%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO218+2 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 01:38:36 PM UTC 2025
% Result : Theorem 0.21s 0.50s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 40 ( 10 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 110 ( 52 ~; 48 |; 5 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 35 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [L,M,N] :
( ( ~ convergent_lines(L,M)
& ~ unorthogonal_lines(L,N) )
=> ~ unorthogonal_lines(M,N) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [L,M,N] :
( ( ~ convergent_lines(L,M)
& ~ unorthogonal_lines(L,N) )
=> ~ unorthogonal_lines(M,N) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(20,plain,
~ convergent_lines(sK1,sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
~ convergent_lines(sK1,sK2),
inference(instantiation,[status(thm)],[20]) ).
fof(apart6,plain,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('Axioms/GEO008+0.ax',apart6) ).
cnf(5,plain,
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf,[status(esa)],[apart6]) ).
cnf(l1,plain,
( ~ convergent_lines(sK3,sK1)
| convergent_lines(sK3,sK2)
| convergent_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[5]) ).
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(15,plain,
( ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1)
| sP0(X2,X1)
| convergent_lines(X2,X0) ),
inference(cnf,[status(esa)],[cotno1]) ).
cnf(l2,plain,
( ~ convergent_lines(sK1,sK1)
| ~ unorthogonal_lines(sK1,sK1)
| sP0(sK3,sK1)
| convergent_lines(sK3,sK1) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l3,plain,
( ~ convergent_lines(sK1,sK3)
| ~ unorthogonal_lines(sK1,sK3)
| sP0(sK1,sK3)
| convergent_lines(sK1,sK1) ),
inference(instantiation,[status(thm)],[15]) ).
fof(coipo1,plain,
! [L,M] :
~ ( ~ convergent_lines(L,M)
& ~ unorthogonal_lines(L,M) ),
file('Axioms/GEO006+4.ax',coipo1) ).
cnf(14,plain,
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(cnf,[status(esa)],[coipo1]) ).
cnf(l5,plain,
( convergent_lines(sK1,sK3)
| unorthogonal_lines(sK1,sK3) ),
inference(instantiation,[status(thm)],[14]) ).
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(19,plain,
( ~ convergent_lines(X0,X1)
| unorthogonal_lines(X2,X0)
| unorthogonal_lines(X2,X1) ),
inference(cnf,[status(esa)],[couo1]) ).
cnf(l6,plain,
( ~ convergent_lines(sK1,sK1)
| unorthogonal_lines(sK1,sK1)
| unorthogonal_lines(sK1,sK1) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l22,plain,
( ~ convergent_lines(sK3,sK2)
| convergent_lines(sK3,sK3)
| convergent_lines(sK2,sK3) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(21,plain,
~ unorthogonal_lines(sK1,sK3),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l17,plain,
~ unorthogonal_lines(sK1,sK3),
inference(instantiation,[status(thm)],[21]) ).
cnf(l7,plain,
( convergent_lines(sK1,sK3)
| unorthogonal_lines(sK1,sK3) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(18,plain,
( convergent_lines(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf,[status(esa)],[cotno1]) ).
cnf(l12,plain,
( convergent_lines(sK3,sK1)
| ~ sP0(sK3,sK1) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l24,plain,
( ~ convergent_lines(sK1,sK3)
| convergent_lines(sK1,sK1)
| convergent_lines(sK3,sK1) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l4,plain,
( convergent_lines(sK1,sK3)
| ~ sP0(sK1,sK3) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(16,plain,
( ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1)
| sP0(X2,X1)
| unorthogonal_lines(X2,X0) ),
inference(cnf,[status(esa)],[cotno1]) ).
cnf(l23,plain,
( ~ convergent_lines(sK3,sK3)
| ~ unorthogonal_lines(sK3,sK3)
| sP0(sK1,sK3)
| unorthogonal_lines(sK1,sK3) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l51,plain,
~ unorthogonal_lines(sK1,sK3),
inference(instantiation,[status(thm)],[21]) ).
cnf(l27,plain,
( ~ convergent_lines(sK3,sK3)
| unorthogonal_lines(sK3,sK3)
| unorthogonal_lines(sK3,sK3) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l26,plain,
( ~ convergent_lines(sK2,sK3)
| ~ unorthogonal_lines(sK2,sK3)
| sP0(sK1,sK3)
| convergent_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l8,plain,
( ~ convergent_lines(sK1,sK3)
| convergent_lines(sK1,sK1)
| convergent_lines(sK3,sK1) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(22,plain,
unorthogonal_lines(sK2,sK3),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l28,plain,
unorthogonal_lines(sK2,sK3),
inference(instantiation,[status(thm)],[22]) ).
cnf(17,plain,
( unorthogonal_lines(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf,[status(esa)],[cotno1]) ).
cnf(l40,plain,
( unorthogonal_lines(sK1,sK3)
| ~ sP0(sK1,sK3) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l10,plain,
( convergent_lines(sK1,sK1)
| unorthogonal_lines(sK1,sK1) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l30,plain,
( unorthogonal_lines(sK1,sK3)
| ~ sP0(sK1,sK3) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l63,plain,
~ unorthogonal_lines(sK1,sK3),
inference(instantiation,[status(thm)],[21]) ).
cnf(l59,plain,
~ unorthogonal_lines(sK1,sK3),
inference(instantiation,[status(thm)],[21]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l5,l6,l22,l17,l7,l12,l24,l4,l23,l51,l27,l26,l8,l28,l40,l10,l30,l63,l59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO218+2 : TPTP v9.0.0. Released v3.3.0.
% 0.08/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 11:44:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 7
% 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: 4
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.36 % launching worker at depth: 11
% 0.21/0.49 % launching worker at depth: 12
% 0.21/0.50 % SZS status Theorem for theBenchmark
% 0.21/0.50 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------