TSTP Solution File: PUZ031+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PUZ031+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : Mon Jul 18 18:27:20 EDT 2022
% Result : Theorem 0.19s 0.44s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 20
% Syntax : Number of clauses : 55 ( 8 unt; 13 nHn; 55 RR)
% Number of literals : 226 ( 0 equ; 171 neg)
% Maximal clause size : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
wolf(skc6),
file('PUZ031+1.p',unknown),
[] ).
cnf(2,axiom,
fox(skc7),
file('PUZ031+1.p',unknown),
[] ).
cnf(3,axiom,
bird(skc8),
file('PUZ031+1.p',unknown),
[] ).
cnf(5,axiom,
snail(skc10),
file('PUZ031+1.p',unknown),
[] ).
cnf(6,axiom,
grain(skc11),
file('PUZ031+1.p',unknown),
[] ).
cnf(7,axiom,
plant(skf1(u)),
file('PUZ031+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ wolf(u)
| animal(u) ),
file('PUZ031+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ fox(u)
| animal(u) ),
file('PUZ031+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ bird(u)
| animal(u) ),
file('PUZ031+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ snail(u)
| animal(u) ),
file('PUZ031+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ grain(u)
| plant(u) ),
file('PUZ031+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ snail(u)
| skP0(u) ),
file('PUZ031+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ skP0(u)
| eats(u,skf1(u)) ),
file('PUZ031+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ bird(u)
| ~ snail(v)
| much_smaller(v,u) ),
file('PUZ031+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ fox(u)
| ~ bird(v)
| much_smaller(v,u) ),
file('PUZ031+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ wolf(u)
| ~ fox(v)
| much_smaller(v,u) ),
file('PUZ031+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ wolf(u)
| ~ grain(v)
| ~ eats(u,v) ),
file('PUZ031+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ snail(u)
| ~ bird(v)
| ~ eats(v,u) ),
file('PUZ031+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ animal(u)
| ~ grain(v)
| ~ animal(w)
| ~ eats(u,v)
| ~ eats(w,u) ),
file('PUZ031+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ plant(u)
| ~ animal(v)
| ~ plant(w)
| ~ animal(x)
| ~ eats(v,u)
| ~ much_smaller(v,x)
| eats(x,v)
| eats(x,w) ),
file('PUZ031+1.p',unknown),
[] ).
cnf(58,plain,
( ~ skP0(u)
| ~ plant(skf1(u))
| ~ animal(u)
| ~ plant(v)
| ~ animal(w)
| ~ much_smaller(u,w)
| eats(w,u)
| eats(w,v) ),
inference(res,[status(thm),theory(equality)],[16,26]),
[iquote('0:Res:16.1,26.4')] ).
cnf(60,plain,
( ~ skP0(u)
| ~ animal(u)
| ~ plant(v)
| ~ animal(w)
| ~ much_smaller(u,w)
| eats(w,u)
| eats(w,v) ),
inference(ssi,[status(thm)],[58,7]),
[iquote('0:SSi:58.1,7.0')] ).
cnf(63,plain,
( ~ bird(u)
| ~ snail(v)
| ~ skP0(v)
| ~ animal(v)
| ~ plant(w)
| ~ animal(u)
| eats(u,v)
| eats(u,w) ),
inference(res,[status(thm),theory(equality)],[17,60]),
[iquote('0:Res:17.2,60.4')] ).
cnf(68,plain,
( ~ bird(u)
| ~ snail(v)
| ~ plant(w)
| eats(u,v)
| eats(u,w) ),
inference(ssi,[status(thm)],[63,10,12,15]),
[iquote('0:SSi:63.5,63.3,63.2,10.1,12.1,15.1')] ).
cnf(69,plain,
( ~ bird(u)
| ~ snail(v)
| ~ plant(w)
| eats(u,w) ),
inference(mrr,[status(thm)],[68,24]),
[iquote('0:MRR:68.3,24.2')] ).
cnf(71,plain,
( ~ bird(u)
| ~ plant(v)
| eats(u,v) ),
inference(ems,[status(thm)],[69,5]),
[iquote('0:EmS:69.1,5.0')] ).
cnf(72,plain,
( ~ bird(u)
| ~ plant(v)
| ~ animal(u)
| ~ grain(v)
| ~ animal(w)
| ~ eats(w,u) ),
inference(res,[status(thm),theory(equality)],[71,25]),
[iquote('0:Res:71.2,25.3')] ).
