TSTP Solution File: SYO652-1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SYO652-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n008.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 17:24:48 EDT 2022
% Result : Unsatisfiable 28.60s 3.95s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYO652-1 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.14 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jul 9 08:52:53 EDT 2022
% 0.14/0.35 % CPUTime :
% 28.60/3.95 % SZS status Unsatisfiable
% 28.60/3.95 % SZS output begin IncompleteProof
% 28.60/3.95 cnf(c0, axiom,
% 28.60/3.95 ~'LE'(f(z),'0')).
% 28.60/3.95 cnf(c1, plain,
% 28.60/3.95 ~'LE'(f(z),'0'),
% 28.60/3.95 inference(start, [], [c0])).
% 28.60/3.95
% 28.60/3.95 cnf(c2, axiom,
% 28.60/3.95 'LE'(f(X0),'0') | 'E'('0',f(suc(X0))) | ~'LE'(f(suc(X0)),s('0'))).
% 28.60/3.95 cnf(a0, assumption,
% 28.60/3.95 f(z) = f(X0)).
% 28.60/3.95 cnf(a1, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(c3, plain,
% 28.60/3.95 $false,
% 28.60/3.95 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 28.60/3.95 cnf(c4, plain,
% 28.60/3.95 'E'('0',f(suc(X0))) | ~'LE'(f(suc(X0)),s('0')),
% 28.60/3.95 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 28.60/3.95
% 28.60/3.95 cnf(c5, axiom,
% 28.60/3.95 iLEQ(suc(X1),suc(X1)) | ~'E'('0',f(X1)) | ~'E'(f(X1),f(suc(X1))) | ~'E'('0',f(suc(X1))) | ~'E'('0',f(suc(suc(X1))))).
% 28.60/3.95 cnf(a2, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(a3, assumption,
% 28.60/3.95 f(suc(X0)) = f(suc(X1))).
% 28.60/3.95 cnf(c6, plain,
% 28.60/3.95 ~'LE'(f(suc(X0)),s('0')),
% 28.60/3.95 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 28.60/3.95 cnf(c7, plain,
% 28.60/3.95 iLEQ(suc(X1),suc(X1)) | ~'E'('0',f(X1)) | ~'E'(f(X1),f(suc(X1))) | ~'E'('0',f(suc(suc(X1)))),
% 28.60/3.95 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 28.60/3.95
% 28.60/3.95 cnf(c8, axiom,
% 28.60/3.95 'E'(f(X2),f(suc(X2))) | 'E'(f(X3),f(suc(X3))) | 'E'(f(X4),f(suc(X4))) | 'E'(f(X5),f(suc(X5))) | ~iLEQ(suc(X4),suc(X3)) | ~'E'('0',f(X3)) | ~'E'('0',f(suc(X2))) | ~iLEQ(suc(X5),suc(X4)) | ~'E'('0',f(suc(X3))) | ~'E'('0',f(X2)) | ~'E'('0',f(X5)) | ~'E'('0',f(X4)) | ~'E'('0',f(suc(X5))) | ~iLEQ(suc(X3),suc(X2)) | ~'E'('0',f(suc(X4)))).
% 28.60/3.95 cnf(a4, assumption,
% 28.60/3.95 suc(X1) = suc(X3)).
% 28.60/3.95 cnf(a5, assumption,
% 28.60/3.95 suc(X1) = suc(X2)).
% 28.60/3.95 cnf(c9, plain,
% 28.60/3.95 ~'E'('0',f(X1)) | ~'E'(f(X1),f(suc(X1))) | ~'E'('0',f(suc(suc(X1)))),
% 28.60/3.95 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 28.60/3.95 cnf(c10, plain,
% 28.60/3.95 'E'(f(X2),f(suc(X2))) | 'E'(f(X3),f(suc(X3))) | 'E'(f(X4),f(suc(X4))) | 'E'(f(X5),f(suc(X5))) | ~iLEQ(suc(X4),suc(X3)) | ~'E'('0',f(X3)) | ~'E'('0',f(suc(X2))) | ~iLEQ(suc(X5),suc(X4)) | ~'E'('0',f(suc(X3))) | ~'E'('0',f(X2)) | ~'E'('0',f(X5)) | ~'E'('0',f(X4)) | ~'E'('0',f(suc(X5))) | ~'E'('0',f(suc(X4))),
% 28.60/3.95 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 28.60/3.95
% 28.60/3.95 cnf(c11, axiom,
% 28.60/3.95 ~iLEQ(suc(X6),suc(X7)) | ~'E'(f(X8),f(suc(X8))) | ~'E'('0',f(suc(suc(X8)))) | ~'E'('0',f(X7)) | ~'E'('0',f(suc(X8))) | ~iLEQ(suc(X9),suc(X6)) | ~'E'(f(X6),f(suc(X6))) | ~'E'(f(X9),f(suc(X9))) | ~'E'('0',f(suc(suc(X7)))) | ~'E'(f(X7),f(suc(X7))) | ~'E'('0',f(suc(X7))) | ~'E'('0',f(X8)) | ~'E'('0',f(X9)) | ~'E'('0',f(X6)) | ~'E'('0',f(suc(suc(X9)))) | ~'E'('0',f(suc(X9))) | ~'E'('0',f(suc(suc(X6)))) | ~iLEQ(suc(X7),suc(X8)) | ~'E'('0',f(suc(X6)))).
