%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL035-1 : TPTP v9.3.1. 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 : n006.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 12:28:04 PM UTC 2026 % Result : Unsatisfiable 0.13s 0.40s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL035-1 : TPTP v9.3.1. Released v1.0.0. % 0.00/0.03 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.09/0.35 % Computer : n006.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Sat Sep 5 06:05:16 UTC 2026 % 0.13/0.36 % CPUTime : % 0.13/0.40 % SZS status Unsatisfiable % 0.13/0.40 % SZS output begin IncompleteProof % 0.13/0.40 cnf(c0, axiom, % 0.13/0.40 ~is_a_theorem(implies(falsehood,a))). % 0.13/0.40 cnf(c1, plain, % 0.13/0.40 ~is_a_theorem(implies(falsehood,a)), % 0.13/0.40 inference(start, [], [c0])). % 0.13/0.40 % 0.13/0.40 cnf(c2, axiom, % 0.13/0.40 is_a_theorem(X0) | ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0))). % 0.13/0.40 cnf(a0, assumption, % 0.13/0.40 implies(falsehood,a) = X0). % 0.13/0.40 cnf(c3, plain, % 0.13/0.40 $false, % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.13/0.40 cnf(c4, plain, % 0.13/0.40 ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0)), % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.13/0.40 % 0.13/0.40 cnf(c5, axiom, % 0.13/0.40 is_a_theorem(implies(implies(implies(implies(implies(X2,X3),implies(X4,falsehood)),X5),X6),implies(implies(X6,X2),implies(X4,X2))))). % 0.13/0.40 cnf(a1, assumption, % 0.13/0.40 X1 = implies(implies(implies(implies(implies(X2,X3),implies(X4,falsehood)),X5),X6),implies(implies(X6,X2),implies(X4,X2)))). % 0.13/0.40 cnf(c6, plain, % 0.13/0.40 ~is_a_theorem(implies(X1,X0)), % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.13/0.40 cnf(c7, plain, % 0.13/0.40 $false, % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.13/0.40 % 0.13/0.40 cnf(c8, axiom, % 0.13/0.40 is_a_theorem(X7) | ~is_a_theorem(X8) | ~is_a_theorem(implies(X8,X7))). % 0.13/0.40 cnf(a2, assumption, % 0.13/0.40 implies(X1,X0) = X7). % 0.13/0.40 cnf(c9, plain, % 0.13/0.40 $false, % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])). % 0.13/0.40 cnf(c10, plain, % 0.13/0.40 ~is_a_theorem(X8) | ~is_a_theorem(implies(X8,X7)), % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])). % 0.13/0.40 % 0.13/0.40 cnf(c11, plain, % 0.13/0.40 is_a_theorem(X1)). % 0.13/0.40 cnf(a3, assumption, % 0.13/0.40 X8 = X1). % 0.13/0.40 cnf(c12, plain, % 0.13/0.40 ~is_a_theorem(implies(X8,X7)), % 0.13/0.40 inference(predicate_reduction, [assumptions([a3])], [c10, c11])). % 0.13/0.40 % 0.13/0.40 cnf(c13, axiom, % 0.13/0.40 is_a_theorem(X9) | ~is_a_theorem(X10) | ~is_a_theorem(implies(X10,X9))). % 0.13/0.40 cnf(a4, assumption, % 0.13/0.40 implies(X8,X7) = X9). % 0.13/0.40 cnf(c14, plain, % 0.13/0.40 $false, % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a4])], [c12, c13])). % 0.13/0.40 cnf(c15, plain, % 0.13/0.40 ~is_a_theorem(X10) | ~is_a_theorem(implies(X10,X9)), % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a4])], [c12, c13])). % 0.13/0.40 % 0.13/0.40 cnf(c16, axiom, % 0.13/0.40 is_a_theorem(X11) | ~is_a_theorem(X12) | ~is_a_theorem(implies(X12,X11))). % 0.13/0.40 cnf(a5, assumption, % 0.13/0.40 X10 = X11). % 0.13/0.40 cnf(c17, plain, % 0.13/0.40 ~is_a_theorem(implies(X10,X9)), % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a5])], [c15, c16])). % 0.13/0.40 cnf(c18, plain, % 0.13/0.40 ~is_a_theorem(X12) | ~is_a_theorem(implies(X12,X11)), % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a5])], [c15, c16])). % 