%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU882^5 : 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 : n009.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 08:31:52 AM UTC 2026
% Result : Theorem 0.21s 0.28s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 8 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 0 |; 0 &; 7 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 18 ( 1 ^; 10 !; 7 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_2,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_3,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f1,conjecture,
! [X0: $i] :
? [X2: $i,X1: $i > $i] :
( ( X1 @ X2 )
= X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM139_pme) ).
thf(f2,negated_conjecture,
~ ! [X0: $i] :
? [X2: $i,X1: $i > $i] :
( ( X1 @ X2 )
= X0 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: $i] :
? [X1: $i,X2: $i > $i] :
( ( X2 @ X1 )
= X0 ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
? [X0: $i] :
! [X1: $i,X2: $i > $i] :
( ( X2 @ X1 )
!= X0 ),
inference(ennf_transformation,[],[f3]) ).
thf(f5,plain,
! [X1: $i,X2: $i > $i] :
( sK0
!= ( X2 @ X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f4]) ).
thf(f6,plain,
! [X2: $i > $i,X1: $i] :
( sK0
!= ( X2 @ X1 ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f7,plain,
! [X1: $i] :
( ( ^ [Y0: $i] : sK0
@ X1 )
!= sK0 ),
inference(imitation,[],[f6]) ).
thf(f9,plain,
sK0 != sK0,
inference(beta-eta_normalization,[],[f7]) ).
thf(f10,plain,
$false,
inference(trivial_inequality_removal,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU882^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n009.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 14:43:45 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.23 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
% 0.21/0.28 % (4094396)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.28 % (4094401)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=303936179:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.28 % (4094402)lrs+10_16_si=on:nwc=1.5:random_seed=2579756724:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.28 % (4094403)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=403476437:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.28 % (4094403) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4094396-4094403"...
% 0.21/0.28 % (4094401) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4094396-4094401"...
% 0.21/0.28 % (4094402) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4094396-4094402"...
% 0.21/0.28 % (4094404)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=3070496608: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)
% 0.21/0.28 % (4094406)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=512214507:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.28 % (4094403)...printing done.
% 0.21/0.28 % (4094402)...printing done.
% 0.21/0.28 % (4094401)...printing done.
% 0.21/0.28 % (4094406) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4094396-4094406"...
% 0.21/0.28 % (4094406)...printing done.
% 0.21/0.28 % (4094404) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4094396-4094404"...
% 0.21/0.28 % (4094401)Refutation found. Thanks to Tanya!
% 0.21/0.28 % SZS status Theorem for theBenchmark
% 0.21/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.28 % (4094401)------------------------------
% 0.21/0.28 % (4094401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (4094401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (4094401)CaDiCaL version: 2.1.3
% 0.21/0.28 % (4094401)Termination reason: Refutation
% 0.21/0.28 % (4094401)Time elapsed: 0.001 s
% 0.21/0.28 % (4094401)Peak memory usage: 12 MB
% 0.21/0.28 % (4094396)Success in time 0.035 s
% 0.21/0.28 % Vampire exiting
%------------------------------------------------------------------------------