% 28.60/3.95 cnf(a6, assumption,
% 28.60/3.95 f(X2) = f(X8)).
% 28.60/3.95 cnf(a7, assumption,
% 28.60/3.95 f(suc(X2)) = f(suc(X8))).
% 28.60/3.95 cnf(c12, plain,
% 28.60/3.95 'E'(f(X3),f(suc(X3))) | 'E'(f(X4),f(suc(X4))) | 'E'(f(X5),f(suc(X5))) | ~iLEQ(suc(X4),suc(X3)) | ~'E'('0',f(X3)) | ~'E'('0',f(suc(X2))) | ~iLEQ(suc(X5),suc(X4)) | ~'E'('0',f(suc(X3))) | ~'E'('0',f(X2)) | ~'E'('0',f(X5)) | ~'E'('0',f(X4)) | ~'E'('0',f(suc(X5))) | ~'E'('0',f(suc(X4))),
% 28.60/3.95 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 28.60/3.95 cnf(c13, plain,
% 28.60/3.95 ~iLEQ(suc(X6),suc(X7)) | ~'E'('0',f(suc(suc(X8)))) | ~'E'('0',f(X7)) | ~'E'('0',f(suc(X8))) | ~iLEQ(suc(X9),suc(X6)) | ~'E'(f(X6),f(suc(X6))) | ~'E'(f(X9),f(suc(X9))) | ~'E'('0',f(suc(suc(X7)))) | ~'E'(f(X7),f(suc(X7))) | ~'E'('0',f(suc(X7))) | ~'E'('0',f(X8)) | ~'E'('0',f(X9)) | ~'E'('0',f(X6)) | ~'E'('0',f(suc(suc(X9)))) | ~'E'('0',f(suc(X9))) | ~'E'('0',f(suc(suc(X6)))) | ~iLEQ(suc(X7),suc(X8)) | ~'E'('0',f(suc(X6))),
% 28.60/3.95 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 28.60/3.95
% 28.60/3.95 cnf(c14, plain,
% 28.60/3.95 iLEQ(suc(X1),suc(X1))).
% 28.60/3.95 cnf(a8, assumption,
% 28.60/3.95 suc(X6) = suc(X1)).
% 28.60/3.95 cnf(a9, assumption,
% 28.60/3.95 suc(X7) = suc(X1)).
% 28.60/3.95 cnf(c15, plain,
% 28.60/3.95 ~'E'('0',f(suc(suc(X8)))) | ~'E'('0',f(X7)) | ~'E'('0',f(suc(X8))) | ~iLEQ(suc(X9),suc(X6)) | ~'E'(f(X6),f(suc(X6))) | ~'E'(f(X9),f(suc(X9))) | ~'E'('0',f(suc(suc(X7)))) | ~'E'(f(X7),f(suc(X7))) | ~'E'('0',f(suc(X7))) | ~'E'('0',f(X8)) | ~'E'('0',f(X9)) | ~'E'('0',f(X6)) | ~'E'('0',f(suc(suc(X9)))) | ~'E'('0',f(suc(X9))) | ~'E'('0',f(suc(suc(X6)))) | ~iLEQ(suc(X7),suc(X8)) | ~'E'('0',f(suc(X6))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a8, a9])], [c13, c14])).
% 28.60/3.95
% 28.60/3.95 cnf(c16, axiom,
% 28.60/3.95 'LE'(f(X10),'0') | 'E'('0',f(suc(suc(X10)))) | ~'LE'(f(suc(suc(X10))),s('0'))).
% 28.60/3.95 cnf(a10, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(a11, assumption,
% 28.60/3.95 f(suc(suc(X8))) = f(suc(suc(X10)))).
% 28.60/3.95 cnf(c17, plain,
% 28.60/3.95 ~'E'('0',f(X7)) | ~'E'('0',f(suc(X8))) | ~iLEQ(suc(X9),suc(X6)) | ~'E'(f(X6),f(suc(X6))) | ~'E'(f(X9),f(suc(X9))) | ~'E'('0',f(suc(suc(X7)))) | ~'E'(f(X7),f(suc(X7))) | ~'E'('0',f(suc(X7))) | ~'E'('0',f(X8)) | ~'E'('0',f(X9)) | ~'E'('0',f(X6)) | ~'E'('0',f(suc(suc(X9)))) | ~'E'('0',f(suc(X9))) | ~'E'('0',f(suc(suc(X6)))) | ~iLEQ(suc(X7),suc(X8)) | ~'E'('0',f(suc(X6))),
% 28.60/3.95 inference(strict_predicate_extension, [assumptions([a10, a11])], [c15, c16])).
% 28.60/3.95 cnf(c18, plain,
% 28.60/3.95 'LE'(f(X10),'0') | ~'LE'(f(suc(suc(X10))),s('0')),
% 28.60/3.95 inference(strict_predicate_extension, [assumptions([a10, a11])], [c15, c16])).
