%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL096-1 : 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 : n013.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 12:28:08 PM UTC 2026 % Result : Unsatisfiable 0.13s 0.38s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL096-1 : TPTP v9.3.1. Released v1.0.0. % 0.00/0.03 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.09/0.35 % Computer : n013.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 : Fri Sep 4 15:21:19 UTC 2026 % 0.09/0.35 % CPUTime : % 0.13/0.38 % SZS status Unsatisfiable % 0.13/0.38 % SZS output begin IncompleteProof % 0.13/0.38 cnf(c0, axiom, % 0.13/0.38 ~is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c))). % 0.13/0.38 cnf(c1, plain, % 0.13/0.38 ~is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)), % 0.13/0.38 inference(start, [], [c0])). % 0.13/0.38 % 0.13/0.38 cnf(c2, axiom, % 0.13/0.38 is_a_theorem(X0) | ~is_a_theorem(X1) | ~is_a_theorem(equivalent(X1,X0))). % 0.13/0.38 cnf(a0, assumption, % 0.13/0.38 equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c) = X0). % 0.13/0.38 cnf(c3, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.13/0.38 cnf(c4, plain, % 0.13/0.38 ~is_a_theorem(X1) | ~is_a_theorem(equivalent(X1,X0)), % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.13/0.38 % 0.13/0.38 cnf(c5, axiom, % 0.13/0.38 is_a_theorem(X2) | ~is_a_theorem(X3) | ~is_a_theorem(equivalent(X3,X2))). % 0.13/0.38 cnf(a1, assumption, % 0.13/0.38 X1 = X2). % 0.13/0.38 cnf(c6, plain, % 0.13/0.38 ~is_a_theorem(equivalent(X1,X0)), % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.13/0.38 cnf(c7, plain, % 0.13/0.38 ~is_a_theorem(X3) | ~is_a_theorem(equivalent(X3,X2)), % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.13/0.38 % 0.13/0.38 cnf(c8, axiom, % 0.13/0.38 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8))). % 0.13/0.38 cnf(a2, assumption, % 0.13/0.38 X3 = equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)). % 0.13/0.38 cnf(c9, plain, % 0.13/0.38 ~is_a_theorem(equivalent(X3,X2)), % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 0.13/0.38 cnf(c10, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 0.13/0.38 % 0.13/0.38 cnf(c11, axiom, % 0.13/0.38 is_a_theorem(X9) | ~is_a_theorem(X10) | ~is_a_theorem(equivalent(X10,X9))). % 0.13/0.38 cnf(a3, assumption, % 0.13/0.38 equivalent(X3,X2) = X9). % 0.13/0.38 cnf(c12, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a3])], [c9, c11])). % 0.13/0.38 cnf(c13, plain, % 0.13/0.38 ~is_a_theorem(X10) | ~is_a_theorem(equivalent(X10,X9)), % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a3])], [c9, c11])). % 0.13/0.38 % 0.13/0.38 cnf(c14, axiom, % 0.13/0.38 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),X14),equivalent(equivalent(X12,X13),X14)),X15),X15))). % 0.13/0.38 cnf(a4, assumption, % 0.13/0.38 X10 = equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),X14),equivalent(equivalent(X12,X13),X14)),X15),X15)). % 0.13/0.38 cnf(c15, plain, % 0.13/0.38 ~is_a_theorem(equivalent(X10,X9)), % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 0.13/0.38 cnf(c16, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 0.13/0.38 % 0.13/0.38 cnf(c17, axiom, % 0.13/0.38 is_a_theorem(equivalent(equivalent(equivalent(equivalent(X16,X17),X18),X19),equivalent(equivalent(equivalent(X16,X20),X18),equivalent(equivalent(X17,X20),X19))))). % 0.13/0.38 cnf(a5, assumption, % 0.13/0.38 equivalent(X10,X9) = equivalent(equivalent(equivalent(equivalent(X16,X17),X18),X19),equivalent(equivalent(equivalent(X16,X20),X18),equivalent(equivalent(X17,X20),X19)))). % 0.13/0.38 cnf(c18, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a5])], [c15, c17])). % 