TSTP Solution File: GEO563+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO563+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 06:25:15 EDT 2022
% Result : Theorem 7.06s 7.27s
% Output : Refutation 7.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of clauses : 34 ( 11 unt; 2 nHn; 34 RR)
% Number of literals : 63 ( 0 equ; 29 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 16 ( 16 usr; 15 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
circle(skc18,skc17,skc12,skc19),
file('GEO563+1.p',unknown),
[] ).
cnf(12,axiom,
~ eqangle(skc15,skc13,skc13,skc12,skc15,skc14,skc14,skc12),
file('GEO563+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO563+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ circle(u,v,w,x)
| perp(skf31(u,v),v,v,u) ),
file('GEO563+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO563+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO563+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO563+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO563+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO563+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(v,u,w,x,y,z,x1,x2) ),
file('GEO563+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO563+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(y,z,x1,x2,u,v,w,x) ),
file('GEO563+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO563+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO563+1.p',unknown),
[] ).
cnf(79,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO563+1.p',unknown),
[] ).
cnf(216,plain,
perp(skf31(skc18,skc17),skc17,skc17,skc18),
inference(res,[status(thm),theory(equality)],[5,25]),
[iquote('0:Res:5.0,25.0')] ).
cnf(235,plain,
~ eqangle(skc13,skc15,skc13,skc12,skc15,skc14,skc14,skc12),
inference(res,[status(thm),theory(equality)],[54,12]),
[iquote('0:Res:54.1,12.0')] ).
cnf(329,plain,
perp(skc17,skc18,skf31(skc18,skc17),skc17),
inference(res,[status(thm),theory(equality)],[216,18]),
[iquote('0:Res:216.0,18.0')] ).
cnf(798,plain,
( ~ perp(u,v,skf31(skc18,skc17),skc17)
| para(u,v,skc17,skc18) ),
inference(res,[status(thm),theory(equality)],[216,44]),
[iquote('0:Res:216.0,44.0')] ).
cnf(1225,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[34,57]),
[iquote('0:Res:34.1,57.0')] ).
cnf(1257,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[34,55]),
[iquote('0:Res:34.1,55.0')] ).
cnf(1275,plain,
( ~ cyclic(u,v,w,x)
| eqangle(u,w,w,v,x,u,x,v) ),
inference(res,[status(thm),theory(equality)],[35,54]),
[iquote('0:Res:35.1,54.0')] ).
cnf(4285,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1225,62]),
[iquote('0:Res:1225.1,62.0')] ).
cnf(4296,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1225,79]),
[iquote('0:Res:1225.1,79.1')] ).
cnf(4311,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4296,4285]),
[iquote('0:MRR:4296.1,4285.1')] ).
cnf(4693,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1257,33]),
[iquote('0:Res:1257.1,33.0')] ).
cnf(5033,plain,
( ~ cyclic(u,v,w,x)
| eqangle(x,u,x,v,u,w,w,v) ),
inference(res,[status(thm),theory(equality)],[1275,56]),
[iquote('0:Res:1275.1,56.0')] ).
cnf(12209,plain,
para(skc17,skc18,skc17,skc18),
inference(res,[status(thm),theory(equality)],[329,798]),
[iquote('0:Res:329.0,798.0')] ).
cnf(12227,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[12209,4693]),
[iquote('0:Res:12209.0,4693.0')] ).
cnf(12244,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4311,12227]),
[iquote('0:MRR:4311.0,12227.0')] ).
cnf(14100,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[12244,47]),
[iquote('0:Res:12244.0,47.0')] ).
cnf(14153,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[14100,12244]),
[iquote('0:MRR:14100.0,12244.0')] ).
cnf(14196,plain,
eqangle(u,v,u,w,v,x,x,w),
inference(mrr,[status(thm)],[5033,14153]),
[iquote('0:MRR:5033.0,14153.0')] ).
cnf(14379,plain,
$false,
inference(unc,[status(thm)],[14196,235]),
[iquote('0:UnC:14196.0,235.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO563+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 23:37:43 EDT 2022
% 0.12/0.34 % CPUTime :
% 7.06/7.27
% 7.06/7.27 SPASS V 3.9
% 7.06/7.27 SPASS beiseite: Proof found.
% 7.06/7.27 % SZS status Theorem
% 7.06/7.27 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.06/7.27 SPASS derived 13769 clauses, backtracked 0 clauses, performed 4 splits and kept 8271 clauses.
% 7.06/7.27 SPASS allocated 96119 KBytes.
% 7.06/7.27 SPASS spent 0:00:06.85 on the problem.
% 7.06/7.27 0:00:00.04 for the input.
% 7.06/7.27 0:00:00.23 for the FLOTTER CNF translation.
% 7.06/7.27 0:00:00.28 for inferences.
% 7.06/7.27 0:00:00.00 for the backtracking.
% 7.06/7.27 0:00:06.02 for the reduction.
% 7.06/7.27
% 7.06/7.27
% 7.06/7.27 Here is a proof with depth 4, length 34 :
% 7.06/7.27 % SZS output start Refutation
% See solution above
% 7.06/7.27 Formulae used in the proof : exemplo6GDDFULL214024 ruleD8 ruleX11 ruleD39 ruleD40 ruleD41 ruleD9 ruleD17 ruleD18 ruleD19 ruleD20 ruleD21 ruleD42a ruleD42b
% 7.06/7.27
%------------------------------------------------------------------------------