% 28.60/3.95
% 28.60/3.95 cnf(c19, plain,
% 28.60/3.95 ~'LE'(f(z),'0')).
% 28.60/3.95 cnf(a12, assumption,
% 28.60/3.95 f(X10) = f(z)).
% 28.60/3.95 cnf(a13, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(c20, plain,
% 28.60/3.95 ~'LE'(f(suc(suc(X10))),s('0')),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a12, a13])], [c18, c19])).
% 28.60/3.95
% 28.60/3.95 cnf(c21, axiom,
% 28.60/3.95 'LE'(f(X11),s('0'))).
% 28.60/3.95 cnf(a14, assumption,
% 28.60/3.95 f(suc(suc(X10))) = f(X11)).
% 28.60/3.95 cnf(a15, assumption,
% 28.60/3.95 s('0') = s('0')).
% 28.60/3.95 cnf(c22, plain,
% 28.60/3.95 $false,
% 28.60/3.95 inference(strict_predicate_extension, [assumptions([a14, a15])], [c20, c21])).
% 28.60/3.95 cnf(c23, plain,
% 28.60/3.95 $false,
% 28.60/3.95 inference(strict_predicate_extension, [assumptions([a14, a15])], [c20, c21])).
% 28.60/3.95
% 28.60/3.95 cnf(c24, axiom,
% 28.60/3.95 'LE'(f(X12),'0') | 'E'('0',f(X12)) | ~'LE'(f(X12),s('0'))).
% 28.60/3.95 cnf(a16, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(a17, assumption,
% 28.60/3.95 f(X7) = f(X12)).
% 28.60/3.95 cnf(c25, plain,
% 28.60/3.95 ~'E'('0',f(suc(X8))) | ~iLEQ(suc(X9),suc(X6)) | ~'E'(f(X6),f(suc(X6))) | ~'E'(f(X9),f(suc(X9))) | ~'E'('0',f(suc(suc(X7)))) | ~'E'(f(X7),f(suc(X7))) | ~'E'('0',f(suc(X7))) | ~'E'('0',f(X8)) | ~'E'('0',f(X9)) | ~'E'('0',f(X6)) | ~'E'('0',f(suc(suc(X9)))) | ~'E'('0',f(suc(X9))) | ~'E'('0',f(suc(suc(X6)))) | ~iLEQ(suc(X7),suc(X8)) | ~'E'('0',f(suc(X6))),
% 28.60/3.95 inference(strict_predicate_extension, [assumptions([a16, a17])], [c17, c24])).
% 28.60/3.95 cnf(c26, plain,
% 28.60/3.95 'LE'(f(X12),'0') | ~'LE'(f(X12),s('0')),
% 28.60/3.95 inference(strict_predicate_extension, [assumptions([a16, a17])], [c17, c24])).
% 28.60/3.95
% 28.60/3.95 cnf(c27, plain,
% 28.60/3.95 ~'LE'(f(z),'0')).
% 28.60/3.95 cnf(a18, assumption,
% 28.60/3.95 f(X12) = f(z)).
% 28.60/3.95 cnf(a19, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(c28, plain,
% 28.60/3.95 ~'LE'(f(X12),s('0')),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a18, a19])], [c26, c27])).
% 28.60/3.95
% 28.60/3.95 cnf(c29, axiom,
% 28.60/3.95 'LE'(f(X13),s('0'))).
% 28.60/3.95 cnf(a20, assumption,
% 28.60/3.95 f(X12) = f(X13)).
% 28.60/3.95 cnf(a21, assumption,
% 28.60/3.95 s('0') = s('0')).
% 28.60/3.95 cnf(c30, plain,
% 28.60/3.95 $false,
% 28.60/3.95 inference(strict_predicate_extension, [assumptions([a20, a21])], [c28, c29])).
% 28.60/3.95 cnf(c31, plain,
% 28.60/3.95 $false,
% 28.60/3.95 inference(strict_predicate_extension, [assumptions([a20, a21])], [c28, c29])).
% 28.60/3.95
% 28.60/3.95 cnf(c32, plain,
% 28.60/3.95 'E'('0',f(suc(X0)))).
% 28.60/3.95 cnf(a22, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(a23, assumption,
% 28.60/3.95 f(suc(X8)) = f(suc(X0))).
% 28.60/3.95 cnf(c33, plain,
% 28.60/3.95 ~iLEQ(suc(X9),suc(X6)) | ~'E'(f(X6),f(suc(X6))) | ~'E'(f(X9),f(suc(X9))) | ~'E'('0',f(suc(suc(X7)))) | ~'E'(f(X7),f(suc(X7))) | ~'E'('0',f(suc(X7))) | ~'E'('0',f(X8)) | ~'E'('0',f(X9)) | ~'E'('0',f(X6)) | ~'E'('0',f(suc(suc(X9)))) | ~'E'('0',f(suc(X9))) | ~'E'('0',f(suc(suc(X6)))) | ~iLEQ(suc(X7),suc(X8)) | ~'E'('0',f(suc(X6))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a22, a23])], [c25, c32])).
% 28.60/3.95
% 28.60/3.95 cnf(c34, plain,
% 28.60/3.95 iLEQ(suc(X1),suc(X1))).
