%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : COL002-3 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n028.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 : Fri Jul 15 00:33:52 EDT 2022 % Result : Unsatisfiable 38.17s 5.20s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : COL002-3 : TPTP v8.1.0. Released v1.0.0. % 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.34 % Computer : n028.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 May 31 04:32:05 EDT 2022 % 0.13/0.34 % CPUTime : % 38.17/5.20 % SZS status Unsatisfiable % 38.17/5.20 % SZS output begin IncompleteProof % 38.17/5.20 cnf(c0, axiom, % 38.17/5.20 ~fixed_point(apply(apply(apply(s,apply(c,apply(b,X0))),apply(s,apply(c,apply(b,X0)))),apply(s,apply(c,apply(b,X0)))))). % 38.17/5.20 cnf(c1, plain, % 38.17/5.20 ~fixed_point(apply(apply(apply(s,apply(c,apply(b,X0))),apply(s,apply(c,apply(b,X0)))),apply(s,apply(c,apply(b,X0))))), % 38.17/5.20 inference(start, [], [c0])). % 38.17/5.20 % 38.17/5.20 cnf(c2, axiom, % 38.17/5.20 apply(apply(apply(s,X1),X2),X3) = apply(apply(X1,X3),apply(X2,X3))). % 38.17/5.20 cnf(a0, assumption, % 38.17/5.20 apply(apply(apply(s,apply(c,apply(b,X0))),apply(s,apply(c,apply(b,X0)))),apply(s,apply(c,apply(b,X0)))) = apply(apply(apply(s,X1),X2),X3)). % 38.17/5.20 cnf(c3, plain, % 38.17/5.20 $false, % 38.17/5.20 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 38.17/5.20 cnf(c4, plain, % 38.17/5.20 $false, % 38.17/5.20 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 38.17/5.20 cnf(c5, plain, % 38.17/5.20 X4 != apply(apply(X1,X3),apply(X2,X3)) | ~fixed_point(X4), % 38.17/5.20 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 38.17/5.20 % 38.17/5.20 cnf(a1, assumption, % 38.17/5.20 X4 = apply(apply(X1,X3),apply(X2,X3))). % 38.17/5.20 cnf(c6, plain, % 38.17/5.20 ~fixed_point(X4), % 38.17/5.20 inference(reflexivity, [assumptions([a1])], [c5])). % 38.17/5.20 % 38.17/5.20 cnf(c7, axiom, % 38.17/5.20 fixed_point(X5) | apply(fixed_pt,X5) != X5). % 38.17/5.20 cnf(a2, assumption, % 38.17/5.20 X4 = X5). % 38.17/5.20 cnf(c8, plain, % 38.17/5.20 $false, % 38.17/5.20 inference(strict_predicate_extension, [assumptions([a2])], [c6, c7])). % 38.17/5.20 cnf(c9, plain, % 38.17/5.20 apply(fixed_pt,X5) != X5, % 38.17/5.20 inference(strict_predicate_extension, [assumptions([a2])], [c6, c7])). % 38.17/5.20 % 38.17/5.20 cnf(c10, axiom, % 38.17/5.20 apply(apply(apply(b,X6),X7),X8) = apply(X6,apply(X7,X8))). % 38.17/5.20 cnf(a3, assumption, % 38.17/5.20 apply(X9,X10) = apply(fixed_pt,X5)). % 38.17/5.20 cnf(c11, plain, % 38.17/5.20 $false, % 38.17/5.20 inference(lazy_function_extension, [assumptions([a3])], [c9, c10])). % 38.17/5.20 cnf(c12, plain, % 38.17/5.20 $false, % 38.17/5.20 inference(lazy_function_extension, [assumptions([a3])], [c9, c10])). % 38.17/5.20 cnf(c13, plain, % 38.17/5.20 X9 != X6 | X10 != apply(X7,X8) | X11 != apply(apply(apply(b,X6),X7),X8) | X11 != X5, % 38.17/5.20 inference(lazy_function_extension, [assumptions([a3])], [c9, c10])). % 38.17/5.20 % 38.17/5.20 cnf(a4, assumption, % 38.17/5.20 X9 = X6). % 38.17/5.20 cnf(c14, plain, % 38.17/5.20 X10 != apply(X7,X8) | X11 != apply(apply(apply(b,X6),X7),X8) | X11 != X5, % 38.17/5.20 inference(reflexivity, [assumptions([a4])], [c13])). % 