%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL045-1 : 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 : 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 12:28:04 PM UTC 2026 % Result : Unsatisfiable 4.23s 0.99s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL045-1 : TPTP v9.3.1. Released v1.0.0. % 0.00/0.04 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.09/0.36 % Computer : n011.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % 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 03:39:43 UTC 2026 % 0.09/0.37 % CPUTime : % 4.23/0.99 % SZS status Unsatisfiable % 4.23/0.99 % SZS output begin IncompleteProof % 4.23/0.99 cnf(c0, axiom, % 4.23/0.99 ~is_a_theorem(implies(implies(a,b),implies(not(b),not(a))))). % 4.23/0.99 cnf(c1, plain, % 4.23/0.99 ~is_a_theorem(implies(implies(a,b),implies(not(b),not(a)))), % 4.23/0.99 inference(start, [], [c0])). % 4.23/0.99 % 4.23/0.99 cnf(c2, axiom, % 4.23/0.99 is_a_theorem(X0) | ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0))). % 4.23/0.99 cnf(a0, assumption, % 4.23/0.99 implies(implies(a,b),implies(not(b),not(a))) = X0). % 4.23/0.99 cnf(c3, plain, % 4.23/0.99 $false, % 4.23/0.99 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 4.23/0.99 cnf(c4, plain, % 4.23/0.99 ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0)), % 4.23/0.99 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 4.23/0.99 % 4.23/0.99 cnf(c5, axiom, % 4.23/0.99 is_a_theorem(X2) | ~is_a_theorem(X3) | ~is_a_theorem(implies(X3,X2))). % 4.23/0.99 cnf(a1, assumption, % 4.23/0.99 X1 = X2). % 4.23/0.99 cnf(c6, plain, % 4.23/0.99 ~is_a_theorem(implies(X1,X0)), % 4.23/0.99 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 4.23/0.99 cnf(c7, plain, % 4.23/0.99 ~is_a_theorem(X3) | ~is_a_theorem(implies(X3,X2)), % 4.23/0.99 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 4.23/0.99 % 4.23/0.99 cnf(c8, axiom, % 4.23/0.99 is_a_theorem(implies(X4,implies(not(X4),X5)))). % 4.23/0.99 cnf(a2, assumption, % 4.23/0.99 X3 = implies(X4,implies(not(X4),X5))). % 4.23/0.99 cnf(c9, plain, % 4.23/0.99 ~is_a_theorem(implies(X3,X2)), % 4.23/0.99 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 4.23/0.99 cnf(c10, plain, % 4.23/0.99 $false, % 4.23/0.99 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 4.23/0.99 % 4.23/0.99 cnf(c11, axiom, % 4.23/0.99 is_a_theorem(implies(implies(X6,X7),implies(implies(X8,X6),implies(X8,X7))))). % 4.23/0.99 cnf(a3, assumption, % 4.23/0.99 implies(X3,X2) = implies(implies(X6,X7),implies(implies(X8,X6),implies(X8,X7)))). % 4.23/0.99 cnf(c12, plain, % 4.23/0.99 $false, % 4.23/0.99 inference(strict_predicate_extension, [assumptions([a3])], [c9, c11])). % 4.23/0.99 cnf(c13, plain, % 4.23/0.99 $false, % 4.23/0.99 inference(strict_predicate_extension, [assumptions([a3])], [c9, c11])). % 4.23/0.99 % 4.23/0.99 cnf(c14, axiom, % 4.23/0.99 is_a_theorem(X9) | ~is_a_theorem(X10) | ~is_a_theorem(implies(X10,X9))). % 4.23/0.99 cnf(a4, assumption, % 4.23/0.99 implies(X1,X0) = X9). % 4.23/0.99 cnf(c15, plain, % 4.23/0.99 $false, % 4.23/0.99 inference(strict_predicate_extension, [assumptions([a4])], [c6, c14])). % 4.23/0.99 cnf(c16, plain, % 4.23/0.99 ~is_a_theorem(X10) | ~is_a_theorem(implies(X10,X9)), % 4.23/0.99 inference(strict_predicate_extension, [assumptions([a4])], [c6, c14])). % 4.23/0.99 % 4.23/0.99 cnf(c17, axiom, % 4.23/0.99 is_a_theorem(X11) | ~is_a_theorem(X12) | ~is_a_theorem(implies(X12,X11))). % 4.23/0.99 cnf(a5, assumption, % 4.23/0.99 X10 = X11). % 4.23/0.99 cnf(c18, plain, % 4.23/0.99 ~is_a_theorem(implies(X10,X9)), % 4.23/0.99 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 4.23/0.99 cnf(c19, plain, % 4.23/0.99 ~is_a_theorem(X12) | ~is_a_theorem(implies(X12,X11)), % 4.23/0.99 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 4.23/0.99 % 4.23/0.99 cnf(c20, axiom, % 4.23/0.99 is_a_theorem(implies(X13,implies(X14,X13)))). % 