TSTP Solution File: LCL098-1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : LCL098-1 : TPTP v8.1.0. 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 : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 12:06:50 EDT 2022
% Result : Unsatisfiable 0.19s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : LCL098-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 4 21:11:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.38 % SZS status Unsatisfiable
% 0.19/0.38 % SZS output begin IncompleteProof
% 0.19/0.38 cnf(c0, axiom,
% 0.19/0.38 ~is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))).
% 0.19/0.38 cnf(c1, plain,
% 0.19/0.38 ~is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),
% 0.19/0.38 inference(start, [], [c0])).
% 0.19/0.38
% 0.19/0.38 cnf(c2, axiom,
% 0.19/0.38 is_a_theorem(X0) | ~is_a_theorem(X1) | ~is_a_theorem(equivalent(X1,X0))).
% 0.19/0.38 cnf(a0, assumption,
% 0.19/0.38 equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))) = X0).
% 0.19/0.38 cnf(c3, plain,
% 0.19/0.38 $false,
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 0.19/0.38 cnf(c4, plain,
% 0.19/0.38 ~is_a_theorem(X1) | ~is_a_theorem(equivalent(X1,X0)),
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 0.19/0.38
% 0.19/0.38 cnf(c5, axiom,
% 0.19/0.38 is_a_theorem(X2) | ~is_a_theorem(X3) | ~is_a_theorem(equivalent(X3,X2))).
% 0.19/0.38 cnf(a1, assumption,
% 0.19/0.38 X1 = X2).
% 0.19/0.38 cnf(c6, plain,
% 0.19/0.38 ~is_a_theorem(equivalent(X1,X0)),
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 0.19/0.38 cnf(c7, plain,
% 0.19/0.38 ~is_a_theorem(X3) | ~is_a_theorem(equivalent(X3,X2)),
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 0.19/0.38
% 0.19/0.38 cnf(c8, axiom,
% 0.19/0.38 is_a_theorem(X4) | ~is_a_theorem(X5) | ~is_a_theorem(equivalent(X5,X4))).
% 0.19/0.38 cnf(a2, assumption,
% 0.19/0.38 X3 = X4).
% 0.19/0.38 cnf(c9, plain,
% 0.19/0.38 ~is_a_theorem(equivalent(X3,X2)),
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])).
% 0.19/0.38 cnf(c10, plain,
% 0.19/0.38 ~is_a_theorem(X5) | ~is_a_theorem(equivalent(X5,X4)),
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])).
% 0.19/0.38
% 0.19/0.38 cnf(c11, axiom,
% 0.19/0.38 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10))).
% 0.19/0.38 cnf(a3, assumption,
% 0.19/0.38 X5 = equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10)).
% 0.19/0.38 cnf(c12, plain,
% 0.19/0.38 ~is_a_theorem(equivalent(X5,X4)),
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])).
% 0.19/0.38 cnf(c13, plain,
% 0.19/0.38 $false,
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])).
% 0.19/0.38
% 0.19/0.38 cnf(c14, axiom,
% 0.19/0.38 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),X14),equivalent(equivalent(X12,X13),X14)),X15),X15))).
% 0.19/0.38 cnf(a4, assumption,
% 0.19/0.38 equivalent(X5,X4) = equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),X14),equivalent(equivalent(X12,X13),X14)),X15),X15)).
% 0.19/0.38 cnf(c15, plain,
% 0.19/0.38 $false,
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a4])], [c12, c14])).
% 0.19/0.38 cnf(c16, plain,
% 0.19/0.38 $false,
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a4])], [c12, c14])).
% 0.19/0.38
% 0.19/0.38 cnf(c17, axiom,
% 0.19/0.38 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X16,X17),equivalent(X16,X18)),X19),equivalent(equivalent(X17,X18),X19)),X20),X20))).
% 0.19/0.38 cnf(a5, assumption,
% 0.19/0.38 equivalent(X3,X2) = equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X16,X17),equivalent(X16,X18)),X19),equivalent(equivalent(X17,X18),X19)),X20),X20)).
% 0.19/0.38 cnf(c18, plain,
% 0.19/0.38 $false,
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a5])], [c9, c17])).
% 0.19/0.38 cnf(c19, plain,
% 0.19/0.38 $false,
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a5])], [c9, c17])).
% 0.19/0.38
% 0.19/0.38 cnf(c20, axiom,
% 0.19/0.38 is_a_theorem(X21) | ~is_a_theorem(X22) | ~is_a_theorem(equivalent(X22,X21))).
% 0.19/0.38 cnf(a6, assumption,
% 0.19/0.38 equivalent(X1,X0) = X21).
