%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO223+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 01:38:38 PM UTC 2025
% Result : Theorem 263.96s 33.51s
% Output : CNFRefutation 263.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of formulae : 71 ( 24 unt; 0 def)
% Number of atoms : 161 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 170 ( 80 ~; 76 |; 5 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 77 ( 3 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [A,L] : equal_lines(parallel_through_point(L,A),orthogonal_through_point(orthogonal_through_point(L,A),A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [A,L] : equal_lines(parallel_through_point(L,A),orthogonal_through_point(orthogonal_through_point(L,A),A)),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(46,plain,
~ equal_lines(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
~ equal_lines(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)),
inference(instantiation,[status(thm)],[46]) ).
fof(ax2,plain,
! [X,Y] :
( equal_lines(X,Y)
<=> ~ distinct_lines(X,Y) ),
file('Axioms/GEO006+6.ax',ax2) ).
cnf(39,plain,
( distinct_lines(X0,X1)
| equal_lines(X0,X1) ),
inference(cnf,[status(esa)],[ax2]) ).
cnf(l1,plain,
( distinct_lines(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))
| equal_lines(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)) ),
inference(instantiation,[status(thm)],[39]) ).
fof(p1,plain,
! [X,Y] :
( distinct_lines(X,Y)
=> convergent_lines(X,Y) ),
file('Axioms/GEO006+1.ax',p1) ).
cnf(14,plain,
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf,[status(esa)],[p1]) ).
cnf(l2,plain,
( ~ distinct_lines(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))
| convergent_lines(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)) ),
inference(instantiation,[status(thm)],[14]) ).
fof(oac1,plain,
! [L,M,N] :
( ( convergent_lines(L,M)
& unorthogonal_lines(L,M) )
=> ( ( convergent_lines(L,N)
& unorthogonal_lines(L,N) )
| ( convergent_lines(M,N)
& unorthogonal_lines(M,N) ) ) ),
file('Axioms/GEO006+3.ax',oac1) ).
cnf(20,plain,
( ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1)
| unorthogonal_lines(X0,X2)
| sP0(X1,X2) ),
inference(cnf,[status(esa)],[oac1]) ).
cnf(l5,plain,
( ~ convergent_lines(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))
| ~ unorthogonal_lines(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))
| unorthogonal_lines(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))))
| sP0(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)))) ),
inference(instantiation,[status(thm)],[20]) ).
fof(cotno1,plain,
! [L,M,N] :
( ( ( ~ convergent_lines(L,M)
| ~ unorthogonal_lines(L,M) )
& ( ~ convergent_lines(L,N)
| ~ unorthogonal_lines(L,N) ) )
=> ( ~ convergent_lines(M,N)
| ~ unorthogonal_lines(M,N) ) ),
file('Axioms/GEO006+4.ax',cotno1) ).
cnf(28,plain,
( ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1)
| sP1(X2,X1)
| unorthogonal_lines(X2,X0) ),
inference(cnf,[status(esa)],[cotno1]) ).
cnf(l255,plain,
( ~ convergent_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),sK2)
| ~ unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),sK2)
| sP1(parallel_through_point(sK2,sK1),sK2)
| unorthogonal_lines(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(19,plain,
( ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1)
| convergent_lines(X0,X2)
| sP0(X1,X2) ),
inference(cnf,[status(esa)],[oac1]) ).
cnf(l274,plain,
( ~ convergent_lines(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))))
| ~ unorthogonal_lines(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))))
| convergent_lines(parallel_through_point(sK2,sK1),orthogonal_through_point(sK2,sK1))
| sP0(orthogonal_through_point(orthogonal_through_point(sK2,sK1),intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))),orthogonal_through_point(sK2,sK1)) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(21,plain,
( unorthogonal_lines(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf,[status(esa)],[oac1]) ).
cnf(l753,plain,
( unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))))
| ~ sP0(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)))) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l761,plain,
( unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))),orthogonal_through_point(sK2,sK1))
| ~ sP0(orthogonal_through_point(orthogonal_through_point(sK2,sK1),intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))),orthogonal_through_point(sK2,sK1)) ),
inference(instantiation,[status(thm)],[21]) ).
fof(ooc1,plain,
! [A,L] : ~ unorthogonal_lines(orthogonal_through_point(L,A),L),
file('Axioms/GEO006+3.ax',ooc1) ).