4.23/0.99 cnf(a6, assumption, % 4.23/0.99 X12 = implies(X13,implies(X14,X13))). % 4.23/0.99 cnf(c21, plain, % 4.23/0.99 ~is_a_theorem(implies(X12,X11)), % 4.23/0.99 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 4.23/0.99 cnf(c22, plain, % 4.23/0.99 $false, % 4.23/0.99 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 4.23/0.99 % 4.23/0.99 cnf(c23, axiom, % 4.23/0.99 is_a_theorem(X15) | ~is_a_theorem(X16) | ~is_a_theorem(implies(X16,X15))). % 4.23/0.99 cnf(a7, assumption, % 4.23/0.99 implies(X12,X11) = X15). % 4.23/0.99 cnf(c24, plain, % 4.23/0.99 $false, % 4.23/0.99 inference(strict_predicate_extension, [assumptions([a7])], [c21, c23])). % 4.23/0.99 cnf(c25, plain, % 4.23/0.99 ~is_a_theorem(X16) | ~is_a_theorem(implies(X16,X15)), % 4.23/0.99 inference(strict_predicate_extension, [assumptions([a7])], [c21, c23])). % 4.23/0.99 % 4.23/0.99 cnf(c26, axiom, % 4.23/0.99 is_a_theorem(implies(implies(X17,X18),implies(implies(not(X17),X18),X18)))). % 4.23/0.99 cnf(a8, assumption, % 4.23/0.99 X16 = implies(implies(X17,X18),implies(implies(not(X17),X18),X18))). % 4.23/0.99 cnf(c27, plain, % 4.23/0.99 ~is_a_theorem(implies(X16,X15)), % 4.23/0.99 inference(strict_predicate_extension, [assumptions([a8])], [c25, c26])). % 4.23/0.99 cnf(c28, plain, % 4.23/0.99 $false, % 4.23/0.99 inference(strict_predicate_extension, [assumptions([a8])], [c25, c26])). % 4.23/0.99 % 4.23/0.99 cnf(c29, axiom, % 4.23/0.99 is_a_theorem(implies(implies(X19,implies(X20,X21)),implies(X20,implies(X19,X21))))). % 4.23/0.99 cnf(a9, assumption, % 4.23/0.99 implies(X16,X15) = implies(implies(X19,implies(X20,X21)),implies(X20,implies(X19,X21)))). % 4.23/0.99 cnf(c30, plain, % 4.23/0.99 $false, % 4.23/0.99 inference(strict_predicate_extension, [assumptions([a9])], [c27, c29])). % 4.23/0.99 cnf(c31, plain, % 4.23/0.99 $false, % 4.23/0.99 inference(strict_predicate_extension, [assumptions([a9])], [c27, c29])). % 4.23/0.99 % 4.23/0.99 cnf(c32, axiom, % 4.23/0.99 is_a_theorem(implies(implies(X22,X23),implies(implies(X24,X22),implies(X24,X23))))). % 4.23/0.99 cnf(a10, assumption, % 4.23/0.99 implies(X10,X9) = implies(implies(X22,X23),implies(implies(X24,X22),implies(X24,X23)))). % 4.23/0.99 cnf(c33, plain, % 4.23/0.99 $false, % 4.23/0.99 inference(strict_predicate_extension, [assumptions([a10])], [c18, c32])). % 4.23/0.99 cnf(c34, plain, % 4.23/0.99 $false, % 4.23/0.99 inference(strict_predicate_extension, [assumptions([a10])], [c18, c32])). % 4.23/0.99 % 4.23/0.99 cnf(c35, plain, % 4.23/0.99 $false, % 4.23/0.99 inference(constraint_solving, [ % 4.23/0.99 bind(X0, implies(implies(a,b),implies(not(b),not(a)))), % 4.23/0.99 bind(X1, implies(implies(X8,X6),implies(X8,X7))), % 4.23/0.99 bind(X2, implies(implies(X8,X6),implies(X8,X7))), % 4.23/0.99 bind(X3, implies(X4,implies(not(X4),X5))), % 4.23/0.99 bind(X4, b), % 4.23/0.99 bind(X5, not(X17)), % 4.23/0.99 bind(X6, b), % 4.23/0.99 bind(X7, implies(not(X4),X5)), % 4.23/0.99 bind(X8, a), % 4.23/0.99 bind(X9, implies(X1,X0)), % 4.23/0.99 bind(X10, implies(X19,X21)), % 4.23/0.99 bind(X11, implies(X19,X21)), % 4.23/0.99 bind(X12, implies(X13,implies(X14,X13))), % 4.23/0.99 bind(X13, not(X17)), % 4.23/0.99 bind(X14, not(X4)), % 4.23/0.99 bind(X15, implies(X12,X11)), % 4.23/0.99 bind(X16, implies(implies(X17,X18),implies(implies(not(X17),X18),X18))), % 4.23/0.99 bind(X17, a), % 4.23/0.99 bind(X18, implies(X14,X13)), % 4.23/0.99 bind(X19, implies(X17,X18)), % 4.23/0.99 bind(X20, implies(not(X17),X18)), % 4.23/0.99 bind(X21, implies(X14,X13)), % 4.23/0.99 bind(X22, implies(X17,X18)), % 4.23/0.99 bind(X23, implies(X14,X13)), % 4.23/0.99 bind(X24, implies(X8,X6)) % 4.23/0.99 ], % 4.23/0.99 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10])). % 4.23/0.99 % 4.23/0.99 % SZS output end IncompleteProof %------------------------------------------------------------------------------