%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : HEN009-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n010.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 17:24:50 EDT 2024
% Result : Unsatisfiable 6.06s 6.22s
% Output : Refutation 6.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 7 unt; 0 nHn; 6 RR)
% Number of literals : 18 ( 6 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
divide(identity,a) != divide(identity,divide(identity,divide(identity,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(less_equal_and_equal,axiom,
( ~ less_equal(X32,X31)
| ~ less_equal(X31,X32)
| X32 = X31 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',less_equal_and_equal) ).
cnf(x_divide_x_is_zero,axiom,
divide(X7,X7) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
cnf(quotient_less_equal2,axiom,
( divide(X17,X16) != zero
| less_equal(X17,X16) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).
cnf(c10,plain,
less_equal(X18,X18),
inference(resolution,[status(thm)],[quotient_less_equal2,x_divide_x_is_zero]) ).
cnf(property_of_divide1,axiom,
( ~ less_equal(divide(X47,X46),X45)
| less_equal(divide(X47,X45),X46) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide1) ).
cnf(c35,plain,
less_equal(divide(X88,divide(X88,X87)),X87),
inference(resolution,[status(thm)],[property_of_divide1,c10]) ).
cnf(c90,plain,
( ~ less_equal(X472,divide(X471,divide(X471,X472)))
| X472 = divide(X471,divide(X471,X472)) ),
inference(resolution,[status(thm)],[c35,less_equal_and_equal]) ).
cnf(property_of_divide2,axiom,
( ~ less_equal(X60,X59)
| less_equal(divide(X58,X59),divide(X58,X60)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide2) ).
cnf(c93,plain,
less_equal(divide(X500,X499),divide(X500,divide(X498,divide(X498,X499)))),
inference(resolution,[status(thm)],[c35,property_of_divide2]) ).
cnf(c658,plain,
divide(X5157,X5158) = divide(X5157,divide(X5157,divide(X5157,X5158))),
inference(resolution,[status(thm)],[c93,c90]) ).
cnf(c13035,plain,
$false,
inference(resolution,[status(thm)],[c658,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : HEN009-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n010.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 : 300
% 0.12/0.33 % DateTime : Wed May 8 13:53:23 EDT 2024
% 0.12/0.34 % CPUTime :
% 6.06/6.22 % Version: 1.5
% 6.06/6.22 % SZS status Unsatisfiable
% 6.06/6.22 % SZS output start CNFRefutation
% See solution above
% 6.06/6.22
% 6.06/6.22 % Initial clauses : 21
% 6.06/6.22 % Processed clauses : 400
% 6.06/6.22 % Factors computed : 20
% 6.06/6.22 % Resolvents computed: 13017
% 6.06/6.22 % Tautologies deleted: 4
% 6.06/6.22 % Forward subsumed : 2014
% 6.06/6.22 % Backward subsumed : 19
% 6.06/6.22 % -------- CPU Time ---------
% 6.06/6.22 % User time : 5.857 s
% 6.06/6.22 % System time : 0.027 s
% 6.06/6.22 % Total time : 5.884 s
%------------------------------------------------------------------------------