%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ022-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 12:31:15 PM UTC 2026
% Result : Unsatisfiable 2.72s 1.35s
% Output : Refutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 54 ( 31 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( borders(X1,X0)
| ~ borders(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_borders) ).
fof(f4,negated_conjecture,
ocean(pacific),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pacific) ).
fof(f10,negated_conjecture,
state(new_south_wales),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',new_south_wales) ).
fof(f11,negated_conjecture,
state(victoria),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',victoria) ).
fof(f21,negated_conjecture,
borders(new_south_wales,victoria),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nsw_vic) ).
fof(f30,negated_conjecture,
borders(pacific,new_south_wales),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pacific_nsw) ).
fof(f31,negated_conjecture,
borders(pacific,victoria),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pacific_vic) ).
fof(f33,negated_conjecture,
! [X2,X0,X1] :
( ~ borders(X1,X2)
| ~ state(X1)
| ~ borders(X0,X1)
| ~ borders(X0,X2)
| ~ state(X0)
| ~ ocean(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_borders) ).
fof(f177,plain,
! [X2,X0,X1] :
( ~ borders(X2,X1)
| ~ state(X1)
| ~ borders(X0,X1)
| ~ borders(X2,X0)
| ~ state(X2)
| ~ ocean(X0) ),
inference(resolution,[],[f1,f33]) ).
fof(f221,plain,
! [X0] :
( ~ state(victoria)
| ~ borders(X0,victoria)
| ~ borders(new_south_wales,X0)
| ~ state(new_south_wales)
| ~ ocean(X0) ),
inference(resolution,[],[f177,f21]) ).
fof(f224,plain,
! [X0] :
( ~ borders(X0,victoria)
| ~ borders(new_south_wales,X0)
| ~ state(new_south_wales)
| ~ ocean(X0) ),
inference(forward_subsumption_resolution,[],[f221,f11]) ).
fof(f236,plain,
! [X0] :
( ~ borders(new_south_wales,X0)
| ~ borders(X0,victoria)
| ~ ocean(X0) ),
inference(forward_subsumption_resolution,[],[f224,f10]) ).
fof(f258,plain,
! [X0] :
( ~ borders(X0,victoria)
| ~ ocean(X0)
| ~ borders(X0,new_south_wales) ),
inference(resolution,[],[f236,f1]) ).
fof(f290,plain,
( ~ ocean(pacific)
| ~ borders(pacific,new_south_wales) ),
inference(resolution,[],[f258,f31]) ).
fof(f295,plain,
~ borders(pacific,new_south_wales),
inference(forward_subsumption_resolution,[],[f290,f4]) ).
fof(f296,plain,
$false,
inference(forward_subsumption_resolution,[],[f295,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ022-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n019.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 22:30:18 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 2.72/1.35 % (3479415)Input is clausal, will run a generic CNF schedule.
% 2.72/1.35 % (3479424)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3988670537:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.72/1.35 % (3479424)First to succeed.
% 2.72/1.35 % (3479424)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3479415"
% 2.72/1.35 % (3479426)dis-21_1_sil=8000:lcm=predicate:random_seed=2581608268:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.72/1.35 % (3479422)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2525791725:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.72/1.35 % (3479423)lrs+10_1_sil=8000:sp=occurrence:random_seed=331283273:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.72/1.35 % (3479421)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=162453028:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.72/1.35 % (3479420)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=1083595521:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.72/1.35 % (3479425)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3091791257:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.72/1.35 % (3479423)Also succeeded, but the first one will report.
% 2.72/1.35 % (3479425)Also succeeded, but the first one will report.
% 2.72/1.35 % (3479426)Also succeeded, but the first one will report.
% 2.72/1.35 % (3479424)Refutation found. Thanks to Tanya!
% 2.72/1.35 % SZS status Unsatisfiable for theBenchmark
% 2.72/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 2.72/1.35 % (3479424)------------------------------
% 2.72/1.35 % (3479424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.35 % (3479424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.35 % (3479424)CaDiCaL version: 2.1.3
% 2.72/1.35 % (3479424)Termination reason: Refutation
% 2.72/1.35 % (3479424)Time elapsed: 0.002 s
% 2.72/1.35 % (3479424)Peak memory usage: 88 MB
% 2.72/1.35 % (3479424)Instructions burned: 4 (million)
% 2.72/1.35 % (3479424)------------------------------
% 2.72/1.35 % (3479424)------------------------------
% 2.72/1.35 % (3479415)Success in time 0.298 s
% 2.72/1.35 % Vampire exiting
%------------------------------------------------------------------------------