%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU887^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 08:34:20 AM UTC 2026
% Result : Theorem 0.28s 0.34s
% Output : Refutation 0.28s
% 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 : 61 ( 40 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 109 ( 21 ~; 11 |; 18 &; 55 @)
% ( 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 : 48 ( 0 ^; 26 !; 22 ?; 48 :)
% 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: b > a ).
thf(func_def_4,type,
sK1: c > b ).
thf(func_def_5,type,
sK2: c > $o ).
thf(func_def_6,type,
sK3: a ).
thf(func_def_7,type,
sK4: c ).
thf(f1,conjecture,
! [X0: b > a,X1: c > b,X2: c > $o,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/sandbox/benchmark/theBenchmark.p',cTHM28_pme) ).
thf(f2,negated_conjecture,
~ ! [X0: b > a,X1: c > b,X2: c > $o,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 > b,X2: c > $o,X3: a] :
( ? [X4: c] :
( ( X3
= ( X0 @ ( X1 @ X4 ) ) )
& ( X2 @ X4 ) )
=> ? [X5: b] :
( ( ( X0 @ X5 )
= X3 )
& ? [X6: c] :
( ( ( X1 @ X6 )
= X5 )
& ( X2 @ X6 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X0: b > a,X1: c > b,X2: c > $o,X3: a] :
( ? [X4: c] :
( ( ( X0 @ ( X1 @ X4 ) )
= X3 )
& ( ( X2 @ X4 )
= $true ) )
=> ? [X5: b] :
( ( ( X0 @ X5 )
= X3 )
& ? [X6: c] :
( ( ( X1 @ X6 )
= X5 )
& ( ( X2 @ X6 )
= $true ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
? [X0: b > a,X1: c > b,X2: c > $o,X3: a] :
( ! [X5: b] :
( ( ( X0 @ X5 )
!= X3 )
| ! [X6: c] :
( ( ( X1 @ X6 )
!= X5 )
| ( ( X2 @ X6 )
!= $true ) ) )
& ? [X4: c] :
( ( ( X0 @ ( X1 @ X4 ) )
= X3 )
& ( ( X2 @ X4 )
= $true ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
? [X0: b > a,X1: c > b,X2: c > $o,X3: a] :
( ! [X4: b] :
( ( ( X0 @ X4 )
!= X3 )
| ! [X5: c] :
( ( ( X1 @ X5 )
!= X4 )
| ( ( X2 @ X5 )
!= $true ) ) )
& ? [X6: c] :
( ( ( X0 @ ( X1 @ X6 ) )
= X3 )
& ( ( X2 @ X6 )
= $true ) ) ),
inference(rectify,[],[f5]) ).
thf(f7,plain,
( ! [X4: b] :
( ( sK3
!= ( sK0 @ X4 ) )
| ! [X5: c] :
( ( ( sK1 @ X5 )
!= X4 )
| ( $true
!= ( sK2 @ X5 ) ) ) )
& ( sK3
= ( sK0 @ ( sK1 @ sK4 ) ) )
& ( $true
= ( sK2 @ sK4 ) ) ),
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,
( $true
= ( sK2 @ sK4 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f9,plain,
( sK3
= ( sK0 @ ( sK1 @ sK4 ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f10,plain,
! [X4: b,X5: c] :
( ( sK3
!= ( sK0 @ X4 ) )
| ( ( sK1 @ X5 )
!= X4 )
| ( $true
!= ( sK2 @ X5 ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f13,plain,
! [X0: c] :
( ( sK3 != sK3 )
| ( ( sK1 @ sK4 )
!= ( sK1 @ X0 ) )
| ( $true
!= ( sK2 @ X0 ) ) ),
inference(constrained_superposition,[],[f10,f9]) ).
thf(f14,plain,
! [X0: c] :
( ( ( sK1 @ sK4 )
!= ( sK1 @ X0 ) )
| ( $true
!= ( sK2 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f13]) ).
thf(f15,plain,
( $true
!= ( sK2 @ sK4 ) ),
inference(equality_resolution,[],[f14]) ).
thf(f16,plain,
$false,
inference(forward_subsumption_resolution,[],[f15,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU887^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.25 % Computer : n010.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Tue Sep 29 14:43:48 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.28/0.31 Running first-order model finding
% 0.28/0.31 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.28/0.34 % (2952757)Will run a generic schedule for satisfiability detection.
% 0.28/0.34 % (2952767)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2746812485:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.28/0.34 % (2952767) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2952757-2952767"...
% 0.28/0.34 % (2952766)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2555173656:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.28/0.34 % (2952766)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.28/0.34 % (2952767)...printing done.
% 0.28/0.34 % (2952767)Refutation found. Thanks to Tanya!
% 0.28/0.34 % SZS status Theorem for theBenchmark
% 0.28/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.28/0.34 % (2952767)------------------------------
% 0.28/0.34 % (2952767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.34 % (2952767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.34 % (2952767)CaDiCaL version: 2.1.3
% 0.28/0.34 % (2952767)Termination reason: Refutation
% 0.28/0.34 % (2952767)Time elapsed: 0.002 s
% 0.28/0.34 % (2952767)Peak memory usage: 12 MB
% 0.28/0.34 % (2952767)Instructions burned: 1 (million)
% 0.28/0.34 % (2952757)Success in time 0.025 s
% 0.28/0.34 % Vampire exiting
%------------------------------------------------------------------------------