TSTP Solution File: SET780-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SET780-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n011.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 : Tue Jul 19 05:28:36 EDT 2022

% Result   : Satisfiable 0.12s 0.40s
% Output   : Saturation 0.12s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 30)

% Comments : 
%------------------------------------------------------------------------------
cnf(31,plain,
    ( member(k(u,v,u),v)
    | difference(u,v,u) ),
    inference(mrr,[status(thm)],[30,18]),
    [iquote('0:MRR:30.0,18.0')] ).

cnf(12,axiom,
    ( ~ member(k(u,v,w),u)
    | ~ member(k(u,v,w),w)
    | member(k(u,v,w),v)
    | difference(u,v,w) ),
    file('SET780-1.p',unknown),
    [] ).

cnf(23,plain,
    ( member(k(u,u,v),v)
    | difference(u,u,v) ),
    inference(obv,[status(thm),theory(equality)],[20]),
    [iquote('0:Obv:20.1')] ).

cnf(11,axiom,
    ( ~ member(k(u,v,w),v)
    | member(k(u,v,w),w)
    | difference(u,v,w) ),
    file('SET780-1.p',unknown),
    [] ).

cnf(18,plain,
    ( member(k(u,v,u),u)
    | difference(u,v,u) ),
    inference(fac,[status(thm)],[10]),
    [iquote('0:Fac:10.0,10.1')] ).

cnf(10,axiom,
    ( member(k(u,v,w),w)
    | member(k(u,v,w),u)
    | difference(u,v,w) ),
    file('SET780-1.p',unknown),
    [] ).

cnf(9,axiom,
    ( ~ member(u,v)
    | ~ difference(v,w,x)
    | member(u,w)
    | member(u,x) ),
    file('SET780-1.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ member(u,v)
    | ~ member(u,w)
    | ~ difference(x,w,v) ),
    file('SET780-1.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ member(u,v)
    | ~ difference(w,x,v)
    | member(u,w) ),
    file('SET780-1.p',unknown),
    [] ).

cnf(1,axiom,
    ( ~ subset(u,v)
    | ~ member(w,u)
    | member(w,v) ),
    file('SET780-1.p',unknown),
    [] ).

cnf(14,plain,
    subset(u,u),
    inference(obv,[status(thm),theory(equality)],[13]),
    [iquote('0:Obv:13.0')] ).

cnf(6,axiom,
    ( ~ subset(u,v)
    | ~ subset(v,u)
    | equal_sets(u,v) ),
    file('SET780-1.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ member(member_of_1_not_of_2(u,v),v)
    | subset(u,v) ),
    file('SET780-1.p',unknown),
    [] ).

cnf(2,axiom,
    ( subset(u,v)
    | member(member_of_1_not_of_2(u,v),u) ),
    file('SET780-1.p',unknown),
    [] ).

cnf(4,axiom,
    ( ~ equal_sets(u,v)
    | subset(u,v) ),
    file('SET780-1.p',unknown),
    [] ).

cnf(5,axiom,
    ( ~ equal_sets(u,v)
    | subset(v,u) ),
    file('SET780-1.p',unknown),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SET780-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n011.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 : Sun Jul 10 16:03:26 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.40  
% 0.12/0.40  SPASS V 3.9 
% 0.12/0.40  SPASS beiseite: Completion found.
% 0.12/0.40  % SZS status CounterSatisfiable
% 0.12/0.40  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.12/0.40  SPASS derived 14 clauses, backtracked 0 clauses, performed 0 splits and kept 16 clauses.
% 0.12/0.40  SPASS allocated 63105 KBytes.
% 0.12/0.40  SPASS spent	0:00:00.06 on the problem.
% 0.12/0.40  		0:00:00.04 for the input.
% 0.12/0.40  		0:00:00.00 for the FLOTTER CNF translation.
% 0.12/0.40  		0:00:00.00 for inferences.
% 0.12/0.40  		0:00:00.00 for the backtracking.
% 0.12/0.40  		0:00:00.00 for the reduction.
% 0.12/0.40  
% 0.12/0.40  
% 0.12/0.40   The saturated set of worked-off clauses is :
% 0.12/0.40  % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------