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PyRes---1.5.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : PUZ056-2.005 : TPTP v8.1.2. Released v3.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n023.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  : 300s
% DateTime : Thu May  9 17:37:43 EDT 2024

% Result   : Unsatisfiable 4.56s 4.74s
% Output   : Refutation 4.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   69
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   82 (  40 unt;   0 nHn;  65 RR)
%            Number of literals    :  180 (   0 equ;  99 neg)
%            Maximal clause size   :   10 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-5 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   83 (  18 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(goal,negated_conjecture,
    ~ p(s2,s2,s2,s2,s2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

cnf(rule1,axiom,
    ( ~ p(X6,X4,X2,X3,X7)
    | p(X5,X4,X2,X3,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1) ).

cnf(neq2,axiom,
    neq(s0,s1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq2) ).

cnf(neq3,axiom,
    neq(s0,s2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq3) ).

cnf(rule2,axiom,
    ( ~ p(X10,X12,X8,X9,X13)
    | ~ neq(X10,X12)
    | ~ neq(X10,X11)
    | p(X10,X11,X8,X9,X13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2) ).

cnf(neq4,axiom,
    neq(s1,s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq4) ).

cnf(neq6,axiom,
    neq(s1,s2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq6) ).

cnf(rule3,axiom,
    ( ~ p(X21,X20,X23,X19,X24)
    | ~ neq(X21,X23)
    | ~ neq(X21,X22)
    | ~ neq(X20,X23)
    | ~ neq(X20,X22)
    | p(X21,X20,X22,X19,X24) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3) ).

cnf(neq7,axiom,
    neq(s2,s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq7) ).

cnf(neq8,axiom,
    neq(s2,s1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq8) ).

cnf(rule4,axiom,
    ( ~ p(X29,X28,X27,X31,X32)
    | ~ neq(X29,X31)
    | ~ neq(X29,X30)
    | ~ neq(X28,X31)
    | ~ neq(X28,X30)
    | ~ neq(X27,X31)
    | ~ neq(X27,X30)
    | p(X29,X28,X27,X30,X32) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4) ).

cnf(rule5,axiom,
    ( ~ p(X38,X37,X35,X36,X40)
    | ~ neq(X38,X40)
    | ~ neq(X38,X39)
    | ~ neq(X37,X40)
    | ~ neq(X37,X39)
    | ~ neq(X35,X40)
    | ~ neq(X35,X39)
    | ~ neq(X36,X40)
    | ~ neq(X36,X39)
    | p(X38,X37,X35,X36,X39) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule5) ).

cnf(init,axiom,
    p(s0,s0,s0,s0,s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',init) ).

cnf(c0,plain,
    p(X14,s0,s0,s0,s0),
    inference(resolution,[status(thm)],[init,rule1]) ).

cnf(c3,plain,
    ( ~ neq(X16,s0)
    | ~ neq(X16,X17)
    | p(X16,X17,s0,s0,s0) ),
    inference(resolution,[status(thm)],[c0,rule2]) ).

cnf(c5,plain,
    ( ~ neq(s2,s0)
    | p(s2,s1,s0,s0,s0) ),
    inference(resolution,[status(thm)],[c3,neq8]) ).

cnf(c12,plain,
    p(s2,s1,s0,s0,s0),
    inference(resolution,[status(thm)],[c5,neq7]) ).

cnf(c13,plain,
    p(X25,s1,s0,s0,s0),
    inference(resolution,[status(thm)],[c12,rule1]) ).

cnf(c17,plain,
    ( ~ neq(X54,s0)
    | ~ neq(X54,X53)
    | ~ neq(s1,s0)
    | ~ neq(s1,X53)
    | p(X54,s1,X53,s0,s0) ),
    inference(resolution,[status(thm)],[c13,rule3]) ).

cnf(c51,plain,
    ( ~ neq(s1,s0)
    | ~ neq(s1,X55)
    | p(s1,s1,X55,s0,s0) ),
    inference(factor,[status(thm)],[c17]) ).

cnf(c56,plain,
    ( ~ neq(s1,s0)
    | p(s1,s1,s2,s0,s0) ),
    inference(resolution,[status(thm)],[c51,neq6]) ).

