TSTP Solution File: KRS006-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : KRS006-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n032.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 : Sun Jul 17 03:30:15 EDT 2022

% Result   : Satisfiable 0.14s 0.35s
% Output   : Saturation 0.14s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 106)

% Comments : 
%------------------------------------------------------------------------------
cnf(47,plain,
    ( ~ r1most(u)
    | ~ r(u,u4r1(exist))
    | ~ r(u,u4r2(exist))
    | e(u) ),
    inference(res,[status(thm),theory(equality)],[26,36]),
    [iquote('0:Res:26.0,36.1')] ).

cnf(132,plain,
    ( ~ e(u)
    | ~ d(u4r1(u)) ),
    inference(sor,[status(thm)],[129,7]),
    [iquote('0:SoR:129.0,7.1')] ).

cnf(131,plain,
    ( ~ e(u)
    | ~ c(u4r2(u)) ),
    inference(sor,[status(thm)],[127,1]),
    [iquote('0:SoR:127.1,1.1')] ).

cnf(133,plain,
    ( ~ e(u)
    | s2least(u4r1(u)) ),
    inference(sor,[status(thm)],[129,95]),
    [iquote('0:SoR:129.0,95.1')] ).

cnf(36,plain,
    ( ~ d(u)
    | ~ r1most(v)
    | ~ r(v,u)
    | ~ r(v,u4r1(exist))
    | e(v) ),
    inference(res,[status(thm),theory(equality)],[27,18]),
    [iquote('0:Res:27.0,18.1')] ).

cnf(129,plain,
    ( ~ s1most(u4r1(u))
    | ~ e(u) ),
    inference(ems,[status(thm)],[114,8,15]),
    [iquote('0:EmS:114.0,114.1,8.1,15.1')] ).

cnf(127,plain,
    ( ~ e(u)
    | ~ s2least(u4r2(u)) ),
    inference(ems,[status(thm)],[114,13,2]),
    [iquote('0:EmS:114.0,114.1,13.1,2.1')] ).

cnf(114,plain,
    ( ~ d(u)
    | ~ c(u) ),
    inference(ems,[status(thm)],[107,7,1]),
    [iquote('0:EmS:107.0,107.1,7.1,1.1')] ).

cnf(120,plain,
    ~ s1most(u4r1(exist)),
    inference(sor,[status(thm)],[117,8]),
    [iquote('0:SoR:117.0,8.1')] ).

cnf(38,plain,
    ( ~ c(u)
    | ~ r1most(v)
    | ~ r(v,u)
    | ~ r(v,u4r2(exist))
    | e(v) ),
    inference(res,[status(thm),theory(equality)],[26,18]),
    [iquote('0:Res:26.0,18.2')] ).

cnf(119,plain,
    ~ s2least(u4r2(exist)),
    inference(sor,[status(thm)],[116,2]),
    [iquote('0:SoR:116.0,2.1')] ).

cnf(117,plain,
    ~ d(u4r1(exist)),
    inference(ems,[status(thm)],[107,7,35]),
    [iquote('0:EmS:107.0,107.1,7.1,35.0')] ).

cnf(116,plain,
    ~ c(u4r2(exist)),
    inference(ems,[status(thm)],[107,37,1]),
    [iquote('0:EmS:107.0,107.1,37.0,1.1')] ).

cnf(107,plain,
    ( ~ s1most(u)
    | ~ s2least(u) ),
    inference(mrr,[status(thm)],[106,5]),
    [iquote('0:MRR:106.2,5.1')] ).

cnf(18,axiom,
    ( ~ d(u)
    | ~ c(v)
    | ~ r1most(w)
    | ~ r(w,v)
    | ~ r(w,u)
    | e(w) ),
    file('KRS006-1.p',unknown),
    [] ).

cnf(104,plain,
    ( ~ e(u)
    | ~ r(u,v)
    | equalish(v,u4r2(u)) ),
    inference(ssi,[status(thm)],[101,17]),
    [iquote('0:SSi:101.1,17.1')] ).

