%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO633+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n013.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 06:25:38 EDT 2022
% Result : Theorem 16.43s 16.64s
% Output : Refutation 16.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of clauses : 45 ( 15 unt; 2 nHn; 45 RR)
% Number of literals : 96 ( 0 equ; 50 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,
~ perp(skc14,skc13,skc12,skc10),
file('GEO633+1.p',unknown),
[] ).
cnf(9,axiom,
eqangle(skc10,skc12,skc12,skc8,skc9,skc12,skc12,skc11),
file('GEO633+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO633+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO633+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO633+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO633+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO633+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('GEO633+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('GEO633+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('GEO633+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('GEO633+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('GEO633+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('GEO633+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('GEO633+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('GEO633+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('GEO633+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('GEO633+1.p',unknown),
[] ).
cnf(1161,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(1178,plain,
eqangle(skc9,skc12,skc12,skc11,skc10,skc12,skc12,skc8),
inference(res,[status(thm),theory(equality)],[9,57]),
[iquote('0:Res:9.0,57.0')] ).
cnf(1200,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(2377,plain,
( ~ eqangle(u,v,w,x,skc10,skc12,skc12,skc8)
| eqangle(u,v,w,x,skc9,skc12,skc12,skc11) ),
inference(res,[status(thm),theory(equality)],[9,116]),
[iquote('0:Res:9.0,116.0')] ).
cnf(2626,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(2636,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)],[2626]),
[iquote('0:Obv:2626.0')] ).
cnf(2637,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2636]),
[iquote('0:Con:2636.2')] ).
cnf(4099,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1161,63]),
[iquote('0:Res:1161.1,63.0')] ).
cnf(4110,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1161,80]),
[iquote('0:Res:1161.1,80.1')] ).
cnf(4126,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4110,4099]),
[iquote('0:MRR:4110.1,4099.1')] ).
cnf(4376,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1200,34]),
[iquote('0:Res:1200.1,34.0')] ).
cnf(5277,plain,
eqangle(skc9,skc12,skc12,skc11,skc9,skc12,skc12,skc11),
inference(res,[status(thm),theory(equality)],[1178,2377]),
[iquote('0:Res:1178.0,2377.0')] ).
cnf(5681,plain,
para(skc9,skc12,skc9,skc12),
inference(res,[status(thm),theory(equality)],[5277,34]),
[iquote('0:Res:5277.0,34.0')] ).
cnf(21287,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[5681,4376]),
[iquote('0:Res:5681.0,4376.0')] ).
cnf(21297,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4126,21287]),
[iquote('0:MRR:4126.0,21287.0')] ).
cnf(24081,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[21297,96]),
[iquote('0:Res:21297.0,96.0')] ).
cnf(24082,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[21297,48]),
[iquote('0:Res:21297.0,48.0')] ).
cnf(24202,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[24082,21297]),
[iquote('0:MRR:24082.0,21297.0')] ).
cnf(24206,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[122,24202]),
[iquote('0:MRR:122.2,122.1,122.0,24202.0')] ).
cnf(24221,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[70,24202]),
[iquote('0:MRR:70.1,24202.0')] ).
cnf(24223,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2637,24202]),
[iquote('0:MRR:2637.1,2637.0,24202.0')] ).
cnf(24726,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[24081,24223]),
[iquote('0:MRR:24081.0,24081.1,24223.0,24223.0')] ).
cnf(24742,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[93,24726]),
[iquote('0:MRR:93.0,24726.0')] ).
cnf(24752,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[24221,24726]),
[iquote('0:MRR:24221.0,24726.0')] ).
cnf(27432,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[24752,24742]),
[iquote('0:Res:24752.0,24742.0')] ).
cnf(28749,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[27432,24206]),
[iquote('0:Res:27432.0,24206.0')] ).
cnf(28769,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[50,28749]),
[iquote('0:MRR:50.1,50.0,28749.0')] ).
cnf(28786,plain,
$false,
inference(unc,[status(thm)],[28769,8]),
[iquote('0:UnC:28769.0,8.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO633+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 02:23:44 EDT 2022
% 0.14/0.36 % CPUTime :
% 16.43/16.64
% 16.43/16.64 SPASS V 3.9
% 16.43/16.64 SPASS beiseite: Proof found.
% 16.43/16.64 % SZS status Theorem
% 16.43/16.64 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.43/16.64 SPASS derived 28018 clauses, backtracked 0 clauses, performed 1 splits and kept 14380 clauses.
% 16.43/16.64 SPASS allocated 103382 KBytes.
% 16.43/16.64 SPASS spent 0:0:16.02 on the problem.
% 16.43/16.64 0:00:00.03 for the input.
% 16.43/16.64 0:00:00.19 for the FLOTTER CNF translation.
% 16.43/16.64 0:00:00.44 for inferences.
% 16.43/16.64 0:00:00.02 for the backtracking.
% 16.43/16.64 0:0:14.80 for the reduction.
% 16.43/16.64
% 16.43/16.64
% 16.43/16.64 Here is a proof with depth 4, length 45 :
% 16.43/16.64 % SZS output start Refutation
% See solution above
% 16.43/16.64 Formulae used in the proof : exemplo6GDDFULL8110996 ruleD39 ruleD40 ruleD41 ruleD17 ruleD56 ruleD19 ruleD20 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD22 ruleD43
% 16.43/16.64
%------------------------------------------------------------------------------