cnf(c58,plain,
    p(s1,s1,s2,s0,s0),
    inference(resolution,[status(thm)],[c56,neq4]) ).

cnf(c62,plain,
    p(X58,s1,s2,s0,s0),
    inference(resolution,[status(thm)],[c58,rule1]) ).

cnf(c66,plain,
    ( ~ neq(X60,s1)
    | ~ neq(X60,X61)
    | p(X60,X61,s2,s0,s0) ),
    inference(resolution,[status(thm)],[c62,rule2]) ).

cnf(c72,plain,
    ( ~ neq(s0,s1)
    | p(s0,s2,s2,s0,s0) ),
    inference(resolution,[status(thm)],[c66,neq3]) ).

cnf(c87,plain,
    p(s0,s2,s2,s0,s0),
    inference(resolution,[status(thm)],[c72,neq2]) ).

cnf(c91,plain,
    p(X68,s2,s2,s0,s0),
    inference(resolution,[status(thm)],[c87,rule1]) ).

cnf(c93,plain,
    ( ~ neq(X144,s0)
    | ~ neq(X144,X145)
    | ~ neq(s2,s0)
    | ~ neq(s2,X145)
    | p(X144,s2,s2,X145,s0) ),
    inference(resolution,[status(thm)],[c91,rule4]) ).

cnf(c205,plain,
    ( ~ neq(s2,s0)
    | ~ neq(s2,X146)
    | p(s2,s2,s2,X146,s0) ),
    inference(factor,[status(thm)],[c93]) ).

cnf(c210,plain,
    ( ~ neq(s2,s0)
    | p(s2,s2,s2,s1,s0) ),
    inference(resolution,[status(thm)],[c205,neq8]) ).

cnf(c212,plain,
    p(s2,s2,s2,s1,s0),
    inference(resolution,[status(thm)],[c210,neq7]) ).

cnf(c216,plain,
    p(X148,s2,s2,s1,s0),
    inference(resolution,[status(thm)],[c212,rule1]) ).

cnf(c220,plain,
    ( ~ neq(X151,s2)
    | ~ neq(X151,X152)
    | p(X151,X152,s2,s1,s0) ),
    inference(resolution,[status(thm)],[c216,rule2]) ).

cnf(c229,plain,
    ( ~ neq(s1,s2)
    | p(s1,s0,s2,s1,s0) ),
    inference(resolution,[status(thm)],[c220,neq4]) ).

cnf(c241,plain,
    p(s1,s0,s2,s1,s0),
    inference(resolution,[status(thm)],[c229,neq6]) ).

cnf(c245,plain,
    p(X159,s0,s2,s1,s0),
    inference(resolution,[status(thm)],[c241,rule1]) ).

cnf(c251,plain,
    ( ~ neq(X296,s2)
    | ~ neq(X296,X295)
    | ~ neq(s0,s2)
    | ~ neq(s0,X295)
    | p(X296,s0,X295,s1,s0) ),
    inference(resolution,[status(thm)],[c245,rule3]) ).

cnf(c450,plain,
    ( ~ neq(s0,s2)
    | ~ neq(s0,X297)
    | p(s0,s0,X297,s1,s0) ),
    inference(factor,[status(thm)],[c251]) ).

cnf(c456,plain,
    ( ~ neq(s0,s2)
    | p(s0,s0,s1,s1,s0) ),
    inference(resolution,[status(thm)],[c450,neq2]) ).

cnf(c457,plain,
    p(s0,s0,s1,s1,s0),
    inference(resolution,[status(thm)],[c456,neq3]) ).

cnf(c461,plain,
    p(X298,s0,s1,s1,s0),
    inference(resolution,[status(thm)],[c457,rule1]) ).

cnf(c465,plain,
    ( ~ neq(X300,s0)
    | ~ neq(X300,X301)
    | p(X300,X301,s1,s1,s0) ),
    inference(resolution,[status(thm)],[c461,rule2]) ).

cnf(c469,plain,
    ( ~ neq(s2,s0)
    | p(s2,s1,s1,s1,s0) ),
    inference(resolution,[status(thm)],[c465,neq8]) ).

