%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO263+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% 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 : 600s
% DateTime : Sat Jul 16 06:24:03 EDT 2022
% Result : Theorem 0.22s 0.50s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 34 ( 14 unt; 10 nHn; 34 RR)
% Number of literals : 57 ( 0 equ; 20 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
convergent_lines(skc11,skc6),
file('GEO263+3.p',unknown),
[] ).
cnf(2,axiom,
convergent_lines(skc11,skc7),
file('GEO263+3.p',unknown),
[] ).
cnf(3,axiom,
convergent_lines(skc6,skc7),
file('GEO263+3.p',unknown),
[] ).
cnf(4,axiom,
equally_directed_lines(u,u),
file('GEO263+3.p',unknown),
[] ).
cnf(8,axiom,
~ left_convergent_lines(u,v),
file('GEO263+3.p',unknown),
[] ).
cnf(18,axiom,
( ~ convergent_lines(u,v)
| unequally_directed_lines(u,v) ),
file('GEO263+3.p',unknown),
[] ).
cnf(21,axiom,
( unequally_directed_lines(u,v)
| unequally_directed_lines(u,reverse_line(v)) ),
file('GEO263+3.p',unknown),
[] ).
cnf(22,axiom,
( ~ unequally_directed_opposite_lines(u,v)
| unequally_directed_lines(u,reverse_line(v)) ),
file('GEO263+3.p',unknown),
[] ).
cnf(23,axiom,
( ~ unequally_directed_lines(u,reverse_line(v))
| unequally_directed_opposite_lines(u,v) ),
file('GEO263+3.p',unknown),
[] ).
cnf(28,axiom,
( ~ unequally_directed_lines(u,v)
| ~ equally_directed_lines(u,v) ),
file('GEO263+3.p',unknown),
[] ).
cnf(38,axiom,
( ~ unequally_directed_lines(u,v)
| unequally_directed_lines(v,w)
| unequally_directed_lines(u,w) ),
file('GEO263+3.p',unknown),
[] ).
cnf(64,axiom,
( ~ unequally_directed_lines(u,v)
| ~ unequally_directed_lines(u,reverse_line(v))
| left_convergent_lines(u,v)
| left_convergent_lines(u,reverse_line(v)) ),
file('GEO263+3.p',unknown),
[] ).
cnf(74,plain,
( ~ unequally_directed_lines(u,v)
| ~ unequally_directed_lines(u,reverse_line(v)) ),
inference(mrr,[status(thm)],[64,8]),
[iquote('0:MRR:64.2,64.3,8.0,8.0')] ).
cnf(76,plain,
unequally_directed_lines(skc6,skc7),
inference(res,[status(thm),theory(equality)],[3,18]),
[iquote('0:Res:3.0,18.0')] ).
cnf(78,plain,
unequally_directed_lines(skc11,skc7),
inference(res,[status(thm),theory(equality)],[2,18]),
[iquote('0:Res:2.0,18.0')] ).
cnf(80,plain,
unequally_directed_lines(skc11,skc6),
inference(res,[status(thm),theory(equality)],[1,18]),
[iquote('0:Res:1.0,18.0')] ).
cnf(102,plain,
~ unequally_directed_lines(u,u),
inference(res,[status(thm),theory(equality)],[4,28]),
[iquote('0:Res:4.0,28.1')] ).
cnf(108,plain,
unequally_directed_lines(reverse_line(u),u),
inference(res,[status(thm),theory(equality)],[21,102]),
[iquote('0:Res:21.1,102.0')] ).
cnf(171,plain,
( unequally_directed_lines(skc6,u)
| unequally_directed_lines(skc11,u) ),
inference(res,[status(thm),theory(equality)],[80,38]),
[iquote('0:Res:80.0,38.0')] ).
cnf(172,plain,
( unequally_directed_lines(skc7,u)
| unequally_directed_lines(skc11,u) ),
inference(res,[status(thm),theory(equality)],[78,38]),
[iquote('0:Res:78.0,38.0')] ).
cnf(173,plain,
( unequally_directed_lines(skc7,u)
| unequally_directed_lines(skc6,u) ),
inference(res,[status(thm),theory(equality)],[76,38]),
[iquote('0:Res:76.0,38.0')] ).
