TSTP Solution File: HEN009-2 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : HEN009-2 : 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 12:56:46 EDT 2022
% Result : Unsatisfiable 43.39s 6.06s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN009-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % 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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 1 14:37:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 43.39/6.06 % SZS status Unsatisfiable
% 43.39/6.06 % SZS output begin IncompleteProof
% 43.39/6.06 cnf(c0, axiom,
% 43.39/6.06 idQa != idQ__idQ_idQa).
% 43.39/6.06 cnf(c1, plain,
% 43.39/6.06 idQa != idQ__idQ_idQa,
% 43.39/6.06 inference(start, [], [c0])).
% 43.39/6.06
% 43.39/6.06 cnf(c2, axiom,
% 43.39/6.06 X0 = X1 | ~less_equal(X1,X0) | ~less_equal(X0,X1)).
% 43.39/6.06 cnf(a0, assumption,
% 43.39/6.06 idQ__idQ_idQa = X0).
% 43.39/6.06 cnf(c3, plain,
% 43.39/6.06 $false,
% 43.39/6.06 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 43.39/6.06 cnf(c4, plain,
% 43.39/6.06 ~less_equal(X1,X0) | ~less_equal(X0,X1),
% 43.39/6.06 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 43.39/6.06 cnf(c5, plain,
% 43.39/6.06 X1 != X2 | idQa != X2,
% 43.39/6.06 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 43.39/6.06
% 43.39/6.06 cnf(a1, assumption,
% 43.39/6.06 X1 = X2).
% 43.39/6.06 cnf(c6, plain,
% 43.39/6.06 idQa != X2,
% 43.39/6.06 inference(reflexivity, [assumptions([a1])], [c5])).
% 43.39/6.06
% 43.39/6.06 cnf(a2, assumption,
% 43.39/6.06 idQa = X2).
% 43.39/6.06 cnf(c7, plain,
% 43.39/6.06 $false,
% 43.39/6.06 inference(reflexivity, [assumptions([a2])], [c6])).
% 43.39/6.06
% 43.39/6.06 cnf(c8, axiom,
% 43.39/6.06 less_equal(X3,X4) | ~quotient(X5,X6,X4) | ~quotient(X5,X7,X3) | ~less_equal(X6,X7)).
% 43.39/6.06 cnf(a3, assumption,
% 43.39/6.06 X1 = X3).
% 43.39/6.06 cnf(a4, assumption,
% 43.39/6.06 X0 = X4).
% 43.39/6.06 cnf(c9, plain,
% 43.39/6.06 ~less_equal(X0,X1),
% 43.39/6.06 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c8])).
% 43.39/6.06 cnf(c10, plain,
% 43.39/6.06 ~quotient(X5,X6,X4) | ~quotient(X5,X7,X3) | ~less_equal(X6,X7),
% 43.39/6.06 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c8])).
% 43.39/6.06
% 43.39/6.06 cnf(c11, axiom,
% 43.39/6.06 quotient(identity,idQ_idQa,idQ__idQ_idQa)).
% 43.39/6.06 cnf(a5, assumption,
% 43.39/6.06 X5 = identity).
% 43.39/6.06 cnf(a6, assumption,
% 43.39/6.06 X6 = idQ_idQa).
% 43.39/6.06 cnf(a7, assumption,
% 43.39/6.06 X4 = idQ__idQ_idQa).
% 43.39/6.06 cnf(c12, plain,
% 43.39/6.06 ~quotient(X5,X7,X3) | ~less_equal(X6,X7),
% 43.39/6.06 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c10, c11])).
% 43.39/6.06 cnf(c13, plain,
% 43.39/6.06 $false,
% 43.39/6.06 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c10, c11])).
% 43.39/6.06
% 43.39/6.06 cnf(c14, axiom,
% 43.39/6.06 quotient(identity,a,idQa)).
% 43.39/6.06 cnf(a8, assumption,
% 43.39/6.06 X5 = identity).
% 43.39/6.06 cnf(a9, assumption,
% 43.39/6.06 X7 = a).
% 43.39/6.06 cnf(a10, assumption,
% 43.39/6.06 X3 = idQa).
% 43.39/6.06 cnf(c15, plain,
% 43.39/6.06 ~less_equal(X6,X7),
% 43.39/6.06 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c12, c14])).
% 43.39/6.06 cnf(c16, plain,
% 43.39/6.06 $false,
% 43.39/6.06 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c12, c14])).
% 43.39/6.06
% 43.39/6.06 cnf(c17, axiom,
% 43.39/6.06 less_equal(X8,X9) | ~quotient(X10,X11,X8) | ~less_equal(X12,X11) | ~quotient(X10,X9,X12)).
