TSTP Solution File: HEN008-1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : HEN008-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n027.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 12:56:44 EDT 2022
% Result : Unsatisfiable 0.19s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : HEN008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33 % Computer : n027.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 15:09:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.57 % SZS status Unsatisfiable
% 0.19/0.57 % SZS output begin IncompleteProof
% 0.19/0.57 cnf(c0, axiom,
% 0.19/0.57 ~less_equal(aQc,bQc)).
% 0.19/0.57 cnf(c1, plain,
% 0.19/0.57 ~less_equal(aQc,bQc),
% 0.19/0.57 inference(start, [], [c0])).
% 0.19/0.57
% 0.19/0.57 cnf(c2, axiom,
% 0.19/0.57 less_equal(X0,X1) | ~quotient(X0,X1,zero)).
% 0.19/0.57 cnf(a0, assumption,
% 0.19/0.57 aQc = X0).
% 0.19/0.57 cnf(a1, assumption,
% 0.19/0.57 bQc = X1).
% 0.19/0.57 cnf(c3, plain,
% 0.19/0.57 $false,
% 0.19/0.57 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.19/0.57 cnf(c4, plain,
% 0.19/0.57 ~quotient(X0,X1,zero),
% 0.19/0.57 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.19/0.57
% 0.19/0.57 cnf(c5, axiom,
% 0.19/0.57 quotient(X2,X3,divide(X2,X3))).
% 0.19/0.57 cnf(a2, assumption,
% 0.19/0.57 X4 = X0).
% 0.19/0.57 cnf(a3, assumption,
% 0.19/0.57 X5 = X1).
% 0.19/0.57 cnf(a4, assumption,
% 0.19/0.57 X6 = zero).
% 0.19/0.57 cnf(c6, plain,
% 0.19/0.57 $false,
% 0.19/0.57 inference(lazy_predicate_extension, [assumptions([a2, a3, a4])], [c4, c5])).
% 0.19/0.57 cnf(c7, plain,
% 0.19/0.57 $false,
% 0.19/0.57 inference(lazy_predicate_extension, [assumptions([a2, a3, a4])], [c4, c5])).
% 0.19/0.57 cnf(c8, plain,
% 0.19/0.57 X2 != X4 | X3 != X5 | divide(X2,X3) != X6,
% 0.19/0.57 inference(lazy_predicate_extension, [assumptions([a2, a3, a4])], [c4, c5])).
% 0.19/0.57
% 0.19/0.57 cnf(a5, assumption,
% 0.19/0.57 X2 = X4).
% 0.19/0.57 cnf(c9, plain,
% 0.19/0.57 X3 != X5 | divide(X2,X3) != X6,
% 0.19/0.57 inference(reflexivity, [assumptions([a5])], [c8])).
% 0.19/0.57
% 0.19/0.57 cnf(a6, assumption,
% 0.19/0.57 X3 = X5).
% 0.19/0.57 cnf(c10, plain,
% 0.19/0.57 divide(X2,X3) != X6,
% 0.19/0.57 inference(reflexivity, [assumptions([a6])], [c9])).
% 0.19/0.57
% 0.19/0.57 cnf(c11, axiom,
% 0.19/0.57 X7 = X8 | ~less_equal(X8,X7) | ~less_equal(X7,X8)).
% 0.19/0.57 cnf(a7, assumption,
% 0.19/0.57 divide(X2,X3) = X8).
% 0.19/0.57 cnf(c12, plain,
% 0.19/0.57 $false,
% 0.19/0.57 inference(variable_extension, [assumptions([a7])], [c10, c11])).
% 0.19/0.57 cnf(c13, plain,
% 0.19/0.57 ~less_equal(X8,X7) | ~less_equal(X7,X8),
% 0.19/0.57 inference(variable_extension, [assumptions([a7])], [c10, c11])).
% 0.19/0.57 cnf(c14, plain,
% 0.19/0.57 X7 != X9 | X9 != X6,
% 0.19/0.57 inference(variable_extension, [assumptions([a7])], [c10, c11])).
% 0.19/0.57
% 0.19/0.57 cnf(a8, assumption,
% 0.19/0.57 X7 = X9).
% 0.19/0.57 cnf(c15, plain,
% 0.19/0.57 X9 != X6,
% 0.19/0.57 inference(reflexivity, [assumptions([a8])], [c14])).
% 0.19/0.57
% 0.19/0.57 cnf(a9, assumption,
% 0.19/0.57 X9 = X6).
% 0.19/0.57 cnf(c16, plain,
% 0.19/0.57 $false,
% 0.19/0.57 inference(reflexivity, [assumptions([a9])], [c15])).
