TSTP Solution File: GEO218+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO218+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n003.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 0.10s 0.32s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 22 ( 11 unt; 5 nHn; 22 RR)
% Number of literals : 36 ( 0 equ; 15 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 : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
unorthogonal_lines(skc3,skc4),
file('GEO218+2.p',unknown),
[] ).
cnf(2,axiom,
~ convergent_lines(skc5,skc3),
file('GEO218+2.p',unknown),
[] ).
cnf(3,axiom,
~ unorthogonal_lines(skc5,skc4),
file('GEO218+2.p',unknown),
[] ).
cnf(6,axiom,
~ convergent_lines(u,u),
file('GEO218+2.p',unknown),
[] ).
cnf(7,axiom,
( unorthogonal_lines(u,v)
| convergent_lines(u,v) ),
file('GEO218+2.p',unknown),
[] ).
cnf(8,axiom,
( skP0(u,v)
| convergent_lines(v,u) ),
file('GEO218+2.p',unknown),
[] ).
cnf(9,axiom,
( skP0(u,v)
| unorthogonal_lines(v,u) ),
file('GEO218+2.p',unknown),
[] ).
cnf(13,axiom,
( ~ convergent_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(u,w) ),
file('GEO218+2.p',unknown),
[] ).
cnf(17,axiom,
( ~ skP0(u,v)
| ~ skP0(w,v)
| skP0(u,w) ),
file('GEO218+2.p',unknown),
[] ).
cnf(18,axiom,
( ~ unorthogonal_lines(u,v)
| ~ convergent_lines(u,v)
| ~ skP0(v,u) ),
file('GEO218+2.p',unknown),
[] ).
cnf(24,plain,
( ~ convergent_lines(skc3,skc4)
| ~ skP0(skc4,skc3) ),
inference(res,[status(thm),theory(equality)],[1,18]),
[iquote('0:Res:1.0,18.2')] ).
cnf(25,plain,
convergent_lines(skc5,skc4),
inference(res,[status(thm),theory(equality)],[7,3]),
[iquote('0:Res:7.1,3.0')] ).
cnf(26,plain,
skP0(skc4,skc5),
inference(res,[status(thm),theory(equality)],[9,3]),
[iquote('0:Res:9.0,3.0')] ).
cnf(30,plain,
skP0(skc3,skc5),
inference(res,[status(thm),theory(equality)],[8,2]),
[iquote('0:Res:8.0,2.0')] ).
cnf(31,plain,
( ~ convergent_lines(skc5,u)
| convergent_lines(u,skc3) ),
inference(res,[status(thm),theory(equality)],[13,2]),
[iquote('0:Res:13.1,2.0')] ).
cnf(44,plain,
convergent_lines(skc4,skc3),
inference(res,[status(thm),theory(equality)],[25,31]),
[iquote('0:Res:25.0,31.0')] ).
cnf(73,plain,
( convergent_lines(skc3,u)
| convergent_lines(skc4,u) ),
inference(res,[status(thm),theory(equality)],[44,13]),
[iquote('0:Res:44.0,13.0')] ).
cnf(75,plain,
( ~ skP0(u,skc5)
| skP0(skc4,u) ),
inference(res,[status(thm),theory(equality)],[26,17]),
[iquote('0:Res:26.0,17.0')] ).
cnf(88,plain,
( ~ skP0(skc4,skc3)
| convergent_lines(skc4,skc4) ),
inference(res,[status(thm),theory(equality)],[73,24]),
[iquote('0:Res:73.0,24.0')] ).
cnf(89,plain,
~ skP0(skc4,skc3),
inference(mrr,[status(thm)],[88,6]),
[iquote('0:MRR:88.1,6.0')] ).
cnf(115,plain,
skP0(skc4,skc3),
inference(res,[status(thm),theory(equality)],[30,75]),
[iquote('0:Res:30.0,75.0')] ).
cnf(118,plain,
$false,
inference(mrr,[status(thm)],[115,89]),
[iquote('0:MRR:115.0,89.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.06 % Problem : GEO218+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.07 % Command : run_spass %d %s
% 0.06/0.25 % Computer : n003.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 600
% 0.06/0.25 % DateTime : Sat Jun 18 16:42:43 EDT 2022
% 0.06/0.25 % CPUTime :
% 0.10/0.32
% 0.10/0.32 SPASS V 3.9
% 0.10/0.32 SPASS beiseite: Proof found.
% 0.10/0.32 % SZS status Theorem
% 0.10/0.32 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.32 SPASS derived 92 clauses, backtracked 0 clauses, performed 0 splits and kept 77 clauses.
% 0.10/0.32 SPASS allocated 85155 KBytes.
% 0.10/0.32 SPASS spent 0:00:00.06 on the problem.
% 0.10/0.32 0:00:00.02 for the input.
% 0.10/0.32 0:00:00.02 for the FLOTTER CNF translation.
% 0.10/0.32 0:00:00.00 for inferences.
% 0.10/0.32 0:00:00.00 for the backtracking.
% 0.10/0.32 0:00:00.00 for the reduction.
% 0.10/0.32
% 0.10/0.32
% 0.10/0.32 Here is a proof with depth 4, length 22 :
% 0.10/0.32 % SZS output start Refutation
% See solution above
% 0.10/0.32 Formulae used in the proof : con apart3 coipo1 cotno1 apart6
% 0.10/0.32
%------------------------------------------------------------------------------