TSTP Solution File: HEN008-3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : HEN008-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 13:01:13 EDT 2022
% Result : Timeout 286.48s 286.79s
% Output : None
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_a_divide_c_LE_b_divide_c,negated_conjecture,
~ less_equal(divide(a,c),divide(b,c)),
input ).
cnf(quotient_less_equal2,axiom,
( divide(X16,X15) != zero
| less_equal(X16,X15) ),
input ).
cnf(zero_is_smallest,axiom,
less_equal(zero,X3),
input ).
cnf(less_equal_and_equal,axiom,
( ~ less_equal(X28,X27)
| ~ less_equal(X27,X28)
| X28 = X27 ),
input ).
cnf(c19,plain,
( ~ less_equal(X31,zero)
| X31 = zero ),
inference(resolution,status(thm),[less_equal_and_equal,zero_is_smallest]) ).
cnf(quotient_less_equal1,axiom,
( ~ less_equal(X8,X7)
| divide(X8,X7) = zero ),
input ).
cnf(symmetry,axiom,
( X10 != X9
| X9 = X10 ),
eq_axiom ).
cnf(a_LE_b,plain,
less_equal(a,b),
input ).
cnf(c3,plain,
divide(a,b) = zero,
inference(resolution,status(thm),[quotient_less_equal1,a_LE_b]) ).
cnf(c14,plain,
zero = divide(a,b),
inference(resolution,status(thm),[c3,symmetry]) ).
cnf(reflexivity,axiom,
X2 = X2,
eq_axiom ).
cnf(c1,plain,
( X56 != X54
| X57 != X55
| ~ less_equal(X56,X57)
| less_equal(X54,X55) ),
eq_axiom ).
cnf(c57,plain,
( zero != X111
| X113 != X112
| less_equal(X111,X112) ),
inference(resolution,status(thm),[c1,zero_is_smallest]) ).
cnf(c124,plain,
( zero != X118
| less_equal(X118,X117) ),
inference(resolution,status(thm),[c57,reflexivity]) ).
cnf(c153,plain,
less_equal(divide(a,b),X124),
inference(resolution,status(thm),[c124,c14]) ).
cnf(c170,plain,
divide(divide(a,b),X264) = zero,
inference(resolution,status(thm),[c153,quotient_less_equal1]) ).
cnf(quotient_property,axiom,
less_equal(divide(divide(X24,X22),divide(X23,X22)),divide(divide(X24,X23),X22)),
input ).
cnf(c59,plain,
( divide(divide(X275,X274),divide(X272,X274)) != X273
| divide(divide(X275,X272),X274) != X271
| less_equal(X273,X271) ),
inference(resolution,status(thm),[c1,quotient_property]) ).
cnf(c523,plain,
( divide(divide(X3881,X3882),X3884) != X3883
| less_equal(divide(divide(X3881,X3884),divide(X3882,X3884)),X3883) ),
inference(resolution,status(thm),[c59,reflexivity]) ).
cnf(c11784,plain,
less_equal(divide(divide(a,X13072),divide(b,X13072)),zero),
inference(resolution,status(thm),[c523,c170]) ).
cnf(c76233,plain,
divide(divide(a,X22091),divide(b,X22091)) = zero,
inference(resolution,status(thm),[c11784,c19]) ).
cnf(c168221,plain,
less_equal(divide(a,X22096),divide(b,X22096)),
inference(resolution,status(thm),[c76233,quotient_less_equal2]) ).
cnf(c168277,plain,
$false,
inference(resolution,status(thm),[c168221,prove_a_divide_c_LE_b_divide_c]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : HEN008-3 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 1 13:06:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 286.48/286.79 # Version: 1.3
% 286.48/286.79 # SZS status Unsatisfiable
% 286.48/286.79 # SZS output start CNFRefutation
% See solution above
% 286.48/286.79
% 286.48/286.79 # Initial clauses : 14
% 286.48/286.79 # Processed clauses : 1737
% 286.48/286.79 # Factors computed : 9
% 286.48/286.79 # Resolvents computed: 168269
% 286.48/286.79 # Tautologies deleted: 1
% 286.48/286.79 # Forward subsumed : 9393
% 286.48/286.79 # Backward subsumed : 290
% 286.48/286.79 # -------- CPU Time ---------
% 286.48/286.79 # User time : 286.037 s
% 286.48/286.79 # System time : 0.330 s
% 286.48/286.79 # Total time : 286.367 s
%------------------------------------------------------------------------------