%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO230+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n026.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 01:20:28 PM UTC 2026
% Result : Theorem 4.02s 1.31s
% Output : CNFRefutation 4.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 82 ( 15 unt; 0 def)
% Number of atoms : 251 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 284 ( 115 ~; 146 |; 15 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 152 ( 0 sgn 150 !; 2 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X1)
=> ( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag6) ).
fof(f14,axiom,
! [X0,X1] :
( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
=> ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag9) ).
fof(f15,axiom,
! [X0,X1] :
~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag10) ).
fof(f16,axiom,
! [X0,X1] :
~ ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag11) ).
fof(f18,axiom,
! [X0,X1] :
( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1)
& line(X1)
& line(X0) )
=> point(intersection_point(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oagco2) ).
fof(f22,axiom,
! [X0,X1] :
( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
=> ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oagco6) ).
fof(f25,axiom,
! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oagco9) ).
fof(f27,axiom,
! [X0,X1,X2,X3] :
( ( distinct_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( left_apart_point(X1,reverse_line(X3))
| left_apart_point(X0,reverse_line(X3))
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X0,reverse_line(X2))
| left_apart_point(X1,X3)
| left_apart_point(X0,X3)
| left_apart_point(X1,X2)
| left_apart_point(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oaguc1) ).
fof(f29,axiom,
! [X0,X1,X2] :
( left_apart_point(X0,X2)
=> ( left_apart_point(X1,X2)
| distinct_points(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oagsub1) ).
fof(f32,conjecture,
! [X0,X1] :
( distinct_points(X0,X1)
=> ( ~ unequally_directed_lines(line_connecting(X1,X0),line_connecting(X0,X1))
& ~ distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0,X1] :
( distinct_points(X0,X1)
=> ( ~ unequally_directed_lines(line_connecting(X1,X0),line_connecting(X0,X1))
& ~ distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f35,plain,
? [X0,X1] :
( distinct_points(X0,X1)
& ( unequally_directed_lines(line_connecting(X1,X0),line_connecting(X0,X1))
| distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ),
inference(ennf_transformation,[],[f11]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ),
inference(flattening,[],[f41]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ~ left_apart_point(X0,X2)
| left_apart_point(X1,X2)
| distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ~ left_apart_point(X0,X2)
| left_apart_point(X1,X2)
| distinct_points(X0,X1) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
! [X0,X1,X2,X3] :
( ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1)
| left_apart_point(X1,reverse_line(X3))
| left_apart_point(X0,reverse_line(X3))
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X0,reverse_line(X2))
| left_apart_point(X1,X3)
| left_apart_point(X0,X3)
| left_apart_point(X1,X2)
| left_apart_point(X0,X2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f46,plain,
! [X0,X1,X2,X3] :
( ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1)
| left_apart_point(X1,reverse_line(X3))
| left_apart_point(X0,reverse_line(X3))
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X0,reverse_line(X2))
| left_apart_point(X1,X3)
| left_apart_point(X0,X3)
| left_apart_point(X1,X2)
| left_apart_point(X0,X2) ),
inference(flattening,[],[f45]) ).
fof(f53,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f56,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,reverse_line(X1))
& ~ left_convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f57,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f58,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(flattening,[],[f57]) ).
fof(f65,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0)
| point(intersection_point(X0,X1)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f66,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0)
| point(intersection_point(X0,X1)) ),
inference(flattening,[],[f65]) ).
fof(f69,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X0) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f70,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X0) ) ),
inference(flattening,[],[f69]) ).
fof(f71,plain,
( distinct_points(sK0,sK1)
& ( unequally_directed_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1))
| distinct_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f35]) ).
fof(f72,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f71]) ).
fof(f73,plain,
( unequally_directed_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1))
| distinct_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f75,plain,
! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
inference(cnf_transformation,[],[f25]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ left_apart_point(X0,X2)
| left_apart_point(X1,X2)
| distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f85,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1)
| left_apart_point(X1,reverse_line(X3))
| left_apart_point(X0,reverse_line(X3))
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X0,reverse_line(X2))
| left_apart_point(X1,X3)
| left_apart_point(X0,X3)
| left_apart_point(X1,X2)
| left_apart_point(X0,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f93,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f53]) ).
fof(f95,plain,
! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f56]) ).
fof(f96,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f56]) ).
fof(f97,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f105,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0)
| point(intersection_point(X0,X1)) ),
inference(cnf_transformation,[],[f66]) ).