% 0.19/0.57
% 0.19/0.57 cnf(c17, axiom,
% 0.19/0.57 less_equal(X10,X11) | ~quotient(X12,X13,X11) | ~quotient(X14,X15,X10) | ~quotient(X16,X13,X14) | ~quotient(X17,X13,X15) | ~quotient(X16,X17,X12)).
% 0.19/0.57 cnf(a10, assumption,
% 0.19/0.57 X8 = X10).
% 0.19/0.57 cnf(a11, assumption,
% 0.19/0.57 X7 = X11).
% 0.19/0.57 cnf(c18, plain,
% 0.19/0.57 ~less_equal(X7,X8),
% 0.19/0.57 inference(strict_predicate_extension, [assumptions([a10, a11])], [c13, c17])).
% 0.19/0.57 cnf(c19, plain,
% 0.19/0.57 ~quotient(X12,X13,X11) | ~quotient(X14,X15,X10) | ~quotient(X16,X13,X14) | ~quotient(X17,X13,X15) | ~quotient(X16,X17,X12),
% 0.19/0.57 inference(strict_predicate_extension, [assumptions([a10, a11])], [c13, c17])).
% 0.19/0.57
% 0.19/0.57 cnf(c20, axiom,
% 0.19/0.57 quotient(X18,X19,zero) | ~less_equal(X18,X19)).
% 0.19/0.57 cnf(a12, assumption,
% 0.19/0.57 X12 = X18).
% 0.19/0.57 cnf(a13, assumption,
% 0.19/0.57 X13 = X19).
% 0.19/0.57 cnf(a14, assumption,
% 0.19/0.57 X11 = zero).
% 0.19/0.57 cnf(c21, plain,
% 0.19/0.57 ~quotient(X14,X15,X10) | ~quotient(X16,X13,X14) | ~quotient(X17,X13,X15) | ~quotient(X16,X17,X12),
% 0.19/0.57 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c19, c20])).
% 0.19/0.57 cnf(c22, plain,
% 0.19/0.57 ~less_equal(X18,X19),
% 0.19/0.57 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c19, c20])).
% 0.19/0.57
% 0.19/0.57 cnf(c23, axiom,
% 0.19/0.57 less_equal(zero,X20)).
% 0.19/0.57 cnf(a15, assumption,
% 0.19/0.57 X18 = zero).
% 0.19/0.57 cnf(a16, assumption,
% 0.19/0.57 X19 = X20).
% 0.19/0.57 cnf(c24, plain,
% 0.19/0.57 $false,
% 0.19/0.57 inference(strict_predicate_extension, [assumptions([a15, a16])], [c22, c23])).
% 0.19/0.57 cnf(c25, plain,
% 0.19/0.57 $false,
% 0.19/0.57 inference(strict_predicate_extension, [assumptions([a15, a16])], [c22, c23])).
% 0.19/0.57
% 0.19/0.57 cnf(c26, plain,
% 0.19/0.57 quotient(X2,X3,divide(X2,X3))).
% 0.19/0.57 cnf(a17, assumption,
% 0.19/0.57 X14 = X2).
% 0.19/0.57 cnf(a18, assumption,
% 0.19/0.57 X15 = X3).
% 0.19/0.57 cnf(a19, assumption,
% 0.19/0.57 X10 = divide(X2,X3)).
% 0.19/0.57 cnf(c27, plain,
% 0.19/0.57 ~quotient(X16,X13,X14) | ~quotient(X17,X13,X15) | ~quotient(X16,X17,X12),
% 0.19/0.57 inference(predicate_reduction, [assumptions([a17, a18, a19])], [c21, c26])).
% 0.19/0.57
% 0.19/0.57 cnf(c28, axiom,
% 0.19/0.57 quotient(a,c,aQc)).
% 0.19/0.57 cnf(a20, assumption,
% 0.19/0.57 X16 = a).
% 0.19/0.57 cnf(a21, assumption,
% 0.19/0.57 X13 = c).
% 0.19/0.57 cnf(a22, assumption,
% 0.19/0.57 X14 = aQc).
% 0.19/0.57 cnf(c29, plain,
% 0.19/0.57 ~quotient(X17,X13,X15) | ~quotient(X16,X17,X12),
% 0.19/0.57 inference(strict_predicate_extension, [assumptions([a20, a21, a22])], [c27, c28])).
% 0.19/0.57 cnf(c30, plain,
% 0.19/0.57 $false,
% 0.19/0.57 inference(strict_predicate_extension, [assumptions([a20, a21, a22])], [c27, c28])).
% 0.19/0.57
% 0.19/0.57 cnf(c31, axiom,
% 0.19/0.57 quotient(b,c,bQc)).
% 0.19/0.57 cnf(a23, assumption,
% 0.19/0.57 X17 = b).