cnf(23,plain,
~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0),
inference(cnf,[status(esa)],[ooc1]) ).
cnf(l765,plain,
~ unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))),orthogonal_through_point(sK2,sK1)),
inference(instantiation,[status(thm)],[23]) ).
fof(ceq3,plain,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( distinct_lines(Y,Z)
| convergent_lines(X,Z) ) ),
file('Axioms/GEO006+0.ax',ceq3) ).
cnf(13,plain,
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf,[status(esa)],[ceq3]) ).
cnf(l277,plain,
( ~ convergent_lines(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))
| distinct_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))))
| convergent_lines(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)))) ),
inference(instantiation,[status(thm)],[13]) ).
fof(ouo1,plain,
! [A,L,M,N] :
( distinct_lines(L,M)
=> ( apart_point_and_line(A,L)
| apart_point_and_line(A,M)
| unorthogonal_lines(L,N)
| unorthogonal_lines(M,N) ) ),
file('Axioms/GEO006+3.ax',ouo1) ).
cnf(25,plain,
( ~ distinct_lines(X0,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| unorthogonal_lines(X0,X3)
| unorthogonal_lines(X1,X3) ),
inference(cnf,[status(esa)],[ouo1]) ).
cnf(l314,plain,
( ~ distinct_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))))
| apart_point_and_line(intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))
| apart_point_and_line(intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)),orthogonal_through_point(orthogonal_through_point(sK2,sK1),intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))))
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),orthogonal_through_point(sK2,sK1))
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))),orthogonal_through_point(sK2,sK1)) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l290,plain,
( ~ distinct_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),sK2)
| convergent_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),sK2) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(30,plain,
( convergent_lines(X0,X1)
| ~ sP1(X0,X1) ),
inference(cnf,[status(esa)],[cotno1]) ).
cnf(l265,plain,
( convergent_lines(parallel_through_point(sK2,sK1),sK2)
| ~ sP1(parallel_through_point(sK2,sK1),sK2) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l705,plain,
( ~ convergent_lines(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))
| distinct_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),sK2)
| convergent_lines(parallel_through_point(sK2,sK1),sK2) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l325,plain,
~ unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),orthogonal_through_point(sK2,sK1)),
inference(instantiation,[status(thm)],[23]) ).
cnf(l285,plain,
( ~ convergent_lines(parallel_through_point(sK2,sK1),orthogonal_through_point(sK2,sK1))
| ~ unorthogonal_lines(parallel_through_point(sK2,sK1),orthogonal_through_point(sK2,sK1))
| convergent_lines(parallel_through_point(sK2,sK1),sK2)
| sP0(orthogonal_through_point(sK2,sK1),sK2) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l754,plain,
( ~ convergent_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))))
| ~ unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))))
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),orthogonal_through_point(sK2,sK1))
| sP0(orthogonal_through_point(orthogonal_through_point(sK2,sK1),intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))),orthogonal_through_point(sK2,sK1)) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l786,plain,
( unorthogonal_lines(orthogonal_through_point(sK2,sK1),sK2)
| ~ sP0(orthogonal_through_point(sK2,sK1),sK2) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l787,plain,
~ unorthogonal_lines(orthogonal_through_point(sK2,sK1),sK2),
inference(instantiation,[status(thm)],[23]) ).
fof(couo1,plain,
! [L,M,N] :
( ( ~ unorthogonal_lines(L,M)
& ~ unorthogonal_lines(L,N) )
=> ~ convergent_lines(M,N) ),
file('Axioms/GEO006+4.ax',couo1) ).
cnf(31,plain,
( ~ convergent_lines(X0,X1)
| unorthogonal_lines(X2,X0)
| unorthogonal_lines(X2,X1) ),
inference(cnf,[status(esa)],[couo1]) ).
cnf(l256,plain,
( ~ convergent_lines(orthogonal_through_point(sK2,sK1),sK2)
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),orthogonal_through_point(sK2,sK1))
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),sK2) ),
inference(instantiation,[status(thm)],[31]) ).
cnf(l279,plain,
~ unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),orthogonal_through_point(sK2,sK1)),
inference(instantiation,[status(thm)],[23]) ).
cnf(l1136,plain,
~ unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))),orthogonal_through_point(sK2,sK1)),
inference(instantiation,[status(thm)],[23]) ).
fof(occu1,plain,
! [L,M] :
( convergent_lines(L,M)
| unorthogonal_lines(L,M) ),
file('Axioms/GEO006+3.ax',occu1) ).
