%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV161^5 : 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 : n004.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 08:37:56 AM UTC 2026
% Result : Theorem 0.22s 0.31s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 30 ( 11 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 51 ( 6 ~; 2 |; 0 &; 40 @)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 0 ^; 12 !; 3 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
sK0: a ).
thf(func_def_2,type,
sK1: a ).
thf(func_def_3,type,
sK2: a > a > $o ).
thf(f1,conjecture,
! [X2: a,X1: a,X0: a > a > $o] :
( ( X0 @ X1 @ X2 )
<=> ( X0 @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM183_pme) ).
thf(f2,negated_conjecture,
~ ! [X2: a,X1: a,X0: a > a > $o] :
( ( X0 @ X1 @ X2 )
<=> ( X0 @ X1 @ X2 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: a,X1: a,X2: a > a > $o] :
( ( X2 @ X1 @ X0 )
<=> ( X2 @ X1 @ X0 ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X2: a > a > $o,X1: a,X0: a] :
( ( X2 @ X1 @ X0 )
= ( X2 @ X1 @ X0 ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
? [X0: a,X1: a,X2: a > a > $o] :
( ( X2 @ X1 @ X0 )
!= ( X2 @ X1 @ X0 ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
( ( sK2 @ sK1 @ sK0 )
!= ( sK2 @ sK1 @ sK0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f5]) ).
thf(f7,plain,
( ( sK2 @ sK1 @ sK0 )
!= ( sK2 @ sK1 @ sK0 ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f9,plain,
( ( $true
= ( sK2 @ sK1 @ sK0 ) )
| ( $true
= ( sK2 @ sK1 @ sK0 ) ) ),
inference(xor_proxy_clausification,[],[f7]) ).
thf(f10,plain,
( ( ( sK2 @ sK1 @ sK0 )
= $false )
| ( ( sK2 @ sK1 @ sK0 )
= $false ) ),
inference(xor_proxy_clausification,[],[f7]) ).
thf(f11,plain,
( ( sK2 @ sK1 @ sK0 )
= $false ),
inference(duplicate_literal_removal,[],[f10]) ).
thf(f12,plain,
( $true
= ( sK2 @ sK1 @ sK0 ) ),
inference(duplicate_literal_removal,[],[f9]) ).
thf(f13,plain,
$true = $false,
inference(forward_demodulation,[],[f12,f11]) ).
thf(f14,plain,
$false,
inference(trivial_inequality_removal,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV161^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 % Computer : n004.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Sep 29 15:17:37 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.08/0.26 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
% 0.22/0.31 % (1418493)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.31 % (1418502)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1607403566:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.31 % (1418500)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=145830825:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.31 % (1418499)lrs+10_16_si=on:nwc=1.5:random_seed=708227190:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.31 % (1418498)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4138368807:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.31 % (1418501)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=381964945: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)
% 0.22/0.31 % (1418502) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1418493-1418502"...
% 0.22/0.31 % (1418500) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1418493-1418500"...
% 0.22/0.31 % (1418499) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1418493-1418499"...
% 0.22/0.31 % (1418498) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1418493-1418498"...
% 0.22/0.31 % (1418502)...printing done.
% 0.22/0.31 % (1418501) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1418493-1418501"...
% 0.22/0.31 % (1418500)...printing done.
% 0.22/0.31 % (1418499)...printing done.
% 0.22/0.31 % (1418498)...printing done.
% 0.22/0.31 % (1418502)Refutation found. Thanks to Tanya!
% 0.22/0.31 % SZS status Theorem for theBenchmark
% 0.22/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.31 % (1418502)------------------------------
% 0.22/0.31 % (1418502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.31 % (1418502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.31 % (1418502)CaDiCaL version: 2.1.3
% 0.22/0.31 % (1418502)Termination reason: Refutation
% 0.22/0.31 % (1418502)Time elapsed: 0.001 s
% 0.22/0.31 % (1418502)Peak memory usage: 12 MB
% 0.22/0.31 % (1418493)Success in time 0.043 s
% 0.22/0.31 % Vampire exiting
%------------------------------------------------------------------------------