%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET599^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 08:23:19 AM UTC 2026
% Result : Theorem 0.08s 0.18s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 94 ( 41 equ; 0 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 139 ( 34 ~; 14 |; 27 &; 59 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 0 ^; 15 !; 9 ?; 24 :)
% 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 > $o ).
thf(func_def_5,type,
sK2: a ).
thf(f1,conjecture,
! [X0: a > $o,X2: a,X1: a > $o] :
( ( ( X0 @ X2 )
& ~ ( X1 @ X2 ) )
=> ( ( ( X0 @ X2 )
& ~ ( X1 @ X2 ) )
| ( ( X1 @ X2 )
& ~ ( X0 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBOOL_PROP_58_pme) ).
thf(f2,negated_conjecture,
~ ! [X0: a > $o,X2: a,X1: a > $o] :
( ( ( X0 @ X2 )
& ~ ( X1 @ X2 ) )
=> ( ( ( X0 @ X2 )
& ~ ( X1 @ X2 ) )
| ( ( X1 @ X2 )
& ~ ( X0 @ X2 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: a > $o,X1: a,X2: a > $o] :
( ( ( X0 @ X1 )
& ~ ( X2 @ X1 ) )
=> ( ( ( X0 @ X1 )
& ~ ( X2 @ X1 ) )
| ( ( X2 @ X1 )
& ~ ( X0 @ X1 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X0: a > $o,X1: a,X2: a > $o] :
( ( ( $true
= ( X0 @ X1 ) )
& ( $true
!= ( X2 @ X1 ) ) )
=> ( ( ( $true
= ( X0 @ X1 ) )
& ( $true
!= ( X2 @ X1 ) ) )
| ( ( $true
= ( X2 @ X1 ) )
& ( $true
!= ( X0 @ X1 ) ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
~ ! [X0: a > $o,X2: a > $o,X1: a] :
( ( ( $true
= ( X0 @ X1 ) )
& ( $true
!= ( X2 @ X1 ) ) )
=> ( ( ( $true
= ( X2 @ X1 ) )
& ( $true
!= ( X0 @ X1 ) ) )
| ( ( $true
= ( X0 @ X1 ) )
& ( $true
!= ( X2 @ X1 ) ) ) ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
? [X0: a > $o,X2: a > $o,X1: a] :
( ( ( $true
!= ( X2 @ X1 ) )
| ( $true
= ( X0 @ X1 ) ) )
& ( ( $true
!= ( X0 @ X1 ) )
| ( $true
= ( X2 @ X1 ) ) )
& ( $true
= ( X0 @ X1 ) )
& ( $true
!= ( X2 @ X1 ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f7,plain,
? [X0: a > $o,X2: a > $o,X1: a] :
( ( $true
!= ( X2 @ X1 ) )
& ( $true
= ( X0 @ X1 ) )
& ( ( $true
!= ( X2 @ X1 ) )
| ( $true
= ( X0 @ X1 ) ) )
& ( ( $true
!= ( X0 @ X1 ) )
| ( $true
= ( X2 @ X1 ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f8,plain,
? [X0: a > $o,X1: a > $o,X2: a] :
( ( ( X1 @ X2 )
!= $true )
& ( ( X0 @ X2 )
= $true )
& ( ( ( X1 @ X2 )
!= $true )
| ( ( X0 @ X2 )
= $true ) )
& ( ( ( X0 @ X2 )
!= $true )
| ( ( X1 @ X2 )
= $true ) ) ),
inference(rectify,[],[f7]) ).
thf(f9,plain,
( ( $true
!= ( sK1 @ sK2 ) )
& ( $true
= ( sK0 @ sK2 ) )
& ( ( $true
!= ( sK1 @ sK2 ) )
| ( $true
= ( sK0 @ sK2 ) ) )
& ( ( $true
!= ( sK0 @ sK2 ) )
| ( $true
= ( sK1 @ sK2 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f8]) ).
thf(f10,plain,
( ( $true
= ( sK1 @ sK2 ) )
| ( $true
!= ( sK0 @ sK2 ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f12,plain,
( $true
= ( sK0 @ sK2 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f13,plain,
( $true
!= ( sK1 @ sK2 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f15,plain,
( $true
!= ( sK0 @ sK2 ) ),
inference(forward_subsumption_resolution,[],[f10,f13]) ).
thf(f16,plain,
$false,
inference(forward_subsumption_resolution,[],[f15,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET599^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Sep 29 13:38:19 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.13 Running higher-order theorem proving
% 0.08/0.14 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
% 0.08/0.18 % (111712)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.08/0.18 % (111721)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=685102583:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.08/0.18 % (111718)lrs+10_16_si=on:nwc=1.5:random_seed=585123153:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.08/0.18 % (111717)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=139424091:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.08/0.18 % (111719)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2513345712:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.08/0.18 % (111722)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=596105158:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.08/0.18 % (111720)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=2773401710: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)
% 0.08/0.18 % (111718) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-111712-111718"...
% 0.08/0.18 % (111719) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-111712-111719"...
% 0.08/0.18 % (111721) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-111712-111721"...
% 0.08/0.18 % (111717) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-111712-111717"...
% 0.08/0.18 % (111722) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-111712-111722"...
% 0.08/0.18 % (111720) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-111712-111720"...
% 0.08/0.18 % (111721)...printing done.
% 0.08/0.18 % (111718)...printing done.
% 0.08/0.18 % (111719)...printing done.
% 0.08/0.18 % (111717)...printing done.
% 0.08/0.18 % (111722)...printing done.
% 0.08/0.18 % (111720)...printing done.
% 0.08/0.18 % (111723)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.08/0.18 % (111723)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
% 0.08/0.18 % (111721)Refutation found. Thanks to Tanya!
% 0.08/0.18 % SZS status Theorem for theBenchmark
% 0.08/0.18 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.18 % (111721)------------------------------
% 0.08/0.18 % (111721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.18 % (111721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.18 % (111721)CaDiCaL version: 2.1.3
% 0.08/0.18 % (111721)Termination reason: Refutation
% 0.08/0.18 % (111721)Time elapsed: 0.001 s
% 0.08/0.18 % (111721)Peak memory usage: 12 MB
% 0.08/0.18 % (111721)Instructions burned: 1 (million)
% 0.08/0.18 % (111712)Success in time 0.029 s
% 0.08/0.18 % Vampire exiting
%------------------------------------------------------------------------------