cnf(103,plain,
    ( ~ e(u)
    | ~ r(u,v)
    | equalish(v,u4r1(u)) ),
    inference(ssi,[status(thm)],[100,17]),
    [iquote('0:SSi:100.1,17.1')] ).

cnf(102,plain,
    ( ~ r(exist,u)
    | equalish(u,u4r2(exist)) ),
    inference(ssi,[status(thm)],[97,24,23]),
    [iquote('0:SSi:97.0,24.0,23.0')] ).

cnf(19,axiom,
    ( ~ r1most(u)
    | ~ r(u,v)
    | ~ r(u,w)
    | equalish(w,v) ),
    file('KRS006-1.p',unknown),
    [] ).

cnf(86,plain,
    ( ~ s2least(u)
    | ~ r(exist,u1r1(u))
    | ~ r(exist,u1r2(u)) ),
    inference(res,[status(thm),theory(equality)],[29,3]),
    [iquote('0:Res:29.2,3.1')] ).

cnf(95,plain,
    ( s2least(u)
    | s1most(u) ),
    inference(mrr,[status(thm)],[94,12]),
    [iquote('0:MRR:94.0,12.1')] ).

cnf(9,axiom,
    ( ~ s1most(u)
    | ~ s(u,v)
    | ~ s(u,w)
    | equalish(w,v) ),
    file('KRS006-1.p',unknown),
    [] ).

cnf(85,plain,
    ( ~ r(exist,u5r1(u))
    | ~ r(exist,u5r2(u))
    | r1most(u) ),
    inference(res,[status(thm),theory(equality)],[29,20]),
    [iquote('0:Res:29.2,20.0')] ).

cnf(84,plain,
    ( ~ r(exist,u3r1(u))
    | ~ r(exist,u3r2(u))
    | s1most(u) ),
    inference(res,[status(thm),theory(equality)],[29,10]),
    [iquote('0:Res:29.2,10.0')] ).

cnf(29,plain,
    ( ~ r(exist,u)
    | ~ r(exist,v)
    | equalish(v,u) ),
    inference(res,[status(thm),theory(equality)],[24,19]),
    [iquote('0:Res:24.0,19.0')] ).

cnf(6,axiom,
    ( ~ s(u,v)
    | ~ s(u,w)
    | s2least(u)
    | equalish(w,v) ),
    file('KRS006-1.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ s2least(u)
    | ~ equalish(u1r2(u),u1r1(u)) ),
    file('KRS006-1.p',unknown),
    [] ).

cnf(20,axiom,
    ( ~ equalish(u5r2(u),u5r1(u))
    | r1most(u) ),
    file('KRS006-1.p',unknown),
    [] ).

cnf(44,plain,
    ( ~ r(exist,u)
    | equalish(u,u4r1(exist)) ),
    inference(mrr,[status(thm)],[42,24]),
    [iquote('0:MRR:42.0,24.0')] ).

cnf(43,plain,
    ( ~ r(exist,u)
    | equalish(u4r1(exist),u) ),
    inference(mrr,[status(thm)],[40,24]),
    [iquote('0:MRR:40.0,24.0')] ).

cnf(10,axiom,
    ( ~ equalish(u3r2(u),u3r1(u))
    | s1most(u) ),
    file('KRS006-1.p',unknown),
    [] ).

cnf(14,axiom,
    ( ~ e(u)
    | r(u,u4r2(u)) ),
    file('KRS006-1.p',unknown),
    [] ).

cnf(16,axiom,
    ( ~ e(u)
    | r(u,u4r1(u)) ),
    file('KRS006-1.p',unknown),
    [] ).

cnf(4,axiom,
    ( ~ s2least(u)
    | s(u,u1r1(u)) ),
    file('KRS006-1.p',unknown),
    [] ).

cnf(5,axiom,
    ( ~ s2least(u)
    | s(u,u1r2(u)) ),
    file('KRS006-1.p',unknown),
    [] ).

