%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : HEN010-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n020.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 13:02:11 EDT 2022

% Result   : Unsatisfiable 3.38s 0.87s
% Output   : Proof 3.38s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ sPE(idQa,idQa_Q__idQ_idQa),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_idQa_equals_idQa_Q__idQ_idQa)]) ).

cnf(g1,plain,
    quotient(identity,a,idQa),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_a)]) ).

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

cnf(g3,plain,
    quotient(idQa,idQ_idQa,idQa_Q__idQ_idQa),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_idQ_idQa)]) ).

cnf(g4,plain,
    less_equal(idQa,identity),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',identity_is_largest)]) ).

cnf(g5,plain,
    quotient(identity,idQ_idQa,divide(identity,idQ_idQa)),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',closure)]) ).

cnf(g6,plain,
    sPE(idQ_idQa,idQ_idQa),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g7,plain,
    quotient(identity,idQa,idQ_idQa),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_idQa)]) ).

cnf(g8,plain,
    ( ~ quotient(identity,a,idQa)
    | ~ quotient(identity,idQa,idQ_idQa)
    | ~ quotient(identity,idQ_idQa,idQa_Q__idQ_idQa)
    | sPE(idQa,idQa_Q__idQ_idQa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_inversion_equals_three)]) ).

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

cnf(g10,plain,
    quotient(divide(identity,idQ_idQa),zero,divide(identity,idQ_idQa)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divde_zero_is_x)]) ).

cnf(g11,plain,
    ( ~ sPE(identity,identity)
    | ~ sPE(idQ_idQa,idQ_idQa)
    | ~ sPE(divide(identity,idQ_idQa),idQa_Q__idQ_idQa)
    | ~ quotient(identity,idQ_idQa,divide(identity,idQ_idQa))
    | quotient(identity,idQ_idQa,idQa_Q__idQ_idQa) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    quotient(idQ_idQa,idQ_idQa,zero),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_x_is_zero)]) ).

cnf(g13,plain,
    ( ~ less_equal(idQa,identity)
    | ~ quotient(idQa,idQ_idQa,idQa_Q__idQ_idQa)
    | ~ quotient(identity,idQ_idQa,divide(identity,idQ_idQa))
    | less_equal(idQa_Q__idQ_idQa,divide(identity,idQ_idQa)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xLEy_implies_xQzLEyQz)]) ).

cnf(g14,plain,
    quotient(divide(identity,idQ_idQa),idQa_Q__idQ_idQa,divide(divide(identity,idQ_idQa),idQa_Q__idQ_idQa)),
    inference(ground_cnf,[],[file('Axioms/HEN001-0.ax',closure)]) ).

cnf(g15,plain,
    ( ~ less_equal(divide(divide(identity,idQ_idQa),idQa_Q__idQ_idQa),zero)
    | ~ quotient(divide(identity,idQ_idQa),idQa_Q__idQ_idQa,divide(divide(identity,idQ_idQa),idQa_Q__idQ_idQa))
    | ~ quotient(divide(identity,idQ_idQa),zero,divide(identity,idQ_idQa))
    | less_equal(divide(identity,idQ_idQa),idQa_Q__idQ_idQa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xQyLEz_implies_xQzLEy)]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : HEN010-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : satcop --statistics %s
% 0.12/0.34  % Computer : n020.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 : Fri Jul  1 14:23:30 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 3.38/0.87  % symbols: 11
% 3.38/0.87  % clauses: 28
% 3.38/0.87  % start clauses: 1
% 3.38/0.87  % iterative deepening steps: 1157
% 3.38/0.87  % maximum path limit: 6
% 3.38/0.87  % literal attempts: 742515
% 3.38/0.87  % depth failures: 470449
% 3.38/0.87  % regularity failures: 24087
% 3.38/0.87  % tautology failures: 33165
% 3.38/0.87  % reductions: 0
% 3.38/0.87  % extensions: 742141
% 3.38/0.87  % SAT variables: 36068
% 3.38/0.87  % SAT clauses: 115922
% 3.38/0.87  % WalkSAT solutions: 115923
% 3.38/0.87  % CDCL solutions: 0
% 3.38/0.87  % SZS status Unsatisfiable for theBenchmark
% 3.38/0.87  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------