%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : ALG235-1 : 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 : n023.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 : Thu Jul 14 17:20:57 EDT 2022 % Result : Unsatisfiable 5.38s 1.04s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : ALG235-1 : 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 : n023.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 : Wed Jun 8 16:19:53 EDT 2022 % 0.12/0.33 % CPUTime : % 5.38/1.04 % SZS status Unsatisfiable % 5.38/1.04 % SZS output begin IncompleteProof % 5.38/1.04 cnf(c0, axiom, % 5.38/1.04 mult(a,mult(b,mult(a,mult(c,mult(d,c))))) != mult(a,mult(b,mult(d,c)))). % 5.38/1.04 cnf(c1, plain, % 5.38/1.04 mult(a,mult(b,mult(a,mult(c,mult(d,c))))) != mult(a,mult(b,mult(d,c))), % 5.38/1.04 inference(start, [], [c0])). % 5.38/1.04 % 5.38/1.04 cnf(c2, axiom, % 5.38/1.04 mult(X0,mult(X1,mult(X2,X3))) = mult(X2,mult(X1,mult(X0,X3)))). % 5.38/1.04 cnf(a0, assumption, % 5.38/1.04 mult(X4,X5) = mult(a,mult(b,mult(a,mult(c,mult(d,c)))))). % 5.38/1.04 cnf(c3, plain, % 5.38/1.04 $false, % 5.38/1.04 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])). % 5.38/1.04 cnf(c4, plain, % 5.38/1.04 $false, % 5.38/1.04 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])). % 5.38/1.04 cnf(c5, plain, % 5.38/1.04 X4 != X0 | X5 != mult(X1,mult(X2,X3)) | X6 != mult(X2,mult(X1,mult(X0,X3))) | X6 != mult(a,mult(b,mult(d,c))), % 5.38/1.04 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])). % 5.38/1.04 % 5.38/1.04 cnf(a1, assumption, % 5.38/1.04 X4 = X0). % 5.38/1.04 cnf(c6, plain, % 5.38/1.04 X5 != mult(X1,mult(X2,X3)) | X6 != mult(X2,mult(X1,mult(X0,X3))) | X6 != mult(a,mult(b,mult(d,c))), % 5.38/1.04 inference(reflexivity, [assumptions([a1])], [c5])). % 5.38/1.04 % 5.38/1.04 cnf(c7, axiom, % 5.38/1.04 mult(X7,mult(X8,mult(X9,X10))) = mult(X9,mult(X8,mult(X7,X10)))). % 5.38/1.04 cnf(a2, assumption, % 5.38/1.04 mult(X2,X3) = mult(X9,mult(X8,mult(X7,X10)))). % 5.38/1.04 cnf(c8, plain, % 5.38/1.04 X6 != mult(X2,mult(X1,mult(X0,X3))) | X6 != mult(a,mult(b,mult(d,c))), % 5.38/1.04 inference(strict_function_extension, [assumptions([a2])], [c6, c7])). % 5.38/1.04 cnf(c9, plain, % 5.38/1.04 $false, % 5.38/1.04 inference(strict_function_extension, [assumptions([a2])], [c6, c7])). % 5.38/1.04 cnf(c10, plain, % 5.38/1.04 X11 != mult(X7,mult(X8,mult(X9,X10))) | X5 != mult(X1,X11), % 5.38/1.04 inference(strict_function_extension, [assumptions([a2])], [c6, c7])). % 5.38/1.04 % 5.38/1.04 cnf(a3, assumption, % 5.38/1.04 X11 = mult(X7,mult(X8,mult(X9,X10)))). % 5.38/1.04 cnf(c11, plain, % 5.38/1.04 X5 != mult(X1,X11), % 5.38/1.04 inference(reflexivity, [assumptions([a3])], [c10])). % 5.38/1.04 % 5.38/1.04 cnf(a4, assumption, % 5.38/1.04 X5 = mult(X1,X11)). % 5.38/1.04 cnf(c12, plain, % 5.38/1.04 $false, % 5.38/1.04 inference(reflexivity, [assumptions([a4])], [c11])). % 5.38/1.04 % 5.38/1.04 cnf(c13, axiom, % 5.38/1.04 mult(X12,X13) = mult(X12,mult(X13,mult(X12,X13)))). % 5.38/1.04 