%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL066-1 : 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 : n008.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 12:28:06 PM UTC 2026 % Result : Unsatisfiable 138.65s 17.89s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL066-1 : 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 % 0.08/0.34 % Computer : n008.cluster.edu % 0.08/0.34 % Model : x86_64 x86_64 % 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.34 % Memory : 8046.5625MB % 0.08/0.34 % OS : Linux 6.8.0-71-generic % 0.08/0.34 % CPULimit : 300 % 0.08/0.34 % WCLimit : 300 % 0.08/0.34 % DateTime : Fri Sep 4 21:02:38 UTC 2026 % 0.08/0.35 % CPUTime : % 138.65/17.89 % SZS status Unsatisfiable % 138.65/17.89 % SZS output begin IncompleteProof % 138.65/17.89 cnf(c0, axiom, % 138.65/17.89 ~is_a_theorem(implies(a,implies(not(a),b)))). % 138.65/17.89 cnf(c1, plain, % 138.65/17.89 ~is_a_theorem(implies(a,implies(not(a),b))), % 138.65/17.89 inference(start, [], [c0])). % 138.65/17.89 % 138.65/17.89 cnf(c2, axiom, % 138.65/17.89 is_a_theorem(X0) | ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0))). % 138.65/17.89 cnf(a0, assumption, % 138.65/17.89 implies(a,implies(not(a),b)) = X0). % 138.65/17.89 cnf(c3, plain, % 138.65/17.89 $false, % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 138.65/17.89 cnf(c4, plain, % 138.65/17.89 ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0)), % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 138.65/17.89 % 138.65/17.89 cnf(c5, axiom, % 138.65/17.89 is_a_theorem(implies(X2,implies(X3,X2)))). % 138.65/17.89 cnf(a1, assumption, % 138.65/17.89 X1 = implies(X2,implies(X3,X2))). % 138.65/17.89 cnf(c6, plain, % 138.65/17.89 ~is_a_theorem(implies(X1,X0)), % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 138.65/17.89 cnf(c7, plain, % 138.65/17.89 $false, % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 138.65/17.89 % 138.65/17.89 cnf(c8, axiom, % 138.65/17.89 is_a_theorem(X4) | ~is_a_theorem(X5) | ~is_a_theorem(implies(X5,X4))). % 138.65/17.89 cnf(a2, assumption, % 138.65/17.89 implies(X1,X0) = X4). % 138.65/17.89 cnf(c9, plain, % 138.65/17.89 $false, % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])). % 138.65/17.89 cnf(c10, plain, % 138.65/17.89 ~is_a_theorem(X5) | ~is_a_theorem(implies(X5,X4)), % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])). % 138.65/17.89 % 138.65/17.89 cnf(c11, axiom, % 138.65/17.89 is_a_theorem(X6) | ~is_a_theorem(X7) | ~is_a_theorem(implies(X7,X6))). % 138.65/17.89 cnf(a3, assumption, % 138.65/17.89 X5 = X6). % 138.65/17.89 cnf(c12, plain, % 138.65/17.89 ~is_a_theorem(implies(X5,X4)), % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 138.65/17.89 cnf(c13, plain, % 138.65/17.89 ~is_a_theorem(X7) | ~is_a_theorem(implies(X7,X6)), % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 138.65/17.89 % 138.65/17.89 cnf(c14, axiom, % 138.65/17.89 is_a_theorem(X8) | ~is_a_theorem(X9) | ~is_a_theorem(implies(X9,X8))). % 138.65/17.89 cnf(a4, assumption, % 138.65/17.89 X7 = X8). % 138.65/17.89 cnf(c15, plain, % 138.65/17.89 ~is_a_theorem(implies(X7,X6)), % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 138.65/17.89 cnf(c16, plain, % 138.65/17.89 ~is_a_theorem(X9) | ~is_a_theorem(implies(X9,X8)), % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 138.65/17.89 % 138.65/17.89 cnf(c17, axiom, % 138.65/17.89 