TSTP Solution File: NLP258-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NLP258-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 05:29:16 EDT 2022
% Result : Unsatisfiable 1.64s 1.85s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 25
% Syntax : Number of clauses : 47 ( 19 unt; 0 nHn; 47 RR)
% Number of literals : 406 ( 0 equ; 373 neg)
% Maximal clause size : 33 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-4 aty)
% Number of functors : 22 ( 22 usr; 20 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ smoke(u,v)
| event(u,v) ),
file('NLP258-1.p',unknown),
[] ).
cnf(29,axiom,
( ~ vincent_forename(u,v)
| forename(u,v) ),
file('NLP258-1.p',unknown),
[] ).
cnf(30,axiom,
( ~ jules_forename(u,v)
| forename(u,v) ),
file('NLP258-1.p',unknown),
[] ).
cnf(52,axiom,
( ~ man(u,v)
| ~ accessible_world(u,w)
| man(w,v) ),
file('NLP258-1.p',unknown),
[] ).
cnf(72,axiom,
actual_world(skc8),
file('NLP258-1.p',unknown),
[] ).
cnf(73,axiom,
man(skc8,skc15),
file('NLP258-1.p',unknown),
[] ).
cnf(75,axiom,
vincent_forename(skc8,skc14),
file('NLP258-1.p',unknown),
[] ).
cnf(76,axiom,
event(skc8,skc13),
file('NLP258-1.p',unknown),
[] ).
cnf(77,axiom,
present(skc8,skc13),
file('NLP258-1.p',unknown),
[] ).
cnf(78,axiom,
think_believe_consider(skc8,skc13),
file('NLP258-1.p',unknown),
[] ).
cnf(79,axiom,
jules_forename(skc8,skc11),
file('NLP258-1.p',unknown),
[] ).
cnf(81,axiom,
man(skc8,skc10),
file('NLP258-1.p',unknown),
[] ).
cnf(82,axiom,
state(skc8,skc9),
file('NLP258-1.p',unknown),
[] ).
cnf(83,axiom,
accessible_world(skc8,skc12),
file('NLP258-1.p',unknown),
[] ).
cnf(84,axiom,
proposition(skc8,skc12),
file('NLP258-1.p',unknown),
[] ).
cnf(85,axiom,
of(skc8,skc14,skc15),
file('NLP258-1.p',unknown),
[] ).
cnf(86,axiom,
agent(skc8,skc13,skc15),
file('NLP258-1.p',unknown),
[] ).
cnf(87,axiom,
theme(skc8,skc13,skc12),
file('NLP258-1.p',unknown),
[] ).
cnf(88,axiom,
of(skc8,skc11,skc10),
file('NLP258-1.p',unknown),
[] ).
cnf(89,axiom,
be(skc8,skc9,skc10,skc10),
file('NLP258-1.p',unknown),
[] ).
cnf(90,axiom,
( ~ man(skc12,u)
| smoke(skc12,skf2(v)) ),
file('NLP258-1.p',unknown),
[] ).
cnf(91,axiom,
( ~ man(skc12,u)
| present(skc12,skf2(v)) ),
file('NLP258-1.p',unknown),
[] ).
cnf(93,axiom,
( ~ man(skc12,u)
| agent(skc12,skf2(u),u) ),
file('NLP258-1.p',unknown),
[] ).
cnf(94,axiom,
( ~ actual_world(u)
| ~ man(u,v)
| ~ be(u,w,v,v)
| ~ smoke(x,y)
| ~ present(x,y)
| ~ agent(x,y,v)
| ~ event(x,y)
| ~ forename(u,z)
| ~ jules_forename(u,z)
| ~ of(u,z,v)
| ~ accessible_world(u,x)
| ~ proposition(u,x)
| ~ proposition(u,x1)
| ~ accessible_world(u,x1)
| ~ think_believe_consider(u,x2)
| ~ present(u,x2)
| ~ event(u,x2)
| ~ theme(u,x2,x1)
| ~ agent(u,x3,x4)
| ~ agent(u,x2,x4)
| ~ man(u,x4)
| ~ of(u,x5,x4)
| ~ vincent_forename(u,x5)
| ~ forename(u,x5)
| ~ theme(u,x3,x)
| ~ event(u,x3)
| ~ present(u,x3)
| ~ think_believe_consider(u,x3)
| ~ state(u,w)
| man(x1,skf4(x1)) ),
file('NLP258-1.p',unknown),
[] ).
