TSTP Solution File: GEO606+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO606+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 06:25:29 EDT 2022
% Result : Theorem 28.65s 28.82s
% Output : Refutation 28.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 21
% Syntax : Number of clauses : 64 ( 22 unt; 2 nHn; 64 RR)
% Number of literals : 137 ( 0 equ; 72 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 16 ( 16 usr; 15 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(9,axiom,
perp(skc24,skc28,skc24,skc23),
file('GEO606+1.p',unknown),
[] ).
cnf(13,axiom,
~ perp(skc21,skc20,skc18,skc22),
file('GEO606+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO606+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO606+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO606+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO606+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO606+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO606+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ cong(u,v,u,w)
| eqangle(u,v,v,w,v,w,u,w) ),
file('GEO606+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO606+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO606+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO606+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO606+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO606+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO606+1.p',unknown),
[] ).
cnf(74,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO606+1.p',unknown),
[] ).
cnf(84,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO606+1.p',unknown),
[] ).
cnf(95,axiom,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| eqangle(u,x,w,x,w,x,w,v) ),
file('GEO606+1.p',unknown),
[] ).
cnf(97,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO606+1.p',unknown),
[] ).
cnf(100,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO606+1.p',unknown),
[] ).
cnf(126,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('GEO606+1.p',unknown),
[] ).
cnf(234,plain,
( ~ perp(skc24,skc23,u,v)
| para(skc24,skc28,u,v) ),
inference(res,[status(thm),theory(equality)],[9,49]),
[iquote('0:Res:9.0,49.0')] ).
cnf(236,plain,
perp(skc24,skc23,skc24,skc28),
inference(res,[status(thm),theory(equality)],[9,23]),
[iquote('0:Res:9.0,23.0')] ).
cnf(609,plain,
( ~ cong(u,u,u,v)
| para(u,u,u,v) ),
inference(res,[status(thm),theory(equality)],[42,38]),
[iquote('0:Res:42.1,38.0')] ).
cnf(611,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[40,38]),
[iquote('0:Res:40.1,38.0')] ).
cnf(1406,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[39,62]),
[iquote('0:Res:39.1,62.0')] ).
cnf(1452,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[39,60]),
[iquote('0:Res:39.1,60.0')] ).
cnf(2602,plain,
( ~ para(u,v,u,w)
| ~ cyclic(u,v,u,w)
| ~ cyclic(w,w,u,w)
| ~ cyclic(w,w,u,v)
| ~ cyclic(w,w,u,u)
| cong(w,w,w,v) ),
inference(res,[status(thm),theory(equality)],[95,126]),
[iquote('0:Res:95.2,126.3')] ).
cnf(2603,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)],[40,126]),
[iquote('0:Res:40.1,126.3')] ).
cnf(2605,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)],[2603]),
[iquote('0:Obv:2603.0')] ).
cnf(2606,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2605]),
[iquote('0:Con:2605.2')] ).
cnf(3469,plain,
( ~ perp(skc24,skc23,u,v)
| para(u,v,skc24,skc28) ),
inference(res,[status(thm),theory(equality)],[234,21]),
[iquote('0:Res:234.1,21.0')] ).
cnf(4540,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1406,67]),
[iquote('0:Res:1406.1,67.0')] ).
cnf(4551,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1406,84]),
[iquote('0:Res:1406.1,84.1')] ).
cnf(4566,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4551,4540]),
[iquote('0:MRR:4551.1,4540.1')] ).
cnf(4798,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1452,38]),
[iquote('0:Res:1452.1,38.0')] ).
cnf(23514,plain,
( ~ perp(skc24,skc23,skc24,skc28)
| cyclic(skc28,skc28,skc24,u) ),
inference(res,[status(thm),theory(equality)],[3469,4566]),
[iquote('0:Res:3469.1,4566.0')] ).
cnf(23523,plain,
cyclic(skc28,skc28,skc24,u),
inference(mrr,[status(thm)],[23514,236]),
[iquote('0:MRR:23514.0,236.0')] ).
cnf(23535,plain,
( ~ cyclic(skc28,skc28,skc24,u)
| cyclic(skc28,skc24,u,v) ),
inference(res,[status(thm),theory(equality)],[23523,52]),
[iquote('0:Res:23523.0,52.0')] ).
cnf(23539,plain,
para(skc24,skc28,skc24,skc28),
inference(res,[status(thm),theory(equality)],[23523,611]),
[iquote('0:Res:23523.0,611.0')] ).
cnf(23543,plain,
cyclic(skc28,skc24,u,v),
inference(mrr,[status(thm)],[23535,23523]),
[iquote('0:MRR:23535.0,23523.0')] ).
cnf(23561,plain,
para(skc24,skc28,skc28,skc24),
inference(res,[status(thm),theory(equality)],[23539,20]),
[iquote('0:Res:23539.0,20.0')] ).
