%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : COL060-2 : TPTP v8.1.0. Bugfixed v1.2.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n021.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 : Fri Jul 15 00:34:00 EDT 2022 % Result : Unsatisfiable 12.96s 2.05s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : COL060-2 : TPTP v8.1.0. Bugfixed v1.2.0. % 0.07/0.14 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.36 % Computer : n021.cluster.edu % 0.13/0.36 % Model : x86_64 x86_64 % 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.36 % Memory : 8042.1875MB % 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.36 % CPULimit : 300 % 0.13/0.36 % WCLimit : 600 % 0.13/0.36 % DateTime : Tue May 31 11:41:59 EDT 2022 % 0.13/0.36 % CPUTime : % 12.96/2.05 % SZS status Unsatisfiable % 12.96/2.05 % SZS output begin IncompleteProof % 12.96/2.05 cnf(c0, axiom, % 12.96/2.05 apply(apply(apply(apply(apply(b,apply(t,b)),apply(apply(b,b),t)),x),y),z) != apply(y,apply(x,z))). % 12.96/2.05 cnf(c1, plain, % 12.96/2.05 apply(apply(apply(apply(apply(b,apply(t,b)),apply(apply(b,b),t)),x),y),z) != apply(y,apply(x,z)), % 12.96/2.05 inference(start, [], [c0])). % 12.96/2.05 % 12.96/2.05 cnf(c2, axiom, % 12.96/2.05 apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2))). % 12.96/2.05 cnf(a0, assumption, % 12.96/2.05 apply(apply(apply(b,apply(t,b)),apply(apply(b,b),t)),x) = apply(apply(apply(b,X0),X1),X2)). % 12.96/2.05 cnf(c3, plain, % 12.96/2.05 $false, % 12.96/2.05 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 12.96/2.05 cnf(c4, plain, % 12.96/2.05 $false, % 12.96/2.05 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 12.96/2.05 cnf(c5, plain, % 12.96/2.05 X3 != apply(X0,apply(X1,X2)) | apply(apply(X3,y),z) != apply(y,apply(x,z)), % 12.96/2.05 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 12.96/2.05 % 12.96/2.05 cnf(c6, axiom, % 12.96/2.05 apply(apply(apply(b,X4),X5),X6) = apply(X4,apply(X5,X6))). % 12.96/2.05 cnf(a1, assumption, % 12.96/2.05 apply(X1,X2) = apply(apply(apply(b,X4),X5),X6)). % 12.96/2.05 cnf(c7, plain, % 12.96/2.05 apply(apply(X3,y),z) != apply(y,apply(x,z)), % 12.96/2.05 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 12.96/2.05 cnf(c8, plain, % 12.96/2.05 $false, % 12.96/2.05 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 12.96/2.05 cnf(c9, plain, % 12.96/2.05 X7 != apply(X4,apply(X5,X6)) | X3 != apply(X0,X7), % 12.96/2.05 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 12.96/2.05 % 12.96/2.05 cnf(a2, assumption, % 12.96/2.05 X7 = apply(X4,apply(X5,X6))). % 12.96/2.05 cnf(c10, plain, % 12.96/2.05 X3 != apply(X0,X7), % 12.96/2.05 inference(reflexivity, [assumptions([a2])], [c9])). % 12.96/2.05 % 12.96/2.05 cnf(a3, assumption, % 12.96/2.05 X3 = apply(X0,X7)). % 12.96/2.05 cnf(c11, plain, % 12.96/2.05 $false, % 12.96/2.05 inference(reflexivity, [assumptions([a3])], [c10])). % 12.96/2.05 % 12.96/2.05 cnf(c12, axiom, % 12.96/2.05 apply(apply(apply(b,X8),X9),X10) = apply(X8,apply(X9,X10))). % 12.96/2.05 cnf(a4, assumption, % 12.96/2.05 apply(X11,X12) = apply(X3,y)). % 12.96/2.05 cnf(c13, plain, % 12.96/2.05 $false, % 12.96/2.05 inference(lazy_function_extension, [assumptions([a4])], [c7, c12])). % 12.96/2.05 cnf(c14, plain, % 12.96/2.05 $false, % 12.96/2.05 inference(lazy_function_extension, [assumptions([a4])], [c7, c12])). % 12.96/2.05 cnf(c15, plain, % 12.96/2.05 X11 != apply(apply(b,X8),X9) | X12 != X10 | X13 != apply(X8,apply(X9,X10)) | apply(X13,z) != apply(y,apply(x,z)), % 12.96/2.05 inference(lazy_function_extension, [assumptions([a4])], [c7, c12])). % 12.96/2.05 % 12.96/2.05 cnf(c16, axiom, % 12.96/2.05 apply(apply(t,X14),X15) = apply(X15,X14)). % 12.96/2.05 cnf(a5, assumption, % 12.96/2.05 apply(apply(b,X8),X9) = apply(X15,X14)). % 12.96/2.05 cnf(c17, plain, % 12.96/2.05 X12 != X10 | X13 != apply(X8,apply(X9,X10)) | apply(X13,z) != apply(y,apply(x,z)), % 12.96/2.05 inference(strict_function_extension, [assumptions([a5])], [c15, c16])). % 12.96/2.05 cnf(c18, plain, % 12.96/2.05 $false, % 12.96/2.05 inference(strict_function_extension, [assumptions([a5])], [c15, c16])). % 12.96/2.05 