TSTP Solution File: GEO222+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO222+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n003.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 06:23:38 EDT 2022
% Result : Theorem 7.95s 8.18s
% Output : Refutation 7.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of clauses : 33 ( 9 unt; 21 nHn; 33 RR)
% Number of literals : 83 ( 0 equ; 16 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ convergent_lines(u,u),
file('GEO222+1.p',unknown),
[] ).
cnf(4,axiom,
~ convergent_lines(parallel_through_point(u,v),u),
file('GEO222+1.p',unknown),
[] ).
cnf(5,axiom,
~ apart_point_and_line(u,parallel_through_point(v,u)),
file('GEO222+1.p',unknown),
[] ).
cnf(6,axiom,
( unorthogonal_lines(u,v)
| convergent_lines(u,v) ),
file('GEO222+1.p',unknown),
[] ).
cnf(7,axiom,
~ unorthogonal_lines(orthogonal_through_point(u,v),u),
file('GEO222+1.p',unknown),
[] ).
cnf(8,axiom,
~ apart_point_and_line(u,orthogonal_through_point(v,u)),
file('GEO222+1.p',unknown),
[] ).
cnf(9,axiom,
convergent_lines(skc2,orthogonal_through_point(orthogonal_through_point(skc2,skc3),skc3)),
file('GEO222+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ skP0(u,v)
| convergent_lines(v,u) ),
file('GEO222+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ skP0(u,v)
| unorthogonal_lines(v,u) ),
file('GEO222+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ convergent_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(u,w) ),
file('GEO222+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
file('GEO222+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ skP0(u,v)
| skP0(w,u)
| skP0(w,v) ),
file('GEO222+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ unorthogonal_lines(u,v)
| ~ convergent_lines(u,v)
| skP0(v,u) ),
file('GEO222+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ distinct_lines(u,v)
| unorthogonal_lines(v,w)
| unorthogonal_lines(u,w)
| apart_point_and_line(x,v)
| apart_point_and_line(x,u) ),
file('GEO222+1.p',unknown),
[] ).
cnf(31,plain,
( convergent_lines(skc2,u)
| distinct_lines(orthogonal_through_point(orthogonal_through_point(skc2,skc3),skc3),u) ),
inference(res,[status(thm),theory(equality)],[9,21]),
[iquote('0:Res:9.0,21.0')] ).
cnf(32,plain,
convergent_lines(orthogonal_through_point(u,v),u),
inference(res,[status(thm),theory(equality)],[6,7]),
[iquote('0:Res:6.0,7.0')] ).
cnf(41,plain,
( convergent_lines(u,v)
| convergent_lines(orthogonal_through_point(u,w),v) ),
inference(res,[status(thm),theory(equality)],[32,14]),
[iquote('0:Res:32.0,14.0')] ).
cnf(47,plain,
( convergent_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(orthogonal_through_point(u,x),w) ),
inference(res,[status(thm),theory(equality)],[41,14]),
[iquote('0:Res:41.1,14.0')] ).
cnf(55,plain,
( ~ unorthogonal_lines(u,v)
| ~ convergent_lines(u,v)
| skP0(w,v)
| skP0(w,u) ),
inference(res,[status(thm),theory(equality)],[23,22]),
[iquote('0:Res:23.2,22.0')] ).
cnf(97,plain,
( convergent_lines(skc2,u)
| unorthogonal_lines(u,v)
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(skc2,skc3),skc3),v)
| apart_point_and_line(w,u)
| apart_point_and_line(w,orthogonal_through_point(orthogonal_through_point(skc2,skc3),skc3)) ),
inference(res,[status(thm),theory(equality)],[31,25]),
[iquote('0:Res:31.1,25.0')] ).
cnf(156,plain,
( convergent_lines(u,v)
| convergent_lines(v,orthogonal_through_point(u,w)) ),
inference(res,[status(thm),theory(equality)],[47,3]),
[iquote('0:Res:47.2,3.0')] ).
cnf(352,plain,
( convergent_lines(skc2,u)
| unorthogonal_lines(u,orthogonal_through_point(skc2,skc3))
| apart_point_and_line(v,u)
| apart_point_and_line(v,orthogonal_through_point(orthogonal_through_point(skc2,skc3),skc3)) ),
inference(res,[status(thm),theory(equality)],[97,7]),
[iquote('0:Res:97.2,7.0')] ).
