TSTP Solution File: SYO614-1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SYO614-1 : TPTP v8.1.0. Released v7.1.0.
% 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 : Thu Jul 21 17:24:37 EDT 2022
% Result : Unsatisfiable 259.49s 33.17s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO614-1 : TPTP v8.1.0. Released v7.1.0.
% 0.07/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jul 9 11:52:45 EDT 2022
% 0.13/0.33 % CPUTime :
% 259.49/33.17 % SZS status Unsatisfiable
% 259.49/33.17 % SZS output begin IncompleteProof
% 259.49/33.17 cnf(c0, axiom,
% 259.49/33.17 ~le(s(X0),X1) | ~eq(f(X1),a1) | ~eq(f(X0),a1)).
% 259.49/33.17 cnf(c1, plain,
% 259.49/33.17 ~le(s(X0),X1) | ~eq(f(X1),a1) | ~eq(f(X0),a1),
% 259.49/33.17 inference(start, [], [c0])).
% 259.49/33.17
% 259.49/33.17 cnf(c2, axiom,
% 259.49/33.17 le(X2,X2)).
% 259.49/33.17 cnf(a0, assumption,
% 259.49/33.17 s(X0) = X2).
% 259.49/33.17 cnf(a1, assumption,
% 259.49/33.17 X1 = X2).
% 259.49/33.17 cnf(c3, plain,
% 259.49/33.17 ~eq(f(X1),a1) | ~eq(f(X0),a1),
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 259.49/33.17 cnf(c4, plain,
% 259.49/33.17 $false,
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 259.49/33.17
% 259.49/33.17 cnf(c5, axiom,
% 259.49/33.17 eq(f(X3),a1) | eq(f(X3),a0)).
% 259.49/33.17 cnf(a2, assumption,
% 259.49/33.17 f(X1) = f(X3)).
% 259.49/33.17 cnf(a3, assumption,
% 259.49/33.17 a1 = a1).
% 259.49/33.17 cnf(c6, plain,
% 259.49/33.17 ~eq(f(X0),a1),
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a2, a3])], [c3, c5])).
% 259.49/33.17 cnf(c7, plain,
% 259.49/33.17 eq(f(X3),a0),
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a2, a3])], [c3, c5])).
% 259.49/33.17
% 259.49/33.17 cnf(c8, axiom,
% 259.49/33.17 ~le(s(X4),X5) | ~eq(f(X5),a0) | ~eq(f(X4),a0)).
% 259.49/33.17 cnf(a4, assumption,
% 259.49/33.17 f(X3) = f(X4)).
% 259.49/33.17 cnf(a5, assumption,
% 259.49/33.17 a0 = a0).
% 259.49/33.17 cnf(c9, plain,
% 259.49/33.17 $false,
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 259.49/33.17 cnf(c10, plain,
% 259.49/33.17 ~le(s(X4),X5) | ~eq(f(X5),a0),
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 259.49/33.17
% 259.49/33.17 cnf(c11, axiom,
% 259.49/33.17 le(X6,X7) | ~le(max(X8,X6),X7)).
% 259.49/33.17 cnf(a6, assumption,
% 259.49/33.17 s(X4) = X6).
% 259.49/33.17 cnf(a7, assumption,
% 259.49/33.17 X5 = X7).
% 259.49/33.17 cnf(c12, plain,
% 259.49/33.17 ~eq(f(X5),a0),
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 259.49/33.17 cnf(c13, plain,
% 259.49/33.17 ~le(max(X8,X6),X7),
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 259.49/33.17
% 259.49/33.17 cnf(c14, axiom,
% 259.49/33.17 le(X9,X9)).
% 259.49/33.17 cnf(a8, assumption,
% 259.49/33.17 max(X8,X6) = X9).
% 259.49/33.17 cnf(a9, assumption,
% 259.49/33.17 X7 = X9).
% 259.49/33.17 cnf(c15, plain,
% 259.49/33.17 $false,
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])).