cnf(95,axiom,
( ~ actual_world(u)
| ~ man(u,v)
| ~ be(u,w,v,v)
| ~ smoke(x,y)
| ~ present(x,y)
| ~ agent(x,y,v)
| ~ event(x,y)
| ~ forename(u,z)
| ~ jules_forename(u,z)
| ~ of(u,z,v)
| ~ accessible_world(u,x)
| ~ proposition(u,x)
| ~ proposition(u,x1)
| ~ accessible_world(u,x1)
| ~ smoke(x1,x2)
| ~ present(x1,x2)
| ~ agent(x1,x2,skf4(x1))
| ~ event(x1,x2)
| ~ think_believe_consider(u,x3)
| ~ present(u,x3)
| ~ event(u,x3)
| ~ theme(u,x3,x1)
| ~ agent(u,x4,x5)
| ~ agent(u,x3,x5)
| ~ man(u,x5)
| ~ of(u,x6,x5)
| ~ vincent_forename(u,x6)
| ~ forename(u,x6)
| ~ theme(u,x4,x)
| ~ event(u,x4)
| ~ present(u,x4)
| ~ think_believe_consider(u,x4)
| ~ state(u,w) ),
file('NLP258-1.p',unknown),
[] ).
cnf(96,plain,
( ~ actual_world(u)
| ~ state(u,v)
| ~ think_believe_consider(u,w)
| ~ present(u,w)
| ~ event(u,w)
| ~ vincent_forename(u,x)
| ~ man(u,y)
| ~ event(u,z)
| ~ present(u,z)
| ~ think_believe_consider(u,z)
| ~ accessible_world(u,x1)
| ~ proposition(u,x1)
| ~ proposition(u,x2)
| ~ accessible_world(u,x2)
| ~ jules_forename(u,x3)
| ~ present(x2,x4)
| ~ smoke(x2,x4)
| ~ man(u,x5)
| ~ theme(u,w,x2)
| ~ of(u,x,y)
| ~ agent(u,z,y)
| ~ agent(u,w,y)
| ~ theme(u,z,x1)
| ~ of(u,x3,x5)
| ~ agent(x2,x4,x5)
| ~ be(u,v,x5,x5)
| man(x1,skf4(x1)) ),
inference(mrr,[status(thm)],[94,1,30,29]),
[iquote('0:MRR:94.6,94.7,94.23,1.1,30.1,29.1')] ).
cnf(97,plain,
( ~ actual_world(u)
| ~ state(u,v)
| ~ think_believe_consider(u,w)
| ~ present(u,w)
| ~ event(u,w)
| ~ vincent_forename(u,x)
| ~ man(u,y)
| ~ event(u,z)
| ~ present(u,z)
| ~ think_believe_consider(u,z)
| ~ present(x1,x2)
| ~ smoke(x1,x2)
| ~ accessible_world(u,x1)
| ~ proposition(u,x1)
| ~ proposition(u,x3)
| ~ accessible_world(u,x3)
| ~ jules_forename(u,x4)
| ~ present(x3,x5)
| ~ smoke(x3,x5)
| ~ man(u,x6)
| ~ theme(u,w,x3)
| ~ of(u,x,y)
| ~ agent(u,z,y)
| ~ agent(u,w,y)
| ~ theme(u,z,x1)
| ~ of(u,x4,x6)
| ~ agent(x3,x5,x6)
| ~ agent(x1,x2,skf4(x1))
| ~ be(u,v,x6,x6) ),
inference(mrr,[status(thm)],[95,1,30,29]),
[iquote('0:MRR:95.6,95.7,95.17,95.27,1.1,30.1,1.1,29.1')] ).
cnf(155,plain,
( ~ accessible_world(skc8,u)
| man(u,skc10) ),
inference(res,[status(thm),theory(equality)],[81,52]),
[iquote('0:Res:81.0,52.1')] ).
cnf(164,plain,
( ~ actual_world(skc8)
| ~ man(skc8,u)
| ~ be(skc8,v,u,u)
| ~ smoke(w,x)
| ~ present(w,x)
| ~ agent(w,x,u)
| ~ of(skc8,skc11,u)
| ~ accessible_world(skc8,w)
| ~ proposition(skc8,w)
| ~ proposition(skc8,y)
| ~ accessible_world(skc8,y)
| ~ smoke(y,z)
| ~ present(y,z)
| ~ agent(y,z,skf4(y))
| ~ think_believe_consider(skc8,x1)
| ~ present(skc8,x1)
| ~ event(skc8,x1)
| ~ theme(skc8,x1,y)
| ~ agent(skc8,x2,x3)
| ~ agent(skc8,x1,x3)
| ~ man(skc8,x3)
| ~ of(skc8,x4,x3)
| ~ vincent_forename(skc8,x4)
| ~ theme(skc8,x2,w)
| ~ event(skc8,x2)
| ~ present(skc8,x2)
| ~ think_believe_consider(skc8,x2)
| ~ state(skc8,v) ),
inference(res,[status(thm),theory(equality)],[79,97]),
[iquote('0:Res:79.0,97.6')] ).