cnf(76,plain,
( ~ bird(u)
| ~ plant(v)
| ~ plant(v)
| ~ animal(u)
| ~ plant(w)
| ~ animal(x)
| ~ much_smaller(u,x)
| eats(x,u)
| eats(x,w) ),
inference(res,[status(thm),theory(equality)],[71,26]),
[iquote('0:Res:71.2,26.4')] ).
cnf(83,plain,
( ~ bird(u)
| ~ grain(v)
| ~ animal(w)
| ~ eats(w,u) ),
inference(ssi,[status(thm)],[72,10,13]),
[iquote('0:SSi:72.2,72.1,10.1,13.1')] ).
cnf(84,plain,
( ~ bird(u)
| ~ plant(v)
| ~ animal(u)
| ~ plant(w)
| ~ animal(x)
| ~ much_smaller(u,x)
| eats(x,u)
| eats(x,w) ),
inference(obv,[status(thm),theory(equality)],[76]),
[iquote('0:Obv:76.1')] ).
cnf(85,plain,
( ~ bird(u)
| ~ animal(u)
| ~ plant(v)
| ~ animal(w)
| ~ much_smaller(u,w)
| eats(w,u)
| eats(w,v) ),
inference(con,[status(thm)],[84]),
[iquote('0:Con:84.1')] ).
cnf(86,plain,
( ~ bird(u)
| ~ plant(v)
| ~ animal(w)
| ~ much_smaller(u,w)
| eats(w,u)
| eats(w,v) ),
inference(ssi,[status(thm)],[85,10]),
[iquote('0:SSi:85.1,10.1')] ).
cnf(87,plain,
( ~ bird(u)
| ~ animal(v)
| ~ eats(v,u) ),
inference(ems,[status(thm)],[83,6]),
[iquote('0:EmS:83.1,6.0')] ).
cnf(88,plain,
( ~ bird(u)
| ~ plant(v)
| ~ animal(w)
| ~ much_smaller(u,w)
| eats(w,v) ),
inference(mrr,[status(thm)],[86,87]),
[iquote('0:MRR:86.4,87.2')] ).
cnf(94,plain,
( ~ fox(u)
| ~ bird(v)
| ~ bird(v)
| ~ plant(w)
| ~ animal(u)
| eats(u,w) ),
inference(res,[status(thm),theory(equality)],[19,88]),
[iquote('0:Res:19.2,88.3')] ).
cnf(98,plain,
( ~ fox(u)
| ~ bird(v)
| ~ plant(w)
| ~ animal(u)
| eats(u,w) ),
inference(obv,[status(thm),theory(equality)],[94]),
[iquote('0:Obv:94.1')] ).
cnf(99,plain,
( ~ fox(u)
| ~ bird(v)
| ~ plant(w)
| eats(u,w) ),
inference(ssi,[status(thm)],[98,9]),
[iquote('0:SSi:98.3,9.1')] ).
cnf(101,plain,
( ~ fox(u)
| ~ plant(v)
| eats(u,v) ),
inference(ems,[status(thm)],[99,3]),
[iquote('0:EmS:99.1,3.0')] ).
cnf(102,plain,
( ~ fox(u)
| ~ plant(v)
| ~ animal(u)
| ~ grain(v)
| ~ animal(w)
| ~ eats(w,u) ),
inference(res,[status(thm),theory(equality)],[101,25]),
[iquote('0:Res:101.2,25.3')] ).
cnf(107,plain,
( ~ fox(u)
| ~ plant(v)
| ~ plant(v)
| ~ animal(u)
| ~ plant(w)
| ~ animal(x)
| ~ much_smaller(u,x)
| eats(x,u)
| eats(x,w) ),
inference(res,[status(thm),theory(equality)],[101,26]),
[iquote('0:Res:101.2,26.4')] ).
cnf(114,plain,
( ~ fox(u)
| ~ grain(v)
| ~ animal(w)
| ~ eats(w,u) ),
inference(ssi,[status(thm)],[102,9,13]),
[iquote('0:SSi:102.2,102.1,9.1,13.1')] ).
cnf(115,plain,
( ~ fox(u)
| ~ plant(v)
| ~ animal(u)
| ~ plant(w)
| ~ animal(x)
| ~ much_smaller(u,x)
| eats(x,u)
| eats(x,w) ),
inference(obv,[status(thm),theory(equality)],[107]),
[iquote('0:Obv:107.1')] ).
