%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO223+3 : TPTP v8.1.0. Released v4.0.0.
% 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 06:23:39 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of clauses : 34 ( 16 unt; 10 nHn; 34 RR)
% Number of literals : 57 ( 0 equ; 23 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ convergent_lines(u,u),
file('GEO223+3.p',unknown),
[] ).
cnf(4,axiom,
~ convergent_lines(parallel_through_point(u,v),u),
file('GEO223+3.p',unknown),
[] ).
cnf(7,axiom,
~ unorthogonal_lines(orthogonal_through_point(u,v),u),
file('GEO223+3.p',unknown),
[] ).
cnf(9,axiom,
( unorthogonal_lines(u,v)
| convergent_lines(u,v) ),
file('GEO223+3.p',unknown),
[] ).
cnf(10,axiom,
( skP1(u,v)
| convergent_lines(v,u) ),
file('GEO223+3.p',unknown),
[] ).
cnf(11,axiom,
( skP1(u,v)
| unorthogonal_lines(v,u) ),
file('GEO223+3.p',unknown),
[] ).
cnf(13,axiom,
( equal_lines(u,v)
| distinct_lines(u,v) ),
file('GEO223+3.p',unknown),
[] ).
cnf(14,axiom,
( parallel_lines(u,v)
| convergent_lines(u,v) ),
file('GEO223+3.p',unknown),
[] ).
cnf(17,axiom,
( ~ distinct_lines(u,v)
| convergent_lines(u,v) ),
file('GEO223+3.p',unknown),
[] ).
cnf(22,axiom,
( ~ convergent_lines(u,v)
| ~ parallel_lines(u,v) ),
file('GEO223+3.p',unknown),
[] ).
cnf(25,axiom,
~ equal_lines(parallel_through_point(skc2,skc3),orthogonal_through_point(orthogonal_through_point(skc2,skc3),skc3)),
file('GEO223+3.p',unknown),
[] ).
cnf(35,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
file('GEO223+3.p',unknown),
[] ).
cnf(37,axiom,
( ~ convergent_lines(u,v)
| unorthogonal_lines(w,v)
| unorthogonal_lines(w,u) ),
file('GEO223+3.p',unknown),
[] ).
cnf(41,axiom,
( ~ skP1(u,v)
| ~ skP1(w,v)
| skP1(u,w) ),
file('GEO223+3.p',unknown),
[] ).
cnf(42,axiom,
( ~ unorthogonal_lines(u,v)
| ~ convergent_lines(u,v)
| ~ skP1(v,u) ),
file('GEO223+3.p',unknown),
[] ).
cnf(48,plain,
distinct_lines(parallel_through_point(skc2,skc3),orthogonal_through_point(orthogonal_through_point(skc2,skc3),skc3)),
inference(res,[status(thm),theory(equality)],[13,25]),
[iquote('0:Res:13.1,25.0')] ).
cnf(55,plain,
skP1(u,orthogonal_through_point(u,v)),
inference(res,[status(thm),theory(equality)],[11,7]),
[iquote('0:Res:11.1,7.0')] ).
cnf(60,plain,
skP1(u,u),
inference(res,[status(thm),theory(equality)],[10,3]),
[iquote('0:Res:10.1,3.0')] ).
cnf(62,plain,
convergent_lines(orthogonal_through_point(u,v),u),
inference(res,[status(thm),theory(equality)],[9,7]),
[iquote('0:Res:9.0,7.0')] ).
cnf(76,plain,
( ~ distinct_lines(u,v)
| ~ parallel_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[17,22]),
[iquote('0:Res:17.1,22.0')] ).
cnf(83,plain,
~ parallel_lines(parallel_through_point(skc2,skc3),orthogonal_through_point(orthogonal_through_point(skc2,skc3),skc3)),
inference(res,[status(thm),theory(equality)],[48,76]),
[iquote('0:Res:48.0,76.0')] ).
