%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO227+1 : TPTP v9.0.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.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 01:38:39 PM UTC 2025
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 30 ( 15 ~; 7 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [L,M] :
( ( line(L)
& line(M) )
=> ~ ( ~ unequally_directed_lines(L,M)
& ~ unequally_directed_lines(L,reverse_line(M)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [L,M] :
( ( line(L)
& line(M) )
=> ~ ( ~ unequally_directed_lines(L,M)
& ~ unequally_directed_lines(L,reverse_line(M)) ) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(58,plain,
line(sK1),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
line(sK1),
inference(instantiation,[status(thm)],[58]) ).
fof(oag8,plain,
! [L,M] :
( ( line(L)
& line(M) )
=> ( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ) ),
file('Axioms/GEO007+0.ax',oag8) ).
cnf(35,plain,
( ~ line(X0)
| ~ line(X1)
| unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf,[status(esa)],[oag8]) ).
cnf(l1,plain,
( ~ line(sK1)
| ~ line(sK2)
| unequally_directed_lines(sK1,sK2)
| unequally_directed_lines(sK1,reverse_line(sK2)) ),
inference(instantiation,[status(thm)],[35]) ).
cnf(61,plain,
~ unequally_directed_lines(sK1,reverse_line(sK2)),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l3,plain,
~ unequally_directed_lines(sK1,reverse_line(sK2)),
inference(instantiation,[status(thm)],[61]) ).
cnf(60,plain,
~ unequally_directed_lines(sK1,sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l2,plain,
~ unequally_directed_lines(sK1,sK2),
inference(instantiation,[status(thm)],[60]) ).
cnf(59,plain,
line(sK2),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l4,plain,
line(sK2),
inference(instantiation,[status(thm)],[59]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO227+1 : TPTP v9.0.0. Bugfixed v6.4.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n028.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 11:46:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 1
% 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: 9
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------