TSTP Solution File: GEO126-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO126-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 06:22:33 EDT 2022
% Result : Unsatisfiable 0.42s 0.62s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 26 ( 12 unt; 2 nHn; 26 RR)
% Number of literals : 45 ( 0 equ; 20 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ ordered_by(sk25,u,v)
| equal(u,v) ),
file('GEO126-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ end_point(u,v)
| incident_c(u,v) ),
file('GEO126-1.p',unknown),
[] ).
cnf(22,axiom,
( ~ inner_point(u,v)
| incident_c(u,v) ),
file('GEO126-1.p',unknown),
[] ).
cnf(23,axiom,
( ~ end_point(u,v)
| ~ inner_point(u,v) ),
file('GEO126-1.p',unknown),
[] ).
cnf(34,axiom,
( ~ open(u)
| end_point(ax0_sk7(u),u) ),
file('GEO126-1.p',unknown),
[] ).
cnf(38,axiom,
inner_point(ax0_sk8(u),u),
file('GEO126-1.p',unknown),
[] ).
cnf(63,axiom,
( ~ incident_o(u,v)
| ~ start_point(w,v)
| equal(w,u)
| ordered_by(v,w,u) ),
file('GEO126-1.p',unknown),
[] ).
cnf(74,axiom,
open(ax2_sk3(u)),
file('GEO126-1.p',unknown),
[] ).
cnf(76,axiom,
( ~ incident_c(u,ax2_sk3(v))
| incident_o(u,v) ),
file('GEO126-1.p',unknown),
[] ).
cnf(84,axiom,
start_point(ax2_sk6(u),u),
file('GEO126-1.p',unknown),
[] ).
cnf(104,plain,
incident_c(ax0_sk8(u),u),
inference(res,[status(thm),theory(equality)],[38,22]),
[iquote('0:Res:38.0,22.0')] ).
cnf(106,plain,
( ~ open(u)
| incident_c(ax0_sk7(u),u) ),
inference(res,[status(thm),theory(equality)],[34,14]),
[iquote('0:Res:34.1,14.0')] ).
cnf(108,plain,
incident_o(ax0_sk8(ax2_sk3(u)),u),
inference(res,[status(thm),theory(equality)],[104,76]),
[iquote('0:Res:104.0,76.0')] ).
cnf(110,plain,
( ~ open(ax2_sk3(u))
| incident_o(ax0_sk7(ax2_sk3(u)),u) ),
inference(res,[status(thm),theory(equality)],[106,76]),
[iquote('0:Res:106.1,76.0')] ).
cnf(111,plain,
incident_o(ax0_sk7(ax2_sk3(u)),u),
inference(ssi,[status(thm)],[110,74]),
[iquote('0:SSi:110.0,74.0')] ).
cnf(112,plain,
~ end_point(ax0_sk8(u),u),
inference(res,[status(thm),theory(equality)],[38,23]),
[iquote('0:Res:38.0,23.1')] ).
cnf(1203,plain,
( ~ incident_o(u,sk25)
| ~ start_point(v,sk25)
| equal(v,u)
| equal(v,u) ),
inference(res,[status(thm),theory(equality)],[63,1]),
[iquote('0:Res:63.3,1.0')] ).
cnf(1208,plain,
( ~ incident_o(u,sk25)
| ~ start_point(v,sk25)
| equal(v,u) ),
inference(obv,[status(thm),theory(equality)],[1203]),
[iquote('0:Obv:1203.2')] ).
cnf(1400,plain,
( ~ start_point(u,sk25)
| equal(u,ax0_sk8(ax2_sk3(sk25))) ),
inference(res,[status(thm),theory(equality)],[108,1208]),
[iquote('0:Res:108.0,1208.0')] ).
cnf(1402,plain,
( ~ start_point(u,sk25)
| equal(u,ax0_sk7(ax2_sk3(sk25))) ),
inference(res,[status(thm),theory(equality)],[111,1208]),
[iquote('0:Res:111.0,1208.0')] ).
cnf(1409,plain,
equal(ax0_sk8(ax2_sk3(sk25)),ax2_sk6(sk25)),
inference(res,[status(thm),theory(equality)],[84,1400]),
[iquote('0:Res:84.0,1400.0')] ).
cnf(1442,plain,
~ end_point(ax2_sk6(sk25),ax2_sk3(sk25)),
inference(spl,[status(thm),theory(equality)],[1409,112]),
[iquote('0:SpL:1409.0,112.0')] ).
cnf(1599,plain,
equal(ax0_sk7(ax2_sk3(sk25)),ax2_sk6(sk25)),
inference(res,[status(thm),theory(equality)],[84,1402]),
[iquote('0:Res:84.0,1402.0')] ).
cnf(1610,plain,
( ~ open(ax2_sk3(sk25))
| end_point(ax2_sk6(sk25),ax2_sk3(sk25)) ),
inference(spr,[status(thm),theory(equality)],[1599,34]),
[iquote('0:SpR:1599.0,34.1')] ).
cnf(1623,plain,
end_point(ax2_sk6(sk25),ax2_sk3(sk25)),
inference(ssi,[status(thm)],[1610,74]),
[iquote('0:SSi:1610.0,74.0')] ).
cnf(1624,plain,
$false,
inference(mrr,[status(thm)],[1623,1442]),
[iquote('0:MRR:1623.0,1442.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO126-1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.15 % Command : run_spass %d %s
% 0.15/0.36 % Computer : n029.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 04:19:58 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.42/0.62
% 0.42/0.62 SPASS V 3.9
% 0.42/0.62 SPASS beiseite: Proof found.
% 0.42/0.62 % SZS status Theorem
% 0.42/0.62 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.62 SPASS derived 1361 clauses, backtracked 0 clauses, performed 4 splits and kept 631 clauses.
% 0.42/0.62 SPASS allocated 76879 KBytes.
% 0.42/0.62 SPASS spent 0:00:00.23 on the problem.
% 0.42/0.62 0:00:00.04 for the input.
% 0.42/0.62 0:00:00.00 for the FLOTTER CNF translation.
% 0.42/0.62 0:00:00.02 for inferences.
% 0.42/0.62 0:00:00.00 for the backtracking.
% 0.42/0.62 0:00:00.14 for the reduction.
% 0.42/0.62
% 0.42/0.62
% 0.42/0.62 Here is a proof with depth 5, length 26 :
% 0.42/0.62 % SZS output start Refutation
% See solution above
% 0.42/0.62 Formulae used in the proof : theorem_4_11_133 end_point_defn_13 inner_point_defn_21 inner_point_defn_22 open_defn_33 c3_37 start_point_defn_8 o2_19 o2_21 o4_29
% 0.42/0.62
%------------------------------------------------------------------------------