%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO520^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 08:50:22 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.23s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 56 ( 16 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 66 ( 16 ~; 3 |; 0 &; 44 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 2 con; 0-4 aty)
% Number of variables : 21 ( 8 ^; 10 !; 3 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
eps: ( $i > $o ) > $i ).
thf(func_def_2,type,
p: $i > $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(func_def_8,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f1,axiom,
! [X0: $i > $o] :
( ? [X1: $i] : ( X0 @ X1 )
=> ( X0 @ ( eps @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',epschoice) ).
thf(f2,axiom,
( p
@ ( eps
@ ^ [X0: $i] :
~ ( p @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
thf(f3,axiom,
~ ( p @ ( eps @ p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
thf(f4,plain,
! [X0: $i > $o] :
( ? [X1: $i] : ( X0 @ X1 )
=> ( X0 @ ( eps @ X0 ) ) ),
inference(rectify,[],[f1]) ).
thf(f5,plain,
! [X0: $i > $o] :
( ? [X1: $i] :
( ( X0 @ X1 )
= $true )
=> ( ( X0 @ ( eps @ X0 ) )
= $true ) ),
inference(fool_elimination,[],[f4]) ).
thf(f6,plain,
( p
@ ( eps
@ ^ [X0: $i] :
~ ( p @ X0 ) ) ),
inference(rectify,[],[f2]) ).
thf(f7,plain,
( $true
= ( p
@ ( eps
@ ^ [Y0: $i] :
~ ( p @ Y0 ) ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
~ ( p @ ( eps @ p ) ),
inference(rectify,[],[f3]) ).
thf(f9,plain,
( ( p @ ( eps @ p ) )
!= $true ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
( ( p @ ( eps @ p ) )
!= $true ),
inference(flattening,[],[f9]) ).
thf(f11,plain,
! [X0: $i > $o] :
( ( ( X0 @ ( eps @ X0 ) )
= $true )
| ! [X1: $i] :
( ( X0 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f12,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ ( eps @ X0 ) )
= $true )
| ( ( X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f13,plain,
( $true
= ( p
@ ( eps
@ ^ [Y0: $i] :
~ ( p @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f14,plain,
( ( p @ ( eps @ p ) )
!= $true ),
inference(cnf_transformation,[],[f10]) ).
thf(f37,plain,
! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( ^ [Y0: $i] :
( p
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ X0 ) ) ),
inference(constrained_superposition,[],[f14,f12]) ).
thf(f43,plain,
! [X0: $i] :
( $true
!= ( ^ [Y0: $i] :
( p
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ X0 ) ),
inference(trivial_inequality_removal,[],[f37]) ).
thf(f44,plain,
! [X0: $i] :
( ( p @ X0 )
!= $true ),
inference(beta-eta_normalization,[],[f43]) ).
thf(f78,plain,
$true != $true,
inference(constrained_superposition,[],[f44,f13]) ).
thf(f79,plain,
$false,
inference(trivial_inequality_removal,[],[f78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO520^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.16 % Computer : n001.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Sep 29 17:18:21 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.23 % (1539452)Will run a generic schedule for satisfiability detection.
% 0.09/0.23 % (1539461)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=412521042:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.23 % (1539461)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.23 % (1539461) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1539452-1539461"...
% 0.09/0.23 % (1539461)...printing done.
% 0.09/0.23 % (1539461)Refutation found. Thanks to Tanya!
% 0.09/0.23 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.23 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.24 % (1539461)------------------------------
% 0.09/0.24 % (1539461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (1539461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (1539461)CaDiCaL version: 2.1.3
% 0.09/0.24 % (1539461)Termination reason: Refutation
% 0.09/0.24 % (1539461)Time elapsed: 0.002 s
% 0.09/0.24 % (1539461)Peak memory usage: 12 MB
% 0.09/0.24 % (1539461)Instructions burned: 4 (million)
% 0.09/0.24 % (1539452)Success in time 0.028 s
% 0.09/0.24 % Vampire exiting
%------------------------------------------------------------------------------