TSTP Solution File: GEO579+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO579+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 06:25:20 EDT 2022
% Result : Theorem 0.91s 1.11s
% Output : Refutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of clauses : 53 ( 35 unt; 0 nHn; 53 RR)
% Number of literals : 72 ( 0 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
coll(skc7,skc13,skc10),
file('GEO579+1.p',unknown),
[] ).
cnf(2,axiom,
coll(skc9,skc13,skc12),
file('GEO579+1.p',unknown),
[] ).
cnf(3,axiom,
coll(skc8,skc11,skc10),
file('GEO579+1.p',unknown),
[] ).
cnf(7,axiom,
~ coll(skc9,skc7,skc8),
file('GEO579+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO579+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO579+1.p',unknown),
[] ).
cnf(28,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO579+1.p',unknown),
[] ).
cnf(126,plain,
coll(skc8,skc10,skc11),
inference(res,[status(thm),theory(equality)],[3,11]),
[iquote('0:Res:3.0,11.0')] ).
cnf(127,plain,
coll(skc11,skc8,skc10),
inference(res,[status(thm),theory(equality)],[3,12]),
[iquote('0:Res:3.0,12.0')] ).
cnf(129,plain,
( ~ coll(skc8,skc11,u)
| coll(u,skc10,skc8) ),
inference(res,[status(thm),theory(equality)],[3,28]),
[iquote('0:Res:3.0,28.1')] ).
cnf(149,plain,
coll(skc9,skc12,skc13),
inference(res,[status(thm),theory(equality)],[2,11]),
[iquote('0:Res:2.0,11.0')] ).
cnf(171,plain,
( ~ coll(skc7,skc13,u)
| coll(skc10,u,skc7) ),
inference(res,[status(thm),theory(equality)],[1,28]),
[iquote('0:Res:1.0,28.0')] ).
cnf(172,plain,
coll(skc7,skc10,skc13),
inference(res,[status(thm),theory(equality)],[1,11]),
[iquote('0:Res:1.0,11.0')] ).
cnf(175,plain,
( ~ coll(skc7,skc13,u)
| coll(u,skc10,skc7) ),
inference(res,[status(thm),theory(equality)],[1,28]),
[iquote('0:Res:1.0,28.1')] ).
cnf(201,plain,
( ~ coll(skc8,u,skc7)
| ~ coll(skc8,u,skc9) ),
inference(res,[status(thm),theory(equality)],[28,7]),
[iquote('0:Res:28.2,7.0')] ).
cnf(260,plain,
coll(skc10,skc10,skc7),
inference(res,[status(thm),theory(equality)],[1,175]),
[iquote('0:Res:1.0,175.0')] ).
cnf(262,plain,
coll(skc10,skc10,skc8),
inference(res,[status(thm),theory(equality)],[3,129]),
[iquote('0:Res:3.0,129.0')] ).
cnf(281,plain,
coll(skc11,skc10,skc8),
inference(res,[status(thm),theory(equality)],[127,11]),
[iquote('0:Res:127.0,11.0')] ).
cnf(289,plain,
( ~ coll(skc7,skc13,u)
| coll(skc10,skc7,u) ),
inference(res,[status(thm),theory(equality)],[171,11]),
[iquote('0:Res:171.1,11.0')] ).
cnf(292,plain,
coll(skc10,skc7,skc10),
inference(res,[status(thm),theory(equality)],[260,11]),
[iquote('0:Res:260.0,11.0')] ).
cnf(420,plain,
( ~ coll(skc10,skc7,u)
| coll(u,skc10,skc10) ),
inference(res,[status(thm),theory(equality)],[292,28]),
[iquote('0:Res:292.0,28.0')] ).
cnf(421,plain,
( ~ coll(skc11,skc8,u)
| coll(u,skc10,skc11) ),
inference(res,[status(thm),theory(equality)],[127,28]),
[iquote('0:Res:127.0,28.0')] ).
cnf(427,plain,
( ~ coll(skc7,skc10,u)
| coll(u,skc13,skc7) ),
inference(res,[status(thm),theory(equality)],[172,28]),
[iquote('0:Res:172.0,28.0')] ).
cnf(428,plain,
( ~ coll(skc9,skc12,u)
| coll(u,skc13,skc9) ),
inference(res,[status(thm),theory(equality)],[149,28]),
[iquote('0:Res:149.0,28.0')] ).
cnf(434,plain,
( ~ coll(skc8,skc10,u)
| coll(u,skc11,skc8) ),
inference(res,[status(thm),theory(equality)],[126,28]),
[iquote('0:Res:126.0,28.0')] ).
cnf(439,plain,
( ~ coll(skc10,skc10,u)
| coll(u,skc7,skc10) ),
inference(res,[status(thm),theory(equality)],[260,28]),
[iquote('0:Res:260.0,28.0')] ).
cnf(442,plain,
( ~ coll(skc11,skc10,u)
| coll(u,skc8,skc11) ),
inference(res,[status(thm),theory(equality)],[281,28]),
[iquote('0:Res:281.0,28.0')] ).
cnf(475,plain,
( ~ coll(skc7,skc13,u)
| coll(u,skc10,skc10) ),
inference(res,[status(thm),theory(equality)],[289,420]),
[iquote('0:Res:289.1,420.0')] ).
cnf(479,plain,
coll(skc10,skc10,skc11),
inference(res,[status(thm),theory(equality)],[127,421]),
[iquote('0:Res:127.0,421.0')] ).
cnf(480,plain,
( ~ coll(skc10,skc10,u)
| coll(u,skc11,skc10) ),
inference(res,[status(thm),theory(equality)],[479,28]),
[iquote('0:Res:479.0,28.0')] ).
