TSTP Solution File: ALG187+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG187+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% 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 14 15:32:50 EDT 2022
% Result : Theorem 7.72s 2.46s
% Output : CNFRefutation 7.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 69
% Syntax : Number of clauses : 223 ( 99 unt; 2 nHn; 223 RR)
% Number of literals : 731 ( 458 equ; 522 neg)
% Maximal clause size : 26 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 40 ( 38 usr; 39 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_76,plain,
( epred2_0
| op(e0,e1) != e2
| op(e0,e2) != e0
| ~ epred1_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_76) ).
cnf(i_0_34,plain,
op(e0,e1) = e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_34) ).
cnf(i_0_33,plain,
op(e0,e2) = e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_33) ).
cnf(i_0_57,plain,
( op(e0,e0) = e0
| op(e0,e1) = e1
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4
| epred1_0
| op(e0,e0) != e4 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_57) ).
cnf(i_0_35,plain,
op(e0,e0) = e4,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_35) ).
cnf(i_0_31,plain,
op(e0,e4) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_31) ).
cnf(i_0_32,plain,
op(e0,e3) = e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_32) ).
cnf(i_0_7,plain,
e4 != e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_7) ).
cnf(i_0_1,plain,
e3 != e4,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_1) ).
cnf(i_0_6,plain,
e2 != e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_6) ).
cnf(i_0_9,plain,
e2 != e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_9) ).
cnf(i_0_5,plain,
e3 != e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_5) ).
cnf(i_0_103,plain,
( epred3_0
| op(e0,e3) != e1
| op(e0,e4) != e3
| ~ epred2_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_103) ).
cnf(i_0_135,plain,
( epred4_0
| op(e1,e0) != e0
| op(e1,e1) != e1
| ~ epred3_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_135) ).
cnf(i_0_30,plain,
op(e1,e0) = e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_30) ).
cnf(i_0_29,plain,
op(e1,e1) = e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_29) ).
cnf(i_0_148,plain,
( epred5_0
| op(e1,e2) != e2
| op(e1,e3) != e3
| ~ epred4_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_148) ).
cnf(i_0_28,plain,
op(e1,e2) = e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_28) ).
cnf(i_0_27,plain,
op(e1,e3) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_27) ).
cnf(i_0_165,plain,
( epred6_0
| op(e1,e4) != e4
| op(e2,e0) != e1
| ~ epred5_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_165) ).
cnf(i_0_26,plain,
op(e1,e4) = e4,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_26) ).
cnf(i_0_25,plain,
op(e2,e0) = e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_25) ).
cnf(i_0_188,plain,
( epred7_0
| op(e2,e1) != e4
| op(e2,e2) != e3
| ~ epred6_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_188) ).
cnf(i_0_24,plain,
op(e2,e1) = e4,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_24) ).
cnf(i_0_23,plain,
op(e2,e2) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_23) ).
cnf(i_0_234,plain,
( epred8_0
| op(e2,e3) != e0
| op(e2,e4) != e2
| ~ epred7_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_234) ).
cnf(i_0_21,plain,
op(e2,e4) = e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_21) ).
cnf(i_0_22,plain,
op(e2,e3) = e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_22) ).
cnf(i_0_246,plain,
( epred9_0
| op(e3,e0) != e3
| op(e3,e1) != e0
| ~ epred8_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_246) ).
cnf(i_0_20,plain,
op(e3,e0) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_20) ).
cnf(i_0_19,plain,
op(e3,e1) = e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_19) ).
cnf(i_0_264,plain,
( epred10_0
| op(e3,e2) != e4
| op(e3,e3) != e2
| ~ epred9_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_264) ).
cnf(i_0_18,plain,
op(e3,e2) = e4,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_18) ).
cnf(i_0_17,plain,
op(e3,e3) = e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_17) ).
cnf(i_0_304,plain,
( epred11_0
| op(e3,e4) != e1
| op(e4,e0) != e2
| ~ epred10_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_304) ).
cnf(i_0_15,plain,
op(e4,e0) = e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_15) ).
cnf(i_0_16,plain,
op(e3,e4) = e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_16) ).
cnf(i_0_320,plain,
( epred12_0
| op(e4,e1) != e3
| op(e4,e2) != e1
| ~ epred11_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_320) ).
cnf(i_0_14,plain,
op(e4,e1) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_14) ).
cnf(i_0_13,plain,
op(e4,e2) = e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_13) ).
cnf(i_0_341,plain,
( epred13_0
| op(e4,e3) != e4
| op(e4,e4) != e0
| ~ epred12_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_341) ).
cnf(i_0_11,plain,
op(e4,e4) = e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_11) ).
cnf(i_0_12,plain,
op(e4,e3) = e4,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_12) ).
cnf(i_0_375,plain,
( epred14_0
| op(e0,e2) != e0
| op(e1,e0) != e0
| ~ epred13_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_375) ).
cnf(i_0_394,plain,
( epred15_0
| op(e0,e3) != e1
| op(e2,e0) != e1
| ~ epred14_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_394) ).
cnf(i_0_427,plain,
( epred16_0
| op(e0,e1) != e2
| op(e4,e0) != e2
| ~ epred15_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_427) ).
cnf(i_0_438,plain,
( epred17_0
| op(e0,e4) != e3
| op(e3,e0) != e3
| ~ epred16_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_438) ).