cnf(998,plain,
( convergent_lines(skc2,u)
| unorthogonal_lines(u,orthogonal_through_point(skc2,skc3))
| apart_point_and_line(skc3,u) ),
inference(res,[status(thm),theory(equality)],[352,8]),
[iquote('0:Res:352.3,8.0')] ).
cnf(1013,plain,
( ~ convergent_lines(u,orthogonal_through_point(skc2,skc3))
| convergent_lines(skc2,u)
| apart_point_and_line(skc3,u)
| skP0(v,orthogonal_through_point(skc2,skc3))
| skP0(v,u) ),
inference(res,[status(thm),theory(equality)],[998,55]),
[iquote('0:Res:998.1,55.0')] ).
cnf(1014,plain,
( convergent_lines(skc2,u)
| apart_point_and_line(skc3,u)
| skP0(v,orthogonal_through_point(skc2,skc3))
| skP0(v,u) ),
inference(mrr,[status(thm)],[1013,156]),
[iquote('0:MRR:1013.0,156.1')] ).
cnf(8226,plain,
( convergent_lines(skc2,u)
| apart_point_and_line(skc3,u)
| skP0(v,u)
| unorthogonal_lines(orthogonal_through_point(skc2,skc3),v) ),
inference(res,[status(thm),theory(equality)],[1014,11]),
[iquote('0:Res:1014.2,11.0')] ).
cnf(8296,plain,
( convergent_lines(skc2,u)
| apart_point_and_line(skc3,u)
| skP0(skc2,u) ),
inference(res,[status(thm),theory(equality)],[8226,7]),
[iquote('0:Res:8226.3,7.0')] ).
cnf(8299,plain,
( convergent_lines(skc2,u)
| apart_point_and_line(skc3,u)
| convergent_lines(u,skc2) ),
inference(res,[status(thm),theory(equality)],[8296,10]),
[iquote('0:Res:8296.2,10.0')] ).
cnf(8302,plain,
( convergent_lines(skc2,parallel_through_point(u,skc3))
| convergent_lines(parallel_through_point(u,skc3),skc2) ),
inference(res,[status(thm),theory(equality)],[8299,5]),
[iquote('0:Res:8299.1,5.0')] ).
cnf(8459,plain,
( convergent_lines(skc2,parallel_through_point(u,skc3))
| convergent_lines(skc2,v)
| convergent_lines(parallel_through_point(u,skc3),v) ),
inference(res,[status(thm),theory(equality)],[8302,14]),
[iquote('0:Res:8302.1,14.0')] ).
cnf(8461,plain,
( convergent_lines(skc2,u)
| convergent_lines(parallel_through_point(v,skc3),u) ),
inference(mrr,[status(thm)],[8459,14]),
[iquote('0:MRR:8459.0,14.0')] ).
cnf(8478,plain,
convergent_lines(skc2,u),
inference(res,[status(thm),theory(equality)],[8461,4]),
[iquote('0:Res:8461.1,4.0')] ).
cnf(8485,plain,
$false,
inference(unc,[status(thm)],[8478,3]),
[iquote('0:UnC:8478.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO222+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 17 20:59:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.95/8.18
% 7.95/8.18 SPASS V 3.9
% 7.95/8.18 SPASS beiseite: Proof found.
% 7.95/8.18 % SZS status Theorem
% 7.95/8.18 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.95/8.18 SPASS derived 8088 clauses, backtracked 1 clauses, performed 1 splits and kept 4850 clauses.
% 7.95/8.18 SPASS allocated 90471 KBytes.
% 7.95/8.18 SPASS spent 0:00:07.78 on the problem.
% 7.95/8.18 0:00:00.03 for the input.
% 7.95/8.18 0:00:00.03 for the FLOTTER CNF translation.
% 7.95/8.18 0:00:00.17 for inferences.
% 7.95/8.18 0:00:00.01 for the backtracking.
% 7.95/8.18 0:00:07.47 for the reduction.
% 7.95/8.18
% 7.95/8.18
% 7.95/8.18 Here is a proof with depth 11, length 33 :
% 7.95/8.18 % SZS output start Refutation
% See solution above
% 7.95/8.18 Formulae used in the proof : apart3 cp1 cp2 occu1 ooc1 ooc2 con oac1 ax6 ceq3 ouo1
% 7.95/8.18
%------------------------------------------------------------------------------