cnf(165,plain,
( ~ actual_world(skc8)
| ~ man(skc8,u)
| ~ be(skc8,v,u,u)
| ~ smoke(w,x)
| ~ present(w,x)
| ~ agent(w,x,u)
| ~ of(skc8,skc11,u)
| ~ accessible_world(skc8,w)
| ~ proposition(skc8,w)
| ~ proposition(skc8,y)
| ~ accessible_world(skc8,y)
| ~ think_believe_consider(skc8,z)
| ~ present(skc8,z)
| ~ event(skc8,z)
| ~ theme(skc8,z,y)
| ~ agent(skc8,x1,x2)
| ~ agent(skc8,z,x2)
| ~ man(skc8,x2)
| ~ of(skc8,x3,x2)
| ~ vincent_forename(skc8,x3)
| ~ theme(skc8,x1,w)
| ~ event(skc8,x1)
| ~ present(skc8,x1)
| ~ think_believe_consider(skc8,x1)
| ~ state(skc8,v)
| man(y,skf4(y)) ),
inference(res,[status(thm),theory(equality)],[79,96]),
[iquote('0:Res:79.0,96.6')] ).
cnf(198,plain,
( ~ present(u,v)
| ~ smoke(u,v)
| ~ state(skc8,w)
| ~ think_believe_consider(skc8,x)
| ~ present(skc8,x)
| ~ event(skc8,x)
| ~ vincent_forename(skc8,y)
| ~ man(skc8,z)
| ~ event(skc8,x1)
| ~ present(skc8,x1)
| ~ think_believe_consider(skc8,x1)
| ~ accessible_world(skc8,x2)
| ~ proposition(skc8,x2)
| ~ proposition(skc8,u)
| ~ accessible_world(skc8,u)
| ~ man(skc8,x3)
| ~ agent(u,v,x3)
| ~ theme(skc8,x,u)
| ~ of(skc8,y,z)
| ~ agent(skc8,x1,z)
| ~ agent(skc8,x,z)
| ~ theme(skc8,x1,x2)
| ~ of(skc8,skc11,x3)
| ~ be(skc8,w,x3,x3)
| man(x2,skf4(x2)) ),
inference(mrr,[status(thm)],[165,72]),
[iquote('0:MRR:165.0,72.0')] ).
cnf(207,plain,
( ~ present(u,v)
| ~ smoke(u,v)
| ~ present(w,x)
| ~ smoke(w,x)
| ~ state(skc8,y)
| ~ think_believe_consider(skc8,z)
| ~ present(skc8,z)
| ~ event(skc8,z)
| ~ vincent_forename(skc8,x1)
| ~ man(skc8,x2)
| ~ event(skc8,x3)
| ~ present(skc8,x3)
| ~ think_believe_consider(skc8,x3)
| ~ accessible_world(skc8,u)
| ~ proposition(skc8,u)
| ~ proposition(skc8,w)
| ~ accessible_world(skc8,w)
| ~ man(skc8,x4)
| ~ agent(w,x,x4)
| ~ agent(u,v,skf4(u))
| ~ theme(skc8,z,w)
| ~ of(skc8,x1,x2)
| ~ agent(skc8,x3,x2)
| ~ agent(skc8,z,x2)
| ~ theme(skc8,x3,u)
| ~ of(skc8,skc11,x4)
| ~ be(skc8,y,x4,x4) ),
inference(mrr,[status(thm)],[164,72]),
[iquote('0:MRR:164.0,72.0')] ).
cnf(214,plain,
( ~ accessible_world(skc8,skc12)
| smoke(skc12,skf2(u)) ),
inference(res,[status(thm),theory(equality)],[155,90]),
[iquote('0:Res:155.1,90.0')] ).
cnf(215,plain,
smoke(skc12,skf2(u)),
inference(mrr,[status(thm)],[214,83]),
[iquote('0:MRR:214.0,83.0')] ).
cnf(220,plain,
( ~ accessible_world(skc8,skc12)
| present(skc12,skf2(u)) ),
inference(res,[status(thm),theory(equality)],[155,91]),
[iquote('0:Res:155.1,91.0')] ).
cnf(221,plain,
present(skc12,skf2(u)),
inference(mrr,[status(thm)],[220,83]),
[iquote('0:MRR:220.0,83.0')] ).
