%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL102-1 : 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 : n017.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 12:28:09 PM UTC 2026 % Result : Unsatisfiable 174.62s 22.32s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL102-1 : 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 % 0.09/0.35 % Computer : n017.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 17:46:51 UTC 2026 % 0.09/0.35 % CPUTime : % 174.62/22.32 % SZS status Unsatisfiable % 174.62/22.32 % SZS output begin IncompleteProof % 174.62/22.32 cnf(c0, axiom, % 174.62/22.32 ~is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))). % 174.62/22.32 cnf(c1, plain, % 174.62/22.32 ~is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))), % 174.62/22.32 inference(start, [], [c0])). % 174.62/22.32 % 174.62/22.32 cnf(c2, axiom, % 174.62/22.32 is_a_theorem(X0) | ~is_a_theorem(X1) | ~is_a_theorem(equivalent(X1,X0))). % 174.62/22.32 cnf(a0, assumption, % 174.62/22.32 equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))) = X0). % 174.62/22.32 cnf(c3, plain, % 174.62/22.32 $false, % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 174.62/22.32 cnf(c4, plain, % 174.62/22.32 ~is_a_theorem(X1) | ~is_a_theorem(equivalent(X1,X0)), % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 174.62/22.32 % 174.62/22.32 cnf(c5, axiom, % 174.62/22.32 is_a_theorem(X2) | ~is_a_theorem(X3) | ~is_a_theorem(equivalent(X3,X2))). % 174.62/22.32 cnf(a1, assumption, % 174.62/22.32 X1 = X2). % 174.62/22.32 cnf(c6, plain, % 174.62/22.32 ~is_a_theorem(equivalent(X1,X0)), % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 174.62/22.32 cnf(c7, plain, % 174.62/22.32 ~is_a_theorem(X3) | ~is_a_theorem(equivalent(X3,X2)), % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 174.62/22.32 % 174.62/22.32 cnf(c8, axiom, % 174.62/22.32 is_a_theorem(X4) | ~is_a_theorem(X5) | ~is_a_theorem(equivalent(X5,X4))). % 174.62/22.32 cnf(a2, assumption, % 174.62/22.32 X3 = X4). % 174.62/22.32 cnf(c9, plain, % 174.62/22.32 ~is_a_theorem(equivalent(X3,X2)), % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 174.62/22.32 cnf(c10, plain, % 174.62/22.32 ~is_a_theorem(X5) | ~is_a_theorem(equivalent(X5,X4)), % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 174.62/22.32 % 174.62/22.32 cnf(c11, axiom, % 174.62/22.32 is_a_theorem(equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X7),X6))))). % 174.62/22.32 cnf(a3, assumption, % 174.62/22.32 X5 = equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X7),X6)))). % 174.62/22.32 cnf(c12, plain, % 174.62/22.32 ~is_a_theorem(equivalent(X5,X4)), % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 174.62/22.32 cnf(c13, plain, % 174.62/22.32 $false, % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 174.62/22.32 % 174.62/22.32 cnf(c14, axiom, % 174.62/22.32 is_a_theorem(equivalent(equivalent(X9,X10),equivalent(equivalent(X11,X9),equivalent(X11,X10))))). % 174.62/22.32 cnf(a4, assumption, % 174.62/22.32 equivalent(X5,X4) = equivalent(equivalent(X9,X10),equivalent(equivalent(X11,X9),equivalent(X11,X10)))). % 174.62/22.32 cnf(c15, plain, % 174.62/22.32 $false, % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a4])], [c12, c14])). % 174.62/22.32 cnf(c16, plain, % 174.62/22.32 $false, % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a4])], [c12, c14])). % 174.62/22.32 % 174.62/22.32 cnf(c17, axiom, % 174.62/22.32 is_a_theorem(X12) | ~is_a_theorem(X13) | ~is_a_theorem(equivalent(X13,X12))). % 174.62/22.32 cnf(a5, assumption, % 174.62/22.32 equivalent(X3,X2) = X12). % 174.62/22.32 cnf(c18, plain, % 174.62/22.32 $false, % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a5])], [c9, c17])). % 174.62/22.32 cnf(c19, plain, % 174.62/22.32 ~is_a_theorem(X13) | ~is_a_theorem(equivalent(X13,X12)), % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a5])], [c9, c17])). % 174.62/22.32 % 174.62/22.32 cnf(c20, axiom, % 174.62/22.32 is_a_theorem(X14) | ~is_a_theorem(X15) | ~is_a_theorem(equivalent(X15,X14))). % 174.62/22.32 cnf(a6, assumption, % 174.62/22.32 X13 = X14). % 174.62/22.32 cnf(c21, plain, % 174.62/22.32 ~is_a_theorem(equivalent(X13,X12)), % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 174.62/22.32 cnf(c22, plain, % 174.62/22.32 ~is_a_theorem(X15) | ~is_a_theorem(equivalent(X15,X14)), % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 174.62/22.32 % 174.62/22.32 cnf(c23, axiom, % 174.62/22.32 is_a_theorem(equivalent(equivalent(X16,X17),equivalent(equivalent(X18,X16),equivalent(X18,X17))))). % 174.62/22.32 cnf(a7, assumption, % 174.62/22.32 X15 = equivalent(equivalent(X16,X17),equivalent(equivalent(X18,X16),equivalent(X18,X17)))). % 174.62/22.32 cnf(c24, plain, % 174.62/22.32 ~is_a_theorem(equivalent(X15,X14)), % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 174.62/22.32 cnf(c25, plain, % 174.62/22.32 $false, % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 174.62/22.32 % 174.62/22.32 cnf(c26, axiom, % 174.62/22.32 is_a_theorem(X19) | ~is_a_theorem(X20) | ~is_a_theorem(equivalent(X20,X19))). % 174.62/22.32 cnf(a8, assumption, % 174.62/22.32 equivalent(X15,X14) = X19). % 174.62/22.32 cnf(c27, plain, % 174.62/22.32 $false, % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a8])], [c24, c26])). % 174.62/22.32 cnf(c28, plain, % 174.62/22.32 ~is_a_theorem(X20) | ~is_a_theorem(equivalent(X20,X19)), % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a8])], [c24, c26])). % 174.62/22.32 % 174.62/22.32 cnf(c29, axiom, % 174.62/22.32 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X21,X22),equivalent(X21,X23)),equivalent(X22,X23)),X24),X24))). % 174.62/22.32 cnf(a9, assumption, % 174.62/22.32 X20 = equivalent(equivalent(equivalent(equivalent(equivalent(X21,X22),equivalent(X21,X23)),equivalent(X22,X23)),X24),X24)). % 174.62/22.32 cnf(c30, plain, % 174.62/22.32 ~is_a_theorem(equivalent(X20,X19)), % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])). % 174.62/22.32 cnf(c31, plain, % 174.62/22.32 $false, % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])). % 174.62/22.32 % 174.62/22.32 cnf(c32, axiom, % 174.62/22.32 is_a_theorem(equivalent(equivalent(X25,X26),equivalent(equivalent(X27,X25),equivalent(X27,X26))))). % 174.62/22.32 cnf(a10, assumption, % 174.62/22.32 equivalent(X20,X19) = equivalent(equivalent(X25,X26),equivalent(equivalent(X27,X25),equivalent(X27,X26)))). % 174.62/22.32 cnf(c33, plain, % 174.62/22.32 $false, % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a10])], [c30, c32])). % 174.62/22.32 cnf(c34, plain, % 174.62/22.32 $false, % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a10])], [c30, c32])). % 174.62/22.32 % 174.62/22.32 cnf(c35, axiom, % 174.62/22.32 is_a_theorem(equivalent(equivalent(X28,X29),equivalent(equivalent(X30,X28),equivalent(X30,X29))))). % 174.62/22.32 cnf(a11, assumption, % 174.62/22.32 equivalent(X13,X12) = equivalent(equivalent(X28,X29),equivalent(equivalent(X30,X28),equivalent(X30,X29)))). % 174.62/22.32 cnf(c36, plain, % 174.62/22.32 $false, % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a11])], [c21, c35])). % 174.62/22.32 cnf(c37, plain, % 174.62/22.32 $false, % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a11])], [c21, c35])). % 174.62/22.32 % 174.62/22.32 cnf(c38, axiom, % 174.62/22.32 is_a_theorem(X31) | ~is_a_theorem(X32) | ~is_a_theorem(equivalent(X32,X31))). % 174.62/22.32 cnf(a12, assumption, % 174.62/22.32 equivalent(X1,X0) = X31). % 174.62/22.32 cnf(c39, plain, % 174.62/22.32 $false, % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a12])], [c6, c38])). % 174.62/22.32 cnf(c40, plain, % 174.62/22.32 ~is_a_theorem(X32) | ~is_a_theorem(equivalent(X32,X31)), % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a12])], [c6, c38])). % 174.62/22.32 % 174.62/22.32 cnf(c41, axiom, % 174.62/22.32 