%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO237+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 : 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 01:20:30 PM UTC 2026
% Result : Theorem 0.43s 11.29s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 56 ( 23 ~; 14 |; 14 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 40 ( 0 sgn 32 !; 8 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( apart_point_and_line(X0,X1)
<=> ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',apt_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(f32,conjecture,
! [X0,X1,X2,X3] :
( apart_point_and_line(X2,X3)
=> ( divides_points(X3,X0,X1)
=> ( divides_points(X3,X1,X2)
| divides_points(X3,X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( apart_point_and_line(X2,X3)
=> ( divides_points(X3,X0,X1)
=> ( divides_points(X3,X1,X2)
| divides_points(X3,X0,X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f46,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f68,plain,
? [X0,X1,X2,X3] :
( apart_point_and_line(X2,X3)
& divides_points(X3,X0,X1)
& ~ divides_points(X3,X1,X2)
& ~ divides_points(X3,X0,X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f69,plain,
? [X0,X1,X2,X3] :
( apart_point_and_line(X2,X3)
& divides_points(X3,X0,X1)
& ~ divides_points(X3,X1,X2)
& ~ divides_points(X3,X0,X2) ),
inference(flattening,[],[f68]) ).
fof(f70,plain,
! [X0,X1] :
( ( ~ apart_point_and_line(X0,X1)
| left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) )
& ( ( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) )
| apart_point_and_line(X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f71,plain,
! [X0,X1] :
( ( ~ apart_point_and_line(X0,X1)
| left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) )
& ( ( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) )
| apart_point_and_line(X0,X1) ) ),
inference(flattening,[],[f70]) ).
fof(f74,plain,
( apart_point_and_line(sK2,sK3)
& divides_points(sK3,sK0,sK1)
& ~ divides_points(sK3,sK1,sK2)
& ~ divides_points(sK3,sK0,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f69]) ).
fof(f75,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
| left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f96,plain,
! [X0,X1] : ~ left_apart_point(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f46]) ).
fof(f97,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f46]) ).
fof(f117,plain,
apart_point_and_line(sK2,sK3),
inference(cnf_transformation,[],[f74]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1))
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f97]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] : ~ left_apart_point(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f96]) ).
tcf(c_94,negated_conjecture,
apart_point_and_line(sK2,sK3),
inference(cnf_transformation,[],[f117]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i] : ~ apart_point_and_line(X0,X1),
inference(global_subsumption_just,[status(thm)],[c_51,c_70,c_71,c_51]) ).
tcf(c_149,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_94,c_121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO237+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/10.38 % Computer : n002.cluster.edu
% 0.11/10.38 % Model : x86_64 x86_64
% 0.11/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.38 % Memory : 8046.5625MB
% 0.11/10.38 % OS : Linux 6.8.0-71-generic
% 0.11/10.38 % CPULimit : 300
% 0.11/10.38 % WCLimit : 300
% 0.11/10.38 % DateTime : Wed Sep 23 11:39:05 UTC 2026
% 0.11/10.39 % CPUTime :
% 0.11/10.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/10.42 Running first-order theorem proving
% 0.16/10.42 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
% 0.16/10.44
% 0.16/10.44 % ======== iProver multi-core TPTP/SMT =========
% 0.16/10.44
% 0.16/10.44 % Detected problem language: tptp
% 0.16/10.45 % Proving...
% 0.43/11.29 % SZS status Started for theBenchmark.p
% 0.43/11.29 % SZS status Theorem for theBenchmark.p
% 0.43/11.29
% 0.43/11.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.43/11.29
% 0.43/11.29 % ------ iProver source info
% 0.43/11.29
% 0.43/11.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.43/11.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.43/11.29 % git: non_committed_changes: false
% 0.43/11.29
% 0.43/11.29 % ------ Parsing...
% 0.43/11.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.43/11.29
% 0.43/11.29 % ------ Preprocessing...%
% 0.43/11.29
% 0.43/11.29 % SZS status Theorem for theBenchmark.p
% 0.43/11.29
% 0.43/11.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.43/11.29
% 0.43/11.29
%------------------------------------------------------------------------------