%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : KLE083+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n003.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 : Sun Jul 17 02:09:26 EDT 2022 % Result : Theorem 284.00s 36.82s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : KLE083+1 : TPTP v8.1.0. Released v4.0.0. % 0.11/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n003.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 : Thu Jun 16 15:33:56 EDT 2022 % 0.12/0.33 % CPUTime : % 284.00/36.82 % SZS status Theorem % 284.00/36.82 % SZS output begin IncompleteProof % 284.00/36.82 cnf(c0, axiom, % 284.00/36.82 sK0 != multiplication(antidomain(antidomain(sK0)),sK0)). % 284.00/36.82 cnf(c1, plain, % 284.00/36.82 sK0 != multiplication(antidomain(antidomain(sK0)),sK0), % 284.00/36.82 inference(start, [], [c0])). % 284.00/36.82 % 284.00/36.82 cnf(c2, axiom, % 284.00/36.82 addition(X0,zero) = X0). % 284.00/36.82 cnf(a0, assumption, % 284.00/36.82 multiplication(antidomain(antidomain(sK0)),sK0) = X0). % 284.00/36.82 cnf(c3, plain, % 284.00/36.82 $false, % 284.00/36.82 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 284.00/36.82 cnf(c4, plain, % 284.00/36.82 $false, % 284.00/36.82 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 284.00/36.82 cnf(c5, plain, % 284.00/36.82 addition(X0,zero) != X1 | sK0 != X1, % 284.00/36.82 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 284.00/36.82 % 284.00/36.82 cnf(c6, axiom, % 284.00/36.82 multiplication(addition(X2,X3),X4) = addition(multiplication(X2,X4),multiplication(X3,X4))). % 284.00/36.82 cnf(a1, assumption, % 284.00/36.82 addition(X5,X6) = addition(X0,zero)). % 284.00/36.82 cnf(c7, plain, % 284.00/36.82 sK0 != X1, % 284.00/36.82 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])). % 284.00/36.82 cnf(c8, plain, % 284.00/36.82 $false, % 284.00/36.82 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])). % 284.00/36.82 cnf(c9, plain, % 284.00/36.82 X5 != multiplication(X2,X4) | X6 != multiplication(X3,X4) | X7 != multiplication(addition(X2,X3),X4) | X7 != X1, % 284.00/36.82 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])). % 284.00/36.82 % 284.00/36.82 cnf(a2, assumption, % 284.00/36.82 X5 = multiplication(X2,X4)). % 284.00/36.82 cnf(c10, plain, % 284.00/36.82 X6 != multiplication(X3,X4) | X7 != multiplication(addition(X2,X3),X4) | X7 != X1, % 284.00/36.82 inference(reflexivity, [assumptions([a2])], [c9])). % 284.00/36.82 % 284.00/36.82 cnf(c11, axiom, % 284.00/36.82 zero = multiplication(antidomain(X8),X8)). % 284.00/36.82 cnf(a3, assumption, % 284.00/36.82 multiplication(X3,X4) = multiplication(antidomain(X8),X8)). % 284.00/36.82 cnf(c12, plain, % 284.00/36.82 X7 != multiplication(addition(X2,X3),X4) | X7 != X1, % 284.00/36.82 inference(strict_function_extension, [assumptions([a3])], [c10, c11])). % 284.00/36.82 cnf(c13, plain, % 284.00/36.82 $false, % 284.00/36.82 inference(strict_function_extension, [assumptions([a3])], [c10, c11])). % 284.00/36.82 cnf(c14, plain, % 284.00/36.82 X9 != zero | X6 != X9, % 284.00/36.82 inference(strict_function_extension, [assumptions([a3])], [c10, c11])). % 284.00/36.82 % 284.00/36.82 cnf(a4, assumption, % 284.00/36.82 X9 = zero). % 284.00/36.82 cnf(c15, plain, % 284.00/36.82 X6 != X9, % 284.00/36.82 inference(reflexivity, [assumptions([a4])], [c14])). % 284.00/36.82 % 284.00/36.82 cnf(a5, assumption, % 284.00/36.82 