TSTP Solution File: SYO633-1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SYO633-1 : 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 : n004.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 17:24:42 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYO633-1 : TPTP v8.1.0. Released v7.1.0.
% 0.06/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33 % Computer : n004.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 : Fri Jul 8 16:01:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % SZS status Unsatisfiable
% 0.12/0.34 % SZS output begin IncompleteProof
% 0.12/0.34 cnf(c0, axiom,
% 0.12/0.34 ~'E'(f(X0),s(s(s(s(s('0')))))) | ~'E'(f(X1),'0') | ~'E'(f(X2),s('0')) | ~'E'(f(X3),s(s(s('0')))) | ~'E'(f(X4),s(s(s(s('0'))))) | ~'E'(f(X5),s(s('0')))).
% 0.12/0.34 cnf(c1, plain,
% 0.12/0.34 ~'E'(f(X0),s(s(s(s(s('0')))))) | ~'E'(f(X1),'0') | ~'E'(f(X2),s('0')) | ~'E'(f(X3),s(s(s('0')))) | ~'E'(f(X4),s(s(s(s('0'))))) | ~'E'(f(X5),s(s('0'))),
% 0.12/0.34 inference(start, [], [c0])).
% 0.12/0.34
% 0.12/0.34 cnf(c2, axiom,
% 0.12/0.34 'E'(f(X6),s(s(s(s(s('0'))))))).
% 0.12/0.34 cnf(a0, assumption,
% 0.12/0.34 f(X0) = f(X6)).
% 0.12/0.34 cnf(a1, assumption,
% 0.12/0.34 s(s(s(s(s('0'))))) = s(s(s(s(s('0')))))).
% 0.12/0.34 cnf(c3, plain,
% 0.12/0.34 ~'E'(f(X1),'0') | ~'E'(f(X2),s('0')) | ~'E'(f(X3),s(s(s('0')))) | ~'E'(f(X4),s(s(s(s('0'))))) | ~'E'(f(X5),s(s('0'))),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.12/0.34 cnf(c4, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.12/0.34
% 0.12/0.34 cnf(c5, axiom,
% 0.12/0.34 'E'(f('AP'(s(s(s(s(s(s('0')))))),X7)),'0') | ~'E'(f(X8),s(s(s(s(s('0')))))) | ~'E'(f(X9),s('0')) | ~'E'(f(X10),s(s(s('0')))) | ~'E'(f(X11),s(s(s(s('0'))))) | ~'E'(f(X12),s(s('0')))).
% 0.12/0.34 cnf(a2, assumption,
% 0.12/0.34 f(X1) = f('AP'(s(s(s(s(s(s('0')))))),X7))).
% 0.12/0.34 cnf(a3, assumption,
% 0.12/0.34 '0' = '0').
% 0.12/0.34 cnf(c6, plain,
% 0.12/0.34 ~'E'(f(X2),s('0')) | ~'E'(f(X3),s(s(s('0')))) | ~'E'(f(X4),s(s(s(s('0'))))) | ~'E'(f(X5),s(s('0'))),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a2, a3])], [c3, c5])).
% 0.12/0.34 cnf(c7, plain,
% 0.12/0.34 ~'E'(f(X8),s(s(s(s(s('0')))))) | ~'E'(f(X9),s('0')) | ~'E'(f(X10),s(s(s('0')))) | ~'E'(f(X11),s(s(s(s('0'))))) | ~'E'(f(X12),s(s('0'))),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a2, a3])], [c3, c5])).
% 0.12/0.34
% 0.12/0.34 cnf(c8, plain,
% 0.12/0.34 'E'(f(X0),s(s(s(s(s('0'))))))).
% 0.12/0.34 cnf(a4, assumption,
% 0.12/0.34 f(X8) = f(X0)).
% 0.12/0.34 cnf(a5, assumption,
% 0.12/0.34 s(s(s(s(s('0'))))) = s(s(s(s(s('0')))))).
% 0.12/0.34 cnf(c9, plain,
% 0.12/0.34 ~'E'(f(X9),s('0')) | ~'E'(f(X10),s(s(s('0')))) | ~'E'(f(X11),s(s(s(s('0'))))) | ~'E'(f(X12),s(s('0'))),
% 0.12/0.34 inference(predicate_reduction, [assumptions([a4, a5])], [c7, c8])).
% 0.12/0.34
% 0.12/0.34 cnf(c10, axiom,
% 0.12/0.34 'E'(f('AP'(s(s(s(s(s(s('0')))))),X13)),s('0')) | ~'E'(f(X14),s(s('0'))) | ~'E'(f(X15),s(s(s('0')))) | ~'E'(f(X16),s(s(s(s(s('0')))))) | ~'E'(f(X17),s(s(s(s('0')))))).
