TSTP Solution File: HEN003-2 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : HEN003-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n004.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 13:01:59 EDT 2022

% Result   : Unsatisfiable 2.32s 0.68s
% Output   : Proof 2.32s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

cnf(g1,plain,
    sPE(x,x),
    inference(ground_cnf,[],[theory(equality)]) ).

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

cnf(g3,plain,
    quotient(zero,x,zero),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_divide_anything_is_zero)]) ).

cnf(g4,plain,
    quotient(x,x,divide(x,x)),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',closure)]) ).

cnf(g5,plain,
    ( ~ sPE(x,x)
    | ~ sPE(x,x)
    | ~ sPE(divide(x,x),zero)
    | ~ quotient(x,x,divide(x,x))
    | quotient(x,x,zero) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    quotient(x,zero,divide(x,zero)),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',closure)]) ).

cnf(g7,plain,
    ( ~ sPE(x,x)
    | ~ sPE(x,x)
    | sPE(divide(x,x),divide(x,x)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    less_equal(zero,divide(x,x)),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',zero_is_smallest)]) ).

cnf(g9,plain,
    ( ~ less_equal(divide(x,x),zero)
    | ~ less_equal(zero,divide(x,x))
    | sPE(divide(x,x),zero) ),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',less_equal_and_equal)]) ).

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

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

cnf(g12,plain,
    quotient(divide(x,x),zero,divide(divide(x,x),zero)),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',closure)]) ).

cnf(g13,plain,
    ( ~ sPE(zero,divide(divide(x,x),zero))
    | sPE(divide(divide(x,x),zero),zero) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    ( ~ quotient(zero,divide(divide(x,x),zero),zero)
    | less_equal(zero,divide(divide(x,x),zero)) ),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',less_equal_quotient)]) ).

cnf(g15,plain,
    quotient(zero,divide(divide(x,x),zero),zero),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_divide_anything_is_zero)]) ).

cnf(g16,plain,
    ( ~ quotient(x,zero,divide(x,zero))
    | ~ quotient(x,x,divide(x,x))
    | ~ quotient(zero,x,zero)
    | ~ quotient(divide(x,zero),x,zero)
    | ~ quotient(divide(x,x),zero,divide(divide(x,x),zero))
    | less_equal(divide(divide(x,x),zero),zero) ),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',quotient_property)]) ).

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

cnf(g18,plain,
    ( ~ quotient(x,zero,divide(x,zero))
    | less_equal(divide(x,zero),x) ),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',divisor_existence)]) ).

cnf(g19,plain,
    ( ~ sPE(divide(x,x),divide(x,x))
    | ~ sPE(zero,zero)
    | ~ sPE(divide(divide(x,x),zero),zero)
    | ~ quotient(divide(x,x),zero,divide(divide(x,x),zero))
    | quotient(divide(x,x),zero,zero) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : HEN003-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14  % Command  : satcop --statistics %s
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Fri Jul  1 13:20:53 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 2.32/0.68  % symbols: 8
% 2.32/0.68  % clauses: 18
% 2.32/0.68  % start clauses: 1
% 2.32/0.68  % iterative deepening steps: 1073
% 2.32/0.68  % maximum path limit: 7
% 2.32/0.68  % literal attempts: 559073
% 2.32/0.68  % depth failures: 295403
% 2.32/0.68  % regularity failures: 36451
% 2.32/0.68  % tautology failures: 44281
% 2.32/0.68  % reductions: 0
% 2.32/0.68  % extensions: 558146
% 2.32/0.68  % SAT variables: 10408
% 2.32/0.68  % SAT clauses: 38672
% 2.32/0.68  % WalkSAT solutions: 38673
% 2.32/0.68  % CDCL solutions: 0
% 2.32/0.68  % SZS status Unsatisfiable for theBenchmark
% 2.32/0.68  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------