TSTP Solution File: LCL118-1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : LCL118-1 : 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 : n011.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 12:07:00 EDT 2022
% Result : Unsatisfiable 11.28s 1.78s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL118-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 3 05:47:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 11.28/1.78 % SZS status Unsatisfiable
% 11.28/1.78 % SZS output begin IncompleteProof
% 11.28/1.78 cnf(c0, axiom,
% 11.28/1.78 ~is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))))).
% 11.28/1.78 cnf(c1, plain,
% 11.28/1.78 ~is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))),
% 11.28/1.78 inference(start, [], [c0])).
% 11.28/1.78
% 11.28/1.78 cnf(c2, axiom,
% 11.28/1.78 is_a_theorem(X0) | ~is_a_theorem(X1) | ~is_a_theorem(equivalent(X1,X0))).
% 11.28/1.78 cnf(a0, assumption,
% 11.28/1.78 equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))) = X0).
% 11.28/1.78 cnf(c3, plain,
% 11.28/1.78 $false,
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 11.28/1.78 cnf(c4, plain,
% 11.28/1.78 ~is_a_theorem(X1) | ~is_a_theorem(equivalent(X1,X0)),
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 11.28/1.78
% 11.28/1.78 cnf(c5, axiom,
% 11.28/1.78 is_a_theorem(X2) | ~is_a_theorem(X3) | ~is_a_theorem(equivalent(X3,X2))).
% 11.28/1.78 cnf(a1, assumption,
% 11.28/1.78 X1 = X2).
% 11.28/1.78 cnf(c6, plain,
% 11.28/1.78 ~is_a_theorem(equivalent(X1,X0)),
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 11.28/1.78 cnf(c7, plain,
% 11.28/1.78 ~is_a_theorem(X3) | ~is_a_theorem(equivalent(X3,X2)),
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 11.28/1.78
% 11.28/1.78 cnf(c8, axiom,
% 11.28/1.78 is_a_theorem(equivalent(equivalent(X4,equivalent(X5,X6)),equivalent(X6,equivalent(X5,X4))))).
% 11.28/1.78 cnf(a2, assumption,
% 11.28/1.78 X3 = equivalent(equivalent(X4,equivalent(X5,X6)),equivalent(X6,equivalent(X5,X4)))).
% 11.28/1.78 cnf(c9, plain,
% 11.28/1.78 ~is_a_theorem(equivalent(X3,X2)),
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])).
% 11.28/1.78 cnf(c10, plain,
% 11.28/1.78 $false,
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])).
% 11.28/1.78
% 11.28/1.78 cnf(c11, axiom,
% 11.28/1.78 is_a_theorem(X7) | ~is_a_theorem(X8) | ~is_a_theorem(equivalent(X8,X7))).
% 11.28/1.78 cnf(a3, assumption,
% 11.28/1.78 equivalent(X3,X2) = X7).
% 11.28/1.78 cnf(c12, plain,
% 11.28/1.78 $false,
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a3])], [c9, c11])).
% 11.28/1.78 cnf(c13, plain,
% 11.28/1.78 ~is_a_theorem(X8) | ~is_a_theorem(equivalent(X8,X7)),
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a3])], [c9, c11])).
% 11.28/1.78
% 11.28/1.78 cnf(c14, axiom,
% 11.28/1.78 is_a_theorem(X9) | ~is_a_theorem(X10) | ~is_a_theorem(equivalent(X10,X9))).
% 11.28/1.78 cnf(a4, assumption,
% 11.28/1.78 X8 = X9).
% 11.28/1.78 cnf(c15, plain,
% 11.28/1.78 ~is_a_theorem(equivalent(X8,X7)),
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])).
% 11.28/1.78 cnf(c16, plain,
% 11.28/1.78 ~is_a_theorem(X10) | ~is_a_theorem(equivalent(X10,X9)),
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])).
% 11.28/1.78
% 11.28/1.78 cnf(c17, axiom,
% 11.28/1.78 is_a_theorem(X11) | ~is_a_theorem(X12) | ~is_a_theorem(equivalent(X12,X11))).
