%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO547+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 06:25:10 EDT 2022
% Result : Theorem 0.79s 1.02s
% Output : Refutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of clauses : 39 ( 28 unt; 0 nHn; 39 RR)
% Number of literals : 51 ( 0 equ; 14 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 : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
coll(skc10,skc15,skc12),
file('GEO547+1.p',unknown),
[] ).
cnf(2,axiom,
coll(skc11,skc15,skc13),
file('GEO547+1.p',unknown),
[] ).
cnf(3,axiom,
coll(skc9,skc13,skc12),
file('GEO547+1.p',unknown),
[] ).
cnf(9,axiom,
~ coll(skc9,skc10,skc11),
file('GEO547+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO547+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO547+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO547+1.p',unknown),
[] ).
cnf(124,plain,
( ~ coll(skc9,skc13,u)
| coll(skc12,u,skc9) ),
inference(res,[status(thm),theory(equality)],[3,27]),
[iquote('0:Res:3.0,27.0')] ).
cnf(125,plain,
coll(skc9,skc12,skc13),
inference(res,[status(thm),theory(equality)],[3,10]),
[iquote('0:Res:3.0,10.0')] ).
cnf(148,plain,
coll(skc11,skc13,skc15),
inference(res,[status(thm),theory(equality)],[2,10]),
[iquote('0:Res:2.0,10.0')] ).
cnf(151,plain,
( ~ coll(skc11,skc15,u)
| coll(u,skc13,skc11) ),
inference(res,[status(thm),theory(equality)],[2,27]),
[iquote('0:Res:2.0,27.1')] ).
cnf(171,plain,
coll(skc10,skc12,skc15),
inference(res,[status(thm),theory(equality)],[1,10]),
[iquote('0:Res:1.0,10.0')] ).
cnf(196,plain,
~ coll(skc10,skc9,skc11),
inference(res,[status(thm),theory(equality)],[11,9]),
[iquote('0:Res:11.1,9.0')] ).
cnf(264,plain,
coll(skc12,skc10,skc15),
inference(res,[status(thm),theory(equality)],[171,11]),
[iquote('0:Res:171.0,11.0')] ).
cnf(265,plain,
coll(skc13,skc11,skc15),
inference(res,[status(thm),theory(equality)],[148,11]),
[iquote('0:Res:148.0,11.0')] ).
cnf(281,plain,
coll(skc12,skc15,skc10),
inference(res,[status(thm),theory(equality)],[264,10]),
[iquote('0:Res:264.0,10.0')] ).
cnf(308,plain,
coll(skc13,skc13,skc11),
inference(res,[status(thm),theory(equality)],[2,151]),
[iquote('0:Res:2.0,151.0')] ).
cnf(418,plain,
( ~ coll(skc12,skc15,u)
| coll(u,skc10,skc12) ),
inference(res,[status(thm),theory(equality)],[281,27]),
[iquote('0:Res:281.0,27.0')] ).
cnf(423,plain,
( ~ coll(skc13,skc11,u)
| coll(u,skc15,skc13) ),
inference(res,[status(thm),theory(equality)],[265,27]),
[iquote('0:Res:265.0,27.0')] ).
cnf(426,plain,
( ~ coll(skc9,skc12,u)
| coll(u,skc13,skc9) ),
inference(res,[status(thm),theory(equality)],[125,27]),
[iquote('0:Res:125.0,27.0')] ).
cnf(430,plain,
( ~ coll(skc13,skc13,u)
| coll(u,skc11,skc13) ),
inference(res,[status(thm),theory(equality)],[308,27]),
[iquote('0:Res:308.0,27.0')] ).
cnf(506,plain,
( ~ coll(skc9,skc13,skc15)
| coll(skc9,skc10,skc12) ),
inference(res,[status(thm),theory(equality)],[124,418]),
[iquote('0:Res:124.1,418.0')] ).
cnf(689,plain,
coll(skc13,skc13,skc9),
inference(res,[status(thm),theory(equality)],[125,426]),
[iquote('0:Res:125.0,426.0')] ).
cnf(1173,plain,
coll(skc9,skc11,skc13),
inference(res,[status(thm),theory(equality)],[689,430]),
[iquote('0:Res:689.0,430.0')] ).
