%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYP117^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 08:50:41 AM UTC 2026
% Result : Theorem 0.21s 0.28s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 11 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 23 ( 5 ~; 0 |; 0 &; 18 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 2 con; 0-4 aty)
% Number of variables : 17 ( 4 ^; 11 !; 2 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_6,type,
sK0: $tType ).
thf(func_def_0,type,
i:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_2,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_3,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_4,type,
sK1: sK0 ).
thf(f1,axiom,
! [X0: $tType] :
( ( ( ^ [X1: X0] : X1 )
= i )
@ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','trivia/I_DEF_') ).
thf(f2,conjecture,
! [X0: $tType,X1: X0] :
( ( i @ X0 @ X1 )
= X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','trivia/I_THM_') ).
thf(f3,negated_conjecture,
~ ! [X0: $tType,X1: X0] :
( ( i @ X0 @ X1 )
= X1 ),
inference(negated_conjecture,[status(cth)],[f2]) ).
thf(f4,plain,
! [X0: $tType] :
( i
@ ( X0
= ( ^ [Y0: X0] : Y0 ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f5,plain,
? [X0: $tType,X1: X0] :
( ( i @ X0 @ X1 )
!= X1 ),
inference(ennf_transformation,[],[f3]) ).
thf(f6,plain,
( sK1
!= ( i @ sK0 @ sK1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f5]) ).
thf(f7,plain,
! [X0: $tType] :
( i
@ ( X0
= ( ^ [Y0: X0] : Y0 ) ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f8,plain,
( sK1
!= ( i @ sK0 @ sK1 ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f9,plain,
! [X0: $tType,X1: X0] :
( ( i @ X0 @ X1 )
= ( ^ [Y0: X0] : Y0
@ X1 ) ),
inference(argument_congruence,[],[f7]) ).
thf(f10,plain,
! [X0: $tType,X1: X0] :
( ( i @ X0 @ X1 )
= X1 ),
inference(beta-eta_normalization,[],[f9]) ).
thf(f12,plain,
sK1 != sK1,
inference(superposition,[],[f8,f10]) ).
thf(f13,plain,
$false,
inference(trivial_inequality_removal,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYP117^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n018.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 17:31:26 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 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
% 0.21/0.28 % (388590)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.28 % (388599)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3626773089:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.28 % (388599) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-388590-388599"...
% 0.21/0.28 % (388599)...printing done.
% 0.21/0.28 % (388599)Refutation found. Thanks to Tanya!
% 0.21/0.28 % SZS status Theorem for theBenchmark
% 0.21/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.28 % (388599)------------------------------
% 0.21/0.28 % (388599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (388599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (388599)CaDiCaL version: 2.1.3
% 0.21/0.28 % (388599)Termination reason: Refutation
% 0.21/0.28 % (388599)Time elapsed: 0.001 s
% 0.21/0.28 % (388599)Peak memory usage: 12 MB
% 0.21/0.28 % (388590)Success in time 0.028 s
% 0.21/0.28 % Vampire exiting
%------------------------------------------------------------------------------