TSTP Solution File: HEN005-1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : HEN005-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n007.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 : Sat Jul 16 13:02:02 EDT 2022

% Result   : Unsatisfiable 8.41s 1.41s
% Output   : Proof 8.41s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ less_equal(x,z),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_transitivity_of_less_equal)]) ).

cnf(g1,plain,
    ( ~ quotient(x,z,zero)
    | less_equal(x,z) ),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',less_equal_quotient)]) ).

cnf(g2,plain,
    sPE(z,z),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g3,plain,
    less_equal(y,z),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',yLEz)]) ).

cnf(g4,plain,
    less_equal(zero,z),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',zero_is_smallest)]) ).

cnf(g5,plain,
    sPE(x,x),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    less_equal(x,y),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xLEy)]) ).

cnf(g7,plain,
    sPE(zero,zero),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    ( ~ sPE(x,x)
    | ~ sPE(z,z)
    | ~ sPE(divide(x,z),zero)
    | ~ quotient(x,z,divide(x,z))
    | quotient(x,z,zero) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g9,plain,
    quotient(x,z,divide(x,z)),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',closure)]) ).

cnf(g10,plain,
    ( ~ less_equal(divide(x,z),zero)
    | ~ less_equal(zero,divide(x,z))
    | sPE(divide(x,z),zero) ),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',less_equal_and_equal)]) ).

cnf(g11,plain,
    ( ~ less_equal(x,y)
    | quotient(x,y,zero) ),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',quotient_less_equal)]) ).

cnf(g12,plain,
    ( ~ less_equal(y,z)
    | quotient(y,z,zero) ),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',quotient_less_equal)]) ).

cnf(g13,plain,
    ( ~ quotient(divide(x,z),zero,zero)
    | less_equal(divide(x,z),zero) ),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',less_equal_quotient)]) ).

cnf(g14,plain,
    sPE(divide(x,z),divide(x,z)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    less_equal(zero,divide(x,z)),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',zero_is_smallest)]) ).

cnf(g16,plain,
    quotient(x,y,divide(x,y)),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',closure)]) ).

cnf(g17,plain,
    ( ~ quotient(x,y,divide(x,y))
    | ~ quotient(x,y,zero)
    | sPE(divide(x,y),zero) ),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',well_defined)]) ).

cnf(g18,plain,
    quotient(divide(x,z),zero,divide(divide(x,z),zero)),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',closure)]) ).

cnf(g19,plain,
    ( ~ less_equal(divide(x,y),z)
    | quotient(divide(x,y),z,zero) ),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',quotient_less_equal)]) ).

cnf(g20,plain,
    ( ~ sPE(divide(x,y),zero)
    | sPE(zero,divide(x,y)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g21,plain,
    less_equal(zero,divide(divide(x,z),zero)),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',zero_is_smallest)]) ).

cnf(g22,plain,
    ( ~ sPE(divide(x,z),divide(x,z))
    | ~ sPE(zero,zero)
    | ~ sPE(divide(divide(x,z),zero),zero)
    | ~ quotient(divide(x,z),zero,divide(divide(x,z),zero))
    | quotient(divide(x,z),zero,zero) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g23,plain,
    ( ~ less_equal(divide(divide(x,z),zero),zero)
    | ~ less_equal(zero,divide(divide(x,z),zero))
    | sPE(divide(divide(x,z),zero),zero) ),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',less_equal_and_equal)]) ).

cnf(g24,plain,
    ( ~ quotient(x,y,divide(x,y))
    | ~ quotient(x,z,divide(x,z))
    | ~ quotient(y,z,zero)
    | ~ quotient(divide(x,y),z,zero)
    | ~ quotient(divide(x,z),zero,divide(divide(x,z),zero))
    | less_equal(divide(divide(x,z),zero),zero) ),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',quotient_property)]) ).

cnf(g25,plain,
    ( ~ sPE(zero,divide(x,y))
    | ~ sPE(z,z)
    | ~ less_equal(zero,z)
    | less_equal(divide(x,y),z) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : HEN005-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n007.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 : Fri Jul  1 12:53:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 8.41/1.41  % symbols: 10
% 8.41/1.41  % clauses: 18
% 8.41/1.41  % start clauses: 1
% 8.41/1.41  % iterative deepening steps: 1881
% 8.41/1.41  % maximum path limit: 10
% 8.41/1.41  % literal attempts: 2234355
% 8.41/1.41  % depth failures: 1251067
% 8.41/1.41  % regularity failures: 114504
% 8.41/1.41  % tautology failures: 142453
% 8.41/1.41  % reductions: 0
% 8.41/1.41  % extensions: 2232980
% 8.41/1.41  % SAT variables: 32173
% 8.41/1.41  % SAT clauses: 118693
% 8.41/1.41  % WalkSAT solutions: 118693
% 8.41/1.41  % CDCL solutions: 1
% 8.41/1.41  % SZS status Unsatisfiable for theBenchmark
% 8.41/1.41  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------