TSTP Solution File: NLP251+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NLP251+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n008.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 05:29:09 EDT 2022

% Result   : Theorem 1.08s 1.23s
% Output   : Refutation 1.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   25
% Syntax   : Number of clauses     :   66 (  19 unt;   0 nHn;  66 RR)
%            Number of literals    :  761 (   0 equ; 716 neg)
%            Maximal clause size   :   41 (  11 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  16 usr;   1 prp; 0-4 aty)
%            Number of functors    :   26 (  26 usr;  24 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    actual_world(skc8),
    file('NLP251+1.p',unknown),
    [] ).

cnf(2,axiom,
    man(skc8,skc15),
    file('NLP251+1.p',unknown),
    [] ).

cnf(4,axiom,
    vincent_forename(skc8,skc14),
    file('NLP251+1.p',unknown),
    [] ).

cnf(5,axiom,
    event(skc8,skc13),
    file('NLP251+1.p',unknown),
    [] ).

cnf(6,axiom,
    present(skc8,skc13),
    file('NLP251+1.p',unknown),
    [] ).

cnf(7,axiom,
    think_believe_consider(skc8,skc13),
    file('NLP251+1.p',unknown),
    [] ).

cnf(8,axiom,
    jules_forename(skc8,skc11),
    file('NLP251+1.p',unknown),
    [] ).

cnf(10,axiom,
    man(skc8,skc10),
    file('NLP251+1.p',unknown),
    [] ).

cnf(11,axiom,
    state(skc8,skc9),
    file('NLP251+1.p',unknown),
    [] ).

cnf(12,axiom,
    accessible_world(skc8,skc12),
    file('NLP251+1.p',unknown),
    [] ).

cnf(13,axiom,
    proposition(skc8,skc12),
    file('NLP251+1.p',unknown),
    [] ).

cnf(14,axiom,
    of(skc8,skc14,skc15),
    file('NLP251+1.p',unknown),
    [] ).

cnf(15,axiom,
    agent(skc8,skc13,skc15),
    file('NLP251+1.p',unknown),
    [] ).

cnf(16,axiom,
    theme(skc8,skc13,skc12),
    file('NLP251+1.p',unknown),
    [] ).

cnf(17,axiom,
    of(skc8,skc11,skc10),
    file('NLP251+1.p',unknown),
    [] ).

cnf(18,axiom,
    be(skc8,skc9,skc10,skc10),
    file('NLP251+1.p',unknown),
    [] ).

cnf(19,axiom,
    ( ~ jules_forename(u,v)
    | forename(u,v) ),
    file('NLP251+1.p',unknown),
    [] ).

cnf(20,axiom,
    ( ~ vincent_forename(u,v)
    | forename(u,v) ),
    file('NLP251+1.p',unknown),
    [] ).

cnf(48,axiom,
    ( ~ smoke(u,v)
    | event(u,v) ),
    file('NLP251+1.p',unknown),
    [] ).

cnf(50,axiom,
    ( ~ man(skc12,u)
    | present(skc12,skf2(v)) ),
    file('NLP251+1.p',unknown),
    [] ).

cnf(51,axiom,
    ( ~ man(skc12,u)
    | smoke(skc12,skf2(v)) ),
    file('NLP251+1.p',unknown),
    [] ).

cnf(56,axiom,
    ( ~ man(skc12,u)
    | agent(skc12,skf2(u),u) ),
    file('NLP251+1.p',unknown),
    [] ).

cnf(71,axiom,
    ( ~ accessible_world(u,v)
    | ~ man(u,w)
    | man(v,w) ),
    file('NLP251+1.p',unknown),
    [] ).

cnf(94,axiom,
    ( ~ actual_world(u)
    | ~ think_believe_consider(u,v)
    | ~ present(u,v)
    | ~ event(u,v)
    | ~ theme(u,v,w)
    | ~ of(u,x,y)
    | ~ man(u,y)
    | ~ agent(u,v,y)
    | ~ forename(u,x)
    | ~ vincent_forename(u,x)
    | ~ of(u,z,x1)
    | ~ man(u,x1)
    | ~ event(w,x2)
    | ~ agent(w,x2,x1)
    | ~ present(w,x2)
    | ~ smoke(w,x2)
    | ~ forename(u,z)
    | ~ jules_forename(u,z)
    | ~ proposition(u,w)
    | ~ accessible_world(u,w)
    | ~ of(u,x3,x4)
    | ~ jules_forename(u,x3)
    | ~ forename(u,x3)
    | ~ be(u,x5,x4,x4)
    | ~ man(u,x4)
    | ~ state(u,x5)
    | ~ of(u,x6,x7)
    | ~ man(u,x7)
    | ~ agent(u,x8,x7)
    | ~ forename(u,x6)
    | ~ vincent_forename(u,x6)
    | ~ theme(u,x8,x9)
    | ~ event(u,x8)
    | ~ present(u,x8)
    | ~ think_believe_consider(u,x8)
    | ~ accessible_world(u,x9)
    | ~ proposition(u,x9)
    | man(x9,skf4(x9)) ),
    file('NLP251+1.p',unknown),
    [] ).

