TSTP Solution File: GEO632+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO632+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 06:25:37 EDT 2022
% Result : Theorem 13.22s 13.43s
% Output : Refutation 13.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 20
% Syntax : Number of clauses : 52 ( 19 unt; 2 nHn; 52 RR)
% Number of literals : 107 ( 0 equ; 54 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 : 20 ( 20 usr; 19 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(8,axiom,
~ para(skc10,skc11,skc12,skc13),
file('GEO632+1.p',unknown),
[] ).
cnf(9,axiom,
eqangle(skc14,skc16,skc16,skc10,skc11,skc16,skc16,skc15),
file('GEO632+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO632+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO632+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO632+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO632+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO632+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO632+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO632+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO632+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('GEO632+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(y,z,x1,x2,u,v,w,x) ),
file('GEO632+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('GEO632+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('GEO632+1.p',unknown),
[] ).
cnf(70,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO632+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('GEO632+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('GEO632+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('GEO632+1.p',unknown),
[] ).
cnf(116,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| ~ eqangle(x3,x4,x5,x6,u,v,w,x)
| eqangle(x3,x4,x5,x6,y,z,x1,x2) ),
file('GEO632+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('GEO632+1.p',unknown),
[] ).
cnf(1113,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(1128,plain,
eqangle(skc11,skc16,skc16,skc15,skc14,skc16,skc16,skc10),
inference(res,[status(thm),theory(equality)],[9,57]),
[iquote('0:Res:9.0,57.0')] ).
cnf(1152,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(2474,plain,
( ~ eqangle(u,v,w,x,skc14,skc16,skc16,skc10)
| eqangle(u,v,w,x,skc11,skc16,skc16,skc15) ),
inference(res,[status(thm),theory(equality)],[9,116]),
[iquote('0:Res:9.0,116.0')] ).
cnf(2719,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(2729,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)],[2719]),
[iquote('0:Obv:2719.0')] ).
cnf(2730,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2729]),
[iquote('0:Con:2729.2')] ).
cnf(3986,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1113,63]),
[iquote('0:Res:1113.1,63.0')] ).
cnf(3997,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1113,80]),
[iquote('0:Res:1113.1,80.1')] ).
cnf(4012,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[3997,3986]),
[iquote('0:MRR:3997.1,3986.1')] ).
cnf(4225,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1152,34]),
[iquote('0:Res:1152.1,34.0')] ).
cnf(5156,plain,
eqangle(skc11,skc16,skc16,skc15,skc11,skc16,skc16,skc15),
inference(res,[status(thm),theory(equality)],[1128,2474]),
[iquote('0:Res:1128.0,2474.0')] ).
cnf(5380,plain,
para(skc11,skc16,skc11,skc16),
inference(res,[status(thm),theory(equality)],[5156,34]),
[iquote('0:Res:5156.0,34.0')] ).
cnf(5391,plain,
para(skc11,skc16,skc16,skc11),
inference(res,[status(thm),theory(equality)],[5380,16]),
[iquote('0:Res:5380.0,16.0')] ).
cnf(5415,plain,
para(skc16,skc11,skc11,skc16),
inference(res,[status(thm),theory(equality)],[5391,17]),
[iquote('0:Res:5391.0,17.0')] ).
cnf(5427,plain,
para(skc16,skc11,skc16,skc11),
inference(res,[status(thm),theory(equality)],[5415,16]),
[iquote('0:Res:5415.0,16.0')] ).
cnf(14273,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[5427,4225]),
[iquote('0:Res:5427.0,4225.0')] ).
cnf(14287,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4012,14273]),
[iquote('0:MRR:4012.0,14273.0')] ).
cnf(15950,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[14287,96]),
[iquote('0:Res:14287.0,96.0')] ).
cnf(15951,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[14287,48]),
[iquote('0:Res:14287.0,48.0')] ).
cnf(16081,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[15951,14287]),
[iquote('0:MRR:15951.0,14287.0')] ).
cnf(16085,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[122,16081]),
[iquote('0:MRR:122.2,122.1,122.0,16081.0')] ).
cnf(16100,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[70,16081]),
[iquote('0:MRR:70.1,16081.0')] ).
cnf(16102,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2730,16081]),
[iquote('0:MRR:2730.1,2730.0,16081.0')] ).
cnf(16565,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[15950,16102]),
[iquote('0:MRR:15950.0,15950.1,16102.0,16102.0')] ).
cnf(16571,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[93,16565]),
[iquote('0:MRR:93.0,16565.0')] ).
cnf(16589,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[16100,16565]),
[iquote('0:MRR:16100.0,16565.0')] ).
cnf(18564,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[16589,16571]),
[iquote('0:Res:16589.0,16571.0')] ).
cnf(19642,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[18564,16085]),
[iquote('0:Res:18564.0,16085.0')] ).
cnf(19662,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[50,19642]),
[iquote('0:MRR:50.1,50.0,19642.0')] ).
cnf(19683,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[45,19662]),
[iquote('0:MRR:45.1,45.0,19662.0')] ).
cnf(20060,plain,
$false,
inference(unc,[status(thm)],[19683,8]),
[iquote('0:UnC:19683.0,8.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO632+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n029.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 20:48:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 13.22/13.43
% 13.22/13.43 SPASS V 3.9
% 13.22/13.43 SPASS beiseite: Proof found.
% 13.22/13.43 % SZS status Theorem
% 13.22/13.43 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.22/13.43 SPASS derived 19539 clauses, backtracked 0 clauses, performed 3 splits and kept 11468 clauses.
% 13.22/13.43 SPASS allocated 99135 KBytes.
% 13.22/13.43 SPASS spent 0:0:12.94 on the problem.
% 13.22/13.43 0:00:00.04 for the input.
% 13.22/13.43 0:00:00.24 for the FLOTTER CNF translation.
% 13.22/13.43 0:00:00.44 for inferences.
% 13.22/13.43 0:00:00.00 for the backtracking.
% 13.22/13.43 0:0:11.78 for the reduction.
% 13.22/13.43
% 13.22/13.43
% 13.22/13.43 Here is a proof with depth 7, length 52 :
% 13.22/13.43 % SZS output start Refutation
% See solution above
% 13.22/13.43 Formulae used in the proof : exemplo6GDDFULL8110995 ruleD4 ruleD5 ruleD39 ruleD40 ruleD41 ruleD9 ruleD17 ruleD56 ruleD19 ruleD20 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD22 ruleD43
% 13.22/13.43
%------------------------------------------------------------------------------