38.17/5.20 % 38.17/5.20 cnf(c15, plain, % 38.17/5.20 apply(apply(apply(s,X1),X2),X3) = apply(apply(X1,X3),apply(X2,X3))). % 38.17/5.20 cnf(a5, assumption, % 38.17/5.20 apply(X7,X8) = apply(apply(apply(s,X1),X2),X3)). % 38.17/5.20 cnf(a6, assumption, % 38.17/5.20 apply(apply(X1,X3),apply(X2,X3)) = X12). % 38.17/5.20 cnf(c16, plain, % 38.17/5.20 X11 != apply(apply(apply(b,X6),X7),X8) | X11 != X5, % 38.17/5.20 inference(equality_reduction, [assumptions([a5, a6])], [c14, c15])). % 38.17/5.20 cnf(c17, plain, % 38.17/5.20 X10 != X12, % 38.17/5.20 inference(equality_reduction, [assumptions([a5, a6])], [c14, c15])). % 38.17/5.20 % 38.17/5.20 cnf(a7, assumption, % 38.17/5.20 X10 = X12). % 38.17/5.20 cnf(c18, plain, % 38.17/5.20 $false, % 38.17/5.20 inference(reflexivity, [assumptions([a7])], [c17])). % 38.17/5.20 % 38.17/5.20 cnf(c19, axiom, % 38.17/5.20 apply(apply(apply(c,X13),X14),X15) = apply(apply(X13,X15),X14)). % 38.17/5.20 cnf(a8, assumption, % 38.17/5.20 apply(apply(apply(b,X6),X7),X8) = apply(apply(X13,X15),X14)). % 38.17/5.20 cnf(c20, plain, % 38.17/5.20 X11 != X5, % 38.17/5.20 inference(strict_function_extension, [assumptions([a8])], [c16, c19])). % 38.17/5.20 cnf(c21, plain, % 38.17/5.20 $false, % 38.17/5.20 inference(strict_function_extension, [assumptions([a8])], [c16, c19])). % 38.17/5.20 cnf(c22, plain, % 38.17/5.20 X16 != apply(apply(apply(c,X13),X14),X15) | X11 != X16, % 38.17/5.20 inference(strict_function_extension, [assumptions([a8])], [c16, c19])). % 38.17/5.20 % 38.17/5.20 cnf(a9, assumption, % 38.17/5.20 X16 = apply(apply(apply(c,X13),X14),X15)). % 38.17/5.20 cnf(c23, plain, % 38.17/5.20 X11 != X16, % 38.17/5.20 inference(reflexivity, [assumptions([a9])], [c22])). % 38.17/5.20 % 38.17/5.20 cnf(a10, assumption, % 38.17/5.20 X11 = X16). % 38.17/5.20 cnf(c24, plain, % 38.17/5.20 $false, % 38.17/5.20 inference(reflexivity, [assumptions([a10])], [c23])). % 38.17/5.20 % 38.17/5.20 cnf(a11, assumption, % 38.17/5.20 X11 = X5). % 38.17/5.20 cnf(c25, plain, % 38.17/5.20 $false, % 38.17/5.20 inference(reflexivity, [assumptions([a11])], [c20])). % 38.17/5.20 % 38.17/5.20 cnf(c26, plain, % 38.17/5.20 $false, % 38.17/5.20 inference(constraint_solving, [ % 38.17/5.20 bind(X0, fixed_pt), % 38.17/5.20 bind(X1, apply(c,apply(b,X0))), % 38.17/5.20 bind(X2, apply(s,apply(c,apply(b,X0)))), % 38.17/5.20 bind(X3, apply(s,apply(c,apply(b,X0)))), % 38.17/5.20 bind(X4, apply(apply(X1,X3),apply(X2,X3))), % 38.17/5.20 bind(X5, apply(apply(X1,X3),apply(X2,X3))), % 38.17/5.20 bind(X6, fixed_pt), % 38.17/5.20 bind(X7, apply(apply(s,X1),X2)), % 38.17/5.20 bind(X8, apply(s,apply(c,apply(b,X0)))), % 38.17/5.20 bind(X11, apply(apply(apply(c,X13),X14),X15)), % 38.17/5.20 bind(X9, fixed_pt), % 38.17/5.20 bind(X10, apply(apply(X1,X3),apply(X2,X3))), % 38.17/5.20 bind(X12, apply(apply(X1,X3),apply(X2,X3))), % 38.17/5.20 bind(X13, apply(b,X6)), % 38.17/5.20 bind(X14, apply(s,apply(c,apply(b,X0)))), % 38.17/5.20 bind(X15, apply(apply(s,X1),X2)), % 38.17/5.20 bind(X16, apply(apply(apply(c,X13),X14),X15)) % 38.17/5.20 ], % 38.17/5.20 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11])). % 38.17/5.20 % 38.17/5.20 % SZS output end IncompleteProof %------------------------------------------------------------------------------