TSTP Solution File: SYO629-1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SYO629-1 : 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 : n020.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 17:24:41 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYO629-1 : TPTP v8.1.0. Released v7.1.0.
% 0.12/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34 % Computer : n020.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 : Sat Jul 9 08:08:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.52 % SZS status Unsatisfiable
% 0.19/0.52 % SZS output begin IncompleteProof
% 0.19/0.52 cnf(c0, axiom,
% 0.19/0.52 ~'E'(f(X0),f(g(X0)))).
% 0.19/0.52 cnf(c1, plain,
% 0.19/0.52 ~'E'(f(X0),f(g(X0))),
% 0.19/0.52 inference(start, [], [c0])).
% 0.19/0.52
% 0.19/0.52 cnf(c2, axiom,
% 0.19/0.52 'E'(f(X1),f(g(X1))) | ~'E'(s('0'),f(g(X1))) | ~'E'(s('0'),f(X1))).
% 0.19/0.52 cnf(a0, assumption,
% 0.19/0.52 f(X0) = f(X1)).
% 0.19/0.52 cnf(a1, assumption,
% 0.19/0.52 f(g(X0)) = f(g(X1))).
% 0.19/0.52 cnf(c3, plain,
% 0.19/0.52 $false,
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.19/0.52 cnf(c4, plain,
% 0.19/0.52 ~'E'(s('0'),f(g(X1))) | ~'E'(s('0'),f(X1)),
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.19/0.52
% 0.19/0.52 cnf(c5, axiom,
% 0.19/0.52 'LE'(f(X2),s('0')) | 'E'(s('0'),f(X2))).
% 0.19/0.52 cnf(a2, assumption,
% 0.19/0.52 s('0') = s('0')).
% 0.19/0.52 cnf(a3, assumption,
% 0.19/0.52 f(g(X1)) = f(X2)).
% 0.19/0.52 cnf(c6, plain,
% 0.19/0.52 ~'E'(s('0'),f(X1)),
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 0.19/0.52 cnf(c7, plain,
% 0.19/0.52 'LE'(f(X2),s('0')),
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 0.19/0.52
% 0.19/0.52 cnf(c8, axiom,
% 0.19/0.52 'LE'(f(X3),'0') | 'E'('0',f(X3)) | ~iLEQ(X4,X3) | ~'LE'(f(X4),s('0'))).
% 0.19/0.52 cnf(a4, assumption,
% 0.19/0.52 f(X2) = f(X4)).
% 0.19/0.52 cnf(a5, assumption,
% 0.19/0.52 s('0') = s('0')).
% 0.19/0.52 cnf(c9, plain,
% 0.19/0.52 $false,
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 0.19/0.52 cnf(c10, plain,
% 0.19/0.52 'LE'(f(X3),'0') | 'E'('0',f(X3)) | ~iLEQ(X4,X3),
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 0.19/0.52
% 0.19/0.52 cnf(c11, axiom,
% 0.19/0.52 ~'LE'(f(X5),'0')).
% 0.19/0.52 cnf(a6, assumption,
% 0.19/0.52 f(X3) = f(X5)).
% 0.19/0.52 cnf(a7, assumption,
% 0.19/0.52 '0' = '0').
% 0.19/0.52 cnf(c12, plain,
% 0.19/0.52 'E'('0',f(X3)) | ~iLEQ(X4,X3),
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 0.19/0.52 cnf(c13, plain,
% 0.19/0.52 $false,
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 0.19/0.52
% 0.19/0.52 cnf(c14, axiom,
% 0.19/0.52 'E'(f(X6),f(g(X6))) | ~'E'('0',f(g(X6))) | ~'E'('0',f(X6))).
% 0.19/0.52 cnf(a8, assumption,
% 0.19/0.52 '0' = '0').
% 0.19/0.52 cnf(a9, assumption,
% 0.19/0.52 f(X3) = f(X6)).
% 0.19/0.52 cnf(c15, plain,
% 0.19/0.52 ~iLEQ(X4,X3),
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c14])).
% 0.19/0.52 cnf(c16, plain,
% 0.19/0.52 'E'(f(X6),f(g(X6))) | ~'E'('0',f(g(X6))),
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c14])).
