%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GEO227+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 08:40:01 AM UTC 2026
% Result : Theorem 0.39s 0.67s
% Output : Proof 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 24 ( 12 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 65 ( 29 ~; 13 |; 20 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 17 ( 0 sgn 10 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(oag8,axiom,
! [L,M] :
( ( line(M)
& line(L) )
=> ( unequally_directed_lines(L,reverse_line(M))
| unequally_directed_lines(L,M) ) ),
file('GEO007+0.ax',oag8) ).
fof(con,conjecture,
! [L,M] :
( ( line(M)
& line(L) )
=> ~ ( ~ unequally_directed_lines(L,reverse_line(M))
& ~ unequally_directed_lines(L,M) ) ),
file('theBenchmark.p',con) ).
fof(f_13_1,plain,
! [L,M] :
( unequally_directed_lines(L,reverse_line(M))
| unequally_directed_lines(L,M)
| ~ line(M)
| ~ line(L) ),
inference(fof_nnf,[status(thm)],[oag8]) ).
fof(f_13_2,plain,
! [U_58,U_57] :
( unequally_directed_lines(U_58,reverse_line(U_57))
| unequally_directed_lines(U_58,U_57)
| ~ line(U_57)
| ~ line(U_58) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
cnf(f_13_3,plain,
( unequally_directed_lines(U_58,reverse_line(U_57))
| unequally_directed_lines(U_58,U_57)
| ~ line(U_57)
| ~ line(U_58) ),
inference(clausify,[status(thm)],[f_13_2]) ).
fof(f_32_1,negated_conjecture,
~ ! [L,M] :
( ( line(M)
& line(L) )
=> ~ ( ~ unequally_directed_lines(L,reverse_line(M))
& ~ unequally_directed_lines(L,M) ) ),
inference(negate,[status(cth)],[con]) ).
fof(f_32_2,negated_conjecture,
? [L,M] :
( ~ unequally_directed_lines(L,reverse_line(M))
& ~ unequally_directed_lines(L,M)
& line(M)
& line(L) ),
inference(fof_nnf,[status(thm)],[f_32_1]) ).
fof(f_32_3,negated_conjecture,
? [U_108,U_107] :
( ~ unequally_directed_lines(U_108,reverse_line(U_107))
& ~ unequally_directed_lines(U_108,U_107)
& line(U_107)
& line(U_108) ),
inference(variable_rename,[status(thm)],[f_32_2]) ).
fof(f_32_4,negated_conjecture,
? [U_107] :
( ~ unequally_directed_lines(sK1,reverse_line(U_107))
& ~ unequally_directed_lines(sK1,U_107)
& line(U_107)
& line(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_108,sK1)],[f_32_3]) ).
fof(f_32_5,negated_conjecture,
( ~ unequally_directed_lines(sK1,reverse_line(sK2))
& ~ unequally_directed_lines(sK1,sK2)
& line(sK2)
& line(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_107,sK2)],[f_32_4]) ).
fof(f_32_6,negated_conjecture,
( ~ unequally_directed_lines(sK1,reverse_line(sK2))
& ~ unequally_directed_lines(sK1,sK2)
& line(sK2)
& line(sK1) ),
inference(definitional_conversion,[status(esa)],[f_32_5]) ).
cnf(f_32_7,negated_conjecture,
line(sK1),
inference(clausify,[status(thm)],[f_32_6]) ).
cnf(f_32_8,negated_conjecture,
line(sK2),
inference(clausify,[status(thm)],[f_32_6]) ).
cnf(f_32_9,negated_conjecture,
~ unequally_directed_lines(sK1,sK2),
inference(clausify,[status(thm)],[f_32_6]) ).
cnf(f_32_10,negated_conjecture,
~ unequally_directed_lines(sK1,reverse_line(sK2)),
inference(clausify,[status(thm)],[f_32_6]) ).
cnf(t1,plain,
~ unequally_directed_lines(sK1,sK2),
inference(start,[status(thm),parent(0:0)],[f_32_9]) ).
cnf(t2,plain,
( ~ line(sK2)
| unequally_directed_lines(sK1,reverse_line(sK2))
| ~ line(sK1)
| unequally_directed_lines(sK1,sK2) ),
inference(extension,[status(thm),parent(t1:1)],[f_13_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
line(sK1),
inference(extension,[status(thm),parent(t2:2)],[f_32_7]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
~ unequally_directed_lines(sK1,reverse_line(sK2)),
inference(extension,[status(thm),parent(t2:3)],[f_32_10]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
line(sK2),
inference(extension,[status(thm),parent(t2:4)],[f_32_8]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO227+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 19 07:43:27 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.39/0.67 % SZS status Theorem for theBenchmark
% 0.39/0.67 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------