is_a_theorem(X10) | ~is_a_theorem(X11) | ~is_a_theorem(implies(X11,X10))). % 138.65/17.89 cnf(a5, assumption, % 138.65/17.89 X9 = X10). % 138.65/17.89 cnf(c18, plain, % 138.65/17.89 ~is_a_theorem(implies(X9,X8)), % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 138.65/17.89 cnf(c19, plain, % 138.65/17.89 ~is_a_theorem(X11) | ~is_a_theorem(implies(X11,X10)), % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 138.65/17.89 % 138.65/17.89 cnf(c20, axiom, % 138.65/17.89 is_a_theorem(implies(X12,implies(X13,X12)))). % 138.65/17.89 cnf(a6, assumption, % 138.65/17.89 X11 = implies(X12,implies(X13,X12))). % 138.65/17.89 cnf(c21, plain, % 138.65/17.89 ~is_a_theorem(implies(X11,X10)), % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 138.65/17.89 cnf(c22, plain, % 138.65/17.89 $false, % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 138.65/17.89 % 138.65/17.89 cnf(c23, axiom, % 138.65/17.89 is_a_theorem(X14) | ~is_a_theorem(X15) | ~is_a_theorem(implies(X15,X14))). % 138.65/17.89 cnf(a7, assumption, % 138.65/17.89 implies(X11,X10) = X14). % 138.65/17.89 cnf(c24, plain, % 138.65/17.89 $false, % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a7])], [c21, c23])). % 138.65/17.89 cnf(c25, plain, % 138.65/17.89 ~is_a_theorem(X15) | ~is_a_theorem(implies(X15,X14)), % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a7])], [c21, c23])). % 138.65/17.89 % 138.65/17.89 cnf(c26, axiom, % 138.65/17.89 is_a_theorem(X16) | ~is_a_theorem(X17) | ~is_a_theorem(implies(X17,X16))). % 138.65/17.89 cnf(a8, assumption, % 138.65/17.89 X15 = X16). % 138.65/17.89 cnf(c27, plain, % 138.65/17.89 ~is_a_theorem(implies(X15,X14)), % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a8])], [c25, c26])). % 138.65/17.89 cnf(c28, plain, % 138.65/17.89 ~is_a_theorem(X17) | ~is_a_theorem(implies(X17,X16)), % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a8])], [c25, c26])). % 138.65/17.89 % 138.65/17.89 cnf(c29, axiom, % 138.65/17.89 is_a_theorem(implies(implies(not(X18),not(X19)),implies(X19,X18)))). % 138.65/17.89 cnf(a9, assumption, % 138.65/17.89 X17 = implies(implies(not(X18),not(X19)),implies(X19,X18))). % 138.65/17.89 cnf(c30, plain, % 138.65/17.89 ~is_a_theorem(implies(X17,X16)), % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])). % 138.65/17.89 cnf(c31, plain, % 138.65/17.89 $false, % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])). % 138.65/17.89 % 138.65/17.89 cnf(c32, axiom, % 138.65/17.89 is_a_theorem(implies(X20,implies(X21,X20)))). % 138.65/17.89 cnf(a10, assumption, % 138.65/17.89 implies(X17,X16) = implies(X20,implies(X21,X20))). % 138.65/17.89 cnf(c33, plain, % 138.65/17.89 $false, % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a10])], [c30, c32])). % 138.65/17.89 cnf(c34, plain, % 138.65/17.89 $false, % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a10])], [c30, c32])). % 138.65/17.89 % 138.65/17.89 cnf(c35, axiom, % 138.65/17.89 is_a_theorem(implies(implies(X22,implies(X23,X24)),implies(implies(X22,X23),implies(X22,X24))))). % 138.65/17.89 cnf(a11, assumption, % 138.65/17.89 implies(X15,X14) = implies(implies(X22,implies(X23,X24)),implies(implies(X22,X23),implies(X22,X24)))). % 138.65/17.89 cnf(c36, plain, % 138.65/17.89 $false, % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a11])], [c27, c35])). % 138.65/17.89 cnf(c37, plain, % 138.65/17.89 $false, % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a11])], [c27, c35])). % 138.65/17.89 % 138.65/17.89 