%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU841^5 : 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 : 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 08:31:47 AM UTC 2026
% Result : Theorem 0.20s 0.29s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 37 ( 22 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 19 ( 7 ~; 0 |; 10 &; 0 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 15 ( 0 ^; 6 !; 9 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
sK0: a > $o ).
thf(func_def_1,type,
sK1: a > $o ).
thf(func_def_2,type,
sK2: a > $o ).
thf(func_def_5,type,
vNOT: $o > $o ).
thf(f1,conjecture,
! [X1: a > $o,X0: a > $o,X2: a > $o] :
( ( ( X0 = X1 )
& ( X1 = X2 ) )
=> ( X0 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGAZING_THM7) ).
thf(f2,negated_conjecture,
~ ! [X1: a > $o,X0: a > $o,X2: a > $o] :
( ( ( X0 = X1 )
& ( X1 = X2 ) )
=> ( X0 = X2 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
? [X1: a > $o,X0: a > $o,X2: a > $o] :
( ( X0 != X2 )
& ( X0 = X1 )
& ( X1 = X2 ) ),
inference(ennf_transformation,[],[f2]) ).
thf(f4,plain,
? [X1: a > $o,X2: a > $o,X0: a > $o] :
( ( X0 != X2 )
& ( X0 = X1 )
& ( X1 = X2 ) ),
inference(flattening,[],[f3]) ).
thf(f5,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( X1 != X2 )
& ( X0 = X2 )
& ( X0 = X1 ) ),
inference(rectify,[],[f4]) ).
thf(f6,plain,
( ( sK2 != sK1 )
& ( sK2 = sK0 )
& ( sK1 = sK0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f5]) ).
thf(f7,plain,
sK1 = sK0,
inference(cnf_transformation,[],[f6]) ).
thf(f8,plain,
sK2 = sK0,
inference(cnf_transformation,[],[f6]) ).
thf(f9,plain,
sK2 != sK1,
inference(cnf_transformation,[],[f6]) ).
thf(f12,plain,
sK0 != sK0,
inference(definition_unfolding,[],[f9,f8,f7]) ).
thf(f13,plain,
$false,
inference(trivial_inequality_removal,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU841^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n001.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 14:45:36 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.07/0.24 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
% 0.20/0.29 % (1339144)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.29 % (1339157)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=893151453:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.29 % (1339157) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1339144-1339157"...
% 0.20/0.29 % (1339157)...printing done.
% 0.20/0.29 % (1339157)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Theorem for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.29 % (1339157)------------------------------
% 0.20/0.29 % (1339157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (1339157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (1339157)CaDiCaL version: 2.1.3
% 0.20/0.29 % (1339157)Termination reason: Refutation
% 0.20/0.29 % (1339157)Time elapsed: 0.0000 s
% 0.20/0.29 % (1339157)Peak memory usage: 12 MB
% 0.20/0.29 % (1339144)Success in time 0.034 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------