%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL363-1 : 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 : n004.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 9.07s 1.54s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL363-1 : 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 % 0.09/0.35 % Computer : n004.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 01:10:44 UTC 2026 % 0.09/0.35 % CPUTime : % 9.07/1.54 % SZS status Unsatisfiable % 9.07/1.54 % SZS output begin IncompleteProof % 9.07/1.54 cnf(c0, axiom, % 9.07/1.54 ~is_a_theorem(implies(x,implies(implies(not(y),y),y)))). % 9.07/1.54 cnf(c1, plain, % 9.07/1.54 ~is_a_theorem(implies(x,implies(implies(not(y),y),y))), % 9.07/1.54 inference(start, [], [c0])). % 9.07/1.54 % 9.07/1.54 cnf(c2, axiom, % 9.07/1.54 is_a_theorem(X0) | ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0))). % 9.07/1.54 cnf(a0, assumption, % 9.07/1.54 implies(x,implies(implies(not(y),y),y)) = X0). % 9.07/1.54 cnf(c3, plain, % 9.07/1.54 $false, % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 9.07/1.54 cnf(c4, plain, % 9.07/1.54 ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0)), % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 9.07/1.54 % 9.07/1.54 cnf(c5, axiom, % 9.07/1.54 is_a_theorem(implies(implies(not(X2),X2),X2))). % 9.07/1.54 cnf(a1, assumption, % 9.07/1.54 X1 = implies(implies(not(X2),X2),X2)). % 9.07/1.54 cnf(c6, plain, % 9.07/1.54 ~is_a_theorem(implies(X1,X0)), % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 9.07/1.54 cnf(c7, plain, % 9.07/1.54 $false, % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 9.07/1.54 % 9.07/1.54 cnf(c8, axiom, % 9.07/1.54 is_a_theorem(X3) | ~is_a_theorem(X4) | ~is_a_theorem(implies(X4,X3))). % 9.07/1.54 cnf(a2, assumption, % 9.07/1.54 implies(X1,X0) = X3). % 9.07/1.54 cnf(c9, plain, % 9.07/1.54 $false, % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])). % 9.07/1.54 cnf(c10, plain, % 9.07/1.54 ~is_a_theorem(X4) | ~is_a_theorem(implies(X4,X3)), % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])). % 9.07/1.54 % 9.07/1.54 cnf(c11, axiom, % 9.07/1.54 is_a_theorem(X5) | ~is_a_theorem(X6) | ~is_a_theorem(implies(X6,X5))). % 9.07/1.54 cnf(a3, assumption, % 9.07/1.54 X4 = X5). % 9.07/1.54 cnf(c12, plain, % 9.07/1.54 ~is_a_theorem(implies(X4,X3)), % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 9.07/1.54 cnf(c13, plain, % 9.07/1.54 ~is_a_theorem(X6) | ~is_a_theorem(implies(X6,X5)), % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 9.07/1.54 % 9.07/1.54 cnf(c14, axiom, % 9.07/1.54 is_a_theorem(X7) | ~is_a_theorem(X8) | ~is_a_theorem(implies(X8,X7))). % 9.07/1.54 cnf(a4, assumption, % 9.07/1.54 X6 = X7). % 9.07/1.54 cnf(c15, plain, % 9.07/1.54 ~is_a_theorem(implies(X6,X5)), % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 9.07/1.54 cnf(c16, plain, % 9.07/1.54 ~is_a_theorem(X8) | ~is_a_theorem(implies(X8,X7)), % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 9.07/1.54 % 9.07/1.54 cnf(c17, axiom, % 9.07/1.54 is_a_theorem(X9) | ~is_a_theorem(X10) | ~is_a_theorem(implies(X10,X9))). % 9.07/1.54 cnf(a5, assumption, % 9.07/1.54 X8 = X9). % 9.07/1.54 cnf(c18, plain, % 9.07/1.54 ~is_a_theorem(implies(X8,X7)), % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 9.07/1.54 cnf(c19, plain, % 9.07/1.54 ~is_a_theorem(X10) | ~is_a_theorem(implies(X10,X9)), % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 9.07/1.54 % 9.07/1.54 cnf(c20, axiom, % 9.07/1.54 is_a_theorem(implies(implies(not(X11),X11),X11))). % 9.07/1.54 cnf(a6, assumption, % 9.07/1.54 X10 = implies(implies(not(X11),X11),X11)). % 9.07/1.54 cnf(c21, plain, % 9.07/1.54 ~is_a_theorem(implies(X10,X9)), % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 9.07/1.54 cnf(c22, plain, % 9.07/1.54 $false, % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 9.07/1.54 % 9.07/1.54 cnf(c23, axiom, % 9.07/1.54 is_a_theorem(implies(X12,implies(not(X12),X13)))). % 9.07/1.54 cnf(a7, assumption, % 9.07/1.54 implies(X10,X9) = implies(X12,implies(not(X12),X13))). % 9.07/1.54 cnf(c24, plain, % 9.07/1.54 $false, % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a7])], [c21, c23])). % 9.07/1.54 cnf(c25, plain, % 