fof(f107,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_49,negated_conjecture,
( unequally_directed_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1))
| distinct_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0)) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_50,negated_conjecture,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f72]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
inference(cnf_transformation,[],[f75]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( left_apart_point(X2,X1)
| distinct_points(X0,X2)
| ~ left_apart_point(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( left_apart_point(X3,X1)
| left_apart_point(X3,X0)
| left_apart_point(X2,X1)
| left_apart_point(X2,X0)
| left_apart_point(X3,reverse_line(X1))
| left_apart_point(X3,reverse_line(X0))
| left_apart_point(X2,reverse_line(X1))
| left_apart_point(X2,reverse_line(X0))
| ~ distinct_points(X2,X3)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f93]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f96]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f95]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( point(intersection_point(X0,X1))
| ~ line(X1)
| ~ line(X0)
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_97,plain,
~ unequally_directed_lines(line_connecting(sK0,sK0),reverse_line(line_connecting(sK0,sK0))),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i] : ~ left_apart_point(X0,X1),
inference(global_subsumption_just,[status(thm)],[c_61,c_69]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_85,c_72,c_73,c_74]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_82,c_108]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(renaming,[status(thm)],[c_122]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( left_apart_point(X3,X1)
| left_apart_point(X3,X0)
| left_apart_point(X2,X1)
| left_apart_point(X2,X0)
| left_apart_point(X3,reverse_line(X1))
| left_apart_point(X3,reverse_line(X0))
| left_apart_point(X2,reverse_line(X1))
| ~ distinct_points(X2,X3)
| ~ distinct_lines(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_62,c_106]) ).
tcf(c_215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ distinct_points(X2,X3)
| ~ distinct_lines(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137,c_106,c_106,c_106,c_106,c_106,c_106,c_106]) ).
tcf(c_266,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_10
| ~ distinct_points(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_215]) ).
tcf(c_267,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| ~ distinct_lines(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_215]) ).
tcf(c_268,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_215]) ).
tcf(c_269,plain,
( ~ iPr_def_10
| ~ distinct_points(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_266]) ).
tcf(c_278,plain,
! [X0: $i] :
( unequally_directed_lines(line_connecting(sK1,sK0),X0)
| unequally_directed_lines(line_connecting(sK0,sK1),X0)
| ~ unequally_directed_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_281,plain,
( ~ iPr_def_11
| ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0)) ),
inference(instantiation,[status(thm)],[c_267]) ).
tcf(c_298,plain,
! [X0: $i,X1: $i] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(line_connecting(sK0,sK1),X1)
| ~ unequally_directed_lines(line_connecting(sK0,sK1),X0) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_299,plain,
! [X0: $i] :
( ~ unequally_directed_lines(line_connecting(sK0,sK1),X0)
| ~ unequally_directed_lines(line_connecting(sK0,sK1),reverse_line(X0)) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_323,plain,
! [X0: $i,X1: $i] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(line_connecting(sK0,sK1),reverse_line(X1))
| ~ unequally_directed_lines(line_connecting(sK0,sK1),X0) ),
inference(instantiation,[status(thm)],[c_298]) ).
tcf(c_344,plain,
! [X0: $i] :
( ~ unequally_directed_lines(line_connecting(sK1,sK0),X0)
| ~ unequally_directed_lines(line_connecting(sK1,sK0),reverse_line(X0)) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_447,plain,
! [X0: $i,X1: $i] :
( unequally_directed_lines(line_connecting(sK0,sK1),reverse_line(line_connecting(X1,X0)))
| unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0)))
| ~ unequally_directed_lines(line_connecting(sK0,sK1),line_connecting(X0,X1)) ),
inference(instantiation,[status(thm)],[c_323]) ).
tcf(c_448,plain,
( unequally_directed_lines(line_connecting(sK0,sK1),reverse_line(line_connecting(sK0,sK0)))
| unequally_directed_lines(line_connecting(sK0,sK0),reverse_line(line_connecting(sK0,sK0)))
| ~ unequally_directed_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK0)) ),
inference(instantiation,[status(thm)],[c_447]) ).
tcf(c_467,negated_conjecture,
unequally_directed_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1)),
inference(global_subsumption_just,[status(thm)],[c_49,c_50,c_49,c_268,c_269,c_281]) ).
tcf(c_522,plain,
! [X0: $i] :
( unequally_directed_lines(line_connecting(sK1,sK0),X0)
| unequally_directed_lines(line_connecting(sK0,sK1),X0) ),
inference(superposition,[status(thm)],[c_467,c_59]) ).
tcf(c_770,plain,
! [X0: $i,X1: $i] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(line_connecting(sK1,sK0),X1)
| unequally_directed_lines(line_connecting(sK0,sK1),X0) ),
inference(superposition,[status(thm)],[c_522,c_59]) ).
