%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SWV001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n025.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 17:44:05 EDT 2024

% Result   : Unsatisfiable 0.39s 0.63s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   20 (   7 unt;   4 nHn;  18 RR)
%            Number of literals    :   40 (   0 equ;  20 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   17 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(less_or_equal_reflexivity,axiom,
    less_or_equalish(X2,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_reflexivity) ).

cnf(all_less_or_equal,axiom,
    ( less_or_equalish(X4,X3)
    | less_or_equalish(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_less_or_equal) ).

cnf(clause_6,negated_conjecture,
    ( ~ q4(a,b,X43)
    | ~ less_or_equalish(a,X43)
    | ~ less_or_equalish(b,X43)
    | ~ less_or_equalish(X43,a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).

cnf(clause_4,axiom,
    ( ~ q3(X18,X16,X17)
    | q4(X18,X16,X18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).

cnf(clause_5,negated_conjecture,
    q1(a,b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).

cnf(clause_2,axiom,
    ( ~ q1(X35,X33,X34)
    | less_or_equalish(X35,X33)
    | q3(X35,X33,X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

cnf(c17,plain,
    ( less_or_equalish(a,b)
    | q3(a,b,c) ),
    inference(resolution,[status(thm)],[clause_2,clause_5]) ).

cnf(c56,plain,
    ( less_or_equalish(a,b)
    | q4(a,b,a) ),
    inference(resolution,[status(thm)],[c17,clause_4]) ).

cnf(c70,plain,
    ( less_or_equalish(a,b)
    | ~ less_or_equalish(a,a)
    | ~ less_or_equalish(b,a) ),
    inference(resolution,[status(thm)],[c56,clause_6]) ).

cnf(c262,plain,
    ( less_or_equalish(a,b)
    | ~ less_or_equalish(a,a) ),
    inference(resolution,[status(thm)],[c70,all_less_or_equal]) ).

cnf(c285,plain,
    less_or_equalish(a,b),
    inference(resolution,[status(thm)],[c262,less_or_equal_reflexivity]) ).

cnf(clause_7,negated_conjecture,
    ( ~ q4(a,b,X57)
    | ~ less_or_equalish(a,X57)
    | ~ less_or_equalish(b,X57)
    | ~ less_or_equalish(X57,b) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).

cnf(clause_3,axiom,
    ( ~ q2(X15,X13,X14)
    | q4(X15,X13,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

cnf(clause_1,axiom,
    ( ~ q1(X26,X24,X25)
    | ~ less_or_equalish(X26,X24)
    | q2(X26,X24,X25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

cnf(c7,plain,
    ( ~ less_or_equalish(a,b)
    | q2(a,b,c) ),
    inference(resolution,[status(thm)],[clause_1,clause_5]) ).

cnf(c288,plain,
    q2(a,b,c),
    inference(resolution,[status(thm)],[c285,c7]) ).

cnf(c295,plain,
    q4(a,b,b),
    inference(resolution,[status(thm)],[c288,clause_3]) ).

cnf(c296,plain,
    ( ~ less_or_equalish(a,b)
    | ~ less_or_equalish(b,b) ),
    inference(resolution,[status(thm)],[c295,clause_7]) ).

cnf(c340,plain,
    ~ less_or_equalish(a,b),
    inference(resolution,[status(thm)],[c296,less_or_equal_reflexivity]) ).

cnf(c345,plain,
    $false,
    inference(resolution,[status(thm)],[c340,c285]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWV001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  9 05:24:38 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.39/0.63  % Version:  1.5
% 0.39/0.63  % SZS status Unsatisfiable
% 0.39/0.63  % SZS output start CNFRefutation
% See solution above
% 0.39/0.63  
% 0.39/0.63  % Initial clauses    : 14
% 0.39/0.63  % Processed clauses  : 60
% 0.39/0.63  % Factors computed   : 12
% 0.39/0.63  % Resolvents computed: 345
% 0.39/0.63  % Tautologies deleted: 5
% 0.39/0.63  % Forward subsumed   : 70
% 0.39/0.63  % Backward subsumed  : 27
% 0.39/0.63  % -------- CPU Time ---------
% 0.39/0.63  % User time          : 0.259 s
% 0.39/0.63  % System time        : 0.014 s
% 0.39/0.63  % Total time         : 0.273 s
%------------------------------------------------------------------------------