%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO219+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 01:38:37 PM UTC 2025
% Result : Theorem 4.51s 0.92s
% Output : CNFRefutation 4.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 8 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 67 ( 32 ~; 25 |; 4 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 34 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [L,M,N] :
( ( orthogonal_lines(L,M)
& parallel_lines(L,N) )
=> orthogonal_lines(M,N) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [L,M,N] :
( ( orthogonal_lines(L,M)
& parallel_lines(L,N) )
=> orthogonal_lines(M,N) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(46,plain,
orthogonal_lines(sK1,sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
orthogonal_lines(sK1,sK2),
inference(instantiation,[status(thm)],[46]) ).
fof(a5,plain,
! [X,Y] :
( orthogonal_lines(X,Y)
<=> ~ unorthogonal_lines(X,Y) ),
file('Axioms/GEO006+6.ax',a5) ).
cnf(44,plain,
( ~ unorthogonal_lines(X0,X1)
| ~ orthogonal_lines(X0,X1) ),
inference(cnf,[status(esa)],[a5]) ).
cnf(l1,plain,
( ~ unorthogonal_lines(sK1,sK2)
| ~ orthogonal_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[44]) ).
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,sK3)
| ~ unorthogonal_lines(sK2,sK3)
| sP1(sK1,sK3)
| unorthogonal_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(30,plain,
( convergent_lines(X0,X1)
| ~ sP1(X0,X1) ),
inference(cnf,[status(esa)],[cotno1]) ).
cnf(l57,plain,
( convergent_lines(sK1,sK3)
| ~ sP1(sK1,sK3) ),
inference(instantiation,[status(thm)],[30]) ).
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(l3,plain,
( ~ convergent_lines(sK1,sK2)
| convergent_lines(sK1,sK3)
| convergent_lines(sK2,sK3) ),
inference(instantiation,[status(thm)],[5]) ).
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(l27,plain,
( convergent_lines(sK1,sK2)
| unorthogonal_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[26]) ).
fof(a3,plain,
! [X,Y] :
( parallel_lines(X,Y)
<=> ~ convergent_lines(X,Y) ),
file('Axioms/GEO006+6.ax',a3) ).
cnf(40,plain,
( ~ convergent_lines(X0,X1)
| ~ parallel_lines(X0,X1) ),
inference(cnf,[status(esa)],[a3]) ).
cnf(l4,plain,
( ~ convergent_lines(sK1,sK3)
| ~ parallel_lines(sK1,sK3) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(47,plain,
parallel_lines(sK1,sK3),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l13,plain,
parallel_lines(sK1,sK3),
inference(instantiation,[status(thm)],[47]) ).
cnf(l58,plain,
( ~ convergent_lines(sK1,sK3)
| ~ parallel_lines(sK1,sK3) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(l61,plain,
parallel_lines(sK1,sK3),
inference(instantiation,[status(thm)],[47]) ).
cnf(45,plain,
( unorthogonal_lines(X0,X1)
| orthogonal_lines(X0,X1) ),
inference(cnf,[status(esa)],[a5]) ).
cnf(l16,plain,
( unorthogonal_lines(sK2,sK3)
| orthogonal_lines(sK2,sK3) ),
inference(instantiation,[status(thm)],[45]) ).
cnf(48,plain,
~ orthogonal_lines(sK2,sK3),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l37,plain,
~ orthogonal_lines(sK2,sK3),
inference(instantiation,[status(thm)],[48]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l57,l3,l27,l4,l13,l58,l61,l16,l37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO219+3 : TPTP v9.0.0. Released v4.0.0.
% 0.08/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Jul 20 11:44:19 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.12/0.35 % launching worker at depth: 11
% 0.12/0.40 % launching worker at depth: 12
% 4.51/0.92 % SZS status Theorem for theBenchmark
% 4.51/0.92 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------