TSTP Solution File: GEO219+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO219+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 10 unt; 4 nHn; 19 RR)
% Number of literals : 31 ( 0 equ; 13 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('GEO219+2.p',unknown),
[] ).
cnf(2,axiom,
~ unorthogonal_lines(skc5,skc3),
file('GEO219+2.p',unknown),
[] ).
cnf(3,axiom,
~ convergent_lines(skc5,skc4),
file('GEO219+2.p',unknown),
[] ).
cnf(7,axiom,
( unorthogonal_lines(u,v)
| convergent_lines(u,v) ),
file('GEO219+2.p',unknown),
[] ).
cnf(8,axiom,
( skP0(u,v)
| convergent_lines(v,u) ),
file('GEO219+2.p',unknown),
[] ).
cnf(9,axiom,
( skP0(u,v)
| unorthogonal_lines(v,u) ),
file('GEO219+2.p',unknown),
[] ).
cnf(13,axiom,
( ~ convergent_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(u,w) ),
file('GEO219+2.p',unknown),
[] ).
cnf(17,axiom,
( ~ skP0(u,v)
| ~ skP0(w,v)
| skP0(u,w) ),
file('GEO219+2.p',unknown),
[] ).
cnf(18,axiom,
( ~ unorthogonal_lines(u,v)
| ~ convergent_lines(u,v)
| ~ skP0(v,u) ),
file('GEO219+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(26,plain,
skP0(skc4,skc5),
inference(res,[status(thm),theory(equality)],[8,3]),
[iquote('0:Res:8.0,3.0')] ).
cnf(27,plain,
( ~ convergent_lines(skc5,u)
| convergent_lines(u,skc4) ),
inference(res,[status(thm),theory(equality)],[13,3]),
[iquote('0:Res:13.1,3.0')] ).
cnf(29,plain,
convergent_lines(skc5,skc3),
inference(res,[status(thm),theory(equality)],[7,2]),
[iquote('0:Res:7.1,2.0')] ).
cnf(30,plain,
skP0(skc3,skc5),
inference(res,[status(thm),theory(equality)],[9,2]),
[iquote('0:Res:9.0,2.0')] ).
cnf(44,plain,
convergent_lines(skc3,skc4),
inference(res,[status(thm),theory(equality)],[29,27]),
[iquote('0:Res:29.0,27.0')] ).
cnf(46,plain,
~ skP0(skc4,skc3),
inference(mrr,[status(thm)],[24,44]),
[iquote('0:MRR:24.0,44.0')] ).
cnf(78,plain,
( ~ skP0(u,skc5)
| skP0(skc4,u) ),
inference(res,[status(thm),theory(equality)],[26,17]),
[iquote('0:Res:26.0,17.0')] ).
cnf(113,plain,
skP0(skc4,skc3),
inference(res,[status(thm),theory(equality)],[30,78]),
[iquote('0:Res:30.0,78.0')] ).
cnf(116,plain,
$false,
inference(mrr,[status(thm)],[113,46]),
[iquote('0:MRR:113.0,46.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO219+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 04:00:32 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.44
% 0.21/0.44 SPASS V 3.9
% 0.21/0.44 SPASS beiseite: Proof found.
% 0.21/0.44 % SZS status Theorem
% 0.21/0.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.44 SPASS derived 92 clauses, backtracked 0 clauses, performed 0 splits and kept 77 clauses.
% 0.21/0.44 SPASS allocated 85155 KBytes.
% 0.21/0.44 SPASS spent 0:00:00.09 on the problem.
% 0.21/0.44 0:00:00.04 for the input.
% 0.21/0.44 0:00:00.03 for the FLOTTER CNF translation.
% 0.21/0.44 0:00:00.00 for inferences.
% 0.21/0.44 0:00:00.00 for the backtracking.
% 0.21/0.44 0:00:00.00 for the reduction.
% 0.21/0.44
% 0.21/0.44
% 0.21/0.44 Here is a proof with depth 3, length 19 :
% 0.21/0.44 % SZS output start Refutation
% See solution above
% 0.21/0.44 Formulae used in the proof : con coipo1 cotno1 apart6
% 0.21/0.44
%------------------------------------------------------------------------------