% 43.39/6.06 cnf(a11, assumption,
% 43.39/6.06 X6 = X8).
% 43.39/6.06 cnf(a12, assumption,
% 43.39/6.06 X7 = X9).
% 43.39/6.06 cnf(c18, plain,
% 43.39/6.06 $false,
% 43.39/6.06 inference(strict_predicate_extension, [assumptions([a11, a12])], [c15, c17])).
% 43.39/6.06 cnf(c19, plain,
% 43.39/6.06 ~quotient(X10,X11,X8) | ~less_equal(X12,X11) | ~quotient(X10,X9,X12),
% 43.39/6.06 inference(strict_predicate_extension, [assumptions([a11, a12])], [c15, c17])).
% 43.39/6.06
% 43.39/6.06 cnf(c20, axiom,
% 43.39/6.06 quotient(identity,idQa,idQ_idQa)).
% 43.39/6.06 cnf(a13, assumption,
% 43.39/6.06 X10 = identity).
% 43.39/6.06 cnf(a14, assumption,
% 43.39/6.06 X11 = idQa).
% 43.39/6.06 cnf(a15, assumption,
% 43.39/6.06 X8 = idQ_idQa).
% 43.39/6.06 cnf(c21, plain,
% 43.39/6.06 ~less_equal(X12,X11) | ~quotient(X10,X9,X12),
% 43.39/6.06 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c19, c20])).
% 43.39/6.06 cnf(c22, plain,
% 43.39/6.06 $false,
% 43.39/6.06 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c19, c20])).
% 43.39/6.06
% 43.39/6.06 cnf(c23, axiom,
% 43.39/6.06 less_equal(X13,X14) | ~quotient(X13,X14,zero)).
% 43.39/6.06 cnf(a16, assumption,
% 43.39/6.06 X12 = X13).
% 43.39/6.06 cnf(a17, assumption,
% 43.39/6.06 X11 = X14).
% 43.39/6.06 cnf(c24, plain,
% 43.39/6.06 ~quotient(X10,X9,X12),
% 43.39/6.06 inference(strict_predicate_extension, [assumptions([a16, a17])], [c21, c23])).
% 43.39/6.06 cnf(c25, plain,
% 43.39/6.06 ~quotient(X13,X14,zero),
% 43.39/6.06 inference(strict_predicate_extension, [assumptions([a16, a17])], [c21, c23])).
% 43.39/6.06
% 43.39/6.06 cnf(c26, axiom,
% 43.39/6.06 quotient(X15,X15,zero)).
% 43.39/6.06 cnf(a18, assumption,
% 43.39/6.06 X13 = X15).
% 43.39/6.06 cnf(a19, assumption,
% 43.39/6.06 X14 = X15).
% 43.39/6.06 cnf(a20, assumption,
% 43.39/6.06 zero = zero).
% 43.39/6.06 cnf(c27, plain,
% 43.39/6.06 $false,
% 43.39/6.06 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c25, c26])).
% 43.39/6.06 cnf(c28, plain,
% 43.39/6.06 $false,
% 43.39/6.06 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c25, c26])).
% 43.39/6.06
% 43.39/6.06 cnf(c29, plain,
% 43.39/6.06 quotient(X5,X7,X3)).
% 43.39/6.06 cnf(a21, assumption,
% 43.39/6.06 X10 = X5).
% 43.39/6.06 cnf(a22, assumption,
% 43.39/6.06 X9 = X7).
% 43.39/6.06 cnf(a23, assumption,
% 43.39/6.06 X12 = X3).
% 43.39/6.06 cnf(c30, plain,
% 43.39/6.06 $false,
% 43.39/6.06 inference(predicate_reduction, [assumptions([a21, a22, a23])], [c24, c29])).
% 43.39/6.06
% 43.39/6.06 cnf(c31, axiom,
% 43.39/6.06 less_equal(X16,X17) | ~quotient(X18,X19,X16) | ~less_equal(X20,X19) | ~quotient(X18,X17,X20)).
% 43.39/6.06 cnf(a24, assumption,
% 43.39/6.06 X0 = X16).
% 43.39/6.06 cnf(a25, assumption,
% 43.39/6.06 X1 = X17).
% 43.39/6.06 cnf(c32, plain,
% 43.39/6.06 $false,
% 43.39/6.06 inference(strict_predicate_extension, [assumptions([a24, a25])], [c9, c31])).
% 43.39/6.06 cnf(c33, plain,
% 43.39/6.06 ~quotient(X18,X19,X16) | ~less_equal(X20,X19) | ~quotient(X18,X17,X20),
% 43.39/6.06 inference(strict_predicate_extension, [assumptions([a24, a25])], [c9, c31])).
% 43.39/6.06
% 43.39/6.06 cnf(c34, plain,
% 43.39/6.06 quotient(X5,X6,X4)).