% 0.19/0.38 cnf(c21, plain,
% 0.19/0.38 $false,
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a6])], [c6, c20])).
% 0.19/0.38 cnf(c22, plain,
% 0.19/0.38 ~is_a_theorem(X22) | ~is_a_theorem(equivalent(X22,X21)),
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a6])], [c6, c20])).
% 0.19/0.38
% 0.19/0.38 cnf(c23, axiom,
% 0.19/0.38 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X23,X24),equivalent(X23,X25)),X26),equivalent(equivalent(X24,X25),X26)),X27),X27))).
% 0.19/0.38 cnf(a7, assumption,
% 0.19/0.38 X22 = equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X23,X24),equivalent(X23,X25)),X26),equivalent(equivalent(X24,X25),X26)),X27),X27)).
% 0.19/0.38 cnf(c24, plain,
% 0.19/0.38 ~is_a_theorem(equivalent(X22,X21)),
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])).
% 0.19/0.38 cnf(c25, plain,
% 0.19/0.38 $false,
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])).
% 0.19/0.38
% 0.19/0.38 cnf(c26, axiom,
% 0.19/0.38 is_a_theorem(X28) | ~is_a_theorem(X29) | ~is_a_theorem(equivalent(X29,X28))).
% 0.19/0.38 cnf(a8, assumption,
% 0.19/0.38 equivalent(X22,X21) = X28).
% 0.19/0.38 cnf(c27, plain,
% 0.19/0.38 $false,
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a8])], [c24, c26])).
% 0.19/0.38 cnf(c28, plain,
% 0.19/0.38 ~is_a_theorem(X29) | ~is_a_theorem(equivalent(X29,X28)),
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a8])], [c24, c26])).
% 0.19/0.38
% 0.19/0.38 cnf(c29, axiom,
% 0.19/0.38 is_a_theorem(X30) | ~is_a_theorem(X31) | ~is_a_theorem(equivalent(X31,X30))).
% 0.19/0.38 cnf(a9, assumption,
% 0.19/0.38 X29 = X30).
% 0.19/0.38 cnf(c30, plain,
% 0.19/0.38 ~is_a_theorem(equivalent(X29,X28)),
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])).
% 0.19/0.38 cnf(c31, plain,
% 0.19/0.38 ~is_a_theorem(X31) | ~is_a_theorem(equivalent(X31,X30)),
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])).
% 0.19/0.38
% 0.19/0.38 cnf(c32, axiom,
% 0.19/0.38 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X32,X33),equivalent(X32,X34)),X35),equivalent(equivalent(X33,X34),X35)),X36),X36))).
% 0.19/0.38 cnf(a10, assumption,
% 0.19/0.38 X31 = equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X32,X33),equivalent(X32,X34)),X35),equivalent(equivalent(X33,X34),X35)),X36),X36)).
% 0.19/0.38 cnf(c33, plain,
% 0.19/0.38 ~is_a_theorem(equivalent(X31,X30)),
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a10])], [c31, c32])).
% 0.19/0.38 cnf(c34, plain,
% 0.19/0.38 $false,
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a10])], [c31, c32])).
% 0.19/0.38
% 0.19/0.38 cnf(c35, axiom,
% 0.19/0.38 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X37,X38),equivalent(X37,X39)),X40),equivalent(equivalent(X38,X39),X40)),X41),X41))).
% 0.19/0.38 cnf(a11, assumption,
% 0.19/0.38 equivalent(X31,X30) = equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X37,X38),equivalent(X37,X39)),X40),equivalent(equivalent(X38,X39),X40)),X41),X41)).
% 0.19/0.38 cnf(c36, plain,
% 0.19/0.38 $false,
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a11])], [c33, c35])).
% 0.19/0.38 cnf(c37, plain,
% 0.19/0.38 $false,
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a11])], [c33, c35])).
% 0.19/0.38
% 0.19/0.38 cnf(c38, axiom,
% 0.19/0.38 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X42,X43),equivalent(X42,X44)),X45),equivalent(equivalent(X43,X44),X45)),X46),X46))).
% 0.19/0.38 cnf(a12, assumption,
% 0.19/0.38 equivalent(X29,X28) = equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X42,X43),equivalent(X42,X44)),X45),equivalent(equivalent(X43,X44),X45)),X46),X46)).
% 0.19/0.38 cnf(c39, plain,
% 0.19/0.38 $false,
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a12])], [c30, c38])).
% 0.19/0.38 cnf(c40, plain,
% 0.19/0.38 $false,
% 0.19/0.38 inference(strict_predicate_extension, [assumptions([a12])], [c30, c38])).
