%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PUZ031+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 0.18s 0.44s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 19
% Syntax : Number of clauses : 55 ( 8 unt; 14 nHn; 55 RR)
% Number of literals : 228 ( 0 equ; 172 neg)
% Maximal clause size : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 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+2.p',unknown),
[] ).
cnf(2,axiom,
fox(skc7),
file('PUZ031+2.p',unknown),
[] ).
cnf(3,axiom,
bird(skc8),
file('PUZ031+2.p',unknown),
[] ).
cnf(5,axiom,
snail(skc10),
file('PUZ031+2.p',unknown),
[] ).
cnf(6,axiom,
grain(skc11),
file('PUZ031+2.p',unknown),
[] ).
cnf(8,axiom,
plant(skf3(u)),
file('PUZ031+2.p',unknown),
[] ).
cnf(9,axiom,
( ~ wolf(u)
| animal(u) ),
file('PUZ031+2.p',unknown),
[] ).
cnf(10,axiom,
( ~ fox(u)
| animal(u) ),
file('PUZ031+2.p',unknown),
[] ).
cnf(11,axiom,
( ~ bird(u)
| animal(u) ),
file('PUZ031+2.p',unknown),
[] ).
cnf(13,axiom,
( ~ snail(u)
| animal(u) ),
file('PUZ031+2.p',unknown),
[] ).
cnf(14,axiom,
( ~ grain(u)
| plant(u) ),
file('PUZ031+2.p',unknown),
[] ).
cnf(16,axiom,
( ~ snail(u)
| eats(u,skf3(u)) ),
file('PUZ031+2.p',unknown),
[] ).
cnf(17,axiom,
( ~ snail(u)
| ~ bird(v)
| much_smaller(u,v) ),
file('PUZ031+2.p',unknown),
[] ).
cnf(19,axiom,
( ~ fox(u)
| ~ bird(v)
| much_smaller(v,u) ),
file('PUZ031+2.p',unknown),
[] ).
cnf(20,axiom,
( ~ wolf(u)
| ~ fox(v)
| much_smaller(v,u) ),
file('PUZ031+2.p',unknown),
[] ).
cnf(23,axiom,
( ~ grain(u)
| ~ wolf(v)
| ~ eats(v,u) ),
file('PUZ031+2.p',unknown),
[] ).
cnf(24,axiom,
( ~ snail(u)
| ~ bird(v)
| ~ eats(v,u) ),
file('PUZ031+2.p',unknown),
[] ).
cnf(25,axiom,
( ~ animal(u)
| ~ grain(v)
| ~ animal(w)
| ~ eats(u,v)
| ~ eats(w,u) ),
file('PUZ031+2.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+2.p',unknown),
[] ).
cnf(66,plain,
( ~ snail(u)
| ~ plant(skf3(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(70,plain,
( ~ snail(u)
| ~ plant(v)
| ~ animal(w)
| ~ much_smaller(u,w)
| eats(w,u)
| eats(w,v) ),
inference(ssi,[status(thm)],[66,13,8]),
[iquote('0:SSi:66.2,66.1,13.0,8.1')] ).
cnf(82,plain,
( ~ snail(u)
| ~ bird(v)
| ~ snail(u)
| ~ plant(w)
| ~ animal(v)
| eats(v,u)
| eats(v,w) ),
inference(res,[status(thm),theory(equality)],[17,70]),
[iquote('0:Res:17.2,70.3')] ).
cnf(84,plain,
( ~ bird(u)
| ~ snail(v)
| ~ plant(w)
| ~ animal(u)
| eats(u,v)
| eats(u,w) ),
inference(obv,[status(thm),theory(equality)],[82]),
[iquote('0:Obv:82.0')] ).
cnf(85,plain,
( ~ bird(u)
| ~ snail(v)
| ~ plant(w)
| eats(u,v)
| eats(u,w) ),
inference(ssi,[status(thm)],[84,11]),
[iquote('0:SSi:84.3,11.1')] ).
cnf(86,plain,
( ~ bird(u)
| ~ snail(v)
| ~ plant(w)
| eats(u,w) ),
inference(mrr,[status(thm)],[85,24]),
[iquote('0:MRR:85.3,24.2')] ).