0.13/0.38 cnf(c19, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a5])], [c15, c17])). % 0.13/0.38 % 0.13/0.38 cnf(c20, axiom, % 0.13/0.38 is_a_theorem(X21) | ~is_a_theorem(X22) | ~is_a_theorem(equivalent(X22,X21))). % 0.13/0.38 cnf(a6, assumption, % 0.13/0.38 equivalent(X1,X0) = X21). % 0.13/0.38 cnf(c21, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a6])], [c6, c20])). % 0.13/0.38 cnf(c22, plain, % 0.13/0.38 ~is_a_theorem(X22) | ~is_a_theorem(equivalent(X22,X21)), % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a6])], [c6, c20])). % 0.13/0.38 % 0.13/0.38 cnf(c23, axiom, % 0.13/0.38 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X23,X24),equivalent(X23,X25)),equivalent(X24,X25)),X26),X26))). % 0.13/0.38 cnf(a7, assumption, % 0.13/0.38 X22 = equivalent(equivalent(equivalent(equivalent(equivalent(X23,X24),equivalent(X23,X25)),equivalent(X24,X25)),X26),X26)). % 0.13/0.39 cnf(c24, plain, % 0.13/0.39 ~is_a_theorem(equivalent(X22,X21)), % 0.13/0.39 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 0.13/0.39 cnf(c25, plain, % 0.13/0.39 $false, % 0.13/0.39 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 0.13/0.39 % 0.13/0.39 cnf(c26, axiom, % 0.13/0.39 is_a_theorem(equivalent(equivalent(equivalent(equivalent(X27,X28),X29),X30),equivalent(equivalent(equivalent(X27,X31),X29),equivalent(equivalent(X28,X31),X30))))). % 0.13/0.39 cnf(a8, assumption, % 0.13/0.39 equivalent(X22,X21) = equivalent(equivalent(equivalent(equivalent(X27,X28),X29),X30),equivalent(equivalent(equivalent(X27,X31),X29),equivalent(equivalent(X28,X31),X30)))). % 0.13/0.39 cnf(c27, plain, % 0.13/0.39 $false, % 0.13/0.39 inference(strict_predicate_extension, [assumptions([a8])], [c24, c26])). % 0.13/0.39 cnf(c28, plain, % 0.13/0.39 $false, % 0.13/0.39 inference(strict_predicate_extension, [assumptions([a8])], [c24, c26])). % 0.13/0.39 % 0.13/0.39 cnf(c29, plain, % 0.13/0.39 $false, % 0.13/0.39 inference(constraint_solving, [ % 0.13/0.39 bind(X0, equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)), % 0.13/0.39 bind(X1, equivalent(equivalent(X17,X20),X19)), % 0.13/0.39 bind(X2, equivalent(equivalent(X17,X20),X19)), % 0.13/0.39 bind(X3, equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)), % 0.13/0.39 bind(X4, b), % 0.13/0.39 bind(X5, b), % 0.13/0.39 bind(X6, X6), % 0.13/0.39 bind(X7, equivalent(X11,X13)), % 0.13/0.39 bind(X8, c), % 0.13/0.39 bind(X9, equivalent(X3,X2)), % 0.13/0.39 bind(X10, equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),X14),equivalent(equivalent(X12,X13),X14)),X15),X15)), % 0.13/0.39 bind(X11, equivalent(X4,X5)), % 0.13/0.39 bind(X12, equivalent(X4,X6)), % 0.13/0.39 bind(X13, a), % 0.13/0.39 bind(X14, equivalent(equivalent(X5,X6),X7)), % 0.13/0.39 bind(X15, c), % 0.13/0.39 bind(X16, equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),X14)), % 0.13/0.39 bind(X17, equivalent(equivalent(X12,X13),X14)), % 0.13/0.39 bind(X18, c), % 0.13/0.39 bind(X19, c), % 0.13/0.39 bind(X20, c), % 0.13/0.39 bind(X21, equivalent(X1,X0)), % 0.13/0.39 bind(X22, equivalent(equivalent(equivalent(equivalent(equivalent(X23,X24),equivalent(X23,X25)),equivalent(X24,X25)),X26),X26)), % 0.13/0.39 bind(X23, equivalent(X4,X6)), % 0.13/0.39 bind(X24, a), % 0.13/0.39 bind(X25, equivalent(X11,X13)), % 0.13/0.39 bind(X26, c), % 0.13/0.39 bind(X27, equivalent(equivalent(X23,X24),equivalent(X23,X25))), % 0.13/0.39 bind(X28, equivalent(X24,X25)), % 0.13/0.39 bind(X29, c), % 0.13/0.39 bind(X30, c), % 0.13/0.39 bind(X31, c) % 0.13/0.39 ], % 0.13/0.39 [a0, a1, a2, a3, a4, a5, a6, a7, a8])). % 0.13/0.39 % 0.13/0.39 % SZS output end IncompleteProof %------------------------------------------------------------------------------