TSTP Solution File: PUZ031+3 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PUZ031+3 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 0.46s
% 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(3,axiom,
wolf(skc11),
file('PUZ031+3.p',unknown),
[] ).
cnf(4,axiom,
fox(skc12),
file('PUZ031+3.p',unknown),
[] ).
cnf(5,axiom,
bird(skc13),
file('PUZ031+3.p',unknown),
[] ).
cnf(7,axiom,
snail(skc15),
file('PUZ031+3.p',unknown),
[] ).
cnf(9,axiom,
grain(skc17),
file('PUZ031+3.p',unknown),
[] ).
cnf(11,axiom,
plant(skf3(u)),
file('PUZ031+3.p',unknown),
[] ).
cnf(13,axiom,
( ~ wolf(u)
| animal(u) ),
file('PUZ031+3.p',unknown),
[] ).
cnf(14,axiom,
( ~ fox(u)
| animal(u) ),
file('PUZ031+3.p',unknown),
[] ).
cnf(15,axiom,
( ~ bird(u)
| animal(u) ),
file('PUZ031+3.p',unknown),
[] ).
cnf(17,axiom,
( ~ snail(u)
| animal(u) ),
file('PUZ031+3.p',unknown),
[] ).
cnf(19,axiom,
( ~ grain(u)
| plant(u) ),
file('PUZ031+3.p',unknown),
[] ).
cnf(21,axiom,
( ~ snail(u)
| eats(u,skf3(u)) ),
file('PUZ031+3.p',unknown),
[] ).
cnf(22,axiom,
( ~ snail(u)
| ~ bird(v)
| much_smaller(u,v) ),
file('PUZ031+3.p',unknown),
[] ).
cnf(24,axiom,
( ~ fox(u)
| ~ bird(v)
| much_smaller(v,u) ),
file('PUZ031+3.p',unknown),
[] ).
cnf(25,axiom,
( ~ wolf(u)
| ~ fox(v)
| much_smaller(v,u) ),
file('PUZ031+3.p',unknown),
[] ).
cnf(28,axiom,
( ~ grain(u)
| ~ wolf(v)
| ~ eats(v,u) ),
file('PUZ031+3.p',unknown),
[] ).
cnf(29,axiom,
( ~ snail(u)
| ~ bird(v)
| ~ eats(v,u) ),
file('PUZ031+3.p',unknown),
[] ).
cnf(30,axiom,
( ~ grain(u)
| ~ animal(v)
| ~ animal(w)
| ~ eats(v,u)
| ~ eats(w,v) ),
file('PUZ031+3.p',unknown),
[] ).
cnf(31,axiom,
( ~ plant(u)
| ~ animal(v)
| ~ plant(w)
| ~ animal(x)
| ~ eats(v,u)
| ~ much_smaller(v,x)
| eats(x,v)
| eats(x,w) ),
file('PUZ031+3.p',unknown),
[] ).
cnf(85,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)],[21,31]),
[iquote('0:Res:21.1,31.4')] ).
cnf(89,plain,
( ~ snail(u)
| ~ plant(v)
| ~ animal(w)
| ~ much_smaller(u,w)
| eats(w,u)
| eats(w,v) ),
inference(ssi,[status(thm)],[85,17,11]),
[iquote('0:SSi:85.2,85.1,17.0,11.1')] ).
cnf(102,plain,
( ~ snail(u)
| ~ bird(v)
| ~ snail(u)
| ~ plant(w)
| ~ animal(v)
| eats(v,u)
| eats(v,w) ),
inference(res,[status(thm),theory(equality)],[22,89]),
[iquote('0:Res:22.2,89.3')] ).
cnf(104,plain,
( ~ bird(u)
| ~ snail(v)
| ~ plant(w)
| ~ animal(u)
| eats(u,v)
| eats(u,w) ),
inference(obv,[status(thm),theory(equality)],[102]),
[iquote('0:Obv:102.0')] ).
cnf(105,plain,
( ~ bird(u)
| ~ snail(v)
| ~ plant(w)
| eats(u,v)
| eats(u,w) ),
inference(ssi,[status(thm)],[104,15]),
[iquote('0:SSi:104.3,15.1')] ).
