( ( X2 @ X1 )
& ( X2 @ X0 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: $o,X1: $o] :
? [X2: $o > $o] :
( ( X2 @ X1 )
& ( X2 @ X0 ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X0: $o,X1: $o] :
? [X2: $o > $o] :
( ( ( X2 @ X1 )
= $true )
& ( ( X2 @ X0 )
= $true ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
? [X0: $o,X1: $o] :
! [X2: $o > $o] :
( ( ( X2 @ X1 )
!= $true )
| ( ( X2 @ X0 )
!= $true ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
! [X2: $o > $o] :
( ( $true
!= ( X2 @ sK1 ) )
| ( $true
!= ( X2 @ sK0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f5]) ).
thf(f7,plain,
! [X2: $o > $o] :
( ( $true
!= ( X2 @ sK1 ) )
| ( $true
!= ( X2 @ sK0 ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f14,plain,
( $true
!= ( ^ [Y0: $o] : $true
@ sK0 ) ),
inference(equality_resolution,[],[f7]) ).
thf(f15,plain,
$true != $true,
inference(beta-eta_normalization,[],[f14]) ).
thf(f16,plain,
$false,
inference(trivial_inequality_removal,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO198^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.18 % Computer : n008.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Sep 29 16:39:39 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.21 Running first-order model finding
% 0.10/0.21 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
% 0.10/0.25 % (3392140)Will run a generic schedule for satisfiability detection.
% 0.10/0.25 % (3392148)dis+10_1_sil=32000:sp=arity:random_seed=3066400429:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.25 % (3392148) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3392140-3392148"...
% 0.10/0.25 % (3392148)...printing done.
% 0.10/0.25 % (3392148)Refutation found. Thanks to Tanya!
% 0.10/0.25 % SZS status Theorem for theBenchmark
% 0.10/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.25 % (3392148)------------------------------
% 0.10/0.25 % (3392148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.25 % (3392148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.25 % (3392148)CaDiCaL version: 2.1.3
% 0.10/0.25 % (3392148)Termination reason: Refutation
% 0.10/0.25 % (3392148)Time elapsed: 0.001 s
% 0.10/0.25 % (3392148)Peak memory usage: 12 MB
% 0.10/0.25 % (3392140)Success in time 0.029 s
% 0.10/0.25 % Vampire exiting
%------------------------------------------------------------------------------