%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO260+1 : TPTP v9.3.1. Bugfixed v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n011.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 01:20:36 PM UTC 2026
% Result : Theorem 1.73s 11.20s
% Output : CNFRefutation 1.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 69 ( 17 unt; 0 def)
% Number of atoms : 200 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 232 ( 101 ~; 91 |; 33 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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 : 10 ( 9 usr; 3 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 133 ( 0 sgn 125 !; 8 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] : ~ unequally_directed_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag5) ).
fof(f11,axiom,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X1)
=> ( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag6) ).
fof(f13,axiom,
! [X0,X1] :
( ( line(X1)
& line(X0) )
=> ( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag8) ).
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/sandbox/benchmark/Axioms/GEO007+0.ax',oag9) ).
fof(f16,axiom,
! [X0,X1] :
~ ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO007+0.ax',oagco9) ).
fof(f32,conjecture,
! [X0,X1,X2,X3] :
( ( distinct_points(X1,X2)
& distinct_points(X2,X3)
& distinct_points(X1,X3)
& line(X0) )
=> ~ ( between_on_line(X0,X1,X3,X2)
& between_on_line(X0,X1,X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( distinct_points(X1,X2)
& distinct_points(X2,X3)
& distinct_points(X1,X3)
& line(X0) )
=> ~ ( between_on_line(X0,X1,X3,X2)
& between_on_line(X0,X1,X2,X3) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ),
inference(ennf_transformation,[],[f11]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ),
inference(flattening,[],[f46]) ).
fof(f50,plain,
! [X0,X1] :
( ~ line(X1)
| ~ line(X0)
| unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f51,plain,
! [X0,X1] :
( ~ line(X1)
| ~ line(X0)
| unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f50]) ).
fof(f52,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(f53,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,[],[f52]) ).
fof(f55,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,reverse_line(X1))
& ~ left_convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f58,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(f59,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,[],[f58]) ).
fof(f64,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(f65,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,[],[f64]) ).
fof(f76,plain,
? [X0,X1,X2,X3] :
( distinct_points(X1,X2)
& distinct_points(X2,X3)
& distinct_points(X1,X3)
& line(X0)
& between_on_line(X0,X1,X3,X2)
& between_on_line(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f33]) ).
fof(f77,plain,
? [X0,X1,X2,X3] :
( distinct_points(X1,X2)
& distinct_points(X2,X3)
& distinct_points(X1,X3)
& line(X0)
& between_on_line(X0,X1,X3,X2)
& between_on_line(X0,X1,X2,X3) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
( distinct_points(sK1,sK2)
& distinct_points(sK2,sK3)
& distinct_points(sK1,sK3)
& line(sK0)
& between_on_line(sK0,sK1,sK3,sK2)
& between_on_line(sK0,sK1,sK2,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f77]) ).
fof(f95,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f101,plain,
! [X0,X1] :
( ~ line(X1)
| ~ line(X0)
| unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f102,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,[],[f53]) ).
fof(f105,plain,
! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f55]) ).
fof(f106,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f55]) ).
fof(f108,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,[],[f59]) ).
fof(f113,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,[],[f65]) ).
fof(f117,plain,
! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
inference(cnf_transformation,[],[f25]) ).
fof(f127,plain,
line(sK0),
inference(cnf_transformation,[],[f78]) ).
tcf(c_65,plain,
! [X0: $i] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f95]) ).
tcf(c_66,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,[],[f96]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1))
| ~ line(X1)
| ~ line(X0) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_72,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,[],[f102]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f106]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f105]) ).
tcf(c_78,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,[],[f108]) ).
tcf(c_84,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,[],[f113]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
inference(cnf_transformation,[],[f117]) ).
tcf(c_96,negated_conjecture,
line(sK0),
inference(cnf_transformation,[],[f127]) ).
tcf(c_112,plain,
~ unequally_directed_lines(line_connecting(sK1,sK1),reverse_line(line_connecting(sK1,sK1))),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_84,c_75,c_76,c_72]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_78,c_127]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(renaming,[status(thm)],[c_143]) ).
tcf(c_431,plain,
! [X0_iProver_unequally_directed_lines_1: iProver_unequally_directed_lines_1,X1_iProver_unequally_directed_lines_1: iProver_unequally_directed_lines_1] :
( ~ unequally_directed_lines(X0_iProver_unequally_directed_lines_1,X1_iProver_unequally_directed_lines_1)
| ~ unequally_directed_lines(X0_iProver_unequally_directed_lines_1,reverse_line(X1_iProver_unequally_directed_lines_1)) ),
inference(subtyping,[status(esa)],[c_144]) ).