is_a_theorem(equivalent(equivalent(X33,X34),equivalent(equivalent(X35,X33),equivalent(X35,X34))))). % 174.62/22.32 cnf(a13, assumption, % 174.62/22.32 X32 = equivalent(equivalent(X33,X34),equivalent(equivalent(X35,X33),equivalent(X35,X34)))). % 174.62/22.32 cnf(c42, plain, % 174.62/22.32 ~is_a_theorem(equivalent(X32,X31)), % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a13])], [c40, c41])). % 174.62/22.32 cnf(c43, plain, % 174.62/22.32 $false, % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a13])], [c40, c41])). % 174.62/22.32 % 174.62/22.32 cnf(c44, axiom, % 174.62/22.32 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X36,X37),equivalent(X36,X38)),equivalent(X37,X38)),X39),X39))). % 174.62/22.32 cnf(a14, assumption, % 174.62/22.32 equivalent(X32,X31) = equivalent(equivalent(equivalent(equivalent(equivalent(X36,X37),equivalent(X36,X38)),equivalent(X37,X38)),X39),X39)). % 174.62/22.32 cnf(c45, plain, % 174.62/22.32 $false, % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a14])], [c42, c44])). % 174.62/22.32 cnf(c46, plain, % 174.62/22.32 $false, % 174.62/22.32 inference(strict_predicate_extension, [assumptions([a14])], [c42, c44])). % 174.62/22.32 % 174.62/22.32 cnf(c47, plain, % 174.62/22.32 $false, % 174.62/22.32 inference(constraint_solving, [ % 174.62/22.32 bind(X0, equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))), % 174.62/22.32 bind(X1, equivalent(X30,X29)), % 174.62/22.32 bind(X2, equivalent(X30,X29)), % 174.62/22.32 bind(X3, equivalent(equivalent(X11,X9),equivalent(X11,X10))), % 174.62/22.32 bind(X4, equivalent(equivalent(X11,X9),equivalent(X11,X10))), % 174.62/22.32 bind(X5, equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X7),X6)))), % 174.62/22.32 bind(X6, c), % 174.62/22.32 bind(X7, e), % 174.62/22.32 bind(X8, a), % 174.62/22.32 bind(X9, c), % 174.62/22.32 bind(X10, equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X7),X6))), % 174.62/22.32 bind(X11, equivalent(X22,X23)), % 174.62/22.32 bind(X12, equivalent(X3,X2)), % 174.62/22.32 bind(X13, equivalent(X27,X26)), % 174.62/22.32 bind(X14, equivalent(X27,X26)), % 174.62/22.32 bind(X15, equivalent(equivalent(X16,X17),equivalent(equivalent(X18,X16),equivalent(X18,X17)))), % 174.62/22.32 bind(X16, equivalent(X22,X23)), % 174.62/22.32 bind(X17, equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X7),X6))), % 174.62/22.32 bind(X18, equivalent(equivalent(X21,X22),equivalent(X21,X23))), % 174.62/22.32 bind(X19, equivalent(X15,X14)), % 174.62/22.32 bind(X20, equivalent(equivalent(equivalent(equivalent(equivalent(X21,X22),equivalent(X21,X23)),equivalent(X22,X23)),X24),X24)), % 174.62/22.32 bind(X21, e), % 174.62/22.32 bind(X22, a), % 174.62/22.32 bind(X23, b), % 174.62/22.32 bind(X24, equivalent(X18,X17)), % 174.62/22.32 bind(X25, equivalent(equivalent(equivalent(equivalent(X21,X22),equivalent(X21,X23)),equivalent(X22,X23)),X24)), % 174.62/22.32 bind(X26, equivalent(X18,X17)), % 174.62/22.32 bind(X27, equivalent(X16,X17)), % 174.62/22.32 bind(X28, equivalent(X16,X17)), % 174.62/22.32 bind(X29, equivalent(X18,X17)), % 174.62/22.32 bind(X30, equivalent(X11,X9)), % 174.62/22.32 bind(X31, equivalent(X1,X0)), % 174.62/22.32 bind(X32, equivalent(equivalent(X33,X34),equivalent(equivalent(X35,X33),equivalent(X35,X34)))), % 174.62/22.32 bind(X33, equivalent(equivalent(X36,X37),equivalent(X36,X38))), % 174.62/22.32 bind(X34, equivalent(X37,X38)), % 174.62/22.32 bind(X35, equivalent(X11,X9)), % 174.62/22.32 bind(X36, equivalent(X21,X22)), % 174.62/22.32 bind(X37, equivalent(X21,X23)), % 174.62/22.32 bind(X38, equivalent(equivalent(X8,X7),X6)), % 174.62/22.32 bind(X39, equivalent(equivalent(X35,X33),equivalent(X35,X34))) % 174.62/22.32 ], % 174.62/22.32 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14])). % 174.62/22.32 % 174.62/22.32 % SZS output end IncompleteProof %------------------------------------------------------------------------------