cnf(1643,plain,
( ~ man(skc12,skf4(skc12))
| ~ present(skc12,skf2(skf4(skc12)))
| ~ smoke(skc12,skf2(skf4(skc12)))
| ~ present(u,v)
| ~ smoke(u,v)
| ~ state(skc8,w)
| ~ think_believe_consider(skc8,x)
| ~ present(skc8,x)
| ~ event(skc8,x)
| ~ vincent_forename(skc8,y)
| ~ man(skc8,z)
| ~ event(skc8,x1)
| ~ present(skc8,x1)
| ~ think_believe_consider(skc8,x1)
| ~ accessible_world(skc8,skc12)
| ~ proposition(skc8,skc12)
| ~ proposition(skc8,u)
| ~ accessible_world(skc8,u)
| ~ man(skc8,x2)
| ~ agent(u,v,x2)
| ~ theme(skc8,x,u)
| ~ of(skc8,y,z)
| ~ agent(skc8,x1,z)
| ~ agent(skc8,x,z)
| ~ theme(skc8,x1,skc12)
| ~ of(skc8,skc11,x2)
| ~ be(skc8,w,x2,x2) ),
inference(res,[status(thm),theory(equality)],[93,207]),
[iquote('0:Res:93.1,207.19')] ).
cnf(1647,plain,
( ~ present(u,v)
| ~ smoke(u,v)
| ~ state(skc8,w)
| ~ think_believe_consider(skc8,x)
| ~ present(skc8,x)
| ~ event(skc8,x)
| ~ vincent_forename(skc8,y)
| ~ man(skc8,z)
| ~ event(skc8,x1)
| ~ present(skc8,x1)
| ~ think_believe_consider(skc8,x1)
| ~ proposition(skc8,u)
| ~ accessible_world(skc8,u)
| ~ man(skc8,x2)
| ~ agent(u,v,x2)
| ~ theme(skc8,x,u)
| ~ of(skc8,y,z)
| ~ agent(skc8,x1,z)
| ~ agent(skc8,x,z)
| ~ theme(skc8,x1,skc12)
| ~ of(skc8,skc11,x2)
| ~ be(skc8,w,x2,x2) ),
inference(mrr,[status(thm)],[1643,198,221,215,83,84]),
[iquote('0:MRR:1643.0,1643.1,1643.2,1643.14,1643.15,198.24,221.0,215.0,83.0,84.0')] ).
cnf(3855,plain,
( ~ present(u,v)
| ~ smoke(u,v)
| ~ state(skc8,skc9)
| ~ think_believe_consider(skc8,w)
| ~ present(skc8,w)
| ~ event(skc8,w)
| ~ vincent_forename(skc8,x)
| ~ man(skc8,y)
| ~ event(skc8,z)
| ~ present(skc8,z)
| ~ think_believe_consider(skc8,z)
| ~ proposition(skc8,u)
| ~ accessible_world(skc8,u)
| ~ man(skc8,skc10)
| ~ agent(u,v,skc10)
| ~ theme(skc8,w,u)
| ~ of(skc8,x,y)
| ~ agent(skc8,z,y)
| ~ agent(skc8,w,y)
| ~ theme(skc8,z,skc12)
| ~ of(skc8,skc11,skc10) ),
inference(res,[status(thm),theory(equality)],[89,1647]),
[iquote('0:Res:89.0,1647.21')] ).
cnf(3858,plain,
( ~ present(u,v)
| ~ smoke(u,v)
| ~ think_believe_consider(skc8,w)
| ~ present(skc8,w)
| ~ event(skc8,w)
| ~ vincent_forename(skc8,x)
| ~ man(skc8,y)
| ~ event(skc8,z)
| ~ present(skc8,z)
| ~ think_believe_consider(skc8,z)
| ~ proposition(skc8,u)
| ~ accessible_world(skc8,u)
| ~ agent(u,v,skc10)
| ~ theme(skc8,w,u)
| ~ of(skc8,x,y)
| ~ agent(skc8,z,y)
| ~ agent(skc8,w,y)
| ~ theme(skc8,z,skc12) ),
inference(mrr,[status(thm)],[3855,82,81,88]),
[iquote('0:MRR:3855.2,3855.13,3855.20,82.0,81.0,88.0')] ).
