%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : HEN003-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 3.40s 3.61s
% Output : Refutation 3.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 21 ( 12 unt; 0 nHn; 10 RR)
% Number of literals : 33 ( 32 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 43 ( 8 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(quotient_smaller_than_numerator,axiom,
divide(divide(X9,X8),X9) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',quotient_smaller_than_numerator) ).
cnf(transitivity,axiom,
( X23 != X21
| X21 != X22
| X23 = X22 ),
theory(equality) ).
cnf(c15,plain,
( X67 != divide(divide(X68,X66),X68)
| X67 = zero ),
inference(resolution,[status(thm)],[transitivity,quotient_smaller_than_numerator]) ).
cnf(divide_and_equal,axiom,
( divide(X28,X27) != zero
| divide(X27,X28) != zero
| X28 = X27 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',divide_and_equal) ).
cnf(c20,plain,
( divide(X93,divide(X93,X92)) != zero
| X93 = divide(X93,X92) ),
inference(resolution,[status(thm)],[divide_and_equal,quotient_smaller_than_numerator]) ).
cnf(zero_is_smallest,axiom,
divide(zero,X6) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',zero_is_smallest) ).
cnf(c21,plain,
( divide(X90,zero) != zero
| X90 = zero ),
inference(resolution,[status(thm)],[divide_and_equal,zero_is_smallest]) ).
cnf(quotient_property,axiom,
divide(divide(divide(X16,X15),divide(X14,X15)),divide(divide(X16,X14),X15)) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',quotient_property) ).
cnf(c17,plain,
( X79 != divide(divide(divide(X81,X78),divide(X80,X78)),divide(divide(X81,X80),X78))
| X79 = zero ),
inference(resolution,[status(thm)],[transitivity,quotient_property]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(symmetry,axiom,
( X4 != X3
| X3 = X4 ),
theory(equality) ).
cnf(c4,plain,
zero = divide(divide(X18,X17),X18),
inference(resolution,[status(thm)],[quotient_smaller_than_numerator,symmetry]) ).
cnf(c0,axiom,
( X37 != X39
| X38 != X40
| divide(X37,X38) = divide(X39,X40) ),
theory(equality) ).
cnf(c33,plain,
( X152 != X150
| divide(X152,zero) = divide(X150,divide(divide(X151,X153),X151)) ),
inference(resolution,[status(thm)],[c0,c4]) ).
cnf(c166,plain,
divide(X948,zero) = divide(X948,divide(divide(X947,X949),X947)),
inference(resolution,[status(thm)],[c33,reflexivity]) ).
cnf(c2025,plain,
divide(divide(divide(X2619,X2619),divide(X2618,X2619)),zero) = zero,
inference(resolution,[status(thm)],[c166,c17]) ).
cnf(c5800,plain,
divide(divide(X2621,X2621),divide(X2620,X2621)) = zero,
inference(resolution,[status(thm)],[c2025,c21]) ).
cnf(c5856,plain,
divide(X2627,X2627) = divide(divide(X2627,X2627),X2627),
inference(resolution,[status(thm)],[c5800,c20]) ).
cnf(c5867,plain,
divide(X2628,X2628) = zero,
inference(resolution,[status(thm)],[c5856,c15]) ).
cnf(c5910,plain,
$false,
inference(resolution,[status(thm)],[c5867,prove_x_divide_x_is_zero]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14 % Problem : HEN003-5 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.37 % Computer : n029.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Wed May 8 13:53:38 EDT 2024
% 0.15/0.37 % CPUTime :
% 3.40/3.61 % Version: 1.5
% 3.40/3.61 % SZS status Unsatisfiable
% 3.40/3.61 % SZS output start CNFRefutation
% See solution above
% 3.40/3.61
% 3.40/3.61 % Initial clauses : 10
% 3.40/3.61 % Processed clauses : 243
% 3.40/3.61 % Factors computed : 3
% 3.40/3.61 % Resolvents computed: 5928
% 3.40/3.61 % Tautologies deleted: 2
% 3.40/3.61 % Forward subsumed : 963
% 3.40/3.61 % Backward subsumed : 45
% 3.40/3.61 % -------- CPU Time ---------
% 3.40/3.61 % User time : 3.190 s
% 3.40/3.61 % System time : 0.031 s
% 3.40/3.61 % Total time : 3.221 s
%------------------------------------------------------------------------------