TSTP Solution File: HEN003-1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : HEN003-1 : 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 : n014.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 12:56:35 EDT 2022
% Result : Unsatisfiable 261.13s 33.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : HEN003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 1 13:50:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 261.13/33.41 % SZS status Unsatisfiable
% 261.13/33.41 % SZS output begin IncompleteProof
% 261.13/33.41 cnf(c0, axiom,
% 261.13/33.41 ~quotient(x,x,zero)).
% 261.13/33.41 cnf(c1, plain,
% 261.13/33.41 ~quotient(x,x,zero),
% 261.13/33.41 inference(start, [], [c0])).
% 261.13/33.41
% 261.13/33.41 cnf(c2, axiom,
% 261.13/33.41 quotient(X0,X1,divide(X0,X1))).
% 261.13/33.41 cnf(a0, assumption,
% 261.13/33.41 X2 = x).
% 261.13/33.41 cnf(a1, assumption,
% 261.13/33.41 X3 = x).
% 261.13/33.41 cnf(a2, assumption,
% 261.13/33.41 X4 = zero).
% 261.13/33.41 cnf(c3, plain,
% 261.13/33.41 $false,
% 261.13/33.41 inference(lazy_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 261.13/33.41 cnf(c4, plain,
% 261.13/33.41 $false,
% 261.13/33.41 inference(lazy_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 261.13/33.41 cnf(c5, plain,
% 261.13/33.41 X0 != X2 | X1 != X3 | divide(X0,X1) != X4,
% 261.13/33.41 inference(lazy_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 261.13/33.41
% 261.13/33.41 cnf(a3, assumption,
% 261.13/33.41 X0 = X2).
% 261.13/33.41 cnf(c6, plain,
% 261.13/33.41 X1 != X3 | divide(X0,X1) != X4,
% 261.13/33.41 inference(reflexivity, [assumptions([a3])], [c5])).
% 261.13/33.41
% 261.13/33.41 cnf(a4, assumption,
% 261.13/33.41 X1 = X3).
% 261.13/33.41 cnf(c7, plain,
% 261.13/33.41 divide(X0,X1) != X4,
% 261.13/33.41 inference(reflexivity, [assumptions([a4])], [c6])).
% 261.13/33.41
% 261.13/33.41 cnf(c8, axiom,
% 261.13/33.41 X5 = X6 | ~less_equal(X6,X5) | ~less_equal(X5,X6)).
% 261.13/33.41 cnf(a5, assumption,
% 261.13/33.41 divide(X0,X1) = X5).
% 261.13/33.41 cnf(c9, plain,
% 261.13/33.41 $false,
% 261.13/33.41 inference(variable_extension, [assumptions([a5])], [c7, c8])).
% 261.13/33.41 cnf(c10, plain,
% 261.13/33.41 ~less_equal(X6,X5) | ~less_equal(X5,X6),
% 261.13/33.41 inference(variable_extension, [assumptions([a5])], [c7, c8])).
% 261.13/33.41 cnf(c11, plain,
% 261.13/33.41 X6 != X7 | X7 != X4,
% 261.13/33.41 inference(variable_extension, [assumptions([a5])], [c7, c8])).
% 261.13/33.41
% 261.13/33.41 cnf(a6, assumption,
% 261.13/33.41 X6 = X7).
% 261.13/33.41 cnf(c12, plain,
% 261.13/33.41 X7 != X4,
% 261.13/33.41 inference(reflexivity, [assumptions([a6])], [c11])).
% 261.13/33.41
% 261.13/33.41 cnf(a7, assumption,
% 261.13/33.41 X7 = X4).
% 261.13/33.41 cnf(c13, plain,
% 261.13/33.41 $false,
% 261.13/33.41 inference(reflexivity, [assumptions([a7])], [c12])).
% 261.13/33.41
% 261.13/33.41 cnf(c14, axiom,
% 261.13/33.41 less_equal(zero,X8)).