cnf(i_0_486,plain,
( epred18_0
| op(e0,e0) != e4
| ~ epred17_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_486) ).
cnf(i_0_508,plain,
( epred19_0
| op(e1,e0) != e0
| op(e3,e1) != e0
| ~ epred18_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_508) ).
cnf(i_0_530,plain,
( epred20_0
| op(e1,e1) != e1
| ~ epred19_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_530) ).
cnf(i_0_551,plain,
( epred21_0
| op(e0,e1) != e2
| op(e1,e2) != e2
| ~ epred20_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_551) ).
cnf(i_0_567,plain,
( epred22_0
| op(e1,e3) != e3
| op(e4,e1) != e3
| ~ epred21_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_567) ).
cnf(i_0_589,plain,
( epred23_0
| op(e1,e4) != e4
| op(e2,e1) != e4
| ~ epred22_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_589) ).
cnf(i_0_621,plain,
( epred24_0
| op(e0,e2) != e0
| op(e2,e3) != e0
| ~ epred23_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_621) ).
cnf(i_0_657,plain,
( epred25_0
| op(e2,e0) != e1
| op(e4,e2) != e1
| ~ epred24_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_657) ).
cnf(i_0_665,plain,
( epred26_0
| op(e1,e2) != e2
| op(e2,e4) != e2
| ~ epred25_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_665) ).
cnf(i_0_36,negated_conjecture,
( op(op(e0,e0),op(e0,e0)) != e0
| op(op(e0,e1),op(e1,e0)) != e1
| op(op(e0,e2),op(e2,e0)) != e2
| op(op(e0,e3),op(e3,e0)) != e3
| op(op(e0,e4),op(e4,e0)) != e4
| op(op(e1,e0),op(e0,e1)) != e0
| op(op(e1,e1),op(e1,e1)) != e1
| op(op(e1,e2),op(e2,e1)) != e2
| op(op(e1,e3),op(e3,e1)) != e3
| op(op(e1,e4),op(e4,e1)) != e4
| op(op(e2,e0),op(e0,e2)) != e0
| op(op(e2,e1),op(e1,e2)) != e1
| op(op(e2,e2),op(e2,e2)) != e2
| op(op(e2,e3),op(e3,e2)) != e3
| op(op(e2,e4),op(e4,e2)) != e4
| op(op(e3,e0),op(e0,e3)) != e0
| op(op(e3,e1),op(e1,e3)) != e1
| op(op(e3,e2),op(e2,e3)) != e2
| op(op(e3,e3),op(e3,e3)) != e3
| op(op(e3,e4),op(e4,e3)) != e4
| op(op(e4,e0),op(e0,e4)) != e0
| op(op(e4,e1),op(e1,e4)) != e1
| op(op(e4,e2),op(e2,e4)) != e2
| op(op(e4,e3),op(e3,e4)) != e3
| op(op(e4,e4),op(e4,e4)) != e4
| ~ epred38_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_36) ).
cnf(i_0_699,plain,
( epred27_0
| op(e2,e2) != e3
| ~ epred26_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_699) ).
cnf(i_0_728,plain,
( epred28_0
| op(e2,e1) != e4
| op(e3,e2) != e4
| ~ epred27_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_728) ).
cnf(i_0_754,plain,
( epred29_0
| op(e2,e3) != e0
| op(e3,e1) != e0
| ~ epred28_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_754) ).
cnf(i_0_766,plain,
( epred30_0
| op(e0,e3) != e1
| op(e3,e4) != e1
| ~ epred29_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_766) ).
cnf(i_0_793,plain,
( epred31_0
| op(e3,e3) != e2
| ~ epred30_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_793) ).
cnf(i_0_835,plain,
( epred32_0
| op(e1,e3) != e3
| op(e3,e0) != e3
| ~ epred31_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_835) ).
cnf(i_0_847,plain,
( epred33_0
| op(e3,e2) != e4
| op(e4,e3) != e4
| ~ epred32_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_847) ).
cnf(i_0_862,plain,
( epred34_0
| op(e4,e4) != e0
| ~ epred33_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_862) ).
cnf(i_0_898,plain,
( epred35_0
| op(e3,e4) != e1
| op(e4,e2) != e1
| ~ epred34_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_898) ).
cnf(i_0_934,plain,
( epred36_0
| op(e2,e4) != e2
| op(e4,e0) != e2
| ~ epred35_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_934) ).
cnf(i_0_956,plain,
( epred37_0
| op(e0,e4) != e3
| op(e4,e1) != e3
| ~ epred36_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_956) ).
cnf(i_0_970,plain,
( epred38_0
| op(e1,e4) != e4
| op(e4,e3) != e4
| ~ epred37_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6c35ufgs/input.p',i_0_970) ).
cnf(c_0_1040,plain,
( epred2_0
| op(e0,e1) != e2
| op(e0,e2) != e0
| ~ epred1_0 ),
i_0_76 ).
cnf(c_0_1041,plain,
op(e0,e1) = e2,
i_0_34 ).
cnf(c_0_1042,plain,
op(e0,e2) = e0,
i_0_33 ).
cnf(c_0_1043,plain,
( op(e0,e0) = e0
| op(e0,e1) = e1
| op(e0,e2) = e2
| op(e0,e3) = e3
| op(e0,e4) = e4
| epred1_0
| op(e0,e0) != e4 ),
i_0_57 ).
