%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO507^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 08:48:09 AM UTC 2026
% Result : Theorem 0.11s 0.28s
% Output : Refutation 0.11s
% 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 : 53 ( 27 ~; 0 |; 5 &; 21 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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,
f: $i > $o ).
thf(func_def_1,type,
p: ( $i > $o ) > $o ).
thf(func_def_3,type,
vNOT: $o > $o ).
thf(func_def_4,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_5,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f1,conjecture,
~ ( ( p @ f )
& ~ ( p
@ ^ [X0: $i] :
~ ~ ( f @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',claim) ).
thf(f2,negated_conjecture,
~ ~ ( ( p @ f )
& ~ ( p
@ ^ [X0: $i] :
~ ~ ( f @ X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ~ ( ( p @ f )
& ~ ( p
@ ^ [X0: $i] :
~ ~ ( f @ X0 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ~ ( ( ( p @ f )
= $true )
& ( $true
!= ( p
@ ^ [Y0: $i] :
~ ~ ( f @ Y0 ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ( ( p @ f )
= $true )
& ( $true
!= ( p
@ ^ [Y0: $i] :
~ ~ ( f @ Y0 ) ) ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
( $true
!= ( p
@ ^ [Y0: $i] :
~ ~ ( f @ Y0 ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f7,plain,
( ( p @ f )
= $true ),
inference(cnf_transformation,[],[f5]) ).
thf(f10,plain,
( $true
!= ( p
@ ^ [Y0: $i] : ( f @ Y0 ) ) ),
inference(boolean_simplification,[],[f6]) ).
thf(f11,plain,
( ( p @ f )
!= $true ),
inference(beta-eta_normalization,[],[f10]) ).
thf(f12,plain,
$false,
inference(forward_subsumption_resolution,[],[f7,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO507^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.19 % Computer : n011.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Tue Sep 29 17:11:46 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 Running higher-order theorem proving
% 0.11/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.28 % (377303)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.11/0.28 % (377309)lrs+10_16_si=on:nwc=1.5:random_seed=2842973538:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.11/0.28 % (377309) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-377303-377309"...
% 0.11/0.28 % (377309)...printing done.
% 0.11/0.28 % (377309)Refutation found. Thanks to Tanya!
% 0.11/0.28 % SZS status Theorem for theBenchmark
% 0.11/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.28 % (377309)------------------------------
% 0.11/0.28 % (377309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.28 % (377309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.28 % (377309)CaDiCaL version: 2.1.3
% 0.11/0.28 % (377309)Termination reason: Refutation
% 0.11/0.28 % (377309)Time elapsed: 0.001 s
% 0.11/0.28 % (377309)Peak memory usage: 12 MB
% 0.11/0.28 % (377303)Success in time 0.028 s
% 0.11/0.28 % Vampire exiting
%------------------------------------------------------------------------------