TSTP Solution File: LCL006-1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : LCL006-1 : 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 : n025.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 12:06:20 EDT 2022
% Result : Unsatisfiable 32.92s 4.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL006-1 : 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
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 3 22:20:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 32.92/4.49 % SZS status Unsatisfiable
% 32.92/4.49 % SZS output begin IncompleteProof
% 32.92/4.49 cnf(c0, axiom,
% 32.92/4.49 ~is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c)))).
% 32.92/4.49 cnf(c1, plain,
% 32.92/4.49 ~is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))),
% 32.92/4.49 inference(start, [], [c0])).
% 32.92/4.49
% 32.92/4.49 cnf(c2, axiom,
% 32.92/4.49 is_a_theorem(X0) | ~is_a_theorem(X1) | ~is_a_theorem(equivalent(X1,X0))).
% 32.92/4.49 cnf(a0, assumption,
% 32.92/4.49 equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c)) = X0).
% 32.92/4.49 cnf(c3, plain,
% 32.92/4.49 $false,
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 32.92/4.49 cnf(c4, plain,
% 32.92/4.49 ~is_a_theorem(X1) | ~is_a_theorem(equivalent(X1,X0)),
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 32.92/4.49
% 32.92/4.49 cnf(c5, axiom,
% 32.92/4.49 is_a_theorem(X2) | ~is_a_theorem(X3) | ~is_a_theorem(equivalent(X3,X2))).
% 32.92/4.49 cnf(a1, assumption,
% 32.92/4.49 X1 = X2).
% 32.92/4.49 cnf(c6, plain,
% 32.92/4.49 ~is_a_theorem(equivalent(X1,X0)),
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 32.92/4.49 cnf(c7, plain,
% 32.92/4.49 ~is_a_theorem(X3) | ~is_a_theorem(equivalent(X3,X2)),
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 32.92/4.49
% 32.92/4.49 cnf(c8, axiom,
% 32.92/4.49 is_a_theorem(equivalent(equivalent(equivalent(X4,X5),X6),equivalent(X4,equivalent(X5,X6))))).
% 32.92/4.49 cnf(a2, assumption,
% 32.92/4.49 X3 = equivalent(equivalent(equivalent(X4,X5),X6),equivalent(X4,equivalent(X5,X6)))).
% 32.92/4.49 cnf(c9, plain,
% 32.92/4.49 ~is_a_theorem(equivalent(X3,X2)),
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])).
% 32.92/4.49 cnf(c10, plain,
% 32.92/4.49 $false,
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])).
% 32.92/4.49
% 32.92/4.49 cnf(c11, axiom,
% 32.92/4.49 is_a_theorem(equivalent(equivalent(equivalent(X7,X8),X9),equivalent(X7,equivalent(X8,X9))))).
% 32.92/4.49 cnf(a3, assumption,
% 32.92/4.49 equivalent(X3,X2) = equivalent(equivalent(equivalent(X7,X8),X9),equivalent(X7,equivalent(X8,X9)))).
% 32.92/4.49 cnf(c12, plain,
% 32.92/4.49 $false,
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a3])], [c9, c11])).
% 32.92/4.49 cnf(c13, plain,
% 32.92/4.49 $false,
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a3])], [c9, c11])).
% 32.92/4.49
% 32.92/4.49 cnf(c14, axiom,
% 32.92/4.49 is_a_theorem(X10) | ~is_a_theorem(X11) | ~is_a_theorem(equivalent(X11,X10))).
% 32.92/4.49 cnf(a4, assumption,
% 32.92/4.49 equivalent(X1,X0) = X10).
% 32.92/4.49 cnf(c15, plain,
% 32.92/4.49 $false,
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a4])], [c6, c14])).
% 32.92/4.49 cnf(c16, plain,
% 32.92/4.49 ~is_a_theorem(X11) | ~is_a_theorem(equivalent(X11,X10)),
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a4])], [c6, c14])).
% 32.92/4.49
% 32.92/4.49 cnf(c17, axiom,
% 32.92/4.49 is_a_theorem(X12) | ~is_a_theorem(X13) | ~is_a_theorem(equivalent(X13,X12))).
% 32.92/4.49 cnf(a5, assumption,
% 32.92/4.49 X11 = X12).
% 32.92/4.49 cnf(c18, plain,
% 32.92/4.49 ~is_a_theorem(equivalent(X11,X10)),
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])).
% 32.92/4.49 cnf(c19, plain,
% 32.92/4.49 ~is_a_theorem(X13) | ~is_a_theorem(equivalent(X13,X12)),
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])).
% 32.92/4.49
% 32.92/4.49 cnf(c20, axiom,
% 32.92/4.49 is_a_theorem(X14) | ~is_a_theorem(X15) | ~is_a_theorem(equivalent(X15,X14))).
