%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL006-1 : 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 : n026.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 12:28:02 PM UTC 2026 % Result : Unsatisfiable 96.46s 12.50s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL006-1 : 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 % 0.07/0.35 % Computer : n026.cluster.edu % 0.07/0.35 % Model : x86_64 x86_64 % 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.35 % Memory : 8046.5625MB % 0.07/0.35 % OS : Linux 6.8.0-71-generic % 0.07/0.35 % CPULimit : 300 % 0.07/0.35 % WCLimit : 300 % 0.07/0.35 % DateTime : Sat Sep 5 11:22:25 UTC 2026 % 0.07/0.35 % CPUTime : % 96.46/12.50 % SZS status Unsatisfiable % 96.46/12.50 % SZS output begin IncompleteProof % 96.46/12.50 cnf(c0, axiom, % 96.46/12.50 ~is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c)))). % 96.46/12.50 cnf(c1, plain, % 96.46/12.50 ~is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))), % 96.46/12.50 inference(start, [], [c0])). % 96.46/12.50 % 96.46/12.50 cnf(c2, axiom, % 96.46/12.50 is_a_theorem(X0) | ~is_a_theorem(X1) | ~is_a_theorem(equivalent(X1,X0))). % 96.46/12.50 cnf(a0, assumption, % 96.46/12.50 equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c)) = X0). % 96.46/12.50 cnf(c3, plain, % 96.46/12.50 $false, % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 96.46/12.50 cnf(c4, plain, % 96.46/12.50 ~is_a_theorem(X1) | ~is_a_theorem(equivalent(X1,X0)), % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 96.46/12.50 % 96.46/12.50 cnf(c5, axiom, % 96.46/12.50 is_a_theorem(X2) | ~is_a_theorem(X3) | ~is_a_theorem(equivalent(X3,X2))). % 96.46/12.50 cnf(a1, assumption, % 96.46/12.50 X1 = X2). % 96.46/12.50 cnf(c6, plain, % 96.46/12.50 ~is_a_theorem(equivalent(X1,X0)), % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 96.46/12.50 cnf(c7, plain, % 96.46/12.50 ~is_a_theorem(X3) | ~is_a_theorem(equivalent(X3,X2)), % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 96.46/12.50 % 96.46/12.50 cnf(c8, axiom, % 96.46/12.50 is_a_theorem(equivalent(equivalent(equivalent(X4,X5),X6),equivalent(X4,equivalent(X5,X6))))). % 96.46/12.50 cnf(a2, assumption, % 96.46/12.50 X3 = equivalent(equivalent(equivalent(X4,X5),X6),equivalent(X4,equivalent(X5,X6)))). % 96.46/12.50 cnf(c9, plain, % 96.46/12.50 ~is_a_theorem(equivalent(X3,X2)), % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 96.46/12.50 cnf(c10, plain, % 96.46/12.50 $false, % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 96.46/12.50 % 96.46/12.50 cnf(c11, axiom, % 96.46/12.50 is_a_theorem(equivalent(equivalent(equivalent(X7,X8),X9),equivalent(X7,equivalent(X8,X9))))). % 96.46/12.50 cnf(a3, assumption, % 96.46/12.50 equivalent(X3,X2) = equivalent(equivalent(equivalent(X7,X8),X9),equivalent(X7,equivalent(X8,X9)))). % 96.46/12.50 cnf(c12, plain, % 96.46/12.50 $false, % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a3])], [c9, c11])). % 96.46/12.50 cnf(c13, plain, % 96.46/12.50 $false, % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a3])], [c9, c11])). % 96.46/12.50 % 96.46/12.50 cnf(c14, axiom, % 96.46/12.50 is_a_theorem(X10) | ~is_a_theorem(X11) | ~is_a_theorem(equivalent(X11,X10))). % 96.46/12.50 cnf(a4, assumption, % 96.46/12.50 equivalent(X1,X0) = X10). % 96.46/12.50 cnf(c15, plain, % 96.46/12.50 $false, % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a4])], [c6, c14])). % 96.46/12.50 cnf(c16, plain, % 96.46/12.50 ~is_a_theorem(X11) | ~is_a_theorem(equivalent(X11,X10)), % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a4])], [c6, c14])). % 96.46/12.50 % 96.46/12.50 cnf(c17, axiom, % 96.46/12.50 is_a_theorem(X12) | ~is_a_theorem(X13) | ~is_a_theorem(equivalent(X13,X12))). % 96.46/12.50 