%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO550+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n003.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 06:25:11 EDT 2022
% Result : Theorem 13.93s 14.13s
% Output : Refutation 13.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 26
% Syntax : Number of clauses : 74 ( 18 unt; 2 nHn; 74 RR)
% Number of literals : 153 ( 0 equ; 78 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 : 19 ( 19 usr; 18 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
coll(skc16,skc18,skc15),
file('GEO550+1.p',unknown),
[] ).
cnf(4,axiom,
coll(skc14,skc11,skc15),
file('GEO550+1.p',unknown),
[] ).
cnf(6,axiom,
circle(skc19,skc16,skc17,skc18),
file('GEO550+1.p',unknown),
[] ).
cnf(7,axiom,
circle(skc12,skc11,skc15,skc16),
file('GEO550+1.p',unknown),
[] ).
cnf(8,axiom,
circle(skc12,skc11,skc13,skc21),
file('GEO550+1.p',unknown),
[] ).
cnf(9,axiom,
~ cyclic(skc14,skc15,skc13,skc18),
file('GEO550+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO550+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO550+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,v,x,w) ),
file('GEO550+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,w,v,x) ),
file('GEO550+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO550+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ circle(u,v,w,x)
| perp(skf31(u,v),v,v,u) ),
file('GEO550+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO550+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO550+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO550+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO550+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ cong(u,v,u,w)
| eqangle(u,v,v,w,v,w,u,w) ),
file('GEO550+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO550+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO550+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('GEO550+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('GEO550+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('GEO550+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('GEO550+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ circle(u,v,w,x)
| ~ eqangle(v,y,v,w,x,v,x,w)
| perp(u,v,v,y) ),
file('GEO550+1.p',unknown),
[] ).
cnf(93,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO550+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('GEO550+1.p',unknown),
[] ).
cnf(126,plain,
coll(skc11,skc14,skc15),
inference(res,[status(thm),theory(equality)],[4,11]),
[iquote('0:Res:4.0,11.0')] ).
cnf(170,plain,
( ~ coll(skc16,skc18,u)
| coll(skc15,u,skc16) ),
inference(res,[status(thm),theory(equality)],[2,27]),
[iquote('0:Res:2.0,27.0')] ).
cnf(217,plain,
( ~ eqangle(skc11,u,skc11,skc13,skc21,skc11,skc21,skc13)
| perp(skc12,skc11,skc11,u) ),
inference(res,[status(thm),theory(equality)],[8,92]),
[iquote('0:Res:8.0,92.0')] ).
cnf(226,plain,
( ~ perp(skc12,skc11,skc11,u)
| eqangle(skc11,u,skc11,skc15,skc16,skc11,skc16,skc15) ),
inference(res,[status(thm),theory(equality)],[7,93]),
[iquote('0:Res:7.0,93.0')] ).
cnf(240,plain,
perp(skf31(skc19,skc16),skc16,skc16,skc19),
inference(res,[status(thm),theory(equality)],[6,26]),
[iquote('0:Res:6.0,26.0')] ).
cnf(249,plain,
coll(skc15,skc15,skc16),
inference(res,[status(thm),theory(equality)],[2,170]),
[iquote('0:Res:2.0,170.0')] ).
cnf(336,plain,
perp(skc16,skc19,skf31(skc19,skc16),skc16),
inference(res,[status(thm),theory(equality)],[240,19]),
[iquote('0:Res:240.0,19.0')] ).
cnf(423,plain,
( ~ coll(skc11,skc14,u)
| coll(u,skc15,skc11) ),
inference(res,[status(thm),theory(equality)],[126,27]),
[iquote('0:Res:126.0,27.0')] ).
cnf(429,plain,
( ~ coll(skc15,skc15,u)
| coll(u,skc16,skc15) ),
inference(res,[status(thm),theory(equality)],[249,27]),
[iquote('0:Res:249.0,27.0')] ).
cnf(574,plain,
coll(skc15,skc15,skc11),
inference(res,[status(thm),theory(equality)],[126,423]),
[iquote('0:Res:126.0,423.0')] ).
cnf(602,plain,
( ~ cong(u,u,u,v)
| para(u,u,u,v) ),
inference(res,[status(thm),theory(equality)],[38,34]),
[iquote('0:Res:38.1,34.0')] ).
cnf(604,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[36,34]),
[iquote('0:Res:36.1,34.0')] ).
