%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO234+1 : TPTP v9.0.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 01:38:41 PM UTC 2025
% Result : Theorem 3.09s 0.75s
% Output : CNFRefutation 3.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 16 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 55 ( 26 ~; 24 |; 1 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 24 ( 4 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [L,M,N] :
( unequally_directed_lines(L,reverse_line(M))
=> ( unequally_directed_lines(L,N)
| unequally_directed_lines(M,reverse_line(N)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [L,M,N] :
( unequally_directed_lines(L,reverse_line(M))
=> ( unequally_directed_lines(L,N)
| unequally_directed_lines(M,reverse_line(N)) ) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(58,plain,
unequally_directed_lines(sK1,reverse_line(sK2)),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
unequally_directed_lines(sK1,reverse_line(sK2)),
inference(instantiation,[status(thm)],[58]) ).
fof(oag6,plain,
! [L,M,N] :
( unequally_directed_lines(L,M)
=> ( unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ) ),
file('Axioms/GEO007+0.ax',oag6) ).
cnf(30,plain,
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ),
inference(cnf,[status(esa)],[oag6]) ).
cnf(l1,plain,
( ~ unequally_directed_lines(sK1,reverse_line(sK2))
| unequally_directed_lines(sK1,reverse_line(sK3))
| unequally_directed_lines(reverse_line(sK2),reverse_line(sK3)) ),
inference(instantiation,[status(thm)],[30]) ).
fof(oag9,plain,
! [L,M] :
( ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) )
=> ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ) ),
file('Axioms/GEO007+0.ax',oag9) ).
cnf(36,plain,
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ),
inference(cnf,[status(esa)],[oag9]) ).
cnf(l2,plain,
( ~ unequally_directed_lines(reverse_line(sK2),sK3)
| ~ unequally_directed_lines(reverse_line(sK2),reverse_line(sK3))
| left_convergent_lines(reverse_line(sK2),sK3)
| left_convergent_lines(reverse_line(sK2),reverse_line(sK3)) ),
inference(instantiation,[status(thm)],[36]) ).
fof(oag11,plain,
! [L,M] :
~ ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
file('Axioms/GEO007+0.ax',oag11) ).
cnf(40,plain,
~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf,[status(esa)],[oag11]) ).
cnf(l100,plain,
~ left_convergent_lines(reverse_line(sK2),reverse_line(sK3)),
inference(instantiation,[status(thm)],[40]) ).
cnf(39,plain,
~ left_convergent_lines(X0,X1),
inference(cnf,[status(esa)],[oag11]) ).
cnf(l29,plain,
~ left_convergent_lines(reverse_line(sK2),sK3),
inference(instantiation,[status(thm)],[39]) ).
cnf(l31,plain,
( ~ unequally_directed_lines(sK1,reverse_line(sK2))
| unequally_directed_lines(sK1,sK3)
| unequally_directed_lines(reverse_line(sK2),sK3) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(59,plain,
~ unequally_directed_lines(sK1,sK3),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l35,plain,
~ unequally_directed_lines(sK1,sK3),
inference(instantiation,[status(thm)],[59]) ).
cnf(l113,plain,
( ~ unequally_directed_lines(sK1,reverse_line(sK3))
| unequally_directed_lines(sK1,sK2)
| unequally_directed_lines(reverse_line(sK3),sK2) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l129,plain,
( ~ unequally_directed_lines(reverse_line(sK3),sK2)
| unequally_directed_lines(reverse_line(sK3),reverse_line(sK3))
| unequally_directed_lines(sK2,reverse_line(sK3)) ),
inference(instantiation,[status(thm)],[30]) ).
fof(oag5,plain,
! [L] : ~ unequally_directed_lines(L,L),
file('Axioms/GEO007+0.ax',oag5) ).
cnf(29,plain,
~ unequally_directed_lines(X0,X0),
inference(cnf,[status(esa)],[oag5]) ).
cnf(l130,plain,
~ unequally_directed_lines(reverse_line(sK3),reverse_line(sK3)),
inference(instantiation,[status(thm)],[29]) ).
cnf(60,plain,
~ unequally_directed_lines(sK2,reverse_line(sK3)),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l131,plain,
~ unequally_directed_lines(sK2,reverse_line(sK3)),
inference(instantiation,[status(thm)],[60]) ).
cnf(l119,plain,
( ~ unequally_directed_lines(sK1,sK2)
| ~ unequally_directed_lines(sK1,reverse_line(sK2))
| left_convergent_lines(sK1,sK2)
| left_convergent_lines(sK1,reverse_line(sK2)) ),
inference(instantiation,[status(thm)],[36]) ).
cnf(l120,plain,
~ left_convergent_lines(sK1,reverse_line(sK2)),
inference(instantiation,[status(thm)],[40]) ).
cnf(l121,plain,
~ left_convergent_lines(sK1,sK2),
inference(instantiation,[status(thm)],[39]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l100,l29,l31,l35,l113,l129,l130,l131,l119,l120,l121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO234+1 : TPTP v9.0.0. Bugfixed v6.4.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.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 11:47:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 4
% 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: 6
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.40 % launching worker at depth: 11
% 3.09/0.75 % SZS status Theorem for theBenchmark
% 3.09/0.75 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------