cnf(95,axiom,
    ( ~ actual_world(u)
    | ~ agent(v,w,skf4(v))
    | ~ present(v,w)
    | ~ smoke(v,w)
    | ~ event(v,w)
    | ~ think_believe_consider(u,x)
    | ~ present(u,x)
    | ~ event(u,x)
    | ~ theme(u,x,y)
    | ~ of(u,z,x1)
    | ~ man(u,x1)
    | ~ agent(u,x,x1)
    | ~ forename(u,z)
    | ~ vincent_forename(u,z)
    | ~ of(u,x2,x3)
    | ~ man(u,x3)
    | ~ event(y,x4)
    | ~ agent(y,x4,x3)
    | ~ present(y,x4)
    | ~ smoke(y,x4)
    | ~ forename(u,x2)
    | ~ jules_forename(u,x2)
    | ~ proposition(u,y)
    | ~ accessible_world(u,y)
    | ~ of(u,x5,x6)
    | ~ jules_forename(u,x5)
    | ~ forename(u,x5)
    | ~ be(u,x7,x6,x6)
    | ~ man(u,x6)
    | ~ state(u,x7)
    | ~ of(u,x8,x9)
    | ~ man(u,x9)
    | ~ agent(u,x10,x9)
    | ~ forename(u,x8)
    | ~ vincent_forename(u,x8)
    | ~ theme(u,x10,v)
    | ~ event(u,x10)
    | ~ present(u,x10)
    | ~ think_believe_consider(u,x10)
    | ~ accessible_world(u,v)
    | ~ proposition(u,v) ),
    file('NLP251+1.p',unknown),
    [] ).

cnf(96,plain,
    ( ~ actual_world(u)
    | ~ proposition(u,v)
    | ~ accessible_world(u,v)
    | ~ think_believe_consider(u,w)
    | ~ present(u,w)
    | ~ event(u,w)
    | ~ vincent_forename(u,x)
    | ~ man(u,y)
    | ~ state(u,z)
    | ~ man(u,x1)
    | ~ jules_forename(u,x2)
    | ~ accessible_world(u,x3)
    | ~ proposition(u,x3)
    | ~ jules_forename(u,x4)
    | ~ smoke(x3,x5)
    | ~ present(x3,x5)
    | ~ man(u,x6)
    | ~ vincent_forename(u,x7)
    | ~ man(u,x8)
    | ~ event(u,x9)
    | ~ present(u,x9)
    | ~ think_believe_consider(u,x9)
    | ~ theme(u,w,v)
    | ~ agent(u,w,y)
    | ~ of(u,x,y)
    | ~ of(u,x2,x1)
    | ~ agent(x3,x5,x6)
    | ~ of(u,x4,x6)
    | ~ agent(u,x9,x8)
    | ~ of(u,x7,x8)
    | ~ theme(u,x9,x3)
    | ~ be(u,z,x1,x1)
    | man(v,skf4(v)) ),
    inference(mrr,[status(thm)],[94,20,48,19]),
    [iquote('0:MRR:94.8,94.12,94.16,94.22,94.29,20.1,48.1,19.1,19.1,20.1')] ).

cnf(97,plain,
    ( ~ actual_world(u)
    | ~ proposition(u,v)
    | ~ accessible_world(u,v)
    | ~ think_believe_consider(u,w)
    | ~ present(u,w)
    | ~ event(u,w)
    | ~ vincent_forename(u,x)
    | ~ man(u,y)
    | ~ state(u,z)
    | ~ man(u,x1)
    | ~ jules_forename(u,x2)
    | ~ accessible_world(u,x3)
    | ~ proposition(u,x3)
    | ~ jules_forename(u,x4)
    | ~ smoke(x3,x5)
    | ~ present(x3,x5)
    | ~ man(u,x6)
    | ~ vincent_forename(u,x7)
    | ~ man(u,x8)
    | ~ event(u,x9)
    | ~ present(u,x9)
    | ~ think_believe_consider(u,x9)
    | ~ smoke(v,x10)
    | ~ present(v,x10)
    | ~ theme(u,w,v)
    | ~ agent(u,w,y)
    | ~ of(u,x,y)
    | ~ of(u,x2,x1)
    | ~ agent(x3,x5,x6)
    | ~ of(u,x4,x6)
    | ~ agent(u,x9,x8)
    | ~ of(u,x7,x8)
    | ~ theme(u,x9,x3)
    | ~ agent(v,x10,skf4(v))
    | ~ be(u,z,x1,x1) ),
    inference(mrr,[status(thm)],[95,48,20,19]),
    [iquote('0:MRR:95.4,95.12,95.16,95.20,95.26,95.33,48.1,20.1,48.1,19.1,19.1,20.1')] ).

cnf(122,plain,
    ( ~ man(skc8,u)
    | man(skc12,u) ),
    inference(res,[status(thm),theory(equality)],[12,71]),
    [iquote('0:Res:12.0,71.1')] ).

