TSTP Solution File: SEV436-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SEV436-1 : TPTP v8.1.0. Released v6.4.0.
% 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 : Tue Jul 19 18:14:32 EDT 2022

% Result   : Satisfiable 0.19s 0.42s
% Output   : Saturation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 85)

% Comments : 
%------------------------------------------------------------------------------
cnf(43,plain,
    ( member(g(u,u,v),v)
    | member(g(u,u,v),u)
    | union(u,u,v) ),
    inference(fac,[status(thm)],[10]),
    [iquote('0:Fac:10.1,10.2')] ).

cnf(87,plain,
    intersection(u,u,u),
    inference(obv,[status(thm),theory(equality)],[85]),
    [iquote('0:Obv:85.0')] ).

cnf(82,plain,
    ( ~ member(h(u,v,u),v)
    | intersection(u,v,u) ),
    inference(mrr,[status(thm)],[81,32]),
    [iquote('0:MRR:81.1,32.0')] ).

cnf(18,axiom,
    ( ~ member(h(u,v,w),u)
    | ~ member(h(u,v,w),v)
    | ~ member(h(u,v,w),w)
    | intersection(u,v,w) ),
    file('SEV436-1.p',unknown),
    [] ).

cnf(71,plain,
    ( member(g(u,v,u),v)
    | union(u,v,u) ),
    inference(mrr,[status(thm)],[70,42]),
    [iquote('0:MRR:70.0,42.1')] ).

cnf(60,plain,
    ( member(k(u,v,u),v)
    | difference(u,v,u) ),
    inference(mrr,[status(thm)],[59,30]),
    [iquote('0:MRR:59.0,30.0')] ).

cnf(54,plain,
    union(u,u,u),
    inference(mrr,[status(thm)],[53,50]),
    [iquote('0:MRR:53.0,50.0')] ).

cnf(24,axiom,
    ( ~ member(k(u,v,w),u)
    | ~ member(k(u,v,w),w)
    | member(k(u,v,w),v)
    | difference(u,v,w) ),
    file('SEV436-1.p',unknown),
    [] ).

cnf(50,plain,
    ( member(g(u,v,v),u)
    | union(u,v,v) ),
    inference(mrr,[status(thm)],[49,41]),
    [iquote('0:MRR:49.0,41.0')] ).

cnf(10,axiom,
    ( member(g(u,v,w),w)
    | member(g(u,v,w),v)
    | member(g(u,v,w),u)
    | union(u,v,w) ),
    file('SEV436-1.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ member(g(u,v,w),w)
    | ~ member(g(u,v,w),u)
    | union(u,v,w) ),
    file('SEV436-1.p',unknown),
    [] ).

cnf(12,axiom,
    ( ~ member(g(u,v,w),w)
    | ~ member(g(u,v,w),v)
    | union(u,v,w) ),
    file('SEV436-1.p',unknown),
    [] ).

cnf(37,plain,
    ( member(k(u,u,v),v)
    | difference(u,u,v) ),
    inference(obv,[status(thm),theory(equality)],[34]),
    [iquote('0:Obv:34.1')] ).

cnf(23,axiom,
    ( ~ member(k(u,v,w),v)
    | member(k(u,v,w),w)
    | difference(u,v,w) ),
    file('SEV436-1.p',unknown),
    [] ).

cnf(32,plain,
    ( member(h(u,v,u),u)
    | intersection(u,v,u) ),
    inference(fac,[status(thm)],[16]),
    [iquote('0:Fac:16.0,16.1')] ).

cnf(31,plain,
    ( member(h(u,v,v),v)
    | intersection(u,v,v) ),
    inference(fac,[status(thm)],[17]),
    [iquote('0:Fac:17.0,17.1')] ).

cnf(16,axiom,
    ( member(h(u,v,w),u)
    | member(h(u,v,w),w)
    | intersection(u,v,w) ),
    file('SEV436-1.p',unknown),
    [] ).

cnf(17,axiom,
    ( member(h(u,v,w),v)
    | member(h(u,v,w),w)
    | intersection(u,v,w) ),
    file('SEV436-1.p',unknown),
    [] ).