cnf(c478,plain,
    p(s2,s1,s1,s1,s0),
    inference(resolution,[status(thm)],[c469,neq7]) ).

cnf(c482,plain,
    p(X304,s1,s1,s1,s0),
    inference(resolution,[status(thm)],[c478,rule1]) ).

cnf(c485,plain,
    ( ~ neq(X456,s0)
    | ~ neq(X456,X455)
    | ~ neq(s1,s0)
    | ~ neq(s1,X455)
    | p(X456,s1,s1,s1,X455) ),
    inference(resolution,[status(thm)],[c482,rule5]) ).

cnf(c720,plain,
    ( ~ neq(s1,s0)
    | ~ neq(s1,X458)
    | p(s1,s1,s1,s1,X458) ),
    inference(factor,[status(thm)],[c485]) ).

cnf(c728,plain,
    ( ~ neq(s1,s0)
    | p(s1,s1,s1,s1,s2) ),
    inference(resolution,[status(thm)],[c720,neq6]) ).

cnf(c730,plain,
    p(s1,s1,s1,s1,s2),
    inference(resolution,[status(thm)],[c728,neq4]) ).

cnf(c734,plain,
    p(X459,s1,s1,s1,s2),
    inference(resolution,[status(thm)],[c730,rule1]) ).

cnf(c738,plain,
    ( ~ neq(X462,s1)
    | ~ neq(X462,X463)
    | p(X462,X463,s1,s1,s2) ),
    inference(resolution,[status(thm)],[c734,rule2]) ).

cnf(c744,plain,
    ( ~ neq(s0,s1)
    | p(s0,s2,s1,s1,s2) ),
    inference(resolution,[status(thm)],[c738,neq3]) ).

cnf(c759,plain,
    p(s0,s2,s1,s1,s2),
    inference(resolution,[status(thm)],[c744,neq2]) ).

cnf(c763,plain,
    p(X469,s2,s1,s1,s2),
    inference(resolution,[status(thm)],[c759,rule1]) ).

cnf(c769,plain,
    ( ~ neq(X655,s1)
    | ~ neq(X655,X654)
    | ~ neq(s2,s1)
    | ~ neq(s2,X654)
    | p(X655,s2,X654,s1,s2) ),
    inference(resolution,[status(thm)],[c763,rule3]) ).

cnf(c998,plain,
    ( ~ neq(s2,s1)
    | ~ neq(s2,X657)
    | p(s2,s2,X657,s1,s2) ),
    inference(factor,[status(thm)],[c769]) ).

cnf(c1004,plain,
    ( ~ neq(s2,s1)
    | p(s2,s2,s0,s1,s2) ),
    inference(resolution,[status(thm)],[c998,neq7]) ).

cnf(c1005,plain,
    p(s2,s2,s0,s1,s2),
    inference(resolution,[status(thm)],[c1004,neq8]) ).

cnf(c1009,plain,
    p(X659,s2,s0,s1,s2),
    inference(resolution,[status(thm)],[c1005,rule1]) ).

cnf(c1013,plain,
    ( ~ neq(X661,s2)
    | ~ neq(X661,X662)
    | p(X661,X662,s0,s1,s2) ),
    inference(resolution,[status(thm)],[c1009,rule2]) ).

cnf(c1022,plain,
    ( ~ neq(s1,s2)
    | p(s1,s0,s0,s1,s2) ),
    inference(resolution,[status(thm)],[c1013,neq4]) ).

cnf(c1034,plain,
    p(s1,s0,s0,s1,s2),
    inference(resolution,[status(thm)],[c1022,neq6]) ).

cnf(c1038,plain,
    p(X671,s0,s0,s1,s2),
    inference(resolution,[status(thm)],[c1034,rule1]) ).

cnf(c1045,plain,
    ( ~ neq(X858,s1)
    | ~ neq(X858,X859)
    | ~ neq(s0,s1)
    | ~ neq(s0,X859)
    | p(X858,s0,s0,X859,s2) ),
    inference(resolution,[status(thm)],[c1038,rule4]) ).

cnf(c1318,plain,
    ( ~ neq(s0,s1)
    | ~ neq(s0,X860)
    | p(s0,s0,s0,X860,s2) ),
    inference(factor,[status(thm)],[c1045]) ).

