%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NLP267_2 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 12:08:18 PM UTC 2026
% Result : Theorem 2.07s 0.99s
% Output : Refutation 2.07s
% 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 : 71 ( 0 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 46 ( 21 ~; 16 |; 3 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 26 ( 26 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 ) > $o ).
tff(f3,axiom,
! [X0: '$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(f6,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> dest(X0,paris) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',belief1) ).
tff(f7,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> class(X0,second) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',belief2) ).
tff(f8,conjecture,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> price(X0,seventy) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
tff(f9,negated_conjecture,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> price(X0,seventy) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
tff(f12,plain,
! [X0: '$ki_world'] :
( price(X0,seventy)
| ~ dest(X0,paris)
| ~ class(X0,second)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f3]) ).
tff(f13,plain,
! [X0: '$ki_world'] :
( price(X0,seventy)
| ~ dest(X0,paris)
| ~ class(X0,second)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(flattening,[],[f12]) ).
tff(f18,plain,
! [X0: '$ki_world'] :
( dest(X0,paris)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f6]) ).
tff(f19,plain,
! [X0: '$ki_world'] :
( class(X0,second)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f7]) ).
tff(f20,plain,
? [X0: '$ki_world'] :
( ~ price(X0,seventy)
& '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f9]) ).
tff(f21,plain,
( ~ price(sK0,seventy)
& '$ki_accessible'('$ki_local_world',sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f20]) ).
tff(f24,plain,
! [X0: '$ki_world'] :
( price(X0,seventy)
| ~ dest(X0,paris)
| ~ class(X0,second)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f13]) ).
tff(f27,plain,
! [X0: '$ki_world'] :
( dest(X0,paris)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f18]) ).
tff(f28,plain,
! [X0: '$ki_world'] :
( class(X0,second)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f19]) ).
tff(f29,plain,
'$ki_accessible'('$ki_local_world',sK0),
inference(cnf_transformation,[],[f21]) ).
tff(f30,plain,
~ price(sK0,seventy),
inference(cnf_transformation,[],[f21]) ).
tff(f32,plain,
! [X0: '$ki_world'] :
( price(X0,seventy)
| ~ class(X0,second)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(forward_subsumption_resolution,[],[f24,f27]) ).
tff(f33,plain,
! [X0: '$ki_world'] :
( price(X0,seventy)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(forward_subsumption_resolution,[],[f32,f28]) ).
tff(f34,plain,
~ '$ki_accessible'('$ki_local_world',sK0),
inference(resolution,[],[f33,f30]) ).
tff(f35,plain,
$false,
inference(forward_subsumption_resolution,[],[f34,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NLP267_2 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n014.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 18:39:01 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.07/0.99 % (1094623)Detected formulas, will run a generic FOF schedule.
% 2.07/0.99 % (1094633)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4261226124:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.07/0.99 % (1094633)First to succeed.
% 2.07/0.99 % (1094633)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1094623"
% 2.07/0.99 % (1094629)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2539889763:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.07/0.99 % (1094632)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1321053272:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.07/0.99 % (1094634)dis-21_1_sil=8000:lcm=predicate:random_seed=3193908649:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.07/0.99 % (1094630)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1325870441:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.07/0.99 % (1094628)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4270639624:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.07/0.99 % (1094631)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4267006955:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.07/0.99 % (1094631)Refutation not found, incomplete strategy
% 2.07/0.99 % (1094631)------------------------------
% 2.07/0.99 % (1094631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.07/0.99 % (1094631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.99 % (1094631)CaDiCaL version: 2.1.3
% 2.07/0.99 % (1094631)Termination reason: Refutation not found, incomplete strategy
% 2.07/0.99 % (1094631)Time elapsed: 0.001 s
% 2.07/0.99 % (1094631)Peak memory usage: 87 MB
% 2.07/0.99 % (1094632)Also succeeded, but the first one will report.
% 2.07/0.99 % (1094634)Also succeeded, but the first one will report.
% 2.07/0.99 % (1094633)Refutation found. Thanks to Tanya!
% 2.07/0.99 % SZS status Theorem for theBenchmark
% 2.07/0.99 % SZS output start Proof for theBenchmark
% See solution above
% 2.07/0.99 % (1094633)------------------------------
% 2.07/0.99 % (1094633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.07/0.99 % (1094633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.99 % (1094633)CaDiCaL version: 2.1.3
% 2.07/0.99 % (1094633)Termination reason: Refutation
% 2.07/0.99 % (1094633)Time elapsed: 0.001 s
% 2.07/0.99 % (1094633)Peak memory usage: 88 MB
% 2.07/0.99 % (1094633)Instructions burned: 1 (million)
% 2.07/0.99 % (1094633)------------------------------
% 2.07/0.99 % (1094633)------------------------------
% 2.07/0.99 % (1094623)Success in time 0.306 s
% 2.07/0.99 % Vampire exiting
%------------------------------------------------------------------------------