% 28.60/3.95 cnf(a24, assumption,
% 28.60/3.95 suc(X9) = suc(X1)).
% 28.60/3.95 cnf(a25, assumption,
% 28.60/3.95 suc(X6) = suc(X1)).
% 28.60/3.95 cnf(c35, plain,
% 28.60/3.95 ~'E'(f(X6),f(suc(X6))) | ~'E'(f(X9),f(suc(X9))) | ~'E'('0',f(suc(suc(X7)))) | ~'E'(f(X7),f(suc(X7))) | ~'E'('0',f(suc(X7))) | ~'E'('0',f(X8)) | ~'E'('0',f(X9)) | ~'E'('0',f(X6)) | ~'E'('0',f(suc(suc(X9)))) | ~'E'('0',f(suc(X9))) | ~'E'('0',f(suc(suc(X6)))) | ~iLEQ(suc(X7),suc(X8)) | ~'E'('0',f(suc(X6))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a24, a25])], [c33, c34])).
% 28.60/3.95
% 28.60/3.95 cnf(c36, plain,
% 28.60/3.95 'E'(f(X2),f(suc(X2)))).
% 28.60/3.95 cnf(a26, assumption,
% 28.60/3.95 f(X6) = f(X2)).
% 28.60/3.95 cnf(a27, assumption,
% 28.60/3.95 f(suc(X6)) = f(suc(X2))).
% 28.60/3.95 cnf(c37, plain,
% 28.60/3.95 ~'E'(f(X9),f(suc(X9))) | ~'E'('0',f(suc(suc(X7)))) | ~'E'(f(X7),f(suc(X7))) | ~'E'('0',f(suc(X7))) | ~'E'('0',f(X8)) | ~'E'('0',f(X9)) | ~'E'('0',f(X6)) | ~'E'('0',f(suc(suc(X9)))) | ~'E'('0',f(suc(X9))) | ~'E'('0',f(suc(suc(X6)))) | ~iLEQ(suc(X7),suc(X8)) | ~'E'('0',f(suc(X6))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a26, a27])], [c35, c36])).
% 28.60/3.95
% 28.60/3.95 cnf(c38, plain,
% 28.60/3.95 'E'(f(X2),f(suc(X2)))).
% 28.60/3.95 cnf(a28, assumption,
% 28.60/3.95 f(X9) = f(X2)).
% 28.60/3.95 cnf(a29, assumption,
% 28.60/3.95 f(suc(X9)) = f(suc(X2))).
% 28.60/3.95 cnf(c39, plain,
% 28.60/3.95 ~'E'('0',f(suc(suc(X7)))) | ~'E'(f(X7),f(suc(X7))) | ~'E'('0',f(suc(X7))) | ~'E'('0',f(X8)) | ~'E'('0',f(X9)) | ~'E'('0',f(X6)) | ~'E'('0',f(suc(suc(X9)))) | ~'E'('0',f(suc(X9))) | ~'E'('0',f(suc(suc(X6)))) | ~iLEQ(suc(X7),suc(X8)) | ~'E'('0',f(suc(X6))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a28, a29])], [c37, c38])).
% 28.60/3.95
% 28.60/3.95 cnf(c40, plain,
% 28.60/3.95 'E'('0',f(suc(suc(X8))))).
% 28.60/3.95 cnf(a30, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(a31, assumption,
% 28.60/3.95 f(suc(suc(X7))) = f(suc(suc(X8)))).
% 28.60/3.95 cnf(c41, plain,
% 28.60/3.95 ~'E'(f(X7),f(suc(X7))) | ~'E'('0',f(suc(X7))) | ~'E'('0',f(X8)) | ~'E'('0',f(X9)) | ~'E'('0',f(X6)) | ~'E'('0',f(suc(suc(X9)))) | ~'E'('0',f(suc(X9))) | ~'E'('0',f(suc(suc(X6)))) | ~iLEQ(suc(X7),suc(X8)) | ~'E'('0',f(suc(X6))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a30, a31])], [c39, c40])).
% 28.60/3.95
% 28.60/3.95 cnf(c42, plain,
% 28.60/3.95 'E'(f(X2),f(suc(X2)))).
% 28.60/3.95 cnf(a32, assumption,
% 28.60/3.95 f(X7) = f(X2)).
% 28.60/3.95 cnf(a33, assumption,
% 28.60/3.95 f(suc(X7)) = f(suc(X2))).
% 28.60/3.95 cnf(c43, plain,
% 28.60/3.95 ~'E'('0',f(suc(X7))) | ~'E'('0',f(X8)) | ~'E'('0',f(X9)) | ~'E'('0',f(X6)) | ~'E'('0',f(suc(suc(X9)))) | ~'E'('0',f(suc(X9))) | ~'E'('0',f(suc(suc(X6)))) | ~iLEQ(suc(X7),suc(X8)) | ~'E'('0',f(suc(X6))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a32, a33])], [c41, c42])).
% 28.60/3.95
% 28.60/3.95 cnf(c44, plain,
% 28.60/3.95 'E'('0',f(suc(X0)))).
