%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : NUM603+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 : n011.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 11:34:24 EDT 2022 % Result : Theorem 3.11s 0.84s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : NUM603+1 : TPTP v8.1.0. Released v4.0.0. % 0.13/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.34 % Computer : n011.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 Jul 5 17:10:07 EDT 2022 % 0.13/0.35 % CPUTime : % 3.11/0.84 % SZS status Theorem % 3.11/0.84 % SZS output begin IncompleteProof % 3.11/0.84 cnf(c0, axiom, % 3.11/0.84 ~aSubsetOf0(sdtlpdtrp0(xN,xi),xS)). % 3.11/0.84 cnf(c1, plain, % 3.11/0.84 ~aSubsetOf0(sdtlpdtrp0(xN,xi),xS), % 3.11/0.84 inference(start, [], [c0])). % 3.11/0.84 % 3.11/0.84 cnf(c2, axiom, % 3.11/0.84 aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) | ~sdtlseqdt0(X1,X0) | ~aElementOf0(X1,szNzAzT0) | ~aElementOf0(X0,szNzAzT0)). % 3.11/0.84 cnf(a0, assumption, % 3.11/0.84 X2 = sdtlpdtrp0(xN,xi)). % 3.11/0.84 cnf(a1, assumption, % 3.11/0.84 X3 = xS). % 3.11/0.84 cnf(c3, plain, % 3.11/0.84 $false, % 3.11/0.84 inference(lazy_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 3.11/0.84 cnf(c4, plain, % 3.11/0.84 ~sdtlseqdt0(X1,X0) | ~aElementOf0(X1,szNzAzT0) | ~aElementOf0(X0,szNzAzT0), % 3.11/0.84 inference(lazy_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 3.11/0.84 cnf(c5, plain, % 3.11/0.84 sdtlpdtrp0(xN,X0) != X2 | sdtlpdtrp0(xN,X1) != X3, % 3.11/0.84 inference(lazy_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 3.11/0.84 % 3.11/0.84 cnf(a2, assumption, % 3.11/0.84 sdtlpdtrp0(xN,X0) = X2). % 3.11/0.84 cnf(c6, plain, % 3.11/0.84 sdtlpdtrp0(xN,X1) != X3, % 3.11/0.84 inference(reflexivity, [assumptions([a2])], [c5])). % 3.11/0.84 % 3.11/0.84 cnf(c7, axiom, % 3.11/0.84 xS = sdtlpdtrp0(xN,sz00)). % 3.11/0.84 cnf(a3, assumption, % 3.11/0.84 sdtlpdtrp0(xN,X1) = sdtlpdtrp0(xN,sz00)). % 3.11/0.84 cnf(c8, plain, % 3.11/0.84 $false, % 3.11/0.84 inference(strict_function_extension, [assumptions([a3])], [c6, c7])). % 3.11/0.84 cnf(c9, plain, % 3.11/0.84 $false, % 3.11/0.84 inference(strict_function_extension, [assumptions([a3])], [c6, c7])). % 3.11/0.84 cnf(c10, plain, % 3.11/0.84 X4 != xS | X4 != X3, % 3.11/0.84 inference(strict_function_extension, [assumptions([a3])], [c6, c7])). % 3.11/0.84 % 3.11/0.84 cnf(a4, assumption, % 3.11/0.84 X4 = xS). % 3.11/0.84 cnf(c11, plain, % 3.11/0.84 X4 != X3, % 3.11/0.84 inference(reflexivity, [assumptions([a4])], [c10])). % 3.11/0.84 % 3.11/0.84 cnf(a5, assumption, % 3.11/0.84 X4 = X3). % 3.11/0.84 cnf(c12, plain, % 3.11/0.84 $false, % 3.11/0.84 inference(reflexivity, [assumptions([a5])], [c11])). % 3.11/0.84 % 3.11/0.84 cnf(c13, axiom, % 3.11/0.84 sdtlseqdt0(sz00,X5) | ~aElementOf0(X5,szNzAzT0)). % 3.11/0.84 cnf(a6, assumption, % 3.11/0.84 X1 = sz00). % 3.11/0.84 cnf(a7, assumption, % 3.11/0.84 X0 = X5). % 3.11/0.84 cnf(c14, plain, % 3.11/0.84 ~aElementOf0(X1,szNzAzT0) | ~aElementOf0(X0,szNzAzT0), % 3.11/0.84 inference(strict_predicate_extension, [assumptions([a6, a7])], [c4, c13])). % 3.11/0.84 cnf(c15, plain, % 3.11/0.84 ~aElementOf0(X5,szNzAzT0), % 3.11/0.84 inference(strict_predicate_extension, [assumptions([a6, a7])], [c4, c13])). % 3.11/0.84 % 3.11/0.84 cnf(c16, axiom, % 3.11/0.84 aElementOf0(xi,szNzAzT0)). % 3.11/0.84 cnf(a8, assumption, % 3.11/0.84 X5 = xi). % 3.11/0.84 cnf(a9, assumption, % 3.11/0.84 szNzAzT0 = szNzAzT0). % 3.11/0.84 cnf(c17, plain, % 3.11/0.84 $false, % 3.11/0.84 inference(strict_predicate_extension, [assumptions([a8, a9])], [c15, c16])). % 3.11/0.84 cnf(c18, plain, % 3.11/0.84 $false, % 3.11/0.84 inference(strict_predicate_extension, [assumptions([a8, a9])], [c15, c16])). % 3.11/0.84 % 3.11/0.84 cnf(c19, axiom, % 3.11/0.84 aElementOf0(sz00,szNzAzT0)). % 3.11/0.84 cnf(a10, assumption, % 3.11/0.84 X1 = sz00). % 3.11/0.84 cnf(a11, assumption, % 3.11/0.84 szNzAzT0 = szNzAzT0). % 3.11/0.84 cnf(c20, plain, % 3.11/0.84 ~aElementOf0(X0,szNzAzT0), % 3.11/0.84 inference(strict_predicate_extension, [assumptions([a10, a11])], [c14, c19])). % 3.11/0.84 cnf(c21, plain, % 3.11/0.84 $false, % 3.11/0.84 inference(strict_predicate_extension, [assumptions([a10, a11])], [c14, c19])). % 3.11/0.84 % 3.11/0.84 cnf(c22, plain, % 3.11/0.84 aElementOf0(X5,szNzAzT0)). % 3.11/0.84 cnf(a12, assumption, % 3.11/0.84 X0 = X5). % 3.11/0.84 cnf(a13, assumption, % 3.11/0.84 szNzAzT0 = szNzAzT0). % 3.11/0.84 cnf(c23, plain, % 3.11/0.84 $false, % 3.11/0.84 inference(predicate_reduction, [assumptions([a12, a13])], [c20, c22])). % 3.11/0.84 % 3.11/0.84 cnf(c24, plain, % 3.11/0.84 $false, % 3.11/0.84 inference(constraint_solving, [ % 3.11/0.84 bind(X0, xi), % 3.11/0.84 bind(X1, sz00), % 3.11/0.84 bind(X2, sdtlpdtrp0(xN,xi)), % 3.11/0.84 bind(X3, xS), % 3.11/0.84 bind(X4, xS), % 3.11/0.84 bind(X5, xi) % 3.11/0.84 ], % 3.11/0.84 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13])). % 3.11/0.84 % 3.11/0.84 % SZS output end IncompleteProof %------------------------------------------------------------------------------