cnf(c19, plain, % 12.96/2.05 X16 != apply(apply(t,X14),X15) | X11 != X16, % 12.96/2.05 inference(strict_function_extension, [assumptions([a5])], [c15, c16])). % 12.96/2.05 % 12.96/2.05 cnf(a6, assumption, % 12.96/2.05 X16 = apply(apply(t,X14),X15)). % 12.96/2.05 cnf(c20, plain, % 12.96/2.05 X11 != X16, % 12.96/2.05 inference(reflexivity, [assumptions([a6])], [c19])). % 12.96/2.05 % 12.96/2.05 cnf(a7, assumption, % 12.96/2.05 X11 = X16). % 12.96/2.05 cnf(c21, plain, % 12.96/2.05 $false, % 12.96/2.05 inference(reflexivity, [assumptions([a7])], [c20])). % 12.96/2.05 % 12.96/2.05 cnf(a8, assumption, % 12.96/2.05 X12 = X10). % 12.96/2.05 cnf(c22, plain, % 12.96/2.05 X13 != apply(X8,apply(X9,X10)) | apply(X13,z) != apply(y,apply(x,z)), % 12.96/2.05 inference(reflexivity, [assumptions([a8])], [c17])). % 12.96/2.05 % 12.96/2.05 cnf(c23, axiom, % 12.96/2.05 apply(apply(t,X17),X18) = apply(X18,X17)). % 12.96/2.05 cnf(a9, assumption, % 12.96/2.05 apply(X8,apply(X9,X10)) = apply(apply(t,X17),X18)). % 12.96/2.05 cnf(c24, plain, % 12.96/2.05 apply(X13,z) != apply(y,apply(x,z)), % 12.96/2.05 inference(strict_function_extension, [assumptions([a9])], [c22, c23])). % 12.96/2.05 cnf(c25, plain, % 12.96/2.05 $false, % 12.96/2.05 inference(strict_function_extension, [assumptions([a9])], [c22, c23])). % 12.96/2.05 cnf(c26, plain, % 12.96/2.05 X19 != apply(X18,X17) | X13 != X19, % 12.96/2.05 inference(strict_function_extension, [assumptions([a9])], [c22, c23])). % 12.96/2.05 % 12.96/2.05 cnf(a10, assumption, % 12.96/2.05 X19 = apply(X18,X17)). % 12.96/2.05 cnf(c27, plain, % 12.96/2.05 X13 != X19, % 12.96/2.05 inference(reflexivity, [assumptions([a10])], [c26])). % 12.96/2.05 % 12.96/2.05 cnf(a11, assumption, % 12.96/2.05 X13 = X19). % 12.96/2.05 cnf(c28, plain, % 12.96/2.05 $false, % 12.96/2.05 inference(reflexivity, [assumptions([a11])], [c27])). % 12.96/2.05 % 12.96/2.05 cnf(c29, axiom, % 12.96/2.05 apply(apply(apply(b,X20),X21),X22) = apply(X20,apply(X21,X22))). % 12.96/2.05 cnf(a12, assumption, % 12.96/2.05 apply(X13,z) = apply(apply(apply(b,X20),X21),X22)). % 12.96/2.05 cnf(c30, plain, % 12.96/2.05 $false, % 12.96/2.05 inference(strict_function_extension, [assumptions([a12])], [c24, c29])). % 12.96/2.05 cnf(c31, plain, % 12.96/2.05 $false, % 12.96/2.05 inference(strict_function_extension, [assumptions([a12])], [c24, c29])). % 12.96/2.05 cnf(c32, plain, % 12.96/2.05 X23 != apply(X20,apply(X21,X22)) | X23 != apply(y,apply(x,z)), % 12.96/2.05 inference(strict_function_extension, [assumptions([a12])], [c24, c29])). % 12.96/2.05 % 12.96/2.05 cnf(a13, assumption, % 12.96/2.05 X23 = apply(X20,apply(X21,X22))). % 12.96/2.05 cnf(c33, plain, % 12.96/2.05 X23 != apply(y,apply(x,z)), % 12.96/2.05 inference(reflexivity, [assumptions([a13])], [c32])). % 12.96/2.05 % 12.96/2.05 cnf(a14, assumption, % 12.96/2.05 X23 = apply(y,apply(x,z))). % 12.96/2.05 cnf(c34, plain, % 12.96/2.05 $false, % 12.96/2.05 inference(reflexivity, [assumptions([a14])], [c33])). % 12.96/2.05 % 12.96/2.05 cnf(c35, plain, % 12.96/2.05 $false, % 12.96/2.05 inference(constraint_solving, [ % 12.96/2.05 bind(X0, apply(t,b)), % 12.96/2.05 bind(X1, apply(apply(b,b),t)), % 12.96/2.05 bind(X2, x), % 12.96/2.05 bind(X3, apply(X0,X7)), % 12.96/2.05 bind(X4, b), % 12.96/2.05 bind(X5, t), % 12.96/2.05 bind(X6, x), % 12.96/2.05 bind(X7, apply(X4,apply(X5,X6))), % 12.96/2.05 bind(X8, apply(X5,X6)), % 12.96/2.05 bind(X9, b), % 12.96/2.05 bind(X10, y), % 12.96/2.05 bind(X13, apply(X18,X17)), % 12.96/2.05 bind(X11, apply(X0,X7)), % 12.96/2.05 bind(X12, y), % 12.96/2.05 bind(X14, b), % 12.96/2.05 bind(X15, apply(b,X8)), % 12.96/2.05 bind(X16, apply(apply(t,X14),X15)), % 12.96/2.05 bind(X17, x), % 12.96/2.05 bind(X18, apply(X9,X10)), % 12.96/2.05 bind(X19, apply(X18,X17)), % 12.96/2.05 bind(X20, y), % 12.96/2.05 bind(X21, x), % 12.96/2.05 bind(X22, z), % 12.96/2.05 bind(X23, apply(X20,apply(X21,X22))) % 12.96/2.05 ], % 12.96/2.05 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14])). % 12.96/2.05 % 12.96/2.05 % SZS output end IncompleteProof %------------------------------------------------------------------------------