% 261.13/33.41 cnf(a8, assumption,
% 261.13/33.41 X6 = zero).
% 261.13/33.41 cnf(a9, assumption,
% 261.13/33.41 X5 = X8).
% 261.13/33.41 cnf(c15, plain,
% 261.13/33.41 ~less_equal(X5,X6),
% 261.13/33.41 inference(strict_predicate_extension, [assumptions([a8, a9])], [c10, c14])).
% 261.13/33.41 cnf(c16, plain,
% 261.13/33.41 $false,
% 261.13/33.41 inference(strict_predicate_extension, [assumptions([a8, a9])], [c10, c14])).
% 261.13/33.41
% 261.13/33.41 cnf(c17, axiom,
% 261.13/33.41 less_equal(X9,X10) | ~quotient(X9,X10,zero)).
% 261.13/33.41 cnf(a10, assumption,
% 261.13/33.41 X5 = X9).
% 261.13/33.41 cnf(a11, assumption,
% 261.13/33.41 X6 = X10).
% 261.13/33.41 cnf(c18, plain,
% 261.13/33.41 $false,
% 261.13/33.41 inference(strict_predicate_extension, [assumptions([a10, a11])], [c15, c17])).
% 261.13/33.41 cnf(c19, plain,
% 261.13/33.41 ~quotient(X9,X10,zero),
% 261.13/33.41 inference(strict_predicate_extension, [assumptions([a10, a11])], [c15, c17])).
% 261.13/33.41
% 261.13/33.41 cnf(c20, axiom,
% 261.13/33.41 quotient(X11,X12,divide(X11,X12))).
% 261.13/33.41 cnf(a12, assumption,
% 261.13/33.41 X13 = X9).
% 261.13/33.41 cnf(a13, assumption,
% 261.13/33.41 X14 = X10).
% 261.13/33.41 cnf(a14, assumption,
% 261.13/33.41 X15 = zero).
% 261.13/33.41 cnf(c21, plain,
% 261.13/33.41 $false,
% 261.13/33.41 inference(lazy_predicate_extension, [assumptions([a12, a13, a14])], [c19, c20])).
% 261.13/33.41 cnf(c22, plain,
% 261.13/33.41 $false,
% 261.13/33.41 inference(lazy_predicate_extension, [assumptions([a12, a13, a14])], [c19, c20])).
% 261.13/33.41 cnf(c23, plain,
% 261.13/33.41 X11 != X13 | X12 != X14 | divide(X11,X12) != X15,
% 261.13/33.41 inference(lazy_predicate_extension, [assumptions([a12, a13, a14])], [c19, c20])).
% 261.13/33.41
% 261.13/33.41 cnf(a15, assumption,
% 261.13/33.41 X11 = X13).
% 261.13/33.41 cnf(c24, plain,
% 261.13/33.41 X12 != X14 | divide(X11,X12) != X15,
% 261.13/33.41 inference(reflexivity, [assumptions([a15])], [c23])).
% 261.13/33.41
% 261.13/33.41 cnf(a16, assumption,
% 261.13/33.41 X12 = X14).
% 261.13/33.41 cnf(c25, plain,
% 261.13/33.41 divide(X11,X12) != X15,
% 261.13/33.41 inference(reflexivity, [assumptions([a16])], [c24])).
% 261.13/33.41
% 261.13/33.41 cnf(c26, axiom,
% 261.13/33.41 X16 = X17 | ~less_equal(X17,X16) | ~less_equal(X16,X17)).
% 261.13/33.41 cnf(a17, assumption,
% 261.13/33.41 divide(X11,X12) = X16).
% 261.13/33.41 cnf(c27, plain,
% 261.13/33.41 $false,
% 261.13/33.41 inference(variable_extension, [assumptions([a17])], [c25, c26])).
% 261.13/33.41 cnf(c28, plain,
% 261.13/33.41 ~less_equal(X17,X16) | ~less_equal(X16,X17),
% 261.13/33.41 inference(variable_extension, [assumptions([a17])], [c25, c26])).
