%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO214+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 06:23:31 EDT 2022
% Result : Theorem 0.17s 0.38s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 8 unt; 6 nHn; 19 RR)
% Number of literals : 35 ( 0 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
unorthogonal_lines(skc2,skc3),
file('GEO214+1.p',unknown),
[] ).
cnf(2,axiom,
~ unorthogonal_lines(skc3,skc2),
file('GEO214+1.p',unknown),
[] ).
cnf(5,axiom,
~ convergent_lines(u,u),
file('GEO214+1.p',unknown),
[] ).
cnf(8,axiom,
( unorthogonal_lines(u,v)
| convergent_lines(u,v) ),
file('GEO214+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ skP0(u,v)
| convergent_lines(v,u) ),
file('GEO214+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ skP0(u,v)
| unorthogonal_lines(v,u) ),
file('GEO214+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ convergent_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(u,w) ),
file('GEO214+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ skP0(u,v)
| skP0(w,u)
| skP0(w,v) ),
file('GEO214+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ unorthogonal_lines(u,v)
| ~ convergent_lines(u,v)
| skP0(v,u) ),
file('GEO214+1.p',unknown),
[] ).
cnf(28,plain,
( ~ convergent_lines(skc2,skc3)
| skP0(skc3,skc2) ),
inference(res,[status(thm),theory(equality)],[1,24]),
[iquote('0:Res:1.0,24.1')] ).
cnf(29,plain,
~ skP0(skc2,skc3),
inference(res,[status(thm),theory(equality)],[12,2]),
[iquote('0:Res:12.1,2.0')] ).
cnf(30,plain,
convergent_lines(skc3,skc2),
inference(res,[status(thm),theory(equality)],[8,2]),
[iquote('0:Res:8.1,2.0')] ).
cnf(41,plain,
( ~ convergent_lines(skc2,skc3)
| skP0(u,skc3)
| skP0(u,skc2) ),
inference(res,[status(thm),theory(equality)],[28,23]),
[iquote('0:Res:28.1,23.0')] ).
cnf(43,plain,
( ~ convergent_lines(skc2,skc3)
| skP0(u,skc3)
| convergent_lines(skc2,u) ),
inference(res,[status(thm),theory(equality)],[41,11]),
[iquote('0:Res:41.2,11.0')] ).
cnf(45,plain,
( ~ convergent_lines(skc2,skc3)
| convergent_lines(skc2,skc2) ),
inference(res,[status(thm),theory(equality)],[43,29]),
[iquote('0:Res:43.1,29.0')] ).
cnf(49,plain,
~ convergent_lines(skc2,skc3),
inference(mrr,[status(thm)],[45,5]),
[iquote('0:MRR:45.1,5.0')] ).
cnf(53,plain,
( convergent_lines(skc2,u)
| convergent_lines(skc3,u) ),
inference(res,[status(thm),theory(equality)],[30,15]),
[iquote('0:Res:30.0,15.0')] ).
cnf(62,plain,
convergent_lines(skc3,skc3),
inference(res,[status(thm),theory(equality)],[53,49]),
[iquote('0:Res:53.0,49.0')] ).
cnf(63,plain,
$false,
inference(mrr,[status(thm)],[62,5]),
[iquote('0:MRR:62.0,5.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GEO214+1 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.11 % Command : run_spass %d %s
% 0.11/0.31 % Computer : n029.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Fri Jun 17 22:01:13 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.17/0.38
% 0.17/0.38 SPASS V 3.9
% 0.17/0.38 SPASS beiseite: Proof found.
% 0.17/0.38 % SZS status Theorem
% 0.17/0.38 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.38 SPASS derived 32 clauses, backtracked 0 clauses, performed 0 splits and kept 50 clauses.
% 0.17/0.38 SPASS allocated 85188 KBytes.
% 0.17/0.38 SPASS spent 0:00:00.06 on the problem.
% 0.17/0.38 0:00:00.02 for the input.
% 0.17/0.38 0:00:00.02 for the FLOTTER CNF translation.
% 0.17/0.38 0:00:00.00 for inferences.
% 0.17/0.38 0:00:00.00 for the backtracking.
% 0.17/0.38 0:00:00.00 for the reduction.
% 0.17/0.38
% 0.17/0.38
% 0.17/0.38 Here is a proof with depth 5, length 19 :
% 0.17/0.38 % SZS output start Refutation
% See solution above
% 0.17/0.38 Formulae used in the proof : con apart3 occu1 oac1 ax6
% 0.17/0.38
%------------------------------------------------------------------------------