cnf(6615,plain,
( ~ man(skc12,skc10)
| ~ present(skc12,skf2(skc10))
| ~ smoke(skc12,skf2(skc10))
| ~ think_believe_consider(skc8,u)
| ~ present(skc8,u)
| ~ event(skc8,u)
| ~ vincent_forename(skc8,v)
| ~ man(skc8,w)
| ~ event(skc8,x)
| ~ present(skc8,x)
| ~ think_believe_consider(skc8,x)
| ~ proposition(skc8,skc12)
| ~ accessible_world(skc8,skc12)
| ~ theme(skc8,u,skc12)
| ~ of(skc8,v,w)
| ~ agent(skc8,x,w)
| ~ agent(skc8,u,w)
| ~ theme(skc8,x,skc12) ),
inference(res,[status(thm),theory(equality)],[93,3858]),
[iquote('0:Res:93.1,3858.12')] ).
cnf(6620,plain,
( ~ man(skc12,skc10)
| ~ present(skc12,skf2(skc10))
| ~ smoke(skc12,skf2(skc10))
| ~ think_believe_consider(skc8,u)
| ~ present(skc8,u)
| ~ event(skc8,u)
| ~ vincent_forename(skc8,v)
| ~ man(skc8,w)
| ~ proposition(skc8,skc12)
| ~ accessible_world(skc8,skc12)
| ~ theme(skc8,u,skc12)
| ~ of(skc8,v,w)
| ~ agent(skc8,u,w) ),
inference(con,[status(thm)],[6615]),
[iquote('0:Con:6615.8')] ).
cnf(6621,plain,
( ~ think_believe_consider(skc8,u)
| ~ present(skc8,u)
| ~ event(skc8,u)
| ~ vincent_forename(skc8,v)
| ~ man(skc8,w)
| ~ theme(skc8,u,skc12)
| ~ of(skc8,v,w)
| ~ agent(skc8,u,w) ),
inference(mrr,[status(thm)],[6620,155,221,215,84,83]),
[iquote('0:MRR:6620.0,6620.1,6620.2,6620.8,6620.9,155.1,221.0,215.0,84.0,83.0')] ).
cnf(7164,plain,
( ~ think_believe_consider(skc8,skc13)
| ~ present(skc8,skc13)
| ~ event(skc8,skc13)
| ~ vincent_forename(skc8,u)
| ~ man(skc8,v)
| ~ of(skc8,u,v)
| ~ agent(skc8,skc13,v) ),
inference(res,[status(thm),theory(equality)],[87,6621]),
[iquote('0:Res:87.0,6621.5')] ).
cnf(7167,plain,
( ~ vincent_forename(skc8,u)
| ~ man(skc8,v)
| ~ of(skc8,u,v)
| ~ agent(skc8,skc13,v) ),
inference(mrr,[status(thm)],[7164,78,77,76]),
[iquote('0:MRR:7164.0,7164.1,7164.2,78.0,77.0,76.0')] ).
cnf(7169,plain,
( ~ vincent_forename(skc8,skc14)
| ~ man(skc8,skc15)
| ~ agent(skc8,skc13,skc15) ),
inference(res,[status(thm),theory(equality)],[85,7167]),
[iquote('0:Res:85.0,7167.2')] ).
cnf(7175,plain,
$false,
inference(mrr,[status(thm)],[7169,75,73,86]),
[iquote('0:MRR:7169.0,7169.1,7169.2,75.0,73.0,86.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : NLP258-1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.09 % Command : run_spass %d %s
% 0.09/0.28 % Computer : n009.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Fri Jul 1 01:21:07 EDT 2022
% 0.09/0.28 % CPUTime :
% 1.64/1.85
% 1.64/1.85 SPASS V 3.9
% 1.64/1.85 SPASS beiseite: Proof found.
% 1.64/1.85 % SZS status Theorem
% 1.64/1.85 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.64/1.85 SPASS derived 6378 clauses, backtracked 0 clauses, performed 0 splits and kept 1747 clauses.
% 1.64/1.85 SPASS allocated 81019 KBytes.
% 1.64/1.85 SPASS spent 0:00:01.56 on the problem.
% 1.64/1.85 0:00:00.03 for the input.
% 1.64/1.85 0:00:00.00 for the FLOTTER CNF translation.
% 1.64/1.85 0:00:00.13 for inferences.
% 1.64/1.85 0:00:00.00 for the backtracking.
% 1.64/1.85 0:00:01.23 for the reduction.
% 1.64/1.85
% 1.64/1.85
% 1.64/1.85 Here is a proof with depth 6, length 47 :
% 1.64/1.85 % SZS output start Refutation
% See solution above
% 1.73/1.93 Formulae used in the proof : clause1 clause29 clause30 clause52 clause72 clause73 clause75 clause76 clause77 clause78 clause79 clause81 clause82 clause83 clause84 clause85 clause86 clause87 clause88 clause89 clause90 clause91 clause93 clause94 clause95
% 1.73/1.93
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