cnf(c_0_1044,plain,
op(e0,e0) = e4,
i_0_35 ).
cnf(c_0_1045,plain,
op(e0,e4) = e3,
i_0_31 ).
cnf(c_0_1046,plain,
op(e0,e3) = e1,
i_0_32 ).
cnf(c_0_1047,plain,
e4 != e0,
i_0_7 ).
cnf(c_0_1048,plain,
e3 != e4,
i_0_1 ).
cnf(c_0_1049,plain,
e2 != e1,
i_0_6 ).
cnf(c_0_1050,plain,
e2 != e0,
i_0_9 ).
cnf(c_0_1051,plain,
e3 != e1,
i_0_5 ).
cnf(c_0_1052,plain,
( epred3_0
| op(e0,e3) != e1
| op(e0,e4) != e3
| ~ epred2_0 ),
i_0_103 ).
cnf(c_0_1053,plain,
( epred2_0
| ~ epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1040,c_0_1041]),c_0_1042])]) ).
cnf(c_0_1054,plain,
epred1_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1043,c_0_1044]),c_0_1045]),c_0_1041]),c_0_1042]),c_0_1046]),c_0_1044])]),c_0_1047]),c_0_1048]),c_0_1049]),c_0_1050]),c_0_1051]) ).
cnf(c_0_1055,plain,
( epred4_0
| op(e1,e0) != e0
| op(e1,e1) != e1
| ~ epred3_0 ),
i_0_135 ).
cnf(c_0_1056,plain,
op(e1,e0) = e0,
i_0_30 ).
cnf(c_0_1057,plain,
op(e1,e1) = e1,
i_0_29 ).
cnf(c_0_1058,plain,
( epred3_0
| ~ epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1052,c_0_1045]),c_0_1046])]) ).
cnf(c_0_1059,plain,
epred2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1053,c_0_1054])]) ).
cnf(c_0_1060,plain,
( epred5_0
| op(e1,e2) != e2
| op(e1,e3) != e3
| ~ epred4_0 ),
i_0_148 ).
cnf(c_0_1061,plain,
op(e1,e2) = e2,
i_0_28 ).
cnf(c_0_1062,plain,
op(e1,e3) = e3,
i_0_27 ).
cnf(c_0_1063,plain,
( epred4_0
| ~ epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1055,c_0_1056]),c_0_1057])]) ).
cnf(c_0_1064,plain,
epred3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1058,c_0_1059])]) ).
cnf(c_0_1065,plain,
( epred6_0
| op(e1,e4) != e4
| op(e2,e0) != e1
| ~ epred5_0 ),
i_0_165 ).
cnf(c_0_1066,plain,
op(e1,e4) = e4,
i_0_26 ).
cnf(c_0_1067,plain,
op(e2,e0) = e1,
i_0_25 ).
cnf(c_0_1068,plain,
( epred5_0
| ~ epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1060,c_0_1061]),c_0_1062])]) ).
cnf(c_0_1069,plain,
epred4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1063,c_0_1064])]) ).
cnf(c_0_1070,plain,
( epred7_0
| op(e2,e1) != e4
| op(e2,e2) != e3
| ~ epred6_0 ),
i_0_188 ).
cnf(c_0_1071,plain,
op(e2,e1) = e4,
i_0_24 ).
cnf(c_0_1072,plain,
op(e2,e2) = e3,
i_0_23 ).
cnf(c_0_1073,plain,
( epred6_0
| ~ epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1065,c_0_1066]),c_0_1067])]) ).
cnf(c_0_1074,plain,
epred5_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1068,c_0_1069])]) ).
cnf(c_0_1075,plain,
( epred8_0
| op(e2,e3) != e0
| op(e2,e4) != e2
| ~ epred7_0 ),
i_0_234 ).
cnf(c_0_1076,plain,
op(e2,e4) = e2,
i_0_21 ).
cnf(c_0_1077,plain,
op(e2,e3) = e0,
i_0_22 ).
cnf(c_0_1078,plain,
( epred7_0
| ~ epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1070,c_0_1071]),c_0_1072])]) ).
cnf(c_0_1079,plain,
epred6_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1073,c_0_1074])]) ).
cnf(c_0_1080,plain,
( epred9_0
| op(e3,e0) != e3
| op(e3,e1) != e0
| ~ epred8_0 ),
i_0_246 ).
cnf(c_0_1081,plain,
op(e3,e0) = e3,
i_0_20 ).
cnf(c_0_1082,plain,
op(e3,e1) = e0,
i_0_19 ).
cnf(c_0_1083,plain,
( epred8_0
| ~ epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1075,c_0_1076]),c_0_1077])]) ).
cnf(c_0_1084,plain,
epred7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1078,c_0_1079])]) ).
cnf(c_0_1085,plain,
( epred10_0
| op(e3,e2) != e4
| op(e3,e3) != e2
| ~ epred9_0 ),
i_0_264 ).
cnf(c_0_1086,plain,
op(e3,e2) = e4,
i_0_18 ).
cnf(c_0_1087,plain,
op(e3,e3) = e2,
i_0_17 ).
cnf(c_0_1088,plain,
( epred9_0
| ~ epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1080,c_0_1081]),c_0_1082])]) ).
cnf(c_0_1089,plain,
epred8_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1083,c_0_1084])]) ).
cnf(c_0_1090,plain,
( epred11_0
| op(e3,e4) != e1
| op(e4,e0) != e2
| ~ epred10_0 ),
i_0_304 ).
