TSTP Solution File: GEO124+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO124+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 82.76s 83.02s
% Output : Refutation 82.76s
% 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,
start_point(skc3,skc5),
file('GEO124+1.p',unknown),
[] ).
cnf(2,axiom,
start_point(skc4,skc5),
file('GEO124+1.p',unknown),
[] ).
cnf(4,axiom,
~ equal(skc4,skc3),
file('GEO124+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ start_point(u,v)
| incident_o(u,v) ),
file('GEO124+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ equal(u,v)
| ~ between_c(w,u,x,v) ),
file('GEO124+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ ordered_by(u,v,w)
| ~ ordered_by(u,x,v)
| between_o(u,w,v,x) ),
file('GEO124+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ start_point(u,v)
| ~ incident_o(w,v)
| equal(u,w)
| ordered_by(v,u,w) ),
file('GEO124+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ between_o(u,v,w,x)
| between_c(skf41(u,x,w,v),v,w,x) ),
file('GEO124+1.p',unknown),
[] ).
cnf(90,plain,
incident_o(skc4,skc5),
inference(res,[status(thm),theory(equality)],[2,20]),
[iquote('0:Res:2.0,20.0')] ).
cnf(92,plain,
incident_o(skc3,skc5),
inference(res,[status(thm),theory(equality)],[1,20]),
[iquote('0:Res:1.0,20.0')] ).
cnf(94,plain,
( ~ start_point(skc4,u)
| ~ incident_o(skc3,u)
| ordered_by(u,skc4,skc3) ),
inference(res,[status(thm),theory(equality)],[63,4]),
[iquote('0:Res:63.2,4.0')] ).
cnf(107,plain,
( ~ start_point(skc3,u)
| ~ incident_o(skc4,u)
| ordered_by(u,skc3,skc4) ),
inference(res,[status(thm),theory(equality)],[63,4]),
[iquote('0:Res:63.2,4.0')] ).
cnf(120,plain,
( ~ incident_o(skc4,skc5)
| ordered_by(skc5,skc3,skc4) ),
inference(res,[status(thm),theory(equality)],[1,107]),
[iquote('0:Res:1.0,107.1')] ).
cnf(126,plain,
ordered_by(skc5,skc3,skc4),
inference(mrr,[status(thm)],[120,90]),
[iquote('0:MRR:120.0,90.0')] ).
cnf(462,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(781,plain,
( ~ ordered_by(u,v,w)
| ~ ordered_by(u,x,v)
| ~ equal(w,x) ),
inference(res,[status(thm),theory(equality)],[62,462]),
[iquote('0:Res:62.2,462.0')] ).
cnf(30843,plain,
( ~ ordered_by(skc5,u,skc3)
| ~ equal(skc4,u) ),
inference(res,[status(thm),theory(equality)],[126,781]),
[iquote('0:Res:126.0,781.0')] ).
cnf(30870,plain,
( ~ start_point(skc4,skc5)
| ~ incident_o(skc3,skc5)
| ~ equal(skc4,skc4) ),
inference(res,[status(thm),theory(equality)],[94,30843]),
[iquote('0:Res:94.2,30843.0')] ).
cnf(30877,plain,
( ~ start_point(skc4,skc5)
| ~ incident_o(skc3,skc5) ),
inference(obv,[status(thm),theory(equality)],[30870]),
[iquote('0:Obv:30870.2')] ).
cnf(30878,plain,
$false,
inference(mrr,[status(thm)],[30877,2,92]),
[iquote('0:MRR:30877.0,30877.1,2.0,92.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO124+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 13:02:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 82.76/83.02
% 82.76/83.02 SPASS V 3.9
% 82.76/83.02 SPASS beiseite: Proof found.
% 82.76/83.02 % SZS status Theorem
% 82.76/83.02 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 82.76/83.02 SPASS derived 28876 clauses, backtracked 0 clauses, performed 5 splits and kept 19370 clauses.
% 82.76/83.02 SPASS allocated 130579 KBytes.
% 82.76/83.02 SPASS spent 0:1:21.73 on the problem.
% 82.76/83.02 0:00:00.04 for the input.
% 82.76/83.02 0:00:00.08 for the FLOTTER CNF translation.
% 82.76/83.02 0:00:00.45 for inferences.
% 82.76/83.02 0:00:00.02 for the backtracking.
% 82.76/83.02 0:1:20.92 for the reduction.
% 82.76/83.02
% 82.76/83.02
% 82.76/83.02 Here is a proof with depth 4, length 20 :
% 82.76/83.02 % SZS output start Refutation
% See solution above
% 82.76/83.02 Formulae used in the proof : corollary_4_10_1 start_point_defn o4 between_c_defn part_of_defn between_o_defn o3
% 82.76/83.02
%------------------------------------------------------------------------------