cnf(106,plain,
( ~ bird(u)
| ~ snail(v)
| ~ plant(w)
| eats(u,w) ),
inference(mrr,[status(thm)],[105,29]),
[iquote('0:MRR:105.3,29.2')] ).
cnf(110,plain,
( ~ bird(u)
| ~ plant(v)
| eats(u,v) ),
inference(ems,[status(thm)],[106,7]),
[iquote('0:EmS:106.1,7.0')] ).
cnf(112,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)],[110,31]),
[iquote('0:Res:110.2,31.4')] ).
cnf(115,plain,
( ~ bird(u)
| ~ plant(v)
| ~ grain(v)
| ~ animal(u)
| ~ animal(w)
| ~ eats(w,u) ),
inference(res,[status(thm),theory(equality)],[110,30]),
[iquote('0:Res:110.2,30.3')] ).
cnf(126,plain,
( ~ bird(u)
| ~ grain(v)
| ~ animal(w)
| ~ eats(w,u) ),
inference(ssi,[status(thm)],[115,15,19]),
[iquote('0:SSi:115.3,115.1,15.1,19.1')] ).
cnf(127,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)],[112]),
[iquote('0:Obv:112.1')] ).
cnf(128,plain,
( ~ bird(u)
| ~ animal(u)
| ~ plant(v)
| ~ animal(w)
| ~ much_smaller(u,w)
| eats(w,u)
| eats(w,v) ),
inference(con,[status(thm)],[127]),
[iquote('0:Con:127.1')] ).
cnf(129,plain,
( ~ bird(u)
| ~ plant(v)
| ~ animal(w)
| ~ much_smaller(u,w)
| eats(w,u)
| eats(w,v) ),
inference(ssi,[status(thm)],[128,15]),
[iquote('0:SSi:128.1,15.1')] ).
cnf(135,plain,
( ~ bird(u)
| ~ animal(v)
| ~ eats(v,u) ),
inference(ems,[status(thm)],[126,9]),
[iquote('0:EmS:126.1,9.0')] ).
cnf(136,plain,
( ~ bird(u)
| ~ plant(v)
| ~ animal(w)
| ~ much_smaller(u,w)
| eats(w,v) ),
inference(mrr,[status(thm)],[129,135]),
[iquote('0:MRR:129.4,135.2')] ).
cnf(145,plain,
( ~ fox(u)
| ~ bird(v)
| ~ bird(v)
| ~ plant(w)
| ~ animal(u)
| eats(u,w) ),
inference(res,[status(thm),theory(equality)],[24,136]),
[iquote('0:Res:24.2,136.3')] ).
cnf(149,plain,
( ~ fox(u)
| ~ bird(v)
| ~ plant(w)
| ~ animal(u)
| eats(u,w) ),
inference(obv,[status(thm),theory(equality)],[145]),
[iquote('0:Obv:145.1')] ).
cnf(150,plain,
( ~ fox(u)
| ~ bird(v)
| ~ plant(w)
| eats(u,w) ),
inference(ssi,[status(thm)],[149,14]),
[iquote('0:SSi:149.3,14.1')] ).
cnf(152,plain,
( ~ fox(u)
| ~ plant(v)
| eats(u,v) ),
inference(ems,[status(thm)],[150,5]),
[iquote('0:EmS:150.1,5.0')] ).
cnf(155,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)],[152,31]),
[iquote('0:Res:152.2,31.4')] ).
cnf(158,plain,
( ~ fox(u)
| ~ plant(v)
| ~ grain(v)
| ~ animal(u)
| ~ animal(w)
| ~ eats(w,u) ),
inference(res,[status(thm),theory(equality)],[152,30]),
[iquote('0:Res:152.2,30.3')] ).
cnf(170,plain,
( ~ fox(u)
| ~ grain(v)
| ~ animal(w)
| ~ eats(w,u) ),
inference(ssi,[status(thm)],[158,14,19]),
[iquote('0:SSi:158.3,158.1,14.1,19.1')] ).
cnf(171,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)],[155]),
[iquote('0:Obv:155.1')] ).
cnf(172,plain,
( ~ fox(u)
| ~ animal(u)
| ~ plant(v)
| ~ animal(w)
| ~ much_smaller(u,w)
| eats(w,u)
| eats(w,v) ),
inference(con,[status(thm)],[171]),
[iquote('0:Con:171.1')] ).