tcf(c_437,plain,
! [X0_iProver_before_on_line_3: iProver_before_on_line_3,X1_iProver_before_on_line_3: iProver_before_on_line_3] : ~ unequally_directed_lines(line_connecting(X0_iProver_before_on_line_3,X1_iProver_before_on_line_3),reverse_line(line_connecting(X1_iProver_before_on_line_3,X0_iProver_before_on_line_3))),
inference(subtyping,[status(esa)],[c_87]) ).
tcf(c_439,plain,
! [X0_iProver_unequally_directed_lines_1: iProver_unequally_directed_lines_1,X1_iProver_unequally_directed_lines_1: iProver_unequally_directed_lines_1] :
( unequally_directed_lines(X0_iProver_unequally_directed_lines_1,X1_iProver_unequally_directed_lines_1)
| unequally_directed_lines(X0_iProver_unequally_directed_lines_1,reverse_line(X1_iProver_unequally_directed_lines_1))
| ~ line(X1_iProver_unequally_directed_lines_1)
| ~ line(X0_iProver_unequally_directed_lines_1) ),
inference(subtyping,[status(esa)],[c_71]) ).
tcf(c_440,plain,
! [X0_iProver_unequally_directed_lines_1: iProver_unequally_directed_lines_1,X1_iProver_unequally_directed_lines_1: iProver_unequally_directed_lines_1,X2_iProver_unequally_directed_lines_1: iProver_unequally_directed_lines_1] :
( unequally_directed_lines(X1_iProver_unequally_directed_lines_1,X2_iProver_unequally_directed_lines_1)
| unequally_directed_lines(X0_iProver_unequally_directed_lines_1,X2_iProver_unequally_directed_lines_1)
| ~ unequally_directed_lines(X0_iProver_unequally_directed_lines_1,X1_iProver_unequally_directed_lines_1) ),
inference(subtyping,[status(esa)],[c_66]) ).
tcf(c_441,plain,
! [X0_iProver_unequally_directed_lines_1: iProver_unequally_directed_lines_1] : ~ unequally_directed_lines(X0_iProver_unequally_directed_lines_1,X0_iProver_unequally_directed_lines_1),
inference(subtyping,[status(esa)],[c_65]) ).
tcf(c_446,plain,
~ unequally_directed_lines(sK0,sK0),
inference(instantiation,[status(thm)],[c_441]) ).
tcf(c_451,plain,
( unequally_directed_lines(sK0,sK0)
| unequally_directed_lines(sK0,reverse_line(sK0))
| ~ line(sK0) ),
inference(instantiation,[status(thm)],[c_439]) ).
tcf(c_482,plain,
! [X0_iProver_unequally_directed_lines_1: iProver_unequally_directed_lines_1,X0_iProver_before_on_line_3: iProver_before_on_line_3,X1_iProver_before_on_line_3: iProver_before_on_line_3] :
( unequally_directed_lines(X0_iProver_unequally_directed_lines_1,reverse_line(line_connecting(X1_iProver_before_on_line_3,X0_iProver_before_on_line_3)))
| ~ unequally_directed_lines(X0_iProver_unequally_directed_lines_1,line_connecting(X0_iProver_before_on_line_3,X1_iProver_before_on_line_3)) ),
inference(resolution,[status(thm)],[c_440,c_437]) ).
tcf(c_483,plain,
( unequally_directed_lines(sK0,reverse_line(line_connecting(sK1,sK1)))
| ~ unequally_directed_lines(sK0,line_connecting(sK1,sK1)) ),
inference(instantiation,[status(thm)],[c_482]) ).
tcf(c_562,plain,
! [X0_iProver_unequally_directed_lines_1: iProver_unequally_directed_lines_1,X1_iProver_unequally_directed_lines_1: iProver_unequally_directed_lines_1,X2_iProver_unequally_directed_lines_1: iProver_unequally_directed_lines_1] :
( unequally_directed_lines(X0_iProver_unequally_directed_lines_1,X2_iProver_unequally_directed_lines_1)
| unequally_directed_lines(reverse_line(X1_iProver_unequally_directed_lines_1),X2_iProver_unequally_directed_lines_1)
| ~ unequally_directed_lines(X0_iProver_unequally_directed_lines_1,reverse_line(X1_iProver_unequally_directed_lines_1)) ),
inference(instantiation,[status(thm)],[c_440]) ).
