%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU888^5 : 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 : n019.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 08:31:53 AM UTC 2026
% Result : Theorem 0.11s 0.25s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 9 unt; 0 typ; 2 def)
% Number of atoms : 38 ( 25 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 50 ( 14 ~; 11 |; 4 &; 17 @)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 3 !; 2 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
b: $tType ).
thf(type_def_6,type,
a: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
g: b > a ).
thf(func_def_1,type,
z: a ).
thf(func_def_2,type,
y: b ).
thf(func_def_3,type,
x: b ).
thf(f1,conjecture,
( ( ( z
= ( g @ x ) )
| ( z
= ( g @ y ) ) )
=> ? [X0: b] :
( ( ( X0 = x )
| ( X0 = y ) )
& ( z
= ( g @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM500C_WFF_pme) ).
thf(f2,negated_conjecture,
~ ( ( ( z
= ( g @ x ) )
| ( z
= ( g @ y ) ) )
=> ? [X0: b] :
( ( ( X0 = x )
| ( X0 = y ) )
& ( z
= ( g @ X0 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
( ! [X0: b] :
( ( ( y != X0 )
& ( x != X0 ) )
| ( z
!= ( g @ X0 ) ) )
& ( ( z
= ( g @ x ) )
| ( z
= ( g @ y ) ) ) ),
inference(ennf_transformation,[],[f2]) ).
thf(f4,plain,
( ( z
= ( g @ x ) )
| ( z
= ( g @ y ) ) ),
inference(cnf_transformation,[],[f3]) ).
thf(f5,plain,
! [X0: b] :
( ( x != X0 )
| ( z
!= ( g @ X0 ) ) ),
inference(cnf_transformation,[],[f3]) ).
thf(f6,plain,
! [X0: b] :
( ( y != X0 )
| ( z
!= ( g @ X0 ) ) ),
inference(cnf_transformation,[],[f3]) ).
thf(f7,plain,
( z
!= ( g @ y ) ),
inference(equality_resolution,[],[f6]) ).
thf(f8,plain,
( z
!= ( g @ x ) ),
inference(equality_resolution,[],[f5]) ).
thf(f10,definition,
( spl0_1
<=> ( z
= ( g @ y ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f13,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f7,f10]) ).
thf(f15,definition,
( spl0_2
<=> ( z
= ( g @ x ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f18,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f8,f15]) ).
thf(f19,plain,
( spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f4,f10,f15]) ).
cnf(s1,plain,
~ spl0_1,
inference(sat_conversion,[],[f13]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f18]) ).
cnf(s3,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f19]) ).
cnf(s4,plain,
spl0_1,
inference(rat,[],[s3,s2]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4]) ).
thf(f20,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU888^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.16 % Computer : n019.cluster.edu
% 0.11/0.16 % Model : x86_64 x86_64
% 0.11/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.16 % Memory : 8046.5625MB
% 0.11/0.16 % OS : Linux 6.8.0-71-generic
% 0.11/0.16 % CPULimit : 300
% 0.11/0.16 % WCLimit : 300
% 0.11/0.16 % DateTime : Tue Sep 29 14:44:18 UTC 2026
% 0.11/0.16 % CPUTime :
% 0.11/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.20 Running higher-order theorem proving
% 0.11/0.21 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
% 0.11/0.25 % (876756)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.11/0.25 % (876764)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1571675621:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.11/0.25 % (876764) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-876756-876764"...
% 0.11/0.25 % (876764)...printing done.
% 0.11/0.25 % (876764)Refutation found. Thanks to Tanya!
% 0.11/0.25 % SZS status Theorem for theBenchmark
% 0.11/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.25 % (876764)------------------------------
% 0.11/0.25 % (876764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.25 % (876764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.25 % (876764)CaDiCaL version: 2.1.3
% 0.11/0.25 % (876764)Termination reason: Refutation
% 0.11/0.25 % (876764)Time elapsed: 0.001 s
% 0.11/0.25 % (876764)Peak memory usage: 12 MB
% 0.11/0.25 % (876764)Instructions burned: 1 (million)
% 0.11/0.25 % (876756)Success in time 0.026 s
% 0.11/0.25 % Vampire exiting
%------------------------------------------------------------------------------