cnf(c_0_1091,plain,
op(e4,e0) = e2,
i_0_15 ).
cnf(c_0_1092,plain,
op(e3,e4) = e1,
i_0_16 ).
cnf(c_0_1093,plain,
( epred10_0
| ~ epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1085,c_0_1086]),c_0_1087])]) ).
cnf(c_0_1094,plain,
epred9_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1088,c_0_1089])]) ).
cnf(c_0_1095,plain,
( epred12_0
| op(e4,e1) != e3
| op(e4,e2) != e1
| ~ epred11_0 ),
i_0_320 ).
cnf(c_0_1096,plain,
op(e4,e1) = e3,
i_0_14 ).
cnf(c_0_1097,plain,
op(e4,e2) = e1,
i_0_13 ).
cnf(c_0_1098,plain,
( epred11_0
| ~ epred10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1090,c_0_1091]),c_0_1092])]) ).
cnf(c_0_1099,plain,
epred10_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1093,c_0_1094])]) ).
cnf(c_0_1100,plain,
( epred13_0
| op(e4,e3) != e4
| op(e4,e4) != e0
| ~ epred12_0 ),
i_0_341 ).
cnf(c_0_1101,plain,
op(e4,e4) = e0,
i_0_11 ).
cnf(c_0_1102,plain,
op(e4,e3) = e4,
i_0_12 ).
cnf(c_0_1103,plain,
( epred12_0
| ~ epred11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1095,c_0_1096]),c_0_1097])]) ).
cnf(c_0_1104,plain,
epred11_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1098,c_0_1099])]) ).
cnf(c_0_1105,plain,
( epred14_0
| op(e0,e2) != e0
| op(e1,e0) != e0
| ~ epred13_0 ),
i_0_375 ).
cnf(c_0_1106,plain,
( epred13_0
| ~ epred12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1100,c_0_1101]),c_0_1102])]) ).
cnf(c_0_1107,plain,
epred12_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1103,c_0_1104])]) ).
cnf(c_0_1108,plain,
( epred15_0
| op(e0,e3) != e1
| op(e2,e0) != e1
| ~ epred14_0 ),
i_0_394 ).
cnf(c_0_1109,plain,
( epred14_0
| ~ epred13_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1105,c_0_1042]),c_0_1056])]) ).
cnf(c_0_1110,plain,
epred13_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1106,c_0_1107])]) ).
cnf(c_0_1111,plain,
( epred16_0
| op(e0,e1) != e2
| op(e4,e0) != e2
| ~ epred15_0 ),
i_0_427 ).
cnf(c_0_1112,plain,
( epred15_0
| ~ epred14_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1108,c_0_1046]),c_0_1067])]) ).
cnf(c_0_1113,plain,
epred14_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1109,c_0_1110])]) ).
cnf(c_0_1114,plain,
( epred17_0
| op(e0,e4) != e3
| op(e3,e0) != e3
| ~ epred16_0 ),
i_0_438 ).
cnf(c_0_1115,plain,
( epred16_0
| ~ epred15_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1111,c_0_1041]),c_0_1091])]) ).
cnf(c_0_1116,plain,
epred15_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1112,c_0_1113])]) ).
cnf(c_0_1117,plain,
( epred18_0
| op(e0,e0) != e4
| ~ epred17_0 ),
i_0_486 ).
cnf(c_0_1118,plain,
( epred17_0
| ~ epred16_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1114,c_0_1045]),c_0_1081])]) ).
cnf(c_0_1119,plain,
epred16_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1115,c_0_1116])]) ).
cnf(c_0_1120,plain,
( epred19_0
| op(e1,e0) != e0
| op(e3,e1) != e0
| ~ epred18_0 ),
i_0_508 ).
cnf(c_0_1121,plain,
( epred18_0
| ~ epred17_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1117,c_0_1044])]) ).
cnf(c_0_1122,plain,
epred17_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1118,c_0_1119])]) ).
cnf(c_0_1123,plain,
( epred20_0
| op(e1,e1) != e1
| ~ epred19_0 ),
i_0_530 ).
cnf(c_0_1124,plain,
( epred19_0
| ~ epred18_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1120,c_0_1056]),c_0_1082])]) ).
cnf(c_0_1125,plain,
epred18_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1121,c_0_1122])]) ).
cnf(c_0_1126,plain,
( epred21_0
| op(e0,e1) != e2
| op(e1,e2) != e2
| ~ epred20_0 ),
i_0_551 ).
cnf(c_0_1127,plain,
( epred20_0
| ~ epred19_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1123,c_0_1057])]) ).
cnf(c_0_1128,plain,
epred19_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1124,c_0_1125])]) ).
cnf(c_0_1129,plain,
( epred22_0
| op(e1,e3) != e3
| op(e4,e1) != e3
| ~ epred21_0 ),
i_0_567 ).
cnf(c_0_1130,plain,
( epred21_0
| ~ epred20_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1126,c_0_1041]),c_0_1061])]) ).
cnf(c_0_1131,plain,
epred20_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1127,c_0_1128])]) ).
cnf(c_0_1132,plain,
( epred23_0
| op(e1,e4) != e4
| op(e2,e1) != e4
| ~ epred22_0 ),
i_0_589 ).
cnf(c_0_1133,plain,
( epred22_0
| ~ epred21_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1129,c_0_1096]),c_0_1062])]) ).
