%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO142^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 08:46:42 AM UTC 2026
% Result : Theorem 0.23s 0.29s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 67 ( 16 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 83 ( 9 ~; 4 |; 6 &; 56 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 ^; 8 !; 8 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
f: $i > $i ).
thf(func_def_2,type,
p: $i > $o ).
thf(f1,conjecture,
? [X1: $i,X0: $i] :
( ( ( p @ X0 )
=> ( p @ ( f @ ( f @ X1 ) ) ) )
& ( ( p @ X1 )
=> ( p @ ( f @ ( f @ a ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTEST4) ).
thf(f2,negated_conjecture,
~ ? [X1: $i,X0: $i] :
( ( ( p @ X0 )
=> ( p @ ( f @ ( f @ X1 ) ) ) )
& ( ( p @ X1 )
=> ( p @ ( f @ ( f @ a ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ? [X0: $i,X1: $i] :
( ( ( p @ X1 )
=> ( p @ ( f @ ( f @ X0 ) ) ) )
& ( ( p @ X0 )
=> ( p @ ( f @ ( f @ a ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ? [X1: $i,X0: $i] :
( ( ( ( p @ X1 )
= $true )
=> ( $true
= ( p @ ( f @ ( f @ X0 ) ) ) ) )
& ( ( ( p @ X0 )
= $true )
=> ( ( p @ ( f @ ( f @ a ) ) )
= $true ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
! [X0: $i,X1: $i] :
( ( ( ( p @ X1 )
= $true )
& ( $true
!= ( p @ ( f @ ( f @ X0 ) ) ) ) )
| ( ( ( p @ ( f @ ( f @ a ) ) )
!= $true )
& ( ( p @ X0 )
= $true ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
! [X0: $i] :
( ( ( p @ X0 )
= $true )
| ( $true
!= ( p @ ( f @ ( f @ X0 ) ) ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f7,plain,
! [X0: $i] :
( ( $true
!= ( p @ ( f @ ( f @ X0 ) ) ) )
| ( ( p @ ( f @ ( f @ a ) ) )
!= $true ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f8,plain,
! [X0: $i,X1: $i] :
( ( ( p @ X1 )
= $true )
| ( ( p @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f15,plain,
! [X0: $i] :
( ( p @ X0 )
= $true ),
inference(forward_subsumption_resolution,[],[f6,f8]) ).
thf(f16,plain,
! [X0: $i] :
( $true
!= ( p @ ( f @ ( f @ X0 ) ) ) ),
inference(forward_subsumption_resolution,[],[f7,f15]) ).
thf(f17,plain,
$false,
inference(forward_subsumption_resolution,[],[f16,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO142^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n002.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 16:37:52 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running higher-order theorem proving
% 0.10/0.24 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
% 0.23/0.29 % (1513152)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.23/0.29 % (1513161)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=923725430:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.23/0.29 % (1513161) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1513152-1513161"...
% 0.23/0.29 % (1513161)...printing done.
% 0.23/0.29 % (1513161)Refutation found. Thanks to Tanya!
% 0.23/0.29 % SZS status Theorem for theBenchmark
% 0.23/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.29 % (1513161)------------------------------
% 0.23/0.29 % (1513161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.29 % (1513161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.29 % (1513161)CaDiCaL version: 2.1.3
% 0.23/0.29 % (1513161)Termination reason: Refutation
% 0.23/0.29 % (1513161)Time elapsed: 0.001 s
% 0.23/0.29 % (1513161)Peak memory usage: 12 MB
% 0.23/0.29 % (1513161)Instructions burned: 1 (million)
% 0.23/0.29 % (1513152)Success in time 0.039 s
% 0.23/0.29 % Vampire exiting
%------------------------------------------------------------------------------