TSTP Solution File: GEO125+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO125+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.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 06:22:32 EDT 2022
% Result : Theorem 98.53s 98.78s
% Output : Refutation 98.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 20 ( 7 unt; 1 nHn; 20 RR)
% Number of literals : 40 ( 0 equ; 26 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
finish_point(skc3,skc5),
file('GEO125+1.p',unknown),
[] ).
cnf(2,axiom,
finish_point(skc4,skc5),
file('GEO125+1.p',unknown),
[] ).
cnf(4,axiom,
~ equal(skc4,skc3),
file('GEO125+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ finish_point(u,v)
| incident_o(u,v) ),
file('GEO125+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ equal(u,v)
| ~ between_c(w,u,x,v) ),
file('GEO125+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ ordered_by(u,v,w)
| ~ ordered_by(u,x,v)
| between_o(u,w,v,x) ),
file('GEO125+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ finish_point(u,v)
| ~ incident_o(w,v)
| equal(u,w)
| ordered_by(v,w,u) ),
file('GEO125+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ between_o(u,v,w,x)
| between_c(skf41(u,x,w,v),v,w,x) ),
file('GEO125+1.p',unknown),
[] ).
cnf(90,plain,
incident_o(skc4,skc5),
inference(res,[status(thm),theory(equality)],[2,21]),
[iquote('0:Res:2.0,21.0')] ).
cnf(92,plain,
incident_o(skc3,skc5),
inference(res,[status(thm),theory(equality)],[1,21]),
[iquote('0:Res:1.0,21.0')] ).
cnf(95,plain,
( ~ finish_point(skc4,u)
| ~ incident_o(skc3,u)
| ordered_by(u,skc3,skc4) ),
inference(res,[status(thm),theory(equality)],[64,4]),
[iquote('0:Res:64.2,4.0')] ).
cnf(108,plain,
( ~ finish_point(skc3,u)
| ~ incident_o(skc4,u)
| ordered_by(u,skc4,skc3) ),
inference(res,[status(thm),theory(equality)],[64,4]),
[iquote('0:Res:64.2,4.0')] ).
cnf(120,plain,
( ~ incident_o(skc4,skc5)
| ordered_by(skc5,skc4,skc3) ),
inference(res,[status(thm),theory(equality)],[1,108]),
[iquote('0:Res:1.0,108.1')] ).
cnf(126,plain,
ordered_by(skc5,skc4,skc3),
inference(mrr,[status(thm)],[120,90]),
[iquote('0:MRR:120.0,90.0')] ).
cnf(463,plain,
( ~ between_o(u,v,w,x)
| ~ equal(v,x) ),
inference(res,[status(thm),theory(equality)],[65,36]),
[iquote('0:Res:65.1,36.1')] ).
cnf(782,plain,
( ~ ordered_by(u,v,w)
| ~ ordered_by(u,x,v)
| ~ equal(w,x) ),
inference(res,[status(thm),theory(equality)],[62,463]),
[iquote('0:Res:62.2,463.0')] ).
cnf(35391,plain,
( ~ ordered_by(skc5,u,skc4)
| ~ equal(skc3,u) ),
inference(res,[status(thm),theory(equality)],[126,782]),
[iquote('0:Res:126.0,782.0')] ).
cnf(35743,plain,
( ~ finish_point(skc4,skc5)
| ~ incident_o(skc3,skc5)
| ~ equal(skc3,skc3) ),
inference(res,[status(thm),theory(equality)],[95,35391]),
[iquote('0:Res:95.2,35391.0')] ).
cnf(35748,plain,
( ~ finish_point(skc4,skc5)
| ~ incident_o(skc3,skc5) ),
inference(obv,[status(thm),theory(equality)],[35743]),
[iquote('0:Obv:35743.2')] ).
cnf(35749,plain,
$false,
inference(mrr,[status(thm)],[35748,2,92]),
[iquote('0:MRR:35748.0,35748.1,2.0,92.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO125+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 17 20:44:07 EDT 2022
% 0.13/0.35 % CPUTime :
% 98.53/98.78
% 98.53/98.78 SPASS V 3.9
% 98.53/98.78 SPASS beiseite: Proof found.
% 98.53/98.78 % SZS status Theorem
% 98.53/98.78 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 98.53/98.78 SPASS derived 33414 clauses, backtracked 0 clauses, performed 5 splits and kept 21905 clauses.
% 98.53/98.78 SPASS allocated 133679 KBytes.
% 98.53/98.78 SPASS spent 0:1:37.23 on the problem.
% 98.53/98.78 0:00:00.04 for the input.
% 98.53/98.78 0:00:00.08 for the FLOTTER CNF translation.
% 98.53/98.78 0:00:00.50 for inferences.
% 98.53/98.78 0:00:00.03 for the backtracking.
% 98.53/98.78 0:1:36.34 for the reduction.
% 98.53/98.78
% 98.53/98.78
% 98.53/98.78 Here is a proof with depth 4, length 20 :
% 98.53/98.78 % SZS output start Refutation
% See solution above
% 98.53/98.78 Formulae used in the proof : corollary_4_10_2 finish_point_defn o4 start_point_defn between_c_defn part_of_defn between_o_defn o3
% 98.53/98.78
%------------------------------------------------------------------------------