%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : KLE067+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 : n012.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 02:09:23 EDT 2022 % Result : Theorem 21.40s 3.13s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : KLE067+1 : TPTP v8.1.0. Released v4.0.0. % 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 : n012.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 : Thu Jun 16 14:54:24 EDT 2022 % 0.12/0.34 % CPUTime : % 21.40/3.13 % SZS status Theorem % 21.40/3.13 % SZS output begin IncompleteProof % 21.40/3.13 cnf(c0, axiom, % 21.40/3.13 addition(domain(sK0),domain(sK1)) != domain(addition(domain(sK0),domain(sK1)))). % 21.40/3.13 cnf(c1, plain, % 21.40/3.13 addition(domain(sK0),domain(sK1)) != domain(addition(domain(sK0),domain(sK1))), % 21.40/3.13 inference(start, [], [c0])). % 21.40/3.13 % 21.40/3.13 cnf(c2, axiom, % 21.40/3.13 domain(addition(X0,X1)) = addition(domain(X0),domain(X1))). % 21.40/3.13 cnf(a0, assumption, % 21.40/3.13 addition(domain(sK0),domain(sK1)) = addition(domain(X0),domain(X1))). % 21.40/3.13 cnf(c3, plain, % 21.40/3.13 $false, % 21.40/3.13 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 21.40/3.13 cnf(c4, plain, % 21.40/3.13 $false, % 21.40/3.13 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 21.40/3.13 cnf(c5, plain, % 21.40/3.13 X2 != domain(addition(X0,X1)) | addition(domain(sK0),domain(sK1)) != domain(X2), % 21.40/3.13 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 21.40/3.13 % 21.40/3.13 cnf(a1, assumption, % 21.40/3.13 X2 = domain(addition(X0,X1))). % 21.40/3.13 cnf(c6, plain, % 21.40/3.13 addition(domain(sK0),domain(sK1)) != domain(X2), % 21.40/3.13 inference(reflexivity, [assumptions([a1])], [c5])). % 21.40/3.13 % 21.40/3.13 cnf(c7, plain, % 21.40/3.13 domain(addition(X0,X1)) = addition(domain(X0),domain(X1))). % 21.40/3.13 cnf(a2, assumption, % 21.40/3.13 addition(domain(sK0),domain(sK1)) = addition(domain(X0),domain(X1))). % 21.40/3.13 cnf(a3, assumption, % 21.40/3.13 domain(addition(X0,X1)) = X3). % 21.40/3.13 cnf(c8, plain, % 21.40/3.13 $false, % 21.40/3.13 inference(equality_reduction, [assumptions([a2, a3])], [c6, c7])). % 21.40/3.13 cnf(c9, plain, % 21.40/3.13 X3 != domain(X2), % 21.40/3.13 inference(equality_reduction, [assumptions([a2, a3])], [c6, c7])). % 21.40/3.13 % 21.40/3.13 cnf(c10, axiom, % 21.40/3.13 domain(multiplication(X4,X5)) = domain(multiplication(X4,domain(X5)))). % 21.40/3.13 cnf(a4, assumption, % 21.40/3.13 domain(X6) = domain(X2)). % 21.40/3.13 cnf(c11, plain, % 21.40/3.13 $false, % 21.40/3.13 inference(lazy_function_extension, [assumptions([a4])], [c9, c10])). % 21.40/3.13 cnf(c12, plain, % 21.40/3.13 $false, % 21.40/3.13 inference(lazy_function_extension, [assumptions([a4])], [c9, c10])). % 21.40/3.13 cnf(c13, plain, % 21.40/3.13 X6 != multiplication(X4,domain(X5)) | X7 != domain(multiplication(X4,X5)) | X3 != X7, % 21.40/3.13 inference(lazy_function_extension, [assumptions([a4])], [c9, c10])). % 