cnf(18,plain,
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(cnf,[status(esa)],[occu1]) ).
cnf(l379,plain,
( convergent_lines(orthogonal_through_point(sK2,sK1),sK2)
| unorthogonal_lines(orthogonal_through_point(sK2,sK1),sK2) ),
inference(instantiation,[status(thm)],[18]) ).
fof(ooc2,plain,
! [A,L] : ~ apart_point_and_line(A,orthogonal_through_point(L,A)),
file('Axioms/GEO006+3.ax',ooc2) ).
cnf(24,plain,
~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)),
inference(cnf,[status(esa)],[ooc2]) ).
cnf(l316,plain,
~ apart_point_and_line(intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)),orthogonal_through_point(orthogonal_through_point(sK2,sK1),intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)))),
inference(instantiation,[status(thm)],[24]) ).
cnf(l321,plain,
( ~ distinct_lines(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))
| apart_point_and_line(intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)),parallel_through_point(sK2,sK1))
| apart_point_and_line(intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))
| unorthogonal_lines(parallel_through_point(sK2,sK1),orthogonal_through_point(sK2,sK1))
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),orthogonal_through_point(sK2,sK1)) ),
inference(instantiation,[status(thm)],[25]) ).
fof(ci3,plain,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),X) ),
file('Axioms/GEO006+0.ax',ci3) ).
cnf(8,plain,
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(cnf,[status(esa)],[ci3]) ).
cnf(l764,plain,
( ~ convergent_lines(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))
| ~ apart_point_and_line(intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)),parallel_through_point(sK2,sK1)) ),
inference(instantiation,[status(thm)],[8]) ).
fof(cp1,plain,
! [X,Y] : ~ convergent_lines(parallel_through_point(Y,X),Y),
file('Axioms/GEO006+2.ax',cp1) ).
cnf(15,plain,
~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(cnf,[status(esa)],[cp1]) ).
cnf(l780,plain,
~ convergent_lines(parallel_through_point(sK2,sK1),sK2),
inference(instantiation,[status(thm)],[15]) ).
cnf(l382,plain,
~ unorthogonal_lines(orthogonal_through_point(sK2,sK1),sK2),
inference(instantiation,[status(thm)],[23]) ).
cnf(l755,plain,
~ unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),orthogonal_through_point(sK2,sK1)),
inference(instantiation,[status(thm)],[23]) ).
cnf(l280,plain,
~ convergent_lines(parallel_through_point(sK2,sK1),sK2),
inference(instantiation,[status(thm)],[15]) ).
fof(ci4,plain,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),Y) ),
file('Axioms/GEO006+0.ax',ci4) ).
cnf(9,plain,
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
inference(cnf,[status(esa)],[ci4]) ).
cnf(l778,plain,
( ~ convergent_lines(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))
| ~ apart_point_and_line(intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l777,plain,
( ~ convergent_lines(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))
| ~ apart_point_and_line(intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l770,plain,
~ unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),orthogonal_through_point(sK2,sK1)),
inference(instantiation,[status(thm)],[23]) ).
cnf(l711,plain,
~ convergent_lines(parallel_through_point(sK2,sK1),sK2),
inference(instantiation,[status(thm)],[15]) ).
cnf(22,plain,
( convergent_lines(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf,[status(esa)],[oac1]) ).
cnf(l804,plain,
( convergent_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))))
| ~ sP0(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)))) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l758,plain,
( unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))),orthogonal_through_point(sK2,sK1))
| ~ sP0(orthogonal_through_point(orthogonal_through_point(sK2,sK1),intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))),orthogonal_through_point(sK2,sK1)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l760,plain,
~ unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),intersection_point(parallel_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))),orthogonal_through_point(sK2,sK1)),
inference(instantiation,[status(thm)],[23]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l5,l255,l274,l753,l761,l765,l277,l314,l290,l265,l705,l325,l285,l754,l786,l787,l256,l279,l1136,l379,l316,l321,l764,l780,l382,l755,l280,l778,l777,l770,l711,l804,l758,l760]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO223+3 : TPTP v9.0.0. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 11:45:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.35 % launching worker at depth: 11
% 0.13/0.36 % launching worker at depth: 12
% 2.52/0.64 % launching worker at depth: 13
% 263.96/33.51 % SZS status Theorem for theBenchmark
% 263.96/33.51 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------