%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : COL075-2 : TPTP v8.1.0. Released 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 : n028.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 00:34:03 EDT 2022 % Result : Unsatisfiable 0.21s 0.50s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : COL075-2 : TPTP v8.1.0. Released v1.2.0. % 0.03/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.34 % Computer : n028.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Tue May 31 12:27:06 EDT 2022 % 0.13/0.34 % CPUTime : % 0.21/0.50 % SZS status Unsatisfiable % 0.21/0.50 % SZS output begin IncompleteProof % 0.21/0.50 cnf(c0, axiom, % 0.21/0.50 apply(apply(X0,b(X0)),c(X0)) != apply(b(X0),b(X0))). % 0.21/0.50 cnf(c1, plain, % 0.21/0.50 apply(apply(X0,b(X0)),c(X0)) != apply(b(X0),b(X0)), % 0.21/0.50 inference(start, [], [c0])). % 0.21/0.50 % 0.21/0.50 cnf(c2, axiom, % 0.21/0.50 apply(apply(apply(abstraction,X1),X2),X3) = apply(apply(X1,apply(k,X3)),apply(X2,X3))). % 0.21/0.50 cnf(a0, assumption, % 0.21/0.50 apply(X4,X5) = apply(apply(X0,b(X0)),c(X0))). % 0.21/0.50 cnf(c3, plain, % 0.21/0.50 $false, % 0.21/0.50 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])). % 0.21/0.50 cnf(c4, plain, % 0.21/0.50 $false, % 0.21/0.50 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])). % 0.21/0.50 cnf(c5, plain, % 0.21/0.50 X4 != apply(apply(abstraction,X1),X2) | X5 != X3 | X6 != apply(apply(X1,apply(k,X3)),apply(X2,X3)) | X6 != apply(b(X0),b(X0)), % 0.21/0.50 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])). % 0.21/0.50 % 0.21/0.50 cnf(c6, axiom, % 0.21/0.50 apply(apply(apply(abstraction,X7),X8),X9) = apply(apply(X7,apply(k,X9)),apply(X8,X9))). % 0.21/0.50 cnf(a1, assumption, % 0.21/0.50 apply(apply(abstraction,X1),X2) = apply(apply(X7,apply(k,X9)),apply(X8,X9))). % 0.21/0.50 cnf(c7, plain, % 0.21/0.50 X5 != X3 | X6 != apply(apply(X1,apply(k,X3)),apply(X2,X3)) | X6 != apply(b(X0),b(X0)), % 0.21/0.50 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 0.21/0.50 cnf(c8, plain, % 0.21/0.50 $false, % 0.21/0.50 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 0.21/0.50 cnf(c9, plain, % 0.21/0.50 X10 != apply(apply(apply(abstraction,X7),X8),X9) | X4 != X10, % 0.21/0.50 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 0.21/0.50 % 0.21/0.50 cnf(a2, assumption, % 0.21/0.50 X10 = apply(apply(apply(abstraction,X7),X8),X9)). % 0.21/0.50 cnf(c10, plain, % 0.21/0.50 X4 != X10, % 0.21/0.50 inference(reflexivity, [assumptions([a2])], [c9])). % 0.21/0.50 % 0.21/0.50 cnf(a3, assumption, % 0.21/0.50 X4 = X10). % 0.21/0.50 cnf(c11, plain, % 0.21/0.50 $false, % 0.21/0.50 inference(reflexivity, [assumptions([a3])], [c10])). % 0.21/0.50 % 0.21/0.50 cnf(a4, assumption, % 0.21/0.50 X5 = X3). % 0.21/0.50 cnf(c12, plain, % 0.21/0.50 X6 != apply(apply(X1,apply(k,X3)),apply(X2,X3)) | X6 != apply(b(X0),b(X0)), % 0.21/0.50 inference(reflexivity, [assumptions([a4])], [c7])). % 0.21/0.50 % 