TSTP Solution File: GEO642+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO642+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 06:25:41 EDT 2022
% Result : Theorem 7.89s 8.06s
% Output : Refutation 7.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 18
% Syntax : Number of clauses : 49 ( 15 unt; 2 nHn; 49 RR)
% Number of literals : 104 ( 0 equ; 54 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 15 ( 15 usr; 14 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
midp(skc25,skc20,skc24),
file('GEO642+1.p',unknown),
[] ).
cnf(14,axiom,
~ perp(skc23,skc19,skc24,skc21),
file('GEO642+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO642+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO642+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO642+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO642+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO642+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO642+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO642+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO642+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO642+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO642+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO642+1.p',unknown),
[] ).
cnf(75,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO642+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO642+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO642+1.p',unknown),
[] ).
cnf(101,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO642+1.p',unknown),
[] ).
cnf(127,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('GEO642+1.p',unknown),
[] ).
cnf(268,plain,
midp(skc25,skc24,skc20),
inference(res,[status(thm),theory(equality)],[1,17]),
[iquote('0:Res:1.0,17.0')] ).
cnf(543,plain,
( ~ midp(skc25,u,v)
| para(u,skc20,v,skc24) ),
inference(res,[status(thm),theory(equality)],[1,44]),
[iquote('0:Res:1.0,44.0')] ).
cnf(679,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[41,39]),
[iquote('0:Res:41.1,39.0')] ).
cnf(1190,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[40,63]),
[iquote('0:Res:40.1,63.0')] ).
cnf(1222,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[40,61]),
[iquote('0:Res:40.1,61.0')] ).
cnf(2493,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)],[41,127]),
[iquote('0:Res:41.1,127.3')] ).
cnf(2495,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)],[2493]),
[iquote('0:Obv:2493.0')] ).
cnf(2496,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2495]),
[iquote('0:Con:2495.2')] ).
cnf(2886,plain,
( ~ midp(skc25,u,v)
| para(u,skc20,skc24,v) ),
inference(res,[status(thm),theory(equality)],[543,21]),
[iquote('0:Res:543.1,21.0')] ).
cnf(3752,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1190,68]),
[iquote('0:Res:1190.1,68.0')] ).
cnf(3763,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1190,85]),
[iquote('0:Res:1190.1,85.1')] ).
cnf(3781,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[3763,3752]),
[iquote('0:MRR:3763.1,3752.1')] ).
cnf(4009,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1222,39]),
[iquote('0:Res:1222.1,39.0')] ).
cnf(13638,plain,
( ~ midp(skc25,skc24,skc20)
| cyclic(skc20,skc20,skc24,u) ),
inference(res,[status(thm),theory(equality)],[2886,3781]),
[iquote('0:Res:2886.1,3781.0')] ).
cnf(13640,plain,
cyclic(skc20,skc20,skc24,u),
inference(mrr,[status(thm)],[13638,268]),
[iquote('0:MRR:13638.0,268.0')] ).
cnf(13649,plain,
para(skc24,skc20,skc24,skc20),
inference(res,[status(thm),theory(equality)],[13640,679]),
[iquote('0:Res:13640.0,679.0')] ).
cnf(13777,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[13649,4009]),
[iquote('0:Res:13649.0,4009.0')] ).
cnf(13781,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[3781,13777]),
[iquote('0:MRR:3781.0,13777.0')] ).
cnf(14872,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[13781,101]),
[iquote('0:Res:13781.0,101.0')] ).
cnf(14873,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[13781,53]),
[iquote('0:Res:13781.0,53.0')] ).
cnf(14929,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[14873,13781]),
[iquote('0:MRR:14873.0,13781.0')] ).
cnf(14933,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[127,14929]),
[iquote('0:MRR:127.2,127.1,127.0,14929.0')] ).
cnf(14948,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[75,14929]),
[iquote('0:MRR:75.1,14929.0')] ).
cnf(14950,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2496,14929]),
[iquote('0:MRR:2496.1,2496.0,14929.0')] ).
cnf(15183,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[14872,14950]),
[iquote('0:MRR:14872.0,14872.1,14950.0,14950.0')] ).
cnf(15203,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[98,15183]),
[iquote('0:MRR:98.0,15183.0')] ).
cnf(15212,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[14948,15183]),
[iquote('0:MRR:14948.0,15183.0')] ).
cnf(17409,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[15212,15203]),
[iquote('0:Res:15212.0,15203.0')] ).
cnf(18354,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[17409,14933]),
[iquote('0:Res:17409.0,14933.0')] ).
cnf(18374,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[55,18354]),
[iquote('0:MRR:55.1,55.0,18354.0')] ).
cnf(18382,plain,
$false,
inference(unc,[status(thm)],[18374,14]),
[iquote('0:UnC:18374.0,14.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO642+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 18:51:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.89/8.06
% 7.89/8.06 SPASS V 3.9
% 7.89/8.06 SPASS beiseite: Proof found.
% 7.89/8.06 % SZS status Theorem
% 7.89/8.06 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.89/8.06 SPASS derived 17921 clauses, backtracked 0 clauses, performed 0 splits and kept 9551 clauses.
% 7.89/8.06 SPASS allocated 97432 KBytes.
% 7.89/8.06 SPASS spent 0:00:07.61 on the problem.
% 7.89/8.06 0:00:00.04 for the input.
% 7.89/8.06 0:00:00.22 for the FLOTTER CNF translation.
% 7.89/8.06 0:00:00.32 for inferences.
% 7.89/8.06 0:00:00.00 for the backtracking.
% 7.89/8.06 0:00:06.54 for the reduction.
% 7.89/8.06
% 7.89/8.06
% 7.89/8.06 Here is a proof with depth 5, length 49 :
% 7.89/8.06 % SZS output start Refutation
% See solution above
% 7.89/8.06 Formulae used in the proof : exemplo6GDDFULL81109108 ruleD11 ruleD4 ruleD39 ruleD40 ruleD41 ruleD63 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD43
% 7.89/8.06
%------------------------------------------------------------------------------