%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO222+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 55.51s 7.33s
% Output : CNFRefutation 55.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 50 ( 16 unt; 0 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 121 ( 57 ~; 52 |; 6 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 58 ( 3 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [A,L] : parallel_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [A,L] : parallel_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(46,plain,
~ parallel_lines(sK2,orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
~ parallel_lines(sK2,orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)),
inference(instantiation,[status(thm)],[46]) ).
fof(a3,plain,
! [X,Y] :
( parallel_lines(X,Y)
<=> ~ convergent_lines(X,Y) ),
file('Axioms/GEO006+6.ax',a3) ).
cnf(41,plain,
( convergent_lines(X0,X1)
| parallel_lines(X0,X1) ),
inference(cnf,[status(esa)],[a3]) ).
cnf(l1,plain,
( convergent_lines(sK2,orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))
| parallel_lines(sK2,orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)) ),
inference(instantiation,[status(thm)],[41]) ).
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(l2,plain,
( ~ convergent_lines(sK2,orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))
| ~ unorthogonal_lines(sK2,orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))
| sP1(orthogonal_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))
| unorthogonal_lines(orthogonal_through_point(sK2,sK1),sK2) ),
inference(instantiation,[status(thm)],[28]) ).
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(l4,plain,
~ unorthogonal_lines(orthogonal_through_point(sK2,sK1),sK2),
inference(instantiation,[status(thm)],[23]) ).
cnf(l3,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(sK2,sK2)
| unorthogonal_lines(sK2,orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(30,plain,
( convergent_lines(X0,X1)
| ~ sP1(X0,X1) ),
inference(cnf,[status(esa)],[cotno1]) ).
cnf(l8,plain,
( convergent_lines(sK2,sK2)
| ~ sP1(sK2,sK2) ),
inference(instantiation,[status(thm)],[30]) ).
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(l13,plain,
( ~ convergent_lines(sK2,sK2)
| ~ unorthogonal_lines(sK2,sK2)
| unorthogonal_lines(sK2,orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))
| sP0(sK2,orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)) ),
inference(instantiation,[status(thm)],[20]) ).
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(l5,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(21,plain,
( unorthogonal_lines(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf,[status(esa)],[oac1]) ).
cnf(l45,plain,
( unorthogonal_lines(sK2,orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))
| ~ sP0(sK2,orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)) ),
inference(instantiation,[status(thm)],[21]) ).
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(l71,plain,
( ~ convergent_lines(sK2,orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))
| distinct_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),sK2)
| convergent_lines(sK2,sK2) ),
inference(instantiation,[status(thm)],[13]) ).
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(l14,plain,
( ~ convergent_lines(sK2,sK2)
| unorthogonal_lines(sK2,sK2)
| unorthogonal_lines(sK2,sK2) ),
inference(instantiation,[status(thm)],[31]) ).
cnf(29,plain,
( unorthogonal_lines(X0,X1)
| ~ sP1(X0,X1) ),
inference(cnf,[status(esa)],[cotno1]) ).
cnf(l6,plain,
( unorthogonal_lines(orthogonal_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))
| ~ sP1(orthogonal_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l11,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]) ).
fof(apart3,plain,
! [X] : ~ convergent_lines(X,X),
file('Axioms/GEO006+0.ax',apart3) ).
cnf(2,plain,
~ convergent_lines(X0,X0),
inference(cnf,[status(esa)],[apart3]) ).
cnf(l114,plain,
~ convergent_lines(sK2,sK2),
inference(instantiation,[status(thm)],[2]) ).
cnf(l54,plain,
~ unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),orthogonal_through_point(sK2,sK1)),
inference(instantiation,[status(thm)],[23]) ).
cnf(19,plain,
( ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1)
| convergent_lines(X0,X2)
| sP0(X1,X2) ),
inference(cnf,[status(esa)],[oac1]) ).
cnf(l178,plain,
( ~ convergent_lines(orthogonal_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))
| ~ unorthogonal_lines(orthogonal_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))
| convergent_lines(orthogonal_through_point(sK2,sK1),orthogonal_through_point(sK2,sK1))
| sP0(orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1),orthogonal_through_point(sK2,sK1)) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l212,plain,
( convergent_lines(orthogonal_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))
| ~ sP1(orthogonal_through_point(sK2,sK1),orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l179,plain,
( ~ convergent_lines(orthogonal_through_point(sK2,sK1),orthogonal_through_point(sK2,sK1))
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),X1_180),orthogonal_through_point(sK2,sK1))
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),X1_180),orthogonal_through_point(sK2,sK1)) ),
inference(instantiation,[status(thm)],[31]) ).
cnf(l181,plain,
~ unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),X1_180),orthogonal_through_point(sK2,sK1)),
inference(instantiation,[status(thm)],[23]) ).
cnf(l180,plain,
~ unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK2,sK1),X1_180),orthogonal_through_point(sK2,sK1)),
inference(instantiation,[status(thm)],[23]) ).
cnf(l199,plain,
( 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),sK1),orthogonal_through_point(sK2,sK1)) ),
inference(instantiation,[status(thm)],[21]) ).
fof(coipo1,plain,
! [L,M] :
~ ( ~ convergent_lines(L,M)
& ~ unorthogonal_lines(L,M) ),
file('Axioms/GEO006+4.ax',coipo1) ).
cnf(26,plain,
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(cnf,[status(esa)],[coipo1]) ).
cnf(l16,plain,
( convergent_lines(orthogonal_through_point(sK2,sK1),sK2)
| unorthogonal_lines(orthogonal_through_point(sK2,sK1),sK2) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(l18,plain,
~ unorthogonal_lines(orthogonal_through_point(sK2,sK1),sK2),
inference(instantiation,[status(thm)],[23]) ).
cnf(l200,plain,
~ unorthogonal_lines(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,l4,l3,l8,l13,l5,l45,l71,l14,l6,l11,l114,l54,l178,l212,l179,l181,l180,l199,l16,l18,l200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO222+3 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.13 % 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 11:45:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 5
% 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
% 0.13/0.38 % launching worker at depth: 12
% 4.03/0.88 % launching worker at depth: 13
% 55.51/7.33 % SZS status Theorem for theBenchmark
% 55.51/7.33 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------