%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO171+1 : TPTP v8.1.0. Released v3.3.0.
% 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 06:22:53 EDT 2022
% Result : Theorem 0.20s 0.44s
% Output : Refutation 0.20s
% 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+1.p',unknown),
[] ).
cnf(2,axiom,
~ distinct_lines(skc2,skc3),
file('GEO171+1.p',unknown),
[] ).
cnf(4,axiom,
~ distinct_lines(u,u),
file('GEO171+1.p',unknown),
[] ).
cnf(5,axiom,
~ convergent_lines(u,u),
file('GEO171+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ distinct_lines(u,v)
| distinct_lines(v,w)
| distinct_lines(u,w) ),
file('GEO171+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
file('GEO171+1.p',unknown),
[] ).
cnf(20,plain,
( distinct_lines(skc3,u)
| convergent_lines(skc2,u) ),
inference(res,[status(thm),theory(equality)],[1,15]),
[iquote('0:Res:1.0,15.0')] ).
cnf(22,plain,
( ~ distinct_lines(u,skc2)
| distinct_lines(u,skc3) ),
inference(res,[status(thm),theory(equality)],[7,2]),
[iquote('0:Res:7.2,2.0')] ).
cnf(29,plain,
( convergent_lines(skc2,skc2)
| distinct_lines(skc3,skc3) ),
inference(res,[status(thm),theory(equality)],[20,22]),
[iquote('0:Res:20.0,22.0')] ).
cnf(30,plain,
$false,
inference(mrr,[status(thm)],[29,5,4]),
[iquote('0:MRR:29.0,29.1,5.0,4.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO171+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % 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 02:21:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.44
% 0.20/0.44 SPASS V 3.9
% 0.20/0.44 SPASS beiseite: Proof found.
% 0.20/0.44 % SZS status Theorem
% 0.20/0.44 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.44 SPASS derived 13 clauses, backtracked 0 clauses, performed 0 splits and kept 26 clauses.
% 0.20/0.44 SPASS allocated 85137 KBytes.
% 0.20/0.44 SPASS spent 0:00:00.09 on the problem.
% 0.20/0.44 0:00:00.04 for the input.
% 0.20/0.44 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.44 0:00:00.00 for inferences.
% 0.20/0.44 0:00:00.00 for the backtracking.
% 0.20/0.44 0:00:00.00 for the reduction.
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 Here is a proof with depth 2, length 10 :
% 0.20/0.44 % SZS output start Refutation
% See solution above
% 0.20/0.44 Formulae used in the proof : con apart2 apart3 apart5 ceq3
% 0.20/0.44
%------------------------------------------------------------------------------