% 261.13/33.41 cnf(c29, plain,
% 261.13/33.41 X17 != X18 | X18 != X15,
% 261.13/33.41 inference(variable_extension, [assumptions([a17])], [c25, c26])).
% 261.13/33.41
% 261.13/33.41 cnf(a18, assumption,
% 261.13/33.41 X17 = X18).
% 261.13/33.41 cnf(c30, plain,
% 261.13/33.41 X18 != X15,
% 261.13/33.41 inference(reflexivity, [assumptions([a18])], [c29])).
% 261.13/33.41
% 261.13/33.41 cnf(a19, assumption,
% 261.13/33.41 X18 = X15).
% 261.13/33.41 cnf(c31, plain,
% 261.13/33.41 $false,
% 261.13/33.41 inference(reflexivity, [assumptions([a19])], [c30])).
% 261.13/33.41
% 261.13/33.41 cnf(c32, axiom,
% 261.13/33.41 less_equal(zero,X19)).
% 261.13/33.41 cnf(a20, assumption,
% 261.13/33.41 X17 = zero).
% 261.13/33.41 cnf(a21, assumption,
% 261.13/33.41 X16 = X19).
% 261.13/33.41 cnf(c33, plain,
% 261.13/33.41 ~less_equal(X16,X17),
% 261.13/33.41 inference(strict_predicate_extension, [assumptions([a20, a21])], [c28, c32])).
% 261.13/33.41 cnf(c34, plain,
% 261.13/33.41 $false,
% 261.13/33.41 inference(strict_predicate_extension, [assumptions([a20, a21])], [c28, c32])).
% 261.13/33.41
% 261.13/33.41 cnf(c35, axiom,
% 261.13/33.41 less_equal(X20,X21) | ~quotient(X22,X23,X21) | ~quotient(X24,X25,X20) | ~quotient(X26,X23,X24) | ~quotient(X27,X23,X25) | ~quotient(X26,X27,X22)).
% 261.13/33.41 cnf(a22, assumption,
% 261.13/33.41 X16 = X20).
% 261.13/33.41 cnf(a23, assumption,
% 261.13/33.41 X17 = X21).
% 261.13/33.41 cnf(c36, plain,
% 261.13/33.41 $false,
% 261.13/33.41 inference(strict_predicate_extension, [assumptions([a22, a23])], [c33, c35])).
% 261.13/33.41 cnf(c37, plain,
% 261.13/33.41 ~quotient(X22,X23,X21) | ~quotient(X24,X25,X20) | ~quotient(X26,X23,X24) | ~quotient(X27,X23,X25) | ~quotient(X26,X27,X22),
% 261.13/33.41 inference(strict_predicate_extension, [assumptions([a22, a23])], [c33, c35])).
% 261.13/33.41
% 261.13/33.41 cnf(c38, axiom,
% 261.13/33.41 quotient(X28,X29,zero) | ~less_equal(X28,X29)).
% 261.13/33.41 cnf(a24, assumption,
% 261.13/33.41 X22 = X28).
% 261.13/33.41 cnf(a25, assumption,
% 261.13/33.41 X23 = X29).
% 261.13/33.41 cnf(a26, assumption,
% 261.13/33.41 X21 = zero).
% 261.13/33.41 cnf(c39, plain,
% 261.13/33.41 ~quotient(X24,X25,X20) | ~quotient(X26,X23,X24) | ~quotient(X27,X23,X25) | ~quotient(X26,X27,X22),
% 261.13/33.41 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c37, c38])).
% 261.13/33.41 cnf(c40, plain,
% 261.13/33.41 ~less_equal(X28,X29),
% 261.13/33.41 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c37, c38])).
% 261.13/33.41
% 261.13/33.41 cnf(c41, axiom,
% 261.13/33.41 less_equal(X30,X31) | ~quotient(X31,X32,X30)).
% 261.13/33.41 cnf(a27, assumption,
% 261.13/33.41 X28 = X30).