% 0.19/0.52
% 0.19/0.52 cnf(c17, axiom,
% 0.19/0.52 ~'E'(f(X7),f(g(X7)))).
% 0.19/0.52 cnf(a10, assumption,
% 0.19/0.52 f(X6) = f(X7)).
% 0.19/0.52 cnf(a11, assumption,
% 0.19/0.52 f(g(X6)) = f(g(X7))).
% 0.19/0.52 cnf(c18, plain,
% 0.19/0.52 ~'E'('0',f(g(X6))),
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])).
% 0.19/0.52 cnf(c19, plain,
% 0.19/0.52 $false,
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])).
% 0.19/0.52
% 0.19/0.52 cnf(c20, axiom,
% 0.19/0.52 'LE'(f(X8),'0') | 'E'('0',f(X8)) | ~iLEQ(X9,X8) | ~'LE'(f(X9),s('0'))).
% 0.19/0.52 cnf(a12, assumption,
% 0.19/0.52 '0' = '0').
% 0.19/0.52 cnf(a13, assumption,
% 0.19/0.52 f(g(X6)) = f(X8)).
% 0.19/0.52 cnf(c21, plain,
% 0.19/0.52 $false,
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a12, a13])], [c18, c20])).
% 0.19/0.52 cnf(c22, plain,
% 0.19/0.52 'LE'(f(X8),'0') | ~iLEQ(X9,X8) | ~'LE'(f(X9),s('0')),
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a12, a13])], [c18, c20])).
% 0.19/0.52
% 0.19/0.52 cnf(c23, axiom,
% 0.19/0.52 ~'LE'(f(X10),'0')).
% 0.19/0.52 cnf(a14, assumption,
% 0.19/0.52 f(X8) = f(X10)).
% 0.19/0.52 cnf(a15, assumption,
% 0.19/0.52 '0' = '0').
% 0.19/0.52 cnf(c24, plain,
% 0.19/0.52 ~iLEQ(X9,X8) | ~'LE'(f(X9),s('0')),
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])).
% 0.19/0.52 cnf(c25, plain,
% 0.19/0.52 $false,
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])).
% 0.19/0.52
% 0.19/0.52 cnf(c26, axiom,
% 0.19/0.52 iLEQ(X11,g(X11))).
% 0.19/0.52 cnf(a16, assumption,
% 0.19/0.52 X9 = X11).
% 0.19/0.52 cnf(a17, assumption,
% 0.19/0.52 X8 = g(X11)).
% 0.19/0.52 cnf(c27, plain,
% 0.19/0.52 ~'LE'(f(X9),s('0')),
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a16, a17])], [c24, c26])).
% 0.19/0.52 cnf(c28, plain,
% 0.19/0.52 $false,
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a16, a17])], [c24, c26])).
% 0.19/0.52
% 0.19/0.52 cnf(c29, plain,
% 0.19/0.52 'LE'(f(X2),s('0'))).
% 0.19/0.52 cnf(a18, assumption,
% 0.19/0.52 f(X9) = f(X2)).
% 0.19/0.52 cnf(a19, assumption,
% 0.19/0.52 s('0') = s('0')).
% 0.19/0.52 cnf(c30, plain,
% 0.19/0.52 $false,
% 0.19/0.52 inference(predicate_reduction, [assumptions([a18, a19])], [c27, c29])).
% 0.19/0.52
% 0.19/0.52 cnf(c31, axiom,
% 0.19/0.52 iLEQ(X12,X12)).
% 0.19/0.52 cnf(a20, assumption,
% 0.19/0.52 X4 = X12).
% 0.19/0.52 cnf(a21, assumption,
% 0.19/0.52 X3 = X12).
% 0.19/0.52 cnf(c32, plain,
% 0.19/0.52 $false,
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a20, a21])], [c15, c31])).
% 0.19/0.52 cnf(c33, plain,
% 0.19/0.52 $false,
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a20, a21])], [c15, c31])).
% 0.19/0.52
% 0.19/0.52 cnf(c34, axiom,
% 0.19/0.52 'LE'(f(X13),s('0')) | 'E'(s('0'),f(X13))).