cnf(173,plain,
( ~ fox(u)
| ~ plant(v)
| ~ animal(w)
| ~ much_smaller(u,w)
| eats(w,u)
| eats(w,v) ),
inference(ssi,[status(thm)],[172,14]),
[iquote('0:SSi:172.1,14.1')] ).
cnf(180,plain,
( ~ fox(u)
| ~ animal(v)
| ~ eats(v,u) ),
inference(ems,[status(thm)],[170,9]),
[iquote('0:EmS:170.1,9.0')] ).
cnf(181,plain,
( ~ fox(u)
| ~ plant(v)
| ~ animal(w)
| ~ much_smaller(u,w)
| eats(w,v) ),
inference(mrr,[status(thm)],[173,180]),
[iquote('0:MRR:173.4,180.2')] ).
cnf(193,plain,
( ~ wolf(u)
| ~ fox(v)
| ~ fox(v)
| ~ plant(w)
| ~ animal(u)
| eats(u,w) ),
inference(res,[status(thm),theory(equality)],[25,181]),
[iquote('0:Res:25.2,181.3')] ).
cnf(196,plain,
( ~ wolf(u)
| ~ fox(v)
| ~ plant(w)
| ~ animal(u)
| eats(u,w) ),
inference(obv,[status(thm),theory(equality)],[193]),
[iquote('0:Obv:193.1')] ).
cnf(197,plain,
( ~ wolf(u)
| ~ fox(v)
| ~ plant(w)
| eats(u,w) ),
inference(ssi,[status(thm)],[196,13]),
[iquote('0:SSi:196.3,13.1')] ).
cnf(198,plain,
( ~ wolf(u)
| ~ plant(v)
| eats(u,v) ),
inference(ems,[status(thm)],[197,4]),
[iquote('0:EmS:197.1,4.0')] ).
cnf(207,plain,
( ~ wolf(u)
| ~ plant(v)
| ~ grain(v)
| ~ wolf(u) ),
inference(res,[status(thm),theory(equality)],[198,28]),
[iquote('0:Res:198.2,28.2')] ).
cnf(215,plain,
( ~ plant(u)
| ~ grain(u)
| ~ wolf(v) ),
inference(obv,[status(thm),theory(equality)],[207]),
[iquote('0:Obv:207.0')] ).
cnf(216,plain,
( ~ grain(u)
| ~ wolf(v) ),
inference(ssi,[status(thm)],[215,19]),
[iquote('0:SSi:215.0,19.1')] ).
cnf(222,plain,
~ wolf(u),
inference(ems,[status(thm)],[216,9]),
[iquote('0:EmS:216.0,9.0')] ).
cnf(223,plain,
$false,
inference(unc,[status(thm)],[222,3]),
[iquote('0:UnC:222.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ031+3 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat May 28 20:01:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.46
% 0.18/0.46 SPASS V 3.9
% 0.18/0.46 SPASS beiseite: Proof found.
% 0.18/0.46 % SZS status Theorem
% 0.18/0.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 SPASS derived 104 clauses, backtracked 0 clauses, performed 0 splits and kept 59 clauses.
% 0.18/0.46 SPASS allocated 97768 KBytes.
% 0.18/0.46 SPASS spent 0:00:00.11 on the problem.
% 0.18/0.46 0:00:00.04 for the input.
% 0.18/0.46 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.46 0:00:00.00 for inferences.
% 0.18/0.46 0:00:00.00 for the backtracking.
% 0.18/0.46 0:00:00.01 for the reduction.
% 0.18/0.46
% 0.18/0.46
% 0.18/0.46 Here is a proof with depth 11, length 55 :
% 0.18/0.46 % SZS output start Refutation
% See solution above
% 0.18/0.46 Formulae used in the proof : wolf_type fox_type bird_type snail_type grain_type pel47_14a plant_type wolf_is_animal fox_is_animal bird_is_animal snail_is_animal grain_is_plant pel47_8 pel47_9 pel47_10 pel47_11a pel47_13 pel47 pel47_7
% 0.18/0.46
%------------------------------------------------------------------------------