%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO216^5 : 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 : n001.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 08:47:13 AM UTC 2026
% Result : Theorem 0.24s 0.33s
% Output : Refutation 0.24s
% 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 : 9 ( 8 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 55 ( 7 ~; 0 |; 0 &; 48 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 1 con; 0-4 aty)
% Number of variables : 34 ( 16 ^; 12 !; 6 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
b: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_2,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_3,type,
sK0: b > b ).
thf(func_def_4,type,
sK1: b > b ).
thf(func_def_5,type,
sK2: b > b ).
thf(f1,conjecture,
! [X2: b > b,X1: b > b,X0: b > b] :
( ( ^ [X3: b] : ( X0 @ ( X1 @ ( X2 @ X3 ) ) ) )
= ( ^ [X3: b] : ( X0 @ ( X1 @ ( X2 @ X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM107_pme) ).
thf(f2,negated_conjecture,
~ ! [X2: b > b,X1: b > b,X0: b > b] :
( ( ^ [X3: b] : ( X0 @ ( X1 @ ( X2 @ X3 ) ) ) )
= ( ^ [X3: b] : ( X0 @ ( X1 @ ( X2 @ X3 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: b > b,X1: b > b,X2: b > b] :
( ( ^ [X3: b] : ( X2 @ ( X1 @ ( X0 @ X3 ) ) ) )
= ( ^ [X4: b] : ( X2 @ ( X1 @ ( X0 @ X4 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X0: b > b,X1: b > b,X2: b > b] :
( ( ^ [Y0: b] : ( X2 @ ( X1 @ ( X0 @ Y0 ) ) ) )
= ( ^ [Y0: b] : ( X2 @ ( X1 @ ( X0 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
? [X1: b > b,X0: b > b,X2: b > b] :
( ( ^ [Y0: b] : ( X2 @ ( X1 @ ( X0 @ Y0 ) ) ) )
!= ( ^ [Y0: b] : ( X2 @ ( X1 @ ( X0 @ Y0 ) ) ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
? [X0: b > b,X1: b > b,X2: b > b] :
( ( ^ [Y0: b] : ( X2 @ ( X0 @ ( X1 @ Y0 ) ) ) )
!= ( ^ [Y0: b] : ( X2 @ ( X0 @ ( X1 @ Y0 ) ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f7,plain,
( ( ^ [Y0: b] : ( sK2 @ ( sK0 @ ( sK1 @ Y0 ) ) ) )
!= ( ^ [Y0: b] : ( sK2 @ ( sK0 @ ( sK1 @ Y0 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f6]) ).
thf(f8,plain,
( ( ^ [Y0: b] : ( sK2 @ ( sK0 @ ( sK1 @ Y0 ) ) ) )
!= ( ^ [Y0: b] : ( sK2 @ ( sK0 @ ( sK1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f9,plain,
$false,
inference(trivial_inequality_removal,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO216^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 % Computer : n001.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Tue Sep 29 16:45:36 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.28 Running higher-order theorem proving
% 0.24/0.30 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
% 0.24/0.33 % (1480892)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.24/0.33 % (1480900)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=1246605664: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)
% 0.24/0.33 % (1480900) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1480892-1480900"...
% 0.24/0.33 % (1480898)lrs+10_16_si=on:nwc=1.5:random_seed=238146352:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.24/0.33 % (1480900)...printing done.
% 0.24/0.33 % (1480898) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1480892-1480898"...
% 0.24/0.33 % (1480900)Refutation found. Thanks to Tanya!
% 0.24/0.33 % SZS status Theorem for theBenchmark
% 0.24/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.33 % (1480900)------------------------------
% 0.24/0.33 % (1480900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.33 % (1480900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.33 % (1480900)CaDiCaL version: 2.1.3
% 0.24/0.33 % (1480900)Termination reason: Refutation
% 0.24/0.33 % (1480900)Time elapsed: 0.001 s
% 0.24/0.33 % (1480900)Peak memory usage: 12 MB
% 0.24/0.33 % (1480900)Instructions burned: 1 (million)
% 0.24/0.33 % (1480892)Success in time 0.026 s
% 0.24/0.33 % Vampire exiting
%------------------------------------------------------------------------------