%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : COL002-2 : 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 : 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 : Fri Jul 15 00:33:52 EDT 2022 % Result : Unsatisfiable 2.93s 0.76s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : COL002-2 : TPTP v8.1.0. Released v1.0.0. % 0.11/0.12 % 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 : Tue May 31 06:27:40 EDT 2022 % 0.13/0.34 % CPUTime : % 2.93/0.76 % SZS status Unsatisfiable % 2.93/0.76 % SZS output begin IncompleteProof % 2.93/0.76 cnf(c0, axiom, % 2.93/0.76 ~fixed_point(apply(apply(apply(s,apply(b,X0)),i),apply(apply(s,apply(b,X0)),i)))). % 2.93/0.76 cnf(c1, plain, % 2.93/0.76 ~fixed_point(apply(apply(apply(s,apply(b,X0)),i),apply(apply(s,apply(b,X0)),i))), % 2.93/0.76 inference(start, [], [c0])). % 2.93/0.76 % 2.93/0.76 cnf(c2, axiom, % 2.93/0.76 fixed_point(X1) | apply(fixed_pt,X1) != X1). % 2.93/0.76 cnf(a0, assumption, % 2.93/0.76 apply(apply(apply(s,apply(b,X0)),i),apply(apply(s,apply(b,X0)),i)) = X1). % 2.93/0.76 cnf(c3, plain, % 2.93/0.76 $false, % 2.93/0.76 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 2.93/0.76 cnf(c4, plain, % 2.93/0.76 apply(fixed_pt,X1) != X1, % 2.93/0.76 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 2.93/0.76 % 2.93/0.76 cnf(c5, axiom, % 2.93/0.76 apply(apply(apply(b,X2),X3),X4) = apply(X2,apply(X3,X4))). % 2.93/0.76 cnf(a1, assumption, % 2.93/0.76 apply(fixed_pt,X1) = apply(X2,apply(X3,X4))). % 2.93/0.76 cnf(c6, plain, % 2.93/0.76 $false, % 2.93/0.76 inference(strict_function_extension, [assumptions([a1])], [c4, c5])). % 2.93/0.76 cnf(c7, plain, % 2.93/0.76 $false, % 2.93/0.76 inference(strict_function_extension, [assumptions([a1])], [c4, c5])). % 2.93/0.76 cnf(c8, plain, % 2.93/0.76 X5 != apply(apply(apply(b,X2),X3),X4) | X5 != X1, % 2.93/0.76 inference(strict_function_extension, [assumptions([a1])], [c4, c5])). % 2.93/0.76 % 2.93/0.76 cnf(c9, axiom, % 2.93/0.76 apply(apply(apply(s,X6),X7),X8) = apply(apply(X6,X8),apply(X7,X8))). % 2.93/0.76 cnf(a2, assumption, % 2.93/0.76 apply(X9,X10) = apply(apply(apply(b,X2),X3),X4)). % 2.93/0.76 cnf(c10, plain, % 2.93/0.76 X5 != X1, % 2.93/0.76 inference(lazy_function_extension, [assumptions([a2])], [c8, c9])). % 2.93/0.76 cnf(c11, plain, % 2.93/0.76 $false, % 2.93/0.76 inference(lazy_function_extension, [assumptions([a2])], [c8, c9])). % 2.93/0.76 cnf(c12, plain, % 2.93/0.76 X9 != apply(X6,X8) | X10 != apply(X7,X8) | X11 != apply(apply(apply(s,X6),X7),X8) | X5 != X11, % 2.93/0.76 inference(lazy_function_extension, [assumptions([a2])], [c8, c9])). % 2.93/0.76 % 2.93/0.76 cnf(a3, assumption, % 2.93/0.76 X9 = apply(X6,X8)). % 2.93/0.76 cnf(c13, plain, % 