cnf(142,plain,
    ( ~ actual_world(skc8)
    | ~ agent(u,v,skf4(u))
    | ~ present(u,v)
    | ~ smoke(u,v)
    | ~ think_believe_consider(skc8,w)
    | ~ present(skc8,w)
    | ~ event(skc8,w)
    | ~ theme(skc8,w,skc12)
    | ~ of(skc8,x,y)
    | ~ man(skc8,y)
    | ~ agent(skc8,w,y)
    | ~ vincent_forename(skc8,x)
    | ~ of(skc8,z,x1)
    | ~ man(skc8,x1)
    | ~ agent(skc12,x2,x1)
    | ~ present(skc12,x2)
    | ~ smoke(skc12,x2)
    | ~ jules_forename(skc8,z)
    | ~ proposition(skc8,skc12)
    | ~ of(skc8,x3,x4)
    | ~ jules_forename(skc8,x3)
    | ~ be(skc8,x5,x4,x4)
    | ~ man(skc8,x4)
    | ~ state(skc8,x5)
    | ~ of(skc8,x6,x7)
    | ~ man(skc8,x7)
    | ~ agent(skc8,x8,x7)
    | ~ vincent_forename(skc8,x6)
    | ~ theme(skc8,x8,u)
    | ~ event(skc8,x8)
    | ~ present(skc8,x8)
    | ~ think_believe_consider(skc8,x8)
    | ~ accessible_world(skc8,u)
    | ~ proposition(skc8,u) ),
    inference(res,[status(thm),theory(equality)],[12,97]),
    [iquote('0:Res:12.0,97.19')] ).

cnf(151,plain,
    ( ~ accessible_world(skc8,u)
    | man(u,skc10) ),
    inference(res,[status(thm),theory(equality)],[10,71]),
    [iquote('0:Res:10.0,71.0')] ).

cnf(214,plain,
    ( ~ smoke(u,v)
    | ~ present(u,v)
    | ~ proposition(skc8,u)
    | ~ accessible_world(skc8,u)
    | ~ think_believe_consider(skc8,w)
    | ~ present(skc8,w)
    | ~ event(skc8,w)
    | ~ vincent_forename(skc8,x)
    | ~ man(skc8,y)
    | ~ state(skc8,z)
    | ~ man(skc8,x1)
    | ~ jules_forename(skc8,x2)
    | ~ jules_forename(skc8,x3)
    | ~ smoke(skc12,x4)
    | ~ present(skc12,x4)
    | ~ man(skc8,x5)
    | ~ vincent_forename(skc8,x6)
    | ~ man(skc8,x7)
    | ~ event(skc8,x8)
    | ~ present(skc8,x8)
    | ~ think_believe_consider(skc8,x8)
    | ~ agent(u,v,skf4(u))
    | ~ theme(skc8,w,u)
    | ~ agent(skc8,w,y)
    | ~ of(skc8,x,y)
    | ~ of(skc8,x2,x1)
    | ~ agent(skc12,x4,x5)
    | ~ of(skc8,x3,x5)
    | ~ agent(skc8,x8,x7)
    | ~ of(skc8,x6,x7)
    | ~ theme(skc8,x8,skc12)
    | ~ be(skc8,z,x1,x1) ),
    inference(mrr,[status(thm)],[142,1,13]),
    [iquote('0:MRR:142.0,142.18,1.0,13.0')] ).

cnf(217,plain,
    ( ~ accessible_world(skc8,skc12)
    | smoke(skc12,skf2(u)) ),
    inference(res,[status(thm),theory(equality)],[151,51]),
    [iquote('0:Res:151.1,51.0')] ).

cnf(218,plain,
    smoke(skc12,skf2(u)),
    inference(mrr,[status(thm)],[217,12]),
    [iquote('0:MRR:217.0,12.0')] ).

cnf(221,plain,
    ( ~ accessible_world(skc8,skc12)
    | present(skc12,skf2(u)) ),
    inference(res,[status(thm),theory(equality)],[151,50]),
    [iquote('0:Res:151.1,50.0')] ).

cnf(222,plain,
    present(skc12,skf2(u)),
    inference(mrr,[status(thm)],[221,12]),
    [iquote('0:MRR:221.0,12.0')] ).

cnf(567,plain,
    ( ~ actual_world(skc8)
    | ~ proposition(skc8,u)
    | ~ accessible_world(skc8,u)
    | ~ think_believe_consider(skc8,v)
    | ~ present(skc8,v)
    | ~ event(skc8,v)
    | ~ vincent_forename(skc8,w)
    | ~ man(skc8,x)
    | ~ state(skc8,skc9)
    | ~ man(skc8,skc10)
    | ~ jules_forename(skc8,y)
    | ~ accessible_world(skc8,z)
    | ~ proposition(skc8,z)
    | ~ jules_forename(skc8,x1)
    | ~ smoke(z,x2)
    | ~ present(z,x2)
    | ~ man(skc8,x3)
    | ~ vincent_forename(skc8,x4)
    | ~ man(skc8,x5)
    | ~ event(skc8,x6)
    | ~ present(skc8,x6)
    | ~ think_believe_consider(skc8,x6)
    | ~ theme(skc8,v,u)
    | ~ agent(skc8,v,x)
    | ~ of(skc8,w,x)
    | ~ of(skc8,y,skc10)
    | ~ agent(z,x2,x3)
    | ~ of(skc8,x1,x3)
    | ~ agent(skc8,x6,x5)
    | ~ of(skc8,x4,x5)
    | ~ theme(skc8,x6,z)
    | man(u,skf4(u)) ),
    inference(res,[status(thm),theory(equality)],[18,96]),
    [iquote('0:Res:18.0,96.31')] ).