% 0.12/0.34 cnf(a6, assumption,
% 0.12/0.34 f(X9) = f('AP'(s(s(s(s(s(s('0')))))),X13))).
% 0.12/0.34 cnf(a7, assumption,
% 0.12/0.34 s('0') = s('0')).
% 0.12/0.34 cnf(c11, plain,
% 0.12/0.34 ~'E'(f(X10),s(s(s('0')))) | ~'E'(f(X11),s(s(s(s('0'))))) | ~'E'(f(X12),s(s('0'))),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c10])).
% 0.12/0.34 cnf(c12, plain,
% 0.12/0.34 ~'E'(f(X14),s(s('0'))) | ~'E'(f(X15),s(s(s('0')))) | ~'E'(f(X16),s(s(s(s(s('0')))))) | ~'E'(f(X17),s(s(s(s('0'))))),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c10])).
% 0.12/0.34
% 0.12/0.34 cnf(c13, axiom,
% 0.12/0.34 'E'(f('AP'(s(s(s(s(s(s('0')))))),X18)),s(s('0'))) | ~'E'(f(X19),s(s(s('0')))) | ~'E'(f(X20),s(s(s(s(s('0')))))) | ~'E'(f(X21),s(s(s(s('0')))))).
% 0.12/0.34 cnf(a8, assumption,
% 0.12/0.34 f(X14) = f('AP'(s(s(s(s(s(s('0')))))),X18))).
% 0.12/0.34 cnf(a9, assumption,
% 0.12/0.34 s(s('0')) = s(s('0'))).
% 0.12/0.34 cnf(c14, plain,
% 0.12/0.34 ~'E'(f(X15),s(s(s('0')))) | ~'E'(f(X16),s(s(s(s(s('0')))))) | ~'E'(f(X17),s(s(s(s('0'))))),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c13])).
% 0.12/0.34 cnf(c15, plain,
% 0.12/0.34 ~'E'(f(X19),s(s(s('0')))) | ~'E'(f(X20),s(s(s(s(s('0')))))) | ~'E'(f(X21),s(s(s(s('0'))))),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c13])).
% 0.12/0.34
% 0.12/0.34 cnf(c16, axiom,
% 0.12/0.34 'E'(f(X22),s(s(s('0')))) | ~'E'(f(X22),s(s(s(s(s('0')))))) | ~'E'(f(X23),s(s(s(s('0')))))).
% 0.12/0.34 cnf(a10, assumption,
% 0.12/0.34 f(X19) = f(X22)).
% 0.12/0.34 cnf(a11, assumption,
% 0.12/0.34 s(s(s('0'))) = s(s(s('0')))).
% 0.12/0.34 cnf(c17, plain,
% 0.12/0.34 ~'E'(f(X20),s(s(s(s(s('0')))))) | ~'E'(f(X21),s(s(s(s('0'))))),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a10, a11])], [c15, c16])).
% 0.12/0.34 cnf(c18, plain,
% 0.12/0.34 ~'E'(f(X22),s(s(s(s(s('0')))))) | ~'E'(f(X23),s(s(s(s('0'))))),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a10, a11])], [c15, c16])).
% 0.12/0.34
% 0.12/0.34 cnf(c19, plain,
% 0.12/0.34 'E'(f(X0),s(s(s(s(s('0'))))))).
% 0.12/0.34 cnf(a12, assumption,
% 0.12/0.34 f(X22) = f(X0)).
% 0.12/0.34 cnf(a13, assumption,
% 0.12/0.34 s(s(s(s(s('0'))))) = s(s(s(s(s('0')))))).
% 0.12/0.34 cnf(c20, plain,
% 0.12/0.34 ~'E'(f(X23),s(s(s(s('0'))))),
% 0.12/0.34 inference(predicate_reduction, [assumptions([a12, a13])], [c18, c19])).
% 0.12/0.34
% 0.12/0.34 cnf(c21, axiom,
% 0.12/0.34 'E'(f(X24),s(s(s(s('0')))))).
% 0.12/0.34 cnf(a14, assumption,
% 0.12/0.34 f(X23) = f(X24)).
% 0.12/0.34 cnf(a15, assumption,
% 0.12/0.34 s(s(s(s('0')))) = s(s(s(s('0'))))).
% 0.12/0.34 cnf(c22, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a14, a15])], [c20, c21])).
% 0.12/0.34 cnf(c23, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a14, a15])], [c20, c21])).
% 0.12/0.34
% 0.12/0.34 cnf(c24, plain,
% 0.12/0.34 'E'(f(X0),s(s(s(s(s('0'))))))).
