TSTP Solution File: GEO196+3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO196+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n006.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 06:23:16 EDT 2022
% Result : Theorem 0.59s 0.78s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of clauses : 44 ( 17 unt; 16 nHn; 44 RR)
% Number of literals : 80 ( 0 equ; 28 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
~ convergent_lines(u,u),
file('GEO196+3.p',unknown),
[] ).
cnf(11,axiom,
~ unorthogonal_lines(orthogonal_through_point(u,v),u),
file('GEO196+3.p',unknown),
[] ).
cnf(12,axiom,
~ apart_point_and_line(u,orthogonal_through_point(v,u)),
file('GEO196+3.p',unknown),
[] ).
cnf(13,axiom,
( unorthogonal_lines(u,v)
| convergent_lines(u,v) ),
file('GEO196+3.p',unknown),
[] ).
cnf(14,axiom,
( skP1(u,v)
| convergent_lines(v,u) ),
file('GEO196+3.p',unknown),
[] ).
cnf(15,axiom,
( skP1(u,v)
| unorthogonal_lines(v,u) ),
file('GEO196+3.p',unknown),
[] ).
cnf(18,axiom,
( parallel_lines(u,v)
| convergent_lines(u,v) ),
file('GEO196+3.p',unknown),
[] ).
cnf(19,axiom,
( incident_point_and_line(u,v)
| apart_point_and_line(u,v) ),
file('GEO196+3.p',unknown),
[] ).
cnf(20,axiom,
( orthogonal_lines(u,v)
| unorthogonal_lines(u,v) ),
file('GEO196+3.p',unknown),
[] ).
cnf(21,axiom,
( ~ distinct_lines(u,v)
| convergent_lines(u,v) ),
file('GEO196+3.p',unknown),
[] ).
cnf(26,axiom,
( ~ convergent_lines(u,v)
| ~ parallel_lines(u,v) ),
file('GEO196+3.p',unknown),
[] ).
cnf(28,axiom,
( ~ unorthogonal_lines(u,v)
| ~ orthogonal_lines(u,v) ),
file('GEO196+3.p',unknown),
[] ).
cnf(37,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO196+3.p',unknown),
[] ).
cnf(38,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
file('GEO196+3.p',unknown),
[] ).
cnf(40,axiom,
( ~ convergent_lines(u,v)
| unorthogonal_lines(w,v)
| unorthogonal_lines(w,u) ),
file('GEO196+3.p',unknown),
[] ).
cnf(44,axiom,
( ~ skP1(u,v)
| ~ skP1(w,v)
| skP1(u,w) ),
file('GEO196+3.p',unknown),
[] ).
cnf(45,axiom,
( ~ incident_point_and_line(intersection_point(skc4,skc5),skc6)
| ~ incident_point_and_line(intersection_point(skc4,skc5),skc7) ),
file('GEO196+3.p',unknown),
[] ).
cnf(46,axiom,
( ~ unorthogonal_lines(u,v)
| ~ convergent_lines(u,v)
| ~ skP1(v,u) ),
file('GEO196+3.p',unknown),
[] ).
cnf(85,plain,
skP1(u,orthogonal_through_point(u,v)),
inference(res,[status(thm),theory(equality)],[15,11]),
[iquote('0:Res:15.1,11.0')] ).
cnf(96,plain,
skP1(u,u),
inference(res,[status(thm),theory(equality)],[14,5]),
[iquote('0:Res:14.1,5.0')] ).
cnf(98,plain,
convergent_lines(orthogonal_through_point(u,v),u),
inference(res,[status(thm),theory(equality)],[13,11]),
[iquote('0:Res:13.0,11.0')] ).
cnf(138,plain,
~ parallel_lines(orthogonal_through_point(u,v),u),
inference(res,[status(thm),theory(equality)],[98,26]),
[iquote('0:Res:98.0,26.0')] ).
cnf(245,plain,
( parallel_lines(u,v)
| unorthogonal_lines(w,v)
| unorthogonal_lines(w,u) ),
inference(res,[status(thm),theory(equality)],[18,40]),
[iquote('0:Res:18.1,40.0')] ).
cnf(249,plain,
( incident_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
inference(res,[status(thm),theory(equality)],[19,37]),
[iquote('0:Res:19.1,37.0')] ).
cnf(268,plain,
( distinct_lines(u,v)
| convergent_lines(orthogonal_through_point(u,w),v) ),
inference(res,[status(thm),theory(equality)],[98,38]),
[iquote('0:Res:98.0,38.0')] ).
cnf(299,plain,
distinct_lines(u,orthogonal_through_point(u,v)),
inference(res,[status(thm),theory(equality)],[268,5]),
[iquote('0:Res:268.1,5.0')] ).
cnf(306,plain,
convergent_lines(u,orthogonal_through_point(u,v)),
inference(res,[status(thm),theory(equality)],[299,21]),
[iquote('0:Res:299.0,21.0')] ).
cnf(328,plain,
( ~ skP1(u,orthogonal_through_point(v,w))
| skP1(v,u) ),
inference(res,[status(thm),theory(equality)],[85,44]),
[iquote('0:Res:85.0,44.0')] ).
