%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : RNG123+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 : n026.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 20:33:35 EDT 2022 % Result : Theorem 5.34s 1.13s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : RNG123+1 : TPTP v8.1.0. Released v4.0.0. % 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 : n026.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 : Mon May 30 13:54:40 EDT 2022 % 0.13/0.35 % CPUTime : % 5.34/1.13 % SZS status Theorem % 5.34/1.13 % SZS output begin IncompleteProof % 5.34/1.13 cnf(c0, axiom, % 5.34/1.13 ~aElementOf0(xr,xI)). % 5.34/1.13 cnf(c1, plain, % 5.34/1.13 ~aElementOf0(xr,xI), % 5.34/1.13 inference(start, [], [c0])). % 5.34/1.13 % 5.34/1.13 cnf(c2, axiom, % 5.34/1.13 aElementOf0(sdtpldt0(X0,X1),X2) | ~aElementOf0(X1,X2) | ~sP9(X2,X0)). % 5.34/1.13 cnf(a0, assumption, % 5.34/1.13 X3 = xr). % 5.34/1.13 cnf(a1, assumption, % 5.34/1.13 X4 = xI). % 5.34/1.13 cnf(c3, plain, % 5.34/1.13 $false, % 5.34/1.13 inference(lazy_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 5.34/1.13 cnf(c4, plain, % 5.34/1.13 ~aElementOf0(X1,X2) | ~sP9(X2,X0), % 5.34/1.13 inference(lazy_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 5.34/1.13 cnf(c5, plain, % 5.34/1.13 sdtpldt0(X0,X1) != X3 | X2 != X4, % 5.34/1.13 inference(lazy_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 5.34/1.13 % 5.34/1.13 cnf(c6, axiom, % 5.34/1.13 xr = sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb)). % 5.34/1.13 cnf(a2, assumption, % 5.34/1.13 sdtpldt0(X0,X1) = sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb)). % 5.34/1.13 cnf(c7, plain, % 5.34/1.13 X2 != X4, % 5.34/1.13 inference(strict_function_extension, [assumptions([a2])], [c5, c6])). % 5.34/1.13 cnf(c8, plain, % 5.34/1.13 $false, % 5.34/1.13 inference(strict_function_extension, [assumptions([a2])], [c5, c6])). % 5.34/1.13 cnf(c9, plain, % 5.34/1.13 X5 != xr | X5 != X3, % 5.34/1.13 inference(strict_function_extension, [assumptions([a2])], [c5, c6])). % 5.34/1.13 % 5.34/1.13 cnf(a3, assumption, % 5.34/1.13 X5 = xr). % 5.34/1.13 cnf(c10, plain, % 5.34/1.13 X5 != X3, % 5.34/1.13 inference(reflexivity, [assumptions([a3])], [c9])). % 5.34/1.13 % 5.34/1.13 cnf(a4, assumption, % 5.34/1.13 X5 = X3). % 5.34/1.13 cnf(c11, plain, % 5.34/1.13 $false, % 5.34/1.13 inference(reflexivity, [assumptions([a4])], [c10])). % 5.34/1.13 % 5.34/1.13 cnf(a5, assumption, % 5.34/1.13 X2 = X4). % 5.34/1.13 cnf(c12, plain, % 5.34/1.13 $false, % 5.34/1.13 inference(reflexivity, [assumptions([a5])], [c7])). % 5.34/1.13 % 5.34/1.13 cnf(c13, axiom, % 5.34/1.13 aElementOf0(xb,xI)). % 5.34/1.13 cnf(a6, assumption, % 5.34/1.13 X1 = xb). % 5.34/1.13 cnf(a7, assumption, % 5.34/1.13 X2 = xI). % 5.34/1.13 cnf(c14, plain, % 5.34/1.13 ~sP9(X2,X0), % 5.34/1.13 inference(strict_predicate_extension, [assumptions([a6, a7])], [c4, c13])). % 5.34/1.13 cnf(c15, plain, % 5.34/1.13 $false, % 5.34/1.13 inference(strict_predicate_extension, [assumptions([a6, a7])], [c4, c13])). % 