TSTP Solution File: HEN003-4 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : HEN003-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n023.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 : 600s
% DateTime : Sat Jul 16 13:01:05 EDT 2022
% Result : Unsatisfiable 3.42s 3.62s
% Output : Refutation 3.42s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_x_divide_x_is_zero,negated_conjecture,
divide(a,a) != zero,
input ).
cnf(zero_divide_anything_is_zero,axiom,
divide(zero,X13) = zero,
input ).
cnf(transitivity,axiom,
( X38 != X40
| X40 != X39
| X38 = X39 ),
eq_axiom ).
cnf(c27,plain,
( X76 != divide(zero,X75)
| X76 = zero ),
inference(resolution,status(thm),[transitivity,zero_divide_anything_is_zero]) ).
cnf(less_equal_and_equal,axiom,
( ~ less_equal(X33,X34)
| ~ less_equal(X34,X33)
| X33 = X34 ),
input ).
cnf(symmetry,axiom,
( X7 != X8
| X8 = X7 ),
eq_axiom ).
cnf(c7,plain,
zero = divide(zero,X21),
inference(resolution,status(thm),[zero_divide_anything_is_zero,symmetry]) ).
cnf(reflexivity,axiom,
X2 = X2,
eq_axiom ).
cnf(zero_is_smallest,axiom,
less_equal(zero,X3),
input ).
cnf(c1,plain,
( X64 != X66
| X65 != X67
| ~ less_equal(X64,X65)
| less_equal(X66,X67) ),
eq_axiom ).
cnf(c57,plain,
( zero != X124
| X122 != X123
| less_equal(X124,X123) ),
inference(resolution,status(thm),[c1,zero_is_smallest]) ).
cnf(c99,plain,
( zero != X126
| less_equal(X126,X125) ),
inference(resolution,status(thm),[c57,reflexivity]) ).
cnf(c114,plain,
less_equal(divide(zero,X132),X131),
inference(resolution,status(thm),[c99,c7]) ).
cnf(c125,plain,
( ~ less_equal(X513,divide(zero,X512))
| X513 = divide(zero,X512) ),
inference(resolution,status(thm),[c114,less_equal_and_equal]) ).
cnf(quotient_less_equal2,axiom,
( divide(X16,X17) != zero
| less_equal(X16,X17) ),
input ).
cnf(c19,plain,
( ~ less_equal(X36,zero)
| X36 = zero ),
inference(resolution,status(thm),[less_equal_and_equal,zero_is_smallest]) ).
cnf(quotient_smaller_than_numerator,axiom,
less_equal(divide(X5,X6),X5),
input ).
cnf(quotient_less_equal1,axiom,
( ~ less_equal(X9,X10)
| divide(X9,X10) = zero ),
input ).
cnf(c3,plain,
divide(divide(X28,X27),X28) = zero,
inference(resolution,status(thm),[quotient_less_equal1,quotient_smaller_than_numerator]) ).
cnf(c13,plain,
zero = divide(divide(X31,X32),X31),
inference(resolution,status(thm),[c3,symmetry]) ).
cnf(c113,plain,
less_equal(divide(divide(X151,X150),X151),X152),
inference(resolution,status(thm),[c99,c13]) ).
cnf(c161,plain,
( divide(divide(X865,X864),X865) != X867
| X868 != X866
| less_equal(X867,X866) ),
inference(resolution,status(thm),[c113,c1]) ).
cnf(quotient_property,axiom,
less_equal(divide(divide(X23,X25),divide(X24,X25)),divide(divide(X23,X24),X25)),
input ).
cnf(c17,plain,
( ~ less_equal(divide(divide(X92,X91),X90),divide(divide(X92,X90),divide(X91,X90)))
| divide(divide(X92,X91),X90) = divide(divide(X92,X90),divide(X91,X90)) ),
inference(resolution,status(thm),[less_equal_and_equal,quotient_property]) ).
cnf(c165,plain,
divide(divide(X910,X911),X910) = divide(divide(X910,X910),divide(X911,X910)),
inference(resolution,status(thm),[c113,c17]) ).
cnf(c1757,plain,
( X3234 != X3235
| less_equal(divide(divide(X3237,X3237),divide(X3236,X3237)),X3235) ),
inference(resolution,status(thm),[c165,c161]) ).
cnf(c6452,plain,
less_equal(divide(divide(X3239,X3239),divide(X3240,X3239)),X3238),
inference(resolution,status(thm),[c1757,reflexivity]) ).
cnf(c6599,plain,
divide(divide(X3282,X3282),divide(X3281,X3282)) = zero,
inference(resolution,status(thm),[c6452,c19]) ).
cnf(c6739,plain,
less_equal(divide(X3291,X3291),divide(X3292,X3291)),
inference(resolution,status(thm),[c6599,quotient_less_equal2]) ).
cnf(c6798,plain,
divide(X3297,X3297) = divide(zero,X3297),
inference(resolution,status(thm),[c6739,c125]) ).
cnf(c6862,plain,
divide(X3298,X3298) = zero,
inference(resolution,status(thm),[c6798,c27]) ).
cnf(c6897,plain,
$false,
inference(resolution,status(thm),[c6862,prove_x_divide_x_is_zero]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : HEN003-4 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.31 % Computer : n023.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 600
% 0.12/0.31 % DateTime : Fri Jul 1 13:24:58 EDT 2022
% 0.12/0.31 % CPUTime :
% 3.42/3.62 # Version: 1.3
% 3.42/3.62 # SZS status Unsatisfiable
% 3.42/3.62 # SZS output start CNFRefutation
% See solution above
% 3.42/3.62
% 3.42/3.62 # Initial clauses : 15
% 3.42/3.62 # Processed clauses : 288
% 3.42/3.62 # Factors computed : 5
% 3.42/3.62 # Resolvents computed: 6903
% 3.42/3.62 # Tautologies deleted: 1
% 3.42/3.62 # Forward subsumed : 1219
% 3.42/3.62 # Backward subsumed : 26
% 3.42/3.62 # -------- CPU Time ---------
% 3.42/3.62 # User time : 3.286 s
% 3.42/3.62 # System time : 0.017 s
% 3.42/3.62 # Total time : 3.303 s
%------------------------------------------------------------------------------