cnf(c_0_1134,plain,
epred21_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1130,c_0_1131])]) ).
cnf(c_0_1135,plain,
( epred24_0
| op(e0,e2) != e0
| op(e2,e3) != e0
| ~ epred23_0 ),
i_0_621 ).
cnf(c_0_1136,plain,
( epred23_0
| ~ epred22_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1132,c_0_1066]),c_0_1071])]) ).
cnf(c_0_1137,plain,
epred22_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1133,c_0_1134])]) ).
cnf(c_0_1138,plain,
( epred25_0
| op(e2,e0) != e1
| op(e4,e2) != e1
| ~ epred24_0 ),
i_0_657 ).
cnf(c_0_1139,plain,
( epred24_0
| ~ epred23_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1135,c_0_1042]),c_0_1077])]) ).
cnf(c_0_1140,plain,
epred23_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1136,c_0_1137])]) ).
cnf(c_0_1141,plain,
( epred26_0
| op(e1,e2) != e2
| op(e2,e4) != e2
| ~ epred25_0 ),
i_0_665 ).
cnf(c_0_1142,plain,
( epred25_0
| ~ epred24_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1138,c_0_1097]),c_0_1067])]) ).
cnf(c_0_1143,plain,
epred24_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1139,c_0_1140])]) ).
cnf(c_0_1144,negated_conjecture,
( op(op(e0,e0),op(e0,e0)) != e0
| op(op(e0,e1),op(e1,e0)) != e1
| op(op(e0,e2),op(e2,e0)) != e2
| op(op(e0,e3),op(e3,e0)) != e3
| op(op(e0,e4),op(e4,e0)) != e4
| op(op(e1,e0),op(e0,e1)) != e0
| op(op(e1,e1),op(e1,e1)) != e1
| op(op(e1,e2),op(e2,e1)) != e2
| op(op(e1,e3),op(e3,e1)) != e3
| op(op(e1,e4),op(e4,e1)) != e4
| op(op(e2,e0),op(e0,e2)) != e0
| op(op(e2,e1),op(e1,e2)) != e1
| op(op(e2,e2),op(e2,e2)) != e2
| op(op(e2,e3),op(e3,e2)) != e3
| op(op(e2,e4),op(e4,e2)) != e4
| op(op(e3,e0),op(e0,e3)) != e0
| op(op(e3,e1),op(e1,e3)) != e1
| op(op(e3,e2),op(e2,e3)) != e2
| op(op(e3,e3),op(e3,e3)) != e3
| op(op(e3,e4),op(e4,e3)) != e4
| op(op(e4,e0),op(e0,e4)) != e0
| op(op(e4,e1),op(e1,e4)) != e1
| op(op(e4,e2),op(e2,e4)) != e2
| op(op(e4,e3),op(e3,e4)) != e3
| op(op(e4,e4),op(e4,e4)) != e4
| ~ epred38_0 ),
i_0_36 ).
cnf(c_0_1145,plain,
( epred27_0
| op(e2,e2) != e3
| ~ epred26_0 ),
i_0_699 ).
cnf(c_0_1146,plain,
( epred26_0
| ~ epred25_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1141,c_0_1061]),c_0_1076])]) ).
cnf(c_0_1147,plain,
epred25_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1142,c_0_1143])]) ).
cnf(c_0_1148,negated_conjecture,
( op(op(e4,e4),op(e4,e4)) != e4
| op(op(e4,e1),op(e1,e4)) != e1
| op(op(e4,e2),op(e2,e4)) != e2
| op(op(e4,e3),op(e3,e4)) != e3
| op(op(e1,e4),op(e4,e1)) != e4
| op(op(e1,e1),op(e1,e1)) != e1
| op(op(e1,e2),op(e2,e1)) != e2
| op(op(e1,e3),op(e3,e1)) != e3
| op(op(e2,e4),op(e4,e2)) != e4
| op(op(e2,e1),op(e1,e2)) != e1
| op(op(e2,e2),op(e2,e2)) != e2
| op(op(e2,e3),op(e3,e2)) != e3
| op(op(e3,e4),op(e4,e3)) != e4
| op(op(e3,e1),op(e1,e3)) != e1
| op(op(e3,e2),op(e2,e3)) != e2
| op(op(e3,e3),op(e3,e3)) != e3
| op(e3,op(e4,e0)) != e4
| op(e2,op(e1,e0)) != e1
| op(e0,op(e2,e0)) != e2
| op(e1,op(e3,e0)) != e3
| op(op(e4,e0),e3) != e0
| op(op(e1,e0),e2) != e0
| op(op(e2,e0),e0) != e0
| op(op(e3,e0),e1) != e0
| op(e4,e4) != e0
| ~ epred38_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1144,c_0_1044]),c_0_1044]),c_0_1045]),c_0_1041]),c_0_1042]),c_0_1046]),c_0_1045]),c_0_1041]),c_0_1042]),c_0_1046]) ).
cnf(c_0_1149,plain,
( epred28_0
| op(e2,e1) != e4
| op(e3,e2) != e4
| ~ epred27_0 ),
i_0_728 ).
cnf(c_0_1150,plain,
( epred27_0
| ~ epred26_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1145,c_0_1072])]) ).
cnf(c_0_1151,plain,
epred26_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1146,c_0_1147])]) ).