% 259.49/33.17 cnf(c16, plain,
% 259.49/33.17 $false,
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])).
% 259.49/33.17
% 259.49/33.17 cnf(c17, axiom,
% 259.49/33.17 eq(f(X10),a1) | eq(f(X10),a0)).
% 259.49/33.17 cnf(a10, assumption,
% 259.49/33.17 f(X5) = f(X10)).
% 259.49/33.17 cnf(a11, assumption,
% 259.49/33.17 a0 = a0).
% 259.49/33.17 cnf(c18, plain,
% 259.49/33.17 $false,
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a10, a11])], [c12, c17])).
% 259.49/33.17 cnf(c19, plain,
% 259.49/33.17 eq(f(X10),a1),
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a10, a11])], [c12, c17])).
% 259.49/33.17
% 259.49/33.17 cnf(c20, axiom,
% 259.49/33.17 ~le(s(X11),X12) | ~eq(f(X12),a1) | ~eq(f(X11),a1)).
% 259.49/33.17 cnf(a12, assumption,
% 259.49/33.17 f(X10) = f(X12)).
% 259.49/33.17 cnf(a13, assumption,
% 259.49/33.17 a1 = a1).
% 259.49/33.17 cnf(c21, plain,
% 259.49/33.17 $false,
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a12, a13])], [c19, c20])).
% 259.49/33.17 cnf(c22, plain,
% 259.49/33.17 ~le(s(X11),X12) | ~eq(f(X11),a1),
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a12, a13])], [c19, c20])).
% 259.49/33.17
% 259.49/33.17 cnf(c23, axiom,
% 259.49/33.17 le(X13,X14) | ~le(max(X13,X15),X14)).
% 259.49/33.17 cnf(a14, assumption,
% 259.49/33.17 s(X11) = X13).
% 259.49/33.17 cnf(a15, assumption,
% 259.49/33.17 X12 = X14).
% 259.49/33.17 cnf(c24, plain,
% 259.49/33.17 ~eq(f(X11),a1),
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])).
% 259.49/33.17 cnf(c25, plain,
% 259.49/33.17 ~le(max(X13,X15),X14),
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])).
% 259.49/33.17
% 259.49/33.17 cnf(c26, plain,
% 259.49/33.17 le(max(X8,X6),X7)).
% 259.49/33.17 cnf(a16, assumption,
% 259.49/33.17 max(X13,X15) = max(X8,X6)).
% 259.49/33.17 cnf(a17, assumption,
% 259.49/33.17 X14 = X7).
% 259.49/33.17 cnf(c27, plain,
% 259.49/33.17 $false,
% 259.49/33.17 inference(predicate_reduction, [assumptions([a16, a17])], [c25, c26])).
% 259.49/33.17
% 259.49/33.17 cnf(c28, axiom,
% 259.49/33.17 eq(f(X16),a1) | eq(f(X16),a0)).
% 259.49/33.17 cnf(a18, assumption,
% 259.49/33.17 f(X11) = f(X16)).
% 259.49/33.17 cnf(a19, assumption,
% 259.49/33.17 a1 = a1).
% 259.49/33.17 cnf(c29, plain,
% 259.49/33.17 $false,
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a18, a19])], [c24, c28])).
% 259.49/33.17 cnf(c30, plain,
% 259.49/33.17 eq(f(X16),a0),
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a18, a19])], [c24, c28])).
% 259.49/33.17
% 259.49/33.17 cnf(c31, axiom,
% 259.49/33.17 ~le(s(X17),X18) | ~eq(f(X18),a0) | ~eq(f(X17),a0)).
% 259.49/33.17 cnf(a20, assumption,
% 259.49/33.17 f(X16) = f(X17)).
% 259.49/33.17 cnf(a21, assumption,
% 259.49/33.17 a0 = a0).
% 259.49/33.17 cnf(c32, plain,
% 259.49/33.17 $false,
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a20, a21])], [c30, c31])).
