%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL357-1 : TPTP v9.3.1. Released v2.3.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n016.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 12:28:33 PM UTC 2026 % Result : Unsatisfiable 0.18s 0.46s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.04 % Problem : LCL357-1 : TPTP v9.3.1. Released v2.3.0. % 0.00/0.06 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.18/0.44 % Computer : n016.cluster.edu % 0.18/0.44 % Model : x86_64 x86_64 % 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.44 % Memory : 8046.5625MB % 0.18/0.44 % OS : Linux 6.8.0-71-generic % 0.18/0.44 % CPULimit : 300 % 0.18/0.44 % WCLimit : 300 % 0.18/0.44 % DateTime : Sun Sep 6 00:44:15 UTC 2026 % 0.18/0.45 % CPUTime : % 0.18/0.46 % SZS status Unsatisfiable % 0.18/0.46 % SZS output begin IncompleteProof % 0.18/0.46 cnf(c0, axiom, % 0.18/0.46 ~is_a_theorem(implies(implies(x,y),implies(implies(implies(x,z),u),implies(implies(y,z),u))))). % 0.18/0.46 cnf(c1, plain, % 0.18/0.46 ~is_a_theorem(implies(implies(x,y),implies(implies(implies(x,z),u),implies(implies(y,z),u)))), % 0.18/0.46 inference(start, [], [c0])). % 0.18/0.46 % 0.18/0.46 cnf(c2, axiom, % 0.18/0.46 is_a_theorem(X0) | ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0))). % 0.18/0.46 cnf(a0, assumption, % 0.18/0.46 implies(implies(x,y),implies(implies(implies(x,z),u),implies(implies(y,z),u))) = X0). % 0.18/0.46 cnf(c3, plain, % 0.18/0.46 $false, % 0.18/0.46 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.18/0.46 cnf(c4, plain, % 0.18/0.46 ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0)), % 0.18/0.46 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.18/0.46 % 0.18/0.46 cnf(c5, axiom, % 0.18/0.46 is_a_theorem(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))))). % 0.18/0.46 cnf(a1, assumption, % 0.18/0.46 X1 = implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4)))). % 0.18/0.46 cnf(c6, plain, % 0.18/0.46 ~is_a_theorem(implies(X1,X0)), % 0.18/0.46 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.18/0.46 cnf(c7, plain, % 0.18/0.46 $false, % 0.18/0.46 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.18/0.46 % 0.18/0.46 cnf(c8, axiom, % 0.18/0.46 is_a_theorem(X5) | ~is_a_theorem(X6) | ~is_a_theorem(implies(X6,X5))). % 0.18/0.46 cnf(a2, assumption, % 0.18/0.46 implies(X1,X0) = X5). % 0.18/0.46 cnf(c9, plain, % 0.18/0.46 $false, % 0.18/0.46 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])). % 0.18/0.46 cnf(c10, plain, % 0.18/0.46 ~is_a_theorem(X6) | ~is_a_theorem(implies(X6,X5)), % 0.18/0.46 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])). % 0.18/0.46 % 0.18/0.46 cnf(c11, axiom, % 0.18/0.46 is_a_theorem(implies(implies(X7,X8),implies(implies(X8,X9),implies(X7,X9))))). % 0.18/0.46 cnf(a3, assumption, % 0.18/0.46 X6 = implies(implies(X7,X8),implies(implies(X8,X9),implies(X7,X9)))). % 0.18/0.46 cnf(c12, plain, % 0.18/0.46 ~is_a_theorem(implies(X6,X5)), % 0.18/0.46 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 0.18/0.46 cnf(c13, plain, % 0.18/0.46 $false, % 0.18/0.46 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 0.18/0.46 % 0.18/0.46 cnf(c14, axiom, % 0.18/0.46 is_a_theorem(implies(implies(X10,X11),implies(implies(X11,X12),implies(X10,X12))))). % 0.18/0.46 cnf(a4, assumption, % 0.18/0.46 implies(X6,X5) = implies(implies(X10,X11),implies(implies(X11,X12),implies(X10,X12)))). % 0.18/0.46 cnf(c15, plain, % 0.18/0.46 $false, % 0.18/0.46 inference(strict_predicate_extension, [assumptions([a4])], [c12, c14])). % 0.18/0.46 cnf(c16, plain, % 0.18/0.46 $false, % 0.18/0.46 inference(strict_predicate_extension, [assumptions([a4])], [c12, c14])). % 0.18/0.46 % 0.18/0.46 cnf(c17, plain, % 0.18/0.46 $false, % 0.18/0.46 inference(constraint_solving, [ % 0.18/0.46 bind(X0, implies(implies(x,y),implies(implies(implies(x,z),u),implies(implies(y,z),u)))), % 0.18/0.46 bind(X1, implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4)))), % 0.18/0.46 bind(X2, implies(X8,X9)), % 0.18/0.46 bind(X3, implies(X7,X9)), % 0.18/0.46 bind(X4, u), % 0.18/0.46 bind(X5, implies(X1,X0)), % 0.18/0.46 bind(X6, implies(implies(X7,X8),implies(implies(X8,X9),implies(X7,X9)))), % 0.18/0.46 bind(X7, x), % 0.18/0.46 bind(X8, y), % 0.18/0.46 bind(X9, z), % 0.18/0.46 bind(X10, implies(X7,X8)), % 0.18/0.46 bind(X11, implies(implies(X8,X9),implies(X7,X9))), % 0.18/0.46 bind(X12, implies(implies(X3,X4),implies(X2,X4))) % 0.18/0.46 ], % 0.18/0.46 [a0, a1, a2, a3, a4])). % 0.18/0.46 % 0.18/0.46 % SZS output end IncompleteProof %------------------------------------------------------------------------------