TSTP Solution File: GEO127-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO127-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 0.18s 0.41s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of clauses : 35 ( 17 unt; 3 nHn; 35 RR)
% Number of literals : 58 ( 0 equ; 25 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 : 10 ( 10 usr; 6 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( incident_o(sk26,sk25)
| ordered_by(sk25,sk26,sk27)
| ordered_by(sk25,sk27,sk26) ),
file('GEO127-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ ordered_by(sk25,sk26,u)
| ~ incident_o(sk26,sk25) ),
file('GEO127-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ ordered_by(sk25,u,sk26)
| ~ incident_o(sk26,sk25) ),
file('GEO127-1.p',unknown),
[] ).
cnf(19,axiom,
( ~ end_point(u,v)
| incident_c(u,v) ),
file('GEO127-1.p',unknown),
[] ).
cnf(27,axiom,
( ~ inner_point(u,v)
| incident_c(u,v) ),
file('GEO127-1.p',unknown),
[] ).
cnf(28,axiom,
( ~ end_point(u,v)
| ~ inner_point(u,v) ),
file('GEO127-1.p',unknown),
[] ).
cnf(39,axiom,
( ~ open(u)
| end_point(ax0_sk7(u),u) ),
file('GEO127-1.p',unknown),
[] ).
cnf(43,axiom,
inner_point(ax0_sk8(u),u),
file('GEO127-1.p',unknown),
[] ).
cnf(68,axiom,
( ~ incident_o(u,v)
| ~ start_point(w,v)
| equal(w,u)
| ordered_by(v,w,u) ),
file('GEO127-1.p',unknown),
[] ).
cnf(77,axiom,
( ~ ordered_by(u,v,w)
| incident_o(v,u) ),
file('GEO127-1.p',unknown),
[] ).
cnf(78,axiom,
( ~ ordered_by(u,v,w)
| incident_o(w,u) ),
file('GEO127-1.p',unknown),
[] ).
cnf(79,axiom,
open(ax2_sk3(u)),
file('GEO127-1.p',unknown),
[] ).
cnf(81,axiom,
( ~ incident_c(u,ax2_sk3(v))
| incident_o(u,v) ),
file('GEO127-1.p',unknown),
[] ).
cnf(89,axiom,
start_point(ax2_sk6(u),u),
file('GEO127-1.p',unknown),
[] ).
cnf(103,plain,
~ ordered_by(sk25,u,sk26),
inference(mrr,[status(thm)],[6,78]),
[iquote('0:MRR:6.1,78.1')] ).
cnf(104,plain,
~ ordered_by(sk25,sk26,u),
inference(mrr,[status(thm)],[5,77]),
[iquote('0:MRR:5.1,77.1')] ).
cnf(105,plain,
incident_o(sk26,sk25),
inference(mrr,[status(thm)],[1,104,103]),
[iquote('0:MRR:1.1,1.2,104.0,103.0')] ).
cnf(113,plain,
( ~ start_point(u,sk25)
| equal(u,sk26)
| ordered_by(sk25,u,sk26) ),
inference(res,[status(thm),theory(equality)],[105,68]),
[iquote('0:Res:105.0,68.1')] ).
cnf(136,plain,
( ~ incident_o(u,sk25)
| ~ start_point(sk26,sk25)
| equal(sk26,u) ),
inference(res,[status(thm),theory(equality)],[68,104]),
[iquote('0:Res:68.3,104.0')] ).
cnf(140,plain,
( ~ start_point(u,sk25)
| equal(u,sk26) ),
inference(mrr,[status(thm)],[113,103]),
[iquote('0:MRR:113.2,103.0')] ).
cnf(144,plain,
equal(ax2_sk6(sk25),sk26),
inference(res,[status(thm),theory(equality)],[89,140]),
[iquote('0:Res:89.0,140.0')] ).
cnf(145,plain,
start_point(sk26,sk25),
inference(spr,[status(thm),theory(equality)],[144,89]),
[iquote('0:SpR:144.0,89.0')] ).
