%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO659+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 06:25:46 EDT 2022
% Result : Theorem 22.93s 23.15s
% Output : Refutation 22.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 22
% Syntax : Number of clauses : 62 ( 21 unt; 2 nHn; 62 RR)
% Number of literals : 127 ( 0 equ; 64 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 : 17 ( 17 usr; 16 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
midp(skc23,skc20,skc17),
file('GEO659+1.p',unknown),
[] ).
cnf(13,axiom,
perp(skc13,skc20,skc17,skc18),
file('GEO659+1.p',unknown),
[] ).
cnf(15,axiom,
~ para(skc13,skc14,skc15,skc16),
file('GEO659+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO659+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO659+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO659+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO659+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO659+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO659+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO659+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ para(u,v,w,x)
| ~ para(y,z,u,v)
| para(y,z,w,x) ),
file('GEO659+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO659+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO659+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO659+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('GEO659+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('GEO659+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('GEO659+1.p',unknown),
[] ).
cnf(76,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO659+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('GEO659+1.p',unknown),
[] ).
cnf(99,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO659+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('GEO659+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('GEO659+1.p',unknown),
[] ).
cnf(216,plain,
midp(skc23,skc17,skc20),
inference(res,[status(thm),theory(equality)],[4,18]),
[iquote('0:Res:4.0,18.0')] ).
cnf(218,plain,
( ~ midp(skc23,u,v)
| para(u,skc20,v,skc17) ),
inference(res,[status(thm),theory(equality)],[4,45]),
[iquote('0:Res:4.0,45.1')] ).
cnf(645,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[42,40]),
[iquote('0:Res:42.1,40.0')] ).
cnf(917,plain,
( ~ perp(u,v,skc13,skc20)
| para(u,v,skc17,skc18) ),
inference(res,[status(thm),theory(equality)],[13,51]),
[iquote('0:Res:13.0,51.0')] ).
cnf(1354,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(1386,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(2835,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(2837,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)],[2835]),
[iquote('0:Obv:2835.0')] ).
cnf(2838,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2837]),
[iquote('0:Con:2837.2')] ).
cnf(3204,plain,
( ~ midp(skc23,u,v)
| para(u,skc20,skc17,v) ),
inference(res,[status(thm),theory(equality)],[218,22]),
[iquote('0:Res:218.1,22.0')] ).
cnf(3626,plain,
( ~ perp(u,v,skc13,skc20)
| para(skc17,skc18,u,v) ),
inference(res,[status(thm),theory(equality)],[917,23]),
[iquote('0:Res:917.1,23.0')] ).
cnf(4837,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1354,69]),
[iquote('0:Res:1354.1,69.0')] ).
cnf(4848,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1354,86]),
[iquote('0:Res:1354.1,86.1')] ).
cnf(4864,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4848,4837]),
[iquote('0:MRR:4848.1,4837.1')] ).
cnf(5087,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1386,40]),
[iquote('0:Res:1386.1,40.0')] ).
cnf(15643,plain,
( ~ perp(u,v,skc13,skc20)
| ~ para(w,x,skc17,skc18)
| para(w,x,u,v) ),
inference(res,[status(thm),theory(equality)],[3626,50]),
[iquote('0:Res:3626.1,50.0')] ).
cnf(16033,plain,
( ~ midp(skc23,skc17,skc20)
| cyclic(skc20,skc20,skc17,u) ),
inference(res,[status(thm),theory(equality)],[3204,4864]),
[iquote('0:Res:3204.1,4864.0')] ).
cnf(16043,plain,
cyclic(skc20,skc20,skc17,u),
inference(mrr,[status(thm)],[16033,216]),
[iquote('0:MRR:16033.0,216.0')] ).
cnf(16086,plain,
para(skc17,skc20,skc17,skc20),
inference(res,[status(thm),theory(equality)],[16043,645]),
[iquote('0:Res:16043.0,645.0')] ).
cnf(16139,plain,
para(skc17,skc20,skc20,skc17),
inference(res,[status(thm),theory(equality)],[16086,22]),
[iquote('0:Res:16086.0,22.0')] ).
