%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO217+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 : n020.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 01:38:36 PM UTC 2025
% Result : Theorem 12.21s 1.92s
% Output : CNFRefutation 12.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 14 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 26 ~; 18 |; 3 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 3 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [L,M,N] :
( ( parallel_lines(L,M)
& parallel_lines(L,N) )
=> parallel_lines(M,N) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [L,M,N] :
( ( parallel_lines(L,M)
& parallel_lines(L,N) )
=> parallel_lines(M,N) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(48,plain,
~ parallel_lines(sK2,sK3),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
~ parallel_lines(sK2,sK3),
inference(instantiation,[status(thm)],[48]) ).
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,sK3)
| parallel_lines(sK2,sK3) ),
inference(instantiation,[status(thm)],[41]) ).
fof(ax6,plain,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('Axioms/GEO006+0.ax',ax6) ).
cnf(5,plain,
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf,[status(esa)],[ax6]) ).
cnf(l2,plain,
( ~ convergent_lines(sK2,sK3)
| convergent_lines(sK2,sK1)
| convergent_lines(sK3,sK1) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l54,plain,
( ~ convergent_lines(sK3,sK1)
| convergent_lines(sK3,sK3)
| convergent_lines(sK1,sK3) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(40,plain,
( ~ convergent_lines(X0,X1)
| ~ parallel_lines(X0,X1) ),
inference(cnf,[status(esa)],[a3]) ).
cnf(l56,plain,
( ~ convergent_lines(sK1,sK3)
| ~ parallel_lines(sK1,sK3) ),
inference(instantiation,[status(thm)],[40]) ).
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(l55,plain,
( ~ convergent_lines(sK3,sK3)
| unorthogonal_lines(orthogonal_through_point(sK3,X1_57),sK3)
| unorthogonal_lines(orthogonal_through_point(sK3,X1_57),sK3) ),
inference(instantiation,[status(thm)],[31]) ).
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(l59,plain,
~ unorthogonal_lines(orthogonal_through_point(sK3,X1_57),sK3),
inference(instantiation,[status(thm)],[23]) ).
cnf(l57,plain,
~ unorthogonal_lines(orthogonal_through_point(sK3,X1_57),sK3),
inference(instantiation,[status(thm)],[23]) ).
cnf(l3,plain,
( ~ convergent_lines(sK2,sK1)
| convergent_lines(sK2,sK2)
| convergent_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l10,plain,
( ~ convergent_lines(sK1,sK2)
| ~ parallel_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(47,plain,
parallel_lines(sK1,sK3),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l60,plain,
parallel_lines(sK1,sK3),
inference(instantiation,[status(thm)],[47]) ).
cnf(46,plain,
parallel_lines(sK1,sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l11,plain,
parallel_lines(sK1,sK2),
inference(instantiation,[status(thm)],[46]) ).
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(l4,plain,
~ convergent_lines(sK2,sK2),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l54,l56,l55,l59,l57,l3,l10,l60,l11,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.11 % Problem : GEO217+3 : TPTP v9.0.0. Released v4.0.0.
% 0.12/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 11:44:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 11
% 0.12/0.40 % launching worker at depth: 12
% 12.21/1.92 % SZS status Theorem for theBenchmark
% 12.21/1.92 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------