% 28.60/3.95 cnf(a34, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(a35, assumption,
% 28.60/3.95 f(suc(X7)) = f(suc(X0))).
% 28.60/3.95 cnf(c45, plain,
% 28.60/3.95 ~'E'('0',f(X8)) | ~'E'('0',f(X9)) | ~'E'('0',f(X6)) | ~'E'('0',f(suc(suc(X9)))) | ~'E'('0',f(suc(X9))) | ~'E'('0',f(suc(suc(X6)))) | ~iLEQ(suc(X7),suc(X8)) | ~'E'('0',f(suc(X6))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a34, a35])], [c43, c44])).
% 28.60/3.95
% 28.60/3.95 cnf(c46, plain,
% 28.60/3.95 'E'('0',f(X7))).
% 28.60/3.95 cnf(a36, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(a37, assumption,
% 28.60/3.95 f(X8) = f(X7)).
% 28.60/3.95 cnf(c47, plain,
% 28.60/3.95 ~'E'('0',f(X9)) | ~'E'('0',f(X6)) | ~'E'('0',f(suc(suc(X9)))) | ~'E'('0',f(suc(X9))) | ~'E'('0',f(suc(suc(X6)))) | ~iLEQ(suc(X7),suc(X8)) | ~'E'('0',f(suc(X6))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a36, a37])], [c45, c46])).
% 28.60/3.95
% 28.60/3.95 cnf(c48, plain,
% 28.60/3.95 'E'('0',f(X7))).
% 28.60/3.95 cnf(a38, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(a39, assumption,
% 28.60/3.95 f(X9) = f(X7)).
% 28.60/3.95 cnf(c49, plain,
% 28.60/3.95 ~'E'('0',f(X6)) | ~'E'('0',f(suc(suc(X9)))) | ~'E'('0',f(suc(X9))) | ~'E'('0',f(suc(suc(X6)))) | ~iLEQ(suc(X7),suc(X8)) | ~'E'('0',f(suc(X6))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a38, a39])], [c47, c48])).
% 28.60/3.95
% 28.60/3.95 cnf(c50, plain,
% 28.60/3.95 'E'('0',f(X7))).
% 28.60/3.95 cnf(a40, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(a41, assumption,
% 28.60/3.95 f(X6) = f(X7)).
% 28.60/3.95 cnf(c51, plain,
% 28.60/3.95 ~'E'('0',f(suc(suc(X9)))) | ~'E'('0',f(suc(X9))) | ~'E'('0',f(suc(suc(X6)))) | ~iLEQ(suc(X7),suc(X8)) | ~'E'('0',f(suc(X6))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a40, a41])], [c49, c50])).
% 28.60/3.95
% 28.60/3.95 cnf(c52, plain,
% 28.60/3.95 'E'('0',f(suc(suc(X8))))).
% 28.60/3.95 cnf(a42, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(a43, assumption,
% 28.60/3.95 f(suc(suc(X9))) = f(suc(suc(X8)))).
% 28.60/3.95 cnf(c53, plain,
% 28.60/3.95 ~'E'('0',f(suc(X9))) | ~'E'('0',f(suc(suc(X6)))) | ~iLEQ(suc(X7),suc(X8)) | ~'E'('0',f(suc(X6))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a42, a43])], [c51, c52])).
% 28.60/3.95
% 28.60/3.95 cnf(c54, plain,
% 28.60/3.95 'E'('0',f(suc(X0)))).
% 28.60/3.95 cnf(a44, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(a45, assumption,
% 28.60/3.95 f(suc(X9)) = f(suc(X0))).
% 28.60/3.95 cnf(c55, plain,
% 28.60/3.95 ~'E'('0',f(suc(suc(X6)))) | ~iLEQ(suc(X7),suc(X8)) | ~'E'('0',f(suc(X6))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a44, a45])], [c53, c54])).
% 28.60/3.95
% 28.60/3.95 cnf(c56, plain,
% 28.60/3.95 'E'('0',f(suc(suc(X8))))).
% 28.60/3.95 cnf(a46, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(a47, assumption,
% 28.60/3.95 f(suc(suc(X6))) = f(suc(suc(X8)))).
% 28.60/3.95 cnf(c57, plain,
% 28.60/3.95 ~iLEQ(suc(X7),suc(X8)) | ~'E'('0',f(suc(X6))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a46, a47])], [c55, c56])).
% 28.60/3.95
% 28.60/3.95 cnf(c58, plain,
% 28.60/3.95 iLEQ(suc(X1),suc(X1))).
% 28.60/3.95 cnf(a48, assumption,
% 28.60/3.95 suc(X7) = suc(X1)).
% 28.60/3.95 cnf(a49, assumption,
% 28.60/3.95 suc(X8) = suc(X1)).
% 28.60/3.95 cnf(c59, plain,
% 28.60/3.95 ~'E'('0',f(suc(X6))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a48, a49])], [c57, c58])).
% 28.60/3.95
% 28.60/3.95 cnf(c60, plain,
% 28.60/3.95 'E'('0',f(suc(X0)))).
% 28.60/3.95 cnf(a50, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(a51, assumption,
% 28.60/3.95 f(suc(X6)) = f(suc(X0))).
