TSTP Solution File: GEO629+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO629+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 06:25:36 EDT 2022
% Result : Theorem 5.36s 5.54s
% Output : Refutation 5.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 24
% Syntax : Number of clauses : 80 ( 34 unt; 2 nHn; 80 RR)
% Number of literals : 152 ( 0 equ; 71 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 18 ( 18 usr; 18 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
coll(skc14,skc22,skc23),
file('GEO629+1.p',unknown),
[] ).
cnf(12,axiom,
perp(skc15,skc20,skc22,skc21),
file('GEO629+1.p',unknown),
[] ).
cnf(13,axiom,
para(skc14,skc15,skc17,skc16),
file('GEO629+1.p',unknown),
[] ).
cnf(14,axiom,
~ para(skc17,skc20,skc18,skc19),
file('GEO629+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO629+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO629+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO629+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO629+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO629+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO629+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO629+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ coll(u,v,w)
| ~ cong(u,v,u,w)
| midp(u,v,w) ),
file('GEO629+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ midp(u,v,w)
| ~ perp(v,x,x,w)
| cong(v,u,x,u) ),
file('GEO629+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ para(u,v,w,x)
| ~ para(y,z,u,v)
| para(y,z,w,x) ),
file('GEO629+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO629+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO629+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO629+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(y,z,x1,x2,u,v,w,x) ),
file('GEO629+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO629+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO629+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO629+1.p',unknown),
[] ).
cnf(93,axiom,
( ~ para(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,w,x)
| para(y,z,x1,x2) ),
file('GEO629+1.p',unknown),
[] ).
cnf(101,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO629+1.p',unknown),
[] ).
cnf(127,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('GEO629+1.p',unknown),
[] ).
cnf(198,plain,
( ~ coll(skc14,skc22,u)
| coll(skc23,u,skc14) ),
inference(res,[status(thm),theory(equality)],[1,32]),
[iquote('0:Res:1.0,32.0')] ).
cnf(199,plain,
coll(skc14,skc23,skc22),
inference(res,[status(thm),theory(equality)],[1,15]),
[iquote('0:Res:1.0,15.0')] ).
cnf(202,plain,
( ~ coll(skc14,skc22,u)
| coll(u,skc23,skc14) ),
inference(res,[status(thm),theory(equality)],[1,32]),
[iquote('0:Res:1.0,32.1')] ).
cnf(226,plain,
eqangle(skc14,skc15,u,v,skc17,skc16,u,v),
inference(res,[status(thm),theory(equality)],[13,40]),
[iquote('0:Res:13.0,40.0')] ).
cnf(237,plain,
( ~ eqangle(u,v,w,x,skc14,skc15,skc17,skc16)
| para(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[13,93]),
[iquote('0:Res:13.0,93.1')] ).
cnf(247,plain,
( ~ perp(skc22,skc21,u,v)
| para(skc15,skc20,u,v) ),
inference(res,[status(thm),theory(equality)],[12,50]),
[iquote('0:Res:12.0,50.0')] ).
cnf(249,plain,
perp(skc22,skc21,skc15,skc20),
inference(res,[status(thm),theory(equality)],[12,24]),
[iquote('0:Res:12.0,24.0')] ).
cnf(258,plain,
coll(skc23,skc23,skc14),
inference(res,[status(thm),theory(equality)],[1,202]),
[iquote('0:Res:1.0,202.0')] ).
cnf(300,plain,
( ~ coll(skc14,skc22,u)
| coll(skc23,skc14,u) ),
inference(res,[status(thm),theory(equality)],[198,15]),
[iquote('0:Res:198.1,15.0')] ).
cnf(343,plain,
( ~ coll(skc14,skc22,u)
| coll(skc14,skc23,u) ),
inference(res,[status(thm),theory(equality)],[300,16]),
[iquote('0:Res:300.1,16.0')] ).
cnf(448,plain,
( ~ coll(skc14,skc23,u)
| coll(u,skc22,skc14) ),
inference(res,[status(thm),theory(equality)],[199,32]),
[iquote('0:Res:199.0,32.0')] ).
cnf(460,plain,
( ~ coll(skc23,skc23,u)
| coll(u,skc14,skc23) ),
inference(res,[status(thm),theory(equality)],[258,32]),
[iquote('0:Res:258.0,32.0')] ).