cnf(30,plain,
    ( member(k(u,v,u),u)
    | difference(u,v,u) ),
    inference(fac,[status(thm)],[22]),
    [iquote('0:Fac:22.0,22.1')] ).

cnf(22,axiom,
    ( member(k(u,v,w),w)
    | member(k(u,v,w),u)
    | difference(u,v,w) ),
    file('SEV436-1.p',unknown),
    [] ).

cnf(15,axiom,
    ( ~ member(u,v)
    | ~ member(u,w)
    | ~ intersection(v,w,x)
    | member(u,x) ),
    file('SEV436-1.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ member(u,v)
    | ~ union(w,x,v)
    | member(u,x)
    | member(u,w) ),
    file('SEV436-1.p',unknown),
    [] ).

cnf(21,axiom,
    ( ~ member(u,v)
    | ~ difference(v,w,x)
    | member(u,w)
    | member(u,x) ),
    file('SEV436-1.p',unknown),
    [] ).

cnf(20,axiom,
    ( ~ member(u,v)
    | ~ member(u,w)
    | ~ difference(x,w,v) ),
    file('SEV436-1.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ member(u,v)
    | ~ union(v,w,x)
    | member(u,x) ),
    file('SEV436-1.p',unknown),
    [] ).

cnf(9,axiom,
    ( ~ member(u,v)
    | ~ union(w,v,x)
    | member(u,x) ),
    file('SEV436-1.p',unknown),
    [] ).

cnf(13,axiom,
    ( ~ member(u,v)
    | ~ intersection(w,x,v)
    | member(u,w) ),
    file('SEV436-1.p',unknown),
    [] ).

cnf(14,axiom,
    ( ~ member(u,v)
    | ~ intersection(w,x,v)
    | member(u,x) ),
    file('SEV436-1.p',unknown),
    [] ).

cnf(19,axiom,
    ( ~ member(u,v)
    | ~ difference(w,x,v)
    | member(u,w) ),
    file('SEV436-1.p',unknown),
    [] ).

cnf(1,axiom,
    ( ~ subset(u,v)
    | ~ member(w,u)
    | member(w,v) ),
    file('SEV436-1.p',unknown),
    [] ).

cnf(26,plain,
    subset(u,u),
    inference(obv,[status(thm),theory(equality)],[25]),
    [iquote('0:Obv:25.0')] ).

cnf(6,axiom,
    ( ~ subset(u,v)
    | ~ subset(v,u)
    | equal_sets(u,v) ),
    file('SEV436-1.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ member(member_of_1_not_of_2(u,v),v)
    | subset(u,v) ),
    file('SEV436-1.p',unknown),
    [] ).

cnf(2,axiom,
    ( subset(u,v)
    | member(member_of_1_not_of_2(u,v),u) ),
    file('SEV436-1.p',unknown),
    [] ).

cnf(4,axiom,
    ( ~ equal_sets(u,v)
    | subset(u,v) ),
    file('SEV436-1.p',unknown),
    [] ).

cnf(5,axiom,
    ( ~ equal_sets(u,v)
    | subset(v,u) ),
    file('SEV436-1.p',unknown),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEV436-1 : TPTP v8.1.0. Released v6.4.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun 28 09:32:08 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.42  
% 0.19/0.42  SPASS V 3.9 
% 0.19/0.42  SPASS beiseite: Completion found.
% 0.19/0.42  % SZS status CounterSatisfiable
% 0.19/0.42  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.42  SPASS derived 48 clauses, backtracked 0 clauses, performed 0 splits and kept 39 clauses.
% 0.19/0.42  SPASS allocated 63157 KBytes.
% 0.19/0.42  SPASS spent	0:00:00.07 on the problem.
% 0.19/0.42  		0:00:00.04 for the input.
% 0.19/0.42  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.42  		0:00:00.00 for inferences.
% 0.19/0.42  		0:00:00.00 for the backtracking.
% 0.19/0.42  		0:00:00.00 for the reduction.
% 0.19/0.42  
% 0.19/0.42  
% 0.19/0.42   The saturated set of worked-off clauses is :
% 0.19/0.42  % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------