% 32.92/4.49 cnf(a6, assumption,
% 32.92/4.49 X13 = X14).
% 32.92/4.49 cnf(c21, plain,
% 32.92/4.49 ~is_a_theorem(equivalent(X13,X12)),
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])).
% 32.92/4.49 cnf(c22, plain,
% 32.92/4.49 ~is_a_theorem(X15) | ~is_a_theorem(equivalent(X15,X14)),
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])).
% 32.92/4.49
% 32.92/4.49 cnf(c23, axiom,
% 32.92/4.49 is_a_theorem(equivalent(equivalent(equivalent(X16,X17),X18),equivalent(X16,equivalent(X17,X18))))).
% 32.92/4.49 cnf(a7, assumption,
% 32.92/4.49 X15 = equivalent(equivalent(equivalent(X16,X17),X18),equivalent(X16,equivalent(X17,X18)))).
% 32.92/4.49 cnf(c24, plain,
% 32.92/4.49 ~is_a_theorem(equivalent(X15,X14)),
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])).
% 32.92/4.49 cnf(c25, plain,
% 32.92/4.49 $false,
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])).
% 32.92/4.49
% 32.92/4.49 cnf(c26, axiom,
% 32.92/4.49 is_a_theorem(equivalent(equivalent(X19,X20),equivalent(X20,X19)))).
% 32.92/4.49 cnf(a8, assumption,
% 32.92/4.49 equivalent(X15,X14) = equivalent(equivalent(X19,X20),equivalent(X20,X19))).
% 32.92/4.49 cnf(c27, plain,
% 32.92/4.49 $false,
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a8])], [c24, c26])).
% 32.92/4.49 cnf(c28, plain,
% 32.92/4.49 $false,
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a8])], [c24, c26])).
% 32.92/4.49
% 32.92/4.49 cnf(c29, axiom,
% 32.92/4.49 is_a_theorem(X21) | ~is_a_theorem(X22) | ~is_a_theorem(equivalent(X22,X21))).
% 32.92/4.49 cnf(a9, assumption,
% 32.92/4.49 equivalent(X13,X12) = X21).
% 32.92/4.49 cnf(c30, plain,
% 32.92/4.49 $false,
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a9])], [c21, c29])).
% 32.92/4.49 cnf(c31, plain,
% 32.92/4.49 ~is_a_theorem(X22) | ~is_a_theorem(equivalent(X22,X21)),
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a9])], [c21, c29])).
% 32.92/4.49
% 32.92/4.49 cnf(c32, axiom,
% 32.92/4.49 is_a_theorem(equivalent(equivalent(equivalent(X23,X24),X25),equivalent(X23,equivalent(X24,X25))))).
% 32.92/4.49 cnf(a10, assumption,
% 32.92/4.49 X22 = equivalent(equivalent(equivalent(X23,X24),X25),equivalent(X23,equivalent(X24,X25)))).
% 32.92/4.49 cnf(c33, plain,
% 32.92/4.49 ~is_a_theorem(equivalent(X22,X21)),
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a10])], [c31, c32])).
% 32.92/4.49 cnf(c34, plain,
% 32.92/4.49 $false,
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a10])], [c31, c32])).
% 32.92/4.49
% 32.92/4.49 cnf(c35, axiom,
% 32.92/4.49 is_a_theorem(equivalent(equivalent(equivalent(X26,X27),X28),equivalent(X26,equivalent(X27,X28))))).
% 32.92/4.49 cnf(a11, assumption,
% 32.92/4.49 equivalent(X22,X21) = equivalent(equivalent(equivalent(X26,X27),X28),equivalent(X26,equivalent(X27,X28)))).
% 32.92/4.49 cnf(c36, plain,
% 32.92/4.49 $false,
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a11])], [c33, c35])).
% 32.92/4.49 cnf(c37, plain,
% 32.92/4.49 $false,
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a11])], [c33, c35])).
% 32.92/4.49
% 32.92/4.49 cnf(c38, axiom,
% 32.92/4.49 is_a_theorem(X29) | ~is_a_theorem(X30) | ~is_a_theorem(equivalent(X30,X29))).
% 32.92/4.49 cnf(a12, assumption,
% 32.92/4.49 equivalent(X11,X10) = X29).
% 32.92/4.49 cnf(c39, plain,
% 32.92/4.49 $false,
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a12])], [c18, c38])).
% 32.92/4.49 cnf(c40, plain,
% 32.92/4.49 ~is_a_theorem(X30) | ~is_a_theorem(equivalent(X30,X29)),
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a12])], [c18, c38])).