% 28.60/3.95 cnf(c61, plain,
% 28.60/3.95 $false,
% 28.60/3.95 inference(predicate_reduction, [assumptions([a50, a51])], [c59, c60])).
% 28.60/3.95
% 28.60/3.95 cnf(c62, plain,
% 28.60/3.95 ~'E'(f(X2),f(suc(X2)))).
% 28.60/3.95 cnf(a52, assumption,
% 28.60/3.95 f(X3) = f(X2)).
% 28.60/3.95 cnf(a53, assumption,
% 28.60/3.95 f(suc(X3)) = f(suc(X2))).
% 28.60/3.95 cnf(c63, plain,
% 28.60/3.95 'E'(f(X4),f(suc(X4))) | 'E'(f(X5),f(suc(X5))) | ~iLEQ(suc(X4),suc(X3)) | ~'E'('0',f(X3)) | ~'E'('0',f(suc(X2))) | ~iLEQ(suc(X5),suc(X4)) | ~'E'('0',f(suc(X3))) | ~'E'('0',f(X2)) | ~'E'('0',f(X5)) | ~'E'('0',f(X4)) | ~'E'('0',f(suc(X5))) | ~'E'('0',f(suc(X4))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a52, a53])], [c12, c62])).
% 28.60/3.95
% 28.60/3.95 cnf(c64, plain,
% 28.60/3.95 ~'E'(f(X2),f(suc(X2)))).
% 28.60/3.95 cnf(a54, assumption,
% 28.60/3.95 f(X4) = f(X2)).
% 28.60/3.95 cnf(a55, assumption,
% 28.60/3.95 f(suc(X4)) = f(suc(X2))).
% 28.60/3.95 cnf(c65, plain,
% 28.60/3.95 'E'(f(X5),f(suc(X5))) | ~iLEQ(suc(X4),suc(X3)) | ~'E'('0',f(X3)) | ~'E'('0',f(suc(X2))) | ~iLEQ(suc(X5),suc(X4)) | ~'E'('0',f(suc(X3))) | ~'E'('0',f(X2)) | ~'E'('0',f(X5)) | ~'E'('0',f(X4)) | ~'E'('0',f(suc(X5))) | ~'E'('0',f(suc(X4))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a54, a55])], [c63, c64])).
% 28.60/3.95
% 28.60/3.95 cnf(c66, plain,
% 28.60/3.95 ~'E'(f(X2),f(suc(X2)))).
% 28.60/3.95 cnf(a56, assumption,
% 28.60/3.95 f(X5) = f(X2)).
% 28.60/3.95 cnf(a57, assumption,
% 28.60/3.95 f(suc(X5)) = f(suc(X2))).
% 28.60/3.95 cnf(c67, plain,
% 28.60/3.95 ~iLEQ(suc(X4),suc(X3)) | ~'E'('0',f(X3)) | ~'E'('0',f(suc(X2))) | ~iLEQ(suc(X5),suc(X4)) | ~'E'('0',f(suc(X3))) | ~'E'('0',f(X2)) | ~'E'('0',f(X5)) | ~'E'('0',f(X4)) | ~'E'('0',f(suc(X5))) | ~'E'('0',f(suc(X4))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a56, a57])], [c65, c66])).
% 28.60/3.95
% 28.60/3.95 cnf(c68, plain,
% 28.60/3.95 iLEQ(suc(X1),suc(X1))).
% 28.60/3.95 cnf(a58, assumption,
% 28.60/3.95 suc(X4) = suc(X1)).
% 28.60/3.95 cnf(a59, assumption,
% 28.60/3.95 suc(X3) = suc(X1)).
% 28.60/3.95 cnf(c69, plain,
% 28.60/3.95 ~'E'('0',f(X3)) | ~'E'('0',f(suc(X2))) | ~iLEQ(suc(X5),suc(X4)) | ~'E'('0',f(suc(X3))) | ~'E'('0',f(X2)) | ~'E'('0',f(X5)) | ~'E'('0',f(X4)) | ~'E'('0',f(suc(X5))) | ~'E'('0',f(suc(X4))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a58, a59])], [c67, c68])).
% 28.60/3.95
% 28.60/3.95 cnf(c70, plain,
% 28.60/3.95 'E'('0',f(X7))).
% 28.60/3.95 cnf(a60, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(a61, assumption,
% 28.60/3.95 f(X3) = f(X7)).
% 28.60/3.95 cnf(c71, plain,
% 28.60/3.95 ~'E'('0',f(suc(X2))) | ~iLEQ(suc(X5),suc(X4)) | ~'E'('0',f(suc(X3))) | ~'E'('0',f(X2)) | ~'E'('0',f(X5)) | ~'E'('0',f(X4)) | ~'E'('0',f(suc(X5))) | ~'E'('0',f(suc(X4))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a60, a61])], [c69, c70])).
% 28.60/3.95
% 28.60/3.95 cnf(c72, plain,
% 28.60/3.95 'E'('0',f(suc(X0)))).
% 28.60/3.95 cnf(a62, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(a63, assumption,
% 28.60/3.95 f(suc(X2)) = f(suc(X0))).
