TSTP Solution File: GEO094-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO094-1 : TPTP v8.1.0. Released v2.4.0.
% 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 06:22:16 EDT 2022
% Result : Unsatisfiable 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of clauses : 41 ( 15 unt; 5 nHn; 41 RR)
% Number of literals : 92 ( 0 equ; 54 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
meet(sk17,sk15,sk16),
file('GEO094-1.p',unknown),
[] ).
cnf(2,axiom,
part_of(sk15,sk14),
file('GEO094-1.p',unknown),
[] ).
cnf(3,axiom,
part_of(sk16,sk14),
file('GEO094-1.p',unknown),
[] ).
cnf(4,axiom,
end_point(sk17,sk14),
file('GEO094-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ incident_c(u,v)
| ~ part_of(v,w)
| incident_c(u,w) ),
file('GEO094-1.p',unknown),
[] ).
cnf(6,axiom,
( part_of(u,v)
| incident_c(ax0_sk1(u,v),u) ),
file('GEO094-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ incident_c(ax0_sk1(u,v),v)
| part_of(u,v) ),
file('GEO094-1.p',unknown),
[] ).
cnf(17,axiom,
( ~ end_point(u,v)
| incident_c(u,v) ),
file('GEO094-1.p',unknown),
[] ).
cnf(18,axiom,
( ~ incident_c(u,v)
| ~ incident_c(u,w)
| ~ part_of(v,x)
| ~ part_of(w,x)
| ~ end_point(u,x)
| part_of(v,w)
| part_of(w,v) ),
file('GEO094-1.p',unknown),
[] ).
cnf(25,axiom,
( ~ inner_point(u,v)
| incident_c(u,v) ),
file('GEO094-1.p',unknown),
[] ).
cnf(26,axiom,
( ~ end_point(u,v)
| ~ inner_point(u,v) ),
file('GEO094-1.p',unknown),
[] ).
cnf(28,axiom,
( ~ meet(u,v,w)
| incident_c(u,v) ),
file('GEO094-1.p',unknown),
[] ).
cnf(29,axiom,
( ~ meet(u,v,w)
| incident_c(u,w) ),
file('GEO094-1.p',unknown),
[] ).
cnf(30,axiom,
( ~ incident_c(u,v)
| ~ incident_c(u,w)
| ~ meet(x,w,v)
| end_point(u,w) ),
file('GEO094-1.p',unknown),
[] ).
cnf(31,axiom,
( ~ incident_c(u,v)
| ~ incident_c(u,w)
| ~ meet(x,w,v)
| end_point(u,v) ),
file('GEO094-1.p',unknown),
[] ).
cnf(41,axiom,
inner_point(ax0_sk8(u),u),
file('GEO094-1.p',unknown),
[] ).
cnf(73,plain,
( ~ incident_c(u,v)
| ~ incident_c(u,sk16)
| ~ part_of(v,sk14)
| ~ end_point(u,sk14)
| part_of(v,sk16)
| part_of(sk16,v) ),
inference(res,[status(thm),theory(equality)],[3,18]),
[iquote('0:Res:3.0,18.2')] ).
cnf(81,plain,
( ~ incident_c(u,sk16)
| ~ incident_c(u,sk15)
| end_point(u,sk15) ),
inference(res,[status(thm),theory(equality)],[1,30]),
[iquote('0:Res:1.0,30.0')] ).
cnf(82,plain,
( ~ incident_c(u,sk16)
| ~ incident_c(u,sk15)
| end_point(u,sk16) ),
inference(res,[status(thm),theory(equality)],[1,31]),
[iquote('0:Res:1.0,31.0')] ).
cnf(84,plain,
incident_c(sk17,sk15),
inference(res,[status(thm),theory(equality)],[1,28]),
[iquote('0:Res:1.0,28.0')] ).
cnf(85,plain,
incident_c(sk17,sk16),
inference(res,[status(thm),theory(equality)],[1,29]),
[iquote('0:Res:1.0,29.0')] ).
cnf(90,plain,
( ~ incident_c(u,sk16)
| ~ incident_c(u,sk15)
| ~ end_point(u,sk14)
| part_of(sk16,sk15)
| part_of(sk15,sk16) ),
inference(res,[status(thm),theory(equality)],[2,73]),
[iquote('0:Res:2.0,73.1')] ).
cnf(186,plain,
incident_c(ax0_sk8(u),u),
inference(res,[status(thm),theory(equality)],[41,25]),
[iquote('0:Res:41.0,25.0')] ).
cnf(191,plain,
~ end_point(ax0_sk8(u),u),
inference(res,[status(thm),theory(equality)],[41,26]),
[iquote('0:Res:41.0,26.1')] ).
cnf(285,plain,
( part_of(u,u)
| part_of(u,u) ),
inference(res,[status(thm),theory(equality)],[6,7]),
[iquote('0:Res:6.1,7.0')] ).
cnf(286,plain,
part_of(u,u),
inference(obv,[status(thm),theory(equality)],[285]),
[iquote('0:Obv:285.0')] ).