cnf(116,plain,
( unorthogonal_lines(u,v)
| unorthogonal_lines(u,orthogonal_through_point(v,w)) ),
inference(res,[status(thm),theory(equality)],[62,37]),
[iquote('0:Res:62.0,37.0')] ).
cnf(120,plain,
unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(u,v),w),u),
inference(res,[status(thm),theory(equality)],[116,7]),
[iquote('0:Res:116.1,7.0')] ).
cnf(139,plain,
( parallel_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
inference(res,[status(thm),theory(equality)],[14,35]),
[iquote('0:Res:14.1,35.0')] ).
cnf(187,plain,
( ~ skP1(u,orthogonal_through_point(v,w))
| skP1(v,u) ),
inference(res,[status(thm),theory(equality)],[55,41]),
[iquote('0:Res:55.0,41.0')] ).
cnf(188,plain,
( ~ skP1(u,v)
| skP1(v,u) ),
inference(res,[status(thm),theory(equality)],[60,41]),
[iquote('0:Res:60.0,41.0')] ).
cnf(191,plain,
skP1(orthogonal_through_point(u,v),u),
inference(res,[status(thm),theory(equality)],[55,188]),
[iquote('0:Res:55.0,188.0')] ).
cnf(200,plain,
( ~ convergent_lines(orthogonal_through_point(orthogonal_through_point(u,v),w),u)
| ~ skP1(u,orthogonal_through_point(orthogonal_through_point(u,v),w)) ),
inference(res,[status(thm),theory(equality)],[120,42]),
[iquote('0:Res:120.0,42.0')] ).
cnf(218,plain,
skP1(u,orthogonal_through_point(orthogonal_through_point(u,v),w)),
inference(res,[status(thm),theory(equality)],[191,187]),
[iquote('0:Res:191.0,187.0')] ).
cnf(220,plain,
~ convergent_lines(orthogonal_through_point(orthogonal_through_point(u,v),w),u),
inference(mrr,[status(thm)],[200,218]),
[iquote('0:MRR:200.1,218.0')] ).
cnf(234,plain,
~ distinct_lines(orthogonal_through_point(orthogonal_through_point(u,v),w),u),
inference(res,[status(thm),theory(equality)],[17,220]),
[iquote('0:Res:17.1,220.0')] ).
cnf(370,plain,
( parallel_lines(parallel_through_point(u,v),w)
| distinct_lines(w,u) ),
inference(res,[status(thm),theory(equality)],[139,4]),
[iquote('0:Res:139.2,4.0')] ).
cnf(531,plain,
distinct_lines(orthogonal_through_point(orthogonal_through_point(skc2,skc3),skc3),skc2),
inference(res,[status(thm),theory(equality)],[370,83]),
[iquote('0:Res:370.0,83.0')] ).
cnf(532,plain,
$false,
inference(mrr,[status(thm)],[531,234]),
[iquote('0:MRR:531.0,234.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO223+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n003.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 18:32:58 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49
% 0.19/0.49 SPASS V 3.9
% 0.19/0.49 SPASS beiseite: Proof found.
% 0.19/0.49 % SZS status Theorem
% 0.19/0.49 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49 SPASS derived 480 clauses, backtracked 0 clauses, performed 0 splits and kept 336 clauses.
% 0.19/0.49 SPASS allocated 97941 KBytes.
% 0.19/0.49 SPASS spent 0:00:00.14 on the problem.
% 0.19/0.49 0:00:00.04 for the input.
% 0.19/0.49 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.49 0:00:00.01 for inferences.
% 0.19/0.49 0:00:00.00 for the backtracking.
% 0.19/0.49 0:00:00.04 for the reduction.
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 Here is a proof with depth 5, length 34 :
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 Formulae used in the proof : apart3 cp1 ooc1 coipo1 cotno1 ax2 a3 p1 con ceq3 couo1
% 0.19/0.49
%------------------------------------------------------------------------------