%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO202^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 08:49:29 AM UTC 2026
% Result : Theorem 0.09s 0.25s
% Output : Refutation 0.09s
% 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 : 51 ( 24 equ; 0 cnn)
% Maximal formula atoms : 2 ( 4 avg)
% Number of connectives : 37 ( 15 ~; 0 |; 6 &; 16 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 2 con; 0-3 aty)
% Number of variables : 5 ( 0 ^; 0 !; 5 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_4,type,
sK0: $o > $o ).
thf(f1,conjecture,
~ ? [X0: $o > $o] :
( ~ ( X0 @ ( X0 = X0 ) )
& ( X0 @ ( X0 = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cCT22) ).
thf(f2,negated_conjecture,
~ ~ ? [X0: $o > $o] :
( ~ ( X0 @ ( X0 = X0 ) )
& ( X0 @ ( X0 = X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ~ ? [X0: $o > $o] :
( ~ ( X0 @ ( X0 = X0 ) )
& ( X0 @ ( X0 = X0 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ~ ? [X0: $o > $o] :
( ( ( X0 @ ( X0 = X0 ) )
!= $true )
& ( ( X0 @ ( X0 = X0 ) )
= $true ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
? [X0: $o > $o] :
( ( ( X0 @ ( X0 = X0 ) )
!= $true )
& ( ( X0 @ ( X0 = X0 ) )
= $true ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
( ( $true
!= ( sK0 @ ( sK0 = sK0 ) ) )
& ( $true
= ( sK0 @ ( sK0 = sK0 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f5]) ).
thf(f7,plain,
( $true
= ( sK0 @ ( sK0 = sK0 ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f8,plain,
( $true
!= ( sK0 @ ( sK0 = sK0 ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f11,plain,
( $true
= ( sK0 @ $true ) ),
inference(boolean_simplification,[],[f7]) ).
thf(f12,plain,
( $true
!= ( sK0 @ $true ) ),
inference(boolean_simplification,[],[f8]) ).
thf(f13,plain,
$false,
inference(forward_subsumption_resolution,[],[f12,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO202^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n015.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 16:42:33 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.25 % (3767621)Will run a generic schedule for satisfiability detection.
% 0.09/0.25 % (3767630)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3418774548:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.09/0.25 % (3767630)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.25 % (3767630) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3767621-3767630"...
% 0.09/0.25 % (3767630)...printing done.
% 0.09/0.25 % (3767627)% WARNING: option uhcvi not known.
% 0.09/0.25 % (3767630)Refutation found. Thanks to Tanya!
% 0.09/0.25 % SZS status Theorem for theBenchmark
% 0.09/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.25 % (3767630)------------------------------
% 0.09/0.25 % (3767630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25 % (3767630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25 % (3767630)CaDiCaL version: 2.1.3
% 0.09/0.25 % (3767630)Termination reason: Refutation
% 0.09/0.25 % (3767630)Time elapsed: 0.001 s
% 0.09/0.25 % (3767630)Peak memory usage: 11 MB
% 0.09/0.25 % (3767621)Success in time 0.017 s
% 0.09/0.25 % Vampire exiting
%------------------------------------------------------------------------------