%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : NUM851+2 : TPTP v8.1.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n007.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 : Mon Jul 18 11:37:08 EDT 2022 % Result : Theorem 4.61s 0.94s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : NUM851+2 : TPTP v8.1.0. Released v4.1.0. % 0.03/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.33 % Computer : n007.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Tue Jul 5 13:54:27 EDT 2022 % 0.13/0.33 % CPUTime : % 4.61/0.94 % SZS status Theorem % 4.61/0.94 % SZS output begin IncompleteProof % 4.61/0.94 cnf(c0, axiom, % 4.61/0.94 vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469))). % 4.61/0.94 cnf(c1, plain, % 4.61/0.94 vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)), % 4.61/0.94 inference(start, [], [c0])). % 4.61/0.94 % 4.61/0.94 cnf(c2, axiom, % 4.61/0.94 vmul(X0,X1) = vmul(X1,X0)). % 4.61/0.94 cnf(a0, assumption, % 4.61/0.94 vmul(vplus(vd471,vd473),vd469) = vmul(X1,X0)). % 4.61/0.94 cnf(c3, plain, % 4.61/0.94 $false, % 4.61/0.94 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 4.61/0.94 cnf(c4, plain, % 4.61/0.94 $false, % 4.61/0.94 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 4.61/0.94 cnf(c5, plain, % 4.61/0.94 X2 != vmul(X0,X1) | X2 != vplus(vmul(vd471,vd469),vmul(vd473,vd469)), % 4.61/0.94 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 4.61/0.94 % 4.61/0.94 cnf(c6, axiom, % 4.61/0.94 vmul(X3,vplus(X4,X5)) = vplus(vmul(X3,X4),vmul(X3,X5))). % 4.61/0.94 cnf(a1, assumption, % 4.61/0.94 vmul(X0,X1) = vmul(X3,vplus(X4,X5))). % 4.61/0.94 cnf(c7, plain, % 4.61/0.94 X2 != vplus(vmul(vd471,vd469),vmul(vd473,vd469)), % 4.61/0.94 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 4.61/0.94 cnf(c8, plain, % 4.61/0.94 $false, % 4.61/0.94 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 4.61/0.94 cnf(c9, plain, % 4.61/0.94 X6 != vplus(vmul(X3,X4),vmul(X3,X5)) | X2 != X6, % 4.61/0.94 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 4.61/0.94 % 4.61/0.94 cnf(c10, axiom, % 4.61/0.94 vmul(X7,X8) = vmul(X8,X7)). % 4.61/0.94 cnf(a2, assumption, % 4.61/0.94 vmul(X3,X4) = vmul(X7,X8)). % 4.61/0.94 cnf(c11, plain, % 4.61/0.94 X2 != X6, % 4.61/0.94 inference(strict_function_extension, [assumptions([a2])], [c9, c10])). % 4.61/0.94 cnf(c12, plain, % 4.61/0.94 $false, % 4.61/0.94 inference(strict_function_extension, [assumptions([a2])], [c9, c10])). % 4.61/0.94 cnf(c13, plain, % 4.61/0.94 X9 != vmul(X8,X7) | X6 != vplus(X9,vmul(X3,X5)), % 4.61/0.94 inference(strict_function_extension, [assumptions([a2])], [c9, c10])). % 4.61/0.94 % 4.61/0.94 cnf(a3, assumption, % 4.61/0.94 X9 = vmul(X8,X7)). % 4.61/0.94 cnf(c14, plain, % 4.61/0.94 X6 != vplus(X9,vmul(X3,X5)), % 4.61/0.94 inference(reflexivity, [assumptions([a3])], [c13])). % 4.61/0.94 % 4.61/0.94 cnf(c15, axiom, % 4.61/0.94 vmul(X10,X11) = vmul(X11,X10)). % 4.61/0.94 cnf(a4, assumption, % 4.61/0.94 vmul(X3,X5) = vmul(X11,X10)). % 4.61/0.94 cnf(c16, plain, % 4.61/0.94 $false, % 4.61/0.94 inference(strict_function_extension, [assumptions([a4])], [c14, c15])). % 4.61/0.94 cnf(c17, plain, % 4.61/0.94 $false, % 4.61/0.94 inference(strict_function_extension, [assumptions([a4])], [c14, c15])). % 4.61/0.94 cnf(c18, plain, % 4.61/0.94 X12 != vmul(X10,X11) | X6 != vplus(X9,X12), % 4.61/0.94 inference(strict_function_extension, [assumptions([a4])], [c14, c15])). % 4.61/0.94 % 4.61/0.94 cnf(a5, assumption, % 4.61/0.94 X12 = vmul(X10,X11)). % 4.61/0.94 cnf(c19, plain, % 4.61/0.94 X6 != vplus(X9,X12), % 4.61/0.94 inference(reflexivity, [assumptions([a5])], [c18])). % 4.61/0.94 % 4.61/0.94 cnf(a6, assumption, % 4.61/0.94 X6 = vplus(X9,X12)). % 4.61/0.94 cnf(c20, plain, % 4.61/0.94 $false, % 4.61/0.94 inference(reflexivity, [assumptions([a6])], [c19])). % 4.61/0.94 % 4.61/0.94 cnf(a7, assumption, % 4.61/0.94 X2 = X6). % 4.61/0.94 cnf(c21, plain, % 4.61/0.94 $false, % 4.61/0.94 inference(reflexivity, [assumptions([a7])], [c11])). % 4.61/0.94 % 4.61/0.94 cnf(a8, assumption, % 4.61/0.94 X2 = vplus(vmul(vd471,vd469),vmul(vd473,vd469))). % 4.61/0.94 cnf(c22, plain, % 4.61/0.94 $false, % 4.61/0.94 inference(reflexivity, [assumptions([a8])], [c7])). % 4.61/0.94 % 4.61/0.94 cnf(c23, plain, % 4.61/0.94 $false, % 4.61/0.94 inference(constraint_solving, [ % 4.61/0.94 bind(X0, vd469), % 4.61/0.94 bind(X1, vplus(vd471,vd473)), % 4.61/0.94 bind(X2, vplus(X9,X12)), % 4.61/0.94 bind(X3, vd469), % 4.61/0.94 bind(X4, vd471), % 4.61/0.94 bind(X5, vd473), % 4.61/0.94 bind(X6, vplus(X9,X12)), % 4.61/0.94 bind(X7, vd469), % 4.61/0.94 bind(X8, vd471), % 4.61/0.94 bind(X9, vmul(X8,X7)), % 4.61/0.94 bind(X10, vd473), % 4.61/0.94 bind(X11, vd469), % 4.61/0.94 bind(X12, vmul(X10,X11)) % 4.61/0.94 ], % 4.61/0.94 [a0, a1, a2, a3, a4, a5, a6, a7, a8])). % 4.61/0.94 % 4.61/0.94 % SZS output end IncompleteProof 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