%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO896_7 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 02:32:51 PM UTC 2026
% Result : Theorem 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 72 ( 28 ~; 17 |; 12 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 20 ( 15 !; 5 ?; 20 :)
% 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(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' > $o ).
tff(f1,conjecture,
( ( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( p(X0)
=> q(X0) ) )
& ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( p(X0)
=> ~ q(X0) ) ) )
=> ~ ? [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
& p(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(f2,negated_conjecture,
~ ( ( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( p(X0)
=> q(X0) ) )
& ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( p(X0)
=> ~ q(X0) ) ) )
=> ~ ? [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
& p(X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( p(X0)
=> q(X0) ) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ( p(X1)
=> ~ q(X1) ) ) )
=> ~ ? [X2: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X2)
& p(X2) ) ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
( ? [X2: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X2)
& p(X2) )
& ! [X0: '$ki_world'] :
( q(X0)
| ~ p(X0)
| ~ '$ki_accessible'('$ki_local_world',X0) )
& ! [X1: '$ki_world'] :
( ~ q(X1)
| ~ p(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f5,plain,
( ? [X2: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X2)
& p(X2) )
& ! [X0: '$ki_world'] :
( q(X0)
| ~ p(X0)
| ~ '$ki_accessible'('$ki_local_world',X0) )
& ! [X1: '$ki_world'] :
( ~ q(X1)
| ~ p(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ) ),
inference(flattening,[],[f4]) ).
tff(f6,plain,
p(sK0),
inference(cnf_transformation,[],[f5]) ).
tff(f7,plain,
'$ki_accessible'('$ki_local_world',sK0),
inference(cnf_transformation,[],[f5]) ).
tff(f8,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ~ p(X0)
| q(X0) ),
inference(cnf_transformation,[],[f5]) ).
tff(f9,plain,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| ~ p(X1)
| ~ q(X1) ),
inference(cnf_transformation,[],[f5]) ).
tff(f10,plain,
! [X1: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X1)
| p(X1)
| ~ q(X1) ),
inference(consistent_polarity_flipping,[],[f9]) ).
tff(f11,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| p(X0)
| q(X0) ),
inference(consistent_polarity_flipping,[],[f8]) ).
tff(f12,plain,
~ p(sK0),
inference(consistent_polarity_flipping,[],[f6]) ).
tff(f15,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| p(X0) ),
inference(forward_subsumption_resolution,[],[f11,f10]) ).
tff(f16,plain,
p(sK0),
inference(resolution,[],[f15,f7]) ).
tff(f17,plain,
$false,
inference(forward_subsumption_resolution,[],[f16,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO896_7 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n009.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 18:40:30 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 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
% 0.19/0.27 % (3329272)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (3329278)% WARNING: option uhcvi not known.
% 0.19/0.27 % (3329278)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4206213815:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (3329278) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3329272-3329278"...
% 0.19/0.27 % (3329278)...printing done.
% 0.19/0.27 % (3329278)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.27 % (3329278)------------------------------
% 0.19/0.27 % (3329278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (3329278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (3329278)CaDiCaL version: 2.1.3
% 0.19/0.27 % (3329278)Termination reason: Refutation
% 0.19/0.27 % (3329278)Time elapsed: 0.001 s
% 0.19/0.27 % (3329278)Peak memory usage: 11 MB
% 0.19/0.27 % (3329272)Success in time 0.034 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------