%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO200^5 : 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 : n007.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 0.30s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 29 ( 11 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 32 ( 9 ~; 0 |; 3 &; 16 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 21 ( 1 ^; 12 !; 8 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_3,type,
sK0: $o ).
thf(func_def_4,type,
sK1: $o ).
thf(func_def_5,type,
vNOT: $o > $o ).
thf(func_def_6,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_7,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f1,conjecture,
! [X1: $o,X0: $o] :
? [X2: $o > $o] :
( ( X2 @ X0 )
=> ( X2 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cCT4) ).
thf(f2,negated_conjecture,
~ ! [X1: $o,X0: $o] :
? [X2: $o > $o] :
( ( X2 @ X0 )
=> ( X2 @ X1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: $o,X1: $o] :
? [X2: $o > $o] :
( ( X2 @ X1 )
=> ( X2 @ X0 ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X1: $o,X0: $o] :
? [X2: $o > $o] :
( ( ( X2 @ X1 )
= $true )
=> ( ( X2 @ X0 )
= $true ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
? [X1: $o,X0: $o] :
! [X2: $o > $o] :
( ( ( X2 @ X1 )
= $true )
& ( ( X2 @ X0 )
!= $true ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
? [X0: $o,X1: $o] :
! [X2: $o > $o] :
( ( ( X2 @ X0 )
= $true )
& ( ( X2 @ X1 )
!= $true ) ),
inference(rectify,[],[f5]) ).
thf(f7,plain,
! [X2: $o > $o] :
( ( ( X2 @ sK0 )
= $true )
& ( ( X2 @ sK1 )
!= $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f6]) ).
thf(f8,plain,
! [X2: $o > $o] :
( ( X2 @ sK1 )
!= $true ),
inference(cnf_transformation,[],[f7]) ).
thf(f16,plain,
( $true
!= ( ^ [Y0: $o] : $true
@ sK1 ) ),
inference(imitation,[],[f8]) ).
thf(f17,plain,
$true != $true,
inference(beta-eta_normalization,[],[f16]) ).
thf(f18,plain,
$false,
inference(trivial_inequality_removal,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO200^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n007.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 16:37:11 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.08/0.25 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
% 0.21/0.30 % (3611573)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.30 % (3611584)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.30 % (3611584)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
% 0.21/0.30 % (3611580)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1032995242:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.30 % (3611578)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=789280342:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.30 % (3611579)lrs+10_16_si=on:nwc=1.5:random_seed=4013746499:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.30 % (3611582)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2165710978:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.30 % (3611583)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1865551573:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.30 % (3611581)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=3000378679: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)
% 0.21/0.30 % (3611584)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=2851021199:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.30 % (3611582) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3611573-3611582"...
% 0.21/0.30 % (3611580) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3611573-3611580"...
% 0.21/0.30 % (3611578) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3611573-3611578"...
% 0.21/0.30 % (3611579) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3611573-3611579"...
% 0.21/0.30 % (3611583) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3611573-3611583"...
% 0.21/0.30 % (3611581) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3611573-3611581"...
% 0.21/0.30 % (3611582)...printing done.
% 0.21/0.30 % (3611580)...printing done.
% 0.21/0.30 % (3611579)...printing done.
% 0.21/0.30 % (3611578)...printing done.
% 0.21/0.30 % (3611584)Refutation not found, incomplete strategy
% 0.21/0.30 % (3611584)------------------------------
% 0.21/0.30 % (3611584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.30 % (3611583)...printing done.
% 0.21/0.30 % (3611584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.30 % (3611584)CaDiCaL version: 2.1.3
% 0.21/0.30 % (3611584)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.30 % (3611584)Time elapsed: 0.002 s
% 0.21/0.30 % (3611584)Peak memory usage: 12 MB
% 0.21/0.30 % (3611584)Instructions burned: 2 (million)
% 0.21/0.30 % (3611581)...printing done.
% 0.21/0.30 % (3611582)Refutation found. Thanks to Tanya!
% 0.21/0.30 % SZS status Theorem for theBenchmark
% 0.21/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.30 % (3611582)------------------------------
% 0.21/0.30 % (3611582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.30 % (3611582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.30 % (3611582)CaDiCaL version: 2.1.3
% 0.21/0.30 % (3611582)Termination reason: Refutation
% 0.21/0.30 % (3611582)Time elapsed: 0.001 s
% 0.21/0.30 % (3611582)Peak memory usage: 12 MB
% 0.21/0.30 % (3611573)Success in time 0.039 s
% 0.21/0.30 % Vampire exiting
%------------------------------------------------------------------------------