%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ022-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n002.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 02:32:43 PM UTC 2026
% Result : Unsatisfiable 1.11s 1.27s
% Output : CNFRefutation 1.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 15 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 49 ( 27 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 13 ( 0 sgn 13 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( borders(X1,X0)
| ~ borders(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_borders) ).
fof(f5,negated_conjecture,
ocean(southern),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',southern) ).
fof(f6,negated_conjecture,
state(western_australia),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',western_australia) ).
fof(f9,negated_conjecture,
state(south_australia),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',south_australia) ).
fof(f14,negated_conjecture,
borders(western_australia,south_australia),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wa_sa) ).
fof(f25,negated_conjecture,
borders(southern,western_australia),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',southern_wa) ).
fof(f26,negated_conjecture,
borders(southern,south_australia),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',southern_sa) ).
fof(f33,negated_conjecture,
! [X2,X0,X1] :
( ~ ocean(X2)
| ~ borders(X1,X2)
| ~ borders(X0,X2)
| ~ borders(X0,X1)
| ~ state(X1)
| ~ state(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_borders) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( borders(X1,X0)
| ~ borders(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_86,negated_conjecture,
ocean(southern),
inference(cnf_transformation,[],[f5]) ).
tcf(c_87,negated_conjecture,
state(western_australia),
inference(cnf_transformation,[],[f6]) ).
tcf(c_90,negated_conjecture,
state(south_australia),
inference(cnf_transformation,[],[f9]) ).
tcf(c_95,negated_conjecture,
borders(western_australia,south_australia),
inference(cnf_transformation,[],[f14]) ).
tcf(c_106,negated_conjecture,
borders(southern,western_australia),
inference(cnf_transformation,[],[f25]) ).
tcf(c_107,negated_conjecture,
borders(southern,south_australia),
inference(cnf_transformation,[],[f26]) ).
tcf(c_114,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ state(X1)
| ~ state(X0)
| ~ ocean(X2)
| ~ borders(X1,X2)
| ~ borders(X0,X2)
| ~ borders(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i] :
( ~ state(X1)
| ~ state(X0)
| ~ borders(X1,southern)
| ~ borders(X0,southern)
| ~ borders(X0,X1) ),
inference(resolution,[status(thm)],[c_114,c_86]) ).
tcf(c_160,plain,
borders(western_australia,southern),
inference(resolution,[status(thm)],[c_82,c_106]) ).
tcf(c_161,plain,
borders(south_australia,southern),
inference(resolution,[status(thm)],[c_82,c_107]) ).
tcf(c_225,plain,
! [X0: $i] :
( ~ state(X0)
| ~ borders(western_australia,southern)
| ~ borders(western_australia,X0)
| ~ borders(X0,southern) ),
inference(resolution,[status(thm)],[c_122,c_87]) ).
tcf(c_226,plain,
( ~ state(south_australia)
| ~ borders(south_australia,southern)
| ~ borders(western_australia,south_australia)
| ~ borders(western_australia,southern) ),
inference(instantiation,[status(thm)],[c_225]) ).
tcf(c_227,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_226,c_161,c_160,c_95,c_90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ022-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.36 % Computer : n002.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Thu Sep 24 06:43:04 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.42 Running EPR theorem proving
% 0.14/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.43
% 0.14/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.43
% 0.14/0.43 % Detected problem language: tptp
% 0.14/0.45 % Proving...
% 1.11/1.27 % SZS status Started for theBenchmark.p
% 1.11/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.11/1.27
% 1.11/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.11/1.27
% 1.11/1.27 % ------ iProver source info
% 1.11/1.27
% 1.11/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.11/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.11/1.27 % git: non_committed_changes: false
% 1.11/1.27
% 1.11/1.27 % ------ Parsing...% successful
% 1.11/1.27
% 1.11/1.27
% 1.11/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.11/1.27 %
% 1.11/1.27
% 1.11/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 1.11/1.27
% 1.11/1.27 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.11/1.27 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.11/1.27 % ------ Proving...
% 1.11/1.27 % ------ Problem Properties
% 1.11/1.27
% 1.11/1.27 %
% 1.11/1.27 % clauses 33
% 1.11/1.27 % conjectures 32
% 1.11/1.27 % EPR 33
% 1.11/1.27 % Horn 33
% 1.11/1.27 % unary 31
% 1.11/1.27 % binary 1
% 1.11/1.27 % lits 39
% 1.11/1.27 % lits eq 0
% 1.11/1.27 % fd_pure 0
% 1.11/1.27 % fd_pseudo 0
% 1.11/1.27 % fd_cond 0
% 1.11/1.27 % fd_pseudo_cond 0
% 1.11/1.27 % AC symbols 0
% 1.11/1.27
% 1.11/1.27 % ------ Schedule EPR Horn non eq is on
% 1.11/1.27
% 1.11/1.27 % ------ no equalities: superposition off
% 1.11/1.27
% 1.11/1.27 % ------ Option_epr_horn Time Limit: Unbounded
% 1.11/1.27
% 1.11/1.27
% 1.11/1.27 % ------
% 1.11/1.27 % Current options:
% 1.11/1.27 % ------
% 1.11/1.27
% 1.11/1.27
% 1.11/1.27 %
% 1.11/1.27
% 1.11/1.27 % ------ Proving...
% 1.11/1.27 %
% 1.11/1.27
% 1.11/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.11/1.27
% 1.11/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.11/1.27
% 1.11/1.27
%------------------------------------------------------------------------------