cnf(1183,plain,
coll(skc9,skc13,skc11),
inference(res,[status(thm),theory(equality)],[1173,10]),
[iquote('0:Res:1173.0,10.0')] ).
cnf(1197,plain,
( ~ coll(skc9,skc13,u)
| coll(u,skc11,skc9) ),
inference(res,[status(thm),theory(equality)],[1183,27]),
[iquote('0:Res:1183.0,27.0')] ).
cnf(1199,plain,
coll(skc13,skc9,skc11),
inference(res,[status(thm),theory(equality)],[1183,11]),
[iquote('0:Res:1183.0,11.0')] ).
cnf(1223,plain,
coll(skc13,skc11,skc9),
inference(res,[status(thm),theory(equality)],[1199,10]),
[iquote('0:Res:1199.0,10.0')] ).
cnf(1262,plain,
coll(skc9,skc15,skc13),
inference(res,[status(thm),theory(equality)],[1223,423]),
[iquote('0:Res:1223.0,423.0')] ).
cnf(1321,plain,
coll(skc9,skc13,skc15),
inference(res,[status(thm),theory(equality)],[1262,10]),
[iquote('0:Res:1262.0,10.0')] ).
cnf(1323,plain,
coll(skc9,skc10,skc12),
inference(mrr,[status(thm)],[506,1321]),
[iquote('0:MRR:506.0,1321.0')] ).
cnf(1414,plain,
coll(skc9,skc12,skc10),
inference(res,[status(thm),theory(equality)],[1323,10]),
[iquote('0:Res:1323.0,10.0')] ).
cnf(1487,plain,
coll(skc10,skc13,skc9),
inference(res,[status(thm),theory(equality)],[1414,426]),
[iquote('0:Res:1414.0,426.0')] ).
cnf(1549,plain,
coll(skc10,skc9,skc13),
inference(res,[status(thm),theory(equality)],[1487,10]),
[iquote('0:Res:1487.0,10.0')] ).
cnf(1590,plain,
coll(skc9,skc10,skc13),
inference(res,[status(thm),theory(equality)],[1549,11]),
[iquote('0:Res:1549.0,11.0')] ).
cnf(1651,plain,
coll(skc9,skc13,skc10),
inference(res,[status(thm),theory(equality)],[1590,10]),
[iquote('0:Res:1590.0,10.0')] ).
cnf(2518,plain,
coll(skc10,skc11,skc9),
inference(res,[status(thm),theory(equality)],[1651,1197]),
[iquote('0:Res:1651.0,1197.0')] ).
cnf(2533,plain,
coll(skc10,skc9,skc11),
inference(res,[status(thm),theory(equality)],[2518,10]),
[iquote('0:Res:2518.0,10.0')] ).
cnf(2535,plain,
$false,
inference(mrr,[status(thm)],[2533,196]),
[iquote('0:MRR:2533.0,196.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO547+1 : TPTP v8.1.0. Released v7.5.0.
% 0.14/0.14 % Command : run_spass %d %s
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sat Jun 18 04:17:19 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.79/1.02
% 0.79/1.02 SPASS V 3.9
% 0.79/1.02 SPASS beiseite: Proof found.
% 0.79/1.02 % SZS status Theorem
% 0.79/1.02 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.79/1.02 SPASS derived 2368 clauses, backtracked 0 clauses, performed 0 splits and kept 1457 clauses.
% 0.79/1.02 SPASS allocated 88495 KBytes.
% 0.79/1.02 SPASS spent 0:00:00.64 on the problem.
% 0.79/1.02 0:00:00.04 for the input.
% 0.79/1.02 0:00:00.22 for the FLOTTER CNF translation.
% 0.79/1.02 0:00:00.03 for inferences.
% 0.79/1.02 0:00:00.00 for the backtracking.
% 0.79/1.02 0:00:00.28 for the reduction.
% 0.79/1.02
% 0.79/1.02
% 0.79/1.02 Here is a proof with depth 12, length 39 :
% 0.79/1.02 % SZS output start Refutation
% See solution above
% 0.79/1.02 Formulae used in the proof : exemplo6GDDFULL012007 ruleD1 ruleD2 ruleD3
% 0.79/1.02
%------------------------------------------------------------------------------