% 11.28/1.78 cnf(a5, assumption,
% 11.28/1.78 X10 = X11).
% 11.28/1.78 cnf(c18, plain,
% 11.28/1.78 ~is_a_theorem(equivalent(X10,X9)),
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])).
% 11.28/1.78 cnf(c19, plain,
% 11.28/1.78 ~is_a_theorem(X12) | ~is_a_theorem(equivalent(X12,X11)),
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])).
% 11.28/1.78
% 11.28/1.78 cnf(c20, axiom,
% 11.28/1.78 is_a_theorem(equivalent(equivalent(X13,equivalent(X14,X15)),equivalent(X15,equivalent(X14,X13))))).
% 11.28/1.78 cnf(a6, assumption,
% 11.28/1.78 X12 = equivalent(equivalent(X13,equivalent(X14,X15)),equivalent(X15,equivalent(X14,X13)))).
% 11.28/1.78 cnf(c21, plain,
% 11.28/1.78 ~is_a_theorem(equivalent(X12,X11)),
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])).
% 11.28/1.78 cnf(c22, plain,
% 11.28/1.78 $false,
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])).
% 11.28/1.78
% 11.28/1.78 cnf(c23, axiom,
% 11.28/1.78 is_a_theorem(equivalent(equivalent(X16,equivalent(X17,X18)),equivalent(X18,equivalent(X17,X16))))).
% 11.28/1.78 cnf(a7, assumption,
% 11.28/1.78 equivalent(X12,X11) = equivalent(equivalent(X16,equivalent(X17,X18)),equivalent(X18,equivalent(X17,X16)))).
% 11.28/1.78 cnf(c24, plain,
% 11.28/1.78 $false,
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a7])], [c21, c23])).
% 11.28/1.78 cnf(c25, plain,
% 11.28/1.78 $false,
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a7])], [c21, c23])).
% 11.28/1.78
% 11.28/1.78 cnf(c26, axiom,
% 11.28/1.78 is_a_theorem(X19) | ~is_a_theorem(X20) | ~is_a_theorem(equivalent(X20,X19))).
% 11.28/1.78 cnf(a8, assumption,
% 11.28/1.78 equivalent(X10,X9) = X19).
% 11.28/1.78 cnf(c27, plain,
% 11.28/1.78 $false,
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a8])], [c18, c26])).
% 11.28/1.78 cnf(c28, plain,
% 11.28/1.78 ~is_a_theorem(X20) | ~is_a_theorem(equivalent(X20,X19)),
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a8])], [c18, c26])).
% 11.28/1.78
% 11.28/1.78 cnf(c29, axiom,
% 11.28/1.78 is_a_theorem(X21) | ~is_a_theorem(X22) | ~is_a_theorem(equivalent(X22,X21))).
% 11.28/1.78 cnf(a9, assumption,
% 11.28/1.78 X20 = X21).
% 11.28/1.78 cnf(c30, plain,
% 11.28/1.78 ~is_a_theorem(equivalent(X20,X19)),
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])).
% 11.28/1.78 cnf(c31, plain,
% 11.28/1.78 ~is_a_theorem(X22) | ~is_a_theorem(equivalent(X22,X21)),
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])).
% 11.28/1.78
% 11.28/1.78 cnf(c32, axiom,
% 11.28/1.78 is_a_theorem(equivalent(equivalent(X23,equivalent(X24,X25)),equivalent(X25,equivalent(X24,X23))))).
% 11.28/1.78 cnf(a10, assumption,
% 11.28/1.78 X22 = equivalent(equivalent(X23,equivalent(X24,X25)),equivalent(X25,equivalent(X24,X23)))).
% 11.28/1.78 cnf(c33, plain,
% 11.28/1.78 ~is_a_theorem(equivalent(X22,X21)),
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a10])], [c31, c32])).
% 11.28/1.78 cnf(c34, plain,
% 11.28/1.78 $false,
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a10])], [c31, c32])).