cnf(c_0_1152,negated_conjecture,
( op(op(e4,e4),op(e4,e4)) != e4
| op(op(e4,e1),op(e1,e4)) != e1
| op(op(e4,e2),op(e2,e4)) != e2
| op(op(e4,e3),op(e3,e4)) != e3
| op(op(e1,e4),op(e4,e1)) != e4
| op(op(e1,e1),op(e1,e1)) != e1
| op(op(e1,e2),op(e2,e1)) != e2
| op(op(e1,e3),op(e3,e1)) != e3
| op(op(e2,e4),op(e4,e2)) != e4
| op(op(e2,e1),op(e1,e2)) != e1
| op(op(e2,e2),op(e2,e2)) != e2
| op(op(e2,e3),op(e3,e2)) != e3
| op(op(e3,e4),op(e4,e3)) != e4
| op(op(e3,e1),op(e1,e3)) != e1
| op(op(e3,e2),op(e2,e3)) != e2
| op(op(e3,e3),op(e3,e3)) != e3
| op(e2,op(e1,e0)) != e1
| op(e0,op(e2,e0)) != e2
| op(e1,op(e3,e0)) != e3
| op(op(e1,e0),e2) != e0
| op(op(e2,e0),e0) != e0
| op(op(e3,e0),e1) != e0
| op(e3,e2) != e4
| op(e2,e3) != e0
| op(e4,e4) != e0
| ~ epred38_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1148,c_0_1091]),c_0_1091]) ).
cnf(c_0_1153,plain,
( epred29_0
| op(e2,e3) != e0
| op(e3,e1) != e0
| ~ epred28_0 ),
i_0_754 ).
cnf(c_0_1154,plain,
( epred28_0
| ~ epred27_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1149,c_0_1071]),c_0_1086])]) ).
cnf(c_0_1155,plain,
epred27_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1150,c_0_1151])]) ).
cnf(c_0_1156,negated_conjecture,
( op(op(e4,e1),op(e1,e4)) != e1
| op(op(e4,e2),op(e2,e4)) != e2
| op(op(e4,e3),op(e3,e4)) != e3
| op(op(e1,e4),op(e4,e1)) != e4
| op(op(e1,e1),op(e1,e1)) != e1
| op(op(e1,e2),op(e2,e1)) != e2
| op(op(e1,e3),op(e3,e1)) != e3
| op(op(e2,e4),op(e4,e2)) != e4
| op(op(e2,e1),op(e1,e2)) != e1
| op(op(e2,e2),op(e2,e2)) != e2
| op(op(e2,e3),op(e3,e2)) != e3
| op(op(e3,e4),op(e4,e3)) != e4
| op(op(e3,e1),op(e1,e3)) != e1
| op(op(e3,e2),op(e2,e3)) != e2
| op(op(e3,e3),op(e3,e3)) != e3
| op(e2,op(e1,e0)) != e1
| op(e0,op(e2,e0)) != e2
| op(e1,op(e3,e0)) != e3
| op(op(e1,e0),e2) != e0
| op(op(e2,e0),e0) != e0
| op(op(e3,e0),e1) != e0
| op(e3,e2) != e4
| op(e2,e3) != e0
| ~ epred38_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1152,c_0_1101]),c_0_1101]),c_0_1044]),c_0_1101])]) ).
cnf(c_0_1157,plain,
( epred30_0
| op(e0,e3) != e1
| op(e3,e4) != e1
| ~ epred29_0 ),
i_0_766 ).
cnf(c_0_1158,plain,
( epred29_0
| ~ epred28_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1153,c_0_1077]),c_0_1082])]) ).
cnf(c_0_1159,plain,
epred28_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1154,c_0_1155])]) ).
cnf(c_0_1160,negated_conjecture,
( op(op(e4,e2),op(e2,e4)) != e2
| op(op(e4,e3),op(e3,e4)) != e3
| op(op(e1,e1),op(e1,e1)) != e1
| op(op(e1,e2),op(e2,e1)) != e2
| op(op(e1,e3),op(e3,e1)) != e3
| op(op(e2,e4),op(e4,e2)) != e4
| op(op(e2,e1),op(e1,e2)) != e1
| op(op(e2,e2),op(e2,e2)) != e2
| op(op(e2,e3),op(e3,e2)) != e3
| op(op(e3,e4),op(e4,e3)) != e4
| op(op(e3,e1),op(e1,e3)) != e1
| op(op(e3,e2),op(e2,e3)) != e2
| op(op(e3,e3),op(e3,e3)) != e3
| op(e3,op(e1,e4)) != e1
| op(op(e1,e4),e3) != e4
| op(e2,op(e1,e0)) != e1
| op(e0,op(e2,e0)) != e2
| op(e1,op(e3,e0)) != e3
| op(op(e1,e0),e2) != e0
| op(op(e2,e0),e0) != e0
| op(op(e3,e0),e1) != e0
| op(e3,e2) != e4
| op(e2,e3) != e0
| ~ epred38_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1156,c_0_1096]),c_0_1096]) ).
cnf(c_0_1161,plain,
( epred31_0
| op(e3,e3) != e2
| ~ epred30_0 ),
i_0_793 ).
cnf(c_0_1162,plain,
( epred30_0
| ~ epred29_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1157,c_0_1046]),c_0_1092])]) ).
cnf(c_0_1163,plain,
epred29_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1158,c_0_1159])]) ).
