TSTP Solution File: GEO654+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO654+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n005.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 06:25:44 EDT 2022
% Result : Theorem 17.47s 17.63s
% Output : Refutation 17.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 27
% Syntax : Number of clauses : 82 ( 30 unt; 2 nHn; 82 RR)
% Number of literals : 159 ( 0 equ; 76 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 14 ( 14 usr; 14 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
coll(skc23,skc17,skc19),
file('GEO654+1.p',unknown),
[] ).
cnf(10,axiom,
perp(skc22,skc17,skc17,skc20),
file('GEO654+1.p',unknown),
[] ).
cnf(11,axiom,
~ para(skc20,skc17,skc19,skc18),
file('GEO654+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO654+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO654+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO654+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO654+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO654+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ perp(u,v,w,x)
| perp(u,v,x,w) ),
file('GEO654+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO654+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,w,v,x) ),
file('GEO654+1.p',unknown),
[] ).
cnf(29,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO654+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO654+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO654+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO654+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ coll(u,v,w)
| ~ cong(u,v,u,w)
| midp(u,v,w) ),
file('GEO654+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ midp(u,v,w)
| ~ perp(v,x,x,w)
| cong(v,u,x,u) ),
file('GEO654+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ para(u,v,w,x)
| ~ para(y,z,u,v)
| para(y,z,w,x) ),
file('GEO654+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO654+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO654+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO654+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO654+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO654+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO654+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO654+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO654+1.p',unknown),
[] ).
cnf(124,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('GEO654+1.p',unknown),
[] ).
cnf(150,plain,
coll(skc23,skc19,skc17),
inference(res,[status(thm),theory(equality)],[1,12]),
[iquote('0:Res:1.0,12.0')] ).
cnf(179,plain,
( ~ perp(skc17,skc20,u,v)
| para(skc22,skc17,u,v) ),
inference(res,[status(thm),theory(equality)],[10,47]),
[iquote('0:Res:10.0,47.0')] ).
cnf(181,plain,
perp(skc17,skc20,skc22,skc17),
inference(res,[status(thm),theory(equality)],[10,21]),
[iquote('0:Res:10.0,21.0')] ).
cnf(190,plain,
( ~ perp(u,v,skc22,skc17)
| para(u,v,skc17,skc20) ),
inference(res,[status(thm),theory(equality)],[10,47]),
[iquote('0:Res:10.0,47.1')] ).
cnf(307,plain,
( ~ perp(skc17,skc20,u,v)
| para(skc22,skc17,v,u) ),
inference(res,[status(thm),theory(equality)],[179,18]),
[iquote('0:Res:179.1,18.0')] ).
cnf(316,plain,
( ~ perp(u,v,skc22,skc17)
| para(skc17,skc20,u,v) ),
inference(res,[status(thm),theory(equality)],[190,19]),
[iquote('0:Res:190.1,19.0')] ).
cnf(335,plain,
perp(skc17,skc20,skc17,skc22),
inference(res,[status(thm),theory(equality)],[181,20]),
[iquote('0:Res:181.0,20.0')] ).
cnf(352,plain,
perp(skc17,skc22,skc17,skc20),
inference(res,[status(thm),theory(equality)],[335,21]),
[iquote('0:Res:335.0,21.0')] ).
cnf(411,plain,
( ~ coll(skc23,skc19,u)
| coll(u,skc17,skc23) ),
inference(res,[status(thm),theory(equality)],[150,29]),
[iquote('0:Res:150.0,29.0')] ).
cnf(507,plain,
coll(skc17,skc17,skc23),
inference(res,[status(thm),theory(equality)],[150,411]),
[iquote('0:Res:150.0,411.0')] ).
cnf(511,plain,
( ~ coll(skc17,skc17,u)
| coll(u,skc23,skc17) ),
inference(res,[status(thm),theory(equality)],[507,29]),
[iquote('0:Res:507.0,29.0')] ).
cnf(806,plain,
( ~ perp(u,v,skc17,skc22)
| para(u,v,skc17,skc20) ),
inference(res,[status(thm),theory(equality)],[352,47]),
[iquote('0:Res:352.0,47.0')] ).
