%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO651+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 06:25:43 EDT 2022
% Result : Theorem 35.06s 35.24s
% Output : Refutation 35.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 27
% Syntax : Number of clauses : 78 ( 25 unt; 5 nHn; 78 RR)
% Number of literals : 164 ( 0 equ; 82 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 : 18 ( 18 usr; 17 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(10,axiom,
~ cong(skc9,skc11,skc13,skc12),
file('GEO651+1.p',unknown),
[] ).
cnf(11,axiom,
eqangle(skc14,skc9,skc9,skc13,skc13,skc9,skc9,skc12),
file('GEO651+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO651+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ midp(u,v,w)
| cong(u,v,u,w) ),
file('GEO651+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO651+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO651+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO651+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ cong(u,v,w,x)
| cong(u,v,x,w) ),
file('GEO651+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ cong(u,v,w,x)
| cong(w,x,u,v) ),
file('GEO651+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO651+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO651+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO651+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ coll(u,v,w)
| ~ cong(u,v,u,w)
| midp(u,v,w) ),
file('GEO651+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO651+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO651+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ cong(u,v,w,x)
| ~ cong(y,z,u,v)
| cong(y,z,w,x) ),
file('GEO651+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO651+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO651+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(y,z,x1,x2,u,v,w,x) ),
file('GEO651+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO651+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO651+1.p',unknown),
[] ).
cnf(72,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO651+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO651+1.p',unknown),
[] ).
cnf(95,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO651+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO651+1.p',unknown),
[] ).
cnf(118,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| ~ eqangle(x3,x4,x5,x6,u,v,w,x)
| eqangle(x3,x4,x5,x6,y,z,x1,x2) ),
file('GEO651+1.p',unknown),
[] ).
cnf(124,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('GEO651+1.p',unknown),
[] ).
cnf(359,plain,
( ~ midp(u,v,w)
| cong(u,w,u,v) ),
inference(res,[status(thm),theory(equality)],[17,26]),
[iquote('0:Res:17.1,26.0')] ).
cnf(792,plain,
( ~ midp(u,v,w)
| ~ cong(x,y,u,v)
| cong(x,y,u,w) ),
inference(res,[status(thm),theory(equality)],[17,51]),
[iquote('0:Res:17.1,51.0')] ).
cnf(1259,plain,
( ~ para(u,v,u,v)
| coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[37,65]),
[iquote('0:Res:37.1,65.0')] ).
cnf(1332,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[37,60]),
[iquote('0:Res:37.1,60.0')] ).
cnf(1347,plain,
eqangle(skc13,skc9,skc9,skc12,skc14,skc9,skc9,skc13),
inference(res,[status(thm),theory(equality)],[11,59]),
[iquote('0:Res:11.0,59.0')] ).
cnf(1371,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[37,58]),
[iquote('0:Res:37.1,58.0')] ).
cnf(1809,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[37,82]),
[iquote('0:Res:37.1,82.1')] ).
cnf(2970,plain,
( ~ eqangle(u,v,w,x,skc14,skc9,skc9,skc13)
| eqangle(u,v,w,x,skc13,skc9,skc9,skc12) ),
inference(res,[status(thm),theory(equality)],[11,118]),
[iquote('0:Res:11.0,118.0')] ).
cnf(3176,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)],[38,124]),
[iquote('0:Res:38.1,124.3')] ).
cnf(3182,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)],[3176]),
[iquote('0:Obv:3176.0')] ).
cnf(3183,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3182]),
[iquote('0:Con:3182.2')] ).
cnf(3625,plain,
( ~ midp(u,v,w)
| cong(u,w,v,u) ),
inference(res,[status(thm),theory(equality)],[359,25]),
[iquote('0:Res:359.1,25.0')] ).
cnf(5674,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1332,65]),
[iquote('0:Res:1332.1,65.0')] ).
cnf(5685,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1332,82]),
[iquote('0:Res:1332.1,82.1')] ).
cnf(5698,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[5685,5674]),
[iquote('0:MRR:5685.1,5674.1')] ).
cnf(5947,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1371,36]),
[iquote('0:Res:1371.1,36.0')] ).
cnf(5960,plain,
( ~ para(u,v,u,w)
| ~ cyclic(x,v,u,x)
| ~ cyclic(x,v,u,w)
| ~ cyclic(x,v,u,u)
| cong(x,v,x,w) ),
inference(res,[status(thm),theory(equality)],[1371,124]),
[iquote('0:Res:1371.1,124.3')] ).
cnf(7916,plain,
eqangle(skc13,skc9,skc9,skc12,skc13,skc9,skc9,skc12),
inference(res,[status(thm),theory(equality)],[1347,2970]),
[iquote('0:Res:1347.0,2970.0')] ).
cnf(7932,plain,
eqangle(skc9,skc12,skc13,skc9,skc9,skc12,skc13,skc9),
inference(res,[status(thm),theory(equality)],[7916,58]),
[iquote('0:Res:7916.0,58.0')] ).
cnf(8458,plain,
para(skc9,skc12,skc9,skc12),
inference(res,[status(thm),theory(equality)],[7932,36]),
[iquote('0:Res:7932.0,36.0')] ).
cnf(8469,plain,
para(skc9,skc12,skc12,skc9),
inference(res,[status(thm),theory(equality)],[8458,18]),
[iquote('0:Res:8458.0,18.0')] ).
cnf(8483,plain,
para(skc12,skc9,skc9,skc12),
inference(res,[status(thm),theory(equality)],[8469,19]),
[iquote('0:Res:8469.0,19.0')] ).
cnf(8496,plain,
para(skc12,skc9,skc12,skc9),
inference(res,[status(thm),theory(equality)],[8483,18]),
[iquote('0:Res:8483.0,18.0')] ).