X6 = X9). % 284.00/36.82 cnf(c16, plain, % 284.00/36.82 $false, % 284.00/36.82 inference(reflexivity, [assumptions([a5])], [c15])). % 284.00/36.82 % 284.00/36.82 cnf(c17, axiom, % 284.00/36.82 one = addition(antidomain(antidomain(X10)),antidomain(X10))). % 284.00/36.82 cnf(a6, assumption, % 284.00/36.82 addition(X2,X3) = addition(antidomain(antidomain(X10)),antidomain(X10))). % 284.00/36.82 cnf(c18, plain, % 284.00/36.82 X7 != X1, % 284.00/36.82 inference(strict_function_extension, [assumptions([a6])], [c12, c17])). % 284.00/36.82 cnf(c19, plain, % 284.00/36.82 $false, % 284.00/36.82 inference(strict_function_extension, [assumptions([a6])], [c12, c17])). % 284.00/36.82 cnf(c20, plain, % 284.00/36.82 X11 != one | X7 != multiplication(X11,X4), % 284.00/36.82 inference(strict_function_extension, [assumptions([a6])], [c12, c17])). % 284.00/36.82 % 284.00/36.82 cnf(a7, assumption, % 284.00/36.82 X11 = one). % 284.00/36.82 cnf(c21, plain, % 284.00/36.82 X7 != multiplication(X11,X4), % 284.00/36.82 inference(reflexivity, [assumptions([a7])], [c20])). % 284.00/36.82 % 284.00/36.82 cnf(c22, axiom, % 284.00/36.82 multiplication(one,X12) = X12). % 284.00/36.82 cnf(a8, assumption, % 284.00/36.82 multiplication(X11,X4) = multiplication(one,X12)). % 284.00/36.82 cnf(c23, plain, % 284.00/36.82 $false, % 284.00/36.82 inference(strict_function_extension, [assumptions([a8])], [c21, c22])). % 284.00/36.82 cnf(c24, plain, % 284.00/36.82 $false, % 284.00/36.82 inference(strict_function_extension, [assumptions([a8])], [c21, c22])). % 284.00/36.82 cnf(c25, plain, % 284.00/36.82 X13 != X12 | X7 != X13, % 284.00/36.82 inference(strict_function_extension, [assumptions([a8])], [c21, c22])). % 284.00/36.82 % 284.00/36.82 cnf(a9, assumption, % 284.00/36.82 X13 = X12). % 284.00/36.82 cnf(c26, plain, % 284.00/36.82 X7 != X13, % 284.00/36.82 inference(reflexivity, [assumptions([a9])], [c25])). % 284.00/36.82 % 284.00/36.82 cnf(a10, assumption, % 284.00/36.82 X7 = X13). % 284.00/36.82 cnf(c27, plain, % 284.00/36.82 $false, % 284.00/36.82 inference(reflexivity, [assumptions([a10])], [c26])). % 284.00/36.82 % 284.00/36.82 cnf(a11, assumption, % 284.00/36.82 X7 = X1). % 284.00/36.82 cnf(c28, plain, % 284.00/36.82 $false, % 284.00/36.82 inference(reflexivity, [assumptions([a11])], [c18])). % 284.00/36.82 % 284.00/36.82 cnf(a12, assumption, % 284.00/36.82 sK0 = X1). % 284.00/36.82 cnf(c29, plain, % 284.00/36.82 $false, % 284.00/36.82 inference(reflexivity, [assumptions([a12])], [c7])). % 284.00/36.82 % 284.00/36.82 cnf(c30, plain, % 284.00/36.82 $false, % 284.00/36.82 inference(constraint_solving, [ % 284.00/36.82 bind(X0, multiplication(antidomain(antidomain(sK0)),sK0)), % 284.00/36.82 bind(X1, sK0), % 284.00/36.82 bind(X2, antidomain(antidomain(sK0))), % 284.00/36.82 bind(X3, antidomain(X8)), % 284.00/36.82 bind(X4, sK0), % 284.00/36.82 bind(X7, sK0), % 284.00/36.82 bind(X5, multiplication(antidomain(antidomain(sK0)),sK0)), % 284.00/36.82 bind(X6, zero), % 284.00/36.82 bind(X8, sK0), % 284.00/36.82 bind(X9, zero), % 284.00/36.82 bind(X10, sK0), % 284.00/36.82 bind(X11, one), % 284.00/36.82 bind(X12, sK0), % 284.00/36.82 bind(X13, sK0) % 284.00/36.82 ], % 284.00/36.82 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12])). % 284.00/36.82 % 284.00/36.82 % SZS output end IncompleteProof %------------------------------------------------------------------------------