% 0.12/0.34 cnf(a16, assumption,
% 0.12/0.34 f(X20) = f(X0)).
% 0.12/0.34 cnf(a17, assumption,
% 0.12/0.34 s(s(s(s(s('0'))))) = s(s(s(s(s('0')))))).
% 0.12/0.34 cnf(c25, plain,
% 0.12/0.34 ~'E'(f(X21),s(s(s(s('0'))))),
% 0.12/0.34 inference(predicate_reduction, [assumptions([a16, a17])], [c17, c24])).
% 0.12/0.34
% 0.12/0.34 cnf(c26, plain,
% 0.12/0.34 'E'(f(X23),s(s(s(s('0')))))).
% 0.12/0.34 cnf(a18, assumption,
% 0.12/0.34 f(X21) = f(X23)).
% 0.12/0.34 cnf(a19, assumption,
% 0.12/0.34 s(s(s(s('0')))) = s(s(s(s('0'))))).
% 0.12/0.34 cnf(c27, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(predicate_reduction, [assumptions([a18, a19])], [c25, c26])).
% 0.12/0.34
% 0.12/0.34 cnf(c28, plain,
% 0.12/0.34 'E'(f(X19),s(s(s('0'))))).
% 0.12/0.34 cnf(a20, assumption,
% 0.12/0.34 f(X15) = f(X19)).
% 0.12/0.34 cnf(a21, assumption,
% 0.12/0.34 s(s(s('0'))) = s(s(s('0')))).
% 0.12/0.34 cnf(c29, plain,
% 0.12/0.34 ~'E'(f(X16),s(s(s(s(s('0')))))) | ~'E'(f(X17),s(s(s(s('0'))))),
% 0.12/0.34 inference(predicate_reduction, [assumptions([a20, a21])], [c14, c28])).
% 0.12/0.34
% 0.12/0.34 cnf(c30, plain,
% 0.12/0.34 'E'(f(X0),s(s(s(s(s('0'))))))).
% 0.12/0.34 cnf(a22, assumption,
% 0.12/0.34 f(X16) = f(X0)).
% 0.12/0.34 cnf(a23, assumption,
% 0.12/0.34 s(s(s(s(s('0'))))) = s(s(s(s(s('0')))))).
% 0.12/0.34 cnf(c31, plain,
% 0.12/0.34 ~'E'(f(X17),s(s(s(s('0'))))),
% 0.12/0.34 inference(predicate_reduction, [assumptions([a22, a23])], [c29, c30])).
% 0.12/0.34
% 0.12/0.34 cnf(c32, plain,
% 0.12/0.34 'E'(f(X23),s(s(s(s('0')))))).
% 0.12/0.34 cnf(a24, assumption,
% 0.12/0.34 f(X17) = f(X23)).
% 0.12/0.34 cnf(a25, assumption,
% 0.12/0.34 s(s(s(s('0')))) = s(s(s(s('0'))))).
% 0.12/0.34 cnf(c33, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(predicate_reduction, [assumptions([a24, a25])], [c31, c32])).
% 0.12/0.34
% 0.12/0.34 cnf(c34, plain,
% 0.12/0.34 'E'(f(X19),s(s(s('0'))))).
% 0.12/0.34 cnf(a26, assumption,
% 0.12/0.34 f(X10) = f(X19)).
% 0.12/0.34 cnf(a27, assumption,
% 0.12/0.34 s(s(s('0'))) = s(s(s('0')))).
% 0.12/0.34 cnf(c35, plain,
% 0.12/0.34 ~'E'(f(X11),s(s(s(s('0'))))) | ~'E'(f(X12),s(s('0'))),
% 0.12/0.34 inference(predicate_reduction, [assumptions([a26, a27])], [c11, c34])).
% 0.12/0.34
% 0.12/0.34 cnf(c36, plain,
% 0.12/0.34 'E'(f(X23),s(s(s(s('0')))))).
% 0.12/0.34 cnf(a28, assumption,
% 0.12/0.34 f(X11) = f(X23)).
% 0.12/0.34 cnf(a29, assumption,
% 0.12/0.34 s(s(s(s('0')))) = s(s(s(s('0'))))).
% 0.12/0.34 cnf(c37, plain,
% 0.12/0.34 ~'E'(f(X12),s(s('0'))),
% 0.12/0.34 inference(predicate_reduction, [assumptions([a28, a29])], [c35, c36])).
% 0.12/0.34
% 0.12/0.34 cnf(c38, plain,
% 0.12/0.34 'E'(f(X14),s(s('0')))).
% 0.12/0.34 cnf(a30, assumption,
% 0.12/0.34 f(X12) = f(X14)).