cnf(147,plain,
( ~ incident_o(u,sk25)
| equal(sk26,u) ),
inference(mrr,[status(thm)],[136,145]),
[iquote('0:MRR:136.1,145.0')] ).
cnf(156,plain,
incident_c(ax0_sk8(u),u),
inference(res,[status(thm),theory(equality)],[43,27]),
[iquote('0:Res:43.0,27.0')] ).
cnf(158,plain,
( ~ open(u)
| incident_c(ax0_sk7(u),u) ),
inference(res,[status(thm),theory(equality)],[39,19]),
[iquote('0:Res:39.1,19.0')] ).
cnf(165,plain,
incident_o(ax0_sk8(ax2_sk3(u)),u),
inference(res,[status(thm),theory(equality)],[156,81]),
[iquote('0:Res:156.0,81.0')] ).
cnf(167,plain,
( ~ open(ax2_sk3(u))
| incident_o(ax0_sk7(ax2_sk3(u)),u) ),
inference(res,[status(thm),theory(equality)],[158,81]),
[iquote('0:Res:158.1,81.0')] ).
cnf(169,plain,
incident_o(ax0_sk7(ax2_sk3(u)),u),
inference(ssi,[status(thm)],[167,79]),
[iquote('0:SSi:167.0,79.0')] ).
cnf(171,plain,
equal(ax0_sk8(ax2_sk3(sk25)),sk26),
inference(res,[status(thm),theory(equality)],[165,147]),
[iquote('0:Res:165.0,147.0')] ).
cnf(172,plain,
inner_point(sk26,ax2_sk3(sk25)),
inference(spr,[status(thm),theory(equality)],[171,43]),
[iquote('0:SpR:171.0,43.0')] ).
cnf(176,plain,
~ end_point(sk26,ax2_sk3(sk25)),
inference(res,[status(thm),theory(equality)],[172,28]),
[iquote('0:Res:172.0,28.1')] ).
cnf(179,plain,
equal(ax0_sk7(ax2_sk3(sk25)),sk26),
inference(res,[status(thm),theory(equality)],[169,147]),
[iquote('0:Res:169.0,147.0')] ).
cnf(180,plain,
( ~ open(ax2_sk3(sk25))
| end_point(sk26,ax2_sk3(sk25)) ),
inference(spr,[status(thm),theory(equality)],[179,39]),
[iquote('0:SpR:179.0,39.1')] ).
cnf(184,plain,
end_point(sk26,ax2_sk3(sk25)),
inference(ssi,[status(thm)],[180,79]),
[iquote('0:SSi:180.0,79.0')] ).
cnf(185,plain,
$false,
inference(mrr,[status(thm)],[184,176]),
[iquote('0:MRR:184.0,176.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO127-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.11 % Command : run_spass %d %s
% 0.12/0.32 % Computer : n025.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sat Jun 18 06:47:12 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.18/0.41
% 0.18/0.41 SPASS V 3.9
% 0.18/0.41 SPASS beiseite: Proof found.
% 0.18/0.41 % SZS status Theorem
% 0.18/0.41 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.41 SPASS derived 69 clauses, backtracked 0 clauses, performed 0 splits and kept 123 clauses.
% 0.18/0.41 SPASS allocated 75774 KBytes.
% 0.18/0.41 SPASS spent 0:00:00.08 on the problem.
% 0.18/0.41 0:00:00.04 for the input.
% 0.18/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.41 0:00:00.00 for inferences.
% 0.18/0.41 0:00:00.00 for the backtracking.
% 0.18/0.41 0:00:00.01 for the reduction.
% 0.18/0.41
% 0.18/0.41
% 0.18/0.41 Here is a proof with depth 5, length 35 :
% 0.18/0.41 % SZS output start Refutation
% See solution above
% 0.18/0.41 Formulae used in the proof : theorem_4_12_133 theorem_4_12_137 theorem_4_12_138 end_point_defn_13 inner_point_defn_21 inner_point_defn_22 open_defn_33 c3_37 start_point_defn_8 o1_17 o1_18 o2_19 o2_21 o4_29
% 0.18/0.41
%------------------------------------------------------------------------------