TSTP Solution File: LCL096-1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : LCL096-1 : 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 12:06:50 EDT 2022
% Result : Unsatisfiable 0.19s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL096-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33 % Computer : n025.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 : Sun Jul 3 04:34:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.36 % SZS status Unsatisfiable
% 0.19/0.36 % SZS output begin IncompleteProof
% 0.19/0.36 cnf(c0, axiom,
% 0.19/0.36 ~is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c))).
% 0.19/0.36 cnf(c1, plain,
% 0.19/0.36 ~is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)),
% 0.19/0.36 inference(start, [], [c0])).
% 0.19/0.36
% 0.19/0.36 cnf(c2, axiom,
% 0.19/0.36 is_a_theorem(X0) | ~is_a_theorem(X1) | ~is_a_theorem(equivalent(X1,X0))).
% 0.19/0.36 cnf(a0, assumption,
% 0.19/0.36 equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c) = X0).
% 0.19/0.36 cnf(c3, plain,
% 0.19/0.36 $false,
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 0.19/0.36 cnf(c4, plain,
% 0.19/0.36 ~is_a_theorem(X1) | ~is_a_theorem(equivalent(X1,X0)),
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 0.19/0.36
% 0.19/0.36 cnf(c5, axiom,
% 0.19/0.36 is_a_theorem(X2) | ~is_a_theorem(X3) | ~is_a_theorem(equivalent(X3,X2))).
% 0.19/0.36 cnf(a1, assumption,
% 0.19/0.36 X1 = X2).
% 0.19/0.36 cnf(c6, plain,
% 0.19/0.36 ~is_a_theorem(equivalent(X1,X0)),
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 0.19/0.36 cnf(c7, plain,
% 0.19/0.36 ~is_a_theorem(X3) | ~is_a_theorem(equivalent(X3,X2)),
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 0.19/0.36
% 0.19/0.36 cnf(c8, axiom,
% 0.19/0.36 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8))).
% 0.19/0.36 cnf(a2, assumption,
% 0.19/0.36 X3 = equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)).
% 0.19/0.36 cnf(c9, plain,
% 0.19/0.36 ~is_a_theorem(equivalent(X3,X2)),
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])).
% 0.19/0.36 cnf(c10, plain,
% 0.19/0.36 $false,
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])).
% 0.19/0.36
% 0.19/0.36 cnf(c11, axiom,
% 0.19/0.36 is_a_theorem(X9) | ~is_a_theorem(X10) | ~is_a_theorem(equivalent(X10,X9))).
% 0.19/0.36 cnf(a3, assumption,
% 0.19/0.36 equivalent(X3,X2) = X9).
% 0.19/0.36 cnf(c12, plain,
% 0.19/0.36 $false,
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a3])], [c9, c11])).
% 0.19/0.36 cnf(c13, plain,
% 0.19/0.36 ~is_a_theorem(X10) | ~is_a_theorem(equivalent(X10,X9)),
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a3])], [c9, c11])).
% 0.19/0.36
% 0.19/0.36 cnf(c14, axiom,
% 0.19/0.36 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),X14),equivalent(equivalent(X12,X13),X14)),X15),X15))).
% 0.19/0.36 cnf(a4, assumption,
% 0.19/0.36 X10 = equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),X14),equivalent(equivalent(X12,X13),X14)),X15),X15)).
% 0.19/0.36 cnf(c15, plain,
% 0.19/0.36 ~is_a_theorem(equivalent(X10,X9)),
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])).
% 0.19/0.36 cnf(c16, plain,
% 0.19/0.36 $false,
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])).
% 0.19/0.36
% 0.19/0.36 cnf(c17, axiom,
% 0.19/0.36 is_a_theorem(equivalent(equivalent(equivalent(equivalent(X16,X17),X18),X19),equivalent(equivalent(equivalent(X16,X20),X18),equivalent(equivalent(X17,X20),X19))))).
% 0.19/0.36 cnf(a5, assumption,
% 0.19/0.36 equivalent(X10,X9) = equivalent(equivalent(equivalent(equivalent(X16,X17),X18),X19),equivalent(equivalent(equivalent(X16,X20),X18),equivalent(equivalent(X17,X20),X19)))).
% 0.19/0.36 cnf(c18, plain,
% 0.19/0.36 $false,
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a5])], [c15, c17])).
% 0.19/0.36 cnf(c19, plain,
% 0.19/0.36 $false,
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a5])], [c15, c17])).
% 0.19/0.36
% 0.19/0.36 cnf(c20, axiom,
% 0.19/0.36 is_a_theorem(X21) | ~is_a_theorem(X22) | ~is_a_theorem(equivalent(X22,X21))).
% 0.19/0.36 cnf(a6, assumption,
% 0.19/0.36 equivalent(X1,X0) = X21).