cnf(466,plain,
( ~ coll(skc14,skc22,u)
| ~ coll(skc14,skc23,v)
| coll(v,u,skc14) ),
inference(res,[status(thm),theory(equality)],[343,32]),
[iquote('0:Res:343.1,32.0')] ).
cnf(727,plain,
coll(skc22,skc22,skc14),
inference(res,[status(thm),theory(equality)],[199,448]),
[iquote('0:Res:199.0,448.0')] ).
cnf(734,plain,
( ~ coll(skc22,skc22,u)
| coll(u,skc14,skc22) ),
inference(res,[status(thm),theory(equality)],[727,32]),
[iquote('0:Res:727.0,32.0')] ).
cnf(864,plain,
( ~ perp(u,v,skc22,skc21)
| para(u,v,skc15,skc20) ),
inference(res,[status(thm),theory(equality)],[249,50]),
[iquote('0:Res:249.0,50.0')] ).
cnf(1296,plain,
eqangle(skc14,skc15,skc17,skc16,u,v,u,v),
inference(res,[status(thm),theory(equality)],[226,63]),
[iquote('0:Res:226.0,63.0')] ).
cnf(1299,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[40,63]),
[iquote('0:Res:40.1,63.0')] ).
cnf(2686,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)],[41,127]),
[iquote('0:Res:41.1,127.3')] ).
cnf(2691,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)],[2686]),
[iquote('0:Obv:2686.0')] ).
cnf(2692,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2691]),
[iquote('0:Con:2691.2')] ).
cnf(3212,plain,
( ~ perp(skc22,skc21,u,v)
| ~ para(w,x,skc15,skc20)
| para(w,x,u,v) ),
inference(res,[status(thm),theory(equality)],[247,49]),
[iquote('0:Res:247.1,49.0')] ).
cnf(5779,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1299,68]),
[iquote('0:Res:1299.1,68.0')] ).
cnf(5784,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1299,85]),
[iquote('0:Res:1299.1,85.1')] ).
cnf(5797,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[5784,5779]),
[iquote('0:MRR:5784.1,5779.1')] ).
cnf(10910,plain,
eqangle(u,v,u,v,skc14,skc15,skc17,skc16),
inference(res,[status(thm),theory(equality)],[1296,62]),
[iquote('0:Res:1296.0,62.0')] ).
cnf(11043,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[10910,237]),
[iquote('0:Res:10910.0,237.0')] ).
cnf(11049,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[5797,11043]),
[iquote('0:MRR:5797.0,11043.0')] ).
cnf(11219,plain,
coll(u,v,v),
inference(res,[status(thm),theory(equality)],[11043,19]),
[iquote('0:Res:11043.0,19.0')] ).
cnf(11368,plain,
coll(u,v,u),
inference(res,[status(thm),theory(equality)],[11219,16]),
[iquote('0:Res:11219.0,16.0')] ).
cnf(11849,plain,
coll(u,u,v),
inference(res,[status(thm),theory(equality)],[11368,15]),
[iquote('0:Res:11368.0,15.0')] ).
cnf(12179,plain,
coll(u,skc14,skc23),
inference(mrr,[status(thm)],[460,11849]),
[iquote('0:MRR:460.0,11849.0')] ).
cnf(12221,plain,
coll(u,skc14,skc22),
inference(mrr,[status(thm)],[734,11849]),
[iquote('0:MRR:734.0,11849.0')] ).
cnf(12296,plain,
coll(skc14,u,skc23),
inference(res,[status(thm),theory(equality)],[12179,16]),
[iquote('0:Res:12179.0,16.0')] ).
cnf(12465,plain,
coll(skc14,u,skc22),
inference(res,[status(thm),theory(equality)],[12221,16]),
[iquote('0:Res:12221.0,16.0')] ).
cnf(12526,plain,
coll(skc14,skc23,u),
inference(res,[status(thm),theory(equality)],[12296,15]),
[iquote('0:Res:12296.0,15.0')] ).
cnf(12528,plain,
( ~ coll(skc14,skc22,u)
| coll(v,u,skc14) ),
inference(mrr,[status(thm)],[466,12526]),
[iquote('0:MRR:466.1,12526.0')] ).
cnf(12752,plain,
coll(skc14,skc22,u),
inference(res,[status(thm),theory(equality)],[12465,15]),
[iquote('0:Res:12465.0,15.0')] ).
cnf(12754,plain,
coll(u,v,skc14),
inference(mrr,[status(thm)],[12528,12752]),
[iquote('0:MRR:12528.0,12752.0')] ).
