%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL361-1 : 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 : n001.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 0.13s 0.37s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL361-1 : TPTP v9.3.1. Released v2.3.0. % 0.00/0.03 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.08/0.35 % Computer : n001.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Sat Sep 5 01:39:45 UTC 2026 % 0.08/0.35 % CPUTime : % 0.13/0.37 % SZS status Unsatisfiable % 0.13/0.37 % SZS output begin IncompleteProof % 0.13/0.37 cnf(c0, axiom, % 0.13/0.37 ~is_a_theorem(implies(x,implies(implies(implies(not(x),x),x),implies(implies(y,x),x))))). % 0.13/0.37 cnf(c1, plain, % 0.13/0.37 ~is_a_theorem(implies(x,implies(implies(implies(not(x),x),x),implies(implies(y,x),x)))), % 0.13/0.37 inference(start, [], [c0])). % 0.13/0.37 % 0.13/0.37 cnf(c2, axiom, % 0.13/0.37 is_a_theorem(X0) | ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0))). % 0.13/0.37 cnf(a0, assumption, % 0.13/0.37 implies(x,implies(implies(implies(not(x),x),x),implies(implies(y,x),x))) = X0). % 0.13/0.37 cnf(c3, plain, % 0.13/0.37 $false, % 0.13/0.37 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.13/0.37 cnf(c4, plain, % 0.13/0.37 ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0)), % 0.13/0.37 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.13/0.37 % 0.13/0.37 cnf(c5, axiom, % 0.13/0.37 is_a_theorem(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))))). % 0.13/0.37 cnf(a1, assumption, % 0.13/0.37 X1 = implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4)))). % 0.13/0.37 cnf(c6, plain, % 0.13/0.37 ~is_a_theorem(implies(X1,X0)), % 0.13/0.37 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.13/0.37 cnf(c7, plain, % 0.13/0.37 $false, % 0.13/0.37 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.13/0.37 % 0.13/0.37 cnf(c8, axiom, % 0.13/0.37 is_a_theorem(X5) | ~is_a_theorem(X6) | ~is_a_theorem(implies(X6,X5))). % 0.13/0.37 cnf(a2, assumption, % 0.13/0.37 implies(X1,X0) = X5). % 0.13/0.37 cnf(c9, plain, % 0.13/0.37 $false, % 0.13/0.37 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])). % 0.13/0.37 cnf(c10, plain, % 0.13/0.37 ~is_a_theorem(X6) | ~is_a_theorem(implies(X6,X5)), % 0.13/0.37 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])). % 0.13/0.37 % 0.13/0.37 cnf(c11, axiom, % 0.13/0.37 is_a_theorem(X7) | ~is_a_theorem(X8) | ~is_a_theorem(implies(X8,X7))). % 0.13/0.37 cnf(a3, assumption, % 0.13/0.37 X6 = X7). % 0.13/0.37 cnf(c12, plain, % 0.13/0.37 ~is_a_theorem(implies(X6,X5)), % 0.13/0.37 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 0.13/0.37 cnf(c13, plain, % 0.13/0.37 ~is_a_theorem(X8) | ~is_a_theorem(implies(X8,X7)), % 0.13/0.37 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 0.13/0.37 % 0.13/0.37 cnf(c14, axiom, % 0.13/0.37 is_a_theorem(implies(implies(X9,X10),implies(implies(X10,X11),implies(X9,X11))))). % 0.13/0.37 cnf(a4, assumption, % 0.13/0.37 X8 = implies(implies(X9,X10),implies(implies(X10,X11),implies(X9,X11)))). % 0.13/0.37 cnf(c15, plain, % 0.13/0.37 ~is_a_theorem(implies(X8,X7)), % 0.13/0.37 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 0.13/0.37 cnf(c16, plain, % 0.13/0.37 $false, % 0.13/0.37 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 0.13/0.37 % 0.13/0.37 