%------------------------------------------------------------------------------ % 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 %------------------------------------------------------------------------------