%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET196^5 : 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 : n012.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 08:23:15 AM UTC 2026
% Result : Theorem 0.08s 0.16s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 40 ( 17 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 50 ( 8 ~; 0 |; 12 &; 26 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 0 ^; 12 !; 9 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_3,type,
sK0: a > $o ).
thf(func_def_4,type,
sK1: a ).
thf(func_def_5,type,
sK2: a > $o ).
thf(f1,conjecture,
! [X0: a > $o,X1: a > $o,X2: a] :
( ( ( X0 @ X2 )
& ( X1 @ X2 ) )
=> ( X0 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBOOL_PROP_37_pme) ).
thf(f2,negated_conjecture,
~ ! [X0: a > $o,X1: a > $o,X2: a] :
( ( ( X0 @ X2 )
& ( X1 @ X2 ) )
=> ( X0 @ X2 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a] :
( ( ( X0 @ X2 )
& ( X1 @ X2 ) )
=> ( X0 @ X2 ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X1: a > $o,X0: a > $o,X2: a] :
( ( ( ( X0 @ X2 )
= $true )
& ( ( X1 @ X2 )
= $true ) )
=> ( ( X0 @ X2 )
= $true ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
? [X1: a > $o,X0: a > $o,X2: a] :
( ( ( X0 @ X2 )
!= $true )
& ( ( X0 @ X2 )
= $true )
& ( ( X1 @ X2 )
= $true ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
? [X0: a > $o,X2: a,X1: a > $o] :
( ( ( X0 @ X2 )
!= $true )
& ( ( X0 @ X2 )
= $true )
& ( ( X1 @ X2 )
= $true ) ),
inference(flattening,[],[f5]) ).
thf(f7,plain,
? [X0: a > $o,X1: a,X2: a > $o] :
( ( ( X0 @ X1 )
!= $true )
& ( ( X0 @ X1 )
= $true )
& ( ( X2 @ X1 )
= $true ) ),
inference(rectify,[],[f6]) ).
thf(f8,plain,
( ( ( sK0 @ sK1 )
!= $true )
& ( ( sK0 @ sK1 )
= $true )
& ( ( sK2 @ sK1 )
= $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f7]) ).
thf(f10,plain,
( ( sK0 @ sK1 )
= $true ),
inference(cnf_transformation,[],[f8]) ).
thf(f11,plain,
( ( sK0 @ sK1 )
!= $true ),
inference(cnf_transformation,[],[f8]) ).
thf(f14,plain,
$false,
inference(forward_subsumption_resolution,[],[f11,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET196^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 13:37:03 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running higher-order theorem proving
% 0.08/0.13 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
% 0.08/0.16 % (108738)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.08/0.16 % (108749)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.08/0.16 % (108749)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
% 0.08/0.16 % (108746)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=2267115504: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)
% 0.08/0.16 % (108743)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=270776008:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.08/0.16 % (108744)lrs+10_16_si=on:nwc=1.5:random_seed=3760111416:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.08/0.16 % (108745)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2451598445:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.08/0.16 % (108747)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3155733088:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.08/0.16 % (108749)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=2821139547:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.08/0.16 % (108748)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2865348311:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.08/0.16 % (108744) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-108738-108744"...
% 0.08/0.16 % (108743) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-108738-108743"...
% 0.08/0.16 % (108745) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-108738-108745"...
% 0.08/0.16 % (108747) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-108738-108747"...
% 0.08/0.16 % (108746) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-108738-108746"...
% 0.08/0.16 % (108748) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-108738-108748"...
% 0.08/0.16 % (108749) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-108738-108749"...
% 0.08/0.16 % (108743)...printing done.
% 0.08/0.16 % (108744)...printing done.
% 0.08/0.16 % (108745)...printing done.
% 0.08/0.16 % (108747)...printing done.
% 0.08/0.16 % (108746)...printing done.
% 0.08/0.16 % (108748)...printing done.
% 0.08/0.16 % (108749)...printing done.
% 0.08/0.16 % (108745)Refutation found. Thanks to Tanya!
% 0.08/0.16 % SZS status Theorem for theBenchmark
% 0.08/0.16 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.16 % (108745)------------------------------
% 0.08/0.16 % (108745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.16 % (108745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.16 % (108745)CaDiCaL version: 2.1.3
% 0.08/0.16 % (108745)Termination reason: Refutation
% 0.08/0.16 % (108745)Time elapsed: 0.0000 s
% 0.08/0.16 % (108745)Peak memory usage: 11 MB
% 0.08/0.16 % (108738)Success in time 0.025 s
% 0.08/0.16 % Vampire exiting
%------------------------------------------------------------------------------