0.13/0.40 % 0.13/0.40 cnf(c19, axiom, % 0.13/0.40 is_a_theorem(implies(implies(implies(implies(implies(X13,X14),implies(X15,falsehood)),X16),X17),implies(implies(X17,X13),implies(X15,X13))))). % 0.13/0.40 cnf(a6, assumption, % 0.13/0.40 X12 = implies(implies(implies(implies(implies(X13,X14),implies(X15,falsehood)),X16),X17),implies(implies(X17,X13),implies(X15,X13)))). % 0.13/0.40 cnf(c20, plain, % 0.13/0.40 ~is_a_theorem(implies(X12,X11)), % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a6])], [c18, c19])). % 0.13/0.40 cnf(c21, plain, % 0.13/0.40 $false, % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a6])], [c18, c19])). % 0.13/0.40 % 0.13/0.40 cnf(c22, axiom, % 0.13/0.40 is_a_theorem(implies(implies(implies(implies(implies(X18,X19),implies(X20,falsehood)),X21),X22),implies(implies(X22,X18),implies(X20,X18))))). % 0.13/0.40 cnf(a7, assumption, % 0.13/0.40 implies(X12,X11) = implies(implies(implies(implies(implies(X18,X19),implies(X20,falsehood)),X21),X22),implies(implies(X22,X18),implies(X20,X18)))). % 0.13/0.40 cnf(c23, plain, % 0.13/0.40 $false, % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a7])], [c20, c22])). % 0.13/0.40 cnf(c24, plain, % 0.13/0.40 $false, % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a7])], [c20, c22])). % 0.13/0.40 % 0.13/0.40 cnf(c25, axiom, % 0.13/0.40 is_a_theorem(X23) | ~is_a_theorem(X24) | ~is_a_theorem(implies(X24,X23))). % 0.13/0.40 cnf(a8, assumption, % 0.13/0.40 implies(X10,X9) = X23). % 0.13/0.40 cnf(c26, plain, % 0.13/0.40 $false, % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a8])], [c17, c25])). % 0.13/0.40 cnf(c27, plain, % 0.13/0.40 ~is_a_theorem(X24) | ~is_a_theorem(implies(X24,X23)), % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a8])], [c17, c25])). % 0.13/0.40 % 0.13/0.40 cnf(c28, axiom, % 0.13/0.40 is_a_theorem(X25) | ~is_a_theorem(X26) | ~is_a_theorem(implies(X26,X25))). % 0.13/0.40 cnf(a9, assumption, % 0.13/0.40 X24 = X25). % 0.13/0.40 cnf(c29, plain, % 0.13/0.40 ~is_a_theorem(implies(X24,X23)), % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a9])], [c27, c28])). % 0.13/0.40 cnf(c30, plain, % 0.13/0.40 ~is_a_theorem(X26) | ~is_a_theorem(implies(X26,X25)), % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a9])], [c27, c28])). % 0.13/0.40 % 0.13/0.40 cnf(c31, axiom, % 0.13/0.40 is_a_theorem(implies(implies(implies(implies(implies(X27,X28),implies(X29,falsehood)),X30),X31),implies(implies(X31,X27),implies(X29,X27))))). % 0.13/0.40 cnf(a10, assumption, % 0.13/0.40 X26 = implies(implies(implies(implies(implies(X27,X28),implies(X29,falsehood)),X30),X31),implies(implies(X31,X27),implies(X29,X27)))). % 0.13/0.40 cnf(c32, plain, % 0.13/0.40 ~is_a_theorem(implies(X26,X25)), % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a10])], [c30, c31])). % 0.13/0.40 cnf(c33, plain, % 0.13/0.40 $false, % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a10])], [c30, c31])). % 0.13/0.40 % 0.13/0.40 cnf(c34, axiom, % 0.13/0.40 is_a_theorem(implies(implies(implies(implies(implies(X32,X33),implies(X34,falsehood)),X35),X36),implies(implies(X36,X32),implies(X34,X32))))). % 0.13/0.40 cnf(a11, assumption, % 0.13/0.40 implies(X26,X25) = implies(implies(implies(implies(implies(X32,X33),implies(X34,falsehood)),X35),X36),implies(implies(X36,X32),implies(X34,X32)))). % 0.13/0.40 cnf(c35, plain, % 0.13/0.40 $false, % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a11])], [c32, c34])). % 0.13/0.40 cnf(c36, plain, % 0.13/0.40 $false, % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a11])], [c32, c34])). % 0.13/0.40 % 0.13/0.40 cnf(c37, axiom, % 0.13/0.40 is_a_theorem(implies(implies(implies(implies(implies(X37,X38),implies(X39,falsehood)),X40),X41),implies(implies(X41,X37),implies(X39,X37))))). % 0.13/0.40 cnf(a12, assumption, % 0.13/0.40 implies(X24,X23) = implies(implies(implies(implies(implies(X37,X38),implies(X39,falsehood)),X40),X41),implies(implies(X41,X37),implies(X39,X37)))). % 0.13/0.40 cnf(c38, plain, % 0.13/0.40 $false, % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a12])], [c29, c37])). % 0.13/0.40 cnf(c39, plain, % 0.13/0.40 $false, % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a12])], [c29, c37])). % 0.13/0.40 % 0.13/0.40 cnf(c40, plain, % 0.13/0.40 $false, % 0.13/0.40 inference(constraint_solving, [ % 0.13/0.40 bind(X0, implies(falsehood,a)), % 0.13/0.40 bind(X1, implies(implies(implies(implies(implies(X2,X3),implies(X4,falsehood)),X5),X6),implies(implies(X6,X2),implies(X4,X2)))), % 0.13/0.40 bind(X2, X2), % 0.13/0.40 bind(X3, X3), % 0.13/0.40 bind(X4, X4), % 0.13/0.40 bind(X5, X5), % 0.13/0.40 bind(X6, X6), % 0.13/0.40 bind(X7, implies(X1,X0)), % 0.13/0.40 bind(X8, implies(implies(implies(implies(implies(X2,X3),implies(X4,falsehood)),X5),X6),implies(implies(X6,X2),implies(X4,X2)))), % 0.13/0.40 bind(X9, implies(X8,X7)), % 0.13/0.40 bind(X10, implies(implies(X22,X18),implies(X20,X18))), % 0.13/0.40 bind(X11, implies(implies(X22,X18),implies(X20,X18))), % 0.13/0.40 bind(X12, implies(implies(implies(implies(implies(X13,X14),implies(X15,falsehood)),X16),X17),implies(implies(X17,X13),implies(X15,X13)))), % 0.13/0.40 bind(X13, falsehood), % 0.13/0.40 bind(X14, a), % 0.13/0.40 bind(X15, X15), % 0.13/0.40 bind(X16, implies(X20,falsehood)), % 0.13/0.40 bind(X17, X21), % 0.13/0.40 bind(X18, implies(X13,X14)), % 0.13/0.40 bind(X19, implies(X15,falsehood)), % 0.13/0.40 bind(X20, implies(implies(implies(implies(implies(X2,X3),implies(X4,falsehood)),X5),X6),implies(implies(X6,X2),implies(X4,X2)))), % 0.13/0.40 bind(X21, X21), % 0.13/0.40 bind(X22, implies(implies(X17,X13),implies(X15,X13))), % 0.13/0.40 bind(X23, implies(X10,X9)), % 0.13/0.40 bind(X24, implies(implies(X36,X32),implies(X34,X32))), % 0.13/0.40 bind(X25, implies(implies(X36,X32),implies(X34,X32))), % 0.13/0.40 bind(X26, implies(implies(implies(implies(implies(X27,X28),implies(X29,falsehood)),X30),X31),implies(implies(X31,X27),implies(X29,X27)))), % 0.13/0.40 bind(X27, falsehood), % 0.13/0.40 bind(X28, a), % 0.13/0.40 bind(X29, implies(implies(implies(implies(implies(X2,X3),implies(X4,falsehood)),X5),X6),implies(implies(X6,X2),implies(X4,X2)))), % 0.13/0.40 bind(X30, implies(X34,falsehood)), % 0.13/0.40 bind(X31, implies(X20,X18)), % 0.13/0.40 bind(X32, implies(X27,X28)), % 0.13/0.40 bind(X33, implies(X29,falsehood)), % 0.13/0.40 bind(X34, implies(implies(X17,X13),implies(X15,X13))), % 0.13/0.40 bind(X35, implies(X20,X18)), % 0.13/0.40 bind(X36, implies(implies(X31,X27),implies(X29,X27))), % 0.13/0.40 bind(X37, implies(X20,X18)), % 0.13/0.40 bind(X38, falsehood), % 0.13/0.40 bind(X39, implies(implies(implies(implies(implies(X2,X3),implies(X4,falsehood)),X5),X6),implies(implies(X6,X2),implies(X4,X2)))), % 0.13/0.40 bind(X40, implies(X27,X28)), % 0.13/0.40 bind(X41, implies(X34,X32)) % 0.13/0.40 ], % 0.13/0.40 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12])). % 0.13/0.40 % 0.13/0.40 % SZS output end IncompleteProof %------------------------------------------------------------------------------