cnf(307,plain,
( ~ incident_c(ax0_sk8(sk16),sk15)
| end_point(ax0_sk8(sk16),sk16) ),
inference(res,[status(thm),theory(equality)],[186,82]),
[iquote('0:Res:186.0,82.0')] ).
cnf(310,plain,
~ incident_c(ax0_sk8(sk16),sk15),
inference(mrr,[status(thm)],[307,191]),
[iquote('0:MRR:307.1,191.0')] ).
cnf(312,plain,
( ~ part_of(sk16,u)
| incident_c(sk17,u) ),
inference(res,[status(thm),theory(equality)],[85,5]),
[iquote('0:Res:85.0,5.0')] ).
cnf(317,plain,
( ~ part_of(u,v)
| incident_c(ax0_sk8(u),v) ),
inference(res,[status(thm),theory(equality)],[186,5]),
[iquote('0:Res:186.0,5.0')] ).
cnf(335,plain,
( ~ part_of(u,sk16)
| ~ incident_c(ax0_sk8(u),sk15)
| end_point(ax0_sk8(u),sk16) ),
inference(res,[status(thm),theory(equality)],[317,82]),
[iquote('0:Res:317.1,82.0')] ).
cnf(336,plain,
~ part_of(sk16,sk15),
inference(res,[status(thm),theory(equality)],[317,310]),
[iquote('0:Res:317.1,310.0')] ).
cnf(337,plain,
( ~ incident_c(u,sk16)
| ~ incident_c(u,sk15)
| ~ end_point(u,sk14)
| part_of(sk15,sk16) ),
inference(mrr,[status(thm)],[90,336]),
[iquote('0:MRR:90.3,336.0')] ).
cnf(344,plain,
( ~ end_point(u,sk16)
| ~ incident_c(u,sk15)
| end_point(u,sk15) ),
inference(res,[status(thm),theory(equality)],[17,81]),
[iquote('0:Res:17.1,81.0')] ).
cnf(362,plain,
( ~ end_point(ax0_sk8(sk15),sk16)
| end_point(ax0_sk8(sk15),sk15) ),
inference(res,[status(thm),theory(equality)],[186,344]),
[iquote('0:Res:186.0,344.1')] ).
cnf(368,plain,
~ end_point(ax0_sk8(sk15),sk16),
inference(mrr,[status(thm)],[362,191]),
[iquote('0:MRR:362.1,191.0')] ).
cnf(591,plain,
( ~ part_of(sk15,sk16)
| end_point(ax0_sk8(sk15),sk16) ),
inference(res,[status(thm),theory(equality)],[186,335]),
[iquote('0:Res:186.0,335.1')] ).
cnf(597,plain,
~ part_of(sk15,sk16),
inference(mrr,[status(thm)],[591,368]),
[iquote('0:MRR:591.1,368.0')] ).
cnf(598,plain,
( ~ incident_c(u,sk16)
| ~ incident_c(u,sk15)
| ~ end_point(u,sk14) ),
inference(mrr,[status(thm)],[337,597]),
[iquote('0:MRR:337.3,597.0')] ).
cnf(617,plain,
( ~ part_of(sk16,sk16)
| ~ incident_c(sk17,sk15)
| ~ end_point(sk17,sk14) ),
inference(res,[status(thm),theory(equality)],[312,598]),
[iquote('0:Res:312.1,598.0')] ).
cnf(631,plain,
$false,
inference(mrr,[status(thm)],[617,286,84,4]),
[iquote('0:MRR:617.0,617.1,617.2,286.0,84.0,4.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO094-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.14 % 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 : Fri Jun 17 22:29:55 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.21/0.52
% 0.21/0.52 SPASS V 3.9
% 0.21/0.52 SPASS beiseite: Proof found.
% 0.21/0.52 % SZS status Theorem
% 0.21/0.52 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.52 SPASS derived 499 clauses, backtracked 84 clauses, performed 5 splits and kept 385 clauses.
% 0.21/0.52 SPASS allocated 76089 KBytes.
% 0.21/0.52 SPASS spent 0:00:00.15 on the problem.
% 0.21/0.52 0:00:00.04 for the input.
% 0.21/0.52 0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.52 0:00:00.01 for inferences.
% 0.21/0.52 0:00:00.00 for the backtracking.
% 0.21/0.52 0:00:00.07 for the reduction.
% 0.21/0.52
% 0.21/0.52
% 0.21/0.52 Here is a proof with depth 4, length 41 :
% 0.21/0.52 % SZS output start Refutation
% See solution above
% 0.21/0.52 Formulae used in the proof : proposition_2_14_3_67 proposition_2_14_3_68 proposition_2_14_3_69 proposition_2_14_3_70 part_of_defn_1 part_of_defn_2 part_of_defn_3 end_point_defn_13 end_point_defn_14 inner_point_defn_21 inner_point_defn_22 meet_defn_24 meet_defn_25 meet_defn_26 meet_defn_27 c3_37
% 0.21/0.52
%------------------------------------------------------------------------------