%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO256+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n009.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 01:20:35 PM UTC 2026
% Result : Theorem 1.52s 1.30s
% Output : CNFRefutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 68 ( 21 ~; 16 |; 26 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn 35 !; 10 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X0,X1] :
~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO009+0.ax',ax2_uniq_cons) ).
fof(f37,conjecture,
! [X0,X1,X2,X3,X4] :
( ( left_apart_point(X4,X0)
& incident_point_and_line(X3,X0)
& distinct_points(X2,X3)
& distinct_points(X1,X3) )
=> ( before_on_line(X0,X1,X2)
=> ( before_on_line(X0,X3,X2)
| before_on_line(X0,X1,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( left_apart_point(X4,X0)
& incident_point_and_line(X3,X0)
& distinct_points(X2,X3)
& distinct_points(X1,X3) )
=> ( before_on_line(X0,X1,X2)
=> ( before_on_line(X0,X3,X2)
| before_on_line(X0,X1,X3) ) ) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f53,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f68,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(f69,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,[],[f68]) ).
fof(f76,plain,
? [X0,X1,X2,X3,X4] :
( left_apart_point(X4,X0)
& incident_point_and_line(X3,X0)
& distinct_points(X2,X3)
& distinct_points(X1,X3)
& before_on_line(X0,X1,X2)
& ~ before_on_line(X0,X3,X2)
& ~ before_on_line(X0,X1,X3) ),
inference(ennf_transformation,[],[f38]) ).
fof(f77,plain,
? [X0,X1,X2,X3,X4] :
( left_apart_point(X4,X0)
& incident_point_and_line(X3,X0)
& distinct_points(X2,X3)
& distinct_points(X1,X3)
& before_on_line(X0,X1,X2)
& ~ before_on_line(X0,X3,X2)
& ~ before_on_line(X0,X1,X3) ),
inference(flattening,[],[f76]) ).
fof(f81,plain,
( left_apart_point(sK4,sK0)
& incident_point_and_line(sK3,sK0)
& distinct_points(sK2,sK3)
& distinct_points(sK1,sK3)
& before_on_line(sK0,sK1,sK2)
& ~ before_on_line(sK0,sK3,sK2)
& ~ before_on_line(sK0,sK1,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f77]) ).
fof(f105,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f53]) ).
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,[],[f69]) ).
fof(f125,plain,
left_apart_point(sK4,sK0),
inference(cnf_transformation,[],[f81]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f105]) ).
tcf(c_88,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_98,negated_conjecture,
left_apart_point(sK4,sK0),
inference(cnf_transformation,[],[f125]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i] : ~ left_apart_point(X0,X1),
inference(global_subsumption_just,[status(thm)],[c_88,c_71]) ).
tcf(c_267,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_98,c_137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO256+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n009.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Wed Sep 23 11:43:13 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 1.52/1.30 % SZS status Started for theBenchmark.p
% 1.52/1.30 % SZS status Theorem for theBenchmark.p
% 1.52/1.30
% 1.52/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.52/1.30
% 1.52/1.30 % ------ iProver source info
% 1.52/1.30
% 1.52/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 1.52/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.52/1.30 % git: non_committed_changes: false
% 1.52/1.30
% 1.52/1.30 % ------ Parsing...
% 1.52/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.52/1.30
% 1.52/1.30 % ------ Preprocessing...%
% 1.52/1.30
% 1.52/1.30 % SZS status Theorem for theBenchmark.p
% 1.52/1.30
% 1.52/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.52/1.30
% 1.52/1.30
%------------------------------------------------------------------------------