cnf(c38, axiom, % 138.65/17.89 is_a_theorem(implies(implies(X25,implies(X26,X27)),implies(implies(X25,X26),implies(X25,X27))))). % 138.65/17.89 cnf(a12, assumption, % 138.65/17.89 implies(X9,X8) = implies(implies(X25,implies(X26,X27)),implies(implies(X25,X26),implies(X25,X27)))). % 138.65/17.89 cnf(c39, plain, % 138.65/17.89 $false, % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a12])], [c18, c38])). % 138.65/17.89 cnf(c40, plain, % 138.65/17.89 $false, % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a12])], [c18, c38])). % 138.65/17.89 % 138.65/17.89 cnf(c41, axiom, % 138.65/17.89 is_a_theorem(implies(X28,implies(X29,X28)))). % 138.65/17.89 cnf(a13, assumption, % 138.65/17.89 implies(X7,X6) = implies(X28,implies(X29,X28))). % 138.65/17.89 cnf(c42, plain, % 138.65/17.89 $false, % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a13])], [c15, c41])). % 138.65/17.89 cnf(c43, plain, % 138.65/17.89 $false, % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a13])], [c15, c41])). % 138.65/17.89 % 138.65/17.89 cnf(c44, axiom, % 138.65/17.89 is_a_theorem(implies(implies(X30,implies(X31,X32)),implies(implies(X30,X31),implies(X30,X32))))). % 138.65/17.89 cnf(a14, assumption, % 138.65/17.89 implies(X5,X4) = implies(implies(X30,implies(X31,X32)),implies(implies(X30,X31),implies(X30,X32)))). % 138.65/17.89 cnf(c45, plain, % 138.65/17.89 $false, % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a14])], [c12, c44])). % 138.65/17.89 cnf(c46, plain, % 138.65/17.89 $false, % 138.65/17.89 inference(strict_predicate_extension, [assumptions([a14])], [c12, c44])). % 138.65/17.89 % 138.65/17.89 cnf(c47, plain, % 138.65/17.89 $false, % 138.65/17.89 inference(constraint_solving, [ % 138.65/17.89 bind(X0, implies(a,implies(not(a),b))), % 138.65/17.89 bind(X1, implies(X2,implies(X3,X2))), % 138.65/17.89 bind(X2, a), % 138.65/17.89 bind(X3, not(X19)), % 138.65/17.89 bind(X4, implies(X1,X0)), % 138.65/17.89 bind(X5, implies(X29,X28)), % 138.65/17.89 bind(X6, implies(X29,X28)), % 138.65/17.89 bind(X7, implies(implies(X25,X26),implies(X25,X27))), % 138.65/17.89 bind(X8, implies(implies(X25,X26),implies(X25,X27))), % 138.65/17.89 bind(X9, implies(X22,X24)), % 138.65/17.89 bind(X10, implies(X22,X24)), % 138.65/17.89 bind(X11, implies(X12,implies(X13,X12))), % 138.65/17.89 bind(X12, not(X19)), % 138.65/17.89 bind(X13, not(X18)), % 138.65/17.89 bind(X14, implies(X11,X10)), % 138.65/17.89 bind(X15, implies(X21,X20)), % 138.65/17.89 bind(X16, implies(X21,X20)), % 138.65/17.89 bind(X17, implies(implies(not(X18),not(X19)),implies(X19,X18))), % 138.65/17.89 bind(X18, b), % 138.65/17.89 bind(X19, a), % 138.65/17.89 bind(X20, implies(implies(not(X18),not(X19)),implies(X19,X18))), % 138.65/17.89 bind(X21, not(X19)), % 138.65/17.89 bind(X22, not(X19)), % 138.65/17.89 bind(X23, implies(not(X18),not(X19))), % 138.65/17.89 bind(X24, implies(X19,X18)), % 138.65/17.89 bind(X25, not(X19)), % 138.65/17.89 bind(X26, a), % 138.65/17.89 bind(X27, b), % 138.65/17.89 bind(X28, implies(implies(X25,X26),implies(X25,X27))), % 138.65/17.89 bind(X29, a), % 138.65/17.89 bind(X30, a), % 138.65/17.89 bind(X31, implies(X25,X26)), % 138.65/17.89 bind(X32, implies(X25,X27)) % 138.65/17.89 ], % 138.65/17.89 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14])). % 138.65/17.89 % 138.65/17.89 % SZS output end IncompleteProof %------------------------------------------------------------------------------