cnf(568,plain,
    ( ~ proposition(skc8,u)
    | ~ accessible_world(skc8,u)
    | ~ think_believe_consider(skc8,v)
    | ~ present(skc8,v)
    | ~ event(skc8,v)
    | ~ vincent_forename(skc8,w)
    | ~ man(skc8,x)
    | ~ state(skc8,skc9)
    | ~ man(skc8,skc10)
    | ~ jules_forename(skc8,y)
    | ~ accessible_world(skc8,z)
    | ~ proposition(skc8,z)
    | ~ jules_forename(skc8,x1)
    | ~ smoke(z,x2)
    | ~ present(z,x2)
    | ~ man(skc8,x3)
    | ~ vincent_forename(skc8,x4)
    | ~ man(skc8,x5)
    | ~ event(skc8,x6)
    | ~ present(skc8,x6)
    | ~ think_believe_consider(skc8,x6)
    | ~ theme(skc8,v,u)
    | ~ agent(skc8,v,x)
    | ~ of(skc8,w,x)
    | ~ of(skc8,y,skc10)
    | ~ agent(z,x2,x3)
    | ~ of(skc8,x1,x3)
    | ~ agent(skc8,x6,x5)
    | ~ of(skc8,x4,x5)
    | ~ theme(skc8,x6,z)
    | man(u,skf4(u)) ),
    inference(ssi,[status(thm)],[567,1]),
    [iquote('0:SSi:567.0,1.0')] ).

cnf(569,plain,
    ( ~ proposition(skc8,u)
    | ~ accessible_world(skc8,u)
    | ~ think_believe_consider(skc8,v)
    | ~ present(skc8,v)
    | ~ event(skc8,v)
    | ~ vincent_forename(skc8,w)
    | ~ man(skc8,x)
    | ~ jules_forename(skc8,y)
    | ~ accessible_world(skc8,z)
    | ~ proposition(skc8,z)
    | ~ jules_forename(skc8,x1)
    | ~ smoke(z,x2)
    | ~ present(z,x2)
    | ~ man(skc8,x3)
    | ~ vincent_forename(skc8,x4)
    | ~ man(skc8,x5)
    | ~ event(skc8,x6)
    | ~ present(skc8,x6)
    | ~ think_believe_consider(skc8,x6)
    | ~ theme(skc8,v,u)
    | ~ agent(skc8,v,x)
    | ~ of(skc8,w,x)
    | ~ of(skc8,y,skc10)
    | ~ agent(z,x2,x3)
    | ~ of(skc8,x1,x3)
    | ~ agent(skc8,x6,x5)
    | ~ of(skc8,x4,x5)
    | ~ theme(skc8,x6,z)
    | man(u,skf4(u)) ),
    inference(mrr,[status(thm)],[568,11,10]),
    [iquote('0:MRR:568.7,568.8,11.0,10.0')] ).

cnf(700,plain,
    ( ~ proposition(skc8,skc12)
    | ~ accessible_world(skc8,skc12)
    | ~ think_believe_consider(skc8,skc13)
    | ~ present(skc8,skc13)
    | ~ event(skc8,skc13)
    | ~ vincent_forename(skc8,u)
    | ~ man(skc8,v)
    | ~ jules_forename(skc8,w)
    | ~ accessible_world(skc8,x)
    | ~ proposition(skc8,x)
    | ~ jules_forename(skc8,y)
    | ~ smoke(x,z)
    | ~ present(x,z)
    | ~ man(skc8,x1)
    | ~ vincent_forename(skc8,x2)
    | ~ man(skc8,x3)
    | ~ event(skc8,x4)
    | ~ present(skc8,x4)
    | ~ think_believe_consider(skc8,x4)
    | ~ agent(skc8,skc13,v)
    | ~ of(skc8,u,v)
    | ~ of(skc8,w,skc10)
    | ~ agent(x,z,x1)
    | ~ of(skc8,y,x1)
    | ~ agent(skc8,x4,x3)
    | ~ of(skc8,x2,x3)
    | ~ theme(skc8,x4,x)
    | man(skc12,skf4(skc12)) ),
    inference(res,[status(thm),theory(equality)],[16,569]),
    [iquote('0:Res:16.0,569.19')] ).

cnf(702,plain,
    ( ~ vincent_forename(skc8,u)
    | ~ man(skc8,v)
    | ~ jules_forename(skc8,w)
    | ~ accessible_world(skc8,x)
    | ~ proposition(skc8,x)
    | ~ jules_forename(skc8,y)
    | ~ smoke(x,z)
    | ~ present(x,z)
    | ~ man(skc8,x1)
    | ~ vincent_forename(skc8,x2)
    | ~ man(skc8,x3)
    | ~ event(skc8,x4)
    | ~ present(skc8,x4)
    | ~ think_believe_consider(skc8,x4)
    | ~ agent(skc8,skc13,v)
    | ~ of(skc8,u,v)
    | ~ of(skc8,w,skc10)
    | ~ agent(x,z,x1)
    | ~ of(skc8,y,x1)
    | ~ agent(skc8,x4,x3)
    | ~ of(skc8,x2,x3)
    | ~ theme(skc8,x4,x)
    | man(skc12,skf4(skc12)) ),
    inference(mrr,[status(thm)],[700,13,12,7,6,5]),
    [iquote('0:MRR:700.0,700.1,700.2,700.3,700.4,13.0,12.0,7.0,6.0,5.0')] ).