2.93/0.76 X10 != apply(X7,X8) | X11 != apply(apply(apply(s,X6),X7),X8) | X5 != X11, % 2.93/0.76 inference(reflexivity, [assumptions([a3])], [c12])). % 2.93/0.76 % 2.93/0.76 cnf(c14, axiom, % 2.93/0.76 apply(i,X12) = X12). % 2.93/0.76 cnf(a4, assumption, % 2.93/0.76 apply(X7,X8) = apply(i,X12)). % 2.93/0.76 cnf(c15, plain, % 2.93/0.76 X11 != apply(apply(apply(s,X6),X7),X8) | X5 != X11, % 2.93/0.76 inference(strict_function_extension, [assumptions([a4])], [c13, c14])). % 2.93/0.76 cnf(c16, plain, % 2.93/0.76 $false, % 2.93/0.76 inference(strict_function_extension, [assumptions([a4])], [c13, c14])). % 2.93/0.76 cnf(c17, plain, % 2.93/0.76 X13 != X12 | X10 != X13, % 2.93/0.76 inference(strict_function_extension, [assumptions([a4])], [c13, c14])). % 2.93/0.76 % 2.93/0.76 cnf(a5, assumption, % 2.93/0.76 X13 = X12). % 2.93/0.76 cnf(c18, plain, % 2.93/0.76 X10 != X13, % 2.93/0.76 inference(reflexivity, [assumptions([a5])], [c17])). % 2.93/0.76 % 2.93/0.76 cnf(a6, assumption, % 2.93/0.76 X10 = X13). % 2.93/0.76 cnf(c19, plain, % 2.93/0.76 $false, % 2.93/0.76 inference(reflexivity, [assumptions([a6])], [c18])). % 2.93/0.76 % 2.93/0.76 cnf(a7, assumption, % 2.93/0.76 X11 = apply(apply(apply(s,X6),X7),X8)). % 2.93/0.76 cnf(c20, plain, % 2.93/0.76 X5 != X11, % 2.93/0.76 inference(reflexivity, [assumptions([a7])], [c15])). % 2.93/0.76 % 2.93/0.76 cnf(a8, assumption, % 2.93/0.76 X5 = X11). % 2.93/0.76 cnf(c21, plain, % 2.93/0.76 $false, % 2.93/0.76 inference(reflexivity, [assumptions([a8])], [c20])). % 2.93/0.76 % 2.93/0.76 cnf(a9, assumption, % 2.93/0.76 X5 = X1). % 2.93/0.76 cnf(c22, plain, % 2.93/0.76 $false, % 2.93/0.76 inference(reflexivity, [assumptions([a9])], [c10])). % 2.93/0.76 % 2.93/0.76 cnf(c23, plain, % 2.93/0.76 $false, % 2.93/0.76 inference(constraint_solving, [ % 2.93/0.76 bind(X0, fixed_pt), % 2.93/0.76 bind(X1, apply(apply(apply(s,apply(b,X0)),i),apply(apply(s,apply(b,X0)),i))), % 2.93/0.76 bind(X2, fixed_pt), % 2.93/0.76 bind(X3, apply(apply(s,apply(b,X0)),i)), % 2.93/0.76 bind(X4, apply(apply(s,apply(b,X0)),i)), % 2.93/0.76 bind(X5, apply(apply(apply(s,X6),X7),X8)), % 2.93/0.76 bind(X6, apply(b,X2)), % 2.93/0.76 bind(X7, i), % 2.93/0.76 bind(X8, apply(apply(s,apply(b,X0)),i)), % 2.93/0.76 bind(X11, apply(apply(apply(s,X6),X7),X8)), % 2.93/0.76 bind(X9, apply(apply(b,X2),X3)), % 2.93/0.76 bind(X10, apply(apply(s,apply(b,X0)),i)), % 2.93/0.76 bind(X12, apply(apply(s,apply(b,X0)),i)), % 2.93/0.76 bind(X13, apply(apply(s,apply(b,X0)),i)) % 2.93/0.76 ], % 2.93/0.76 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9])). % 2.93/0.76 % 2.93/0.76 % SZS output end IncompleteProof %------------------------------------------------------------------------------