%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SWX186-1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n013.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 : 300s % DateTime : Tue May 5 07:03:21 PM UTC 2026 % Result : Unsatisfiable 29.79s 4.21s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX186-1 : TPTP v9.3.0. Released v9.3.0. % 0.13/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.17/0.35 % Computer : n013.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue May 5 09:38:25 EDT 2026 % 0.17/0.35 % CPUTime : % 29.79/4.21 % SZS status Unsatisfiable % 29.79/4.21 % SZS output begin IncompleteProof % 29.79/4.21 cnf(c0, axiom, % 29.79/4.21 btrue != eq3(impl(eq(drop(X0,X1),drop(X0,X2)),eq(X1,X2)),bfalse)). % 29.79/4.21 cnf(c1, plain, % 29.79/4.21 btrue != eq3(impl(eq(drop(X0,X1),drop(X0,X2)),eq(X1,X2)),bfalse), % 29.79/4.21 inference(start, [], [c0])). % 29.79/4.21 % 29.79/4.21 cnf(c2, axiom, % 29.79/4.21 drop(s(X3),cons(X4,X5)) = drop(X3,X5)). % 29.79/4.21 cnf(a0, assumption, % 29.79/4.21 drop(X0,X1) = drop(s(X3),cons(X4,X5))). % 29.79/4.21 cnf(c3, plain, % 29.79/4.21 $false, % 29.79/4.21 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 29.79/4.21 cnf(c4, plain, % 29.79/4.21 $false, % 29.79/4.21 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 29.79/4.21 cnf(c5, plain, % 29.79/4.21 X6 != drop(X3,X5) | btrue != eq3(impl(eq(X6,drop(X0,X2)),eq(X1,X2)),bfalse), % 29.79/4.21 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 29.79/4.21 % 29.79/4.21 cnf(c6, axiom, % 29.79/4.21 drop(z,X7) = X7). % 29.79/4.21 cnf(a1, assumption, % 29.79/4.21 drop(X3,X5) = drop(z,X7)). % 29.79/4.21 cnf(c7, plain, % 29.79/4.21 btrue != eq3(impl(eq(X6,drop(X0,X2)),eq(X1,X2)),bfalse), % 29.79/4.21 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 29.79/4.21 cnf(c8, plain, % 29.79/4.21 $false, % 29.79/4.21 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 29.79/4.21 cnf(c9, plain, % 29.79/4.21 X8 != X7 | X6 != X8, % 29.79/4.21 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 29.79/4.21 % 29.79/4.21 cnf(a2, assumption, % 29.79/4.21 X8 = X7). % 29.79/4.21 cnf(c10, plain, % 29.79/4.21 X6 != X8, % 29.79/4.21 inference(reflexivity, [assumptions([a2])], [c9])). % 29.79/4.21 % 29.79/4.21 cnf(a3, assumption, % 29.79/4.21 X6 = X8). % 29.79/4.21 cnf(c11, plain, % 29.79/4.21 $false, % 29.79/4.21 inference(reflexivity, [assumptions([a3])], [c10])). % 29.79/4.21 % 29.79/4.21 cnf(c12, axiom, % 29.79/4.21 btrue = eq(X9,X9)). % 29.79/4.21 cnf(a4, assumption, % 29.79/4.21 eq(X6,drop(X0,X2)) = eq(X9,X9)). % 29.79/4.21 cnf(c13, plain, % 29.79/4.21 $false, % 29.79/4.21 inference(strict_function_extension, [assumptions([a4])], [c7, c12])). % 29.79/4.21 cnf(c14, plain, % 29.79/4.21 $false, % 29.79/4.21 inference(strict_function_extension, [assumptions([a4])], [c7, c12])). % 29.79/4.21 cnf(c15, plain, % 29.79/4.21 X10 != btrue | btrue != eq3(impl(X10,eq(X1,X2)),bfalse), % 29.79/4.21 inference(strict_function_extension, [assumptions([a4])], [c7, c12])). % 29.79/4.21 % 29.79/4.21 cnf(a5, assumption, % 29.79/4.21 X10 = btrue). % 29.79/4.21 cnf(c16, plain, % 29.79/4.21 btrue != eq3(impl(X10,eq(X1,X2)),bfalse), % 29.79/4.21 inference(reflexivity, [assumptions([a5])], [c15])). % 29.79/4.21 % 29.79/4.21 cnf(c17, axiom, % 29.79/4.21 bfalse = eq(cons(X11,X12),nil)). % 29.79/4.21 cnf(a6, assumption, % 29.79/4.21 