5.34/1.13 % 5.34/1.13 cnf(c16, axiom, % 5.34/1.13 sP9(X6,X7) | ~sP10(X6,X7)). % 5.34/1.13 cnf(a8, assumption, % 5.34/1.13 X2 = X6). % 5.34/1.13 cnf(a9, assumption, % 5.34/1.13 X0 = X7). % 5.34/1.13 cnf(c17, plain, % 5.34/1.13 $false, % 5.34/1.13 inference(strict_predicate_extension, [assumptions([a8, a9])], [c14, c16])). % 5.34/1.13 cnf(c18, plain, % 5.34/1.13 ~sP10(X6,X7), % 5.34/1.13 inference(strict_predicate_extension, [assumptions([a8, a9])], [c14, c16])). % 5.34/1.13 % 5.34/1.13 cnf(c19, axiom, % 5.34/1.13 sP10(X8,X9) | ~aElementOf0(X9,X8) | ~sP11(X8)). % 5.34/1.13 cnf(a10, assumption, % 5.34/1.13 X6 = X8). % 5.34/1.13 cnf(a11, assumption, % 5.34/1.13 X7 = X9). % 5.34/1.13 cnf(c20, plain, % 5.34/1.13 $false, % 5.34/1.13 inference(strict_predicate_extension, [assumptions([a10, a11])], [c18, c19])). % 5.34/1.13 cnf(c21, plain, % 5.34/1.13 ~aElementOf0(X9,X8) | ~sP11(X8), % 5.34/1.13 inference(strict_predicate_extension, [assumptions([a10, a11])], [c18, c19])). % 5.34/1.13 % 5.34/1.13 cnf(c22, axiom, % 5.34/1.13 aElementOf0(smndt0(sdtasdt0(xq,xu)),xI)). % 5.34/1.13 cnf(a12, assumption, % 5.34/1.13 X9 = smndt0(sdtasdt0(xq,xu))). % 5.34/1.13 cnf(a13, assumption, % 5.34/1.13 X8 = xI). % 5.34/1.13 cnf(c23, plain, % 5.34/1.13 ~sP11(X8), % 5.34/1.13 inference(strict_predicate_extension, [assumptions([a12, a13])], [c21, c22])). % 5.34/1.13 cnf(c24, plain, % 5.34/1.13 $false, % 5.34/1.13 inference(strict_predicate_extension, [assumptions([a12, a13])], [c21, c22])). % 5.34/1.13 % 5.34/1.13 cnf(c25, axiom, % 5.34/1.13 sP11(X10) | ~aIdeal0(X10)). % 5.34/1.13 cnf(a14, assumption, % 5.34/1.13 X8 = X10). % 5.34/1.13 cnf(c26, plain, % 5.34/1.13 $false, % 5.34/1.13 inference(strict_predicate_extension, [assumptions([a14])], [c23, c25])). % 5.34/1.13 cnf(c27, plain, % 5.34/1.13 ~aIdeal0(X10), % 5.34/1.13 inference(strict_predicate_extension, [assumptions([a14])], [c23, c25])). % 5.34/1.13 % 5.34/1.13 cnf(c28, axiom, % 5.34/1.13 aIdeal0(xI)). % 5.34/1.13 cnf(a15, assumption, % 5.34/1.13 X10 = xI). % 5.34/1.13 cnf(c29, plain, % 5.34/1.13 $false, % 5.34/1.13 inference(strict_predicate_extension, [assumptions([a15])], [c27, c28])). % 5.34/1.13 cnf(c30, plain, % 5.34/1.13 $false, % 5.34/1.13 inference(strict_predicate_extension, [assumptions([a15])], [c27, c28])). % 5.34/1.13 % 5.34/1.13 cnf(c31, plain, % 5.34/1.13 $false, % 5.34/1.13 inference(constraint_solving, [ % 5.34/1.13 bind(X0, smndt0(sdtasdt0(xq,xu))), % 5.34/1.13 bind(X1, xb), % 5.34/1.13 bind(X2, xI), % 5.34/1.13 bind(X3, xr), % 5.34/1.13 bind(X4, xI), % 5.34/1.13 bind(X5, xr), % 5.34/1.13 bind(X6, xI), % 5.34/1.13 bind(X7, smndt0(sdtasdt0(xq,xu))), % 5.34/1.13 bind(X8, xI), % 5.34/1.13 bind(X9, smndt0(sdtasdt0(xq,xu))), % 5.34/1.13 bind(X10, xI) % 5.34/1.13 ], % 5.34/1.13 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15])). % 5.34/1.13 % 5.34/1.13 % SZS output end IncompleteProof %------------------------------------------------------------------------------