cnf(619,plain,
coll(skc11,skc16,skc15),
inference(res,[status(thm),theory(equality)],[574,429]),
[iquote('0:Res:574.0,429.0')] ).
cnf(816,plain,
( ~ perp(u,v,skf31(skc19,skc16),skc16)
| para(u,v,skc16,skc19) ),
inference(res,[status(thm),theory(equality)],[240,45]),
[iquote('0:Res:240.0,45.0')] ).
cnf(1226,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(1261,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(2893,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(2895,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)],[2893]),
[iquote('0:Obv:2893.0')] ).
cnf(2896,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2895]),
[iquote('0:Con:2895.2')] ).
cnf(3945,plain,
( ~ perp(skc12,skc11,skc11,skc11)
| ~ coll(skc11,skc16,skc15)
| cyclic(skc11,skc15,skc11,skc16) ),
inference(res,[status(thm),theory(equality)],[226,80]),
[iquote('0:Res:226.1,80.1')] ).
cnf(3951,plain,
( ~ perp(skc12,skc11,skc11,skc11)
| cyclic(skc11,skc15,skc11,skc16) ),
inference(mrr,[status(thm)],[3945,619]),
[iquote('0:MRR:3945.1,619.0')] ).
cnf(4086,plain,
( ~ cyclic(skc11,skc13,skc11,skc21)
| perp(skc12,skc11,skc11,skc11) ),
inference(res,[status(thm),theory(equality)],[36,217]),
[iquote('0:Res:36.1,217.0')] ).
cnf(4499,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1226,63]),
[iquote('0:Res:1226.1,63.0')] ).
cnf(4510,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1226,80]),
[iquote('0:Res:1226.1,80.1')] ).
cnf(4526,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4510,4499]),
[iquote('0:MRR:4510.1,4499.1')] ).
cnf(5012,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1261,34]),
[iquote('0:Res:1261.1,34.0')] ).
cnf(5239,plain,
( ~ cyclic(skc11,skc13,skc11,skc21)
| cyclic(skc11,skc15,skc11,skc16) ),
inference(res,[status(thm),theory(equality)],[4086,3951]),
[iquote('0:Res:4086.1,3951.0')] ).
cnf(5490,plain,
( ~ cyclic(skc11,skc13,skc11,skc21)
| cyclic(skc11,skc15,skc16,skc11) ),
inference(res,[status(thm),theory(equality)],[5239,20]),
[iquote('0:Res:5239.1,20.0')] ).
cnf(5642,plain,
( ~ cyclic(skc11,skc13,skc11,skc21)
| cyclic(skc15,skc11,skc16,skc11) ),
inference(res,[status(thm),theory(equality)],[5490,22]),
[iquote('0:Res:5490.1,22.0')] ).
cnf(5845,plain,
( ~ cyclic(skc11,skc13,skc11,skc21)
| cyclic(skc15,skc16,skc11,skc11) ),
inference(res,[status(thm),theory(equality)],[5642,21]),
[iquote('0:Res:5642.1,21.0')] ).
cnf(5974,plain,
( ~ cyclic(skc11,skc13,skc11,skc21)
| para(skc11,skc15,skc11,skc15) ),
inference(res,[status(thm),theory(equality)],[5845,604]),
[iquote('0:Res:5845.1,604.0')] ).
cnf(7771,plain,
( ~ cyclic(skc11,skc13,skc11,skc21)
| cyclic(skc15,skc15,skc11,u) ),
inference(res,[status(thm),theory(equality)],[5974,4526]),
[iquote('0:Res:5974.1,4526.0')] ).
cnf(13563,plain,
( ~ cyclic(skc11,skc13,skc11,skc21)
| ~ cyclic(skc15,skc15,skc11,skc15)
| cong(skc15,skc15,skc15,skc15) ),
inference(res,[status(thm),theory(equality)],[7771,2896]),
[iquote('0:Res:7771.1,2896.0')] ).
cnf(13576,plain,
( ~ cyclic(skc11,skc13,skc11,skc21)
| cong(skc15,skc15,skc15,skc15) ),
inference(mrr,[status(thm)],[13563,7771]),
[iquote('0:MRR:13563.1,7771.1')] ).
cnf(13601,plain,
( ~ cyclic(skc11,skc13,skc11,skc21)
| para(skc15,skc15,skc15,skc15) ),
inference(res,[status(thm),theory(equality)],[13576,602]),
[iquote('0:Res:13576.1,602.0')] ).