% 43.39/6.06 cnf(a26, assumption,
% 43.39/6.06 X18 = X5).
% 43.39/6.06 cnf(a27, assumption,
% 43.39/6.06 X19 = X6).
% 43.39/6.06 cnf(a28, assumption,
% 43.39/6.06 X16 = X4).
% 43.39/6.06 cnf(c35, plain,
% 43.39/6.06 ~less_equal(X20,X19) | ~quotient(X18,X17,X20),
% 43.39/6.06 inference(predicate_reduction, [assumptions([a26, a27, a28])], [c33, c34])).
% 43.39/6.06
% 43.39/6.06 cnf(c36, axiom,
% 43.39/6.06 less_equal(X21,X22) | ~quotient(X22,X23,X21)).
% 43.39/6.06 cnf(a29, assumption,
% 43.39/6.06 X20 = X21).
% 43.39/6.06 cnf(a30, assumption,
% 43.39/6.06 X19 = X22).
% 43.39/6.06 cnf(c37, plain,
% 43.39/6.06 ~quotient(X18,X17,X20),
% 43.39/6.06 inference(strict_predicate_extension, [assumptions([a29, a30])], [c35, c36])).
% 43.39/6.06 cnf(c38, plain,
% 43.39/6.06 ~quotient(X22,X23,X21),
% 43.39/6.06 inference(strict_predicate_extension, [assumptions([a29, a30])], [c35, c36])).
% 43.39/6.06
% 43.39/6.06 cnf(c39, axiom,
% 43.39/6.06 quotient(X24,zero,X24)).
% 43.39/6.06 cnf(a31, assumption,
% 43.39/6.06 X22 = X24).
% 43.39/6.06 cnf(a32, assumption,
% 43.39/6.06 X23 = zero).
% 43.39/6.06 cnf(a33, assumption,
% 43.39/6.06 X21 = X24).
% 43.39/6.06 cnf(c40, plain,
% 43.39/6.06 $false,
% 43.39/6.06 inference(strict_predicate_extension, [assumptions([a31, a32, a33])], [c38, c39])).
% 43.39/6.06 cnf(c41, plain,
% 43.39/6.06 $false,
% 43.39/6.06 inference(strict_predicate_extension, [assumptions([a31, a32, a33])], [c38, c39])).
% 43.39/6.06
% 43.39/6.06 cnf(c42, plain,
% 43.39/6.06 quotient(X10,X11,X8)).
% 43.39/6.06 cnf(a34, assumption,
% 43.39/6.06 X18 = X10).
% 43.39/6.06 cnf(a35, assumption,
% 43.39/6.06 X17 = X11).
% 43.39/6.06 cnf(a36, assumption,
% 43.39/6.06 X20 = X8).
% 43.39/6.06 cnf(c43, plain,
% 43.39/6.06 $false,
% 43.39/6.06 inference(predicate_reduction, [assumptions([a34, a35, a36])], [c37, c42])).
% 43.39/6.06
% 43.39/6.06 cnf(c44, plain,
% 43.39/6.06 $false,
% 43.39/6.06 inference(constraint_solving, [
% 43.39/6.06 bind(X0, idQ__idQ_idQa),
% 43.39/6.06 bind(X1, idQa),
% 43.39/6.06 bind(X2, idQa),
% 43.39/6.06 bind(X3, idQa),
% 43.39/6.06 bind(X4, idQ__idQ_idQa),
% 43.39/6.06 bind(X5, identity),
% 43.39/6.06 bind(X6, idQ_idQa),
% 43.39/6.06 bind(X7, a),
% 43.39/6.06 bind(X8, idQ_idQa),
% 43.39/6.06 bind(X9, a),
% 43.39/6.06 bind(X10, identity),
% 43.39/6.06 bind(X11, idQa),
% 43.39/6.06 bind(X12, idQa),
% 43.39/6.06 bind(X13, idQa),
% 43.39/6.06 bind(X14, idQa),
% 43.39/6.06 bind(X15, idQa),
% 43.39/6.06 bind(X16, idQ__idQ_idQa),
% 43.39/6.06 bind(X17, idQa),
% 43.39/6.06 bind(X18, identity),
% 43.39/6.06 bind(X19, idQ_idQa),
% 43.39/6.06 bind(X20, idQ_idQa),
% 43.39/6.06 bind(X21, idQ_idQa),
% 43.39/6.06 bind(X22, idQ_idQa),
% 43.39/6.06 bind(X23, zero),
% 43.39/6.06 bind(X24, idQ_idQa)
% 43.39/6.06 ],
% 43.39/6.06 [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])).
% 43.39/6.06
% 43.39/6.06 % SZS output end IncompleteProof
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