%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO238+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.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 0.70s 1.06s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 7 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 71 ( 23 ~; 25 |; 18 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 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 : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 57 !; 8 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2] :
( divides_points(X2,X0,X1)
<=> ( ( left_apart_point(X1,X2)
& left_apart_point(X0,reverse_line(X2)) )
| ( left_apart_point(X1,reverse_line(X2))
& left_apart_point(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',div_def) ).
fof(f15,axiom,
! [X0,X1] :
~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag10) ).
fof(f28,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/sandbox/benchmark/Axioms/GEO007+0.ax',oaguc2) ).
fof(f32,conjecture,
! [X0,X1,X2,X3] :
( ( divides_points(X3,X0,X2)
& divides_points(X3,X0,X1) )
=> ~ divides_points(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f33,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)],[f32]) ).
fof(f34,plain,
! [X0,X1,X2] :
( divides_points(X2,X0,X1)
=> ( ( left_apart_point(X1,X2)
& left_apart_point(X0,reverse_line(X2)) )
| ( left_apart_point(X1,reverse_line(X2))
& left_apart_point(X0,X2) ) ) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ~ divides_points(X2,X0,X1)
| ( left_apart_point(X1,X2)
& left_apart_point(X0,reverse_line(X2)) )
| ( left_apart_point(X1,reverse_line(X2))
& left_apart_point(X0,X2) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ~ divides_points(X2,X0,X1)
| ( left_apart_point(X1,X2)
& left_apart_point(X0,reverse_line(X2)) )
| ( left_apart_point(X1,reverse_line(X2))
& left_apart_point(X0,X2) ) ),
inference(flattening,[],[f37]) ).
fof(f51,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f65,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,[],[f28]) ).
fof(f66,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,[],[f65]) ).
fof(f73,plain,
? [X0,X1,X2,X3] :
( divides_points(X3,X0,X2)
& divides_points(X3,X0,X1)
& divides_points(X3,X1,X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f74,plain,
? [X0,X1,X2,X3] :
( divides_points(X3,X0,X2)
& divides_points(X3,X0,X1)
& divides_points(X3,X1,X2) ),
inference(flattening,[],[f73]) ).
fof(f75,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)],[f74]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ divides_points(X2,X0,X1)
| left_apart_point(X0,reverse_line(X2))
| left_apart_point(X0,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f95,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f51]) ).
fof(f111,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,[],[f66]) ).
fof(f117,plain,
divides_points(sK3,sK1,sK2),
inference(cnf_transformation,[],[f75]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] :
( left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0))
| ~ divides_points(X0,X1,X2) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f95]) ).
tcf(c_84,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,[],[f111]) ).
tcf(c_88,negated_conjecture,
divides_points(sK3,sK1,sK2),
inference(cnf_transformation,[],[f117]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i] : ~ left_apart_point(X0,X1),
inference(global_subsumption_just,[status(thm)],[c_84,c_67]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i,X2: $i] :
( left_apart_point(X1,X0)
| ~ divides_points(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_51,c_124]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i,X2: $i] : ~ divides_points(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[c_153,c_124]) ).
tcf(c_176,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_88,c_171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO238+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Wed Sep 23 11:37:06 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.33
% 0.07/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.33
% 0.07/0.33 % Detected problem language: tptp
% 0.07/0.34 % Proving...
% 0.70/1.06 % SZS status Started for theBenchmark.p
% 0.70/1.06 % SZS status Theorem for theBenchmark.p
% 0.70/1.06
% 0.70/1.06 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.70/1.06
% 0.70/1.06 % ------ iProver source info
% 0.70/1.06
% 0.70/1.06 % git: date: 2026-07-19 20:42:38 +0200
% 0.70/1.06 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.70/1.06 % git: non_committed_changes: false
% 0.70/1.06
% 0.70/1.06 % ------ Parsing...
% 0.70/1.06 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.70/1.06
% 0.70/1.06 % ------ Preprocessing...%
% 0.70/1.06
% 0.70/1.06 % SZS status Theorem for theBenchmark.p
% 0.70/1.06
% 0.70/1.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.70/1.06
% 0.70/1.06
%------------------------------------------------------------------------------