%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL961_11 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 : Tue Sep 29 12:01:17 PM UTC 2026
% Result : Theorem 0.15s 0.44s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 86 ( 21 ~; 13 |; 28 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 46 ( 34 !; 12 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'$ki_world': $tType ).
tff(func_def_0,type,
'$ki_local_world': '$ki_world' ).
tff(func_def_1,type,
sK0: '$ki_world' ).
tff(func_def_2,type,
sK1: '$ki_world' ).
tff(func_def_3,type,
sK2: '$ki_world' ).
tff(func_def_4,type,
sK3: '$ki_world' ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
p: '$ki_world' > $o ).
tff(pred_def_3,type,
q: '$ki_world' > $o ).
tff(f1,axiom,
! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_universal) ).
tff(f2,conjecture,
( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> p(X1) )
=> ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> q(X1) ) ) )
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> q(X1) )
=> ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> p(X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
tff(f3,negated_conjecture,
~ ( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> p(X1) )
=> ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> q(X1) ) ) )
| ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> q(X1) )
=> ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> p(X1) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
tff(f4,plain,
~ ( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( ! [X1: '$ki_world'] :
( '$ki_accessible'(X0,X1)
=> p(X1) )
=> ! [X2: '$ki_world'] :
( '$ki_accessible'(X0,X2)
=> q(X2) ) ) )
| ! [X3: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X3)
=> ( ! [X4: '$ki_world'] :
( '$ki_accessible'(X3,X4)
=> q(X4) )
=> ! [X5: '$ki_world'] :
( '$ki_accessible'(X3,X5)
=> p(X5) ) ) ) ),
inference(rectify,[],[f3]) ).
tff(f5,plain,
( ? [X0: '$ki_world'] :
( ? [X2: '$ki_world'] :
( ~ q(X2)
& '$ki_accessible'(X0,X2) )
& ! [X1: '$ki_world'] :
( p(X1)
| ~ '$ki_accessible'(X0,X1) )
& '$ki_accessible'('$ki_local_world',X0) )
& ? [X3: '$ki_world'] :
( ? [X5: '$ki_world'] :
( ~ p(X5)
& '$ki_accessible'(X3,X5) )
& ! [X4: '$ki_world'] :
( q(X4)
| ~ '$ki_accessible'(X3,X4) )
& '$ki_accessible'('$ki_local_world',X3) ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f6,plain,
( ? [X0: '$ki_world'] :
( ? [X2: '$ki_world'] :
( ~ q(X2)
& '$ki_accessible'(X0,X2) )
& ! [X1: '$ki_world'] :
( p(X1)
| ~ '$ki_accessible'(X0,X1) )
& '$ki_accessible'('$ki_local_world',X0) )
& ? [X3: '$ki_world'] :
( ? [X5: '$ki_world'] :
( ~ p(X5)
& '$ki_accessible'(X3,X5) )
& ! [X4: '$ki_world'] :
( q(X4)
| ~ '$ki_accessible'(X3,X4) )
& '$ki_accessible'('$ki_local_world',X3) ) ),
inference(flattening,[],[f5]) ).
tff(f7,plain,
( ? [X0: '$ki_world'] :
( ? [X1: '$ki_world'] :
( ~ q(X1)
& '$ki_accessible'(X0,X1) )
& ! [X2: '$ki_world'] :
( p(X2)
| ~ '$ki_accessible'(X0,X2) )
& '$ki_accessible'('$ki_local_world',X0) )
& ? [X3: '$ki_world'] :
( ? [X4: '$ki_world'] :
( ~ p(X4)
& '$ki_accessible'(X3,X4) )
& ! [X5: '$ki_world'] :
( q(X5)
| ~ '$ki_accessible'(X3,X5) )
& '$ki_accessible'('$ki_local_world',X3) ) ),
inference(rectify,[],[f6]) ).
tff(f8,plain,
( ~ q(sK1)
& '$ki_accessible'(sK0,sK1)
& ! [X2: '$ki_world'] :
( p(X2)
| ~ '$ki_accessible'(sK0,X2) )
& '$ki_accessible'('$ki_local_world',sK0)
& ~ p(sK3)
& '$ki_accessible'(sK2,sK3)
& ! [X5: '$ki_world'] :
( q(X5)
| ~ '$ki_accessible'(sK2,X5) )
& '$ki_accessible'('$ki_local_world',sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X3,sK2),skolemize(X4,sK3)],[f7]) ).
tff(f9,plain,
! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'(X0,X1),
inference(cnf_transformation,[],[f1]) ).
tff(f13,plain,
~ p(sK3),
inference(cnf_transformation,[],[f8]) ).
tff(f15,plain,
! [X2: '$ki_world'] :
( p(X2)
| ~ '$ki_accessible'(sK0,X2) ),
inference(cnf_transformation,[],[f8]) ).
tff(f18,plain,
! [X0: '$ki_world',X1: '$ki_world'] : ~ '$ki_accessible'(X0,X1),
inference(consistent_polarity_flipping,[],[f9]) ).
tff(f21,plain,
! [X2: '$ki_world'] :
( p(X2)
| '$ki_accessible'(sK0,X2) ),
inference(consistent_polarity_flipping,[],[f15]) ).
tff(f26,plain,
'$ki_accessible'(sK0,sK3),
inference(resolution,[],[f21,f13]) ).
tff(f27,plain,
$false,
inference(resolution,[],[f18,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL961_11 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 17:14:31 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.44 % (3813289)Will run a generic schedule for satisfiability detection.
% 0.15/0.44 % (3813301)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2755620597:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.15/0.44 % (3813301) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3813289-3813301"...
% 0.15/0.44 % (3813301)...printing done.
% 0.15/0.44 % (3813301)Refutation found. Thanks to Tanya!
% 0.15/0.44 % SZS status Theorem for theBenchmark
% 0.15/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.44 % (3813301)------------------------------
% 0.15/0.44 % (3813301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.44 % (3813301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.44 % (3813301)CaDiCaL version: 2.1.3
% 0.15/0.44 % (3813301)Termination reason: Refutation
% 0.15/0.44 % (3813301)Time elapsed: 0.001 s
% 0.15/0.44 % (3813301)Peak memory usage: 11 MB
% 0.15/0.44 % (3813301)Instructions burned: 1 (million)
% 0.15/0.44 % (3813289)Success in time 0.02 s
% 0.15/0.44 % Vampire exiting
%------------------------------------------------------------------------------