% 0.19/0.57 cnf(a24, assumption,
% 0.19/0.57 X13 = c).
% 0.19/0.57 cnf(a25, assumption,
% 0.19/0.57 X15 = bQc).
% 0.19/0.57 cnf(c32, plain,
% 0.19/0.57 ~quotient(X16,X17,X12),
% 0.19/0.57 inference(strict_predicate_extension, [assumptions([a23, a24, a25])], [c29, c31])).
% 0.19/0.57 cnf(c33, plain,
% 0.19/0.57 $false,
% 0.19/0.57 inference(strict_predicate_extension, [assumptions([a23, a24, a25])], [c29, c31])).
% 0.19/0.57
% 0.19/0.57 cnf(c34, axiom,
% 0.19/0.57 quotient(X21,X22,zero) | ~less_equal(X21,X22)).
% 0.19/0.57 cnf(a26, assumption,
% 0.19/0.57 X16 = X21).
% 0.19/0.57 cnf(a27, assumption,
% 0.19/0.57 X17 = X22).
% 0.19/0.57 cnf(a28, assumption,
% 0.19/0.57 X12 = zero).
% 0.19/0.57 cnf(c35, plain,
% 0.19/0.57 $false,
% 0.19/0.57 inference(strict_predicate_extension, [assumptions([a26, a27, a28])], [c32, c34])).
% 0.19/0.57 cnf(c36, plain,
% 0.19/0.57 ~less_equal(X21,X22),
% 0.19/0.57 inference(strict_predicate_extension, [assumptions([a26, a27, a28])], [c32, c34])).
% 0.19/0.57
% 0.19/0.57 cnf(c37, axiom,
% 0.19/0.57 less_equal(a,b)).
% 0.19/0.57 cnf(a29, assumption,
% 0.19/0.57 X21 = a).
% 0.19/0.57 cnf(a30, assumption,
% 0.19/0.57 X22 = b).
% 0.19/0.57 cnf(c38, plain,
% 0.19/0.57 $false,
% 0.19/0.57 inference(strict_predicate_extension, [assumptions([a29, a30])], [c36, c37])).
% 0.19/0.57 cnf(c39, plain,
% 0.19/0.57 $false,
% 0.19/0.57 inference(strict_predicate_extension, [assumptions([a29, a30])], [c36, c37])).
% 0.19/0.57
% 0.19/0.57 cnf(c40, axiom,
% 0.19/0.57 less_equal(zero,X23)).
% 0.19/0.57 cnf(a31, assumption,
% 0.19/0.57 X7 = zero).
% 0.19/0.57 cnf(a32, assumption,
% 0.19/0.57 X8 = X23).
% 0.19/0.57 cnf(c41, plain,
% 0.19/0.57 $false,
% 0.19/0.57 inference(strict_predicate_extension, [assumptions([a31, a32])], [c18, c40])).
% 0.19/0.57 cnf(c42, plain,
% 0.19/0.57 $false,
% 0.19/0.57 inference(strict_predicate_extension, [assumptions([a31, a32])], [c18, c40])).
% 0.19/0.57
% 0.19/0.57 cnf(c43, plain,
% 0.19/0.57 $false,
% 0.19/0.57 inference(constraint_solving, [
% 0.19/0.57 bind(X0, aQc),
% 0.19/0.57 bind(X1, bQc),
% 0.19/0.57 bind(X2, aQc),
% 0.19/0.57 bind(X3, bQc),
% 0.19/0.57 bind(X4, aQc),
% 0.19/0.57 bind(X5, bQc),
% 0.19/0.57 bind(X6, zero),
% 0.19/0.57 bind(X7, zero),
% 0.19/0.57 bind(X8, divide(X2,X3)),
% 0.19/0.57 bind(X9, zero),
% 0.19/0.57 bind(X10, divide(X2,X3)),
% 0.19/0.57 bind(X11, zero),
% 0.19/0.57 bind(X12, zero),
% 0.19/0.57 bind(X13, c),
% 0.19/0.57 bind(X14, aQc),
% 0.19/0.57 bind(X15, bQc),
% 0.19/0.57 bind(X16, a),
% 0.19/0.57 bind(X17, b),
% 0.19/0.57 bind(X18, zero),
% 0.19/0.57 bind(X19, c),
% 0.19/0.57 bind(X20, c),
% 0.19/0.57 bind(X21, a),
% 0.19/0.57 bind(X22, b),
% 0.19/0.57 bind(X23, divide(X2,X3))
% 0.19/0.57 ],
% 0.19/0.57 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25, a26, a27, a28, a29, a30, a31, a32])).
% 0.19/0.57
% 0.19/0.57 % SZS output end IncompleteProof
%------------------------------------------------------------------------------