cnf(c_0_1164,negated_conjecture,
( op(op(e4,e3),op(e3,e4)) != e3
| op(op(e1,e1),op(e1,e1)) != e1
| op(op(e1,e2),op(e2,e1)) != e2
| op(op(e1,e3),op(e3,e1)) != e3
| op(op(e2,e1),op(e1,e2)) != e1
| op(op(e2,e2),op(e2,e2)) != e2
| op(op(e2,e3),op(e3,e2)) != e3
| op(op(e3,e4),op(e4,e3)) != e4
| op(op(e3,e1),op(e1,e3)) != e1
| op(op(e3,e2),op(e2,e3)) != e2
| op(op(e3,e3),op(e3,e3)) != e3
| op(e1,op(e2,e4)) != e2
| op(op(e2,e4),e1) != e4
| op(e3,op(e1,e4)) != e1
| op(op(e1,e4),e3) != e4
| op(e2,op(e1,e0)) != e1
| op(e0,op(e2,e0)) != e2
| op(e1,op(e3,e0)) != e3
| op(op(e1,e0),e2) != e0
| op(op(e2,e0),e0) != e0
| op(op(e3,e0),e1) != e0
| op(e3,e2) != e4
| op(e2,e3) != e0
| ~ epred38_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1160,c_0_1097]),c_0_1097]) ).
cnf(c_0_1165,plain,
( epred32_0
| op(e1,e3) != e3
| op(e3,e0) != e3
| ~ epred31_0 ),
i_0_835 ).
cnf(c_0_1166,plain,
( epred31_0
| ~ epred30_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1161,c_0_1087])]) ).
cnf(c_0_1167,plain,
epred30_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1162,c_0_1163])]) ).
cnf(c_0_1168,negated_conjecture,
( op(op(e2,e2),op(e2,e2)) != e2
| op(op(e2,e3),op(e3,e2)) != e3
| op(op(e3,e2),op(e2,e3)) != e2
| op(op(e3,e3),op(e3,e3)) != e3
| op(e4,op(e3,e4)) != e3
| op(e2,op(e2,e1)) != e2
| op(e3,op(e3,e1)) != e3
| op(op(e2,e1),e2) != e1
| op(op(e3,e4),e4) != e4
| op(op(e3,e1),e3) != e1
| op(e1,op(e2,e4)) != e2
| op(op(e2,e4),e1) != e4
| op(e0,op(e2,e0)) != e2
| op(e1,op(e3,e0)) != e3
| op(op(e2,e0),e0) != e0
| op(op(e3,e0),e1) != e0
| op(e3,e4) != e1
| op(e2,e0) != e1
| op(e3,e2) != e4
| op(e2,e3) != e0
| ~ epred38_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1164,c_0_1102]),c_0_1102]),c_0_1057]),c_0_1057]),c_0_1057]),c_0_1061]),c_0_1062]),c_0_1061]),c_0_1062]),c_0_1066]),c_0_1066]),c_0_1102]),c_0_1056]),c_0_1056]),c_0_1042])]) ).
cnf(c_0_1169,plain,
( epred33_0
| op(e3,e2) != e4
| op(e4,e3) != e4
| ~ epred32_0 ),
i_0_847 ).
cnf(c_0_1170,plain,
( epred32_0
| ~ epred31_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1165,c_0_1062]),c_0_1081])]) ).
cnf(c_0_1171,plain,
epred31_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1166,c_0_1167])]) ).
cnf(c_0_1172,negated_conjecture,
( op(op(e2,e2),op(e2,e2)) != e2
| op(op(e2,e3),op(e3,e2)) != e3
| op(op(e3,e2),op(e2,e3)) != e2
| op(op(e3,e3),op(e3,e3)) != e3
| op(e4,op(e3,e4)) != e3
| op(e2,op(e2,e1)) != e2
| op(e3,op(e3,e1)) != e3
| op(op(e2,e1),e2) != e1
| op(op(e3,e4),e4) != e4
| op(op(e3,e1),e3) != e1
| op(e1,op(e2,e4)) != e2
| op(op(e2,e4),e1) != e4
| op(e1,op(e3,e0)) != e3
| op(op(e3,e0),e1) != e0
| op(e3,e4) != e1
| op(e3,e2) != e4
| op(e2,e3) != e0
| ~ epred38_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1168,c_0_1067]),c_0_1041]),c_0_1067]),c_0_1056]),c_0_1067])]) ).
cnf(c_0_1173,plain,
( epred34_0
| op(e4,e4) != e0
| ~ epred33_0 ),
i_0_862 ).
cnf(c_0_1174,plain,
( epred33_0
| ~ epred32_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1169,c_0_1102]),c_0_1086])]) ).
cnf(c_0_1175,plain,
epred32_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1170,c_0_1171])]) ).
cnf(c_0_1176,negated_conjecture,
( op(op(e2,e2),op(e2,e2)) != e2
| op(op(e2,e3),op(e3,e2)) != e3
| op(op(e3,e2),op(e2,e3)) != e2
| op(op(e3,e3),op(e3,e3)) != e3
| op(e4,op(e3,e4)) != e3
| op(e2,op(e2,e1)) != e2
| op(e3,op(e3,e1)) != e3
| op(op(e2,e1),e2) != e1
| op(op(e3,e4),e4) != e4
| op(op(e3,e1),e3) != e1
| op(e1,op(e3,e0)) != e3
| op(op(e3,e0),e1) != e0
| op(e2,e1) != e4
| op(e3,e4) != e1
| op(e3,e2) != e4
| op(e2,e3) != e0
| ~ epred38_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1172,c_0_1076]),c_0_1061]),c_0_1076])]) ).