cnf(13109,plain,
coll(u,skc14,v),
inference(res,[status(thm),theory(equality)],[12754,15]),
[iquote('0:Res:12754.0,15.0')] ).
cnf(13316,plain,
( ~ coll(u,skc14,v)
| coll(v,w,u) ),
inference(res,[status(thm),theory(equality)],[13109,32]),
[iquote('0:Res:13109.0,32.0')] ).
cnf(13333,plain,
coll(u,v,w),
inference(mrr,[status(thm)],[13316,13109]),
[iquote('0:MRR:13316.0,13109.0')] ).
cnf(13340,plain,
( ~ cong(u,v,u,w)
| midp(u,v,w) ),
inference(mrr,[status(thm)],[45,13333]),
[iquote('0:MRR:45.0,13333.0')] ).
cnf(13813,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[11049,101]),
[iquote('0:Res:11049.0,101.0')] ).
cnf(13814,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[11049,53]),
[iquote('0:Res:11049.0,53.0')] ).
cnf(13841,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[13814,11049]),
[iquote('0:MRR:13814.0,11049.0')] ).
cnf(13859,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2692,13841]),
[iquote('0:MRR:2692.1,2692.0,13841.0')] ).
cnf(14001,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[13813,13859]),
[iquote('0:MRR:13813.0,13813.1,13859.0,13859.0')] ).
cnf(14008,plain,
( ~ midp(u,v,w)
| cong(v,u,x,u) ),
inference(mrr,[status(thm)],[46,14001]),
[iquote('0:MRR:46.1,14001.0')] ).
cnf(14051,plain,
midp(u,v,v),
inference(res,[status(thm),theory(equality)],[13859,13340]),
[iquote('0:Res:13859.0,13340.0')] ).
cnf(14175,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[14051,14008]),
[iquote('0:Res:14051.0,14008.0')] ).
cnf(14181,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[55,14175]),
[iquote('0:MRR:55.1,55.0,14175.0')] ).
cnf(14190,plain,
para(u,v,skc15,skc20),
inference(mrr,[status(thm)],[864,14181]),
[iquote('0:MRR:864.0,14181.0')] ).
cnf(14287,plain,
( ~ para(u,v,skc15,skc20)
| para(u,v,w,x) ),
inference(mrr,[status(thm)],[3212,14181]),
[iquote('0:MRR:3212.0,14181.0')] ).
cnf(14352,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[14287,14190]),
[iquote('0:MRR:14287.0,14190.0')] ).
cnf(14353,plain,
$false,
inference(unc,[status(thm)],[14352,14]),
[iquote('0:UnC:14352.0,14.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO629+1 : TPTP v8.1.0. Released v7.5.0.
% 0.00/0.09 % Command : run_spass %d %s
% 0.08/0.29 % Computer : n029.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 600
% 0.08/0.29 % DateTime : Sat Jun 18 15:56:29 EDT 2022
% 0.08/0.29 % CPUTime :
% 5.36/5.54
% 5.36/5.54 SPASS V 3.9
% 5.36/5.54 SPASS beiseite: Proof found.
% 5.36/5.54 % SZS status Theorem
% 5.36/5.54 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.36/5.54 SPASS derived 13989 clauses, backtracked 0 clauses, performed 2 splits and kept 6264 clauses.
% 5.36/5.54 SPASS allocated 93340 KBytes.
% 5.36/5.54 SPASS spent 0:00:05.17 on the problem.
% 5.36/5.54 0:00:00.03 for the input.
% 5.36/5.54 0:00:00.23 for the FLOTTER CNF translation.
% 5.36/5.54 0:00:00.27 for inferences.
% 5.36/5.54 0:00:00.02 for the backtracking.
% 5.36/5.54 0:00:04.37 for the reduction.
% 5.36/5.54
% 5.36/5.54
% 5.36/5.54 Here is a proof with depth 7, length 80 :
% 5.36/5.54 % SZS output start Refutation
% See solution above
% 5.36/5.54 Formulae used in the proof : exemplo6GDDFULL8110992 ruleD1 ruleD2 ruleD66 ruleD8 ruleD3 ruleD40 ruleD41 ruleD67 ruleD52 ruleD6 ruleD9 ruleD17 ruleD56 ruleD20 ruleD21 ruleD42a ruleD42b ruleD73 ruleD57 ruleD43
% 5.36/5.54
%------------------------------------------------------------------------------