TSTP Solution File: GEO171+3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO171+3 : TPTP v8.1.0. Released v4.0.0.
% 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 06:22:54 EDT 2022
% Result : Theorem 0.21s 0.46s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 5 unt; 4 nHn; 10 RR)
% Number of literals : 17 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 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,
convergent_lines(skc2,skc3),
file('GEO171+3.p',unknown),
[] ).
cnf(2,axiom,
~ distinct_lines(skc2,skc3),
file('GEO171+3.p',unknown),
[] ).
cnf(4,axiom,
~ distinct_lines(u,u),
file('GEO171+3.p',unknown),
[] ).
cnf(5,axiom,
~ convergent_lines(u,u),
file('GEO171+3.p',unknown),
[] ).
cnf(28,axiom,
( ~ distinct_lines(u,v)
| distinct_lines(v,w)
| distinct_lines(u,w) ),
file('GEO171+3.p',unknown),
[] ).
cnf(36,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
file('GEO171+3.p',unknown),
[] ).
cnf(54,plain,
( distinct_lines(skc3,u)
| convergent_lines(skc2,u) ),
inference(res,[status(thm),theory(equality)],[1,36]),
[iquote('0:Res:1.0,36.0')] ).
cnf(60,plain,
( ~ distinct_lines(u,skc2)
| distinct_lines(u,skc3) ),
inference(res,[status(thm),theory(equality)],[28,2]),
[iquote('0:Res:28.2,2.0')] ).
cnf(91,plain,
( convergent_lines(skc2,skc2)
| distinct_lines(skc3,skc3) ),
inference(res,[status(thm),theory(equality)],[54,60]),
[iquote('0:Res:54.0,60.0')] ).
cnf(93,plain,
$false,
inference(mrr,[status(thm)],[91,5,4]),
[iquote('0:MRR:91.0,91.1,5.0,4.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO171+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 18:39:29 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.46
% 0.21/0.46 SPASS V 3.9
% 0.21/0.46 SPASS beiseite: Proof found.
% 0.21/0.46 % SZS status Theorem
% 0.21/0.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.46 SPASS derived 40 clauses, backtracked 0 clauses, performed 0 splits and kept 78 clauses.
% 0.21/0.46 SPASS allocated 97737 KBytes.
% 0.21/0.46 SPASS spent 0:00:00.09 on the problem.
% 0.21/0.46 0:00:00.04 for the input.
% 0.21/0.46 0:00:00.03 for the FLOTTER CNF translation.
% 0.21/0.46 0:00:00.00 for inferences.
% 0.21/0.46 0:00:00.00 for the backtracking.
% 0.21/0.46 0:00:00.00 for the reduction.
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46 Here is a proof with depth 2, length 10 :
% 0.21/0.46 % SZS output start Refutation
% See solution above
% 0.21/0.46 Formulae used in the proof : con apart2 apart3 apart5 ceq3
% 0.21/0.46
%------------------------------------------------------------------------------