cnf(13644,plain,
( ~ cyclic(skc11,skc13,skc11,skc21)
| cyclic(skc15,skc15,skc15,u) ),
inference(res,[status(thm),theory(equality)],[13601,4526]),
[iquote('0:Res:13601.1,4526.0')] ).
cnf(14048,plain,
( ~ cyclic(skc11,skc13,skc11,skc21)
| ~ cyclic(skc15,skc15,skc15,u)
| cyclic(skc15,skc15,u,v) ),
inference(res,[status(thm),theory(equality)],[13644,48]),
[iquote('0:Res:13644.1,48.0')] ).
cnf(14057,plain,
( ~ cyclic(skc11,skc13,skc11,skc21)
| cyclic(skc15,skc15,u,v) ),
inference(mrr,[status(thm)],[14048,13644]),
[iquote('0:MRR:14048.1,13644.1')] ).
cnf(14600,plain,
( ~ cyclic(skc11,skc13,skc11,skc21)
| ~ cyclic(skc15,skc15,u,v)
| cyclic(skc15,u,v,w) ),
inference(res,[status(thm),theory(equality)],[14057,48]),
[iquote('0:Res:14057.1,48.0')] ).
cnf(14609,plain,
( ~ cyclic(skc11,skc13,skc11,skc21)
| cyclic(skc15,u,v,w) ),
inference(mrr,[status(thm)],[14600,14057]),
[iquote('0:MRR:14600.1,14057.1')] ).
cnf(17526,plain,
( ~ cyclic(skc11,skc13,skc11,skc21)
| ~ cyclic(skc15,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[14609,48]),
[iquote('0:Res:14609.1,48.0')] ).
cnf(17541,plain,
( ~ cyclic(skc11,skc13,skc11,skc21)
| cyclic(u,v,w,x) ),
inference(mrr,[status(thm)],[17526,14609]),
[iquote('0:MRR:17526.1,14609.1')] ).
cnf(20386,plain,
para(skc16,skc19,skc16,skc19),
inference(res,[status(thm),theory(equality)],[336,816]),
[iquote('0:Res:336.0,816.0')] ).
cnf(20404,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[20386,5012]),
[iquote('0:Res:20386.0,5012.0')] ).
cnf(20421,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4526,20404]),
[iquote('0:MRR:4526.0,20404.0')] ).
cnf(23320,plain,
cyclic(u,v,u,w),
inference(res,[status(thm),theory(equality)],[20421,21]),
[iquote('0:Res:20421.0,21.0')] ).
cnf(23335,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[17541,23320]),
[iquote('0:MRR:17541.0,23320.0')] ).
cnf(25721,plain,
$false,
inference(mrr,[status(thm)],[9,23335]),
[iquote('0:MRR:9.0,23335.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO550+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.32 % Computer : n003.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sat Jun 18 12:42:13 EDT 2022
% 0.12/0.32 % CPUTime :
% 13.93/14.13
% 13.93/14.13 SPASS V 3.9
% 13.93/14.13 SPASS beiseite: Proof found.
% 13.93/14.13 % SZS status Theorem
% 13.93/14.13 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.93/14.13 SPASS derived 24139 clauses, backtracked 1816 clauses, performed 3 splits and kept 11956 clauses.
% 13.93/14.13 SPASS allocated 103971 KBytes.
% 13.93/14.13 SPASS spent 0:0:13.56 on the problem.
% 13.93/14.13 0:00:00.04 for the input.
% 13.93/14.13 0:00:00.21 for the FLOTTER CNF translation.
% 13.93/14.13 0:00:00.33 for inferences.
% 13.93/14.13 0:00:00.00 for the backtracking.
% 13.93/14.13 0:0:12.67 for the reduction.
% 13.93/14.13
% 13.93/14.13
% 13.93/14.13 Here is a proof with depth 14, length 74 :
% 13.93/14.13 % SZS output start Refutation
% See solution above
% 13.93/14.13 Formulae used in the proof : exemplo6GDDFULL012010 ruleD2 ruleD8 ruleD14 ruleD15 ruleD16 ruleX11 ruleD3 ruleD39 ruleD40 ruleD41 ruleD46 ruleD9 ruleD17 ruleD19 ruleD21 ruleD42a ruleD42b ruleD49 ruleD48 ruleD43
% 13.93/14.13
%------------------------------------------------------------------------------