% 259.49/33.17 cnf(c33, plain,
% 259.49/33.17 ~le(s(X17),X18) | ~eq(f(X18),a0),
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a20, a21])], [c30, c31])).
% 259.49/33.17
% 259.49/33.17 cnf(c34, plain,
% 259.49/33.17 le(s(X0),X1)).
% 259.49/33.17 cnf(a22, assumption,
% 259.49/33.17 s(X17) = s(X0)).
% 259.49/33.17 cnf(a23, assumption,
% 259.49/33.17 X18 = X1).
% 259.49/33.17 cnf(c35, plain,
% 259.49/33.17 ~eq(f(X18),a0),
% 259.49/33.17 inference(predicate_reduction, [assumptions([a22, a23])], [c33, c34])).
% 259.49/33.17
% 259.49/33.17 cnf(c36, plain,
% 259.49/33.17 eq(f(X3),a0)).
% 259.49/33.17 cnf(a24, assumption,
% 259.49/33.17 f(X18) = f(X3)).
% 259.49/33.17 cnf(a25, assumption,
% 259.49/33.17 a0 = a0).
% 259.49/33.17 cnf(c37, plain,
% 259.49/33.17 $false,
% 259.49/33.17 inference(predicate_reduction, [assumptions([a24, a25])], [c35, c36])).
% 259.49/33.17
% 259.49/33.17 cnf(c38, axiom,
% 259.49/33.17 eq(f(X19),a1) | eq(f(X19),a0)).
% 259.49/33.17 cnf(a26, assumption,
% 259.49/33.17 f(X0) = f(X19)).
% 259.49/33.17 cnf(a27, assumption,
% 259.49/33.17 a1 = a1).
% 259.49/33.17 cnf(c39, plain,
% 259.49/33.17 $false,
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a26, a27])], [c6, c38])).
% 259.49/33.17 cnf(c40, plain,
% 259.49/33.17 eq(f(X19),a0),
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a26, a27])], [c6, c38])).
% 259.49/33.17
% 259.49/33.17 cnf(c41, axiom,
% 259.49/33.17 ~le(s(X20),X21) | ~eq(f(X21),a0) | ~eq(f(X20),a0)).
% 259.49/33.17 cnf(a28, assumption,
% 259.49/33.17 f(X19) = f(X20)).
% 259.49/33.17 cnf(a29, assumption,
% 259.49/33.17 a0 = a0).
% 259.49/33.17 cnf(c42, plain,
% 259.49/33.17 $false,
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a28, a29])], [c40, c41])).
% 259.49/33.17 cnf(c43, plain,
% 259.49/33.17 ~le(s(X20),X21) | ~eq(f(X21),a0),
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a28, a29])], [c40, c41])).
% 259.49/33.17
% 259.49/33.17 cnf(c44, plain,
% 259.49/33.17 le(s(X11),X12)).
% 259.49/33.17 cnf(a30, assumption,
% 259.49/33.17 s(X20) = s(X11)).
% 259.49/33.17 cnf(a31, assumption,
% 259.49/33.17 X21 = X12).
% 259.49/33.17 cnf(c45, plain,
% 259.49/33.17 ~eq(f(X21),a0),
% 259.49/33.17 inference(predicate_reduction, [assumptions([a30, a31])], [c43, c44])).
% 259.49/33.17
% 259.49/33.17 cnf(c46, axiom,
% 259.49/33.17 eq(f(X22),a1) | eq(f(X22),a0)).
% 259.49/33.17 cnf(a32, assumption,
% 259.49/33.17 f(X21) = f(X22)).
% 259.49/33.17 cnf(a33, assumption,
% 259.49/33.17 a0 = a0).
% 259.49/33.17 cnf(c47, plain,
% 259.49/33.17 $false,
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a32, a33])], [c45, c46])).
% 259.49/33.17 cnf(c48, plain,
% 259.49/33.17 eq(f(X22),a1),
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a32, a33])], [c45, c46])).