cnf(116,plain,
( ~ fox(u)
| ~ animal(u)
| ~ plant(v)
| ~ animal(w)
| ~ much_smaller(u,w)
| eats(w,u)
| eats(w,v) ),
inference(con,[status(thm)],[115]),
[iquote('0:Con:115.1')] ).
cnf(117,plain,
( ~ fox(u)
| ~ plant(v)
| ~ animal(w)
| ~ much_smaller(u,w)
| eats(w,u)
| eats(w,v) ),
inference(ssi,[status(thm)],[116,9]),
[iquote('0:SSi:116.1,9.1')] ).
cnf(118,plain,
( ~ fox(u)
| ~ animal(v)
| ~ eats(v,u) ),
inference(ems,[status(thm)],[114,6]),
[iquote('0:EmS:114.1,6.0')] ).
cnf(119,plain,
( ~ fox(u)
| ~ plant(v)
| ~ animal(w)
| ~ much_smaller(u,w)
| eats(w,v) ),
inference(mrr,[status(thm)],[117,118]),
[iquote('0:MRR:117.4,118.2')] ).
cnf(130,plain,
( ~ wolf(u)
| ~ fox(v)
| ~ fox(v)
| ~ plant(w)
| ~ animal(u)
| eats(u,w) ),
inference(res,[status(thm),theory(equality)],[20,119]),
[iquote('0:Res:20.2,119.3')] ).
cnf(131,plain,
( ~ wolf(u)
| ~ fox(v)
| ~ plant(w)
| ~ animal(u)
| eats(u,w) ),
inference(obv,[status(thm),theory(equality)],[130]),
[iquote('0:Obv:130.1')] ).
cnf(132,plain,
( ~ wolf(u)
| ~ fox(v)
| ~ plant(w)
| eats(u,w) ),
inference(ssi,[status(thm)],[131,8]),
[iquote('0:SSi:131.3,8.1')] ).
cnf(133,plain,
( ~ wolf(u)
| ~ plant(v)
| eats(u,v) ),
inference(ems,[status(thm)],[132,2]),
[iquote('0:EmS:132.1,2.0')] ).
cnf(136,plain,
( ~ wolf(u)
| ~ plant(v)
| ~ wolf(u)
| ~ grain(v) ),
inference(res,[status(thm),theory(equality)],[133,23]),
[iquote('0:Res:133.2,23.2')] ).
cnf(145,plain,
( ~ plant(u)
| ~ wolf(v)
| ~ grain(u) ),
inference(obv,[status(thm),theory(equality)],[136]),
[iquote('0:Obv:136.0')] ).
cnf(146,plain,
( ~ wolf(u)
| ~ grain(v) ),
inference(ssi,[status(thm)],[145,13]),
[iquote('0:SSi:145.0,13.1')] ).
cnf(153,plain,
~ grain(u),
inference(ems,[status(thm)],[146,1]),
[iquote('0:EmS:146.0,1.0')] ).
cnf(154,plain,
$false,
inference(unc,[status(thm)],[153,6]),
[iquote('0:UnC:153.0,6.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : PUZ031+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat May 28 23:19:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44
% 0.19/0.44 SPASS V 3.9
% 0.19/0.44 SPASS beiseite: Proof found.
% 0.19/0.44 % SZS status Theorem
% 0.19/0.44 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 SPASS derived 66 clauses, backtracked 0 clauses, performed 0 splits and kept 47 clauses.
% 0.19/0.44 SPASS allocated 97719 KBytes.
% 0.19/0.44 SPASS spent 0:00:00.10 on the problem.
% 0.19/0.44 0:00:00.04 for the input.
% 0.19/0.44 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.44 0:00:00.00 for inferences.
% 0.19/0.44 0:00:00.00 for the backtracking.
% 0.19/0.44 0:00:00.01 for the reduction.
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 Here is a proof with depth 11, length 55 :
% 0.19/0.44 % SZS output start Refutation
% See solution above
% 0.19/0.44 Formulae used in the proof : pel47_1_2 pel47_2_2 pel47_3_2 pel47_5_2 pel47_6_1 pel47_14 pel47_6_2 pel47_1_1 pel47_2_1 pel47_3_1 pel47_5_1 pel47_8 pel47_9 pel47_10 pel47_11 pel47_13 pel47 pel47_7
% 0.19/0.44
%------------------------------------------------------------------------------