cnf(16191,plain,
para(skc20,skc17,skc17,skc20),
inference(res,[status(thm),theory(equality)],[16139,23]),
[iquote('0:Res:16139.0,23.0')] ).
cnf(16329,plain,
para(skc20,skc17,skc20,skc17),
inference(res,[status(thm),theory(equality)],[16191,22]),
[iquote('0:Res:16191.0,22.0')] ).
cnf(16740,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[16329,5087]),
[iquote('0:Res:16329.0,5087.0')] ).
cnf(16747,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4864,16740]),
[iquote('0:MRR:4864.0,16740.0')] ).
cnf(19604,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[16747,102]),
[iquote('0:Res:16747.0,102.0')] ).
cnf(19605,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[16747,54]),
[iquote('0:Res:16747.0,54.0')] ).
cnf(19737,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[19605,16747]),
[iquote('0:MRR:19605.0,16747.0')] ).
cnf(19741,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[128,19737]),
[iquote('0:MRR:128.2,128.1,128.0,19737.0')] ).
cnf(19756,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[76,19737]),
[iquote('0:MRR:76.1,19737.0')] ).
cnf(19758,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2838,19737]),
[iquote('0:MRR:2838.1,2838.0,19737.0')] ).
cnf(20230,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[19604,19758]),
[iquote('0:MRR:19604.0,19604.1,19758.0,19758.0')] ).
cnf(20246,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[99,20230]),
[iquote('0:MRR:99.0,20230.0')] ).
cnf(20255,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[19756,20230]),
[iquote('0:MRR:19756.0,20230.0')] ).
cnf(22541,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[20255,20246]),
[iquote('0:Res:20255.0,20246.0')] ).
cnf(23200,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[22541,19741]),
[iquote('0:Res:22541.0,19741.0')] ).
cnf(23220,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[56,23200]),
[iquote('0:MRR:56.1,56.0,23200.0')] ).
cnf(23276,plain,
para(u,v,skc17,skc18),
inference(mrr,[status(thm)],[917,23220]),
[iquote('0:MRR:917.0,23220.0')] ).
cnf(23603,plain,
( ~ para(u,v,skc17,skc18)
| para(u,v,w,x) ),
inference(mrr,[status(thm)],[15643,23220]),
[iquote('0:MRR:15643.0,23220.0')] ).
cnf(24825,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[23603,23276]),
[iquote('0:MRR:23603.0,23276.0')] ).
cnf(24826,plain,
$false,
inference(unc,[status(thm)],[24825,15]),
[iquote('0:UnC:24825.0,15.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO659+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.31 % Computer : n025.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 600
% 0.12/0.31 % DateTime : Sat Jun 18 07:50:58 EDT 2022
% 0.12/0.32 % CPUTime :
% 22.93/23.15
% 22.93/23.15 SPASS V 3.9
% 22.93/23.15 SPASS beiseite: Proof found.
% 22.93/23.15 % SZS status Theorem
% 22.93/23.15 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.93/23.15 SPASS derived 23968 clauses, backtracked 0 clauses, performed 3 splits and kept 15042 clauses.
% 22.93/23.15 SPASS allocated 103512 KBytes.
% 22.93/23.15 SPASS spent 0:0:22.62 on the problem.
% 22.93/23.15 0:00:00.04 for the input.
% 22.93/23.15 0:00:00.22 for the FLOTTER CNF translation.
% 22.93/23.15 0:00:00.56 for inferences.
% 22.93/23.15 0:00:00.01 for the backtracking.
% 22.93/23.15 0:0:21.10 for the reduction.
% 22.93/23.15
% 22.93/23.15
% 22.93/23.15 Here is a proof with depth 8, length 62 :
% 22.93/23.15 % SZS output start Refutation
% See solution above
% 22.93/23.16 Formulae used in the proof : exemplo6GDDFULLmoreE02317 ruleD11 ruleD4 ruleD5 ruleD39 ruleD40 ruleD41 ruleD63 ruleD6 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD43
% 22.93/23.16
%------------------------------------------------------------------------------