% 28.60/3.95 cnf(c73, plain,
% 28.60/3.95 ~iLEQ(suc(X5),suc(X4)) | ~'E'('0',f(suc(X3))) | ~'E'('0',f(X2)) | ~'E'('0',f(X5)) | ~'E'('0',f(X4)) | ~'E'('0',f(suc(X5))) | ~'E'('0',f(suc(X4))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a62, a63])], [c71, c72])).
% 28.60/3.95
% 28.60/3.95 cnf(c74, plain,
% 28.60/3.95 iLEQ(suc(X1),suc(X1))).
% 28.60/3.95 cnf(a64, assumption,
% 28.60/3.95 suc(X5) = suc(X1)).
% 28.60/3.95 cnf(a65, assumption,
% 28.60/3.95 suc(X4) = suc(X1)).
% 28.60/3.95 cnf(c75, plain,
% 28.60/3.95 ~'E'('0',f(suc(X3))) | ~'E'('0',f(X2)) | ~'E'('0',f(X5)) | ~'E'('0',f(X4)) | ~'E'('0',f(suc(X5))) | ~'E'('0',f(suc(X4))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a64, a65])], [c73, c74])).
% 28.60/3.95
% 28.60/3.95 cnf(c76, plain,
% 28.60/3.95 'E'('0',f(suc(X0)))).
% 28.60/3.95 cnf(a66, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(a67, assumption,
% 28.60/3.95 f(suc(X3)) = f(suc(X0))).
% 28.60/3.95 cnf(c77, plain,
% 28.60/3.95 ~'E'('0',f(X2)) | ~'E'('0',f(X5)) | ~'E'('0',f(X4)) | ~'E'('0',f(suc(X5))) | ~'E'('0',f(suc(X4))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a66, a67])], [c75, c76])).
% 28.60/3.95
% 28.60/3.95 cnf(c78, plain,
% 28.60/3.95 'E'('0',f(X7))).
% 28.60/3.95 cnf(a68, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(a69, assumption,
% 28.60/3.95 f(X2) = f(X7)).
% 28.60/3.95 cnf(c79, plain,
% 28.60/3.95 ~'E'('0',f(X5)) | ~'E'('0',f(X4)) | ~'E'('0',f(suc(X5))) | ~'E'('0',f(suc(X4))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a68, a69])], [c77, c78])).
% 28.60/3.95
% 28.60/3.95 cnf(c80, plain,
% 28.60/3.95 'E'('0',f(X7))).
% 28.60/3.95 cnf(a70, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(a71, assumption,
% 28.60/3.95 f(X5) = f(X7)).
% 28.60/3.95 cnf(c81, plain,
% 28.60/3.95 ~'E'('0',f(X4)) | ~'E'('0',f(suc(X5))) | ~'E'('0',f(suc(X4))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a70, a71])], [c79, c80])).
% 28.60/3.95
% 28.60/3.95 cnf(c82, plain,
% 28.60/3.95 'E'('0',f(X7))).
% 28.60/3.95 cnf(a72, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(a73, assumption,
% 28.60/3.95 f(X4) = f(X7)).
% 28.60/3.95 cnf(c83, plain,
% 28.60/3.95 ~'E'('0',f(suc(X5))) | ~'E'('0',f(suc(X4))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a72, a73])], [c81, c82])).
% 28.60/3.95
% 28.60/3.95 cnf(c84, plain,
% 28.60/3.95 'E'('0',f(suc(X0)))).
% 28.60/3.95 cnf(a74, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(a75, assumption,
% 28.60/3.95 f(suc(X5)) = f(suc(X0))).
% 28.60/3.95 cnf(c85, plain,
% 28.60/3.95 ~'E'('0',f(suc(X4))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a74, a75])], [c83, c84])).
% 28.60/3.95
% 28.60/3.95 cnf(c86, plain,
% 28.60/3.95 'E'('0',f(suc(X0)))).
% 28.60/3.95 cnf(a76, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(a77, assumption,
% 28.60/3.95 f(suc(X4)) = f(suc(X0))).
% 28.60/3.95 cnf(c87, plain,
% 28.60/3.95 $false,
% 28.60/3.95 inference(predicate_reduction, [assumptions([a76, a77])], [c85, c86])).
% 28.60/3.95
% 28.60/3.95 cnf(c88, plain,
% 28.60/3.95 'E'('0',f(X7))).
% 28.60/3.95 cnf(a78, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(a79, assumption,
% 28.60/3.95 f(X1) = f(X7)).
% 28.60/3.95 cnf(c89, plain,
% 28.60/3.95 ~'E'(f(X1),f(suc(X1))) | ~'E'('0',f(suc(suc(X1)))),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a78, a79])], [c9, c88])).
% 28.60/3.95
% 28.60/3.95 cnf(c90, axiom,
% 28.60/3.95 iLEQ(suc(X14),suc(X14)) | 'E'(f(X14),f(suc(X14))) | ~'E'('0',f(suc(X14))) | ~'E'('0',f(X14))).
% 28.60/3.95 cnf(a80, assumption,
% 28.60/3.95 f(X1) = f(X14)).