cnf(23628,plain,
para(skc28,skc24,skc24,skc28),
inference(res,[status(thm),theory(equality)],[23561,21]),
[iquote('0:Res:23561.0,21.0')] ).
cnf(23720,plain,
para(skc28,skc24,skc28,skc24),
inference(res,[status(thm),theory(equality)],[23628,20]),
[iquote('0:Res:23628.0,20.0')] ).
cnf(23747,plain,
( ~ cyclic(skc28,skc24,skc28,skc24)
| ~ cyclic(skc24,skc24,skc28,skc24)
| ~ cyclic(skc24,skc24,skc28,skc24)
| ~ cyclic(skc24,skc24,skc28,skc28)
| cong(skc24,skc24,skc24,skc24) ),
inference(res,[status(thm),theory(equality)],[23720,2602]),
[iquote('0:Res:23720.0,2602.0')] ).
cnf(23762,plain,
cyclic(skc24,skc24,skc28,u),
inference(res,[status(thm),theory(equality)],[23720,4566]),
[iquote('0:Res:23720.0,4566.0')] ).
cnf(23775,plain,
( ~ cyclic(skc28,skc24,skc28,skc24)
| ~ cyclic(skc24,skc24,skc28,skc24)
| ~ cyclic(skc24,skc24,skc28,skc28)
| cong(skc24,skc24,skc24,skc24) ),
inference(obv,[status(thm),theory(equality)],[23747]),
[iquote('0:Obv:23747.1')] ).
cnf(23776,plain,
cong(skc24,skc24,skc24,skc24),
inference(mrr,[status(thm)],[23775,23543,23762]),
[iquote('0:MRR:23775.0,23775.1,23775.2,23543.0,23762.0,23762.0')] ).
cnf(23798,plain,
para(skc24,skc24,skc24,skc24),
inference(res,[status(thm),theory(equality)],[23776,609]),
[iquote('0:Res:23776.0,609.0')] ).
cnf(23956,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[23798,4798]),
[iquote('0:Res:23798.0,4798.0')] ).
cnf(23965,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4566,23956]),
[iquote('0:MRR:4566.0,23956.0')] ).
cnf(26182,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[23965,100]),
[iquote('0:Res:23965.0,100.0')] ).
cnf(26183,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[23965,52]),
[iquote('0:Res:23965.0,52.0')] ).
cnf(26234,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[26183,23965]),
[iquote('0:MRR:26183.0,23965.0')] ).
cnf(26238,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[126,26234]),
[iquote('0:MRR:126.2,126.1,126.0,26234.0')] ).
cnf(26253,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[74,26234]),
[iquote('0:MRR:74.1,26234.0')] ).
cnf(26255,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2606,26234]),
[iquote('0:MRR:2606.1,2606.0,26234.0')] ).
cnf(26484,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[26182,26255]),
[iquote('0:MRR:26182.0,26182.1,26255.0,26255.0')] ).
cnf(26490,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[97,26484]),
[iquote('0:MRR:97.0,26484.0')] ).
cnf(26556,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[26253,26484]),
[iquote('0:MRR:26253.0,26484.0')] ).
cnf(32735,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[26556,26490]),
[iquote('0:Res:26556.0,26490.0')] ).
cnf(44652,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[32735,26238]),
[iquote('0:Res:32735.0,26238.0')] ).
cnf(44673,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[54,44652]),
[iquote('0:MRR:54.1,54.0,44652.0')] ).
cnf(44687,plain,
$false,
inference(unc,[status(thm)],[44673,13]),
[iquote('0:UnC:44673.0,13.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO606+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 04:37:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 28.65/28.82
% 28.65/28.82 SPASS V 3.9
% 28.65/28.82 SPASS beiseite: Proof found.
% 28.65/28.82 % SZS status Theorem
% 28.65/28.82 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.65/28.82 SPASS derived 40192 clauses, backtracked 9721 clauses, performed 8 splits and kept 28319 clauses.
% 28.65/28.82 SPASS allocated 114032 KBytes.
% 28.65/28.82 SPASS spent 0:0:28.26 on the problem.
% 28.65/28.82 0:00:00.04 for the input.
% 28.65/28.82 0:00:00.21 for the FLOTTER CNF translation.
% 28.65/28.82 0:00:00.56 for inferences.
% 28.65/28.82 0:00:01.44 for the backtracking.
% 28.65/28.82 0:0:25.33 for the reduction.
% 28.65/28.82
% 28.65/28.82
% 28.65/28.82 Here is a proof with depth 10, length 64 :
% 28.65/28.82 % SZS output start Refutation
% See solution above
% 28.65/28.82 Formulae used in the proof : exemplo6GDDFULL618068 ruleD4 ruleD5 ruleD8 ruleD39 ruleD40 ruleD41 ruleD46 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD54 ruleD48 ruleD57 ruleD43
% 28.65/28.82
%------------------------------------------------------------------------------