%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO554^1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 08:50:25 AM UTC 2026
% Result : Unsatisfiable 0.07s 0.25s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 96 ( 21 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 48 ( 13 ~; 11 |; 0 &; 24 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
p: $i > $o ).
thf(func_def_7,type,
vNOT: $o > $o ).
thf(f1,axiom,
( ( p @ t )
| ( p @ s ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pst) ).
thf(f2,axiom,
( ~ ( p @ t )
| ~ ( p @ u ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',puv) ).
thf(f3,axiom,
s = t,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',st) ).
thf(f4,axiom,
t = u,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tu) ).
thf(f5,plain,
( ( p @ t )
| ( p @ s ) ),
inference(rectify,[],[f1]) ).
thf(f6,plain,
( ( ( p @ t )
= $true )
| ( ( p @ s )
= $true ) ),
inference(fool_elimination,[],[f5]) ).
thf(f7,plain,
( ~ ( p @ t )
| ~ ( p @ u ) ),
inference(rectify,[],[f2]) ).
thf(f8,plain,
( ( ( p @ t )
!= $true )
| ( ( p @ u )
!= $true ) ),
inference(fool_elimination,[],[f7]) ).
thf(f9,plain,
( ( ( p @ t )
!= $true )
| ( ( p @ u )
!= $true ) ),
inference(flattening,[],[f8]) ).
thf(f10,plain,
( ( ( p @ t )
= $true )
| ( ( p @ s )
= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f11,plain,
( ( ( p @ t )
!= $true )
| ( ( p @ u )
!= $true ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f12,plain,
s = t,
inference(cnf_transformation,[],[f3]) ).
thf(f13,plain,
t = u,
inference(cnf_transformation,[],[f4]) ).
thf(f16,plain,
s = u,
inference(definition_unfolding,[],[f12,f13]) ).
thf(f17,plain,
( ( ( p @ u )
= $true )
| ( ( p @ u )
= $true ) ),
inference(definition_unfolding,[],[f10,f13,f16]) ).
thf(f18,plain,
( ( ( p @ u )
!= $true )
| ( ( p @ u )
!= $true ) ),
inference(definition_unfolding,[],[f11,f13]) ).
thf(f19,plain,
( ( p @ u )
!= $true ),
inference(duplicate_literal_removal,[],[f18]) ).
thf(f20,plain,
( ( p @ u )
= $true ),
inference(duplicate_literal_removal,[],[f17]) ).
thf(f21,plain,
$false,
inference(forward_subsumption_resolution,[],[f20,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO554^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n011.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 17:14:46 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.07/0.25 % (384192)Will run a generic schedule for satisfiability detection.
% 0.07/0.25 % (384210)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=38790702:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.25 % (384210)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.07/0.25 % (384210) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-384192-384210"...
% 0.07/0.25 % (384210)...printing done.
% 0.07/0.25 % (384210)Refutation found. Thanks to Tanya!
% 0.07/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.25 % (384210)------------------------------
% 0.07/0.25 % (384210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (384210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (384210)CaDiCaL version: 2.1.3
% 0.07/0.25 % (384210)Termination reason: Refutation
% 0.07/0.25 % (384210)Time elapsed: 0.001 s
% 0.07/0.25 % (384210)Peak memory usage: 11 MB
% 0.07/0.25 % (384192)Success in time 0.028 s
% 0.07/0.26 % Vampire exiting
%------------------------------------------------------------------------------