TSTP Solution File: HEN003-4 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : HEN003-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 2.24s 2.46s
% Output : Refutation 2.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% 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/sandbox/benchmark/theBenchmark.p',prove_x_divide_x_is_zero) ).
cnf(zero_divide_anything_is_zero,axiom,
divide(zero,X13) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
cnf(transitivity,axiom,
( X39 != X38
| X38 != X40
| X39 = X40 ),
theory(equality) ).
cnf(c28,plain,
( X55 != divide(zero,X54)
| X55 = zero ),
inference(resolution,[status(thm)],[transitivity,zero_divide_anything_is_zero]) ).
cnf(less_equal_and_equal,axiom,
( ~ less_equal(X34,X33)
| ~ less_equal(X33,X34)
| X34 = X33 ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',less_equal_and_equal) ).
cnf(symmetry,axiom,
( X8 != X7
| X7 = X8 ),
theory(equality) ).
cnf(c7,plain,
zero = divide(zero,X21),
inference(resolution,[status(thm)],[zero_divide_anything_is_zero,symmetry]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(zero_is_smallest,axiom,
less_equal(zero,X3),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',zero_is_smallest) ).
cnf(c1,axiom,
( X59 != X56
| X58 != X57
| ~ less_equal(X59,X58)
| less_equal(X56,X57) ),
theory(equality) ).
cnf(c49,plain,
( zero != X124
| X126 != X125
| less_equal(X124,X125) ),
inference(resolution,[status(thm)],[c1,zero_is_smallest]) ).
cnf(c133,plain,
( zero != X128
| less_equal(X128,X129) ),
inference(resolution,[status(thm)],[c49,reflexivity]) ).
cnf(c143,plain,
less_equal(divide(zero,X137),X138),
inference(resolution,[status(thm)],[c133,c7]) ).
cnf(c163,plain,
( ~ less_equal(X950,divide(zero,X949))
| X950 = divide(zero,X949) ),
inference(resolution,[status(thm)],[c143,less_equal_and_equal]) ).
cnf(quotient_less_equal2,axiom,
( divide(X17,X16) != zero
| less_equal(X17,X16) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).
cnf(c19,plain,
( ~ less_equal(X37,zero)
| X37 = 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/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_smaller_than_numerator) ).
cnf(quotient_less_equal1,axiom,
( ~ less_equal(X10,X9)
| divide(X10,X9) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal1) ).
cnf(c3,plain,
divide(divide(X28,X27),X28) = zero,
inference(resolution,[status(thm)],[quotient_less_equal1,quotient_smaller_than_numerator]) ).
cnf(quotient_property,axiom,
less_equal(divide(divide(X24,X25),divide(X23,X25)),divide(divide(X24,X23),X25)),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_property) ).
cnf(c50,plain,
( divide(divide(X213,X217),divide(X216,X217)) != X214
| divide(divide(X213,X216),X217) != X215
| less_equal(X214,X215) ),
inference(resolution,[status(thm)],[c1,quotient_property]) ).
cnf(c333,plain,
( divide(divide(X2230,X2229),X2231) != X2228
| less_equal(divide(divide(X2230,X2231),divide(X2229,X2231)),X2228) ),
inference(resolution,[status(thm)],[c50,reflexivity]) ).
cnf(c4765,plain,
less_equal(divide(divide(X2233,X2233),divide(X2232,X2233)),zero),
inference(resolution,[status(thm)],[c333,c3]) ).
cnf(c4771,plain,
divide(divide(X2234,X2234),divide(X2235,X2234)) = zero,
inference(resolution,[status(thm)],[c4765,c19]) ).
cnf(c4786,plain,
less_equal(divide(X2244,X2244),divide(X2245,X2244)),
inference(resolution,[status(thm)],[c4771,quotient_less_equal2]) ).
cnf(c4808,plain,
divide(X2246,X2246) = divide(zero,X2246),
inference(resolution,[status(thm)],[c4786,c163]) ).
cnf(c4825,plain,
divide(X2247,X2247) = zero,
inference(resolution,[status(thm)],[c4808,c28]) ).
cnf(c4891,plain,
$false,
inference(resolution,[status(thm)],[c4825,prove_x_divide_x_is_zero]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : HEN003-4 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 13:49:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 2.24/2.46 % Version: 1.5
% 2.24/2.46 % SZS status Unsatisfiable
% 2.24/2.46 % SZS output start CNFRefutation
% See solution above
% 2.24/2.46
% 2.24/2.46 % Initial clauses : 15
% 2.24/2.46 % Processed clauses : 239
% 2.24/2.46 % Factors computed : 10
% 2.24/2.46 % Resolvents computed: 4880
% 2.24/2.46 % Tautologies deleted: 2
% 2.24/2.46 % Forward subsumed : 867
% 2.24/2.46 % Backward subsumed : 22
% 2.24/2.46 % -------- CPU Time ---------
% 2.24/2.46 % User time : 2.086 s
% 2.24/2.46 % System time : 0.025 s
% 2.24/2.46 % Total time : 2.111 s
%------------------------------------------------------------------------------