cnf(921,plain,
    ( ~ man(skc12,skf4(skc12))
    | ~ smoke(skc12,skf2(skf4(skc12)))
    | ~ present(skc12,skf2(skf4(skc12)))
    | ~ proposition(skc8,skc12)
    | ~ accessible_world(skc8,skc12)
    | ~ think_believe_consider(skc8,u)
    | ~ present(skc8,u)
    | ~ event(skc8,u)
    | ~ vincent_forename(skc8,v)
    | ~ man(skc8,w)
    | ~ state(skc8,x)
    | ~ man(skc8,y)
    | ~ jules_forename(skc8,z)
    | ~ jules_forename(skc8,x1)
    | ~ smoke(skc12,x2)
    | ~ present(skc12,x2)
    | ~ man(skc8,x3)
    | ~ vincent_forename(skc8,x4)
    | ~ man(skc8,x5)
    | ~ event(skc8,x6)
    | ~ present(skc8,x6)
    | ~ think_believe_consider(skc8,x6)
    | ~ theme(skc8,u,skc12)
    | ~ agent(skc8,u,w)
    | ~ of(skc8,v,w)
    | ~ of(skc8,z,y)
    | ~ agent(skc12,x2,x3)
    | ~ of(skc8,x1,x3)
    | ~ agent(skc8,x6,x5)
    | ~ of(skc8,x4,x5)
    | ~ theme(skc8,x6,skc12)
    | ~ be(skc8,x,y,y) ),
    inference(res,[status(thm),theory(equality)],[56,214]),
    [iquote('0:Res:56.1,214.21')] ).

cnf(926,plain,
    ( ~ man(skc12,skf4(skc12))
    | ~ smoke(skc12,skf2(skf4(skc12)))
    | ~ present(skc12,skf2(skf4(skc12)))
    | ~ proposition(skc8,skc12)
    | ~ accessible_world(skc8,skc12)
    | ~ think_believe_consider(skc8,u)
    | ~ present(skc8,u)
    | ~ event(skc8,u)
    | ~ vincent_forename(skc8,v)
    | ~ man(skc8,w)
    | ~ state(skc8,x)
    | ~ man(skc8,y)
    | ~ jules_forename(skc8,z)
    | ~ jules_forename(skc8,x1)
    | ~ smoke(skc12,x2)
    | ~ present(skc12,x2)
    | ~ man(skc8,x3)
    | ~ theme(skc8,u,skc12)
    | ~ agent(skc8,u,w)
    | ~ of(skc8,v,w)
    | ~ of(skc8,z,y)
    | ~ agent(skc12,x2,x3)
    | ~ of(skc8,x1,x3)
    | ~ be(skc8,x,y,y) ),
    inference(con,[status(thm)],[921]),
    [iquote('0:Con:921.17')] ).

cnf(927,plain,
    ( ~ man(skc12,skf4(skc12))
    | ~ think_believe_consider(skc8,u)
    | ~ present(skc8,u)
    | ~ event(skc8,u)
    | ~ vincent_forename(skc8,v)
    | ~ man(skc8,w)
    | ~ state(skc8,x)
    | ~ man(skc8,y)
    | ~ jules_forename(skc8,z)
    | ~ jules_forename(skc8,x1)
    | ~ smoke(skc12,x2)
    | ~ present(skc12,x2)
    | ~ man(skc8,x3)
    | ~ theme(skc8,u,skc12)
    | ~ agent(skc8,u,w)
    | ~ of(skc8,v,w)
    | ~ of(skc8,z,y)
    | ~ agent(skc12,x2,x3)
    | ~ of(skc8,x1,x3)
    | ~ be(skc8,x,y,y) ),
    inference(mrr,[status(thm)],[926,218,222,13,12]),
    [iquote('0:MRR:926.1,926.2,926.3,926.4,218.0,222.0,13.0,12.0')] ).

cnf(970,plain,
    ( ~ man(skc12,skf4(skc12))
    | ~ think_believe_consider(skc8,u)
    | ~ present(skc8,u)
    | ~ event(skc8,u)
    | ~ vincent_forename(skc8,v)
    | ~ man(skc8,w)
    | ~ state(skc8,skc9)
    | ~ man(skc8,skc10)
    | ~ jules_forename(skc8,x)
    | ~ jules_forename(skc8,y)
    | ~ smoke(skc12,z)
    | ~ present(skc12,z)
    | ~ man(skc8,x1)
    | ~ theme(skc8,u,skc12)
    | ~ agent(skc8,u,w)
    | ~ of(skc8,v,w)
    | ~ of(skc8,x,skc10)
    | ~ agent(skc12,z,x1)
    | ~ of(skc8,y,x1) ),
    inference(res,[status(thm),theory(equality)],[18,927]),
    [iquote('0:Res:18.0,927.19')] ).