cnf(a5, assumption, % 96.46/12.50 X11 = X12). % 96.46/12.50 cnf(c18, plain, % 96.46/12.50 ~is_a_theorem(equivalent(X11,X10)), % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 96.46/12.50 cnf(c19, plain, % 96.46/12.50 ~is_a_theorem(X13) | ~is_a_theorem(equivalent(X13,X12)), % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 96.46/12.50 % 96.46/12.50 cnf(c20, axiom, % 96.46/12.50 is_a_theorem(X14) | ~is_a_theorem(X15) | ~is_a_theorem(equivalent(X15,X14))). % 96.46/12.50 cnf(a6, assumption, % 96.46/12.50 X13 = X14). % 96.46/12.50 cnf(c21, plain, % 96.46/12.50 ~is_a_theorem(equivalent(X13,X12)), % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 96.46/12.50 cnf(c22, plain, % 96.46/12.50 ~is_a_theorem(X15) | ~is_a_theorem(equivalent(X15,X14)), % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 96.46/12.50 % 96.46/12.50 cnf(c23, axiom, % 96.46/12.50 is_a_theorem(equivalent(equivalent(equivalent(X16,X17),X18),equivalent(X16,equivalent(X17,X18))))). % 96.46/12.50 cnf(a7, assumption, % 96.46/12.50 X15 = equivalent(equivalent(equivalent(X16,X17),X18),equivalent(X16,equivalent(X17,X18)))). % 96.46/12.50 cnf(c24, plain, % 96.46/12.50 ~is_a_theorem(equivalent(X15,X14)), % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 96.46/12.50 cnf(c25, plain, % 96.46/12.50 $false, % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 96.46/12.50 % 96.46/12.50 cnf(c26, axiom, % 96.46/12.50 is_a_theorem(equivalent(equivalent(X19,X20),equivalent(X20,X19)))). % 96.46/12.50 cnf(a8, assumption, % 96.46/12.50 equivalent(X15,X14) = equivalent(equivalent(X19,X20),equivalent(X20,X19))). % 96.46/12.50 cnf(c27, plain, % 96.46/12.50 $false, % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a8])], [c24, c26])). % 96.46/12.50 cnf(c28, plain, % 96.46/12.50 $false, % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a8])], [c24, c26])). % 96.46/12.50 % 96.46/12.50 cnf(c29, axiom, % 96.46/12.50 is_a_theorem(X21) | ~is_a_theorem(X22) | ~is_a_theorem(equivalent(X22,X21))). % 96.46/12.50 cnf(a9, assumption, % 96.46/12.50 equivalent(X13,X12) = X21). % 96.46/12.50 cnf(c30, plain, % 96.46/12.50 $false, % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a9])], [c21, c29])). % 96.46/12.50 cnf(c31, plain, % 96.46/12.50 ~is_a_theorem(X22) | ~is_a_theorem(equivalent(X22,X21)), % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a9])], [c21, c29])). % 96.46/12.50 % 96.46/12.50 cnf(c32, axiom, % 96.46/12.50 is_a_theorem(equivalent(equivalent(equivalent(X23,X24),X25),equivalent(X23,equivalent(X24,X25))))). % 96.46/12.50 cnf(a10, assumption, % 96.46/12.50 X22 = equivalent(equivalent(equivalent(X23,X24),X25),equivalent(X23,equivalent(X24,X25)))). % 96.46/12.50 cnf(c33, plain, % 96.46/12.50 ~is_a_theorem(equivalent(X22,X21)), % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a10])], [c31, c32])). % 96.46/12.50 cnf(c34, plain, % 96.46/12.50 $false, % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a10])], [c31, c32])). % 96.46/12.50 % 96.46/12.50 cnf(c35, axiom, % 96.46/12.50 is_a_theorem(equivalent(equivalent(equivalent(X26,X27),X28),equivalent(X26,equivalent(X27,X28))))). % 96.46/12.50 cnf(a11, assumption, % 96.46/12.50 equivalent(X22,X21) = equivalent(equivalent(equivalent(X26,X27),X28),equivalent(X26,equivalent(X27,X28)))). % 96.46/12.50 cnf(c36, plain, % 96.46/12.50 $false, % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a11])], [c33, c35])). % 96.46/12.50 cnf(c37, plain, % 96.46/12.50 $false, % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a11])], [c33, c35])). % 96.46/12.50 % 96.46/12.50 cnf(c38, axiom, % 96.46/12.50 is_a_theorem(X29) | ~is_a_theorem(X30) | ~is_a_theorem(equivalent(X30,X29))). % 96.46/12.50 cnf(a12, assumption, % 96.46/12.50 equivalent(X11,X10) = X29). % 