cnf(178,plain,
( unequally_directed_lines(u,v)
| unequally_directed_lines(reverse_line(u),v) ),
inference(res,[status(thm),theory(equality)],[108,38]),
[iquote('0:Res:108.0,38.0')] ).
cnf(182,plain,
( ~ unequally_directed_lines(skc6,u)
| unequally_directed_lines(skc11,reverse_line(u)) ),
inference(res,[status(thm),theory(equality)],[171,74]),
[iquote('0:Res:171.0,74.1')] ).
cnf(183,plain,
( unequally_directed_lines(skc11,reverse_line(u))
| unequally_directed_opposite_lines(skc6,u) ),
inference(res,[status(thm),theory(equality)],[171,23]),
[iquote('0:Res:171.0,23.0')] ).
cnf(191,plain,
( unequally_directed_lines(skc7,reverse_line(u))
| unequally_directed_opposite_lines(skc6,u) ),
inference(res,[status(thm),theory(equality)],[173,23]),
[iquote('0:Res:173.1,23.0')] ).
cnf(196,plain,
( ~ unequally_directed_lines(skc11,u)
| unequally_directed_opposite_lines(skc6,u) ),
inference(res,[status(thm),theory(equality)],[183,74]),
[iquote('0:Res:183.0,74.1')] ).
cnf(204,plain,
( ~ unequally_directed_lines(skc7,u)
| unequally_directed_opposite_lines(skc6,u) ),
inference(res,[status(thm),theory(equality)],[191,74]),
[iquote('0:Res:191.0,74.1')] ).
cnf(232,plain,
( unequally_directed_lines(skc11,u)
| unequally_directed_opposite_lines(skc6,u) ),
inference(res,[status(thm),theory(equality)],[172,204]),
[iquote('0:Res:172.0,204.0')] ).
cnf(235,plain,
unequally_directed_opposite_lines(skc6,u),
inference(mrr,[status(thm)],[232,196]),
[iquote('0:MRR:232.0,196.0')] ).
cnf(243,plain,
unequally_directed_lines(u,reverse_line(u)),
inference(res,[status(thm),theory(equality)],[178,102]),
[iquote('0:Res:178.1,102.0')] ).
cnf(256,plain,
( ~ unequally_directed_lines(skc6,u)
| ~ unequally_directed_lines(skc11,u) ),
inference(res,[status(thm),theory(equality)],[182,74]),
[iquote('0:Res:182.1,74.1')] ).
cnf(312,plain,
( ~ unequally_directed_opposite_lines(skc6,u)
| ~ unequally_directed_lines(skc11,reverse_line(u)) ),
inference(res,[status(thm),theory(equality)],[22,256]),
[iquote('0:Res:22.1,256.0')] ).
cnf(320,plain,
~ unequally_directed_lines(skc11,reverse_line(u)),
inference(mrr,[status(thm)],[312,235]),
[iquote('0:MRR:312.0,235.0')] ).
cnf(321,plain,
$false,
inference(unc,[status(thm)],[320,243]),
[iquote('0:UnC:320.0,243.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : GEO263+3 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.15 % Command : run_spass %d %s
% 0.15/0.37 % Computer : n028.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Sat Jun 18 00:48:13 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.22/0.50
% 0.22/0.50 SPASS V 3.9
% 0.22/0.50 SPASS beiseite: Proof found.
% 0.22/0.50 % SZS status Theorem
% 0.22/0.50 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.50 SPASS derived 232 clauses, backtracked 0 clauses, performed 2 splits and kept 219 clauses.
% 0.22/0.50 SPASS allocated 97829 KBytes.
% 0.22/0.50 SPASS spent 0:00:00.11 on the problem.
% 0.22/0.50 0:00:00.04 for the input.
% 0.22/0.50 0:00:00.03 for the FLOTTER CNF translation.
% 0.22/0.50 0:00:00.00 for inferences.
% 0.22/0.50 0:00:00.00 for the backtracking.
% 0.22/0.50 0:00:00.01 for the reduction.
% 0.22/0.50
% 0.22/0.50
% 0.22/0.50 Here is a proof with depth 5, length 34 :
% 0.22/0.50 % SZS output start Refutation
% See solution above
% 0.22/0.50 Formulae used in the proof : con ax5_basics ax11_basics a7_defns ax8_basics a1_defns a4_defns ax6_basics ax9_basics
% 0.22/0.50
%------------------------------------------------------------------------------