%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL359-1 : 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 : n011.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 0.09s 0.43s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL359-1 : TPTP v9.3.1. Released v2.3.0. % 0.00/0.04 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.09/0.37 % Computer : n011.cluster.edu % 0.09/0.37 % Model : x86_64 x86_64 % 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.37 % Memory : 8046.5625MB % 0.09/0.37 % OS : Linux 6.8.0-71-generic % 0.09/0.37 % CPULimit : 300 % 0.09/0.37 % WCLimit : 300 % 0.09/0.37 % DateTime : Sat Sep 5 22:36:59 UTC 2026 % 0.09/0.38 % CPUTime : % 0.09/0.43 % SZS status Unsatisfiable % 0.09/0.43 % SZS output begin IncompleteProof % 0.09/0.43 cnf(c0, axiom, % 0.09/0.43 ~is_a_theorem(implies(implies(x,y),implies(implies(z,x),implies(implies(y,u),implies(z,u)))))). % 0.09/0.43 cnf(c1, plain, % 0.09/0.43 ~is_a_theorem(implies(implies(x,y),implies(implies(z,x),implies(implies(y,u),implies(z,u))))), % 0.09/0.43 inference(start, [], [c0])). % 0.09/0.43 % 0.09/0.43 cnf(c2, axiom, % 0.09/0.43 is_a_theorem(X0) | ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0))). % 0.09/0.43 cnf(a0, assumption, % 0.09/0.43 implies(implies(x,y),implies(implies(z,x),implies(implies(y,u),implies(z,u)))) = X0). % 0.09/0.43 cnf(c3, plain, % 0.09/0.43 $false, % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.09/0.43 cnf(c4, plain, % 0.09/0.43 ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0)), % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.09/0.43 % 0.09/0.43 cnf(c5, axiom, % 0.09/0.43 is_a_theorem(X2) | ~is_a_theorem(X3) | ~is_a_theorem(implies(X3,X2))). % 0.09/0.43 cnf(a1, assumption, % 0.09/0.43 X1 = X2). % 0.09/0.43 cnf(c6, plain, % 0.09/0.43 ~is_a_theorem(implies(X1,X0)), % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.09/0.43 cnf(c7, plain, % 0.09/0.43 ~is_a_theorem(X3) | ~is_a_theorem(implies(X3,X2)), % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.09/0.43 % 0.09/0.43 cnf(c8, axiom, % 0.09/0.43 is_a_theorem(X4) | ~is_a_theorem(X5) | ~is_a_theorem(implies(X5,X4))). % 0.09/0.43 cnf(a2, assumption, % 0.09/0.43 X3 = X4). % 0.09/0.43 cnf(c9, plain, % 0.09/0.43 ~is_a_theorem(implies(X3,X2)), % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 0.09/0.43 cnf(c10, plain, % 0.09/0.43 ~is_a_theorem(X5) | ~is_a_theorem(implies(X5,X4)), % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 0.09/0.43 % 0.09/0.43 cnf(c11, axiom, % 0.09/0.43 is_a_theorem(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))))). % 0.09/0.43 cnf(a3, assumption, % 0.09/0.43 X5 = implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8)))). % 0.09/0.43 cnf(c12, plain, % 0.09/0.43 ~is_a_theorem(implies(X5,X4)), % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 0.09/0.43 cnf(c13, plain, % 0.09/0.43 $false, % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 0.09/0.43 % 0.09/0.43 cnf(c14, axiom, % 0.09/0.43 is_a_theorem(implies(implies(X9,X10),implies(implies(X10,X11),implies(X9,X11))))). % 0.09/0.43 cnf(a4, assumption, % 0.09/0.43 implies(X5,X4) = implies(implies(X9,X10),implies(implies(X10,X11),implies(X9,X11)))). % 0.09/0.43 cnf(c15, plain, % 0.09/0.43 $false, % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a4])], [c12, c14])). % 0.09/0.43 cnf(c16, plain, % 0.09/0.43 $false, % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a4])], [c12, c14])). % 0.09/0.43 % 0.09/0.43 cnf(c17, axiom, % 0.09/0.43 is_a_theorem(X12) | ~is_a_theorem(X13) | ~is_a_theorem(implies(X13,X12))). % 0.09/0.43 cnf(a5, assumption, % 0.09/0.43 implies(X3,X2) = X12). % 0.09/0.43 cnf(c18, plain, % 0.09/0.43 $false, % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a5])], [c9, c17])). % 0.09/0.43 cnf(c19, plain, % 0.09/0.43 ~is_a_theorem(X13) | ~is_a_theorem(implies(X13,X12)), % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a5])], [c9, c17])). % 0.09/0.43 % 0.09/0.43 cnf(c20, axiom, % 0.09/0.43 is_a_theorem(implies(implies(X14,X15),implies(implies(X15,X16),implies(X14,X16))))). % 0.09/0.43 