% 261.13/33.41 cnf(a28, assumption,
% 261.13/33.41 X29 = X31).
% 261.13/33.41 cnf(c42, plain,
% 261.13/33.41 $false,
% 261.13/33.41 inference(strict_predicate_extension, [assumptions([a27, a28])], [c40, c41])).
% 261.13/33.41 cnf(c43, plain,
% 261.13/33.41 ~quotient(X31,X32,X30),
% 261.13/33.41 inference(strict_predicate_extension, [assumptions([a27, a28])], [c40, c41])).
% 261.13/33.41
% 261.13/33.41 cnf(c44, axiom,
% 261.13/33.41 quotient(X33,X34,divide(X33,X34))).
% 261.13/33.41 cnf(a29, assumption,
% 261.13/33.41 X31 = X33).
% 261.13/33.41 cnf(a30, assumption,
% 261.13/33.41 X32 = X34).
% 261.13/33.41 cnf(a31, assumption,
% 261.13/33.41 X30 = divide(X33,X34)).
% 261.13/33.41 cnf(c45, plain,
% 261.13/33.41 $false,
% 261.13/33.41 inference(strict_predicate_extension, [assumptions([a29, a30, a31])], [c43, c44])).
% 261.13/33.41 cnf(c46, plain,
% 261.13/33.41 $false,
% 261.13/33.41 inference(strict_predicate_extension, [assumptions([a29, a30, a31])], [c43, c44])).
% 261.13/33.41
% 261.13/33.41 cnf(c47, plain,
% 261.13/33.41 quotient(X11,X12,divide(X11,X12))).
% 261.13/33.41 cnf(a32, assumption,
% 261.13/33.41 X24 = X11).
% 261.13/33.41 cnf(a33, assumption,
% 261.13/33.41 X25 = X12).
% 261.13/33.41 cnf(a34, assumption,
% 261.13/33.41 X20 = divide(X11,X12)).
% 261.13/33.41 cnf(c48, plain,
% 261.13/33.41 ~quotient(X26,X23,X24) | ~quotient(X27,X23,X25) | ~quotient(X26,X27,X22),
% 261.13/33.41 inference(predicate_reduction, [assumptions([a32, a33, a34])], [c39, c47])).
% 261.13/33.41
% 261.13/33.41 cnf(c49, plain,
% 261.13/33.41 quotient(X0,X1,divide(X0,X1))).
% 261.13/33.41 cnf(a35, assumption,
% 261.13/33.41 X26 = X0).
% 261.13/33.41 cnf(a36, assumption,
% 261.13/33.41 X23 = X1).
% 261.13/33.41 cnf(a37, assumption,
% 261.13/33.41 X24 = divide(X0,X1)).
% 261.13/33.41 cnf(c50, plain,
% 261.13/33.41 ~quotient(X27,X23,X25) | ~quotient(X26,X27,X22),
% 261.13/33.41 inference(predicate_reduction, [assumptions([a35, a36, a37])], [c48, c49])).
% 261.13/33.41
% 261.13/33.41 cnf(c51, axiom,
% 261.13/33.41 quotient(X35,X36,zero) | ~less_equal(X35,X36)).
% 261.13/33.41 cnf(a38, assumption,
% 261.13/33.41 X27 = X35).
% 261.13/33.41 cnf(a39, assumption,
% 261.13/33.41 X23 = X36).
% 261.13/33.41 cnf(a40, assumption,
% 261.13/33.41 X25 = zero).
% 261.13/33.41 cnf(c52, plain,
% 261.13/33.41 ~quotient(X26,X27,X22),
% 261.13/33.41 inference(strict_predicate_extension, [assumptions([a38, a39, a40])], [c50, c51])).
% 261.13/33.41 cnf(c53, plain,
% 261.13/33.41 ~less_equal(X35,X36),
% 261.13/33.41 inference(strict_predicate_extension, [assumptions([a38, a39, a40])], [c50, c51])).
