%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO608+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 06:25:29 EDT 2022
% Result : Theorem 13.00s 13.21s
% Output : Refutation 13.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of clauses : 43 ( 14 unt; 2 nHn; 43 RR)
% Number of literals : 90 ( 0 equ; 46 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 13 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
midp(skc11,skc15,skc14),
file('GEO608+1.p',unknown),
[] ).
cnf(8,axiom,
~ perp(skc11,skc12,skc12,skc13),
file('GEO608+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO608+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO608+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO608+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO608+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO608+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO608+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO608+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO608+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('GEO608+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('GEO608+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('GEO608+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('GEO608+1.p',unknown),
[] ).
cnf(95,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO608+1.p',unknown),
[] ).
cnf(121,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('GEO608+1.p',unknown),
[] ).
cnf(137,plain,
midp(skc11,skc14,skc15),
inference(res,[status(thm),theory(equality)],[3,11]),
[iquote('0:Res:3.0,11.0')] ).
cnf(139,plain,
( ~ midp(skc11,u,v)
| para(u,skc15,v,skc14) ),
inference(res,[status(thm),theory(equality)],[3,38]),
[iquote('0:Res:3.0,38.1')] ).
cnf(698,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[35,33]),
[iquote('0:Res:35.1,33.0')] ).
cnf(1250,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(1289,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(2870,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)],[35,121]),
[iquote('0:Res:35.1,121.3')] ).
cnf(2872,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)],[2870]),
[iquote('0:Obv:2870.0')] ).
cnf(2873,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2872]),
[iquote('0:Con:2872.2')] ).
cnf(3553,plain,
( ~ midp(skc11,u,v)
| para(u,skc15,skc14,v) ),
inference(res,[status(thm),theory(equality)],[139,15]),
[iquote('0:Res:139.1,15.0')] ).
cnf(4645,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1250,62]),
[iquote('0:Res:1250.1,62.0')] ).
cnf(4656,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1250,79]),
[iquote('0:Res:1250.1,79.1')] ).
cnf(4670,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4656,4645]),
[iquote('0:MRR:4656.1,4645.1')] ).
cnf(4978,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1289,33]),
[iquote('0:Res:1289.1,33.0')] ).
cnf(35092,plain,
( ~ midp(skc11,skc14,skc15)
| cyclic(skc15,skc15,skc14,u) ),
inference(res,[status(thm),theory(equality)],[3553,4670]),
[iquote('0:Res:3553.1,4670.0')] ).
cnf(35096,plain,
cyclic(skc15,skc15,skc14,u),
inference(mrr,[status(thm)],[35092,137]),
[iquote('0:MRR:35092.0,137.0')] ).
cnf(35109,plain,
para(skc14,skc15,skc14,skc15),
inference(res,[status(thm),theory(equality)],[35096,698]),
[iquote('0:Res:35096.0,698.0')] ).
cnf(35165,plain,
para(skc14,skc15,skc15,skc14),
inference(res,[status(thm),theory(equality)],[35109,15]),
[iquote('0:Res:35109.0,15.0')] ).
cnf(35232,plain,
para(skc15,skc14,skc14,skc15),
inference(res,[status(thm),theory(equality)],[35165,16]),
[iquote('0:Res:35165.0,16.0')] ).
cnf(35325,plain,
para(skc15,skc14,skc15,skc14),
inference(res,[status(thm),theory(equality)],[35232,15]),
[iquote('0:Res:35232.0,15.0')] ).
cnf(36252,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[35325,4978]),
[iquote('0:Res:35325.0,4978.0')] ).
cnf(36257,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4670,36252]),
[iquote('0:MRR:4670.0,36252.0')] ).
cnf(38435,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[36257,95]),
[iquote('0:Res:36257.0,95.0')] ).
cnf(38436,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[36257,47]),
[iquote('0:Res:36257.0,47.0')] ).
cnf(38493,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[38436,36257]),
[iquote('0:MRR:38436.0,36257.0')] ).
cnf(38514,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2873,38493]),
[iquote('0:MRR:2873.1,2873.0,38493.0')] ).
cnf(38787,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[38435,38514]),
[iquote('0:MRR:38435.0,38435.1,38514.0,38514.0')] ).
cnf(38788,plain,
$false,
inference(unc,[status(thm)],[38787,8]),
[iquote('0:UnC:38787.0,8.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO608+1 : TPTP v8.1.0. Released v7.5.0.
% 0.00/0.09 % Command : run_spass %d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Sat Jun 18 04:39:01 EDT 2022
% 0.09/0.29 % CPUTime :
% 13.00/13.21
% 13.00/13.21 SPASS V 3.9
% 13.00/13.21 SPASS beiseite: Proof found.
% 13.00/13.21 % SZS status Theorem
% 13.00/13.21 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.00/13.21 SPASS derived 38100 clauses, backtracked 0 clauses, performed 4 splits and kept 10482 clauses.
% 13.00/13.21 SPASS allocated 105693 KBytes.
% 13.00/13.21 SPASS spent 0:0:12.65 on the problem.
% 13.00/13.21 0:00:00.03 for the input.
% 13.00/13.21 0:00:00.19 for the FLOTTER CNF translation.
% 13.00/13.21 0:00:00.46 for inferences.
% 13.00/13.21 0:00:00.01 for the backtracking.
% 13.00/13.21 0:0:11.38 for the reduction.
% 13.00/13.21
% 13.00/13.21
% 13.00/13.21 Here is a proof with depth 8, length 43 :
% 13.00/13.21 % SZS output start Refutation
% See solution above
% 13.00/13.21 Formulae used in the proof : exemplo6GDDFULL618070 ruleD11 ruleD4 ruleD5 ruleD39 ruleD40 ruleD41 ruleD63 ruleD17 ruleD19 ruleD21 ruleD42a ruleD42b ruleD57 ruleD43
% 13.00/13.21
%------------------------------------------------------------------------------