% 28.60/3.95 cnf(a81, assumption,
% 28.60/3.95 f(suc(X1)) = f(suc(X14))).
% 28.60/3.95 cnf(c91, plain,
% 28.60/3.95 ~'E'('0',f(suc(suc(X1)))),
% 28.60/3.95 inference(strict_predicate_extension, [assumptions([a80, a81])], [c89, c90])).
% 28.60/3.95 cnf(c92, plain,
% 28.60/3.95 iLEQ(suc(X14),suc(X14)) | ~'E'('0',f(suc(X14))) | ~'E'('0',f(X14)),
% 28.60/3.95 inference(strict_predicate_extension, [assumptions([a80, a81])], [c89, c90])).
% 28.60/3.95
% 28.60/3.95 cnf(c93, plain,
% 28.60/3.95 ~iLEQ(suc(X1),suc(X1))).
% 28.60/3.95 cnf(a82, assumption,
% 28.60/3.95 suc(X14) = suc(X1)).
% 28.60/3.95 cnf(a83, assumption,
% 28.60/3.95 suc(X14) = suc(X1)).
% 28.60/3.95 cnf(c94, plain,
% 28.60/3.95 ~'E'('0',f(suc(X14))) | ~'E'('0',f(X14)),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a82, a83])], [c92, c93])).
% 28.60/3.95
% 28.60/3.95 cnf(c95, plain,
% 28.60/3.95 'E'('0',f(suc(X0)))).
% 28.60/3.95 cnf(a84, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(a85, assumption,
% 28.60/3.95 f(suc(X14)) = f(suc(X0))).
% 28.60/3.95 cnf(c96, plain,
% 28.60/3.95 ~'E'('0',f(X14)),
% 28.60/3.95 inference(predicate_reduction, [assumptions([a84, a85])], [c94, c95])).
% 28.60/3.95
% 28.60/3.95 cnf(c97, plain,
% 28.60/3.95 'E'('0',f(X7))).
% 28.60/3.95 cnf(a86, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(a87, assumption,
% 28.60/3.95 f(X14) = f(X7)).
% 28.60/3.95 cnf(c98, plain,
% 28.60/3.95 $false,
% 28.60/3.95 inference(predicate_reduction, [assumptions([a86, a87])], [c96, c97])).
% 28.60/3.95
% 28.60/3.95 cnf(c99, plain,
% 28.60/3.95 'E'('0',f(suc(suc(X8))))).
% 28.60/3.95 cnf(a88, assumption,
% 28.60/3.95 '0' = '0').
% 28.60/3.95 cnf(a89, assumption,
% 28.60/3.95 f(suc(suc(X1))) = f(suc(suc(X8)))).
% 28.60/3.95 cnf(c100, plain,
% 28.60/3.95 $false,
% 28.60/3.95 inference(predicate_reduction, [assumptions([a88, a89])], [c91, c99])).
% 28.60/3.95
% 28.60/3.95 cnf(c101, axiom,
% 28.60/3.95 'LE'(f(X15),s('0'))).
% 28.60/3.95 cnf(a90, assumption,
% 28.60/3.95 f(suc(X0)) = f(X15)).
% 28.60/3.95 cnf(a91, assumption,
% 28.60/3.95 s('0') = s('0')).
% 28.60/3.95 cnf(c102, plain,
% 28.60/3.95 $false,
% 28.60/3.95 inference(strict_predicate_extension, [assumptions([a90, a91])], [c6, c101])).
% 28.60/3.95 cnf(c103, plain,
% 28.60/3.95 $false,
% 28.60/3.95 inference(strict_predicate_extension, [assumptions([a90, a91])], [c6, c101])).
% 28.60/3.95
% 28.60/3.95 cnf(c104, plain,
% 28.60/3.95 $false,
% 28.60/3.95 inference(constraint_solving, [
% 28.60/3.95 bind(X0, z),
% 28.60/3.95 bind(X1, z),
% 28.60/3.95 bind(X2, z),
% 28.60/3.95 bind(X3, z),
% 28.60/3.95 bind(X4, z),
% 28.60/3.95 bind(X5, z),
% 28.60/3.95 bind(X6, z),
% 28.60/3.95 bind(X7, z),
% 28.60/3.95 bind(X8, z),
% 28.60/3.95 bind(X9, z),
% 28.60/3.95 bind(X10, z),
% 28.60/3.95 bind(X11, suc(suc(X10))),
% 28.60/3.95 bind(X12, z),
% 28.60/3.95 bind(X13, z),
% 28.60/3.95 bind(X14, z),
% 28.60/3.95 bind(X15, suc(X0))
% 28.60/3.95 ],
% 28.60/3.95 [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, a40, a41, a42, a43, a44, a45, a46, a47, a48, a49, a50, a51, a52, a53, a54, a55, a56, a57, a58, a59, a60, a61, a62, a63, a64, a65, a66, a67, a68, a69, a70, a71, a72, a73, a74, a75, a76, a77, a78, a79, a80, a81, a82, a83, a84, a85, a86, a87, a88, a89, a90, a91])).
% 28.60/3.95
% 28.60/3.95 % SZS output end IncompleteProof
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