TSTP Solution File: GEO085+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO085+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 06:22:12 EDT 2022
% Result : Theorem 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of clauses : 19 ( 7 unt; 2 nHn; 19 RR)
% Number of literals : 33 ( 0 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
open(skc1),
file('GEO085+1.p',unknown),
[] ).
cnf(7,axiom,
( closed(u)
| end_point(skf17(u),u) ),
file('GEO085+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ closed(u)
| ~ end_point(v,u) ),
file('GEO085+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ open(u)
| end_point(skf18(u),u) ),
file('GEO085+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ end_point(u,v)
| end_point(skf22(u,v),v) ),
file('GEO085+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ end_point(u,v)
| ~ equal(skf22(u,w),u) ),
file('GEO085+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ end_point(u,skc1)
| ~ end_point(v,skc1)
| equal(v,u) ),
file('GEO085+1.p',unknown),
[] ).
cnf(45,plain,
end_point(skf18(skc1),skc1),
inference(res,[status(thm),theory(equality)],[1,12]),
[iquote('0:Res:1.0,12.0')] ).
cnf(46,plain,
( ~ end_point(u,skc1)
| equal(skf18(skc1),u) ),
inference(res,[status(thm),theory(equality)],[45,23]),
[iquote('0:Res:45.0,23.0')] ).
cnf(51,plain,
~ closed(skc1),
inference(res,[status(thm),theory(equality)],[45,11]),
[iquote('0:Res:45.0,11.1')] ).
cnf(56,plain,
( closed(skc1)
| equal(skf18(skc1),skf17(skc1)) ),
inference(res,[status(thm),theory(equality)],[7,46]),
[iquote('0:Res:7.1,46.0')] ).
cnf(58,plain,
equal(skf18(skc1),skf17(skc1)),
inference(mrr,[status(thm)],[56,51]),
[iquote('0:MRR:56.0,51.0')] ).
cnf(59,plain,
end_point(skf17(skc1),skc1),
inference(rew,[status(thm),theory(equality)],[58,45]),
[iquote('0:Rew:58.0,45.0')] ).
cnf(60,plain,
( ~ end_point(u,skc1)
| equal(skf17(skc1),u) ),
inference(rew,[status(thm),theory(equality)],[58,46]),
[iquote('0:Rew:58.0,46.1')] ).
cnf(72,plain,
( ~ end_point(u,skc1)
| equal(skf22(u,skc1),skf17(skc1)) ),
inference(res,[status(thm),theory(equality)],[19,60]),
[iquote('0:Res:19.1,60.0')] ).
cnf(81,plain,
( ~ end_point(u,skc1)
| ~ end_point(u,v)
| ~ equal(skf17(skc1),u) ),
inference(spl,[status(thm),theory(equality)],[72,21]),
[iquote('0:SpL:72.1,21.1')] ).
cnf(82,plain,
( ~ end_point(u,skc1)
| ~ equal(skf17(skc1),u) ),
inference(con,[status(thm)],[81]),
[iquote('0:Con:81.1')] ).
cnf(86,plain,
~ equal(skf17(skc1),skf17(skc1)),
inference(res,[status(thm),theory(equality)],[59,82]),
[iquote('0:Res:59.0,82.0')] ).
cnf(87,plain,
$false,
inference(obv,[status(thm),theory(equality)],[86]),
[iquote('0:Obv:86.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO085+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jun 18 10:07:17 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.46
% 0.18/0.46 SPASS V 3.9
% 0.18/0.46 SPASS beiseite: Proof found.
% 0.18/0.46 % SZS status Theorem
% 0.18/0.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 SPASS derived 39 clauses, backtracked 0 clauses, performed 0 splits and kept 64 clauses.
% 0.18/0.46 SPASS allocated 98033 KBytes.
% 0.18/0.46 SPASS spent 0:00:00.12 on the problem.
% 0.18/0.46 0:00:00.04 for the input.
% 0.18/0.46 0:00:00.06 for the FLOTTER CNF translation.
% 0.18/0.46 0:00:00.00 for inferences.
% 0.18/0.46 0:00:00.00 for the backtracking.
% 0.18/0.46 0:00:00.00 for the reduction.
% 0.18/0.46
% 0.18/0.46
% 0.18/0.46 Here is a proof with depth 5, length 19 :
% 0.18/0.46 % SZS output start Refutation
% See solution above
% 0.18/0.46 Formulae used in the proof : theorem_2_7_1 closed_defn open_defn c6
% 0.18/0.46
%------------------------------------------------------------------------------