% 0.19/0.52 cnf(a22, assumption,
% 0.19/0.52 s('0') = s('0')).
% 0.19/0.52 cnf(a23, assumption,
% 0.19/0.52 f(X1) = f(X13)).
% 0.19/0.52 cnf(c35, plain,
% 0.19/0.52 $false,
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a22, a23])], [c6, c34])).
% 0.19/0.52 cnf(c36, plain,
% 0.19/0.52 'LE'(f(X13),s('0')),
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a22, a23])], [c6, c34])).
% 0.19/0.52
% 0.19/0.52 cnf(c37, axiom,
% 0.19/0.52 'LE'(f(X14),'0') | 'E'('0',f(X14)) | ~iLEQ(X15,X14) | ~'LE'(f(X15),s('0'))).
% 0.19/0.52 cnf(a24, assumption,
% 0.19/0.52 f(X13) = f(X15)).
% 0.19/0.52 cnf(a25, assumption,
% 0.19/0.52 s('0') = s('0')).
% 0.19/0.52 cnf(c38, plain,
% 0.19/0.52 $false,
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a24, a25])], [c36, c37])).
% 0.19/0.52 cnf(c39, plain,
% 0.19/0.52 'LE'(f(X14),'0') | 'E'('0',f(X14)) | ~iLEQ(X15,X14),
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a24, a25])], [c36, c37])).
% 0.19/0.52
% 0.19/0.52 cnf(c40, axiom,
% 0.19/0.52 ~'LE'(f(X16),'0')).
% 0.19/0.52 cnf(a26, assumption,
% 0.19/0.52 f(X14) = f(X16)).
% 0.19/0.52 cnf(a27, assumption,
% 0.19/0.52 '0' = '0').
% 0.19/0.52 cnf(c41, plain,
% 0.19/0.52 'E'('0',f(X14)) | ~iLEQ(X15,X14),
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a26, a27])], [c39, c40])).
% 0.19/0.52 cnf(c42, plain,
% 0.19/0.52 $false,
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a26, a27])], [c39, c40])).
% 0.19/0.52
% 0.19/0.52 cnf(c43, axiom,
% 0.19/0.52 'E'(f(X17),f(g(X17))) | ~'E'('0',f(g(X17))) | ~'E'('0',f(X17))).
% 0.19/0.52 cnf(a28, assumption,
% 0.19/0.52 '0' = '0').
% 0.19/0.52 cnf(a29, assumption,
% 0.19/0.52 f(X14) = f(X17)).
% 0.19/0.52 cnf(c44, plain,
% 0.19/0.52 ~iLEQ(X15,X14),
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a28, a29])], [c41, c43])).
% 0.19/0.52 cnf(c45, plain,
% 0.19/0.52 'E'(f(X17),f(g(X17))) | ~'E'('0',f(g(X17))),
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a28, a29])], [c41, c43])).
% 0.19/0.52
% 0.19/0.52 cnf(c46, plain,
% 0.19/0.52 ~'E'(f(X0),f(g(X0)))).
% 0.19/0.52 cnf(a30, assumption,
% 0.19/0.52 f(X17) = f(X0)).
% 0.19/0.52 cnf(a31, assumption,
% 0.19/0.52 f(g(X17)) = f(g(X0))).
% 0.19/0.52 cnf(c47, plain,
% 0.19/0.52 ~'E'('0',f(g(X17))),
% 0.19/0.52 inference(predicate_reduction, [assumptions([a30, a31])], [c45, c46])).
% 0.19/0.52
% 0.19/0.52 cnf(c48, axiom,
% 0.19/0.52 'LE'(f(X18),'0') | 'E'('0',f(X18)) | ~iLEQ(X19,X18) | ~'LE'(f(X19),s('0'))).
% 0.19/0.52 cnf(a32, assumption,
% 0.19/0.52 '0' = '0').
% 0.19/0.52 cnf(a33, assumption,
% 0.19/0.52 f(g(X17)) = f(X18)).
% 0.19/0.52 cnf(c49, plain,
% 0.19/0.52 $false,
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a32, a33])], [c47, c48])).
% 0.19/0.52 cnf(c50, plain,
% 0.19/0.52 'LE'(f(X18),'0') | ~iLEQ(X19,X18) | ~'LE'(f(X19),s('0')),
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a32, a33])], [c47, c48])).