cnf(17419,plain,
( ~ midp(u,v,w)
| ~ midp(v,u,x)
| cong(u,w,v,x) ),
inference(res,[status(thm),theory(equality)],[3625,792]),
[iquote('0:Res:3625.1,792.1')] ).
cnf(21305,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[8496,5947]),
[iquote('0:Res:8496.0,5947.0')] ).
cnf(21349,plain,
( coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(mrr,[status(thm)],[1259,21305]),
[iquote('0:MRR:1259.0,21305.0')] ).
cnf(21350,plain,
( ~ coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(mrr,[status(thm)],[1809,21305]),
[iquote('0:MRR:1809.0,21305.0')] ).
cnf(21352,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[5698,21305]),
[iquote('0:MRR:5698.0,21305.0')] ).
cnf(21605,plain,
( coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(res,[status(thm),theory(equality)],[21349,24]),
[iquote('0:Res:21349.1,24.0')] ).
cnf(21619,plain,
cyclic(u,v,w,w),
inference(mrr,[status(thm)],[21605,21350]),
[iquote('0:MRR:21605.0,21350.0')] ).
cnf(21666,plain,
( ~ para(u,v,u,w)
| ~ cyclic(x,v,u,x)
| ~ cyclic(x,v,u,w)
| cong(x,v,x,w) ),
inference(mrr,[status(thm)],[5960,21619]),
[iquote('0:MRR:5960.3,21619.0')] ).
cnf(23636,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[21352,98]),
[iquote('0:Res:21352.0,98.0')] ).
cnf(23637,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[21352,50]),
[iquote('0:Res:21352.0,50.0')] ).
cnf(23855,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[23637,21352]),
[iquote('0:MRR:23637.0,21352.0')] ).
cnf(23859,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[124,23855]),
[iquote('0:MRR:124.2,124.1,124.0,23855.0')] ).
cnf(23874,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[72,23855]),
[iquote('0:MRR:72.1,23855.0')] ).
cnf(23876,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[3183,23855]),
[iquote('0:MRR:3183.1,3183.0,23855.0')] ).
cnf(24424,plain,
( ~ para(u,v,u,w)
| cong(x,v,x,w) ),
inference(mrr,[status(thm)],[21666,23855]),
[iquote('0:MRR:21666.2,21666.1,23855.0')] ).
cnf(24646,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[23636,23876]),
[iquote('0:MRR:23636.0,23636.1,23876.0,23876.0')] ).
cnf(24655,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[95,24646]),
[iquote('0:MRR:95.0,24646.0')] ).
cnf(24671,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[23874,24646]),
[iquote('0:MRR:23874.0,24646.0')] ).
cnf(29409,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[24671,24655]),
[iquote('0:Res:24671.0,24655.0')] ).
cnf(30438,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[29409,23859]),
[iquote('0:Res:29409.0,23859.0')] ).
cnf(30459,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[52,30438]),
[iquote('0:MRR:52.1,52.0,30438.0')] ).
cnf(30500,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[47,30459]),
[iquote('0:MRR:47.1,47.0,30459.0')] ).
cnf(32162,plain,
coll(u,v,w),
inference(mrr,[status(thm)],[16,30500]),
[iquote('0:MRR:16.0,30500.0')] ).
cnf(32296,plain,
cong(u,v,u,w),
inference(mrr,[status(thm)],[24424,30500]),
[iquote('0:MRR:24424.0,30500.0')] ).
cnf(33062,plain,
( ~ cong(u,v,u,w)
| midp(u,v,w) ),
inference(mrr,[status(thm)],[42,32162]),
[iquote('0:MRR:42.0,32162.0')] ).
cnf(33838,plain,
midp(u,v,w),
inference(mrr,[status(thm)],[33062,32296]),
[iquote('0:MRR:33062.0,32296.0')] ).
cnf(33895,plain,
cong(u,v,w,x),
inference(mrr,[status(thm)],[17419,33838]),
[iquote('0:MRR:17419.1,17419.0,33838.0')] ).
cnf(33947,plain,
$false,
inference(unc,[status(thm)],[33895,10]),
[iquote('0:UnC:33895.0,10.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO651+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jun 17 19:10:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 35.06/35.24
% 35.06/35.24 SPASS V 3.9
% 35.06/35.24 SPASS beiseite: Proof found.
% 35.06/35.24 % SZS status Theorem
% 35.06/35.24 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.06/35.24 SPASS derived 32786 clauses, backtracked 0 clauses, performed 3 splits and kept 17342 clauses.
% 35.06/35.24 SPASS allocated 108796 KBytes.
% 35.06/35.24 SPASS spent 0:0:34.74 on the problem.
% 35.06/35.24 0:00:00.04 for the input.
% 35.06/35.24 0:00:00.25 for the FLOTTER CNF translation.
% 35.06/35.24 0:00:00.80 for inferences.
% 35.06/35.24 0:00:00.36 for the backtracking.
% 35.06/35.24 0:0:32.39 for the reduction.
% 35.06/35.24
% 35.06/35.24
% 35.06/35.24 Here is a proof with depth 8, length 78 :
% 35.06/35.24 % SZS output start Refutation
% See solution above
% 35.06/35.24 Formulae used in the proof : exemplo6GDDFULLmoreE02212 ruleD66 ruleD68 ruleD4 ruleD5 ruleD16 ruleD23 ruleD24 ruleD39 ruleD40 ruleD41 ruleD67 ruleD9 ruleD17 ruleD25 ruleD56 ruleD19 ruleD20 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD22 ruleD43
% 35.06/35.24
%------------------------------------------------------------------------------