%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO238+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p 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 : Fri Sep 25 01:20:30 PM UTC 2026
% Result : Theorem 1.31s 1.50s
% Output : CNFRefutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 10 unt; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 84 ( 30 ~; 29 |; 19 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 79 ( 0 sgn 71 !; 8 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( right_apart_point(X0,X1)
<=> left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a2_defns) ).
fof(f8,axiom,
! [X0,X1,X2] :
( divides_points(X2,X0,X1)
<=> ( ( left_apart_point(X1,X2)
& right_apart_point(X0,X2) )
| ( right_apart_point(X1,X2)
& left_apart_point(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a8_defns) ).
fof(f20,axiom,
! [X0,X1] :
~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax10_basics) ).
fof(f33,axiom,
! [X0,X1,X2] :
( ( left_apart_point(X0,X2)
& distinct_points(X0,X1) )
=> ( left_convergent_lines(line_connecting(X0,X1),X2)
| left_apart_point(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax2_uniq_cons) ).
fof(f37,conjecture,
! [X0,X1,X2,X3] :
( ( divides_points(X3,X0,X2)
& divides_points(X3,X0,X1) )
=> ~ divides_points(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( divides_points(X3,X0,X2)
& divides_points(X3,X0,X1) )
=> ~ divides_points(X3,X1,X2) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f40,plain,
! [X0,X1,X2] :
( divides_points(X2,X0,X1)
=> ( ( left_apart_point(X1,X2)
& right_apart_point(X0,X2) )
| ( right_apart_point(X1,X2)
& left_apart_point(X0,X2) ) ) ),
inference(unused_predicate_definition_removal,[],[f8]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ~ divides_points(X2,X0,X1)
| ( left_apart_point(X1,X2)
& right_apart_point(X0,X2) )
| ( right_apart_point(X1,X2)
& left_apart_point(X0,X2) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ~ divides_points(X2,X0,X1)
| ( left_apart_point(X1,X2)
& right_apart_point(X0,X2) )
| ( right_apart_point(X1,X2)
& left_apart_point(X0,X2) ) ),
inference(flattening,[],[f44]) ).
fof(f56,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ~ left_apart_point(X0,X2)
| ~ distinct_points(X0,X1)
| left_convergent_lines(line_connecting(X0,X1),X2)
| left_apart_point(X1,X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ~ left_apart_point(X0,X2)
| ~ distinct_points(X0,X1)
| left_convergent_lines(line_connecting(X0,X1),X2)
| left_apart_point(X1,X2) ),
inference(flattening,[],[f71]) ).
fof(f79,plain,
? [X0,X1,X2,X3] :
( divides_points(X3,X0,X2)
& divides_points(X3,X0,X1)
& divides_points(X3,X1,X2) ),
inference(ennf_transformation,[],[f38]) ).
fof(f80,plain,
? [X0,X1,X2,X3] :
( divides_points(X3,X0,X2)
& divides_points(X3,X0,X1)
& divides_points(X3,X1,X2) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
! [X0,X1] :
( ( ~ right_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) )
& ( ~ left_apart_point(X0,reverse_line(X1))
| right_apart_point(X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f82,plain,
( divides_points(sK3,sK0,sK2)
& divides_points(sK3,sK0,sK1)
& divides_points(sK3,sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f80]) ).
fof(f83,plain,
! [X0,X1] :
( ~ right_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f88,plain,
! [X2,X0,X1] :
( ~ divides_points(X2,X0,X1)
| left_apart_point(X1,X2)
| right_apart_point(X1,X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f104,plain,
! [X0,X1] : ~ left_apart_point(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f56]) ).
fof(f105,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f56]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ left_apart_point(X0,X2)
| ~ distinct_points(X0,X1)
| left_convergent_lines(line_connecting(X0,X1),X2)
| left_apart_point(X1,X2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f125,plain,
divides_points(sK3,sK0,sK2),
inference(cnf_transformation,[],[f82]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( left_apart_point(X0,reverse_line(X1))
| ~ right_apart_point(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( left_apart_point(X2,X0)
| right_apart_point(X2,X0)
| ~ divides_points(X0,X1,X2) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f105]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] : ~ left_apart_point(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f104]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( left_apart_point(X2,X1)
| left_convergent_lines(line_connecting(X0,X2),X1)
| ~ distinct_points(X0,X2)
| ~ left_apart_point(X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_93,negated_conjecture,
divides_points(sK3,sK0,sK2),
inference(cnf_transformation,[],[f125]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i] : ~ right_apart_point(X0,X1),
inference(global_subsumption_just,[status(thm)],[c_50,c_71,c_50]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i] : ~ left_apart_point(X0,X1),
inference(global_subsumption_just,[status(thm)],[c_87,c_70]) ).
tcf(c_241,plain,
! [X0: $i,X1: $i,X2: $i] :
( left_apart_point(X2,X0)
| ~ divides_points(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_57,c_121]) ).
tcf(c_250,plain,
! [X0: $i,X1: $i,X2: $i] : ~ divides_points(X0,X1,X2),
inference(backward_subsumption_resolution,[status(thm)],[c_241,c_138]) ).
tcf(c_258,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_93,c_250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO238+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.58 % Computer : n014.cluster.edu
% 0.10/0.58 % Model : x86_64 x86_64
% 0.10/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58 % Memory : 8046.5625MB
% 0.10/0.58 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.58 % WCLimit : 300
% 0.10/0.58 % DateTime : Wed Sep 23 11:37:51 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.10/0.58 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.62 Running first-order theorem proving
% 0.10/0.62 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
% 0.14/0.63
% 0.14/0.63 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.63
% 0.14/0.64 % Detected problem language: tptp
% 0.14/0.65 % Proving...
% 1.31/1.50 % SZS status Started for theBenchmark.p
% 1.31/1.50 % SZS status Theorem for theBenchmark.p
% 1.31/1.50
% 1.31/1.50 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.31/1.50
% 1.31/1.50 % ------ iProver source info
% 1.31/1.50
% 1.31/1.50 % git: date: 2026-07-19 20:42:38 +0200
% 1.31/1.50 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.31/1.50 % git: non_committed_changes: false
% 1.31/1.50
% 1.31/1.50 % ------ Parsing...
% 1.31/1.50 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.31/1.50
% 1.31/1.50 % ------ Preprocessing...%
% 1.31/1.50
% 1.31/1.50 % SZS status Theorem for theBenchmark.p
% 1.31/1.50
% 1.31/1.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.31/1.50
% 1.31/1.50
%------------------------------------------------------------------------------