% 259.49/33.17
% 259.49/33.17 cnf(c49, axiom,
% 259.49/33.17 ~le(s(X23),X24) | ~eq(f(X24),a1) | ~eq(f(X23),a1)).
% 259.49/33.17 cnf(a34, assumption,
% 259.49/33.17 f(X22) = f(X24)).
% 259.49/33.17 cnf(a35, assumption,
% 259.49/33.17 a1 = a1).
% 259.49/33.17 cnf(c50, plain,
% 259.49/33.17 $false,
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a34, a35])], [c48, c49])).
% 259.49/33.17 cnf(c51, plain,
% 259.49/33.17 ~le(s(X23),X24) | ~eq(f(X23),a1),
% 259.49/33.17 inference(strict_predicate_extension, [assumptions([a34, a35])], [c48, c49])).
% 259.49/33.17
% 259.49/33.17 cnf(c52, plain,
% 259.49/33.17 le(s(X4),X5)).
% 259.49/33.17 cnf(a36, assumption,
% 259.49/33.17 s(X23) = s(X4)).
% 259.49/33.17 cnf(a37, assumption,
% 259.49/33.17 X24 = X5).
% 259.49/33.17 cnf(c53, plain,
% 259.49/33.17 ~eq(f(X23),a1),
% 259.49/33.17 inference(predicate_reduction, [assumptions([a36, a37])], [c51, c52])).
% 259.49/33.17
% 259.49/33.17 cnf(c54, plain,
% 259.49/33.17 eq(f(X1),a1)).
% 259.49/33.17 cnf(a38, assumption,
% 259.49/33.17 f(X23) = f(X1)).
% 259.49/33.17 cnf(a39, assumption,
% 259.49/33.17 a1 = a1).
% 259.49/33.17 cnf(c55, plain,
% 259.49/33.17 $false,
% 259.49/33.17 inference(predicate_reduction, [assumptions([a38, a39])], [c53, c54])).
% 259.49/33.17
% 259.49/33.17 cnf(c56, plain,
% 259.49/33.17 $false,
% 259.49/33.17 inference(constraint_solving, [
% 259.49/33.17 bind(X0, X16),
% 259.49/33.17 bind(X1, s(X0)),
% 259.49/33.17 bind(X2, s(X0)),
% 259.49/33.17 bind(X3, s(X0)),
% 259.49/33.17 bind(X4, s(X0)),
% 259.49/33.17 bind(X5, max(X8,X6)),
% 259.49/33.17 bind(X6, s(X4)),
% 259.49/33.17 bind(X7, max(X8,X6)),
% 259.49/33.17 bind(X8, s(X11)),
% 259.49/33.17 bind(X9, max(X8,X6)),
% 259.49/33.17 bind(X10, max(X8,X6)),
% 259.49/33.17 bind(X11, X16),
% 259.49/33.17 bind(X12, max(X8,X6)),
% 259.49/33.17 bind(X13, s(X11)),
% 259.49/33.17 bind(X14, max(X8,X6)),
% 259.49/33.17 bind(X15, s(X4)),
% 259.49/33.17 bind(X16, X16),
% 259.49/33.17 bind(X17, X16),
% 259.49/33.17 bind(X18, s(X0)),
% 259.49/33.17 bind(X19, X16),
% 259.49/33.17 bind(X20, X16),
% 259.49/33.17 bind(X21, max(X8,X6)),
% 259.49/33.17 bind(X22, max(X8,X6)),
% 259.49/33.17 bind(X23, s(X0)),
% 259.49/33.17 bind(X24, max(X8,X6))
% 259.49/33.17 ],
% 259.49/33.17 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25, a26, a27, a28, a29, a30, a31, a32, a33, a34, a35, a36, a37, a38, a39])).
% 259.49/33.17
% 259.49/33.17 % SZS output end IncompleteProof
%------------------------------------------------------------------------------