cnf(1283,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[37,60]),
[iquote('0:Res:37.1,60.0')] ).
cnf(1316,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[37,58]),
[iquote('0:Res:37.1,58.0')] ).
cnf(1564,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[37,82]),
[iquote('0:Res:37.1,82.1')] ).
cnf(3245,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)],[38,124]),
[iquote('0:Res:38.1,124.3')] ).
cnf(3247,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)],[3245]),
[iquote('0:Obv:3245.0')] ).
cnf(3248,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3247]),
[iquote('0:Con:3247.2')] ).
cnf(4569,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1283,65]),
[iquote('0:Res:1283.1,65.0')] ).
cnf(4580,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1283,82]),
[iquote('0:Res:1283.1,82.1')] ).
cnf(4594,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4580,4569]),
[iquote('0:MRR:4580.1,4569.1')] ).
cnf(4827,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1316,36]),
[iquote('0:Res:1316.1,36.0')] ).
cnf(13928,plain,
( ~ perp(u,v,skc22,skc17)
| ~ para(w,x,skc17,skc20)
| para(w,x,u,v) ),
inference(res,[status(thm),theory(equality)],[316,46]),
[iquote('0:Res:316.1,46.0')] ).
cnf(16719,plain,
( ~ perp(skc17,skc20,skc17,skc22)
| para(u,v,u,v) ),
inference(res,[status(thm),theory(equality)],[307,4827]),
[iquote('0:Res:307.1,4827.0')] ).
cnf(19460,plain,
para(u,v,u,v),
inference(mrr,[status(thm)],[16719,335]),
[iquote('0:MRR:16719.0,335.0')] ).
cnf(19461,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4594,19460]),
[iquote('0:MRR:4594.0,19460.0')] ).
cnf(19465,plain,
( ~ coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(mrr,[status(thm)],[1564,19460]),
[iquote('0:MRR:1564.0,19460.0')] ).
cnf(20370,plain,
coll(u,v,v),
inference(res,[status(thm),theory(equality)],[19460,16]),
[iquote('0:Res:19460.0,16.0')] ).
cnf(20381,plain,
coll(u,v,u),
inference(res,[status(thm),theory(equality)],[20370,13]),
[iquote('0:Res:20370.0,13.0')] ).
cnf(20401,plain,
coll(u,u,v),
inference(res,[status(thm),theory(equality)],[20381,12]),
[iquote('0:Res:20381.0,12.0')] ).
cnf(20402,plain,
coll(u,skc23,skc17),
inference(mrr,[status(thm)],[511,20401]),
[iquote('0:MRR:511.0,20401.0')] ).
cnf(20457,plain,
cyclic(u,v,w,w),
inference(mrr,[status(thm)],[19465,20401]),
[iquote('0:MRR:19465.0,20401.0')] ).
cnf(20516,plain,
coll(skc23,u,skc17),
inference(res,[status(thm),theory(equality)],[20402,13]),
[iquote('0:Res:20402.0,13.0')] ).
cnf(20731,plain,
coll(skc23,skc17,u),
inference(res,[status(thm),theory(equality)],[20516,12]),
[iquote('0:Res:20516.0,12.0')] ).
cnf(20969,plain,
( ~ coll(skc23,skc17,u)
| coll(u,v,skc23) ),
inference(res,[status(thm),theory(equality)],[20731,29]),
[iquote('0:Res:20731.0,29.0')] ).
cnf(20972,plain,
coll(u,v,skc23),
inference(mrr,[status(thm)],[20969,20731]),
[iquote('0:MRR:20969.0,20731.0')] ).
cnf(21174,plain,
coll(u,skc23,v),
inference(res,[status(thm),theory(equality)],[20972,12]),
[iquote('0:Res:20972.0,12.0')] ).
cnf(21357,plain,
( ~ coll(u,skc23,v)
| coll(v,w,u) ),
inference(res,[status(thm),theory(equality)],[21174,29]),
[iquote('0:Res:21174.0,29.0')] ).