% 0.12/0.34 cnf(a31, assumption,
% 0.12/0.34 s(s('0')) = s(s('0'))).
% 0.12/0.34 cnf(c39, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(predicate_reduction, [assumptions([a30, a31])], [c37, c38])).
% 0.12/0.34
% 0.12/0.34 cnf(c40, plain,
% 0.12/0.34 'E'(f(X9),s('0'))).
% 0.12/0.34 cnf(a32, assumption,
% 0.12/0.34 f(X2) = f(X9)).
% 0.12/0.34 cnf(a33, assumption,
% 0.12/0.34 s('0') = s('0')).
% 0.12/0.34 cnf(c41, plain,
% 0.12/0.34 ~'E'(f(X3),s(s(s('0')))) | ~'E'(f(X4),s(s(s(s('0'))))) | ~'E'(f(X5),s(s('0'))),
% 0.12/0.34 inference(predicate_reduction, [assumptions([a32, a33])], [c6, c40])).
% 0.12/0.34
% 0.12/0.34 cnf(c42, plain,
% 0.12/0.34 'E'(f(X19),s(s(s('0'))))).
% 0.12/0.34 cnf(a34, assumption,
% 0.12/0.34 f(X3) = f(X19)).
% 0.12/0.34 cnf(a35, assumption,
% 0.12/0.34 s(s(s('0'))) = s(s(s('0')))).
% 0.12/0.34 cnf(c43, plain,
% 0.12/0.34 ~'E'(f(X4),s(s(s(s('0'))))) | ~'E'(f(X5),s(s('0'))),
% 0.12/0.34 inference(predicate_reduction, [assumptions([a34, a35])], [c41, c42])).
% 0.12/0.34
% 0.12/0.34 cnf(c44, plain,
% 0.12/0.34 'E'(f(X23),s(s(s(s('0')))))).
% 0.12/0.34 cnf(a36, assumption,
% 0.12/0.34 f(X4) = f(X23)).
% 0.12/0.34 cnf(a37, assumption,
% 0.12/0.34 s(s(s(s('0')))) = s(s(s(s('0'))))).
% 0.12/0.34 cnf(c45, plain,
% 0.12/0.34 ~'E'(f(X5),s(s('0'))),
% 0.12/0.34 inference(predicate_reduction, [assumptions([a36, a37])], [c43, c44])).
% 0.12/0.34
% 0.12/0.34 cnf(c46, plain,
% 0.12/0.34 'E'(f(X14),s(s('0')))).
% 0.12/0.34 cnf(a38, assumption,
% 0.12/0.34 f(X5) = f(X14)).
% 0.12/0.34 cnf(a39, assumption,
% 0.12/0.34 s(s('0')) = s(s('0'))).
% 0.12/0.34 cnf(c47, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(predicate_reduction, [assumptions([a38, a39])], [c45, c46])).
% 0.12/0.34
% 0.12/0.34 cnf(c48, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(constraint_solving, [
% 0.12/0.34 bind(X0, X6),
% 0.12/0.34 bind(X1, 'AP'(s(s(s(s(s(s('0')))))),X7)),
% 0.12/0.34 bind(X2, 'AP'(s(s(s(s(s(s('0')))))),X13)),
% 0.12/0.34 bind(X3, X6),
% 0.12/0.34 bind(X4, X24),
% 0.12/0.34 bind(X5, 'AP'(s(s(s(s(s(s('0')))))),X18)),
% 0.12/0.34 bind(X6, X6),
% 0.12/0.34 bind(X7, X7),
% 0.12/0.34 bind(X8, X6),
% 0.12/0.34 bind(X9, 'AP'(s(s(s(s(s(s('0')))))),X13)),
% 0.12/0.34 bind(X10, X6),
% 0.12/0.34 bind(X11, X24),
% 0.12/0.34 bind(X12, 'AP'(s(s(s(s(s(s('0')))))),X18)),
% 0.12/0.34 bind(X13, X13),
% 0.12/0.34 bind(X14, 'AP'(s(s(s(s(s(s('0')))))),X18)),
% 0.12/0.34 bind(X15, X6),
% 0.12/0.34 bind(X16, X6),
% 0.12/0.34 bind(X17, X24),
% 0.12/0.34 bind(X18, X18),
% 0.12/0.34 bind(X19, X6),
% 0.12/0.34 bind(X20, X6),
% 0.12/0.34 bind(X21, X24),
% 0.12/0.34 bind(X22, X6),
% 0.12/0.34 bind(X23, X24),
% 0.12/0.34 bind(X24, X24)
% 0.12/0.34 ],
% 0.12/0.34 [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])).
% 0.12/0.34
% 0.12/0.34 % SZS output end IncompleteProof
%------------------------------------------------------------------------------