TSTP Solution File: GEO218+3 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO218+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 06:23:35 EDT 2022
% Result : Theorem 0.17s 0.44s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of clauses : 35 ( 17 unt; 9 nHn; 35 RR)
% Number of literals : 57 ( 0 equ; 25 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 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('GEO218+3.p',unknown),
[] ).
cnf(2,axiom,
orthogonal_lines(skc5,skc4),
file('GEO218+3.p',unknown),
[] ).
cnf(3,axiom,
~ orthogonal_lines(skc3,skc4),
file('GEO218+3.p',unknown),
[] ).
cnf(5,axiom,
~ distinct_lines(u,u),
file('GEO218+3.p',unknown),
[] ).
cnf(12,axiom,
( unorthogonal_lines(u,v)
| convergent_lines(u,v) ),
file('GEO218+3.p',unknown),
[] ).
cnf(13,axiom,
( skP1(u,v)
| convergent_lines(v,u) ),
file('GEO218+3.p',unknown),
[] ).
cnf(14,axiom,
( skP1(u,v)
| unorthogonal_lines(v,u) ),
file('GEO218+3.p',unknown),
[] ).
cnf(16,axiom,
( equal_lines(u,v)
| distinct_lines(u,v) ),
file('GEO218+3.p',unknown),
[] ).
cnf(19,axiom,
( orthogonal_lines(u,v)
| unorthogonal_lines(u,v) ),
file('GEO218+3.p',unknown),
[] ).
cnf(20,axiom,
( ~ distinct_lines(u,v)
| convergent_lines(u,v) ),
file('GEO218+3.p',unknown),
[] ).
cnf(24,axiom,
( ~ distinct_lines(u,v)
| ~ equal_lines(u,v) ),
file('GEO218+3.p',unknown),
[] ).
cnf(25,axiom,
( ~ convergent_lines(u,v)
| ~ parallel_lines(u,v) ),
file('GEO218+3.p',unknown),
[] ).
cnf(27,axiom,
( ~ unorthogonal_lines(u,v)
| ~ orthogonal_lines(u,v) ),
file('GEO218+3.p',unknown),
[] ).
cnf(29,axiom,
( ~ distinct_lines(u,v)
| distinct_lines(v,w)
| distinct_lines(u,w) ),
file('GEO218+3.p',unknown),
[] ).
cnf(37,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
file('GEO218+3.p',unknown),
[] ).
cnf(43,axiom,
( ~ skP1(u,v)
| ~ skP1(w,v)
| skP1(u,w) ),
file('GEO218+3.p',unknown),
[] ).
cnf(44,axiom,
( ~ unorthogonal_lines(u,v)
| ~ convergent_lines(u,v)
| ~ skP1(v,u) ),
file('GEO218+3.p',unknown),
[] ).
cnf(50,plain,
~ unorthogonal_lines(skc5,skc4),
inference(res,[status(thm),theory(equality)],[2,27]),
[iquote('0:Res:2.0,27.0')] ).
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,
unorthogonal_lines(skc3,skc4),
inference(res,[status(thm),theory(equality)],[19,3]),
[iquote('0:Res:19.1,3.0')] ).
cnf(60,plain,
skP1(skc4,skc5),
inference(res,[status(thm),theory(equality)],[14,50]),
[iquote('0:Res:14.1,50.0')] ).
cnf(64,plain,
skP1(skc3,skc5),
inference(res,[status(thm),theory(equality)],[13,51]),
[iquote('0:Res:13.1,51.0')] ).
cnf(67,plain,
convergent_lines(skc5,skc4),
inference(res,[status(thm),theory(equality)],[12,50]),
[iquote('0:Res:12.0,50.0')] ).
cnf(142,plain,
( distinct_lines(skc4,u)
| convergent_lines(skc5,u) ),
inference(res,[status(thm),theory(equality)],[67,37]),
[iquote('0:Res:67.0,37.0')] ).
cnf(146,plain,
distinct_lines(skc4,skc3),
inference(res,[status(thm),theory(equality)],[142,51]),
[iquote('0:Res:142.1,51.0')] ).
cnf(150,plain,
( distinct_lines(skc3,u)
| distinct_lines(skc4,u) ),
inference(res,[status(thm),theory(equality)],[146,29]),
[iquote('0:Res:146.0,29.0')] ).
cnf(161,plain,
( ~ equal_lines(skc3,u)
| distinct_lines(skc4,u) ),
inference(res,[status(thm),theory(equality)],[150,24]),
[iquote('0:Res:150.0,24.0')] ).
cnf(174,plain,
~ equal_lines(skc3,skc4),
inference(res,[status(thm),theory(equality)],[161,5]),
[iquote('0:Res:161.1,5.0')] ).
cnf(180,plain,
( ~ skP1(u,skc5)
| skP1(skc4,u) ),
inference(res,[status(thm),theory(equality)],[60,43]),
[iquote('0:Res:60.0,43.0')] ).
cnf(188,plain,
skP1(skc4,skc3),
inference(res,[status(thm),theory(equality)],[64,180]),
[iquote('0:Res:64.0,180.0')] ).
cnf(193,plain,
( ~ convergent_lines(skc3,skc4)
| ~ skP1(skc4,skc3) ),
inference(res,[status(thm),theory(equality)],[52,44]),
[iquote('0:Res:52.0,44.0')] ).
cnf(200,plain,
~ convergent_lines(skc3,skc4),
inference(mrr,[status(thm)],[193,188]),
[iquote('0:MRR:193.1,188.0')] ).
cnf(203,plain,
~ distinct_lines(skc3,skc4),
inference(res,[status(thm),theory(equality)],[20,200]),
[iquote('0:Res:20.1,200.0')] ).
cnf(204,plain,
equal_lines(skc3,skc4),
inference(res,[status(thm),theory(equality)],[16,203]),
[iquote('0:Res:16.1,203.0')] ).
cnf(209,plain,
$false,
inference(mrr,[status(thm)],[204,174]),
[iquote('0:MRR:204.0,174.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GEO218+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.11 % Command : run_spass %d %s
% 0.10/0.32 % Computer : n028.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 600
% 0.10/0.32 % DateTime : Sat Jun 18 04:31:43 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.17/0.44
% 0.17/0.44 SPASS V 3.9
% 0.17/0.44 SPASS beiseite: Proof found.
% 0.17/0.44 % SZS status Theorem
% 0.17/0.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 SPASS derived 154 clauses, backtracked 0 clauses, performed 0 splits and kept 151 clauses.
% 0.17/0.44 SPASS allocated 97742 KBytes.
% 0.17/0.44 SPASS spent 0:00:00.11 on the problem.
% 0.17/0.44 0:00:00.04 for the input.
% 0.17/0.44 0:00:00.03 for the FLOTTER CNF translation.
% 0.17/0.44 0:00:00.00 for inferences.
% 0.17/0.44 0:00:00.00 for the backtracking.
% 0.17/0.44 0:00:00.01 for the reduction.
% 0.17/0.44
% 0.17/0.44
% 0.17/0.44 Here is a proof with depth 7, length 35 :
% 0.17/0.44 % SZS output start Refutation
% See solution above
% 0.17/0.44 Formulae used in the proof : con apart2 coipo1 cotno1 ax2 a5 p1 a3 apart5 ceq3
% 0.17/0.44
%------------------------------------------------------------------------------