% 11.28/1.78
% 11.28/1.78 cnf(c35, axiom,
% 11.28/1.78 is_a_theorem(X26) | ~is_a_theorem(X27) | ~is_a_theorem(equivalent(X27,X26))).
% 11.28/1.78 cnf(a11, assumption,
% 11.28/1.78 equivalent(X22,X21) = X26).
% 11.28/1.78 cnf(c36, plain,
% 11.28/1.78 $false,
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a11])], [c33, c35])).
% 11.28/1.78 cnf(c37, plain,
% 11.28/1.78 ~is_a_theorem(X27) | ~is_a_theorem(equivalent(X27,X26)),
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a11])], [c33, c35])).
% 11.28/1.78
% 11.28/1.78 cnf(c38, axiom,
% 11.28/1.78 is_a_theorem(equivalent(equivalent(X28,equivalent(X29,X30)),equivalent(X30,equivalent(X29,X28))))).
% 11.28/1.78 cnf(a12, assumption,
% 11.28/1.78 X27 = equivalent(equivalent(X28,equivalent(X29,X30)),equivalent(X30,equivalent(X29,X28)))).
% 11.28/1.78 cnf(c39, plain,
% 11.28/1.78 ~is_a_theorem(equivalent(X27,X26)),
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a12])], [c37, c38])).
% 11.28/1.78 cnf(c40, plain,
% 11.28/1.78 $false,
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a12])], [c37, c38])).
% 11.28/1.78
% 11.28/1.78 cnf(c41, axiom,
% 11.28/1.78 is_a_theorem(equivalent(equivalent(X31,equivalent(X32,X33)),equivalent(X33,equivalent(X32,X31))))).
% 11.28/1.78 cnf(a13, assumption,
% 11.28/1.78 equivalent(X27,X26) = equivalent(equivalent(X31,equivalent(X32,X33)),equivalent(X33,equivalent(X32,X31)))).
% 11.28/1.78 cnf(c42, plain,
% 11.28/1.78 $false,
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a13])], [c39, c41])).
% 11.28/1.78 cnf(c43, plain,
% 11.28/1.78 $false,
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a13])], [c39, c41])).
% 11.28/1.78
% 11.28/1.78 cnf(c44, axiom,
% 11.28/1.78 is_a_theorem(equivalent(equivalent(X34,equivalent(X35,X36)),equivalent(X36,equivalent(X35,X34))))).
% 11.28/1.78 cnf(a14, assumption,
% 11.28/1.78 equivalent(X20,X19) = equivalent(equivalent(X34,equivalent(X35,X36)),equivalent(X36,equivalent(X35,X34)))).
% 11.28/1.78 cnf(c45, plain,
% 11.28/1.78 $false,
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a14])], [c30, c44])).
% 11.28/1.78 cnf(c46, plain,
% 11.28/1.78 $false,
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a14])], [c30, c44])).
% 11.28/1.78
% 11.28/1.78 cnf(c47, axiom,
% 11.28/1.78 is_a_theorem(equivalent(equivalent(X37,equivalent(X38,X39)),equivalent(X39,equivalent(X38,X37))))).
% 11.28/1.78 cnf(a15, assumption,
% 11.28/1.78 equivalent(X8,X7) = equivalent(equivalent(X37,equivalent(X38,X39)),equivalent(X39,equivalent(X38,X37)))).
% 11.28/1.78 cnf(c48, plain,
% 11.28/1.78 $false,
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a15])], [c15, c47])).
% 11.28/1.78 cnf(c49, plain,
% 11.28/1.78 $false,
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a15])], [c15, c47])).
% 11.28/1.78
% 11.28/1.78 cnf(c50, axiom,
% 11.28/1.78 is_a_theorem(equivalent(equivalent(X40,equivalent(X41,X42)),equivalent(X42,equivalent(X41,X40))))).
% 11.28/1.78 cnf(a16, assumption,
% 11.28/1.78 equivalent(X1,X0) = equivalent(equivalent(X40,equivalent(X41,X42)),equivalent(X42,equivalent(X41,X40)))).
% 11.28/1.78 cnf(c51, plain,
% 11.28/1.78 $false,
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a16])], [c6, c50])).
