TSTP Solution File: GEO067-3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO067-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 06:22:03 EDT 2022
% Result : Unsatisfiable 0.20s 0.44s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 10 unt; 0 nHn; 21 RR)
% Number of literals : 40 ( 0 equ; 28 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(28,axiom,
between(u,u,v),
file('GEO067-3.p',unknown),
[] ).
cnf(69,axiom,
( ~ colinear(u,v,w)
| colinear(u,w,v) ),
file('GEO067-3.p',unknown),
[] ).
cnf(71,axiom,
( ~ colinear(u,v,w)
| colinear(v,u,w) ),
file('GEO067-3.p',unknown),
[] ).
cnf(73,axiom,
( ~ colinear(x__dfg,x__dfg,y__dfg)
| ~ colinear(x__dfg,y__dfg,x__dfg)
| ~ colinear(y__dfg,x__dfg,x__dfg)
| equal(y__dfg,x__dfg) ),
file('GEO067-3.p',unknown),
[] ).
cnf(74,axiom,
( ~ colinear(x__dfg,x__dfg,y__dfg)
| ~ colinear(x__dfg,y__dfg,x__dfg)
| ~ colinear(y__dfg,x__dfg,x__dfg)
| ~ colinear(x__dfg,z__dfg,y__dfg) ),
file('GEO067-3.p',unknown),
[] ).
cnf(94,axiom,
( ~ between(u,v,w)
| colinear(w,u,v) ),
file('GEO067-3.p',unknown),
[] ).
cnf(95,axiom,
( ~ between(u,v,w)
| colinear(v,w,u) ),
file('GEO067-3.p',unknown),
[] ).
cnf(101,plain,
( ~ colinear(y__dfg,x__dfg,x__dfg)
| equal(y__dfg,x__dfg) ),
inference(mrr,[status(thm)],[73,69,71]),
[iquote('0:MRR:73.0,73.1,69.1,71.1')] ).
cnf(102,plain,
( ~ colinear(x__dfg,x__dfg,x__dfg)
| ~ colinear(x__dfg,x__dfg,x__dfg)
| ~ colinear(y__dfg,x__dfg,x__dfg)
| ~ colinear(x__dfg,z__dfg,x__dfg) ),
inference(rew,[status(thm),theory(equality)],[101,74]),
[iquote('0:Rew:101.1,74.3,101.1,74.1,101.1,74.0')] ).
cnf(103,plain,
( ~ colinear(x__dfg,x__dfg,x__dfg)
| ~ colinear(x__dfg,z__dfg,x__dfg)
| ~ colinear(y__dfg,x__dfg,x__dfg) ),
inference(obv,[status(thm),theory(equality)],[102]),
[iquote('0:Obv:102.0')] ).
cnf(117,plain,
~ colinear(y__dfg,x__dfg,x__dfg),
inference(spt,[spt(split,[position(s1)])],[101]),
[iquote('1:Spt:101.0')] ).
cnf(148,plain,
~ between(x__dfg,x__dfg,y__dfg),
inference(res,[status(thm),theory(equality)],[94,117]),
[iquote('1:Res:94.1,117.0')] ).
cnf(154,plain,
$false,
inference(mrr,[status(thm)],[148,28]),
[iquote('1:MRR:148.0,28.0')] ).
cnf(155,plain,
colinear(y__dfg,x__dfg,x__dfg),
inference(spt,[spt(split,[position(sa)])],[154,117]),
[iquote('1:Spt:154.0,101.0,117.0')] ).
cnf(156,plain,
equal(y__dfg,x__dfg),
inference(spt,[spt(split,[position(s2)])],[101]),
[iquote('1:Spt:154.0,101.1')] ).
cnf(157,plain,
colinear(x__dfg,x__dfg,x__dfg),
inference(rew,[status(thm),theory(equality)],[156,155]),
[iquote('1:Rew:156.0,155.0')] ).
cnf(158,plain,
( ~ colinear(x__dfg,x__dfg,x__dfg)
| ~ colinear(x__dfg,z__dfg,x__dfg)
| ~ colinear(x__dfg,x__dfg,x__dfg) ),
inference(rew,[status(thm),theory(equality)],[156,103]),
[iquote('1:Rew:156.0,103.2')] ).
cnf(159,plain,
( ~ colinear(x__dfg,z__dfg,x__dfg)
| ~ colinear(x__dfg,x__dfg,x__dfg) ),
inference(obv,[status(thm),theory(equality)],[158]),
[iquote('1:Obv:158.0')] ).
cnf(160,plain,
~ colinear(x__dfg,z__dfg,x__dfg),
inference(mrr,[status(thm)],[159,157]),
[iquote('1:MRR:159.1,157.0')] ).
cnf(168,plain,
~ between(x__dfg,x__dfg,z__dfg),
inference(res,[status(thm),theory(equality)],[95,160]),
[iquote('1:Res:95.1,160.0')] ).
cnf(170,plain,
$false,
inference(mrr,[status(thm)],[168,28]),
[iquote('1:MRR:168.0,28.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO067-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 600
% 0.12/0.35 % DateTime : Sat Jun 18 07:36:01 EDT 2022
% 0.12/0.35 % 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/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44 SPASS derived 56 clauses, backtracked 3 clauses, performed 1 splits and kept 107 clauses.
% 0.20/0.44 SPASS allocated 63246 KBytes.
% 0.20/0.44 SPASS spent 0:00:00.08 on the problem.
% 0.20/0.44 0:00:00.04 for the input.
% 0.20/0.44 0:00:00.00 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 0:00:00.02 for the reduction.
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 Here is a proof with depth 2, length 21 :
% 0.20/0.44 % SZS output start Refutation
% See solution above
% 0.20/0.44 Formulae used in the proof : t2 t10_3 t10_5 part_1 part_2 colinearity2 colinearity3
% 0.20/0.44
%------------------------------------------------------------------------------