cnf(c17, axiom, % 0.13/0.37 is_a_theorem(X12) | ~is_a_theorem(X13) | ~is_a_theorem(implies(X13,X12))). % 0.13/0.37 cnf(a5, assumption, % 0.13/0.37 implies(X8,X7) = X12). % 0.13/0.37 cnf(c18, plain, % 0.13/0.37 $false, % 0.13/0.37 inference(strict_predicate_extension, [assumptions([a5])], [c15, c17])). % 0.13/0.37 cnf(c19, plain, % 0.13/0.37 ~is_a_theorem(X13) | ~is_a_theorem(implies(X13,X12)), % 0.13/0.37 inference(strict_predicate_extension, [assumptions([a5])], [c15, c17])). % 0.13/0.37 % 0.13/0.37 cnf(c20, axiom, % 0.13/0.37 is_a_theorem(implies(X14,implies(not(X14),X15)))). % 0.13/0.37 cnf(a6, assumption, % 0.13/0.37 X13 = implies(X14,implies(not(X14),X15))). % 0.13/0.37 cnf(c21, plain, % 0.13/0.37 ~is_a_theorem(implies(X13,X12)), % 0.13/0.37 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 0.13/0.37 cnf(c22, plain, % 0.13/0.37 $false, % 0.13/0.37 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 0.13/0.37 % 0.13/0.37 cnf(c23, axiom, % 0.13/0.37 is_a_theorem(implies(implies(X16,X17),implies(implies(X17,X18),implies(X16,X18))))). % 0.13/0.37 cnf(a7, assumption, % 0.13/0.37 implies(X13,X12) = implies(implies(X16,X17),implies(implies(X17,X18),implies(X16,X18)))). % 0.13/0.37 cnf(c24, plain, % 0.13/0.37 $false, % 0.13/0.37 inference(strict_predicate_extension, [assumptions([a7])], [c21, c23])). % 0.13/0.37 cnf(c25, plain, % 0.13/0.37 $false, % 0.13/0.37 inference(strict_predicate_extension, [assumptions([a7])], [c21, c23])). % 0.13/0.37 % 0.13/0.37 cnf(c26, axiom, % 0.13/0.37 is_a_theorem(implies(implies(X19,X20),implies(implies(X20,X21),implies(X19,X21))))). % 0.13/0.37 cnf(a8, assumption, % 0.13/0.37 implies(X6,X5) = implies(implies(X19,X20),implies(implies(X20,X21),implies(X19,X21)))). % 0.13/0.37 cnf(c27, plain, % 0.13/0.37 $false, % 0.13/0.37 inference(strict_predicate_extension, [assumptions([a8])], [c12, c26])). % 0.13/0.37 cnf(c28, plain, % 0.13/0.37 $false, % 0.13/0.37 inference(strict_predicate_extension, [assumptions([a8])], [c12, c26])). % 0.13/0.37 % 0.13/0.37 cnf(c29, plain, % 0.13/0.37 $false, % 0.13/0.37 inference(constraint_solving, [ % 0.13/0.37 bind(X0, implies(x,implies(implies(implies(not(x),x),x),implies(implies(y,x),x)))), % 0.13/0.37 bind(X1, implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4)))), % 0.13/0.37 bind(X2, implies(X10,X11)), % 0.13/0.37 bind(X3, implies(X9,X11)), % 0.13/0.37 bind(X4, x), % 0.13/0.37 bind(X5, implies(X1,X0)), % 0.13/0.37 bind(X6, implies(X16,X18)), % 0.13/0.37 bind(X7, implies(X16,X18)), % 0.13/0.37 bind(X8, implies(implies(X9,X10),implies(implies(X10,X11),implies(X9,X11)))), % 0.13/0.37 bind(X9, not(X14)), % 0.13/0.37 bind(X10, y), % 0.13/0.37 bind(X11, x), % 0.13/0.37 bind(X12, implies(X8,X7)), % 0.13/0.37 bind(X13, implies(X14,implies(not(X14),X15))), % 0.13/0.37 bind(X14, x), % 0.13/0.37 bind(X15, y), % 0.13/0.37 bind(X16, x), % 0.13/0.37 bind(X17, implies(not(X14),X15)), % 0.13/0.37 bind(X18, implies(implies(X10,X11),implies(X9,X11))), % 0.13/0.37 bind(X19, x), % 0.13/0.37 bind(X20, implies(implies(X10,X11),implies(X9,X11))), % 0.13/0.37 bind(X21, implies(implies(X3,X4),implies(X2,X4))) % 0.13/0.37 ], % 0.13/0.37 [a0, a1, a2, a3, a4, a5, a6, a7, a8])). % 0.13/0.37 % 0.13/0.37 % SZS output end IncompleteProof %------------------------------------------------------------------------------