% 11.28/1.78 cnf(c52, plain,
% 11.28/1.78 $false,
% 11.28/1.78 inference(strict_predicate_extension, [assumptions([a16])], [c6, c50])).
% 11.28/1.78
% 11.28/1.78 cnf(c53, plain,
% 11.28/1.78 $false,
% 11.28/1.78 inference(constraint_solving, [
% 11.28/1.78 bind(X0, equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))),
% 11.28/1.78 bind(X1, equivalent(X38,X37)),
% 11.28/1.78 bind(X2, equivalent(X38,X37)),
% 11.28/1.78 bind(X3, equivalent(equivalent(X4,equivalent(X5,X6)),equivalent(X6,equivalent(X5,X4)))),
% 11.28/1.78 bind(X4, a),
% 11.28/1.78 bind(X5, c),
% 11.28/1.78 bind(X6, b),
% 11.28/1.78 bind(X7, equivalent(X3,X2)),
% 11.28/1.78 bind(X8, equivalent(X35,X34)),
% 11.28/1.78 bind(X9, equivalent(X35,X34)),
% 11.28/1.78 bind(X10, equivalent(X18,equivalent(X17,X16))),
% 11.28/1.78 bind(X11, equivalent(X18,equivalent(X17,X16))),
% 11.28/1.78 bind(X12, equivalent(equivalent(X13,equivalent(X14,X15)),equivalent(X15,equivalent(X14,X13)))),
% 11.28/1.78 bind(X13, equivalent(X24,X25)),
% 11.28/1.78 bind(X14, b),
% 11.28/1.78 bind(X15, equivalent(X5,X4)),
% 11.28/1.78 bind(X16, equivalent(X13,equivalent(X14,X15))),
% 11.28/1.78 bind(X17, equivalent(X5,X4)),
% 11.28/1.78 bind(X18, equivalent(X14,X13)),
% 11.28/1.78 bind(X19, equivalent(X10,X9)),
% 11.28/1.78 bind(X20, equivalent(X32,X31)),
% 11.28/1.78 bind(X21, equivalent(X32,X31)),
% 11.28/1.78 bind(X22, equivalent(equivalent(X23,equivalent(X24,X25)),equivalent(X25,equivalent(X24,X23)))),
% 11.28/1.78 bind(X23, b),
% 11.28/1.78 bind(X24, a),
% 11.28/1.78 bind(X25, equivalent(X5,X6)),
% 11.28/1.78 bind(X26, equivalent(X22,X21)),
% 11.28/1.78 bind(X27, equivalent(equivalent(X28,equivalent(X29,X30)),equivalent(X30,equivalent(X29,X28)))),
% 11.28/1.78 bind(X28, equivalent(X25,equivalent(X24,X23))),
% 11.28/1.78 bind(X29, equivalent(X23,equivalent(X24,X25))),
% 11.28/1.78 bind(X30, equivalent(X17,X16)),
% 11.28/1.78 bind(X31, equivalent(X28,equivalent(X29,X30))),
% 11.28/1.78 bind(X32, equivalent(X17,X16)),
% 11.28/1.78 bind(X33, equivalent(X29,X28)),
% 11.28/1.78 bind(X34, equivalent(X17,X16)),
% 11.28/1.78 bind(X35, equivalent(X25,equivalent(X24,X23))),
% 11.28/1.78 bind(X36, equivalent(X29,X30)),
% 11.28/1.78 bind(X37, equivalent(X25,equivalent(X24,X23))),
% 11.28/1.78 bind(X38, equivalent(X5,X4)),
% 11.28/1.78 bind(X39, equivalent(X13,equivalent(X14,X15))),
% 11.28/1.78 bind(X40, equivalent(X5,X4)),
% 11.28/1.78 bind(X41, equivalent(X5,X6)),
% 11.28/1.78 bind(X42, equivalent(X24,X23))
% 11.28/1.78 ],
% 11.28/1.78 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16])).
% 11.28/1.78
% 11.28/1.78 % SZS output end IncompleteProof
%------------------------------------------------------------------------------