% 0.19/0.36 cnf(c21, plain,
% 0.19/0.36 $false,
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a6])], [c6, c20])).
% 0.19/0.36 cnf(c22, plain,
% 0.19/0.36 ~is_a_theorem(X22) | ~is_a_theorem(equivalent(X22,X21)),
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a6])], [c6, c20])).
% 0.19/0.36
% 0.19/0.36 cnf(c23, axiom,
% 0.19/0.36 is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X23,X24),equivalent(X23,X25)),equivalent(X24,X25)),X26),X26))).
% 0.19/0.36 cnf(a7, assumption,
% 0.19/0.36 X22 = equivalent(equivalent(equivalent(equivalent(equivalent(X23,X24),equivalent(X23,X25)),equivalent(X24,X25)),X26),X26)).
% 0.19/0.36 cnf(c24, plain,
% 0.19/0.36 ~is_a_theorem(equivalent(X22,X21)),
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])).
% 0.19/0.36 cnf(c25, plain,
% 0.19/0.36 $false,
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])).
% 0.19/0.36
% 0.19/0.36 cnf(c26, axiom,
% 0.19/0.36 is_a_theorem(equivalent(equivalent(equivalent(equivalent(X27,X28),X29),X30),equivalent(equivalent(equivalent(X27,X31),X29),equivalent(equivalent(X28,X31),X30))))).
% 0.19/0.36 cnf(a8, assumption,
% 0.19/0.36 equivalent(X22,X21) = equivalent(equivalent(equivalent(equivalent(X27,X28),X29),X30),equivalent(equivalent(equivalent(X27,X31),X29),equivalent(equivalent(X28,X31),X30)))).
% 0.19/0.36 cnf(c27, plain,
% 0.19/0.36 $false,
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a8])], [c24, c26])).
% 0.19/0.36 cnf(c28, plain,
% 0.19/0.36 $false,
% 0.19/0.36 inference(strict_predicate_extension, [assumptions([a8])], [c24, c26])).
% 0.19/0.36
% 0.19/0.36 cnf(c29, plain,
% 0.19/0.36 $false,
% 0.19/0.36 inference(constraint_solving, [
% 0.19/0.36 bind(X0, equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)),
% 0.19/0.36 bind(X1, equivalent(equivalent(X17,X20),X19)),
% 0.19/0.36 bind(X2, equivalent(equivalent(X17,X20),X19)),
% 0.19/0.36 bind(X3, equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),X8),X8)),
% 0.19/0.36 bind(X4, b),
% 0.19/0.36 bind(X5, b),
% 0.19/0.36 bind(X6, X6),
% 0.19/0.36 bind(X7, equivalent(X11,X13)),
% 0.19/0.36 bind(X8, c),
% 0.19/0.36 bind(X9, equivalent(X3,X2)),
% 0.19/0.36 bind(X10, equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),X14),equivalent(equivalent(X12,X13),X14)),X15),X15)),
% 0.19/0.36 bind(X11, equivalent(X4,X5)),
% 0.19/0.36 bind(X12, equivalent(X4,X6)),
% 0.19/0.36 bind(X13, a),
% 0.19/0.36 bind(X14, equivalent(equivalent(X5,X6),X7)),
% 0.19/0.36 bind(X15, c),
% 0.19/0.36 bind(X16, equivalent(equivalent(equivalent(X11,X12),equivalent(X11,X13)),X14)),
% 0.19/0.36 bind(X17, equivalent(equivalent(X12,X13),X14)),
% 0.19/0.36 bind(X18, c),
% 0.19/0.36 bind(X19, c),
% 0.19/0.36 bind(X20, c),
% 0.19/0.36 bind(X21, equivalent(X1,X0)),
% 0.19/0.36 bind(X22, equivalent(equivalent(equivalent(equivalent(equivalent(X23,X24),equivalent(X23,X25)),equivalent(X24,X25)),X26),X26)),
% 0.19/0.36 bind(X23, equivalent(X4,X6)),
% 0.19/0.36 bind(X24, a),
% 0.19/0.36 bind(X25, equivalent(X11,X13)),
% 0.19/0.36 bind(X26, c),
% 0.19/0.36 bind(X27, equivalent(equivalent(X23,X24),equivalent(X23,X25))),
% 0.19/0.36 bind(X28, equivalent(X24,X25)),
% 0.19/0.36 bind(X29, c),
% 0.19/0.36 bind(X30, c),
% 0.19/0.36 bind(X31, c)
% 0.19/0.36 ],
% 0.19/0.36 [a0, a1, a2, a3, a4, a5, a6, a7, a8])).
% 0.19/0.36
% 0.19/0.36 % SZS output end IncompleteProof
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