%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO552+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.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 06:25:12 EDT 2022
% Result : Theorem 15.27s 15.44s
% Output : Refutation 15.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 19
% Syntax : Number of clauses : 51 ( 16 unt; 2 nHn; 51 RR)
% Number of literals : 107 ( 0 equ; 56 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(2,axiom,
midp(skc11,skc12,skc13),
file('GEO552+1.p',unknown),
[] ).
cnf(7,axiom,
~ perp(skc11,skc10,skc8,skc9),
file('GEO552+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO552+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO552+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ perp(u,v,w,x)
| perp(u,v,x,w) ),
file('GEO552+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO552+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO552+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO552+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO552+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO552+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO552+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO552+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO552+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO552+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO552+1.p',unknown),
[] ).
cnf(78,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO552+1.p',unknown),
[] ).
cnf(91,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO552+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO552+1.p',unknown),
[] ).
cnf(120,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('GEO552+1.p',unknown),
[] ).
cnf(159,plain,
midp(skc11,skc13,skc12),
inference(res,[status(thm),theory(equality)],[2,10]),
[iquote('0:Res:2.0,10.0')] ).
cnf(161,plain,
( ~ midp(skc11,u,v)
| para(u,skc12,v,skc13) ),
inference(res,[status(thm),theory(equality)],[2,37]),
[iquote('0:Res:2.0,37.1')] ).
cnf(234,plain,
~ perp(skc11,skc10,skc9,skc8),
inference(res,[status(thm),theory(equality)],[16,7]),
[iquote('0:Res:16.1,7.0')] ).
cnf(403,plain,
( ~ midp(skc11,u,v)
| para(u,skc12,skc13,v) ),
inference(res,[status(thm),theory(equality)],[161,14]),
[iquote('0:Res:161.1,14.0')] ).
cnf(626,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[34,32]),
[iquote('0:Res:34.1,32.0')] ).
cnf(1200,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[33,56]),
[iquote('0:Res:33.1,56.0')] ).
cnf(1239,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[33,54]),
[iquote('0:Res:33.1,54.0')] ).
cnf(2399,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)],[34,120]),
[iquote('0:Res:34.1,120.3')] ).
cnf(2401,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)],[2399]),
[iquote('0:Obv:2399.0')] ).
cnf(2402,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2401]),
[iquote('0:Con:2401.2')] ).
cnf(4134,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1200,61]),
[iquote('0:Res:1200.1,61.0')] ).
cnf(4145,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1200,78]),
[iquote('0:Res:1200.1,78.1')] ).
cnf(4159,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4145,4134]),
[iquote('0:MRR:4145.1,4134.1')] ).
cnf(4388,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1239,32]),
[iquote('0:Res:1239.1,32.0')] ).
cnf(11857,plain,
( ~ midp(skc11,skc13,skc12)
| cyclic(skc12,skc12,skc13,u) ),
inference(res,[status(thm),theory(equality)],[403,4159]),
[iquote('0:Res:403.1,4159.0')] ).
cnf(11862,plain,
cyclic(skc12,skc12,skc13,u),
inference(mrr,[status(thm)],[11857,159]),
[iquote('0:MRR:11857.0,159.0')] ).
cnf(11884,plain,
para(skc13,skc12,skc13,skc12),
inference(res,[status(thm),theory(equality)],[11862,626]),
[iquote('0:Res:11862.0,626.0')] ).
cnf(12734,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[11884,4388]),
[iquote('0:Res:11884.0,4388.0')] ).
cnf(12743,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4159,12734]),
[iquote('0:MRR:4159.0,12734.0')] ).
cnf(14234,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[12743,94]),
[iquote('0:Res:12743.0,94.0')] ).
cnf(14235,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[12743,46]),
[iquote('0:Res:12743.0,46.0')] ).
cnf(14331,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[14235,12743]),
[iquote('0:MRR:14235.0,12743.0')] ).
cnf(14335,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[120,14331]),
[iquote('0:MRR:120.2,120.1,120.0,14331.0')] ).
cnf(14350,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[68,14331]),
[iquote('0:MRR:68.1,14331.0')] ).
cnf(14352,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2402,14331]),
[iquote('0:MRR:2402.1,2402.0,14331.0')] ).
cnf(14713,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[14234,14352]),
[iquote('0:MRR:14234.0,14234.1,14352.0,14352.0')] ).
cnf(14725,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[91,14713]),
[iquote('0:MRR:91.0,14713.0')] ).
cnf(14764,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[14350,14713]),
[iquote('0:MRR:14350.0,14713.0')] ).
cnf(22703,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[14764,14725]),
[iquote('0:Res:14764.0,14725.0')] ).
cnf(24019,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[22703,14335]),
[iquote('0:Res:22703.0,14335.0')] ).
cnf(24039,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[48,24019]),
[iquote('0:MRR:48.1,48.0,24019.0')] ).
cnf(24048,plain,
$false,
inference(unc,[status(thm)],[24039,234]),
[iquote('0:UnC:24039.0,234.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO552+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n012.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 11:33:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 15.27/15.44
% 15.27/15.44 SPASS V 3.9
% 15.27/15.44 SPASS beiseite: Proof found.
% 15.27/15.44 % SZS status Theorem
% 15.27/15.44 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.27/15.44 SPASS derived 22404 clauses, backtracked 3969 clauses, performed 4 splits and kept 15660 clauses.
% 15.27/15.44 SPASS allocated 104083 KBytes.
% 15.27/15.44 SPASS spent 0:0:14.84 on the problem.
% 15.27/15.44 0:00:00.04 for the input.
% 15.27/15.44 0:00:00.23 for the FLOTTER CNF translation.
% 15.27/15.44 0:00:00.40 for inferences.
% 15.27/15.44 0:00:00.31 for the backtracking.
% 15.27/15.44 0:0:13.47 for the reduction.
% 15.27/15.44
% 15.27/15.44
% 15.27/15.44 Here is a proof with depth 5, length 51 :
% 15.27/15.44 % SZS output start Refutation
% See solution above
% 15.27/15.44 Formulae used in the proof : exemplo6GDDFULL012012 ruleD11 ruleD4 ruleD7 ruleD39 ruleD40 ruleD41 ruleD63 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD43
% 15.27/15.44
%------------------------------------------------------------------------------