%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO502^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 0.24s 0.30s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 43 ( 14 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 34 ( 8 ~; 4 |; 2 &; 20 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_2,type,
f: $i > $i ).
thf(func_def_3,type,
g: $i > $i ).
thf(f1,conjecture,
( ( a != b )
| ( ( f @ b )
= ( g @ a ) )
| ( ( f @ a )
!= ( g @ b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',claim) ).
thf(f2,negated_conjecture,
~ ( ( a != b )
| ( ( f @ b )
= ( g @ a ) )
| ( ( f @ a )
!= ( g @ b ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
( ( a = b )
& ( ( f @ b )
!= ( g @ a ) )
& ( ( f @ a )
= ( g @ b ) ) ),
inference(ennf_transformation,[],[f2]) ).
thf(f4,plain,
( ( f @ a )
= ( g @ b ) ),
inference(cnf_transformation,[],[f3]) ).
thf(f5,plain,
( ( f @ b )
!= ( g @ a ) ),
inference(cnf_transformation,[],[f3]) ).
thf(f6,plain,
a = b,
inference(cnf_transformation,[],[f3]) ).
thf(f7,plain,
( ( g @ b )
!= ( f @ b ) ),
inference(definition_unfolding,[],[f5,f6]) ).
thf(f8,plain,
( ( g @ b )
= ( f @ b ) ),
inference(definition_unfolding,[],[f4,f6]) ).
thf(f9,plain,
$false,
inference(forward_subsumption_resolution,[],[f8,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO502^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n017.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 17:06:52 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running higher-order theorem proving
% 0.10/0.25 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
% 0.24/0.30 % (619820)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.24/0.30 % (619825)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1391485055:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.24/0.30 % (619825) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-619820-619825"...
% 0.24/0.30 % (619825)...printing done.
% 0.24/0.30 % (619825)Refutation found. Thanks to Tanya!
% 0.24/0.30 % SZS status Theorem for theBenchmark
% 0.24/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.30 % (619825)------------------------------
% 0.24/0.30 % (619825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.30 % (619825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.30 % (619825)CaDiCaL version: 2.1.3
% 0.24/0.30 % (619825)Termination reason: Refutation
% 0.24/0.30 % (619825)Time elapsed: 0.001 s
% 0.24/0.30 % (619825)Peak memory usage: 12 MB
% 0.24/0.30 % (619820)Success in time 0.033 s
% 0.24/0.30 % Vampire exiting
%------------------------------------------------------------------------------