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