cnf(329,plain,
( ~ skP1(u,v)
| skP1(v,u) ),
inference(res,[status(thm),theory(equality)],[96,44]),
[iquote('0:Res:96.0,44.0')] ).
cnf(331,plain,
skP1(orthogonal_through_point(u,v),u),
inference(res,[status(thm),theory(equality)],[85,329]),
[iquote('0:Res:85.0,329.0')] ).
cnf(373,plain,
( ~ convergent_lines(u,v)
| ~ skP1(v,u)
| orthogonal_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[20,46]),
[iquote('0:Res:20.1,46.0')] ).
cnf(546,plain,
( ~ orthogonal_lines(u,v)
| parallel_lines(w,v)
| unorthogonal_lines(u,w) ),
inference(res,[status(thm),theory(equality)],[245,28]),
[iquote('0:Res:245.1,28.0')] ).
cnf(592,plain,
( incident_point_and_line(u,v)
| distinct_lines(v,orthogonal_through_point(w,u)) ),
inference(res,[status(thm),theory(equality)],[249,12]),
[iquote('0:Res:249.2,12.0')] ).
cnf(752,plain,
( ~ skP1(orthogonal_through_point(u,v),u)
| orthogonal_lines(u,orthogonal_through_point(u,v)) ),
inference(res,[status(thm),theory(equality)],[306,373]),
[iquote('0:Res:306.0,373.0')] ).
cnf(763,plain,
orthogonal_lines(u,orthogonal_through_point(u,v)),
inference(mrr,[status(thm)],[752,331]),
[iquote('0:MRR:752.0,331.0')] ).
cnf(891,plain,
( incident_point_and_line(u,v)
| convergent_lines(v,orthogonal_through_point(w,u)) ),
inference(res,[status(thm),theory(equality)],[592,21]),
[iquote('0:Res:592.1,21.0')] ).
cnf(1196,plain,
skP1(u,orthogonal_through_point(orthogonal_through_point(u,v),w)),
inference(res,[status(thm),theory(equality)],[331,328]),
[iquote('0:Res:331.0,328.0')] ).
cnf(1203,plain,
skP1(orthogonal_through_point(orthogonal_through_point(u,v),w),u),
inference(res,[status(thm),theory(equality)],[1196,329]),
[iquote('0:Res:1196.0,329.0')] ).
cnf(2016,plain,
( parallel_lines(u,orthogonal_through_point(v,w))
| unorthogonal_lines(v,u) ),
inference(res,[status(thm),theory(equality)],[763,546]),
[iquote('0:Res:763.0,546.0')] ).
cnf(2483,plain,
unorthogonal_lines(u,orthogonal_through_point(orthogonal_through_point(u,v),w)),
inference(res,[status(thm),theory(equality)],[2016,138]),
[iquote('0:Res:2016.0,138.0')] ).
cnf(2582,plain,
( ~ convergent_lines(u,orthogonal_through_point(orthogonal_through_point(u,v),w))
| ~ skP1(orthogonal_through_point(orthogonal_through_point(u,v),w),u) ),
inference(res,[status(thm),theory(equality)],[2483,46]),
[iquote('0:Res:2483.0,46.0')] ).
cnf(2584,plain,
~ convergent_lines(u,orthogonal_through_point(orthogonal_through_point(u,v),w)),
inference(mrr,[status(thm)],[2582,1203]),
[iquote('0:MRR:2582.1,1203.0')] ).
cnf(2643,plain,
incident_point_and_line(u,v),
inference(res,[status(thm),theory(equality)],[891,2584]),
[iquote('0:Res:891.1,2584.0')] ).
cnf(2654,plain,
$false,
inference(mrr,[status(thm)],[45,2643]),
[iquote('0:MRR:45.1,45.0,2643.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO196+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14 % Command : run_spass %d %s
% 0.15/0.36 % Computer : n006.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sat Jun 18 10:03:10 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.59/0.78
% 0.59/0.78 SPASS V 3.9
% 0.59/0.78 SPASS beiseite: Proof found.
% 0.59/0.78 % SZS status Theorem
% 0.59/0.78 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.78 SPASS derived 2748 clauses, backtracked 0 clauses, performed 1 splits and kept 1626 clauses.
% 0.59/0.78 SPASS allocated 99267 KBytes.
% 0.59/0.78 SPASS spent 0:00:00.40 on the problem.
% 0.59/0.78 0:00:00.04 for the input.
% 0.59/0.78 0:00:00.03 for the FLOTTER CNF translation.
% 0.59/0.78 0:00:00.03 for inferences.
% 0.59/0.78 0:00:00.00 for the backtracking.
% 0.59/0.78 0:00:00.27 for the reduction.
% 0.59/0.78
% 0.59/0.78
% 0.59/0.78 Here is a proof with depth 9, length 44 :
% 0.59/0.78 % SZS output start Refutation
% See solution above
% 0.59/0.78 Formulae used in the proof : apart3 ooc1 ooc2 coipo1 cotno1 a3 a4 a5 p1 ceq2 ceq3 couo1 con
% 0.59/0.78
%------------------------------------------------------------------------------