TSTP Solution File: GEO557+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO557+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 06:25:13 EDT 2022
% Result : Theorem 14.57s 14.78s
% Output : Refutation 14.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 29 ( 10 unt; 2 nHn; 29 RR)
% Number of literals : 54 ( 0 equ; 25 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(4,axiom,
circle(skc21,skc20,skc14,skc22),
file('GEO557+1.p',unknown),
[] ).
cnf(9,axiom,
~ cyclic(skc14,skc12,skc19,skc18),
file('GEO557+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO557+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO557+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ circle(u,v,w,x)
| perp(skf31(u,v),v,v,u) ),
file('GEO557+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO557+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO557+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO557+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO557+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('GEO557+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('GEO557+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('GEO557+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('GEO557+1.p',unknown),
[] ).
cnf(214,plain,
perp(skf31(skc21,skc20),skc20,skc20,skc21),
inference(res,[status(thm),theory(equality)],[4,26]),
[iquote('0:Res:4.0,26.0')] ).
cnf(229,plain,
~ cyclic(skc12,skc14,skc19,skc18),
inference(res,[status(thm),theory(equality)],[22,9]),
[iquote('0:Res:22.1,9.0')] ).
cnf(314,plain,
perp(skc20,skc21,skf31(skc21,skc20),skc20),
inference(res,[status(thm),theory(equality)],[214,19]),
[iquote('0:Res:214.0,19.0')] ).
cnf(752,plain,
( ~ perp(u,v,skf31(skc21,skc20),skc20)
| para(u,v,skc20,skc21) ),
inference(res,[status(thm),theory(equality)],[214,45]),
[iquote('0:Res:214.0,45.0')] ).
cnf(1283,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(1315,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(4716,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1283,63]),
[iquote('0:Res:1283.1,63.0')] ).
cnf(4727,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1283,80]),
[iquote('0:Res:1283.1,80.1')] ).
cnf(4741,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4727,4716]),
[iquote('0:MRR:4727.1,4716.1')] ).
cnf(5179,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1315,34]),
[iquote('0:Res:1315.1,34.0')] ).
cnf(19945,plain,
para(skc20,skc21,skc20,skc21),
inference(res,[status(thm),theory(equality)],[314,752]),
[iquote('0:Res:314.0,752.0')] ).
cnf(19963,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[19945,5179]),
[iquote('0:Res:19945.0,5179.0')] ).
cnf(19979,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4741,19963]),
[iquote('0:MRR:4741.0,19963.0')] ).
cnf(22847,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[19979,48]),
[iquote('0:Res:19979.0,48.0')] ).
cnf(23353,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[22847,19979]),
[iquote('0:MRR:22847.0,19979.0')] ).
cnf(23354,plain,
$false,
inference(unc,[status(thm)],[23353,229]),
[iquote('0:UnC:23353.0,229.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO557+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 18 11:01:59 EDT 2022
% 0.14/0.35 % CPUTime :
% 14.57/14.78
% 14.57/14.78 SPASS V 3.9
% 14.57/14.78 SPASS beiseite: Proof found.
% 14.57/14.78 % SZS status Theorem
% 14.57/14.78 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.57/14.78 SPASS derived 21638 clauses, backtracked 0 clauses, performed 6 splits and kept 12396 clauses.
% 14.57/14.78 SPASS allocated 101567 KBytes.
% 14.57/14.78 SPASS spent 0:0:14.14 on the problem.
% 14.57/14.78 0:00:00.04 for the input.
% 14.57/14.78 0:00:00.22 for the FLOTTER CNF translation.
% 14.57/14.78 0:00:00.32 for inferences.
% 14.57/14.78 0:00:00.01 for the backtracking.
% 14.57/14.78 0:0:13.24 for the reduction.
% 14.57/14.78
% 14.57/14.78
% 14.57/14.78 Here is a proof with depth 4, length 29 :
% 14.57/14.78 % SZS output start Refutation
% See solution above
% 14.57/14.79 Formulae used in the proof : exemplo6GDDFULL012017 ruleD8 ruleD16 ruleX11 ruleD39 ruleD40 ruleD9 ruleD17 ruleD19 ruleD21 ruleD42a ruleD42b
% 14.57/14.79
%------------------------------------------------------------------------------