cnf(a5, assumption, % 5.38/1.04 mult(X0,X3) = mult(X12,mult(X13,mult(X12,X13)))). % 5.38/1.04 cnf(c14, plain, % 5.38/1.04 X6 != mult(a,mult(b,mult(d,c))), % 5.38/1.04 inference(strict_function_extension, [assumptions([a5])], [c8, c13])). % 5.38/1.04 cnf(c15, plain, % 5.38/1.04 $false, % 5.38/1.04 inference(strict_function_extension, [assumptions([a5])], [c8, c13])). % 5.38/1.04 cnf(c16, plain, % 5.38/1.04 X14 != mult(X12,X13) | X6 != mult(X2,mult(X1,X14)), % 5.38/1.04 inference(strict_function_extension, [assumptions([a5])], [c8, c13])). % 5.38/1.04 % 5.38/1.04 cnf(a6, assumption, % 5.38/1.04 X14 = mult(X12,X13)). % 5.38/1.04 cnf(c17, plain, % 5.38/1.04 X6 != mult(X2,mult(X1,X14)), % 5.38/1.04 inference(reflexivity, [assumptions([a6])], [c16])). % 5.38/1.04 % 5.38/1.04 cnf(c18, axiom, % 5.38/1.04 mult(X15,mult(X16,mult(X17,X18))) = mult(X17,mult(X16,mult(X15,X18)))). % 5.38/1.04 cnf(a7, assumption, % 5.38/1.04 mult(X2,mult(X1,X14)) = mult(X17,mult(X16,mult(X15,X18)))). % 5.38/1.04 cnf(c19, plain, % 5.38/1.04 $false, % 5.38/1.04 inference(strict_function_extension, [assumptions([a7])], [c17, c18])). % 5.38/1.04 cnf(c20, plain, % 5.38/1.04 $false, % 5.38/1.04 inference(strict_function_extension, [assumptions([a7])], [c17, c18])). % 5.38/1.04 cnf(c21, plain, % 5.38/1.04 X19 != mult(X15,mult(X16,mult(X17,X18))) | X6 != X19, % 5.38/1.04 inference(strict_function_extension, [assumptions([a7])], [c17, c18])). % 5.38/1.04 % 5.38/1.04 cnf(a8, assumption, % 5.38/1.04 X19 = mult(X15,mult(X16,mult(X17,X18)))). % 5.38/1.04 cnf(c22, plain, % 5.38/1.04 X6 != X19, % 5.38/1.04 inference(reflexivity, [assumptions([a8])], [c21])). % 5.38/1.04 % 5.38/1.04 cnf(a9, assumption, % 5.38/1.04 X6 = X19). % 5.38/1.04 cnf(c23, plain, % 5.38/1.04 $false, % 5.38/1.04 inference(reflexivity, [assumptions([a9])], [c22])). % 5.38/1.04 % 5.38/1.04 cnf(a10, assumption, % 5.38/1.04 X6 = mult(a,mult(b,mult(d,c)))). % 5.38/1.04 cnf(c24, plain, % 5.38/1.04 $false, % 5.38/1.04 inference(reflexivity, [assumptions([a10])], [c14])). % 5.38/1.04 % 5.38/1.04 cnf(c25, plain, % 5.38/1.04 $false, % 5.38/1.04 inference(constraint_solving, [ % 5.38/1.04 bind(X0, a), % 5.38/1.04 bind(X1, b), % 5.38/1.04 bind(X2, d), % 5.38/1.04 bind(X3, mult(X8,mult(X7,X10))), % 5.38/1.04 bind(X6, mult(X15,mult(X16,mult(X17,X18)))), % 5.38/1.04 bind(X4, a), % 5.38/1.04 bind(X5, mult(b,mult(a,mult(c,mult(d,c))))), % 5.38/1.04 bind(X7, a), % 5.38/1.04 bind(X8, c), % 5.38/1.04 bind(X9, d), % 5.38/1.04 bind(X10, c), % 5.38/1.04 bind(X11, mult(X7,mult(X8,mult(X9,X10)))), % 5.38/1.04 bind(X12, a), % 5.38/1.04 bind(X13, c), % 5.38/1.04 bind(X14, mult(X12,X13)), % 5.38/1.04 bind(X15, a), % 5.38/1.04 bind(X16, b), % 5.38/1.04 bind(X17, d), % 5.38/1.04 bind(X18, c), % 5.38/1.04 bind(X19, mult(X15,mult(X16,mult(X17,X18)))) % 5.38/1.04 ], % 5.38/1.04 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10])). % 5.38/1.04 % 5.38/1.04 % SZS output end IncompleteProof %------------------------------------------------------------------------------