%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NLP267_4 : 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 : 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 : Tue Sep 29 12:09:47 PM UTC 2026
% Result : Theorem 0.15s 0.46s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 45 ( 20 ~; 16 |; 3 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 27 ( 27 fml; 0 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 15 ( 14 !; 1 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'$ki_world': $tType ).
tff(func_def_0,type,
'$ki_local_world': '$ki_world' ).
tff(func_def_6,type,
sK0: '$ki_world' ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
price: ( '$ki_world' * $i ) > $o ).
tff(pred_def_3,type,
dest: ( '$ki_world' * $i ) > $o ).
tff(pred_def_4,type,
class: ( '$ki_world' * $i ) > $o ).
tff(f4,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( ( dest(X0,paris)
& class(X0,second) )
=> price(X0,seventy) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',law2) ).
tff(f7,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> dest(X0,paris) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',belief1) ).
tff(f8,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> class(X0,second) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',belief2) ).
tff(f9,conjecture,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> price(X0,seventy) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
tff(f10,negated_conjecture,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> price(X0,seventy) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
tff(f15,plain,
! [X0: '$ki_world'] :
( price(X0,seventy)
| ~ dest(X0,paris)
| ~ class(X0,second)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f4]) ).
tff(f16,plain,
! [X0: '$ki_world'] :
( price(X0,seventy)
| ~ dest(X0,paris)
| ~ class(X0,second)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(flattening,[],[f15]) ).
tff(f21,plain,
! [X0: '$ki_world'] :
( dest(X0,paris)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f7]) ).
tff(f22,plain,
! [X0: '$ki_world'] :
( class(X0,second)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f8]) ).
tff(f23,plain,
? [X0: '$ki_world'] :
( ~ price(X0,seventy)
& '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f10]) ).
tff(f24,plain,
( ~ price(sK0,seventy)
& '$ki_accessible'('$ki_local_world',sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f23]) ).
tff(f28,plain,
! [X0: '$ki_world'] :
( price(X0,seventy)
| ~ dest(X0,paris)
| ~ class(X0,second)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f16]) ).
tff(f31,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| dest(X0,paris) ),
inference(cnf_transformation,[],[f21]) ).
tff(f32,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| class(X0,second) ),
inference(cnf_transformation,[],[f22]) ).
tff(f33,plain,
'$ki_accessible'('$ki_local_world',sK0),
inference(cnf_transformation,[],[f24]) ).
tff(f34,plain,
~ price(sK0,seventy),
inference(cnf_transformation,[],[f24]) ).
tff(f43,plain,
! [X0: '$ki_world'] :
( price(X0,seventy)
| ~ class(X0,second)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(forward_subsumption_resolution,[],[f28,f31]) ).
tff(f44,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| price(X0,seventy) ),
inference(forward_subsumption_resolution,[],[f43,f32]) ).
tff(f45,plain,
price(sK0,seventy),
inference(resolution,[],[f44,f33]) ).
tff(f47,plain,
$false,
inference(forward_subsumption_resolution,[],[f45,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NLP267_4 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.38 % Computer : n011.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8046.5625MB
% 0.15/0.38 % OS : Linux 6.8.0-71-generic
% 0.15/0.39 % CPULimit : 300
% 0.15/0.39 % WCLimit : 300
% 0.15/0.39 % DateTime : Sun Sep 27 18:39:01 UTC 2026
% 0.15/0.39 % CPUTime :
% 0.15/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.42 Running first-order model finding
% 0.15/0.42 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
% 0.15/0.46 % (2683469)Will run a generic schedule for satisfiability detection.
% 0.15/0.46 % (2683475)% WARNING: option uhcvi not known.
% 0.15/0.46 % (2683475)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1277498537:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.15/0.46 % (2683474)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1289075094_3000 on theBenchmark for (3000ds/0Mi)
% 0.15/0.46 % (2683477)dis+10_1_sil=32000:sp=arity:random_seed=842968396:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.15/0.46 % (2683476)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1601031597:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.15/0.46 % (2683478)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=757127414:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.15/0.46 % (2683475) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2683469-2683475"...
% 0.15/0.46 % (2683477) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2683469-2683477"...
% 0.15/0.46 % Detected minimum model sizes of [1]
% 0.15/0.46 % Detected maximum model sizes of [7]
% 0.15/0.46 % (2683478) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2683469-2683478"...
% 0.15/0.46 % TRYING [1]
% 0.15/0.46 % (2683479)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1397112197:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.15/0.46 % (2683476) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2683469-2683476"...
% 0.15/0.46 % TRYING [2]
% 0.15/0.46 % (2683474) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2683469-2683474"...
% 0.15/0.46 % (2683479) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2683469-2683479"...
% 0.15/0.46 % (2683475)...printing done.
% 0.15/0.46 % (2683477)...printing done.
% 0.15/0.46 % (2683478)...printing done.
% 0.15/0.46 % (2683476)...printing done.
% 0.15/0.46 % (2683479)...printing done.
% 0.15/0.46 % (2683477)Refutation found. Thanks to Tanya!
% 0.15/0.46 % SZS status Theorem for theBenchmark
% 0.15/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.46 % (2683477)------------------------------
% 0.15/0.46 % (2683477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.46 % (2683477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.46 % (2683477)CaDiCaL version: 2.1.3
% 0.15/0.46 % (2683477)Termination reason: Refutation
% 0.15/0.46 % (2683477)Time elapsed: 0.001 s
% 0.15/0.46 % (2683477)Peak memory usage: 11 MB
% 0.15/0.46 % (2683477)Instructions burned: 1 (million)
% 0.15/0.46 % (2683469)Success in time 0.025 s
% 0.15/0.46 % Vampire exiting
%------------------------------------------------------------------------------