cnf(21,axiom,
    ( r1most(u)
    | r(u,u5r1(u)) ),
    file('KRS006-1.p',unknown),
    [] ).

cnf(22,axiom,
    ( r1most(u)
    | r(u,u5r2(u)) ),
    file('KRS006-1.p',unknown),
    [] ).

cnf(11,axiom,
    ( s1most(u)
    | s(u,u3r1(u)) ),
    file('KRS006-1.p',unknown),
    [] ).

cnf(12,axiom,
    ( s1most(u)
    | s(u,u3r2(u)) ),
    file('KRS006-1.p',unknown),
    [] ).

cnf(13,axiom,
    ( ~ e(u)
    | d(u4r2(u)) ),
    file('KRS006-1.p',unknown),
    [] ).

cnf(15,axiom,
    ( ~ e(u)
    | c(u4r1(u)) ),
    file('KRS006-1.p',unknown),
    [] ).

cnf(17,axiom,
    ( ~ e(u)
    | r1most(u) ),
    file('KRS006-1.p',unknown),
    [] ).

cnf(1,axiom,
    ( ~ c(u)
    | s2least(u) ),
    file('KRS006-1.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ d(u)
    | s1most(u) ),
    file('KRS006-1.p',unknown),
    [] ).

cnf(2,axiom,
    ( ~ s2least(u)
    | c(u) ),
    file('KRS006-1.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ s1most(u)
    | d(u) ),
    file('KRS006-1.p',unknown),
    [] ).

cnf(49,plain,
    equalish(u4r1(exist),u4r1(exist)),
    inference(res,[status(thm),theory(equality)],[25,44]),
    [iquote('0:Res:25.0,44.0')] ).

cnf(30,plain,
    r(exist,u4r2(exist)),
    inference(res,[status(thm),theory(equality)],[23,14]),
    [iquote('0:Res:23.0,14.0')] ).

cnf(35,plain,
    s2least(u4r1(exist)),
    inference(res,[status(thm),theory(equality)],[27,1]),
    [iquote('0:Res:27.0,1.0')] ).

cnf(37,plain,
    s1most(u4r2(exist)),
    inference(res,[status(thm),theory(equality)],[26,7]),
    [iquote('0:Res:26.0,7.0')] ).

cnf(25,axiom,
    r(exist,u4r1(exist)),
    file('KRS006-1.p',unknown),
    [] ).

cnf(26,axiom,
    d(u4r2(exist)),
    file('KRS006-1.p',unknown),
    [] ).

cnf(27,axiom,
    c(u4r1(exist)),
    file('KRS006-1.p',unknown),
    [] ).

cnf(23,axiom,
    e(exist),
    file('KRS006-1.p',unknown),
    [] ).

cnf(24,axiom,
    r1most(exist),
    file('KRS006-1.p',unknown),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : KRS006-1 : TPTP v8.1.0. Released v2.0.0.
% 0.09/0.10  % Command  : run_spass %d %s
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 600
% 0.09/0.29  % DateTime : Tue Jun  7 09:44:20 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 0.14/0.35  
% 0.14/0.35  SPASS V 3.9 
% 0.14/0.35  SPASS beiseite: Completion found.
% 0.14/0.35  % SZS status CounterSatisfiable
% 0.14/0.35  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.14/0.35  SPASS derived 80 clauses, backtracked 0 clauses, performed 0 splits and kept 59 clauses.
% 0.14/0.35  SPASS allocated 75686 KBytes.
% 0.14/0.35  SPASS spent	0:00:00.05 on the problem.
% 0.14/0.35  		0:00:00.03 for the input.
% 0.14/0.35  		0:00:00.00 for the FLOTTER CNF translation.
% 0.14/0.35  		0:00:00.00 for inferences.
% 0.14/0.35  		0:00:00.00 for the backtracking.
% 0.14/0.35  		0:00:00.00 for the reduction.
% 0.14/0.35  
% 0.14/0.35  
% 0.14/0.35   The saturated set of worked-off clauses is :
% 0.14/0.35  % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------