cnf(c1323,plain,
    ( ~ neq(s0,s1)
    | p(s0,s0,s0,s2,s2) ),
    inference(resolution,[status(thm)],[c1318,neq3]) ).

cnf(c1328,plain,
    p(s0,s0,s0,s2,s2),
    inference(resolution,[status(thm)],[c1323,neq2]) ).

cnf(c1332,plain,
    p(X862,s0,s0,s2,s2),
    inference(resolution,[status(thm)],[c1328,rule1]) ).

cnf(c1336,plain,
    ( ~ neq(X865,s0)
    | ~ neq(X865,X866)
    | p(X865,X866,s0,s2,s2) ),
    inference(resolution,[status(thm)],[c1332,rule2]) ).

cnf(c1340,plain,
    ( ~ neq(s2,s0)
    | p(s2,s1,s0,s2,s2) ),
    inference(resolution,[status(thm)],[c1336,neq8]) ).

cnf(c1346,plain,
    p(s2,s1,s0,s2,s2),
    inference(resolution,[status(thm)],[c1340,neq7]) ).

cnf(c1350,plain,
    p(X870,s1,s0,s2,s2),
    inference(resolution,[status(thm)],[c1346,rule1]) ).

cnf(c1356,plain,
    ( ~ neq(X1124,s0)
    | ~ neq(X1124,X1123)
    | ~ neq(s1,s0)
    | ~ neq(s1,X1123)
    | p(X1124,s1,X1123,s2,s2) ),
    inference(resolution,[status(thm)],[c1350,rule3]) ).

cnf(c1747,plain,
    ( ~ neq(s1,s0)
    | ~ neq(s1,X1125)
    | p(s1,s1,X1125,s2,s2) ),
    inference(factor,[status(thm)],[c1356]) ).

cnf(c1752,plain,
    ( ~ neq(s1,s0)
    | p(s1,s1,s2,s2,s2) ),
    inference(resolution,[status(thm)],[c1747,neq6]) ).

cnf(c1754,plain,
    p(s1,s1,s2,s2,s2),
    inference(resolution,[status(thm)],[c1752,neq4]) ).

cnf(c1758,plain,
    p(X1127,s1,s2,s2,s2),
    inference(resolution,[status(thm)],[c1754,rule1]) ).

cnf(c1762,plain,
    ( ~ neq(X1129,s1)
    | ~ neq(X1129,X1130)
    | p(X1129,X1130,s2,s2,s2) ),
    inference(resolution,[status(thm)],[c1758,rule2]) ).

cnf(c1768,plain,
    ( ~ neq(s0,s1)
    | p(s0,s2,s2,s2,s2) ),
    inference(resolution,[status(thm)],[c1762,neq3]) ).

cnf(c1788,plain,
    p(s0,s2,s2,s2,s2),
    inference(resolution,[status(thm)],[c1768,neq2]) ).

cnf(c1792,plain,
    p(X1138,s2,s2,s2,s2),
    inference(resolution,[status(thm)],[c1788,rule1]) ).

cnf(c1798,plain,
    $false,
    inference(resolution,[status(thm)],[c1792,goal]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ056-2.005 : TPTP v8.1.2. Released v3.5.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed May  8 20:41:23 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 4.56/4.74  % Version:  1.5
% 4.56/4.74  % SZS status Unsatisfiable
% 4.56/4.74  % SZS output start CNFRefutation
% See solution above
% 4.56/4.74  
% 4.56/4.74  % Initial clauses    : 16
% 4.56/4.74  % Processed clauses  : 438
% 4.56/4.74  % Factors computed   : 372
% 4.56/4.74  % Resolvents computed: 1428
% 4.56/4.74  % Tautologies deleted: 0
% 4.56/4.74  % Forward subsumed   : 1246
% 4.56/4.74  % Backward subsumed  : 139
% 4.56/4.74  % -------- CPU Time ---------
% 4.56/4.74  % User time          : 4.370 s
% 4.56/4.74  % System time        : 0.020 s
% 4.56/4.74  % Total time         : 4.390 s
%------------------------------------------------------------------------------