tcf(c_858,plain,
! [X0: $i,X1: $i] :
( unequally_directed_lines(line_connecting(sK1,sK0),line_connecting(X0,X1))
| unequally_directed_lines(line_connecting(sK0,sK1),line_connecting(X0,X1))
| ~ unequally_directed_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_278]) ).
tcf(c_859,plain,
( unequally_directed_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK0))
| unequally_directed_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK0))
| ~ unequally_directed_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_858]) ).
tcf(c_954,plain,
! [X0: $i,X1: $i] :
( ~ unequally_directed_lines(line_connecting(sK0,sK1),line_connecting(X0,X1))
| ~ unequally_directed_lines(line_connecting(sK0,sK1),reverse_line(line_connecting(X0,X1))) ),
inference(instantiation,[status(thm)],[c_299]) ).
tcf(c_955,plain,
( ~ unequally_directed_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK0))
| ~ unequally_directed_lines(line_connecting(sK0,sK1),reverse_line(line_connecting(sK0,sK0))) ),
inference(instantiation,[status(thm)],[c_954]) ).
tcf(c_1008,plain,
! [X0: $i,X1: $i] :
( unequally_directed_lines(line_connecting(sK0,sK1),line_connecting(X1,X0))
| unequally_directed_lines(line_connecting(sK1,sK0),reverse_line(line_connecting(X0,X1))) ),
inference(superposition,[status(thm)],[c_770,c_52]) ).
tcf(c_1062,plain,
( unequally_directed_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK0))
| unequally_directed_lines(line_connecting(sK1,sK0),reverse_line(line_connecting(sK0,sK0))) ),
inference(instantiation,[status(thm)],[c_1008]) ).
tcf(c_2484,plain,
! [X0: $i,X1: $i] :
( ~ unequally_directed_lines(line_connecting(sK1,sK0),line_connecting(X0,X1))
| ~ unequally_directed_lines(line_connecting(sK1,sK0),reverse_line(line_connecting(X0,X1))) ),
inference(instantiation,[status(thm)],[c_344]) ).
tcf(c_2487,plain,
( ~ unequally_directed_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK0))
| ~ unequally_directed_lines(line_connecting(sK1,sK0),reverse_line(line_connecting(sK0,sK0))) ),
inference(instantiation,[status(thm)],[c_2484]) ).
tcf(c_2670,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2487,c_1062,c_955,c_859,c_448,c_281,c_269,c_268,c_49,c_97,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO230+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n026.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 11:37:55 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.45 % Proving...
% 4.02/1.31 % SZS status Started for theBenchmark.p
% 4.02/1.31 % SZS status Theorem for theBenchmark.p
% 4.02/1.31
% 4.02/1.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.02/1.31
% 4.02/1.31 % ------ iProver source info
% 4.02/1.31
% 4.02/1.31 % git: date: 2026-07-19 20:42:38 +0200
% 4.02/1.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.02/1.31 % git: non_committed_changes: false
% 4.02/1.31
% 4.02/1.31 % ------ Parsing...
% 4.02/1.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.02/1.31
% 4.02/1.31 % ------ Preprocessing... sf_s rm: 9 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.02/1.31
% 4.02/1.31 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.02/1.31 % ------ Proving...
% 4.02/1.31 % ------ Problem Properties
% 4.02/1.31
% 4.02/1.31 %
% 4.02/1.31 % clauses 15
% 4.02/1.31 % conjectures 2
% 4.02/1.31 % EPR 10
% 4.02/1.31 % Horn 10
% 4.02/1.31 % unary 7
% 4.02/1.31 % binary 5
% 4.02/1.31 % lits 26
% 4.02/1.31 % lits eq 0
% 4.02/1.31 % fd_pure 0
% 4.02/1.31 % fd_pseudo 0
% 4.02/1.31 % fd_cond 0
% 4.02/1.31 % fd_pseudo_cond 0
% 4.02/1.31 % AC symbols 0
% 4.02/1.31
% 4.02/1.31 % ------ Schedule dynamic 5 is on
% 4.02/1.31
% 4.02/1.31 % ------ no equalities: superposition off
% 4.02/1.31
% 4.02/1.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.02/1.31
% 4.02/1.31
% 4.02/1.31 % ------
% 4.02/1.31 % Current options:
% 4.02/1.31 % ------
% 4.02/1.31
% 4.02/1.31
% 4.02/1.31 %
% 4.02/1.31
% 4.02/1.31 % ------ Proving...
% 4.02/1.31 %
% 4.02/1.31
% 4.02/1.31 % SZS status Theorem for theBenchmark.p
% 4.02/1.31
% 4.02/1.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.02/1.31
% 4.02/1.31
%------------------------------------------------------------------------------