21.40/3.13 % 21.40/3.13 cnf(c14, axiom, % 21.40/3.13 multiplication(one,X8) = X8). % 21.40/3.13 cnf(a5, assumption, % 21.40/3.13 multiplication(X4,domain(X5)) = multiplication(one,X8)). % 21.40/3.13 cnf(c15, plain, % 21.40/3.13 X7 != domain(multiplication(X4,X5)) | X3 != X7, % 21.40/3.13 inference(strict_function_extension, [assumptions([a5])], [c13, c14])). % 21.40/3.13 cnf(c16, plain, % 21.40/3.13 $false, % 21.40/3.13 inference(strict_function_extension, [assumptions([a5])], [c13, c14])). % 21.40/3.13 cnf(c17, plain, % 21.40/3.13 X9 != X8 | X6 != X9, % 21.40/3.13 inference(strict_function_extension, [assumptions([a5])], [c13, c14])). % 21.40/3.13 % 21.40/3.13 cnf(a6, assumption, % 21.40/3.13 X9 = X8). % 21.40/3.13 cnf(c18, plain, % 21.40/3.13 X6 != X9, % 21.40/3.13 inference(reflexivity, [assumptions([a6])], [c17])). % 21.40/3.13 % 21.40/3.13 cnf(a7, assumption, % 21.40/3.13 X6 = X9). % 21.40/3.13 cnf(c19, plain, % 21.40/3.13 $false, % 21.40/3.13 inference(reflexivity, [assumptions([a7])], [c18])). % 21.40/3.13 % 21.40/3.13 cnf(c20, axiom, % 21.40/3.13 multiplication(one,X10) = X10). % 21.40/3.13 cnf(a8, assumption, % 21.40/3.13 multiplication(X4,X5) = multiplication(one,X10)). % 21.40/3.13 cnf(c21, plain, % 21.40/3.13 X3 != X7, % 21.40/3.13 inference(strict_function_extension, [assumptions([a8])], [c15, c20])). % 21.40/3.13 cnf(c22, plain, % 21.40/3.13 $false, % 21.40/3.13 inference(strict_function_extension, [assumptions([a8])], [c15, c20])). % 21.40/3.13 cnf(c23, plain, % 21.40/3.13 X11 != X10 | X7 != domain(X11), % 21.40/3.13 inference(strict_function_extension, [assumptions([a8])], [c15, c20])). % 21.40/3.13 % 21.40/3.13 cnf(a9, assumption, % 21.40/3.13 X11 = X10). % 21.40/3.13 cnf(c24, plain, % 21.40/3.13 X7 != domain(X11), % 21.40/3.13 inference(reflexivity, [assumptions([a9])], [c23])). % 21.40/3.13 % 21.40/3.13 cnf(a10, assumption, % 21.40/3.13 X7 = domain(X11)). % 21.40/3.13 cnf(c25, plain, % 21.40/3.13 $false, % 21.40/3.13 inference(reflexivity, [assumptions([a10])], [c24])). % 21.40/3.13 % 21.40/3.13 cnf(a11, assumption, % 21.40/3.13 X3 = X7). % 21.40/3.13 cnf(c26, plain, % 21.40/3.13 $false, % 21.40/3.13 inference(reflexivity, [assumptions([a11])], [c21])). % 21.40/3.13 % 21.40/3.13 cnf(c27, plain, % 21.40/3.13 $false, % 21.40/3.13 inference(constraint_solving, [ % 21.40/3.13 bind(X0, sK0), % 21.40/3.13 bind(X1, sK1), % 21.40/3.13 bind(X2, domain(addition(X0,X1))), % 21.40/3.13 bind(X3, domain(addition(X0,X1))), % 21.40/3.13 bind(X4, one), % 21.40/3.13 bind(X5, addition(X0,X1)), % 21.40/3.13 bind(X7, domain(X11)), % 21.40/3.13 bind(X6, domain(addition(X0,X1))), % 21.40/3.13 bind(X8, domain(X5)), % 21.40/3.13 bind(X9, domain(X5)), % 21.40/3.13 bind(X10, addition(X0,X1)), % 21.40/3.13 bind(X11, addition(X0,X1)) % 21.40/3.13 ], % 21.40/3.13 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11])). % 21.40/3.13 % 21.40/3.13 % SZS output end IncompleteProof 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