% 0.19/0.38
% 0.19/0.38 cnf(c41, plain,
% 0.19/0.38 $false,
% 0.19/0.38 inference(constraint_solving, [
% 0.19/0.38 bind(X0, equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),
% 0.19/0.38 bind(X1, equivalent(equivalent(X7,X8),X9)),
% 0.19/0.38 bind(X2, equivalent(equivalent(X7,X8),X9)),
% 0.19/0.38 bind(X3, equivalent(equivalent(X12,X13),X14)),
% 0.19/0.38 bind(X4, equivalent(equivalent(X12,X13),X14)),
% 0.19/0.38 bind(X5, equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9),equivalent(equivalent(X7,X8),X9)),X10),X10)),
% 0.19/0.38 bind(X6, equivalent(equivalent(X16,X17),equivalent(X16,X18))),
% 0.19/0.38 bind(X7, equivalent(X42,X43)),
% 0.19/0.38 bind(X8, equivalent(X42,X44)),
% 0.19/0.38 bind(X9, equivalent(X11,X13)),
% 0.19/0.38 bind(X10, equivalent(equivalent(X12,X13),X14)),
% 0.19/0.38 bind(X11, equivalent(X6,X7)),
% 0.19/0.38 bind(X12, equivalent(X6,X8)),
% 0.19/0.38 bind(X13, equivalent(equivalent(X17,X18),X19)),
% 0.19/0.38 bind(X14, equivalent(equivalent(X7,X8),X9)),
% 0.19/0.38 bind(X15, equivalent(equivalent(X12,X13),X14)),
% 0.19/0.38 bind(X16, equivalent(X23,X24)),
% 0.19/0.38 bind(X17, equivalent(X23,X25)),
% 0.19/0.38 bind(X18, c),
% 0.19/0.38 bind(X19, equivalent(X42,X44)),
% 0.19/0.38 bind(X20, equivalent(equivalent(X7,X8),X9)),
% 0.19/0.38 bind(X21, equivalent(X1,X0)),
% 0.19/0.38 bind(X22, equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X23,X24),equivalent(X23,X25)),X26),equivalent(equivalent(X24,X25),X26)),X27),X27)),
% 0.19/0.38 bind(X23, a),
% 0.19/0.38 bind(X24, b),
% 0.19/0.38 bind(X25, falsehood),
% 0.19/0.38 bind(X26, equivalent(X16,X18)),
% 0.19/0.38 bind(X27, equivalent(equivalent(X17,X18),X19)),
% 0.19/0.38 bind(X28, equivalent(X22,X21)),
% 0.19/0.38 bind(X29, equivalent(equivalent(X38,X39),X40)),
% 0.19/0.38 bind(X30, equivalent(equivalent(X38,X39),X40)),
% 0.19/0.38 bind(X31, equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X32,X33),equivalent(X32,X34)),X35),equivalent(equivalent(X33,X34),X35)),X36),X36)),
% 0.19/0.38 bind(X32, equivalent(equivalent(X42,X43),equivalent(X42,X44))),
% 0.19/0.38 bind(X33, equivalent(equivalent(equivalent(equivalent(equivalent(X23,X24),equivalent(X23,X25)),X26),equivalent(equivalent(X24,X25),X26)),X27)),
% 0.19/0.38 bind(X34, equivalent(equivalent(X17,X18),X19)),
% 0.19/0.38 bind(X35, equivalent(X37,X39)),
% 0.19/0.38 bind(X36, equivalent(equivalent(X38,X39),X40)),
% 0.19/0.38 bind(X37, equivalent(X32,X33)),
% 0.19/0.38 bind(X38, equivalent(X32,X34)),
% 0.19/0.38 bind(X39, equivalent(equivalent(X43,X44),X45)),
% 0.19/0.38 bind(X40, equivalent(equivalent(X33,X34),X35)),
% 0.19/0.38 bind(X41, equivalent(equivalent(X38,X39),X40)),
% 0.19/0.38 bind(X42, equivalent(X24,X25)),
% 0.19/0.38 bind(X43, equivalent(X16,X18)),
% 0.19/0.38 bind(X44, e),
% 0.19/0.38 bind(X45, equivalent(equivalent(X17,X18),X19)),
% 0.19/0.38 bind(X46, equivalent(equivalent(X33,X34),X35))
% 0.19/0.38 ],
% 0.19/0.38 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12])).
% 0.19/0.38
% 0.19/0.38 % SZS output end IncompleteProof
%------------------------------------------------------------------------------