% 32.92/4.49
% 32.92/4.49 cnf(c41, axiom,
% 32.92/4.49 is_a_theorem(equivalent(equivalent(equivalent(X31,X32),X33),equivalent(X31,equivalent(X32,X33))))).
% 32.92/4.49 cnf(a13, assumption,
% 32.92/4.49 X30 = equivalent(equivalent(equivalent(X31,X32),X33),equivalent(X31,equivalent(X32,X33)))).
% 32.92/4.49 cnf(c42, plain,
% 32.92/4.49 ~is_a_theorem(equivalent(X30,X29)),
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a13])], [c40, c41])).
% 32.92/4.49 cnf(c43, plain,
% 32.92/4.49 $false,
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a13])], [c40, c41])).
% 32.92/4.49
% 32.92/4.49 cnf(c44, axiom,
% 32.92/4.49 is_a_theorem(equivalent(equivalent(X34,X35),equivalent(X35,X34)))).
% 32.92/4.49 cnf(a14, assumption,
% 32.92/4.49 equivalent(X30,X29) = equivalent(equivalent(X34,X35),equivalent(X35,X34))).
% 32.92/4.49 cnf(c45, plain,
% 32.92/4.49 $false,
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a14])], [c42, c44])).
% 32.92/4.49 cnf(c46, plain,
% 32.92/4.49 $false,
% 32.92/4.49 inference(strict_predicate_extension, [assumptions([a14])], [c42, c44])).
% 32.92/4.49
% 32.92/4.49 cnf(c47, plain,
% 32.92/4.49 $false,
% 32.92/4.49 inference(constraint_solving, [
% 32.92/4.49 bind(X0, equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))),
% 32.92/4.49 bind(X1, equivalent(X7,equivalent(X8,X9))),
% 32.92/4.49 bind(X2, equivalent(X7,equivalent(X8,X9))),
% 32.92/4.49 bind(X3, equivalent(equivalent(equivalent(X4,X5),X6),equivalent(X4,equivalent(X5,X6)))),
% 32.92/4.49 bind(X4, b),
% 32.92/4.49 bind(X5, c),
% 32.92/4.49 bind(X6, a),
% 32.92/4.49 bind(X7, equivalent(X4,X5)),
% 32.92/4.49 bind(X8, a),
% 32.92/4.49 bind(X9, equivalent(X4,equivalent(X5,X6))),
% 32.92/4.49 bind(X10, equivalent(X1,X0)),
% 32.92/4.49 bind(X11, equivalent(X27,X28)),
% 32.92/4.49 bind(X12, equivalent(X27,X28)),
% 32.92/4.49 bind(X13, equivalent(X20,X19)),
% 32.92/4.49 bind(X14, equivalent(X20,X19)),
% 32.92/4.49 bind(X15, equivalent(equivalent(equivalent(X16,X17),X18),equivalent(X16,equivalent(X17,X18)))),
% 32.92/4.49 bind(X16, a),
% 32.92/4.49 bind(X17, b),
% 32.92/4.49 bind(X18, equivalent(X5,X6)),
% 32.92/4.49 bind(X19, equivalent(equivalent(X16,X17),X18)),
% 32.92/4.49 bind(X20, equivalent(X16,equivalent(X17,X18))),
% 32.92/4.49 bind(X21, equivalent(X13,X12)),
% 32.92/4.49 bind(X22, equivalent(equivalent(equivalent(X23,X24),X25),equivalent(X23,equivalent(X24,X25)))),
% 32.92/4.49 bind(X23, equivalent(X16,equivalent(X17,X18))),
% 32.92/4.49 bind(X24, equivalent(equivalent(X16,X17),X18)),
% 32.92/4.49 bind(X25, equivalent(X4,X5)),
% 32.92/4.49 bind(X26, equivalent(X23,X24)),
% 32.92/4.49 bind(X27, equivalent(X4,X5)),
% 32.92/4.49 bind(X28, equivalent(X23,equivalent(X24,X25))),
% 32.92/4.49 bind(X29, equivalent(X11,X10)),
% 32.92/4.49 bind(X30, equivalent(equivalent(equivalent(X31,X32),X33),equivalent(X31,equivalent(X32,X33)))),
% 32.92/4.49 bind(X31, equivalent(X4,X5)),
% 32.92/4.49 bind(X32, equivalent(X16,equivalent(X17,X18))),
% 32.92/4.49 bind(X33, equivalent(X24,X25)),
% 32.92/4.49 bind(X34, equivalent(equivalent(X31,X32),X33)),
% 32.92/4.49 bind(X35, equivalent(X31,equivalent(X32,X33)))
% 32.92/4.49 ],
% 32.92/4.49 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14])).
% 32.92/4.49
% 32.92/4.49 % SZS output end IncompleteProof
%------------------------------------------------------------------------------