TSTP Solution File: GEO605+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO605+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 06:25:28 EDT 2022
% Result : Theorem 33.37s 33.58s
% Output : Refutation 33.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of clauses : 40 ( 15 unt; 2 nHn; 40 RR)
% Number of literals : 83 ( 0 equ; 42 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 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(12,axiom,
~ perp(skc13,skc17,skc17,skc16),
file('GEO605+1.p',unknown),
[] ).
cnf(15,axiom,
eqangle(skc14,skc15,skc15,skc19,skc14,skc15,skc15,skc17),
file('GEO605+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO605+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO605+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO605+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO605+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO605+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO605+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO605+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO605+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO605+1.p',unknown),
[] ).
cnf(86,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO605+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ para(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,w,x)
| para(y,z,x1,x2) ),
file('GEO605+1.p',unknown),
[] ).
cnf(102,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO605+1.p',unknown),
[] ).
cnf(128,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('GEO605+1.p',unknown),
[] ).
cnf(1294,plain,
eqangle(skc14,skc15,skc14,skc15,skc15,skc19,skc15,skc17),
inference(res,[status(thm),theory(equality)],[15,64]),
[iquote('0:Res:15.0,64.0')] ).
cnf(1298,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[41,64]),
[iquote('0:Res:41.1,64.0')] ).
cnf(1332,plain,
eqangle(skc15,skc19,skc14,skc15,skc15,skc17,skc14,skc15),
inference(res,[status(thm),theory(equality)],[15,62]),
[iquote('0:Res:15.0,62.0')] ).
cnf(1336,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[41,62]),
[iquote('0:Res:41.1,62.0')] ).
cnf(3316,plain,
( ~ para(skc15,skc19,skc15,skc17)
| para(skc14,skc15,skc14,skc15) ),
inference(res,[status(thm),theory(equality)],[1294,94]),
[iquote('0:Res:1294.0,94.1')] ).
cnf(3366,plain,
para(skc15,skc19,skc15,skc17),
inference(res,[status(thm),theory(equality)],[1332,40]),
[iquote('0:Res:1332.0,40.0')] ).
cnf(3374,plain,
para(skc14,skc15,skc14,skc15),
inference(mrr,[status(thm)],[3316,3366]),
[iquote('0:MRR:3316.0,3366.0')] ).
cnf(3409,plain,
para(skc14,skc15,skc15,skc14),
inference(res,[status(thm),theory(equality)],[3374,22]),
[iquote('0:Res:3374.0,22.0')] ).
cnf(3458,plain,
para(skc15,skc14,skc14,skc15),
inference(res,[status(thm),theory(equality)],[3409,23]),
[iquote('0:Res:3409.0,23.0')] ).
cnf(3491,plain,
para(skc15,skc14,skc15,skc14),
inference(res,[status(thm),theory(equality)],[3458,22]),
[iquote('0:Res:3458.0,22.0')] ).
cnf(3610,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)],[42,128]),
[iquote('0:Res:42.1,128.3')] ).
cnf(3612,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)],[3610]),
[iquote('0:Obv:3610.0')] ).
cnf(3613,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3612]),
[iquote('0:Con:3612.2')] ).
cnf(7861,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1298,69]),
[iquote('0:Res:1298.1,69.0')] ).
cnf(7872,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1298,86]),
[iquote('0:Res:1298.1,86.1')] ).
cnf(7886,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[7872,7861]),
[iquote('0:MRR:7872.1,7861.1')] ).
cnf(8171,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1336,40]),
[iquote('0:Res:1336.1,40.0')] ).
cnf(24579,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[3491,8171]),
[iquote('0:Res:3491.0,8171.0')] ).
cnf(24613,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[7886,24579]),
[iquote('0:MRR:7886.0,24579.0')] ).
cnf(25837,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[24613,102]),
[iquote('0:Res:24613.0,102.0')] ).
cnf(25838,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[24613,54]),
[iquote('0:Res:24613.0,54.0')] ).
cnf(26148,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[25838,24613]),
[iquote('0:MRR:25838.0,24613.0')] ).
cnf(26169,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[3613,26148]),
[iquote('0:MRR:3613.1,3613.0,26148.0')] ).
cnf(27385,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[25837,26169]),
[iquote('0:MRR:25837.0,25837.1,26169.0,26169.0')] ).
cnf(27386,plain,
$false,
inference(unc,[status(thm)],[27385,12]),
[iquote('0:UnC:27385.0,12.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO605+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n015.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 14:59:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 33.37/33.58
% 33.37/33.58 SPASS V 3.9
% 33.37/33.58 SPASS beiseite: Proof found.
% 33.37/33.58 % SZS status Theorem
% 33.37/33.58 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.37/33.58 SPASS derived 26337 clauses, backtracked 0 clauses, performed 5 splits and kept 18387 clauses.
% 33.37/33.58 SPASS allocated 107684 KBytes.
% 33.37/33.58 SPASS spent 0:0:32.35 on the problem.
% 33.37/33.58 0:00:00.04 for the input.
% 33.37/33.58 0:00:00.21 for the FLOTTER CNF translation.
% 33.37/33.58 0:00:00.89 for inferences.
% 33.37/33.58 0:00:00.03 for the backtracking.
% 33.37/33.58 0:0:30.08 for the reduction.
% 33.37/33.58
% 33.37/33.58
% 33.37/33.58 Here is a proof with depth 6, length 40 :
% 33.37/33.58 % SZS output start Refutation
% See solution above
% 33.37/33.58 Formulae used in the proof : exemplo6GDDFULL618067 ruleD4 ruleD5 ruleD39 ruleD40 ruleD41 ruleD17 ruleD19 ruleD21 ruleD42a ruleD42b ruleD73 ruleD57 ruleD43
% 33.37/33.58
%------------------------------------------------------------------------------