cnf(c_0_1177,plain,
( epred35_0
| op(e3,e4) != e1
| op(e4,e2) != e1
| ~ epred34_0 ),
i_0_898 ).
cnf(c_0_1178,plain,
( epred34_0
| ~ epred33_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1173,c_0_1101])]) ).
cnf(c_0_1179,plain,
epred33_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1174,c_0_1175])]) ).
cnf(c_0_1180,negated_conjecture,
( op(op(e2,e2),op(e2,e2)) != e2
| op(op(e2,e3),op(e3,e2)) != e3
| op(op(e3,e2),op(e2,e3)) != e2
| op(op(e3,e3),op(e3,e3)) != e3
| op(e4,op(e3,e4)) != e3
| op(e3,op(e3,e1)) != e3
| op(op(e3,e4),e4) != e4
| op(op(e3,e1),e3) != e1
| op(e1,op(e3,e0)) != e3
| op(op(e3,e0),e1) != e0
| op(e3,e4) != e1
| op(e3,e2) != e4
| op(e2,e3) != e0
| ~ epred38_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1176,c_0_1071]),c_0_1076]),c_0_1071]),c_0_1097]),c_0_1071])]) ).
cnf(c_0_1181,plain,
( epred36_0
| op(e2,e4) != e2
| op(e4,e0) != e2
| ~ epred35_0 ),
i_0_934 ).
cnf(c_0_1182,plain,
( epred35_0
| ~ epred34_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1177,c_0_1097]),c_0_1092])]) ).
cnf(c_0_1183,plain,
epred34_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1178,c_0_1179])]) ).
cnf(c_0_1184,negated_conjecture,
( op(op(e2,e3),op(e3,e2)) != e3
| op(op(e3,e2),op(e2,e3)) != e2
| op(op(e3,e3),op(e3,e3)) != e3
| op(e4,op(e3,e4)) != e3
| op(e3,op(e3,e1)) != e3
| op(op(e3,e4),e4) != e4
| op(op(e3,e1),e3) != e1
| op(e1,op(e3,e0)) != e3
| op(op(e3,e0),e1) != e0
| op(e3,e3) != e2
| op(e3,e4) != e1
| op(e3,e2) != e4
| op(e2,e3) != e0
| ~ epred38_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1180,c_0_1072]),c_0_1072]) ).
cnf(c_0_1185,plain,
( epred37_0
| op(e0,e4) != e3
| op(e4,e1) != e3
| ~ epred36_0 ),
i_0_956 ).
cnf(c_0_1186,plain,
( epred36_0
| ~ epred35_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1181,c_0_1091]),c_0_1076])]) ).
cnf(c_0_1187,plain,
epred35_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1182,c_0_1183])]) ).
cnf(c_0_1188,plain,
( epred38_0
| op(e1,e4) != e4
| op(e4,e3) != e4
| ~ epred37_0 ),
i_0_970 ).
cnf(c_0_1189,negated_conjecture,
~ epred38_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1184,c_0_1077]),c_0_1077]),c_0_1077])]),c_0_1086]),c_0_1045]),c_0_1086]),c_0_1091]),c_0_1087]),c_0_1087]),c_0_1072]),c_0_1092]),c_0_1096]),c_0_1082]),c_0_1081]),c_0_1092]),c_0_1066]),c_0_1082]),c_0_1046]),c_0_1081]),c_0_1062]),c_0_1081]),c_0_1082]),c_0_1087]),c_0_1092]),c_0_1086])]) ).
cnf(c_0_1190,plain,
( epred37_0
| ~ epred36_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1185,c_0_1045]),c_0_1096])]) ).
cnf(c_0_1191,plain,
epred36_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1186,c_0_1187])]) ).
cnf(c_0_1192,plain,
~ epred37_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1188,c_0_1102]),c_0_1066])]),c_0_1189]) ).
cnf(c_0_1193,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1190,c_0_1191])]),c_0_1192]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG187+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n025.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jun 8 07:31:06 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 7.72/2.46 # ENIGMATIC: Solved by autoschedule:
% 7.72/2.46 # No SInE strategy applied
% 7.72/2.46 # Trying AutoSched0 for 150 seconds
% 7.72/2.46 # AutoSched0-Mode selected heuristic H_____047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S
% 7.72/2.46 # and selection function SelectNewComplexAHP.
% 7.72/2.46 #
% 7.72/2.46 # Preprocessing time : 0.042 s
% 7.72/2.46 # Presaturation interreduction done
% 7.72/2.46
% 7.72/2.46 # Proof found!
% 7.72/2.46 # SZS status Theorem
% 7.72/2.46 # SZS output start CNFRefutation
% See solution above
% 7.72/2.46 # Training examples: 0 positive, 0 negative
% 7.72/2.46
% 7.72/2.46 # -------------------------------------------------
% 7.72/2.46 # User time : 0.057 s
% 7.72/2.46 # System time : 0.008 s
% 7.72/2.46 # Total time : 0.065 s
% 7.72/2.46 # Maximum resident set size: 7116 pages
% 7.72/2.46
%------------------------------------------------------------------------------