% 0.19/0.52
% 0.19/0.52 cnf(c51, plain,
% 0.19/0.52 ~'LE'(f(X3),'0')).
% 0.19/0.52 cnf(a34, assumption,
% 0.19/0.52 f(X18) = f(X3)).
% 0.19/0.52 cnf(a35, assumption,
% 0.19/0.52 '0' = '0').
% 0.19/0.52 cnf(c52, plain,
% 0.19/0.52 ~iLEQ(X19,X18) | ~'LE'(f(X19),s('0')),
% 0.19/0.52 inference(predicate_reduction, [assumptions([a34, a35])], [c50, c51])).
% 0.19/0.52
% 0.19/0.52 cnf(c53, axiom,
% 0.19/0.52 iLEQ(X20,g(X20))).
% 0.19/0.52 cnf(a36, assumption,
% 0.19/0.52 X19 = X20).
% 0.19/0.52 cnf(a37, assumption,
% 0.19/0.52 X18 = g(X20)).
% 0.19/0.52 cnf(c54, plain,
% 0.19/0.52 ~'LE'(f(X19),s('0')),
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a36, a37])], [c52, c53])).
% 0.19/0.52 cnf(c55, plain,
% 0.19/0.52 $false,
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a36, a37])], [c52, c53])).
% 0.19/0.52
% 0.19/0.52 cnf(c56, plain,
% 0.19/0.52 'LE'(f(X13),s('0'))).
% 0.19/0.52 cnf(a38, assumption,
% 0.19/0.52 f(X19) = f(X13)).
% 0.19/0.52 cnf(a39, assumption,
% 0.19/0.52 s('0') = s('0')).
% 0.19/0.52 cnf(c57, plain,
% 0.19/0.52 $false,
% 0.19/0.52 inference(predicate_reduction, [assumptions([a38, a39])], [c54, c56])).
% 0.19/0.52
% 0.19/0.52 cnf(c58, axiom,
% 0.19/0.52 iLEQ(X21,X21)).
% 0.19/0.52 cnf(a40, assumption,
% 0.19/0.52 X15 = X21).
% 0.19/0.52 cnf(a41, assumption,
% 0.19/0.52 X14 = X21).
% 0.19/0.52 cnf(c59, plain,
% 0.19/0.52 $false,
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a40, a41])], [c44, c58])).
% 0.19/0.52 cnf(c60, plain,
% 0.19/0.52 $false,
% 0.19/0.52 inference(strict_predicate_extension, [assumptions([a40, a41])], [c44, c58])).
% 0.19/0.52
% 0.19/0.52 cnf(c61, plain,
% 0.19/0.52 $false,
% 0.19/0.52 inference(constraint_solving, [
% 0.19/0.52 bind(X0, X1),
% 0.19/0.52 bind(X1, X1),
% 0.19/0.52 bind(X2, g(X1)),
% 0.19/0.52 bind(X3, g(X1)),
% 0.19/0.52 bind(X4, g(X1)),
% 0.19/0.52 bind(X5, g(X1)),
% 0.19/0.52 bind(X6, g(X1)),
% 0.19/0.52 bind(X7, g(X1)),
% 0.19/0.52 bind(X8, g(X6)),
% 0.19/0.52 bind(X9, g(X1)),
% 0.19/0.52 bind(X10, g(X6)),
% 0.19/0.52 bind(X11, g(X1)),
% 0.19/0.52 bind(X12, g(X1)),
% 0.19/0.52 bind(X13, X1),
% 0.19/0.52 bind(X14, X1),
% 0.19/0.52 bind(X15, X1),
% 0.19/0.52 bind(X16, X1),
% 0.19/0.52 bind(X17, X1),
% 0.19/0.52 bind(X18, g(X17)),
% 0.19/0.52 bind(X19, X1),
% 0.19/0.52 bind(X20, X1),
% 0.19/0.52 bind(X21, X1)
% 0.19/0.52 ],
% 0.19/0.52 [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])).
% 0.19/0.52
% 0.19/0.52 % SZS output end IncompleteProof
%------------------------------------------------------------------------------