cnf(90,plain,
( ~ bird(u)
| ~ plant(v)
| eats(u,v) ),
inference(ems,[status(thm)],[86,5]),
[iquote('0:EmS:86.1,5.0')] ).
cnf(91,plain,
( ~ bird(u)
| ~ plant(v)
| ~ animal(u)
| ~ grain(v)
| ~ animal(w)
| ~ eats(w,u) ),
inference(res,[status(thm),theory(equality)],[90,25]),
[iquote('0:Res:90.2,25.3')] ).
cnf(93,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)],[90,26]),
[iquote('0:Res:90.2,26.4')] ).
cnf(102,plain,
( ~ bird(u)
| ~ grain(v)
| ~ animal(w)
| ~ eats(w,u) ),
inference(ssi,[status(thm)],[91,11,14]),
[iquote('0:SSi:91.2,91.1,11.1,14.1')] ).
cnf(103,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)],[93]),
[iquote('0:Obv:93.1')] ).
cnf(104,plain,
( ~ bird(u)
| ~ animal(u)
| ~ plant(v)
| ~ animal(w)
| ~ much_smaller(u,w)
| eats(w,u)
| eats(w,v) ),
inference(con,[status(thm)],[103]),
[iquote('0:Con:103.1')] ).
cnf(105,plain,
( ~ bird(u)
| ~ plant(v)
| ~ animal(w)
| ~ much_smaller(u,w)
| eats(w,u)
| eats(w,v) ),
inference(ssi,[status(thm)],[104,11]),
[iquote('0:SSi:104.1,11.1')] ).
cnf(106,plain,
( ~ bird(u)
| ~ animal(v)
| ~ eats(v,u) ),
inference(ems,[status(thm)],[102,6]),
[iquote('0:EmS:102.1,6.0')] ).
cnf(107,plain,
( ~ bird(u)
| ~ plant(v)
| ~ animal(w)
| ~ much_smaller(u,w)
| eats(w,v) ),
inference(mrr,[status(thm)],[105,106]),
[iquote('0:MRR:105.4,106.2')] ).
cnf(108,plain,
( ~ fox(u)
| ~ bird(v)
| ~ bird(v)
| ~ plant(w)
| ~ animal(u)
| eats(u,w) ),
inference(res,[status(thm),theory(equality)],[19,107]),
[iquote('0:Res:19.2,107.3')] ).
cnf(112,plain,
( ~ fox(u)
| ~ bird(v)
| ~ plant(w)
| ~ animal(u)
| eats(u,w) ),
inference(obv,[status(thm),theory(equality)],[108]),
[iquote('0:Obv:108.1')] ).
cnf(113,plain,
( ~ fox(u)
| ~ bird(v)
| ~ plant(w)
| eats(u,w) ),
inference(ssi,[status(thm)],[112,10]),
[iquote('0:SSi:112.3,10.1')] ).
cnf(123,plain,
( ~ fox(u)
| ~ plant(v)
| eats(u,v) ),
inference(ems,[status(thm)],[113,3]),
[iquote('0:EmS:113.1,3.0')] ).
cnf(124,plain,
( ~ fox(u)
| ~ plant(v)
| ~ animal(u)
| ~ grain(v)
| ~ animal(w)
| ~ eats(w,u) ),
inference(res,[status(thm),theory(equality)],[123,25]),
[iquote('0:Res:123.2,25.3')] ).
cnf(127,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)],[123,26]),
[iquote('0:Res:123.2,26.4')] ).
cnf(136,plain,
( ~ fox(u)
| ~ grain(v)
| ~ animal(w)
| ~ eats(w,u) ),
inference(ssi,[status(thm)],[124,10,14]),
[iquote('0:SSi:124.2,124.1,10.1,14.1')] ).
cnf(137,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)],[127]),
[iquote('0:Obv:127.1')] ).
cnf(138,plain,
( ~ fox(u)
| ~ animal(u)
| ~ plant(v)
| ~ animal(w)
| ~ much_smaller(u,w)
| eats(w,u)
| eats(w,v) ),
inference(con,[status(thm)],[137]),
[iquote('0:Con:137.1')] ).