eq(X1,X2) = eq(cons(X11,X12),nil)). % 29.79/4.21 cnf(c18, plain, % 29.79/4.21 $false, % 29.79/4.21 inference(strict_function_extension, [assumptions([a6])], [c16, c17])). % 29.79/4.21 cnf(c19, plain, % 29.79/4.21 $false, % 29.79/4.21 inference(strict_function_extension, [assumptions([a6])], [c16, c17])). % 29.79/4.21 cnf(c20, plain, % 29.79/4.21 X13 != bfalse | btrue != eq3(impl(X10,X13),bfalse), % 29.79/4.21 inference(strict_function_extension, [assumptions([a6])], [c16, c17])). % 29.79/4.21 % 29.79/4.21 cnf(a7, assumption, % 29.79/4.21 X13 = bfalse). % 29.79/4.21 cnf(c21, plain, % 29.79/4.21 btrue != eq3(impl(X10,X13),bfalse), % 29.79/4.21 inference(reflexivity, [assumptions([a7])], [c20])). % 29.79/4.21 % 29.79/4.21 cnf(c22, axiom, % 29.79/4.21 impl(btrue,X14) = X14). % 29.79/4.21 cnf(a8, assumption, % 29.79/4.21 impl(X10,X13) = impl(btrue,X14)). % 29.79/4.21 cnf(c23, plain, % 29.79/4.21 $false, % 29.79/4.21 inference(strict_function_extension, [assumptions([a8])], [c21, c22])). % 29.79/4.21 cnf(c24, plain, % 29.79/4.21 $false, % 29.79/4.21 inference(strict_function_extension, [assumptions([a8])], [c21, c22])). % 29.79/4.21 cnf(c25, plain, % 29.79/4.21 X15 != X14 | btrue != eq3(X15,bfalse), % 29.79/4.21 inference(strict_function_extension, [assumptions([a8])], [c21, c22])). % 29.79/4.21 % 29.79/4.21 cnf(a9, assumption, % 29.79/4.21 X15 = X14). % 29.79/4.21 cnf(c26, plain, % 29.79/4.21 btrue != eq3(X15,bfalse), % 29.79/4.21 inference(reflexivity, [assumptions([a9])], [c25])). % 29.79/4.21 % 29.79/4.21 cnf(c27, axiom, % 29.79/4.21 btrue = eq3(X16,X16)). % 29.79/4.21 cnf(a10, assumption, % 29.79/4.21 eq3(X15,bfalse) = eq3(X16,X16)). % 29.79/4.21 cnf(c28, plain, % 29.79/4.21 $false, % 29.79/4.21 inference(strict_function_extension, [assumptions([a10])], [c26, c27])). % 29.79/4.21 cnf(c29, plain, % 29.79/4.21 $false, % 29.79/4.21 inference(strict_function_extension, [assumptions([a10])], [c26, c27])). % 29.79/4.21 cnf(c30, plain, % 29.79/4.21 X17 != btrue | btrue != X17, % 29.79/4.21 inference(strict_function_extension, [assumptions([a10])], [c26, c27])). % 29.79/4.21 % 29.79/4.21 cnf(a11, assumption, % 29.79/4.21 X17 = btrue). % 29.79/4.21 cnf(c31, plain, % 29.79/4.21 btrue != X17, % 29.79/4.21 inference(reflexivity, [assumptions([a11])], [c30])). % 29.79/4.21 % 29.79/4.21 cnf(a12, assumption, % 29.79/4.21 btrue = X17). % 29.79/4.21 cnf(c32, plain, % 29.79/4.21 $false, % 29.79/4.21 inference(reflexivity, [assumptions([a12])], [c31])). % 29.79/4.21 % 29.79/4.21 cnf(c33, plain, % 29.79/4.21 $false, % 29.79/4.21 inference(constraint_solving, [ % 29.79/4.21 bind(X0, s(X3)), % 29.79/4.21 bind(X1, cons(X4,X5)), % 29.79/4.21 bind(X2, nil), % 29.79/4.21 bind(X3, z), % 29.79/4.21 bind(X4, X11), % 29.79/4.21 bind(X5, drop(X0,X2)), % 29.79/4.21 bind(X6, drop(X0,X2)), % 29.79/4.21 bind(X7, drop(X0,X2)), % 29.79/4.21 bind(X8, drop(X0,X2)), % 29.79/4.21 bind(X9, drop(X0,X2)), % 29.79/4.21 bind(X10, btrue), % 29.79/4.21 bind(X11, X11), % 29.79/4.21 bind(X12, drop(X0,X2)), % 29.79/4.21 bind(X13, bfalse), % 29.79/4.21 bind(X14, bfalse), % 29.79/4.21 bind(X15, bfalse), % 29.79/4.21 bind(X16, bfalse), % 29.79/4.21 bind(X17, btrue) % 29.79/4.21 ], % 29.79/4.21 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12])). % 29.79/4.21 % 29.79/4.21 % SZS output end IncompleteProof %------------------------------------------------------------------------------