96.46/12.50 cnf(c39, plain, % 96.46/12.50 $false, % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a12])], [c18, c38])). % 96.46/12.50 cnf(c40, plain, % 96.46/12.50 ~is_a_theorem(X30) | ~is_a_theorem(equivalent(X30,X29)), % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a12])], [c18, c38])). % 96.46/12.50 % 96.46/12.50 cnf(c41, axiom, % 96.46/12.50 is_a_theorem(equivalent(equivalent(equivalent(X31,X32),X33),equivalent(X31,equivalent(X32,X33))))). % 96.46/12.50 cnf(a13, assumption, % 96.46/12.50 X30 = equivalent(equivalent(equivalent(X31,X32),X33),equivalent(X31,equivalent(X32,X33)))). % 96.46/12.50 cnf(c42, plain, % 96.46/12.50 ~is_a_theorem(equivalent(X30,X29)), % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a13])], [c40, c41])). % 96.46/12.50 cnf(c43, plain, % 96.46/12.50 $false, % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a13])], [c40, c41])). % 96.46/12.50 % 96.46/12.50 cnf(c44, axiom, % 96.46/12.50 is_a_theorem(equivalent(equivalent(X34,X35),equivalent(X35,X34)))). % 96.46/12.50 cnf(a14, assumption, % 96.46/12.50 equivalent(X30,X29) = equivalent(equivalent(X34,X35),equivalent(X35,X34))). % 96.46/12.50 cnf(c45, plain, % 96.46/12.50 $false, % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a14])], [c42, c44])). % 96.46/12.50 cnf(c46, plain, % 96.46/12.50 $false, % 96.46/12.50 inference(strict_predicate_extension, [assumptions([a14])], [c42, c44])). % 96.46/12.50 % 96.46/12.50 cnf(c47, plain, % 96.46/12.50 $false, % 96.46/12.50 inference(constraint_solving, [ % 96.46/12.50 bind(X0, equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))), % 96.46/12.50 bind(X1, equivalent(X7,equivalent(X8,X9))), % 96.46/12.50 bind(X2, equivalent(X7,equivalent(X8,X9))), % 96.46/12.50 bind(X3, equivalent(equivalent(equivalent(X4,X5),X6),equivalent(X4,equivalent(X5,X6)))), % 96.46/12.50 bind(X4, b), % 96.46/12.50 bind(X5, c), % 96.46/12.50 bind(X6, a), % 96.46/12.50 bind(X7, equivalent(X4,X5)), % 96.46/12.50 bind(X8, a), % 96.46/12.50 bind(X9, equivalent(X4,equivalent(X5,X6))), % 96.46/12.50 bind(X10, equivalent(X1,X0)), % 96.46/12.50 bind(X11, equivalent(X27,X28)), % 96.46/12.50 bind(X12, equivalent(X27,X28)), % 96.46/12.50 bind(X13, equivalent(X20,X19)), % 96.46/12.50 bind(X14, equivalent(X20,X19)), % 96.46/12.50 bind(X15, equivalent(equivalent(equivalent(X16,X17),X18),equivalent(X16,equivalent(X17,X18)))), % 96.46/12.50 bind(X16, a), % 96.46/12.50 bind(X17, b), % 96.46/12.50 bind(X18, equivalent(X5,X6)), % 96.46/12.50 bind(X19, equivalent(equivalent(X16,X17),X18)), % 96.46/12.50 bind(X20, equivalent(X16,equivalent(X17,X18))), % 96.46/12.50 bind(X21, equivalent(X13,X12)), % 96.46/12.50 bind(X22, equivalent(equivalent(equivalent(X23,X24),X25),equivalent(X23,equivalent(X24,X25)))), % 96.46/12.50 bind(X23, equivalent(X16,equivalent(X17,X18))), % 96.46/12.50 bind(X24, equivalent(equivalent(X16,X17),X18)), % 96.46/12.50 bind(X25, equivalent(X4,X5)), % 96.46/12.50 bind(X26, equivalent(X23,X24)), % 96.46/12.50 bind(X27, equivalent(X4,X5)), % 96.46/12.50 bind(X28, equivalent(X23,equivalent(X24,X25))), % 96.46/12.50 bind(X29, equivalent(X11,X10)), % 96.46/12.50 bind(X30, equivalent(equivalent(equivalent(X31,X32),X33),equivalent(X31,equivalent(X32,X33)))), % 96.46/12.50 bind(X31, equivalent(X4,X5)), % 96.46/12.50 bind(X32, equivalent(X16,equivalent(X17,X18))), % 96.46/12.50 bind(X33, equivalent(X24,X25)), % 96.46/12.50 bind(X34, equivalent(equivalent(X31,X32),X33)), % 96.46/12.50 bind(X35, equivalent(X31,equivalent(X32,X33))) % 96.46/12.50 ], % 96.46/12.50 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14])). % 96.46/12.50 % 96.46/12.50 % SZS output end IncompleteProof %------------------------------------------------------------------------------