%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO196^5 : 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 : 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 08:49:28 AM UTC 2026
% Result : Theorem 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 4 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 37 ( 12 ~; 0 |; 6 &; 15 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 6 usr; 3 con; 0-4 aty)
% ( 4 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 14 ( 4 ^; 6 !; 4 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_2,type,
vAND: $o > $o > $o ).
thf(func_def_3,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_4,type,
vNOT: $o > $o ).
thf(func_def_5,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f1,conjecture,
? [X0: $o > $o] :
( X0
@ ! [X1: $o] :
( ~ X1
& X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cCT21) ).
thf(f2,negated_conjecture,
~ ? [X0: $o > $o] :
( X0
@ ! [X1: $o] :
( ~ X1
& X1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ? [X0: $o > $o] :
( X0
@ ! [X1: $o] :
( ~ X1
& X1 ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ? [X0: $o > $o] :
( ( X0
@ ( !! @ $o
@ ^ [Y0: $o] :
( Y0
& ~ Y0 ) ) )
= $true ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
! [X0: $o > $o] :
( ( X0
@ ( !! @ $o
@ ^ [Y0: $o] :
( Y0
& ~ Y0 ) ) )
!= $true ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
! [X0: $o > $o] :
( ( X0
@ ( !! @ $o
@ ^ [Y0: $o] :
( Y0
& ~ Y0 ) ) )
!= $true ),
inference(cnf_transformation,[],[f5]) ).
thf(f9,plain,
! [X0: $o > $o] :
( $true
!= ( X0
@ ( !! @ $o
@ ^ [Y0: $o] : $false ) ) ),
inference(boolean_simplification,[],[f6]) ).
thf(f14,plain,
$false,
inference(equality_resolution,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO196^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n013.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 16:38:21 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.08/0.25 % (2348495)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (2348501)% WARNING: option uhcvi not known.
% 0.08/0.25 % (2348501)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2825077364:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.25 % (2348501)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.25 % (2348501)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.08/0.25 % (2348501) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2348495-2348501"...
% 0.08/0.25 % (2348501)...printing done.
% 0.08/0.25 % (2348501)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Theorem for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (2348501)------------------------------
% 0.08/0.25 % (2348501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (2348501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (2348501)CaDiCaL version: 2.1.3
% 0.08/0.25 % (2348501)Termination reason: Refutation
% 0.08/0.25 % (2348501)Time elapsed: 0.001 s
% 0.08/0.25 % (2348501)Peak memory usage: 12 MB
% 0.08/0.25 % (2348495)Success in time 0.023 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------