%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO370^5 : 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 : n014.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 08:49:48 AM UTC 2026
% Result : Theorem 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 45 ( 8 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 45 ( 19 ~; 0 |; 1 &; 21 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 2 con; 0-4 aty)
% Number of variables : 7 ( 7 ^; 0 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cA: $i > $o ).
thf(func_def_1,type,
cP: ( $i > $o ) > $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,
( ( cP @ cA )
=> ( cP
@ ^ [X0: $i] :
~ ~ ( cA @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTRIVEXT3) ).
thf(f2,negated_conjecture,
~ ( ( cP @ cA )
=> ( cP
@ ^ [X0: $i] :
~ ~ ( cA @ X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ( cP @ cA )
=> ( cP
@ ^ [X0: $i] :
~ ~ ( cA @ X0 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ( ( cP @ cA )
= $true )
=> ( $true
= ( cP
@ ^ [Y0: $i] :
~ ~ ( cA @ Y0 ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ( $true
!= ( cP
@ ^ [Y0: $i] :
~ ~ ( cA @ Y0 ) ) )
& ( ( cP @ cA )
= $true ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
( ( cP @ cA )
= $true ),
inference(cnf_transformation,[],[f5]) ).
thf(f7,plain,
( $true
!= ( cP
@ ^ [Y0: $i] :
~ ~ ( cA @ Y0 ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f10,plain,
( $true
!= ( cP
@ ^ [Y0: $i] : ( cA @ Y0 ) ) ),
inference(boolean_simplification,[],[f7]) ).
thf(f11,plain,
( ( cP @ cA )
!= $true ),
inference(beta-eta_normalization,[],[f10]) ).
thf(f12,plain,
$false,
inference(forward_subsumption_resolution,[],[f11,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO370^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n014.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % 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 16:49:16 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 % (2915789)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (2915797)dis+10_1_sil=32000:sp=arity:random_seed=3050229973:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.25 % (2915797) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2915789-2915797"...
% 0.08/0.25 % (2915797)...printing done.
% 0.08/0.25 % (2915797)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 % (2915797)------------------------------
% 0.08/0.25 % (2915797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (2915797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (2915797)CaDiCaL version: 2.1.3
% 0.08/0.25 % (2915797)Termination reason: Refutation
% 0.08/0.25 % (2915797)Time elapsed: 0.001 s
% 0.08/0.25 % (2915797)Peak memory usage: 12 MB
% 0.08/0.25 % (2915789)Success in time 0.025 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------