%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : HEN012-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 17:24:51 EDT 2024
% Result : Unsatisfiable 2.14s 2.34s
% Output : Refutation 2.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 29 ( 16 unt; 0 nHn; 14 RR)
% Number of literals : 48 ( 27 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 : 56 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_a_LE_a,negated_conjecture,
~ less_equal(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_LE_a) ).
cnf(quotient_less_equal2,axiom,
( divide(X15,X16) != zero
| less_equal(X15,X16) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).
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(X7,X8)
| divide(X7,X8) = zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_less_equal1) ).
cnf(c3,plain,
divide(zero,X13) = zero,
inference(resolution,[status(thm)],[quotient_less_equal1,zero_is_smallest]) ).
cnf(transitivity,axiom,
( X35 != X37
| X37 != X36
| X35 = X36 ),
theory(equality) ).
cnf(c26,plain,
( X79 != divide(zero,X78)
| X79 = zero ),
inference(resolution,[status(thm)],[transitivity,c3]) ).
cnf(less_equal_and_equal,axiom,
( ~ less_equal(X33,X34)
| ~ less_equal(X34,X33)
| X33 = X34 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',less_equal_and_equal) ).
cnf(symmetry,axiom,
( X9 != X10
| X10 = X9 ),
theory(equality) ).
cnf(c7,plain,
zero = divide(zero,X19),
inference(resolution,[status(thm)],[c3,symmetry]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c1,axiom,
( X51 != X53
| X52 != X54
| ~ less_equal(X51,X52)
| less_equal(X53,X54) ),
theory(equality) ).
cnf(c45,plain,
( zero != X123
| X122 != X124
| less_equal(X123,X124) ),
inference(resolution,[status(thm)],[c1,zero_is_smallest]) ).
cnf(c135,plain,
( zero != X130
| less_equal(X130,X129) ),
inference(resolution,[status(thm)],[c45,reflexivity]) ).
cnf(c154,plain,
less_equal(divide(zero,X138),X139),
inference(resolution,[status(thm)],[c135,c7]) ).
cnf(c176,plain,
( ~ less_equal(X1055,divide(zero,X1056))
| X1055 = divide(zero,X1056) ),
inference(resolution,[status(thm)],[c154,less_equal_and_equal]) ).
cnf(c18,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(X5,X6),X5),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_smaller_than_numerator) ).
cnf(c4,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(X22,X23),divide(X24,X23)),divide(divide(X22,X24),X23)),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_property) ).
cnf(c47,plain,
( divide(divide(X205,X206),divide(X202,X206)) != X203
| divide(divide(X205,X202),X206) != X204
| less_equal(X203,X204) ),
inference(resolution,[status(thm)],[c1,quotient_property]) ).
cnf(c333,plain,
( divide(divide(X2178,X2181),X2179) != X2180
| less_equal(divide(divide(X2178,X2179),divide(X2181,X2179)),X2180) ),
inference(resolution,[status(thm)],[c47,reflexivity]) ).
cnf(c4785,plain,
less_equal(divide(divide(X2182,X2182),divide(X2183,X2182)),zero),
inference(resolution,[status(thm)],[c333,c4]) ).
cnf(c4793,plain,
divide(divide(X2185,X2185),divide(X2184,X2185)) = zero,
inference(resolution,[status(thm)],[c4785,c18]) ).
cnf(c4818,plain,
less_equal(divide(X2195,X2195),divide(X2194,X2195)),
inference(resolution,[status(thm)],[c4793,quotient_less_equal2]) ).
cnf(c4858,plain,
divide(X2196,X2196) = divide(zero,X2196),
inference(resolution,[status(thm)],[c4818,c176]) ).
cnf(c4868,plain,
divide(X2197,X2197) = zero,
inference(resolution,[status(thm)],[c4858,c26]) ).
cnf(c4927,plain,
less_equal(X2198,X2198),
inference(resolution,[status(thm)],[c4868,quotient_less_equal2]) ).
cnf(c4939,plain,
$false,
inference(resolution,[status(thm)],[c4927,prove_a_LE_a]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN012-3 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed May 8 13:49:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 2.14/2.34 % Version: 1.5
% 2.14/2.34 % SZS status Unsatisfiable
% 2.14/2.34 % SZS output start CNFRefutation
% See solution above
% 2.14/2.34
% 2.14/2.34 % Initial clauses : 13
% 2.14/2.34 % Processed clauses : 244
% 2.14/2.34 % Factors computed : 10
% 2.14/2.34 % Resolvents computed: 4938
% 2.14/2.34 % Tautologies deleted: 2
% 2.14/2.34 % Forward subsumed : 838
% 2.14/2.34 % Backward subsumed : 34
% 2.14/2.34 % -------- CPU Time ---------
% 2.14/2.34 % User time : 1.980 s
% 2.14/2.34 % System time : 0.018 s
% 2.14/2.34 % Total time : 1.998 s
%------------------------------------------------------------------------------