%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : NUM849+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 : n004.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 11:37:07 EDT 2022 % Result : Theorem 0.20s 0.57s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : NUM849+2 : TPTP v8.1.0. Released v4.1.0. % 0.10/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.33 % Computer : n004.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 : Thu Jul 7 22:17:52 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.57 % SZS status Theorem % 0.20/0.57 % SZS output begin IncompleteProof % 0.20/0.57 cnf(c0, axiom, % 0.20/0.57 vmul(vmul(vd448,vd449),sK0) = vmul(vd448,vmul(vd449,sK0))). % 0.20/0.57 cnf(c1, plain, % 0.20/0.57 vmul(vmul(vd448,vd449),sK0) = vmul(vd448,vmul(vd449,sK0)), % 0.20/0.57 inference(start, [], [c0])). % 0.20/0.57 % 0.20/0.57 cnf(c2, axiom, % 0.20/0.57 vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0)). % 0.20/0.57 cnf(a0, assumption, % 0.20/0.57 vmul(X0,X1) = vmul(vmul(vd448,vd449),sK0)). % 0.20/0.57 cnf(a1, assumption, % 0.20/0.57 vmul(vd448,vmul(vd449,sK0)) = X2). % 0.20/0.57 cnf(c3, plain, % 0.20/0.57 $false, % 0.20/0.57 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 0.20/0.57 cnf(c4, plain, % 0.20/0.57 $false, % 0.20/0.57 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 0.20/0.57 cnf(c5, plain, % 0.20/0.57 vmul(X0,vsucc(X1)) = vplus(X2,X0), % 0.20/0.57 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 0.20/0.57 % 0.20/0.57 cnf(c6, axiom, % 0.20/0.57 vmul(X3,vplus(X4,X5)) = vplus(vmul(X3,X4),vmul(X3,X5))). % 0.20/0.57 cnf(a2, assumption, % 0.20/0.57 vplus(vmul(X3,X4),vmul(X3,X5)) = vplus(X2,X0)). % 0.20/0.57 cnf(a3, assumption, % 0.20/0.57 vmul(X0,vsucc(X1)) = X6). % 0.20/0.57 cnf(c7, plain, % 0.20/0.57 $false, % 0.20/0.57 inference(strict_subterm_extension, [assumptions([a2, a3])], [c5, c6])). % 0.20/0.57 cnf(c8, plain, % 0.20/0.57 $false, % 0.20/0.57 inference(strict_subterm_extension, [assumptions([a2, a3])], [c5, c6])). % 0.20/0.57 cnf(c9, plain, % 0.20/0.57 vmul(X3,vplus(X4,X5)) = X6, % 0.20/0.57 inference(strict_subterm_extension, [assumptions([a2, a3])], [c5, c6])). % 0.20/0.57 % 0.20/0.57 cnf(c10, axiom, % 0.20/0.57 vmul(X7,vsucc(X8)) = vplus(vmul(X7,X8),X7)). % 0.20/0.57 cnf(a4, assumption, % 0.20/0.57 vplus(X4,X5) = vplus(vmul(X7,X8),X7)). % 0.20/0.57 cnf(c11, plain, % 0.20/0.57 $false, % 0.20/0.57 inference(strict_function_extension, [assumptions([a4])], [c9, c10])). % 0.20/0.57 cnf(c12, plain, % 0.20/0.57 $false, % 0.20/0.57 inference(strict_function_extension, [assumptions([a4])], [c9, c10])). % 0.20/0.57 cnf(c13, plain, % 0.20/0.57 X9 != vmul(X7,vsucc(X8)) | vmul(X3,X9) = X6, % 0.20/0.57 inference(strict_function_extension, [assumptions([a4])], [c9, c10])). % 0.20/0.57 % 0.20/0.57 cnf(a5, assumption, % 0.20/0.57 X9 = vmul(X7,vsucc(X8))). % 0.20/0.57 cnf(c14, plain, % 0.20/0.57 vmul(X3,X9) = X6, % 0.20/0.57 inference(reflexivity, [assumptions([a5])], [c13])). % 0.20/0.57 % 0.20/0.57 cnf(c15, axiom, % 0.20/0.57 vmul(vmul(vd448,vd449),vsucc(sK0)) != vmul(vd448,vmul(vd449,vsucc(sK0)))). % 0.20/0.57 cnf(a6, assumption, % 0.20/0.57 vmul(vmul(vd448,vd449),vsucc(sK0)) = X6). % 0.20/0.57 cnf(a7, assumption, % 0.20/0.57 vmul(X3,X9) = X10). % 0.20/0.57 cnf(c16, plain, % 0.20/0.57 $false, % 0.20/0.57 inference(strict_subterm_extension, [assumptions([a6, a7])], [c14, c15])). % 0.20/0.57 cnf(c17, plain, % 0.20/0.57 $false, % 0.20/0.57 inference(strict_subterm_extension, [assumptions([a6, a7])], [c14, c15])). % 0.20/0.57 cnf(c18, plain, % 0.20/0.57 X10 != vmul(vd448,vmul(vd449,vsucc(sK0))), % 0.20/0.57 inference(strict_subterm_extension, [assumptions([a6, a7])], [c14, c15])). % 0.20/0.57 % 0.20/0.57 cnf(a8, assumption, % 0.20/0.57 X10 = vmul(vd448,vmul(vd449,vsucc(sK0)))). % 0.20/0.57 cnf(c19, plain, % 0.20/0.57 $false, % 0.20/0.57 inference(reflexivity, [assumptions([a8])], [c18])). % 0.20/0.57 % 0.20/0.57 cnf(c20, plain, % 0.20/0.57 $false, % 0.20/0.57 inference(constraint_solving, [ % 0.20/0.57 bind(X0, vmul(vd448,vd449)), % 0.20/0.57 bind(X1, sK0), % 0.20/0.57 bind(X2, vmul(vd448,vmul(vd449,sK0))), % 0.20/0.57 bind(X3, vd448), % 0.20/0.57 bind(X4, vmul(vd449,sK0)), % 0.20/0.57 bind(X5, vd449), % 0.20/0.57 bind(X6, vmul(X0,vsucc(X1))), % 0.20/0.57 bind(X7, vd449), % 0.20/0.57 bind(X8, sK0), % 0.20/0.57 bind(X9, vmul(X7,vsucc(X8))), % 0.20/0.57 bind(X10, vmul(X3,X9)) % 0.20/0.57 ], % 0.20/0.57 [a0, a1, a2, a3, a4, a5, a6, a7, a8])). % 0.20/0.57 % 0.20/0.57 % SZS output end IncompleteProof %------------------------------------------------------------------------------