TSTP Solution File: GEO543+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO543+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 06:25:09 EDT 2022
% Result : Theorem 15.33s 15.51s
% Output : Refutation 15.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of clauses : 35 ( 12 unt; 2 nHn; 35 RR)
% Number of literals : 64 ( 0 equ; 28 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(5,axiom,
midp(skc12,skc18,skc16),
file('GEO543+1.p',unknown),
[] ).
cnf(12,axiom,
~ cyclic(skc12,skc13,skc11,skc10),
file('GEO543+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO543+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO543+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO543+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO543+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO543+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO543+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO543+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO543+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO543+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO543+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO543+1.p',unknown),
[] ).
cnf(83,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO543+1.p',unknown),
[] ).
cnf(213,plain,
midp(skc12,skc16,skc18),
inference(res,[status(thm),theory(equality)],[5,15]),
[iquote('0:Res:5.0,15.0')] ).
cnf(215,plain,
( ~ midp(skc12,u,v)
| para(u,skc18,v,skc16) ),
inference(res,[status(thm),theory(equality)],[5,42]),
[iquote('0:Res:5.0,42.1')] ).
cnf(667,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[39,37]),
[iquote('0:Res:39.1,37.0')] ).
cnf(1157,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[38,61]),
[iquote('0:Res:38.1,61.0')] ).
cnf(1196,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[38,59]),
[iquote('0:Res:38.1,59.0')] ).
cnf(2513,plain,
( ~ midp(skc12,u,v)
| para(u,skc18,skc16,v) ),
inference(res,[status(thm),theory(equality)],[215,19]),
[iquote('0:Res:215.1,19.0')] ).
cnf(4526,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1157,66]),
[iquote('0:Res:1157.1,66.0')] ).
cnf(4537,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1157,83]),
[iquote('0:Res:1157.1,83.1')] ).
cnf(4552,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4537,4526]),
[iquote('0:MRR:4537.1,4526.1')] ).
cnf(4847,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1196,37]),
[iquote('0:Res:1196.1,37.0')] ).
cnf(15863,plain,
( ~ midp(skc12,skc16,skc18)
| cyclic(skc18,skc18,skc16,u) ),
inference(res,[status(thm),theory(equality)],[2513,4552]),
[iquote('0:Res:2513.1,4552.0')] ).
cnf(15877,plain,
cyclic(skc18,skc18,skc16,u),
inference(mrr,[status(thm)],[15863,213]),
[iquote('0:MRR:15863.0,213.0')] ).
cnf(16284,plain,
para(skc16,skc18,skc16,skc18),
inference(res,[status(thm),theory(equality)],[15877,667]),
[iquote('0:Res:15877.0,667.0')] ).
cnf(16351,plain,
para(skc16,skc18,skc18,skc16),
inference(res,[status(thm),theory(equality)],[16284,19]),
[iquote('0:Res:16284.0,19.0')] ).
cnf(16411,plain,
para(skc18,skc16,skc16,skc18),
inference(res,[status(thm),theory(equality)],[16351,20]),
[iquote('0:Res:16351.0,20.0')] ).
cnf(16480,plain,
para(skc18,skc16,skc18,skc16),
inference(res,[status(thm),theory(equality)],[16411,19]),
[iquote('0:Res:16411.0,19.0')] ).
cnf(17406,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[16480,4847]),
[iquote('0:Res:16480.0,4847.0')] ).
cnf(17427,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4552,17406]),
[iquote('0:MRR:4552.0,17406.0')] ).
cnf(19220,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[17427,51]),
[iquote('0:Res:17427.0,51.0')] ).
cnf(19296,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[19220,17427]),
[iquote('0:MRR:19220.0,17427.0')] ).
cnf(19297,plain,
$false,
inference(unc,[status(thm)],[19296,12]),
[iquote('0:UnC:19296.0,12.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO543+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 : Fri Jun 17 18:03:29 EDT 2022
% 0.14/0.36 % CPUTime :
% 15.33/15.51
% 15.33/15.51 SPASS V 3.9
% 15.33/15.51 SPASS beiseite: Proof found.
% 15.33/15.51 % SZS status Theorem
% 15.33/15.51 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.33/15.51 SPASS derived 18393 clauses, backtracked 0 clauses, performed 1 splits and kept 11440 clauses.
% 15.33/15.51 SPASS allocated 100013 KBytes.
% 15.33/15.51 SPASS spent 0:0:14.76 on the problem.
% 15.33/15.51 0:00:00.04 for the input.
% 15.33/15.51 0:00:00.20 for the FLOTTER CNF translation.
% 15.33/15.51 0:00:00.56 for inferences.
% 15.33/15.51 0:00:00.00 for the backtracking.
% 15.33/15.51 0:0:13.46 for the reduction.
% 15.33/15.51
% 15.33/15.51
% 15.33/15.51 Here is a proof with depth 8, length 35 :
% 15.33/15.51 % SZS output start Refutation
% See solution above
% 15.33/15.51 Formulae used in the proof : exemplo6GDDFULL012003 ruleD11 ruleD4 ruleD5 ruleD39 ruleD40 ruleD41 ruleD63 ruleD17 ruleD19 ruleD21 ruleD42a ruleD42b
% 15.33/15.51
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