%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PUZ011-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n003.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 : Fri Sep 25 02:31:50 PM UTC 2026
% Result : Unsatisfiable 8.49s 2.08s
% Output : Proof 8.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 26 unt; 0 def)
% Number of atoms : 46 ( 10 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 38 ( 22 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-4 aty)
% Number of variables : 15 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f26,negated_conjecture,
( ~ asian(Asian)
| ~ borders(Ocean,Asian)
| ~ african(African)
| ~ borders(Ocean,African)
| ~ ocean(Ocean) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_a_common_ocean) ).
fof(f26_nnf,plain,
! [Ocean,African,Asian] :
( ~ asian(Asian)
| ~ borders(Ocean,Asian)
| ~ african(African)
| ~ borders(Ocean,African)
| ~ ocean(Ocean) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
! [Ocean,African,Asian] :
( ~ asian(Asian)
| ~ borders(Ocean,Asian)
| ~ african(African)
| ~ borders(Ocean,African)
| ~ ocean(Ocean) ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c26,plain,
( ~ asian(X2)
| ~ borders(X0,X2)
| ~ african(X1)
| ~ borders(X0,X1)
| ~ ocean(X0) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(hi26,negated_conjecture,
ifeq(ocean(X0),true,ifeq(borders(X0,X1),true,ifeq(african(X1),true,ifeq(borders(X0,X2),true,ifeq(asian(X2),true,false,true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c26]) ).
cnf(f1,hypothesis,
ocean(indian),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',indian) ).
fof(f1_nnf,plain,
ocean(indian),
inference(nnf_transformation,[status(thm)],[f1]) ).
cnf(c1,plain,
ocean(indian),
inference(cnf_transformation,[status(esa)],[f1_nnf]) ).
cnf(hi1,axiom,
ocean(indian) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(f13,hypothesis,
borders(indian,tanzania),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',indian_tanzania) ).
fof(f13_nnf,plain,
borders(indian,tanzania),
inference(nnf_transformation,[status(thm)],[f13]) ).
cnf(c13,plain,
borders(indian,tanzania),
inference(cnf_transformation,[status(esa)],[f13_nnf]) ).
cnf(hi13,axiom,
borders(indian,tanzania) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(f22,hypothesis,
african(tanzania),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tanzania) ).
fof(f22_nnf,plain,
african(tanzania),
inference(nnf_transformation,[status(thm)],[f22]) ).
cnf(c22,plain,
african(tanzania),
inference(cnf_transformation,[status(esa)],[f22_nnf]) ).
cnf(hi22,axiom,
african(tanzania) = true,
inference(equality_encoding,[status(esa)],[c22]) ).
cnf(f8,hypothesis,
borders(indian,india),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',indian_india) ).
fof(f8_nnf,plain,
borders(indian,india),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c8,plain,
borders(indian,india),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(hi8,axiom,
borders(indian,india) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(f23,hypothesis,
asian(india),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',india) ).
fof(f23_nnf,plain,
asian(india),
inference(nnf_transformation,[status(thm)],[f23]) ).
cnf(c23,plain,
asian(india),
inference(cnf_transformation,[status(esa)],[f23_nnf]) ).
cnf(hi23,axiom,
asian(india) = true,
inference(equality_encoding,[status(esa)],[c23]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi26,hi1,hi13,hi22,hi8,hi23]) ).
cnf(t92,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c26]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t92]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PUZ011-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.82 % Computer : n003.cluster.edu
% 0.16/0.82 % Model : x86_64 x86_64
% 0.16/0.82 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.82 % Memory : 8046.5625MB
% 0.16/0.82 % OS : Linux 6.8.0-71-generic
% 0.16/0.82 % CPULimit : 300
% 0.16/0.82 % WCLimit : 300
% 0.16/0.82 % DateTime : Thu Sep 24 06:38:51 UTC 2026
% 0.16/0.82 % CPUTime :
% 0.16/0.82 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.49/2.08 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.49/2.08 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------