tcf(c_620,plain,
! [X0_iProver_unequally_directed_lines_1: iProver_unequally_directed_lines_1,X1_iProver_unequally_directed_lines_1: iProver_unequally_directed_lines_1,X2_iProver_unequally_directed_lines_1: iProver_unequally_directed_lines_1] :
( unequally_directed_lines(X1_iProver_unequally_directed_lines_1,X2_iProver_unequally_directed_lines_1)
| unequally_directed_lines(reverse_line(X0_iProver_unequally_directed_lines_1),X2_iProver_unequally_directed_lines_1)
| ~ unequally_directed_lines(reverse_line(X0_iProver_unequally_directed_lines_1),X1_iProver_unequally_directed_lines_1) ),
inference(instantiation,[status(thm)],[c_440]) ).
tcf(c_623,plain,
! [X0_iProver_unequally_directed_lines_1: iProver_unequally_directed_lines_1,X0_iProver_before_on_line_3: iProver_before_on_line_3,X1_iProver_unequally_directed_lines_1: iProver_unequally_directed_lines_1,X1_iProver_before_on_line_3: iProver_before_on_line_3] :
( unequally_directed_lines(X0_iProver_unequally_directed_lines_1,line_connecting(X0_iProver_before_on_line_3,X1_iProver_before_on_line_3))
| unequally_directed_lines(reverse_line(X1_iProver_unequally_directed_lines_1),line_connecting(X0_iProver_before_on_line_3,X1_iProver_before_on_line_3))
| ~ unequally_directed_lines(X0_iProver_unequally_directed_lines_1,reverse_line(X1_iProver_unequally_directed_lines_1)) ),
inference(instantiation,[status(thm)],[c_562]) ).
tcf(c_625,plain,
( unequally_directed_lines(sK0,line_connecting(sK1,sK1))
| unequally_directed_lines(reverse_line(sK0),line_connecting(sK1,sK1))
| ~ unequally_directed_lines(sK0,reverse_line(sK0)) ),
inference(instantiation,[status(thm)],[c_623]) ).
tcf(c_915,plain,
! [X0_iProver_unequally_directed_lines_1: iProver_unequally_directed_lines_1,X1_iProver_unequally_directed_lines_1: iProver_unequally_directed_lines_1,X2_iProver_unequally_directed_lines_1: iProver_unequally_directed_lines_1] :
( unequally_directed_lines(X1_iProver_unequally_directed_lines_1,reverse_line(X2_iProver_unequally_directed_lines_1))
| unequally_directed_lines(reverse_line(X0_iProver_unequally_directed_lines_1),reverse_line(X2_iProver_unequally_directed_lines_1))
| ~ unequally_directed_lines(reverse_line(X0_iProver_unequally_directed_lines_1),X1_iProver_unequally_directed_lines_1) ),
inference(instantiation,[status(thm)],[c_620]) ).
tcf(c_956,plain,
! [X0_iProver_unequally_directed_lines_1: iProver_unequally_directed_lines_1,X0_iProver_before_on_line_3: iProver_before_on_line_3,X1_iProver_before_on_line_3: iProver_before_on_line_3] :
( ~ unequally_directed_lines(X0_iProver_unequally_directed_lines_1,line_connecting(X0_iProver_before_on_line_3,X1_iProver_before_on_line_3))
| ~ unequally_directed_lines(X0_iProver_unequally_directed_lines_1,reverse_line(line_connecting(X0_iProver_before_on_line_3,X1_iProver_before_on_line_3))) ),
inference(instantiation,[status(thm)],[c_431]) ).
tcf(c_957,plain,
( ~ unequally_directed_lines(sK0,line_connecting(sK1,sK1))
| ~ unequally_directed_lines(sK0,reverse_line(line_connecting(sK1,sK1))) ),
inference(instantiation,[status(thm)],[c_956]) ).
tcf(c_1406,plain,
! [X0_iProver_unequally_directed_lines_1: iProver_unequally_directed_lines_1,X0_iProver_before_on_line_3: iProver_before_on_line_3,X1_iProver_before_on_line_3: iProver_before_on_line_3] :
( ~ unequally_directed_lines(reverse_line(X0_iProver_unequally_directed_lines_1),line_connecting(X0_iProver_before_on_line_3,X1_iProver_before_on_line_3))
| ~ unequally_directed_lines(reverse_line(X0_iProver_unequally_directed_lines_1),reverse_line(line_connecting(X0_iProver_before_on_line_3,X1_iProver_before_on_line_3))) ),
inference(instantiation,[status(thm)],[c_956]) ).
