%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : HEN003-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n002.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 17:24:46 EDT 2024
% Result : Unsatisfiable 2.45s 2.69s
% Output : Refutation 2.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 28 ( 15 unt; 0 nHn; 14 RR)
% Number of literals : 47 ( 28 equ; 20 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 55 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_x_divide_x_is_zero,negated_conjecture,
divide(a,a) != zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_x_divide_x_is_zero) ).
cnf(zero_is_smallest,axiom,
less_equal(zero,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',zero_is_smallest) ).
cnf(quotient_less_equal1,axiom,
( ~ less_equal(X10,X9)
| divide(X10,X9) = zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_less_equal1) ).
cnf(c4,plain,
divide(zero,X13) = zero,
inference(resolution,[status(thm)],[quotient_less_equal1,zero_is_smallest]) ).
cnf(transitivity,axiom,
( X37 != X36
| X36 != X35
| X37 = X35 ),
theory(equality) ).
cnf(c27,plain,
( X78 != divide(zero,X79)
| X78 = zero ),
inference(resolution,[status(thm)],[transitivity,c4]) ).
cnf(less_equal_and_equal,axiom,
( ~ less_equal(X34,X33)
| ~ less_equal(X33,X34)
| X34 = X33 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',less_equal_and_equal) ).
cnf(symmetry,axiom,
( X8 != X7
| X7 = X8 ),
theory(equality) ).
cnf(c7,plain,
zero = divide(zero,X15),
inference(resolution,[status(thm)],[c4,symmetry]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c1,axiom,
( X55 != X53
| X52 != X54
| ~ less_equal(X55,X52)
| less_equal(X53,X54) ),
theory(equality) ).
cnf(c46,plain,
( zero != X125
| X124 != X123
| less_equal(X125,X123) ),
inference(resolution,[status(thm)],[c1,zero_is_smallest]) ).
cnf(c129,plain,
( zero != X130
| less_equal(X130,X131) ),
inference(resolution,[status(thm)],[c46,reflexivity]) ).
cnf(c155,plain,
less_equal(divide(zero,X139),X138),
inference(resolution,[status(thm)],[c129,c7]) ).
cnf(c177,plain,
( ~ less_equal(X1004,divide(zero,X1003))
| X1004 = divide(zero,X1003) ),
inference(resolution,[status(thm)],[c155,less_equal_and_equal]) ).
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(c19,plain,
( ~ less_equal(X47,zero)
| X47 = zero ),
inference(resolution,[status(thm)],[less_equal_and_equal,zero_is_smallest]) ).
cnf(quotient_smaller_than_numerator,axiom,
less_equal(divide(X6,X5),X6),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_smaller_than_numerator) ).
cnf(c5,plain,
divide(divide(X25,X26),X25) = zero,
inference(resolution,[status(thm)],[quotient_less_equal1,quotient_smaller_than_numerator]) ).
cnf(quotient_property,axiom,
less_equal(divide(divide(X24,X22),divide(X23,X22)),divide(divide(X24,X23),X22)),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_property) ).
cnf(c44,plain,
( divide(divide(X202,X201),divide(X203,X201)) != X205
| divide(divide(X202,X203),X201) != X204
| less_equal(X205,X204) ),
inference(resolution,[status(thm)],[c1,quotient_property]) ).
cnf(c320,plain,
( divide(divide(X2339,X2338),X2340) != X2337
| less_equal(divide(divide(X2339,X2340),divide(X2338,X2340)),X2337) ),
inference(resolution,[status(thm)],[c44,reflexivity]) ).
cnf(c5212,plain,
less_equal(divide(divide(X2360,X2360),divide(X2359,X2360)),zero),
inference(resolution,[status(thm)],[c320,c5]) ).
cnf(c5228,plain,
divide(divide(X2362,X2362),divide(X2361,X2362)) = zero,
inference(resolution,[status(thm)],[c5212,c19]) ).
cnf(c5243,plain,
less_equal(divide(X2372,X2372),divide(X2371,X2372)),
inference(resolution,[status(thm)],[c5228,quotient_less_equal2]) ).
cnf(c5266,plain,
divide(X2373,X2373) = divide(zero,X2373),
inference(resolution,[status(thm)],[c5243,c177]) ).
cnf(c5285,plain,
divide(X2378,X2378) = zero,
inference(resolution,[status(thm)],[c5266,c27]) ).
cnf(c5351,plain,
$false,
inference(resolution,[status(thm)],[c5285,prove_x_divide_x_is_zero]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : HEN003-3 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 13:53:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 2.45/2.69 % Version: 1.5
% 2.45/2.69 % SZS status Unsatisfiable
% 2.45/2.69 % SZS output start CNFRefutation
% See solution above
% 2.45/2.69
% 2.45/2.69 % Initial clauses : 13
% 2.45/2.69 % Processed clauses : 250
% 2.45/2.69 % Factors computed : 10
% 2.45/2.69 % Resolvents computed: 5346
% 2.45/2.69 % Tautologies deleted: 2
% 2.45/2.69 % Forward subsumed : 913
% 2.45/2.69 % Backward subsumed : 23
% 2.45/2.69 % -------- CPU Time ---------
% 2.45/2.69 % User time : 2.300 s
% 2.45/2.69 % System time : 0.026 s
% 2.45/2.69 % Total time : 2.326 s
%------------------------------------------------------------------------------