cnf(973,plain,
    ( ~ man(skc12,skf4(skc12))
    | ~ think_believe_consider(skc8,u)
    | ~ present(skc8,u)
    | ~ event(skc8,u)
    | ~ vincent_forename(skc8,v)
    | ~ man(skc8,w)
    | ~ jules_forename(skc8,x)
    | ~ jules_forename(skc8,y)
    | ~ smoke(skc12,z)
    | ~ present(skc12,z)
    | ~ man(skc8,x1)
    | ~ theme(skc8,u,skc12)
    | ~ agent(skc8,u,w)
    | ~ of(skc8,v,w)
    | ~ of(skc8,x,skc10)
    | ~ agent(skc12,z,x1)
    | ~ of(skc8,y,x1) ),
    inference(mrr,[status(thm)],[970,11,10]),
    [iquote('0:MRR:970.6,970.7,11.0,10.0')] ).

cnf(981,plain,
    ( ~ vincent_forename(skc8,u)
    | ~ man(skc8,skc15)
    | ~ jules_forename(skc8,v)
    | ~ accessible_world(skc8,w)
    | ~ proposition(skc8,w)
    | ~ jules_forename(skc8,x)
    | ~ smoke(w,y)
    | ~ present(w,y)
    | ~ man(skc8,z)
    | ~ vincent_forename(skc8,x1)
    | ~ man(skc8,x2)
    | ~ event(skc8,x3)
    | ~ present(skc8,x3)
    | ~ think_believe_consider(skc8,x3)
    | ~ of(skc8,u,skc15)
    | ~ of(skc8,v,skc10)
    | ~ agent(w,y,z)
    | ~ of(skc8,x,z)
    | ~ agent(skc8,x3,x2)
    | ~ of(skc8,x1,x2)
    | ~ theme(skc8,x3,w)
    | man(skc12,skf4(skc12)) ),
    inference(res,[status(thm),theory(equality)],[15,702]),
    [iquote('0:Res:15.0,702.14')] ).

cnf(984,plain,
    ( ~ vincent_forename(skc8,u)
    | ~ jules_forename(skc8,v)
    | ~ accessible_world(skc8,w)
    | ~ proposition(skc8,w)
    | ~ jules_forename(skc8,x)
    | ~ smoke(w,y)
    | ~ present(w,y)
    | ~ man(skc8,z)
    | ~ vincent_forename(skc8,x1)
    | ~ man(skc8,x2)
    | ~ event(skc8,x3)
    | ~ present(skc8,x3)
    | ~ think_believe_consider(skc8,x3)
    | ~ of(skc8,u,skc15)
    | ~ of(skc8,v,skc10)
    | ~ agent(w,y,z)
    | ~ of(skc8,x,z)
    | ~ agent(skc8,x3,x2)
    | ~ of(skc8,x1,x2)
    | ~ theme(skc8,x3,w)
    | man(skc12,skf4(skc12)) ),
    inference(mrr,[status(thm)],[981,2]),
    [iquote('0:MRR:981.1,2.0')] ).

cnf(985,plain,
    ( ~ vincent_forename(skc8,skc14)
    | ~ jules_forename(skc8,u)
    | ~ accessible_world(skc8,v)
    | ~ proposition(skc8,v)
    | ~ jules_forename(skc8,w)
    | ~ smoke(v,x)
    | ~ present(v,x)
    | ~ man(skc8,y)
    | ~ vincent_forename(skc8,z)
    | ~ man(skc8,x1)
    | ~ event(skc8,x2)
    | ~ present(skc8,x2)
    | ~ think_believe_consider(skc8,x2)
    | ~ of(skc8,u,skc10)
    | ~ agent(v,x,y)
    | ~ of(skc8,w,y)
    | ~ agent(skc8,x2,x1)
    | ~ of(skc8,z,x1)
    | ~ theme(skc8,x2,v)
    | man(skc12,skf4(skc12)) ),
    inference(res,[status(thm),theory(equality)],[14,984]),
    [iquote('0:Res:14.0,984.13')] ).

cnf(988,plain,
    ( ~ jules_forename(skc8,u)
    | ~ accessible_world(skc8,v)
    | ~ proposition(skc8,v)
    | ~ jules_forename(skc8,w)
    | ~ smoke(v,x)
    | ~ present(v,x)
    | ~ man(skc8,y)
    | ~ vincent_forename(skc8,z)
    | ~ man(skc8,x1)
    | ~ event(skc8,x2)
    | ~ present(skc8,x2)
    | ~ think_believe_consider(skc8,x2)
    | ~ of(skc8,u,skc10)
    | ~ agent(v,x,y)
    | ~ of(skc8,w,y)
    | ~ agent(skc8,x2,x1)
    | ~ of(skc8,z,x1)
    | ~ theme(skc8,x2,v)
    | man(skc12,skf4(skc12)) ),
    inference(mrr,[status(thm)],[985,4]),
    [iquote('0:MRR:985.0,4.0')] ).

cnf(989,plain,
    ( ~ jules_forename(skc8,skc11)
    | ~ accessible_world(skc8,u)
    | ~ proposition(skc8,u)
    | ~ jules_forename(skc8,v)
    | ~ smoke(u,w)
    | ~ present(u,w)
    | ~ man(skc8,x)
    | ~ vincent_forename(skc8,y)
    | ~ man(skc8,z)
    | ~ event(skc8,x1)
    | ~ present(skc8,x1)
    | ~ think_believe_consider(skc8,x1)
    | ~ agent(u,w,x)
    | ~ of(skc8,v,x)
    | ~ agent(skc8,x1,z)
    | ~ of(skc8,y,z)
    | ~ theme(skc8,x1,u)
    | man(skc12,skf4(skc12)) ),
    inference(res,[status(thm),theory(equality)],[17,988]),
    [iquote('0:Res:17.0,988.12')] ).