9.07/1.54 $false, % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a7])], [c21, c23])). % 9.07/1.54 % 9.07/1.54 cnf(c26, axiom, % 9.07/1.54 is_a_theorem(implies(implies(X14,X15),implies(implies(X15,X16),implies(X14,X16))))). % 9.07/1.54 cnf(a8, assumption, % 9.07/1.54 implies(X8,X7) = implies(implies(X14,X15),implies(implies(X15,X16),implies(X14,X16)))). % 9.07/1.54 cnf(c27, plain, % 9.07/1.54 $false, % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a8])], [c18, c26])). % 9.07/1.54 cnf(c28, plain, % 9.07/1.54 $false, % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a8])], [c18, c26])). % 9.07/1.54 % 9.07/1.54 cnf(c29, axiom, % 9.07/1.54 is_a_theorem(X17) | ~is_a_theorem(X18) | ~is_a_theorem(implies(X18,X17))). % 9.07/1.54 cnf(a9, assumption, % 9.07/1.54 implies(X6,X5) = X17). % 9.07/1.54 cnf(c30, plain, % 9.07/1.54 $false, % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a9])], [c15, c29])). % 9.07/1.54 cnf(c31, plain, % 9.07/1.54 ~is_a_theorem(X18) | ~is_a_theorem(implies(X18,X17)), % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a9])], [c15, c29])). % 9.07/1.54 % 9.07/1.54 cnf(c32, axiom, % 9.07/1.54 is_a_theorem(implies(X19,implies(not(X19),X20)))). % 9.07/1.54 cnf(a10, assumption, % 9.07/1.54 X18 = implies(X19,implies(not(X19),X20))). % 9.07/1.54 cnf(c33, plain, % 9.07/1.54 ~is_a_theorem(implies(X18,X17)), % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a10])], [c31, c32])). % 9.07/1.54 cnf(c34, plain, % 9.07/1.54 $false, % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a10])], [c31, c32])). % 9.07/1.54 % 9.07/1.54 cnf(c35, axiom, % 9.07/1.54 is_a_theorem(implies(implies(X21,X22),implies(implies(X22,X23),implies(X21,X23))))). % 9.07/1.54 cnf(a11, assumption, % 9.07/1.54 implies(X18,X17) = implies(implies(X21,X22),implies(implies(X22,X23),implies(X21,X23)))). % 9.07/1.54 cnf(c36, plain, % 9.07/1.54 $false, % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a11])], [c33, c35])). % 9.07/1.54 cnf(c37, plain, % 9.07/1.54 $false, % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a11])], [c33, c35])). % 9.07/1.54 % 9.07/1.54 cnf(c38, axiom, % 9.07/1.54 is_a_theorem(implies(implies(X24,X25),implies(implies(X25,X26),implies(X24,X26))))). % 9.07/1.54 cnf(a12, assumption, % 9.07/1.54 implies(X4,X3) = implies(implies(X24,X25),implies(implies(X25,X26),implies(X24,X26)))). % 9.07/1.54 cnf(c39, plain, % 9.07/1.54 $false, % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a12])], [c12, c38])). % 9.07/1.54 cnf(c40, plain, % 9.07/1.54 $false, % 9.07/1.54 inference(strict_predicate_extension, [assumptions([a12])], [c12, c38])). % 9.07/1.54 % 9.07/1.54 cnf(c41, plain, % 9.07/1.54 $false, % 9.07/1.54 inference(constraint_solving, [ % 9.07/1.54 bind(X0, implies(x,implies(implies(not(y),y),y))), % 9.07/1.54 bind(X1, implies(implies(not(X2),X2),X2)), % 9.07/1.54 bind(X2, implies(implies(not(X11),X11),X11)), % 9.07/1.54 bind(X3, implies(X1,X0)), % 9.07/1.54 bind(X4, implies(X21,X23)), % 9.07/1.54 bind(X5, implies(X21,X23)), % 9.07/1.54 bind(X6, implies(implies(X15,X16),implies(X14,X16))), % 9.07/1.54 bind(X7, implies(implies(X15,X16),implies(X14,X16))), % 9.07/1.54 bind(X8, implies(not(X12),X13)), % 9.07/1.54 bind(X9, implies(not(X12),X13)), % 9.07/1.54 bind(X10, implies(implies(not(X11),X11),X11)), % 9.07/1.54 bind(X11, y), % 9.07/1.54 bind(X12, implies(implies(not(X11),X11),X11)), % 9.07/1.54 bind(X13, not(X19)), % 9.07/1.54 bind(X14, not(X12)), % 9.07/1.54 bind(X15, not(X19)), % 9.07/1.54 bind(X16, implies(implies(not(X11),X11),X11)), % 9.07/1.54 bind(X17, implies(X6,X5)), % 9.07/1.54 bind(X18, implies(X19,implies(not(X19),X20))), % 9.07/1.54 bind(X19, x), % 9.07/1.54 bind(X20, implies(implies(not(X11),X11),X11)), % 9.07/1.54 bind(X21, x), % 9.07/1.54 bind(X22, implies(not(X19),X20)), % 9.07/1.54 bind(X23, implies(X14,X16)), % 9.07/1.54 bind(X24, x), % 9.07/1.54 bind(X25, implies(X14,X16)), % 9.07/1.54 bind(X26, implies(implies(not(X11),X11),X11)) % 9.07/1.54 ], % 9.07/1.54 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12])). % 9.07/1.54 % 9.07/1.54 % SZS output end IncompleteProof %------------------------------------------------------------------------------