% 261.13/33.41
% 261.13/33.41 cnf(c54, axiom,
% 261.13/33.41 less_equal(zero,X37)).
% 261.13/33.41 cnf(a41, assumption,
% 261.13/33.41 X35 = zero).
% 261.13/33.41 cnf(a42, assumption,
% 261.13/33.41 X36 = X37).
% 261.13/33.41 cnf(c55, plain,
% 261.13/33.41 $false,
% 261.13/33.41 inference(strict_predicate_extension, [assumptions([a41, a42])], [c53, c54])).
% 261.13/33.41 cnf(c56, plain,
% 261.13/33.41 $false,
% 261.13/33.41 inference(strict_predicate_extension, [assumptions([a41, a42])], [c53, c54])).
% 261.13/33.41
% 261.13/33.41 cnf(c57, plain,
% 261.13/33.41 quotient(X31,X32,X30)).
% 261.13/33.41 cnf(a43, assumption,
% 261.13/33.41 X26 = X31).
% 261.13/33.41 cnf(a44, assumption,
% 261.13/33.41 X27 = X32).
% 261.13/33.41 cnf(a45, assumption,
% 261.13/33.41 X22 = X30).
% 261.13/33.41 cnf(c58, plain,
% 261.13/33.41 $false,
% 261.13/33.41 inference(predicate_reduction, [assumptions([a43, a44, a45])], [c52, c57])).
% 261.13/33.41
% 261.13/33.41 cnf(c59, plain,
% 261.13/33.41 $false,
% 261.13/33.41 inference(constraint_solving, [
% 261.13/33.41 bind(X0, x),
% 261.13/33.41 bind(X1, x),
% 261.13/33.41 bind(X2, x),
% 261.13/33.41 bind(X3, x),
% 261.13/33.41 bind(X4, zero),
% 261.13/33.41 bind(X5, divide(X0,X1)),
% 261.13/33.41 bind(X6, zero),
% 261.13/33.41 bind(X7, zero),
% 261.13/33.41 bind(X8, divide(X0,X1)),
% 261.13/33.41 bind(X9, divide(X0,X1)),
% 261.13/33.41 bind(X10, zero),
% 261.13/33.41 bind(X11, divide(X0,X1)),
% 261.13/33.41 bind(X12, zero),
% 261.13/33.41 bind(X13, divide(X0,X1)),
% 261.13/33.41 bind(X14, zero),
% 261.13/33.41 bind(X15, zero),
% 261.13/33.41 bind(X16, divide(X11,X12)),
% 261.13/33.41 bind(X17, zero),
% 261.13/33.41 bind(X18, zero),
% 261.13/33.41 bind(X19, divide(X11,X12)),
% 261.13/33.41 bind(X20, divide(X11,X12)),
% 261.13/33.41 bind(X21, zero),
% 261.13/33.41 bind(X22, divide(X33,X34)),
% 261.13/33.41 bind(X23, x),
% 261.13/33.41 bind(X24, divide(X0,X1)),
% 261.13/33.41 bind(X25, zero),
% 261.13/33.41 bind(X26, x),
% 261.13/33.41 bind(X27, zero),
% 261.13/33.41 bind(X28, divide(X33,X34)),
% 261.13/33.41 bind(X29, x),
% 261.13/33.41 bind(X30, divide(X33,X34)),
% 261.13/33.41 bind(X31, x),
% 261.13/33.41 bind(X32, zero),
% 261.13/33.41 bind(X33, x),
% 261.13/33.41 bind(X34, zero),
% 261.13/33.41 bind(X35, zero),
% 261.13/33.41 bind(X36, x),
% 261.13/33.41 bind(X37, x)
% 261.13/33.41 ],
% 261.13/33.41 [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, a33, a34, a35, a36, a37, a38, a39, a40, a41, a42, a43, a44, a45])).
% 261.13/33.41
% 261.13/33.41 % SZS output end IncompleteProof
%------------------------------------------------------------------------------