cnf(992,plain,
    ( ~ accessible_world(skc8,u)
    | ~ proposition(skc8,u)
    | ~ jules_forename(skc8,v)
    | ~ smoke(u,w)
    | ~ present(u,w)
    | ~ man(skc8,x)
    | ~ vincent_forename(skc8,y)
    | ~ man(skc8,z)
    | ~ event(skc8,x1)
    | ~ present(skc8,x1)
    | ~ think_believe_consider(skc8,x1)
    | ~ agent(u,w,x)
    | ~ of(skc8,v,x)
    | ~ agent(skc8,x1,z)
    | ~ of(skc8,y,z)
    | ~ theme(skc8,x1,u)
    | man(skc12,skf4(skc12)) ),
    inference(mrr,[status(thm)],[989,8]),
    [iquote('0:MRR:989.0,8.0')] ).

cnf(1001,plain,
    ( ~ man(skc12,u)
    | ~ accessible_world(skc8,skc12)
    | ~ proposition(skc8,skc12)
    | ~ jules_forename(skc8,v)
    | ~ smoke(skc12,skf2(u))
    | ~ present(skc12,skf2(u))
    | ~ man(skc8,u)
    | ~ vincent_forename(skc8,w)
    | ~ man(skc8,x)
    | ~ event(skc8,y)
    | ~ present(skc8,y)
    | ~ think_believe_consider(skc8,y)
    | ~ of(skc8,v,u)
    | ~ agent(skc8,y,x)
    | ~ of(skc8,w,x)
    | ~ theme(skc8,y,skc12)
    | man(skc12,skf4(skc12)) ),
    inference(res,[status(thm),theory(equality)],[56,992]),
    [iquote('0:Res:56.1,992.11')] ).

cnf(1008,plain,
    ( ~ jules_forename(skc8,u)
    | ~ man(skc8,v)
    | ~ vincent_forename(skc8,w)
    | ~ man(skc8,x)
    | ~ event(skc8,y)
    | ~ present(skc8,y)
    | ~ think_believe_consider(skc8,y)
    | ~ of(skc8,u,v)
    | ~ agent(skc8,y,x)
    | ~ of(skc8,w,x)
    | ~ theme(skc8,y,skc12)
    | man(skc12,skf4(skc12)) ),
    inference(mrr,[status(thm)],[1001,71,12,13,218,222]),
    [iquote('0:MRR:1001.0,1001.1,1001.2,1001.4,1001.5,71.2,12.0,13.0,218.0,222.0')] ).

cnf(1010,plain,
    ( ~ think_believe_consider(skc8,u)
    | ~ present(skc8,u)
    | ~ event(skc8,u)
    | ~ vincent_forename(skc8,v)
    | ~ man(skc8,w)
    | ~ jules_forename(skc8,x)
    | ~ jules_forename(skc8,y)
    | ~ smoke(skc12,z)
    | ~ present(skc12,z)
    | ~ man(skc8,x1)
    | ~ theme(skc8,u,skc12)
    | ~ agent(skc8,u,w)
    | ~ of(skc8,v,w)
    | ~ of(skc8,x,skc10)
    | ~ agent(skc12,z,x1)
    | ~ of(skc8,y,x1) ),
    inference(mrr,[status(thm)],[973,1008]),
    [iquote('0:MRR:973.0,1008.11')] ).

cnf(1087,plain,
    ( ~ think_believe_consider(skc8,skc13)
    | ~ present(skc8,skc13)
    | ~ event(skc8,skc13)
    | ~ vincent_forename(skc8,u)
    | ~ man(skc8,v)
    | ~ jules_forename(skc8,w)
    | ~ jules_forename(skc8,x)
    | ~ smoke(skc12,y)
    | ~ present(skc12,y)
    | ~ man(skc8,z)
    | ~ agent(skc8,skc13,v)
    | ~ of(skc8,u,v)
    | ~ of(skc8,w,skc10)
    | ~ agent(skc12,y,z)
    | ~ of(skc8,x,z) ),
    inference(res,[status(thm),theory(equality)],[16,1010]),
    [iquote('0:Res:16.0,1010.10')] ).

cnf(1090,plain,
    ( ~ vincent_forename(skc8,u)
    | ~ man(skc8,v)
    | ~ jules_forename(skc8,w)
    | ~ jules_forename(skc8,x)
    | ~ smoke(skc12,y)
    | ~ present(skc12,y)
    | ~ man(skc8,z)
    | ~ agent(skc8,skc13,v)
    | ~ of(skc8,u,v)
    | ~ of(skc8,w,skc10)
    | ~ agent(skc12,y,z)
    | ~ of(skc8,x,z) ),
    inference(mrr,[status(thm)],[1087,7,6,5]),
    [iquote('0:MRR:1087.0,1087.1,1087.2,7.0,6.0,5.0')] ).

