%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU887^5 : 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 : n006.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 0.25s 0.37s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 60 ( 39 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 105 ( 20 ~; 10 |; 18 &; 53 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 47 ( 0 ^; 25 !; 22 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
b: $tType ).
thf(type_def_6,type,
a: $tType ).
thf(type_def_7,type,
c: $tType ).
thf(type_def_8,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_3,type,
sK0: c > $o ).
thf(func_def_4,type,
sK1: a ).
thf(func_def_5,type,
sK2: b > a ).
thf(func_def_6,type,
sK3: c > b ).
thf(func_def_7,type,
sK4: c ).
thf(f1,conjecture,
! [X0: b > a,X2: c > $o,X1: c > b,X3: a] :
( ? [X4: c] :
( ( X3
= ( X0 @ ( X1 @ X4 ) ) )
& ( X2 @ X4 ) )
=> ? [X4: b] :
( ( X3
= ( X0 @ X4 ) )
& ? [X5: c] :
( ( X4
= ( X1 @ X5 ) )
& ( X2 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM28_pme) ).
thf(f2,negated_conjecture,
~ ! [X0: b > a,X2: c > $o,X1: c > b,X3: a] :
( ? [X4: c] :
( ( X3
= ( X0 @ ( X1 @ X4 ) ) )
& ( X2 @ X4 ) )
=> ? [X4: b] :
( ( X3
= ( X0 @ X4 ) )
& ? [X5: c] :
( ( X4
= ( X1 @ X5 ) )
& ( X2 @ X5 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: b > a,X1: c > $o,X2: c > b,X3: a] :
( ? [X4: c] :
( ( ( X0 @ ( X2 @ X4 ) )
= X3 )
& ( X1 @ X4 ) )
=> ? [X5: b] :
( ( ( X0 @ X5 )
= X3 )
& ? [X6: c] :
( ( ( X2 @ X6 )
= X5 )
& ( X1 @ X6 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X2: c > b,X3: a,X0: b > a,X1: c > $o] :
( ? [X4: c] :
( ( $true
= ( X1 @ X4 ) )
& ( ( X0 @ ( X2 @ X4 ) )
= X3 ) )
=> ? [X5: b] :
( ( ( X0 @ X5 )
= X3 )
& ? [X6: c] :
( ( ( X1 @ X6 )
= $true )
& ( ( X2 @ X6 )
= X5 ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
? [X1: c > $o,X3: a,X0: b > a,X2: c > b] :
( ! [X5: b] :
( ! [X6: c] :
( ( ( X2 @ X6 )
!= X5 )
| ( ( X1 @ X6 )
!= $true ) )
| ( ( X0 @ X5 )
!= X3 ) )
& ? [X4: c] :
( ( $true
= ( X1 @ X4 ) )
& ( ( X0 @ ( X2 @ X4 ) )
= X3 ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
? [X0: c > $o,X1: a,X2: b > a,X3: c > b] :
( ! [X4: b] :
( ! [X5: c] :
( ( ( X3 @ X5 )
!= X4 )
| ( ( X0 @ X5 )
!= $true ) )
| ( ( X2 @ X4 )
!= X1 ) )
& ? [X6: c] :
( ( ( X0 @ X6 )
= $true )
& ( ( X2 @ ( X3 @ X6 ) )
= X1 ) ) ),
inference(rectify,[],[f5]) ).
thf(f7,plain,
( ! [X4: b] :
( ! [X5: c] :
( ( ( sK3 @ X5 )
!= X4 )
| ( ( sK0 @ X5 )
!= $true ) )
| ( ( sK2 @ X4 )
!= sK1 ) )
& ( $true
= ( sK0 @ sK4 ) )
& ( ( sK2 @ ( sK3 @ sK4 ) )
= sK1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X6,sK4)],[f6]) ).
thf(f8,plain,
( ( sK2 @ ( sK3 @ sK4 ) )
= sK1 ),
inference(cnf_transformation,[],[f7]) ).
thf(f9,plain,
( $true
= ( sK0 @ sK4 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f10,plain,
! [X4: b,X5: c] :
( ( ( sK3 @ X5 )
!= X4 )
| ( ( sK0 @ X5 )
!= $true )
| ( ( sK2 @ X4 )
!= sK1 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f12,plain,
! [X5: c] :
( ( ( sK2 @ ( sK3 @ X5 ) )
!= sK1 )
| ( ( sK0 @ X5 )
!= $true ) ),
inference(equality_resolution,[],[f10]) ).
thf(f13,plain,
( ( sK1 != sK1 )
| ( $true
!= ( sK0 @ sK4 ) ) ),
inference(superposition,[],[f12,f8]) ).
thf(f14,plain,
( $true
!= ( sK0 @ sK4 ) ),
inference(trivial_inequality_removal,[],[f13]) ).
thf(f15,plain,
$false,
inference(forward_subsumption_resolution,[],[f14,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU887^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.28 % Computer : n006.cluster.edu
% 0.25/0.28 % Model : x86_64 x86_64
% 0.25/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.28 % Memory : 8046.5625MB
% 0.25/0.28 % OS : Linux 6.8.0-71-generic
% 0.25/0.28 % CPULimit : 300
% 0.25/0.28 % WCLimit : 300
% 0.25/0.28 % DateTime : Tue Sep 29 14:43:09 UTC 2026
% 0.25/0.28 % CPUTime :
% 0.25/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.32 Running higher-order theorem proving
% 0.25/0.33 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
% 0.25/0.37 % (817875)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.25/0.37 % (817884)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1425311785:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.25/0.37 % (817884) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-817875-817884"...
% 0.25/0.37 % (817884)...printing done.
% 0.25/0.37 % (817884)Refutation found. Thanks to Tanya!
% 0.25/0.37 % SZS status Theorem for theBenchmark
% 0.25/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.37 % (817884)------------------------------
% 0.25/0.37 % (817884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.37 % (817884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.37 % (817884)CaDiCaL version: 2.1.3
% 0.25/0.37 % (817884)Termination reason: Refutation
% 0.25/0.37 % (817884)Time elapsed: 0.002 s
% 0.25/0.37 % (817884)Peak memory usage: 12 MB
% 0.25/0.37 % (817884)Instructions burned: 1 (million)
% 0.25/0.37 % (817875)Success in time 0.025 s
% 0.25/0.37 % Vampire exiting
%------------------------------------------------------------------------------