cnf(519,plain,
coll(skc13,skc13,skc7),
inference(res,[status(thm),theory(equality)],[172,427]),
[iquote('0:Res:172.0,427.0')] ).
cnf(522,plain,
( ~ coll(skc13,skc13,u)
| coll(u,skc7,skc13) ),
inference(res,[status(thm),theory(equality)],[519,28]),
[iquote('0:Res:519.0,28.0')] ).
cnf(556,plain,
coll(skc13,skc13,skc9),
inference(res,[status(thm),theory(equality)],[149,428]),
[iquote('0:Res:149.0,428.0')] ).
cnf(696,plain,
coll(skc8,skc7,skc10),
inference(res,[status(thm),theory(equality)],[262,439]),
[iquote('0:Res:262.0,439.0')] ).
cnf(701,plain,
coll(skc8,skc10,skc7),
inference(res,[status(thm),theory(equality)],[696,11]),
[iquote('0:Res:696.0,11.0')] ).
cnf(713,plain,
coll(skc7,skc11,skc8),
inference(res,[status(thm),theory(equality)],[701,434]),
[iquote('0:Res:701.0,434.0')] ).
cnf(728,plain,
coll(skc7,skc8,skc11),
inference(res,[status(thm),theory(equality)],[713,11]),
[iquote('0:Res:713.0,11.0')] ).
cnf(747,plain,
coll(skc8,skc7,skc11),
inference(res,[status(thm),theory(equality)],[728,12]),
[iquote('0:Res:728.0,12.0')] ).
cnf(784,plain,
coll(skc8,skc11,skc7),
inference(res,[status(thm),theory(equality)],[747,11]),
[iquote('0:Res:747.0,11.0')] ).
cnf(1197,plain,
coll(skc9,skc7,skc13),
inference(res,[status(thm),theory(equality)],[556,522]),
[iquote('0:Res:556.0,522.0')] ).
cnf(1201,plain,
coll(skc7,skc9,skc13),
inference(res,[status(thm),theory(equality)],[1197,12]),
[iquote('0:Res:1197.0,12.0')] ).
cnf(1218,plain,
coll(skc7,skc13,skc9),
inference(res,[status(thm),theory(equality)],[1201,11]),
[iquote('0:Res:1201.0,11.0')] ).
cnf(1247,plain,
coll(skc9,skc10,skc10),
inference(res,[status(thm),theory(equality)],[1218,475]),
[iquote('0:Res:1218.0,475.0')] ).
cnf(1301,plain,
coll(skc10,skc9,skc10),
inference(res,[status(thm),theory(equality)],[1247,12]),
[iquote('0:Res:1247.0,12.0')] ).
cnf(1361,plain,
coll(skc10,skc10,skc9),
inference(res,[status(thm),theory(equality)],[1301,11]),
[iquote('0:Res:1301.0,11.0')] ).
cnf(1461,plain,
coll(skc9,skc11,skc10),
inference(res,[status(thm),theory(equality)],[1361,480]),
[iquote('0:Res:1361.0,480.0')] ).
cnf(1529,plain,
coll(skc11,skc9,skc10),
inference(res,[status(thm),theory(equality)],[1461,12]),
[iquote('0:Res:1461.0,12.0')] ).
cnf(1588,plain,
coll(skc11,skc10,skc9),
inference(res,[status(thm),theory(equality)],[1529,11]),
[iquote('0:Res:1529.0,11.0')] ).
cnf(1635,plain,
coll(skc9,skc8,skc11),
inference(res,[status(thm),theory(equality)],[1588,442]),
[iquote('0:Res:1588.0,442.0')] ).
cnf(1680,plain,
coll(skc8,skc9,skc11),
inference(res,[status(thm),theory(equality)],[1635,12]),
[iquote('0:Res:1635.0,12.0')] ).
cnf(1716,plain,
coll(skc8,skc11,skc9),
inference(res,[status(thm),theory(equality)],[1680,11]),
[iquote('0:Res:1680.0,11.0')] ).
cnf(2821,plain,
~ coll(skc8,skc11,skc7),
inference(res,[status(thm),theory(equality)],[1716,201]),
[iquote('0:Res:1716.0,201.1')] ).
cnf(2823,plain,
$false,
inference(mrr,[status(thm)],[2821,784]),
[iquote('0:MRR:2821.0,784.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO579+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.11 % Command : run_spass %d %s
% 0.11/0.32 % Computer : n008.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sat Jun 18 05:55:22 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.91/1.11
% 0.91/1.11 SPASS V 3.9
% 0.91/1.11 SPASS beiseite: Proof found.
% 0.91/1.11 % SZS status Theorem
% 0.91/1.11 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.11 SPASS derived 2639 clauses, backtracked 0 clauses, performed 0 splits and kept 1796 clauses.
% 0.91/1.11 SPASS allocated 88490 KBytes.
% 0.91/1.11 SPASS spent 0:00:00.76 on the problem.
% 0.91/1.11 0:00:00.04 for the input.
% 0.91/1.11 0:00:00.20 for the FLOTTER CNF translation.
% 0.91/1.11 0:00:00.04 for inferences.
% 0.91/1.11 0:00:00.00 for the backtracking.
% 0.91/1.11 0:00:00.41 for the reduction.
% 0.91/1.11
% 0.91/1.11
% 0.91/1.11 Here is a proof with depth 17, length 53 :
% 0.91/1.11 % SZS output start Refutation
% See solution above
% 0.91/1.11 Formulae used in the proof : exemplo6GDDFULL416041 ruleD1 ruleD2 ruleD3
% 0.91/1.11
%------------------------------------------------------------------------------