TSTP Solution File: GEO567+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO567+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 06:25:17 EDT 2022
% Result : Theorem 24.04s 24.28s
% Output : Refutation 24.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of clauses : 43 ( 15 unt; 2 nHn; 43 RR)
% Number of literals : 80 ( 0 equ; 36 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 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(3,axiom,
coll(skc10,skc6,skc7),
file('GEO567+1.p',unknown),
[] ).
cnf(4,axiom,
perp(skc10,skc11,skc6,skc7),
file('GEO567+1.p',unknown),
[] ).
cnf(7,axiom,
~ cyclic(skc6,skc8,skc9,skc7),
file('GEO567+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO567+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO567+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO567+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO567+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO567+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO567+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO567+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO567+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO567+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO567+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO567+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO567+1.p',unknown),
[] ).
cnf(78,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO567+1.p',unknown),
[] ).
cnf(123,plain,
coll(skc10,skc7,skc6),
inference(res,[status(thm),theory(equality)],[3,8]),
[iquote('0:Res:3.0,8.0')] ).
cnf(124,plain,
coll(skc6,skc10,skc7),
inference(res,[status(thm),theory(equality)],[3,9]),
[iquote('0:Res:3.0,9.0')] ).
cnf(238,plain,
perp(skc6,skc7,skc10,skc11),
inference(res,[status(thm),theory(equality)],[4,17]),
[iquote('0:Res:4.0,17.0')] ).
cnf(243,plain,
( ~ perp(u,v,skc10,skc11)
| para(u,v,skc6,skc7) ),
inference(res,[status(thm),theory(equality)],[4,43]),
[iquote('0:Res:4.0,43.1')] ).
cnf(409,plain,
( ~ coll(skc6,skc10,u)
| coll(u,skc7,skc6) ),
inference(res,[status(thm),theory(equality)],[124,25]),
[iquote('0:Res:124.0,25.0')] ).
cnf(414,plain,
( ~ coll(skc10,skc7,u)
| coll(u,skc6,skc10) ),
inference(res,[status(thm),theory(equality)],[123,25]),
[iquote('0:Res:123.0,25.0')] ).
cnf(481,plain,
coll(skc6,skc6,skc10),
inference(res,[status(thm),theory(equality)],[123,414]),
[iquote('0:Res:123.0,414.0')] ).
cnf(484,plain,
coll(skc6,skc10,skc6),
inference(res,[status(thm),theory(equality)],[481,8]),
[iquote('0:Res:481.0,8.0')] ).
cnf(486,plain,
coll(skc6,skc7,skc6),
inference(res,[status(thm),theory(equality)],[484,409]),
[iquote('0:Res:484.0,409.0')] ).
cnf(491,plain,
coll(skc6,skc6,skc7),
inference(res,[status(thm),theory(equality)],[486,8]),
[iquote('0:Res:486.0,8.0')] ).
cnf(600,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[34,32]),
[iquote('0:Res:34.1,32.0')] ).
cnf(1142,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[33,56]),
[iquote('0:Res:33.1,56.0')] ).
cnf(1182,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[33,54]),
[iquote('0:Res:33.1,54.0')] ).
cnf(1450,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[33,78]),
[iquote('0:Res:33.1,78.1')] ).
cnf(4580,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1142,61]),
[iquote('0:Res:1142.1,61.0')] ).
cnf(4591,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1142,78]),
[iquote('0:Res:1142.1,78.1')] ).
cnf(4606,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4591,4580]),
[iquote('0:MRR:4591.1,4580.1')] ).
cnf(4966,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1182,32]),
[iquote('0:Res:1182.1,32.0')] ).
cnf(5701,plain,
( ~ perp(skc6,skc7,skc10,skc11)
| ~ coll(skc6,skc6,u)
| cyclic(skc7,u,skc6,skc6) ),
inference(res,[status(thm),theory(equality)],[243,1450]),
[iquote('0:Res:243.1,1450.0')] ).
cnf(5713,plain,
( ~ coll(skc6,skc6,u)
| cyclic(skc7,u,skc6,skc6) ),
inference(mrr,[status(thm)],[5701,238]),
[iquote('0:MRR:5701.0,238.0')] ).
cnf(5724,plain,
( ~ coll(skc6,skc6,u)
| para(skc6,skc7,skc6,skc7) ),
inference(res,[status(thm),theory(equality)],[5713,600]),
[iquote('0:Res:5713.1,600.0')] ).
cnf(5726,plain,
para(skc6,skc7,skc6,skc7),
inference(res,[status(thm),theory(equality)],[491,5724]),
[iquote('0:Res:491.0,5724.0')] ).
cnf(23203,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[5726,4966]),
[iquote('0:Res:5726.0,4966.0')] ).
cnf(23292,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4606,23203]),
[iquote('0:MRR:4606.0,23203.0')] ).
cnf(25899,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[23292,46]),
[iquote('0:Res:23292.0,46.0')] ).
cnf(26094,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[25899,23292]),
[iquote('0:MRR:25899.0,23292.0')] ).
cnf(26095,plain,
$false,
inference(unc,[status(thm)],[26094,7]),
[iquote('0:UnC:26094.0,7.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO567+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n023.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 : Sat Jun 18 02:52:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 24.04/24.28
% 24.04/24.28 SPASS V 3.9
% 24.04/24.28 SPASS beiseite: Proof found.
% 24.04/24.28 % SZS status Theorem
% 24.04/24.28 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.04/24.28 SPASS derived 24748 clauses, backtracked 0 clauses, performed 0 splits and kept 15762 clauses.
% 24.04/24.28 SPASS allocated 104153 KBytes.
% 24.04/24.28 SPASS spent 0:0:23.43 on the problem.
% 24.04/24.28 0:00:00.04 for the input.
% 24.04/24.28 0:00:00.21 for the FLOTTER CNF translation.
% 24.04/24.28 0:00:00.42 for inferences.
% 24.04/24.28 0:00:00.00 for the backtracking.
% 24.04/24.28 0:0:22.32 for the reduction.
% 24.04/24.28
% 24.04/24.28
% 24.04/24.28 Here is a proof with depth 8, length 43 :
% 24.04/24.28 % SZS output start Refutation
% See solution above
% 24.04/24.28 Formulae used in the proof : exemplo6GDDFULL214029 ruleD1 ruleD2 ruleD8 ruleD3 ruleD39 ruleD40 ruleD41 ruleD9 ruleD17 ruleD19 ruleD21 ruleD42a ruleD42b
% 24.04/24.28
%------------------------------------------------------------------------------