%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO655+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 06:25:45 EDT 2022
% Result : Theorem 35.33s 35.53s
% Output : Refutation 35.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 21
% Syntax : Number of clauses : 55 ( 18 unt; 2 nHn; 55 RR)
% Number of literals : 114 ( 0 equ; 59 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 17 ( 17 usr; 16 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
midp(skc19,skc14,skc17),
file('GEO655+1.p',unknown),
[] ).
cnf(7,axiom,
perp(skc17,skc15,skc18,skc11),
file('GEO655+1.p',unknown),
[] ).
cnf(11,axiom,
~ para(skc12,skc13,skc17,skc15),
file('GEO655+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO655+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO655+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO655+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO655+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO655+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO655+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO655+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO655+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO655+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO655+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO655+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO655+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO655+1.p',unknown),
[] ).
cnf(73,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO655+1.p',unknown),
[] ).
cnf(83,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO655+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO655+1.p',unknown),
[] ).
cnf(99,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO655+1.p',unknown),
[] ).
cnf(125,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('GEO655+1.p',unknown),
[] ).
cnf(239,plain,
midp(skc19,skc17,skc14),
inference(res,[status(thm),theory(equality)],[1,15]),
[iquote('0:Res:1.0,15.0')] ).
cnf(241,plain,
( ~ midp(skc19,u,v)
| para(u,skc14,v,skc17) ),
inference(res,[status(thm),theory(equality)],[1,42]),
[iquote('0:Res:1.0,42.1')] ).
cnf(373,plain,
perp(skc18,skc11,skc17,skc15),
inference(res,[status(thm),theory(equality)],[7,22]),
[iquote('0:Res:7.0,22.0')] ).
cnf(631,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[39,37]),
[iquote('0:Res:39.1,37.0')] ).
cnf(897,plain,
( ~ perp(u,v,skc18,skc11)
| para(u,v,skc17,skc15) ),
inference(res,[status(thm),theory(equality)],[373,48]),
[iquote('0:Res:373.0,48.0')] ).
cnf(1252,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[38,61]),
[iquote('0:Res:38.1,61.0')] ).
cnf(1286,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[38,59]),
[iquote('0:Res:38.1,59.0')] ).
cnf(3276,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)],[39,125]),
[iquote('0:Res:39.1,125.3')] ).
cnf(3282,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)],[3276]),
[iquote('0:Obv:3276.0')] ).
cnf(3283,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3282]),
[iquote('0:Con:3282.2')] ).
cnf(3721,plain,
( ~ midp(skc19,u,v)
| para(u,skc14,skc17,v) ),
inference(res,[status(thm),theory(equality)],[241,19]),
[iquote('0:Res:241.1,19.0')] ).
cnf(6030,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1252,66]),
[iquote('0:Res:1252.1,66.0')] ).
cnf(6041,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1252,83]),
[iquote('0:Res:1252.1,83.1')] ).
cnf(6055,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[6041,6030]),
[iquote('0:MRR:6041.1,6030.1')] ).
cnf(6321,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1286,37]),
[iquote('0:Res:1286.1,37.0')] ).
cnf(35084,plain,
~ perp(skc12,skc13,skc18,skc11),
inference(res,[status(thm),theory(equality)],[897,11]),
[iquote('0:Res:897.1,11.0')] ).
cnf(35692,plain,
( ~ midp(skc19,skc17,skc14)
| cyclic(skc14,skc14,skc17,u) ),
inference(res,[status(thm),theory(equality)],[3721,6055]),
[iquote('0:Res:3721.1,6055.0')] ).
cnf(35703,plain,
cyclic(skc14,skc14,skc17,u),
inference(mrr,[status(thm)],[35692,239]),
[iquote('0:MRR:35692.0,239.0')] ).
cnf(35747,plain,
para(skc17,skc14,skc17,skc14),
inference(res,[status(thm),theory(equality)],[35703,631]),
[iquote('0:Res:35703.0,631.0')] ).
cnf(36742,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[35747,6321]),
[iquote('0:Res:35747.0,6321.0')] ).
cnf(36749,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[6055,36742]),
[iquote('0:MRR:6055.0,36742.0')] ).
cnf(39355,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[36749,99]),
[iquote('0:Res:36749.0,99.0')] ).
cnf(39357,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[36749,51]),
[iquote('0:Res:36749.0,51.0')] ).
cnf(39467,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[39357,36749]),
[iquote('0:MRR:39357.0,36749.0')] ).
cnf(39470,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[125,39467]),
[iquote('0:MRR:125.2,125.1,125.0,39467.0')] ).
cnf(39486,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[73,39467]),
[iquote('0:MRR:73.1,39467.0')] ).
cnf(39487,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[3283,39467]),
[iquote('0:MRR:3283.1,3283.0,39467.0')] ).
cnf(39963,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[39355,39487]),
[iquote('0:MRR:39355.0,39355.1,39487.0,39487.0')] ).
cnf(39969,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[96,39963]),
[iquote('0:MRR:96.0,39963.0')] ).
cnf(40056,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[39486,39963]),
[iquote('0:MRR:39486.0,39963.0')] ).
cnf(42560,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[40056,39969]),
[iquote('0:Res:40056.0,39969.0')] ).
cnf(43957,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[42560,39470]),
[iquote('0:Res:42560.0,39470.0')] ).
cnf(43960,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[53,43957]),
[iquote('0:MRR:53.1,53.0,43957.0')] ).
cnf(43991,plain,
$false,
inference(unc,[status(thm)],[43960,35084]),
[iquote('0:UnC:43960.0,35084.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO655+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n009.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 07:23:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 35.33/35.53
% 35.33/35.53 SPASS V 3.9
% 35.33/35.53 SPASS beiseite: Proof found.
% 35.33/35.53 % SZS status Theorem
% 35.33/35.53 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.33/35.53 SPASS derived 42573 clauses, backtracked 3620 clauses, performed 4 splits and kept 24167 clauses.
% 35.33/35.53 SPASS allocated 113622 KBytes.
% 35.33/35.53 SPASS spent 0:0:34.71 on the problem.
% 35.33/35.53 0:00:00.04 for the input.
% 35.33/35.53 0:00:00.23 for the FLOTTER CNF translation.
% 35.33/35.53 0:00:00.81 for inferences.
% 35.33/35.53 0:00:00.35 for the backtracking.
% 35.33/35.53 0:0:32.16 for the reduction.
% 35.33/35.53
% 35.33/35.53
% 35.33/35.53 Here is a proof with depth 5, length 55 :
% 35.33/35.53 % SZS output start Refutation
% See solution above
% 35.33/35.53 Formulae used in the proof : exemplo6GDDFULLmoreE0229 ruleD11 ruleD4 ruleD8 ruleD39 ruleD40 ruleD41 ruleD63 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD43
% 35.33/35.53
%------------------------------------------------------------------------------