cnf(21365,plain,
coll(u,v,w),
inference(mrr,[status(thm)],[21357,21174]),
[iquote('0:MRR:21357.0,21174.0')] ).
cnf(21366,plain,
( ~ cong(u,v,u,w)
| midp(u,v,w) ),
inference(mrr,[status(thm)],[42,21365]),
[iquote('0:MRR:42.0,21365.0')] ).
cnf(21843,plain,
cyclic(u,v,w,v),
inference(res,[status(thm),theory(equality)],[20457,23]),
[iquote('0:Res:20457.0,23.0')] ).
cnf(21852,plain,
( ~ cyclic(u,v,w,u)
| cong(u,v,u,v) ),
inference(mrr,[status(thm)],[3248,21843]),
[iquote('0:MRR:3248.1,21843.0')] ).
cnf(22155,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[19461,98]),
[iquote('0:Res:19461.0,98.0')] ).
cnf(22156,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[19461,50]),
[iquote('0:Res:19461.0,50.0')] ).
cnf(22202,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[22156,19461]),
[iquote('0:MRR:22156.0,19461.0')] ).
cnf(22347,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[21852,22202]),
[iquote('0:MRR:21852.0,22202.0')] ).
cnf(22446,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[22155,22347]),
[iquote('0:MRR:22155.0,22155.1,22347.0,22347.0')] ).
cnf(22453,plain,
( ~ midp(u,v,w)
| cong(v,u,x,u) ),
inference(mrr,[status(thm)],[43,22446]),
[iquote('0:MRR:43.1,22446.0')] ).
cnf(24181,plain,
midp(u,v,v),
inference(res,[status(thm),theory(equality)],[22347,21366]),
[iquote('0:Res:22347.0,21366.0')] ).
cnf(27535,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[24181,22453]),
[iquote('0:Res:24181.0,22453.0')] ).
cnf(27545,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[52,27535]),
[iquote('0:MRR:52.0,52.1,27535.0')] ).
cnf(27595,plain,
para(u,v,skc17,skc20),
inference(mrr,[status(thm)],[806,27545]),
[iquote('0:MRR:806.0,27545.0')] ).
cnf(27658,plain,
( ~ para(u,v,skc17,skc20)
| para(u,v,w,x) ),
inference(mrr,[status(thm)],[13928,27545]),
[iquote('0:MRR:13928.0,27545.0')] ).
cnf(27900,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[27658,27595]),
[iquote('0:MRR:27658.0,27595.0')] ).
cnf(27901,plain,
$false,
inference(unc,[status(thm)],[27900,11]),
[iquote('0:UnC:27900.0,11.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO654+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 17 16:01:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 17.47/17.63
% 17.47/17.63 SPASS V 3.9
% 17.47/17.63 SPASS beiseite: Proof found.
% 17.47/17.63 % SZS status Theorem
% 17.47/17.63 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.47/17.63 SPASS derived 25198 clauses, backtracked 8080 clauses, performed 6 splits and kept 21010 clauses.
% 17.47/17.63 SPASS allocated 103805 KBytes.
% 17.47/17.63 SPASS spent 0:0:17.16 on the problem.
% 17.47/17.63 0:00:00.04 for the input.
% 17.47/17.63 0:00:00.23 for the FLOTTER CNF translation.
% 17.47/17.63 0:00:00.32 for inferences.
% 17.47/17.63 0:00:00.14 for the backtracking.
% 17.47/17.63 0:0:16.00 for the reduction.
% 17.47/17.63
% 17.47/17.63
% 17.47/17.63 Here is a proof with depth 9, length 82 :
% 17.47/17.63 % SZS output start Refutation
% See solution above
% 17.47/17.64 Formulae used in the proof : exemplo6GDDFULLmoreE0228 ruleD1 ruleD2 ruleD66 ruleD4 ruleD5 ruleD7 ruleD8 ruleD15 ruleD3 ruleD39 ruleD40 ruleD41 ruleD67 ruleD52 ruleD6 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleD42b ruleD57 ruleD43
% 17.47/17.64
%------------------------------------------------------------------------------