%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO077^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 08:46:34 AM UTC 2026
% Result : Theorem 0.07s 0.27s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 36 ( 9 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 27 ( 7 ~; 0 |; 2 &; 14 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 ^; 7 !; 5 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cP: $i > $o ).
thf(f1,conjecture,
? [X0: $i] :
( ( cP @ X0 )
=> ! [X1: $i] : ( cP @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM64) ).
thf(f2,negated_conjecture,
~ ? [X0: $i] :
( ( cP @ X0 )
=> ! [X1: $i] : ( cP @ X1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ? [X0: $i] :
( ( cP @ X0 )
=> ! [X1: $i] : ( cP @ X1 ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ? [X0: $i] :
( ( ( cP @ X0 )
= $true )
=> ! [X1: $i] :
( ( cP @ X1 )
= $true ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
! [X0: $i] :
( ? [X1: $i] :
( ( cP @ X1 )
!= $true )
& ( ( cP @ X0 )
= $true ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
! [X0: $i] :
( ( $true
!= ( cP @ sK0 ) )
& ( ( cP @ X0 )
= $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0)],[f5]) ).
thf(f7,plain,
! [X0: $i] :
( ( cP @ X0 )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f8,plain,
( $true
!= ( cP @ sK0 ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f11,plain,
$true != $true,
inference(constrained_superposition,[],[f8,f7]) ).
thf(f12,plain,
$false,
inference(trivial_inequality_removal,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO077^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n002.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 16:35:37 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running higher-order theorem proving
% 0.07/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.27 % (1506087)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.07/0.27 % (1506092)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=652974973:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.07/0.27 % (1506092) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1506087-1506092"...
% 0.07/0.27 % (1506092)...printing done.
% 0.07/0.27 % (1506092)Refutation found. Thanks to Tanya!
% 0.07/0.27 % SZS status Theorem for theBenchmark
% 0.07/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.27 % (1506092)------------------------------
% 0.07/0.27 % (1506092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.27 % (1506092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.27 % (1506092)CaDiCaL version: 2.1.3
% 0.07/0.27 % (1506092)Termination reason: Refutation
% 0.07/0.27 % (1506092)Time elapsed: 0.001 s
% 0.07/0.27 % (1506092)Peak memory usage: 12 MB
% 0.07/0.27 % (1506087)Success in time 0.028 s
% 0.07/0.27 % Vampire exiting
%------------------------------------------------------------------------------