%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL579^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 08:14:23 AM UTC 2026
% Result : Theorem 0.24s 0.37s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 60 ( 22 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 66 ( 11 ~; 4 |; 6 &; 33 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 26 ( 0 ^; 20 !; 6 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_5,type,
sK2: $i > $o ).
thf(func_def_6,type,
vNOT: $o > $o ).
thf(func_def_7,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_8,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_9,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f1,conjecture,
! [X1: $i,X0: $i] :
( ! [X2: $i > $o] :
( ( X2 @ X0 )
=> ( X2 @ X1 ) )
=> ! [X2: $i > $o] :
( ( X2 @ X1 )
=> ( X2 @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a) ).
thf(f2,negated_conjecture,
~ ! [X1: $i,X0: $i] :
( ! [X2: $i > $o] :
( ( X2 @ X0 )
=> ( X2 @ X1 ) )
=> ! [X2: $i > $o] :
( ( X2 @ X1 )
=> ( X2 @ X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: $i,X1: $i] :
( ! [X2: $i > $o] :
( ( X2 @ X1 )
=> ( X2 @ X0 ) )
=> ! [X3: $i > $o] :
( ( X3 @ X0 )
=> ( X3 @ X1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X1: $i,X0: $i] :
( ! [X2: $i > $o] :
( ( ( X2 @ X1 )
= $true )
=> ( ( X2 @ X0 )
= $true ) )
=> ! [X3: $i > $o] :
( ( ( X3 @ X0 )
= $true )
=> ( ( X3 @ X1 )
= $true ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
? [X0: $i,X1: $i] :
( ? [X3: $i > $o] :
( ( ( X3 @ X1 )
!= $true )
& ( ( X3 @ X0 )
= $true ) )
& ! [X2: $i > $o] :
( ( ( X2 @ X1 )
!= $true )
| ( ( X2 @ X0 )
= $true ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
? [X0: $i,X1: $i] :
( ? [X2: $i > $o] :
( ( ( X2 @ X1 )
!= $true )
& ( ( X2 @ X0 )
= $true ) )
& ! [X3: $i > $o] :
( ( ( X3 @ X1 )
!= $true )
| ( ( X3 @ X0 )
= $true ) ) ),
inference(rectify,[],[f5]) ).
thf(f7,plain,
( ( $true
!= ( sK2 @ sK1 ) )
& ( $true
= ( sK2 @ sK0 ) )
& ! [X3: $i > $o] :
( ( ( X3 @ sK1 )
!= $true )
| ( ( X3 @ sK0 )
= $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f6]) ).
thf(f8,plain,
! [X3: $i > $o] :
( ( ( X3 @ sK1 )
!= $true )
| ( ( X3 @ sK0 )
= $true ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f9,plain,
( $true
= ( sK2 @ sK0 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f10,plain,
( $true
!= ( sK2 @ sK1 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f14,plain,
sK1 = sK0,
inference(leibniz_equality_elimination,[],[f8]) ).
thf(f24,plain,
( $true
= ( sK2 @ sK1 ) ),
inference(constrained_superposition,[],[f9,f14]) ).
thf(f25,plain,
$false,
inference(forward_subsumption_resolution,[],[f24,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL579^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.26 % Computer : n011.cluster.edu
% 0.11/0.26 % Model : x86_64 x86_64
% 0.11/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.26 % Memory : 8046.5625MB
% 0.11/0.26 % OS : Linux 6.8.0-71-generic
% 0.11/0.26 % CPULimit : 300
% 0.11/0.26 % WCLimit : 300
% 0.11/0.26 % DateTime : Tue Sep 29 08:54:01 UTC 2026
% 0.11/0.26 % CPUTime :
% 0.11/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.32 Running higher-order theorem proving
% 0.24/0.33 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
% 0.24/0.37 % (4018618)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.24/0.37 % (4018625)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1966832223:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.24/0.37 % (4018625) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4018618-4018625"...
% 0.24/0.37 % (4018625)...printing done.
% 0.24/0.37 % (4018625)Refutation found. Thanks to Tanya!
% 0.24/0.37 % SZS status Theorem for theBenchmark
% 0.24/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.37 % (4018625)------------------------------
% 0.24/0.37 % (4018625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.37 % (4018625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.37 % (4018625)CaDiCaL version: 2.1.3
% 0.24/0.37 % (4018625)Termination reason: Refutation
% 0.24/0.37 % (4018625)Time elapsed: 0.002 s
% 0.24/0.37 % (4018625)Peak memory usage: 12 MB
% 0.24/0.37 % (4018625)Instructions burned: 1 (million)
% 0.24/0.37 % (4018618)Success in time 0.025 s
% 0.24/0.37 % Vampire exiting
%------------------------------------------------------------------------------