%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO202^5 : 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 : 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 08:47:11 AM UTC 2026
% Result : Theorem 0.21s 0.29s
% Output : Refutation 0.21s
% 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/sandbox/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] :
( ( $true
!= ( X0 @ ( X0 = X0 ) ) )
& ( $true
= ( X0 @ ( X0 = X0 ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
? [X0: $o > $o] :
( ( $true
!= ( X0 @ ( X0 = X0 ) ) )
& ( $true
= ( X0 @ ( X0 = X0 ) ) ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
( ( ( sK0 @ ( sK0 = sK0 ) )
!= $true )
& ( ( sK0 @ ( sK0 = sK0 ) )
= $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f5]) ).
thf(f7,plain,
( ( sK0 @ ( sK0 = sK0 ) )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f8,plain,
( ( sK0 @ ( sK0 = sK0 ) )
!= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f11,plain,
( $true
!= ( sK0 @ $true ) ),
inference(boolean_simplification,[],[f8]) ).
thf(f12,plain,
( $true
= ( sK0 @ $true ) ),
inference(boolean_simplification,[],[f7]) ).
thf(f13,plain,
$false,
inference(forward_subsumption_resolution,[],[f12,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO202^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n015.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 16:42:33 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.24 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
% 0.21/0.29 % (3767562)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.29 % (3767586)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.29 % (3767586)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.21/0.29 % (3767580)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=38795375:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.29 % (3767582)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1889742626:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.29 % (3767581)lrs+10_16_si=on:nwc=1.5:random_seed=1752897806:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.29 % (3767586)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1208798451:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.29 % (3767580) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3767562-3767580"...
% 0.21/0.29 % (3767582) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3767562-3767582"...
% 0.21/0.29 % (3767581) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3767562-3767581"...
% 0.21/0.29 % (3767580)...printing done.
% 0.21/0.29 % (3767582)...printing done.
% 0.21/0.29 % (3767581)...printing done.
% 0.21/0.29 % (3767586) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3767562-3767586"...
% 0.21/0.29 % (3767581)Refutation found. Thanks to Tanya!
% 0.21/0.29 % SZS status Theorem for theBenchmark
% 0.21/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.29 % (3767581)------------------------------
% 0.21/0.29 % (3767581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (3767581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (3767581)CaDiCaL version: 2.1.3
% 0.21/0.29 % (3767581)Termination reason: Refutation
% 0.21/0.29 % (3767581)Time elapsed: 0.002 s
% 0.21/0.29 % (3767581)Peak memory usage: 11 MB
% 0.21/0.29 % (3767562)Success in time 0.045 s
% 0.21/0.29 % Vampire exiting
%------------------------------------------------------------------------------