%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL362-1 : 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 : n027.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 0.10s 0.38s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL362-1 : 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 % 0.10/0.36 % Computer : n027.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 5 21:54:28 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.38 % SZS status Unsatisfiable % 0.10/0.38 % SZS output begin IncompleteProof % 0.10/0.38 cnf(c0, axiom, % 0.10/0.38 ~is_a_theorem(implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y)))). % 0.10/0.38 cnf(c1, plain, % 0.10/0.38 ~is_a_theorem(implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y))), % 0.10/0.38 inference(start, [], [c0])). % 0.10/0.38 % 0.10/0.38 cnf(c2, axiom, % 0.10/0.38 is_a_theorem(X0) | ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0))). % 0.10/0.38 cnf(a0, assumption, % 0.10/0.38 implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y)) = X0). % 0.10/0.38 cnf(c3, plain, % 0.10/0.38 $false, % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.10/0.38 cnf(c4, plain, % 0.10/0.38 ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0)), % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.10/0.38 % 0.10/0.38 cnf(c5, axiom, % 0.10/0.38 is_a_theorem(implies(implies(not(X2),X2),X2))). % 0.10/0.38 cnf(a1, assumption, % 0.10/0.38 X1 = implies(implies(not(X2),X2),X2)). % 0.10/0.38 cnf(c6, plain, % 0.10/0.38 ~is_a_theorem(implies(X1,X0)), % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.10/0.38 cnf(c7, plain, % 0.10/0.38 $false, % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.10/0.38 % 0.10/0.38 cnf(c8, axiom, % 0.10/0.38 is_a_theorem(X3) | ~is_a_theorem(X4) | ~is_a_theorem(implies(X4,X3))). % 0.10/0.38 cnf(a2, assumption, % 0.10/0.38 implies(X1,X0) = X3). % 0.10/0.38 cnf(c9, plain, % 0.10/0.38 $false, % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])). % 0.10/0.38 cnf(c10, plain, % 0.10/0.38 ~is_a_theorem(X4) | ~is_a_theorem(implies(X4,X3)), % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])). % 0.10/0.38 % 0.10/0.38 cnf(c11, axiom, % 0.10/0.38 is_a_theorem(X5) | ~is_a_theorem(X6) | ~is_a_theorem(implies(X6,X5))). % 0.10/0.38 cnf(a3, assumption, % 0.10/0.38 X4 = X5). % 0.10/0.38 cnf(c12, plain, % 0.10/0.38 ~is_a_theorem(implies(X4,X3)), % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 0.10/0.38 cnf(c13, plain, % 0.10/0.38 ~is_a_theorem(X6) | ~is_a_theorem(implies(X6,X5)), % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 0.10/0.38 % 0.10/0.38 cnf(c14, axiom, % 0.10/0.38 is_a_theorem(X7) | ~is_a_theorem(X8) | ~is_a_theorem(implies(X8,X7))). % 0.10/0.38 cnf(a4, assumption, % 0.10/0.38 X6 = X7). % 0.10/0.38 cnf(c15, plain, % 0.10/0.38 ~is_a_theorem(implies(X6,X5)), % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 0.10/0.38 cnf(c16, plain, % 0.10/0.38 ~is_a_theorem(X8) | ~is_a_theorem(implies(X8,X7)), % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 0.10/0.38 % 0.10/0.38 cnf(c17, axiom, % 0.10/0.38 is_a_theorem(implies(implies(not(X9),X9),X9))). % 0.10/0.38 cnf(a5, assumption, % 0.10/0.38 X8 = implies(implies(not(X9),X9),X9)). % 0.10/0.38 cnf(c18, plain, % 0.10/0.38 ~is_a_theorem(implies(X8,X7)), % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 0.10/0.38 cnf(c19, plain, % 0.10/0.38 $false, % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 0.10/0.38 % 0.10/0.38 cnf(c20, axiom, % 0.10/0.38 is_a_theorem(implies(X10,implies(not(X10),X11)))). % 0.10/0.38 cnf(a6, assumption, % 0.10/0.38 implies(X8,X7) = implies(X10,implies(not(X10),X11))). % 0.10/0.38 cnf(c21, plain, % 0.10/0.38 $false, % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a6])], [c18, c20])). % 0.10/0.38 cnf(c22, plain, % 0.10/0.38 $false, % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a6])], [c18, c20])). % 0.10/0.38 % 0.10/0.38 cnf(c23, axiom, % 0.10/0.38 is_a_theorem(implies(implies(X12,X13),implies(implies(X13,X14),implies(X12,X14))))). % 0.10/0.38 cnf(a7, assumption, % 0.10/0.38 implies(X6,X5) = implies(implies(X12,X13),implies(implies(X13,X14),implies(X12,X14)))). % 0.10/0.38 cnf(c24, plain, % 0.10/0.38 $false, % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a7])], [c15, c23])). % 0.10/0.38 cnf(c25, plain, % 0.10/0.38 $false, % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a7])], [c15, c23])). % 0.10/0.38 % 0.10/0.38 cnf(c26, axiom, % 0.10/0.38 is_a_theorem(implies(implies(X15,X16),implies(implies(X16,X17),implies(X15,X17))))). % 0.10/0.38 cnf(a8, assumption, % 0.10/0.38 implies(X4,X3) = implies(implies(X15,X16),implies(implies(X16,X17),implies(X15,X17)))). % 0.10/0.38 cnf(c27, plain, % 0.10/0.38 $false, % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a8])], [c12, c26])). % 0.10/0.38 cnf(c28, plain, % 0.10/0.38 $false, % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a8])], [c12, c26])). % 0.10/0.38 % 0.10/0.38 cnf(c29, plain, % 0.10/0.38 $false, % 0.10/0.38 inference(constraint_solving, [ % 0.10/0.38 bind(X0, implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y))), % 0.10/0.38 bind(X1, implies(implies(not(X2),X2),X2)), % 0.10/0.38 bind(X2, implies(implies(not(X9),X9),X9)), % 0.10/0.38 bind(X3, implies(X1,X0)), % 0.10/0.38 bind(X4, implies(implies(X13,X14),implies(X12,X14))), % 0.10/0.38 bind(X5, implies(implies(X13,X14),implies(X12,X14))), % 0.10/0.38 bind(X6, implies(not(X10),X11)), % 0.10/0.38 bind(X7, implies(not(X10),X11)), % 0.10/0.38 bind(X8, implies(implies(not(X9),X9),X9)), % 0.10/0.38 bind(X9, y), % 0.10/0.38 bind(X10, implies(implies(not(X9),X9),X9)), % 0.10/0.38 bind(X11, x), % 0.10/0.38 bind(X12, not(X10)), % 0.10/0.38 bind(X13, x), % 0.10/0.38 bind(X14, implies(implies(not(X9),X9),X9)), % 0.10/0.38 bind(X15, implies(X13,X14)), % 0.10/0.38 bind(X16, implies(X12,X14)), % 0.10/0.38 bind(X17, implies(implies(not(X9),X9),X9)) % 0.10/0.38 ], % 0.10/0.38 [a0, a1, a2, a3, a4, a5, a6, a7, a8])). % 0.10/0.38 % 0.10/0.38 % SZS output end IncompleteProof %------------------------------------------------------------------------------