tcf(c_1409,plain,
( ~ unequally_directed_lines(reverse_line(sK0),line_connecting(sK1,sK1))
| ~ unequally_directed_lines(reverse_line(sK0),reverse_line(line_connecting(sK1,sK1))) ),
inference(instantiation,[status(thm)],[c_1406]) ).
tcf(c_1629,plain,
! [X0_iProver_unequally_directed_lines_1: iProver_unequally_directed_lines_1,X0_iProver_before_on_line_3: iProver_before_on_line_3,X1_iProver_before_on_line_3: iProver_before_on_line_3] :
( unequally_directed_lines(reverse_line(X0_iProver_unequally_directed_lines_1),reverse_line(line_connecting(X1_iProver_before_on_line_3,X0_iProver_before_on_line_3)))
| unequally_directed_lines(line_connecting(X0_iProver_before_on_line_3,X1_iProver_before_on_line_3),reverse_line(line_connecting(X1_iProver_before_on_line_3,X0_iProver_before_on_line_3)))
| ~ unequally_directed_lines(reverse_line(X0_iProver_unequally_directed_lines_1),line_connecting(X0_iProver_before_on_line_3,X1_iProver_before_on_line_3)) ),
inference(instantiation,[status(thm)],[c_915]) ).
tcf(c_1630,plain,
( unequally_directed_lines(reverse_line(sK0),reverse_line(line_connecting(sK1,sK1)))
| unequally_directed_lines(line_connecting(sK1,sK1),reverse_line(line_connecting(sK1,sK1)))
| ~ unequally_directed_lines(reverse_line(sK0),line_connecting(sK1,sK1)) ),
inference(instantiation,[status(thm)],[c_1629]) ).
tcf(c_2477,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1630,c_1409,c_957,c_625,c_483,c_451,c_446,c_112,c_96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO260+1 : TPTP v9.3.1. Bugfixed v8.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/10.38 % Computer : n011.cluster.edu
% 0.09/10.38 % Model : x86_64 x86_64
% 0.09/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.38 % Memory : 8046.5625MB
% 0.09/10.38 % OS : Linux 6.8.0-71-generic
% 0.09/10.38 % CPULimit : 300
% 0.09/10.38 % WCLimit : 300
% 0.09/10.38 % DateTime : Wed Sep 23 11:44:38 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.09/10.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/10.42 Running first-order theorem proving
% 0.14/10.42 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
% 0.14/10.43
% 0.14/10.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.43
% 0.14/10.43 % Detected problem language: tptp
% 0.14/10.44 % Proving...
% 1.73/11.20 % SZS status Started for theBenchmark.p
% 1.73/11.20 % SZS status Theorem for theBenchmark.p
% 1.73/11.20
% 1.73/11.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.73/11.20
% 1.73/11.20 % ------ iProver source info
% 1.73/11.20
% 1.73/11.20 % git: date: 2026-07-19 20:42:38 +0200
% 1.73/11.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.73/11.20 % git: non_committed_changes: false
% 1.73/11.20
% 1.73/11.20 % ------ Parsing...
% 1.73/11.20 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.73/11.20
% 1.73/11.20 % ------ Preprocessing... sf_s rm: 11 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.73/11.20
% 1.73/11.20 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.73/11.20 % ------ Proving...
% 1.73/11.20 % ------ Problem Properties
% 1.73/11.20
% 1.73/11.20 %
% 1.73/11.20 % clauses 22
% 1.73/11.20 % conjectures 4
% 1.73/11.20 % EPR 16
% 1.73/11.20 % Horn 12
% 1.73/11.20 % unary 8
% 1.73/11.20 % binary 11
% 1.73/11.20 % lits 40
% 1.73/11.20 % lits eq 0
% 1.73/11.20 % fd_pure 0
% 1.73/11.20 % fd_pseudo 0
% 1.73/11.20 % fd_cond 0
% 1.73/11.20 % fd_pseudo_cond 0
% 1.73/11.20 % AC symbols 0
% 1.73/11.20
% 1.73/11.20 % ------ Input Options Time Limit: Unbounded
% 1.73/11.20
% 1.73/11.20
% 1.73/11.20 % ------
% 1.73/11.20 % Current options:
% 1.73/11.20 % ------
% 1.73/11.20
% 1.73/11.20
% 1.73/11.20 %
% 1.73/11.20
% 1.73/11.20 % ------ Proving...
% 1.73/11.20 %
% 1.73/11.20
% 1.73/11.20 % SZS status Theorem for theBenchmark.p
% 1.73/11.20
% 1.73/11.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.92/11.20
%------------------------------------------------------------------------------