cnf(1091,plain,
    ( ~ vincent_forename(skc8,u)
    | ~ man(skc8,skc15)
    | ~ jules_forename(skc8,v)
    | ~ jules_forename(skc8,w)
    | ~ smoke(skc12,x)
    | ~ present(skc12,x)
    | ~ man(skc8,y)
    | ~ of(skc8,u,skc15)
    | ~ of(skc8,v,skc10)
    | ~ agent(skc12,x,y)
    | ~ of(skc8,w,y) ),
    inference(res,[status(thm),theory(equality)],[15,1090]),
    [iquote('0:Res:15.0,1090.7')] ).

cnf(1094,plain,
    ( ~ vincent_forename(skc8,u)
    | ~ jules_forename(skc8,v)
    | ~ jules_forename(skc8,w)
    | ~ smoke(skc12,x)
    | ~ present(skc12,x)
    | ~ man(skc8,y)
    | ~ of(skc8,u,skc15)
    | ~ of(skc8,v,skc10)
    | ~ agent(skc12,x,y)
    | ~ of(skc8,w,y) ),
    inference(mrr,[status(thm)],[1091,2]),
    [iquote('0:MRR:1091.1,2.0')] ).

cnf(1098,plain,
    ( ~ vincent_forename(skc8,skc14)
    | ~ jules_forename(skc8,u)
    | ~ jules_forename(skc8,v)
    | ~ smoke(skc12,w)
    | ~ present(skc12,w)
    | ~ man(skc8,x)
    | ~ of(skc8,u,skc10)
    | ~ agent(skc12,w,x)
    | ~ of(skc8,v,x) ),
    inference(res,[status(thm),theory(equality)],[14,1094]),
    [iquote('0:Res:14.0,1094.6')] ).

cnf(1101,plain,
    ( ~ jules_forename(skc8,u)
    | ~ jules_forename(skc8,v)
    | ~ smoke(skc12,w)
    | ~ present(skc12,w)
    | ~ man(skc8,x)
    | ~ of(skc8,u,skc10)
    | ~ agent(skc12,w,x)
    | ~ of(skc8,v,x) ),
    inference(mrr,[status(thm)],[1098,4]),
    [iquote('0:MRR:1098.0,4.0')] ).

cnf(1102,plain,
    ( ~ jules_forename(skc8,skc11)
    | ~ jules_forename(skc8,u)
    | ~ smoke(skc12,v)
    | ~ present(skc12,v)
    | ~ man(skc8,w)
    | ~ agent(skc12,v,w)
    | ~ of(skc8,u,w) ),
    inference(res,[status(thm),theory(equality)],[17,1101]),
    [iquote('0:Res:17.0,1101.5')] ).

cnf(1105,plain,
    ( ~ jules_forename(skc8,u)
    | ~ smoke(skc12,v)
    | ~ present(skc12,v)
    | ~ man(skc8,w)
    | ~ agent(skc12,v,w)
    | ~ of(skc8,u,w) ),
    inference(mrr,[status(thm)],[1102,8]),
    [iquote('0:MRR:1102.0,8.0')] ).

cnf(1108,plain,
    ( ~ man(skc12,u)
    | ~ jules_forename(skc8,v)
    | ~ smoke(skc12,skf2(u))
    | ~ present(skc12,skf2(u))
    | ~ man(skc8,u)
    | ~ of(skc8,v,u) ),
    inference(res,[status(thm),theory(equality)],[56,1105]),
    [iquote('0:Res:56.1,1105.4')] ).

cnf(1112,plain,
    ( ~ jules_forename(skc8,u)
    | ~ man(skc8,v)
    | ~ of(skc8,u,v) ),
    inference(mrr,[status(thm)],[1108,122,218,222]),
    [iquote('0:MRR:1108.0,1108.2,1108.3,122.1,218.0,222.0')] ).

cnf(1113,plain,
    ( ~ jules_forename(skc8,skc11)
    | ~ man(skc8,skc10) ),
    inference(res,[status(thm),theory(equality)],[17,1112]),
    [iquote('0:Res:17.0,1112.2')] ).

cnf(1119,plain,
    $false,
    inference(mrr,[status(thm)],[1113,8,10]),
    [iquote('0:MRR:1113.0,1113.1,8.0,10.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NLP251+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n008.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 : Thu Jun 30 19:25:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.08/1.23  
% 1.08/1.23  SPASS V 3.9 
% 1.08/1.23  SPASS beiseite: Proof found.
% 1.08/1.23  % SZS status Theorem
% 1.08/1.23  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 1.08/1.23  SPASS derived 919 clauses, backtracked 0 clauses, performed 0 splits and kept 587 clauses.
% 1.08/1.23  SPASS allocated 99964 KBytes.
% 1.08/1.23  SPASS spent	0:00:00.89 on the problem.
% 1.08/1.23  		0:00:00.04 for the input.
% 1.08/1.23  		0:00:00.17 for the FLOTTER CNF translation.
% 1.08/1.23  		0:00:00.04 for inferences.
% 1.08/1.23  		0:00:00.00 for the backtracking.
% 1.08/1.23  		0:00:00.44 for the reduction.
% 1.08/1.23  
% 1.08/1.23  
% 1.08/1.23  Here is a proof with depth 9, length 66 :
% 1.08/1.23  % SZS output start Refutation
% See solution above
% 1.08/1.24  Formulae used in the proof : co1 ax1 ax2 ax30 ax49
% 1.08/1.24  
%------------------------------------------------------------------------------