cnf(a6, assumption, % 0.09/0.43 X13 = implies(implies(X14,X15),implies(implies(X15,X16),implies(X14,X16)))). % 0.09/0.43 cnf(c21, plain, % 0.09/0.43 ~is_a_theorem(implies(X13,X12)), % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 0.09/0.43 cnf(c22, plain, % 0.09/0.43 $false, % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 0.09/0.43 % 0.09/0.43 cnf(c23, axiom, % 0.09/0.43 is_a_theorem(implies(implies(X17,X18),implies(implies(X18,X19),implies(X17,X19))))). % 0.09/0.43 cnf(a7, assumption, % 0.09/0.43 implies(X13,X12) = implies(implies(X17,X18),implies(implies(X18,X19),implies(X17,X19)))). % 0.09/0.43 cnf(c24, plain, % 0.09/0.43 $false, % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a7])], [c21, c23])). % 0.09/0.43 cnf(c25, plain, % 0.09/0.43 $false, % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a7])], [c21, c23])). % 0.09/0.43 % 0.09/0.43 cnf(c26, axiom, % 0.09/0.43 is_a_theorem(X20) | ~is_a_theorem(X21) | ~is_a_theorem(implies(X21,X20))). % 0.09/0.43 cnf(a8, assumption, % 0.09/0.43 implies(X1,X0) = X20). % 0.09/0.43 cnf(c27, plain, % 0.09/0.43 $false, % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a8])], [c6, c26])). % 0.09/0.43 cnf(c28, plain, % 0.09/0.43 ~is_a_theorem(X21) | ~is_a_theorem(implies(X21,X20)), % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a8])], [c6, c26])). % 0.09/0.43 % 0.09/0.43 cnf(c29, axiom, % 0.09/0.43 is_a_theorem(implies(implies(X22,X23),implies(implies(X23,X24),implies(X22,X24))))). % 0.09/0.43 cnf(a9, assumption, % 0.09/0.43 X21 = implies(implies(X22,X23),implies(implies(X23,X24),implies(X22,X24)))). % 0.09/0.43 cnf(c30, plain, % 0.09/0.43 ~is_a_theorem(implies(X21,X20)), % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])). % 0.09/0.43 cnf(c31, plain, % 0.09/0.43 $false, % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])). % 0.09/0.43 % 0.09/0.43 cnf(c32, axiom, % 0.09/0.43 is_a_theorem(implies(implies(X25,X26),implies(implies(X26,X27),implies(X25,X27))))). % 0.09/0.43 cnf(a10, assumption, % 0.09/0.43 implies(X21,X20) = implies(implies(X25,X26),implies(implies(X26,X27),implies(X25,X27)))). % 0.09/0.43 cnf(c33, plain, % 0.09/0.43 $false, % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a10])], [c30, c32])). % 0.09/0.43 cnf(c34, plain, % 0.09/0.43 $false, % 0.09/0.43 inference(strict_predicate_extension, [assumptions([a10])], [c30, c32])). % 0.09/0.43 % 0.09/0.43 cnf(c35, plain, % 0.09/0.43 $false, % 0.09/0.43 inference(constraint_solving, [ % 0.09/0.43 bind(X0, implies(implies(x,y),implies(implies(z,x),implies(implies(y,u),implies(z,u))))), % 0.09/0.43 bind(X1, implies(X17,X19)), % 0.09/0.43 bind(X2, implies(X17,X19)), % 0.09/0.43 bind(X3, implies(implies(X10,X11),implies(X9,X11))), % 0.09/0.43 bind(X4, implies(implies(X10,X11),implies(X9,X11))), % 0.09/0.43 bind(X5, implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8)))), % 0.09/0.43 bind(X6, z), % 0.09/0.43 bind(X7, x), % 0.09/0.43 bind(X8, u), % 0.09/0.43 bind(X9, implies(X6,X7)), % 0.09/0.43 bind(X10, implies(implies(X7,X8),implies(X6,X8))), % 0.09/0.43 bind(X11, implies(X14,X16)), % 0.09/0.43 bind(X12, implies(X3,X2)), % 0.09/0.43 bind(X13, implies(implies(X14,X15),implies(implies(X15,X16),implies(X14,X16)))), % 0.09/0.43 bind(X14, implies(X23,X24)), % 0.09/0.43 bind(X15, implies(X7,X8)), % 0.09/0.43 bind(X16, implies(X6,X8)), % 0.09/0.43 bind(X17, implies(X14,X15)), % 0.09/0.43 bind(X18, implies(implies(X15,X16),implies(X14,X16))), % 0.09/0.43 bind(X19, implies(X9,X11)), % 0.09/0.43 bind(X20, implies(X1,X0)), % 0.09/0.43 bind(X21, implies(implies(X22,X23),implies(implies(X23,X24),implies(X22,X24)))), % 0.09/0.43 bind(X22, x), % 0.09/0.43 bind(X23, y), % 0.09/0.43 bind(X24, u), % 0.09/0.43 bind(X25, implies(X22,X23)), % 0.09/0.43 bind(X26, implies(implies(X23,X24),implies(X22,X24))), % 0.09/0.43 bind(X27, implies(X9,X11)) % 0.09/0.43 ], % 0.09/0.43 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10])). % 0.09/0.43 % 0.09/0.43 % SZS output end IncompleteProof %------------------------------------------------------------------------------