TSTP Solution File: GEO558+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO558+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 06:25:13 EDT 2022
% Result : Theorem 24.78s 25.03s
% Output : Refutation 24.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of clauses : 36 ( 11 unt; 2 nHn; 36 RR)
% Number of literals : 79 ( 0 equ; 42 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 15 ( 15 usr; 14 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
circle(skc19,skc18,skc14,skc20),
file('GEO558+1.p',unknown),
[] ).
cnf(9,axiom,
~ perp(skc13,skc14,skc14,skc12),
file('GEO558+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO558+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ circle(u,v,w,x)
| perp(skf31(u,v),v,v,u) ),
file('GEO558+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO558+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO558+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO558+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO558+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO558+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO558+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO558+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO558+1.p',unknown),
[] ).
cnf(80,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO558+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO558+1.p',unknown),
[] ).
cnf(122,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| ~ cyclic(u,v,w,z)
| ~ eqangle(w,u,w,v,z,x,z,y)
| cong(u,v,x,y) ),
file('GEO558+1.p',unknown),
[] ).
cnf(204,plain,
perp(skf31(skc19,skc18),skc18,skc18,skc19),
inference(res,[status(thm),theory(equality)],[5,26]),
[iquote('0:Res:5.0,26.0')] ).
cnf(322,plain,
perp(skc18,skc19,skf31(skc19,skc18),skc18),
inference(res,[status(thm),theory(equality)],[204,19]),
[iquote('0:Res:204.0,19.0')] ).
cnf(765,plain,
( ~ perp(u,v,skf31(skc19,skc18),skc18)
| para(u,v,skc18,skc19) ),
inference(res,[status(thm),theory(equality)],[204,45]),
[iquote('0:Res:204.0,45.0')] ).
cnf(1291,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[35,58]),
[iquote('0:Res:35.1,58.0')] ).
cnf(1323,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[35,56]),
[iquote('0:Res:35.1,56.0')] ).
cnf(3135,plain,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| ~ cyclic(u,v,w,x)
| cong(u,v,u,v) ),
inference(res,[status(thm),theory(equality)],[36,122]),
[iquote('0:Res:36.1,122.3')] ).
cnf(3137,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| ~ cyclic(u,v,w,x)
| cong(u,v,u,v) ),
inference(obv,[status(thm),theory(equality)],[3135]),
[iquote('0:Obv:3135.0')] ).
cnf(3138,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3137]),
[iquote('0:Con:3137.2')] ).
cnf(4709,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1291,63]),
[iquote('0:Res:1291.1,63.0')] ).
cnf(4720,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1291,80]),
[iquote('0:Res:1291.1,80.1')] ).
cnf(4734,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4720,4709]),
[iquote('0:MRR:4720.1,4709.1')] ).
cnf(4931,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1323,34]),
[iquote('0:Res:1323.1,34.0')] ).
cnf(16372,plain,
para(skc18,skc19,skc18,skc19),
inference(res,[status(thm),theory(equality)],[322,765]),
[iquote('0:Res:322.0,765.0')] ).
cnf(16390,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[16372,4931]),
[iquote('0:Res:16372.0,4931.0')] ).
cnf(16407,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4734,16390]),
[iquote('0:MRR:4734.0,16390.0')] ).
cnf(19424,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[16407,96]),
[iquote('0:Res:16407.0,96.0')] ).
cnf(19425,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[16407,48]),
[iquote('0:Res:16407.0,48.0')] ).
cnf(19708,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[19425,16407]),
[iquote('0:MRR:19425.0,16407.0')] ).
cnf(19729,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[3138,19708]),
[iquote('0:MRR:3138.1,3138.0,19708.0')] ).
cnf(19964,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[19424,19729]),
[iquote('0:MRR:19424.0,19424.1,19729.0,19729.0')] ).
cnf(19965,plain,
$false,
inference(unc,[status(thm)],[19964,9]),
[iquote('0:UnC:19964.0,9.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : GEO558+1 : TPTP v8.1.0. Released v7.5.0.
% 0.02/0.13 % Command : run_spass %d %s
% 0.09/0.32 % Computer : n015.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 600
% 0.09/0.32 % DateTime : Sat Jun 18 17:16:13 EDT 2022
% 0.09/0.32 % CPUTime :
% 24.78/25.03
% 24.78/25.03 SPASS V 3.9
% 24.78/25.03 SPASS beiseite: Proof found.
% 24.78/25.03 % SZS status Theorem
% 24.78/25.03 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.78/25.03 SPASS derived 18612 clauses, backtracked 0 clauses, performed 6 splits and kept 10820 clauses.
% 24.78/25.03 SPASS allocated 99452 KBytes.
% 24.78/25.03 SPASS spent 0:0:24.50 on the problem.
% 24.78/25.03 0:00:00.02 for the input.
% 24.78/25.03 0:00:00.20 for the FLOTTER CNF translation.
% 24.78/25.03 0:00:00.59 for inferences.
% 24.78/25.03 0:00:00.01 for the backtracking.
% 24.78/25.03 0:0:23.07 for the reduction.
% 24.78/25.03
% 24.78/25.03
% 24.78/25.03 Here is a proof with depth 4, length 36 :
% 24.78/25.03 % SZS output start Refutation
% See solution above
% 24.78/25.03 Formulae used in the proof : exemplo6GDDFULL012018 ruleD8 ruleX11 ruleD39 ruleD40 ruleD41 ruleD9 ruleD17 ruleD19 ruleD21 ruleD42a ruleD42b ruleD57 ruleD43
% 24.78/25.03
%------------------------------------------------------------------------------