TSTP Solution File: GEO217+3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO217+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 06:23:34 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 29 ( 15 unt; 9 nHn; 29 RR)
% Number of literals : 46 ( 0 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
parallel_lines(skc5,skc3),
file('GEO217+3.p',unknown),
[] ).
cnf(2,axiom,
parallel_lines(skc5,skc4),
file('GEO217+3.p',unknown),
[] ).
cnf(3,axiom,
~ parallel_lines(skc3,skc4),
file('GEO217+3.p',unknown),
[] ).
cnf(5,axiom,
~ distinct_lines(u,u),
file('GEO217+3.p',unknown),
[] ).
cnf(6,axiom,
~ convergent_lines(u,u),
file('GEO217+3.p',unknown),
[] ).
cnf(16,axiom,
( equal_lines(u,v)
| distinct_lines(u,v) ),
file('GEO217+3.p',unknown),
[] ).
cnf(17,axiom,
( parallel_lines(u,v)
| convergent_lines(u,v) ),
file('GEO217+3.p',unknown),
[] ).
cnf(20,axiom,
( ~ distinct_lines(u,v)
| convergent_lines(u,v) ),
file('GEO217+3.p',unknown),
[] ).
cnf(24,axiom,
( ~ distinct_lines(u,v)
| ~ equal_lines(u,v) ),
file('GEO217+3.p',unknown),
[] ).
cnf(25,axiom,
( ~ convergent_lines(u,v)
| ~ parallel_lines(u,v) ),
file('GEO217+3.p',unknown),
[] ).
cnf(29,axiom,
( ~ distinct_lines(u,v)
| distinct_lines(v,w)
| distinct_lines(u,w) ),
file('GEO217+3.p',unknown),
[] ).
cnf(37,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
file('GEO217+3.p',unknown),
[] ).
cnf(50,plain,
~ convergent_lines(skc5,skc4),
inference(res,[status(thm),theory(equality)],[2,25]),
[iquote('0:Res:2.0,25.0')] ).
cnf(51,plain,
~ convergent_lines(skc5,skc3),
inference(res,[status(thm),theory(equality)],[1,25]),
[iquote('0:Res:1.0,25.0')] ).
cnf(52,plain,
convergent_lines(skc3,skc4),
inference(res,[status(thm),theory(equality)],[17,3]),
[iquote('0:Res:17.1,3.0')] ).
cnf(69,plain,
~ distinct_lines(skc5,skc3),
inference(res,[status(thm),theory(equality)],[20,51]),
[iquote('0:Res:20.1,51.0')] ).
cnf(70,plain,
~ distinct_lines(skc5,skc4),
inference(res,[status(thm),theory(equality)],[20,50]),
[iquote('0:Res:20.1,50.0')] ).
cnf(94,plain,
( equal_lines(u,v)
| distinct_lines(v,w)
| distinct_lines(u,w) ),
inference(res,[status(thm),theory(equality)],[16,29]),
[iquote('0:Res:16.1,29.0')] ).
cnf(100,plain,
( equal_lines(u,skc5)
| distinct_lines(u,skc3) ),
inference(res,[status(thm),theory(equality)],[94,69]),
[iquote('0:Res:94.1,69.0')] ).
cnf(101,plain,
( equal_lines(u,skc5)
| distinct_lines(u,skc4) ),
inference(res,[status(thm),theory(equality)],[94,70]),
[iquote('0:Res:94.1,70.0')] ).
cnf(109,plain,
equal_lines(skc3,skc5),
inference(res,[status(thm),theory(equality)],[100,5]),
[iquote('0:Res:100.1,5.0')] ).
cnf(115,plain,
equal_lines(skc4,skc5),
inference(res,[status(thm),theory(equality)],[101,5]),
[iquote('0:Res:101.1,5.0')] ).
cnf(145,plain,
( distinct_lines(skc4,u)
| convergent_lines(skc3,u) ),
inference(res,[status(thm),theory(equality)],[52,37]),
[iquote('0:Res:52.0,37.0')] ).
cnf(150,plain,
distinct_lines(skc4,skc3),
inference(res,[status(thm),theory(equality)],[145,6]),
[iquote('0:Res:145.1,6.0')] ).
cnf(153,plain,
( distinct_lines(skc3,u)
| distinct_lines(skc4,u) ),
inference(res,[status(thm),theory(equality)],[150,29]),
[iquote('0:Res:150.0,29.0')] ).
cnf(157,plain,
( ~ equal_lines(skc3,u)
| distinct_lines(skc4,u) ),
inference(res,[status(thm),theory(equality)],[153,24]),
[iquote('0:Res:153.0,24.0')] ).
cnf(201,plain,
( ~ equal_lines(skc3,u)
| ~ equal_lines(skc4,u) ),
inference(res,[status(thm),theory(equality)],[157,24]),
[iquote('0:Res:157.1,24.0')] ).
cnf(630,plain,
~ equal_lines(skc4,skc5),
inference(res,[status(thm),theory(equality)],[109,201]),
[iquote('0:Res:109.0,201.0')] ).
cnf(631,plain,
$false,
inference(mrr,[status(thm)],[630,115]),
[iquote('0:MRR:630.0,115.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO217+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 08:54:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50
% 0.20/0.50 SPASS V 3.9
% 0.20/0.50 SPASS beiseite: Proof found.
% 0.20/0.50 % SZS status Theorem
% 0.20/0.50 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 SPASS derived 574 clauses, backtracked 0 clauses, performed 0 splits and kept 387 clauses.
% 0.20/0.50 SPASS allocated 97935 KBytes.
% 0.20/0.50 SPASS spent 0:00:00.15 on the problem.
% 0.20/0.50 0:00:00.04 for the input.
% 0.20/0.50 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.50 0:00:00.01 for inferences.
% 0.20/0.50 0:00:00.00 for the backtracking.
% 0.20/0.50 0:00:00.04 for the reduction.
% 0.20/0.50
% 0.20/0.50
% 0.20/0.50 Here is a proof with depth 7, length 29 :
% 0.20/0.50 % SZS output start Refutation
% See solution above
% 0.20/0.50 Formulae used in the proof : con apart2 apart3 ax2 a3 p1 apart5 ceq3
% 0.20/0.50
%------------------------------------------------------------------------------