cnf(139,plain,
( ~ fox(u)
| ~ plant(v)
| ~ animal(w)
| ~ much_smaller(u,w)
| eats(w,u)
| eats(w,v) ),
inference(ssi,[status(thm)],[138,10]),
[iquote('0:SSi:138.1,10.1')] ).
cnf(140,plain,
( ~ fox(u)
| ~ animal(v)
| ~ eats(v,u) ),
inference(ems,[status(thm)],[136,6]),
[iquote('0:EmS:136.1,6.0')] ).
cnf(141,plain,
( ~ fox(u)
| ~ plant(v)
| ~ animal(w)
| ~ much_smaller(u,w)
| eats(w,v) ),
inference(mrr,[status(thm)],[139,140]),
[iquote('0:MRR:139.4,140.2')] ).
cnf(143,plain,
( ~ wolf(u)
| ~ fox(v)
| ~ fox(v)
| ~ plant(w)
| ~ animal(u)
| eats(u,w) ),
inference(res,[status(thm),theory(equality)],[20,141]),
[iquote('0:Res:20.2,141.3')] ).
cnf(146,plain,
( ~ wolf(u)
| ~ fox(v)
| ~ plant(w)
| ~ animal(u)
| eats(u,w) ),
inference(obv,[status(thm),theory(equality)],[143]),
[iquote('0:Obv:143.1')] ).
cnf(147,plain,
( ~ wolf(u)
| ~ fox(v)
| ~ plant(w)
| eats(u,w) ),
inference(ssi,[status(thm)],[146,9]),
[iquote('0:SSi:146.3,9.1')] ).
cnf(158,plain,
( ~ wolf(u)
| ~ plant(v)
| eats(u,v) ),
inference(ems,[status(thm)],[147,2]),
[iquote('0:EmS:147.1,2.0')] ).
cnf(167,plain,
( ~ wolf(u)
| ~ plant(v)
| ~ grain(v)
| ~ wolf(u) ),
inference(res,[status(thm),theory(equality)],[158,23]),
[iquote('0:Res:158.2,23.2')] ).
cnf(172,plain,
( ~ plant(u)
| ~ grain(u)
| ~ wolf(v) ),
inference(obv,[status(thm),theory(equality)],[167]),
[iquote('0:Obv:167.0')] ).
cnf(173,plain,
( ~ grain(u)
| ~ wolf(v) ),
inference(ssi,[status(thm)],[172,14]),
[iquote('0:SSi:172.0,14.1')] ).
cnf(178,plain,
~ wolf(u),
inference(ems,[status(thm)],[173,6]),
[iquote('0:EmS:173.0,6.0')] ).
cnf(179,plain,
$false,
inference(unc,[status(thm)],[178,1]),
[iquote('0:UnC:178.0,1.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : PUZ031+2 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n022.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 21:52:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44
% 0.18/0.44 SPASS V 3.9
% 0.18/0.44 SPASS beiseite: Proof found.
% 0.18/0.44 % SZS status Theorem
% 0.18/0.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 SPASS derived 78 clauses, backtracked 0 clauses, performed 0 splits and kept 48 clauses.
% 0.18/0.44 SPASS allocated 97729 KBytes.
% 0.18/0.44 SPASS spent 0:00:00.10 on the problem.
% 0.18/0.44 0:00:00.03 for the input.
% 0.18/0.44 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.44 0:00:00.00 for inferences.
% 0.18/0.44 0:00:00.00 for the backtracking.
% 0.18/0.44 0:00:00.01 for the reduction.
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 Here is a proof with depth 11, length 55 :
% 0.18/0.44 % SZS output start Refutation
% See solution above
% 0.18/0.44 Formulae used in the proof : wolf_type fox_type bird_type snail_type grain_type pel47_14a pel47_6_2 pel47_1_1 pel47_2_1 pel47_3_1 pel47_4_2 pel47_8 pel47_9 pel47_10 pel47_11a pel47_13 pel47 pel47_7
% 0.18/0.44
%------------------------------------------------------------------------------