0.21/0.50 cnf(c13, axiom, % 0.21/0.50 apply(apply(k,X11),X12) = X11). % 0.21/0.50 cnf(a5, assumption, % 0.21/0.50 apply(X2,X3) = apply(apply(k,X11),X12)). % 0.21/0.50 cnf(c14, plain, % 0.21/0.50 X6 != apply(b(X0),b(X0)), % 0.21/0.50 inference(strict_function_extension, [assumptions([a5])], [c12, c13])). % 0.21/0.50 cnf(c15, plain, % 0.21/0.50 $false, % 0.21/0.50 inference(strict_function_extension, [assumptions([a5])], [c12, c13])). % 0.21/0.50 cnf(c16, plain, % 0.21/0.50 X13 != X11 | X6 != apply(apply(X1,apply(k,X3)),X13), % 0.21/0.50 inference(strict_function_extension, [assumptions([a5])], [c12, c13])). % 0.21/0.50 % 0.21/0.50 cnf(a6, assumption, % 0.21/0.50 X13 = X11). % 0.21/0.50 cnf(c17, plain, % 0.21/0.50 X6 != apply(apply(X1,apply(k,X3)),X13), % 0.21/0.50 inference(reflexivity, [assumptions([a6])], [c16])). % 0.21/0.50 % 0.21/0.50 cnf(c18, axiom, % 0.21/0.50 apply(apply(k,X14),X15) = X14). % 0.21/0.50 cnf(a7, assumption, % 0.21/0.50 apply(X1,apply(k,X3)) = apply(apply(k,X14),X15)). % 0.21/0.50 cnf(c19, plain, % 0.21/0.50 $false, % 0.21/0.50 inference(strict_function_extension, [assumptions([a7])], [c17, c18])). % 0.21/0.50 cnf(c20, plain, % 0.21/0.50 $false, % 0.21/0.50 inference(strict_function_extension, [assumptions([a7])], [c17, c18])). % 0.21/0.50 cnf(c21, plain, % 0.21/0.50 X16 != X14 | X6 != apply(X16,X13), % 0.21/0.50 inference(strict_function_extension, [assumptions([a7])], [c17, c18])). % 0.21/0.50 % 0.21/0.50 cnf(a8, assumption, % 0.21/0.50 X16 = X14). % 0.21/0.50 cnf(c22, plain, % 0.21/0.50 X6 != apply(X16,X13), % 0.21/0.50 inference(reflexivity, [assumptions([a8])], [c21])). % 0.21/0.50 % 0.21/0.50 cnf(a9, assumption, % 0.21/0.50 X6 = apply(X16,X13)). % 0.21/0.50 cnf(c23, plain, % 0.21/0.50 $false, % 0.21/0.50 inference(reflexivity, [assumptions([a9])], [c22])). % 0.21/0.50 % 0.21/0.50 cnf(a10, assumption, % 0.21/0.50 X6 = apply(b(X0),b(X0))). % 0.21/0.50 cnf(c24, plain, % 0.21/0.50 $false, % 0.21/0.50 inference(reflexivity, [assumptions([a10])], [c14])). % 0.21/0.50 % 0.21/0.50 cnf(c25, plain, % 0.21/0.50 $false, % 0.21/0.50 inference(constraint_solving, [ % 0.21/0.50 bind(X0, apply(apply(abstraction,X7),X8)), % 0.21/0.50 bind(X1, apply(k,X9)), % 0.21/0.50 bind(X2, apply(X8,X9)), % 0.21/0.50 bind(X3, c(X0)), % 0.21/0.50 bind(X6, apply(X16,X13)), % 0.21/0.50 bind(X4, apply(X0,b(X0))), % 0.21/0.50 bind(X5, c(X0)), % 0.21/0.50 bind(X7, abstraction), % 0.21/0.50 bind(X8, k), % 0.21/0.50 bind(X9, b(X0)), % 0.21/0.50 bind(X10, apply(apply(apply(abstraction,X7),X8),X9)), % 0.21/0.50 bind(X11, b(X0)), % 0.21/0.50 bind(X12, c(X0)), % 0.21/0.50 bind(X13, b(X0)), % 0.21/0.50 bind(X14, b(X0)), % 0.21/0.50 bind(X15, apply(k,X3)), % 0.21/0.50 bind(X16, b(X0)) % 0.21/0.50 ], % 0.21/0.50 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10])). % 0.21/0.50 % 0.21/0.50 % SZS output end IncompleteProof %------------------------------------------------------------------------------