%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CSR067+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.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 01:10:25 PM UTC 2026
% Result : Theorem 2.07s 1.48s
% Output : CNFRefutation 2.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 6 |; 1 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 12 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).
fof(f28,axiom,
! [X0,X1] :
( borderson(X0,X1)
=> borderson(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just28) ).
fof(f30,conjecture,
? [X0] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(X0,c_georegion_l4_x29_y75) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query67) ).
fof(f31,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(X0,c_georegion_l4_x29_y75) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
fof(f46,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76) ),
inference(ennf_transformation,[],[f1]) ).
fof(f62,plain,
! [X0,X1] :
( ~ borderson(X0,X1)
| borderson(X1,X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f63,plain,
! [X0] :
( mtvisible(c_tptpgeo_member7_mt)
& ~ borderson(X0,c_georegion_l4_x29_y75) ),
inference(ennf_transformation,[],[f31]) ).
fof(f64,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76) ),
inference(cnf_transformation,[],[f46]) ).
fof(f77,plain,
! [X0,X1] :
( ~ borderson(X0,X1)
| borderson(X1,X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f79,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(cnf_transformation,[],[f63]) ).
fof(f80,plain,
! [X0] : ~ borderson(X0,c_georegion_l4_x29_y75),
inference(cnf_transformation,[],[f63]) ).
tcf(c_49,plain,
( borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_64,negated_conjecture,
! [X0: $i] : ~ borderson(X0,c_georegion_l4_x29_y75),
inference(cnf_transformation,[],[f80]) ).
tcf(c_65,negated_conjecture,
mtvisible(c_tptpgeo_member7_mt),
inference(cnf_transformation,[],[f79]) ).
tcf(c_70,plain,
borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76),
inference(global_subsumption_just,[status(thm)],[c_49,c_65,c_49]) ).
tcf(c_72,negated_conjecture,
! [X0: $i] : ~ borderson(X0,c_georegion_l4_x29_y75),
inference(demodulation,[status(thm)],[c_64]) ).
tcf(c_73,plain,
borderson(c_georegion_l4_x29_y76,c_georegion_l4_x29_y75),
inference(resolution,[status(thm)],[c_62,c_70]) ).
tcf(c_75,plain,
$false,
inference(resolution,[status(thm)],[c_73,c_72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR067+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.42 % Computer : n008.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Fri Sep 25 08:52:41 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.48 Running first-order theorem proving
% 0.17/0.48 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/0.50
% 0.25/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.25/0.50
% 0.25/0.50 % Detected problem language: tptp
% 0.25/0.52 % Proving...
% 2.07/1.48 % SZS status Started for theBenchmark.p
% 2.07/1.48 % SZS status Theorem for theBenchmark.p
% 2.07/1.48
% 2.07/1.48 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.07/1.48
% 2.07/1.48 % ------ iProver source info
% 2.07/1.48
% 2.07/1.48 % git: date: 2026-07-19 20:42:38 +0200
% 2.07/1.48 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.07/1.48 % git: non_committed_changes: false
% 2.07/1.48
% 2.07/1.48 % ------ Parsing...
% 2.07/1.48 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.07/1.48 %
% 2.07/1.48
% 2.07/1.48 % ------ Preprocessing... sf_s rm: 10 0s sf_e sf_s rm: 0 0s sf_e %
% 2.07/1.48
% 2.07/1.48 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.07/1.48 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.07/1.48 % ------ Proving...
% 2.07/1.48 % ------ Problem Properties
% 2.07/1.48
% 2.07/1.48 %
% 2.07/1.48 % clauses 4
% 2.07/1.48 % conjectures 1
% 2.07/1.48 % EPR 4
% 2.07/1.48 % Horn 4
% 2.07/1.48 % unary 3
% 2.07/1.48 % binary 1
% 2.07/1.48 % lits 5
% 2.07/1.48 % lits eq 0
% 2.07/1.49 % fd_pure 0
% 2.07/1.49 % fd_pseudo 0
% 2.07/1.49 % fd_cond 0
% 2.07/1.49 % fd_pseudo_cond 0
% 2.07/1.49 % AC symbols 0
% 2.07/1.49
% 2.07/1.49 % ------ Schedule EPR Horn non eq is on
% 2.07/1.49
% 2.07/1.49 % ------ no equalities: superposition off
% 2.07/1.49
% 2.07/1.49 % ------ Option_epr_horn Time Limit: Unbounded
% 2.07/1.49
% 2.07/1.49
% 2.07/1.49 % ------
% 2.07/1.49 % Current options:
% 2.07/1.49 % ------
% 2.07/1.49
% 2.07/1.49
% 2.07/1.49 %
% 2.07/1.49
% 2.07/1.49 % ------ Proving...
% 2.07/1.49 %
% 2.07/1.49
% 2.07/1.49 % SZS status Theorem for theBenchmark.p
% 2.07/1.49
% 2.07/1.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.07/1.49
% 2.07/1.49
%------------------------------------------------------------------------------