TSTP Solution File: ALG094+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG094+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 14:51:41 EDT 2022
% Result : Theorem 7.98s 2.66s
% Output : CNFRefutation 7.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 66
% Syntax : Number of clauses : 193 ( 93 unt; 2 nHn; 193 RR)
% Number of literals : 457 ( 222 equ; 269 neg)
% Maximal clause size : 14 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 40 ( 38 usr; 39 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_79,plain,
( op(e1,e2) = e1
| epred1_0
| op(e1,e1) != e2
| op(e2,e2) != e1 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_79) ).
cnf(i_0_28,plain,
op(e1,e2) = e3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_28) ).
cnf(i_0_29,plain,
op(e1,e1) = e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_29) ).
cnf(i_0_23,plain,
op(e2,e2) = e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_23) ).
cnf(i_0_5,plain,
e3 != e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_5) ).
cnf(i_0_110,plain,
( epred2_0
| op(e0,e0) != e0
| op(e0,e1) != e1
| ~ epred1_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_110) ).
cnf(i_0_35,plain,
op(e0,e0) = e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_35) ).
cnf(i_0_34,plain,
op(e0,e1) = e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_34) ).
cnf(i_0_123,plain,
( epred3_0
| op(e0,e2) != e2
| op(e0,e3) != e3
| ~ epred2_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_123) ).
cnf(i_0_33,plain,
op(e0,e2) = e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_33) ).
cnf(i_0_32,plain,
op(e0,e3) = e3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_32) ).
cnf(i_0_140,plain,
( epred4_0
| op(e0,e4) != e4
| op(e1,e0) != e1
| ~ epred3_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_140) ).
cnf(i_0_31,plain,
op(e0,e4) = e4,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_31) ).
cnf(i_0_30,plain,
op(e1,e0) = e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_30) ).
cnf(i_0_173,plain,
( epred5_0
| op(e1,e1) != e2
| op(e1,e2) != e3
| ~ epred4_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_173) ).
cnf(i_0_191,plain,
( epred6_0
| op(e1,e3) != e4
| op(e1,e4) != e0
| ~ epred5_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_191) ).
cnf(i_0_27,plain,
op(e1,e3) = e4,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_27) ).
cnf(i_0_26,plain,
op(e1,e4) = e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_26) ).
cnf(i_0_222,plain,
( epred7_0
| op(e2,e0) != e2
| op(e2,e1) != e4
| ~ epred6_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_222) ).
cnf(i_0_25,plain,
op(e2,e0) = e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_25) ).
cnf(i_0_24,plain,
op(e2,e1) = e4,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_24) ).
cnf(i_0_256,plain,
( epred8_0
| op(e2,e2) != e1
| op(e2,e3) != e0
| ~ epred7_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_256) ).
cnf(i_0_22,plain,
op(e2,e3) = e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_22) ).
cnf(i_0_268,plain,
( epred9_0
| op(e2,e4) != e3
| op(e3,e0) != e3
| ~ epred8_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_268) ).
cnf(i_0_21,plain,
op(e2,e4) = e3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_21) ).
cnf(i_0_20,plain,
op(e3,e0) = e3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_20) ).
cnf(i_0_307,plain,
( epred10_0
| op(e3,e1) != e0
| op(e3,e2) != e4
| ~ epred9_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_307) ).
cnf(i_0_19,plain,
op(e3,e1) = e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_19) ).
cnf(i_0_18,plain,
op(e3,e2) = e4,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_18) ).
cnf(i_0_329,plain,
( epred11_0
| op(e3,e3) != e1
| op(e3,e4) != e2
| ~ epred10_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_329) ).
cnf(i_0_17,plain,
op(e3,e3) = e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_17) ).
cnf(i_0_16,plain,
op(e3,e4) = e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_16) ).
cnf(i_0_338,plain,
( epred12_0
| op(e4,e0) != e4
| op(e4,e1) != e3
| ~ epred11_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_338) ).
cnf(i_0_15,plain,
op(e4,e0) = e4,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_15) ).
cnf(i_0_14,plain,
op(e4,e1) = e3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_14) ).
cnf(i_0_384,plain,
( epred13_0
| op(e4,e2) != e0
| op(e4,e3) != e2
| ~ epred12_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_384) ).
cnf(i_0_13,plain,
op(e4,e2) = e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_13) ).
cnf(i_0_12,plain,
op(e4,e3) = e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_12) ).
cnf(i_0_436,plain,
( epred15_0
| op(e0,e0) != e0
| ~ epred14_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_436) ).
cnf(i_0_406,plain,
( epred14_0
| unit != e0
| op(e0,unit) != e0
| op(e1,unit) != e1
| op(e2,unit) != e2
| op(e3,unit) != e3
| op(e4,e4) != e1
| op(e4,unit) != e4
| op(unit,e0) != e0
| op(unit,e1) != e1
| op(unit,e2) != e2
| op(unit,e3) != e3
| op(unit,e4) != e4
| ~ epred13_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_406) ).
cnf(i_0_36,plain,
unit = e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_36) ).
cnf(i_0_11,plain,
op(e4,e4) = e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_11) ).
cnf(i_0_455,plain,
( epred16_0
| op(e0,e1) != e1
| op(e1,e0) != e1
| ~ epred15_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_455) ).
cnf(i_0_474,plain,
( epred17_0
| op(e0,e2) != e2
| op(e2,e0) != e2
| ~ epred16_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_474) ).
cnf(i_0_493,plain,
( epred18_0
| op(e0,e3) != e3
| op(e3,e0) != e3
| ~ epred17_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_493) ).
cnf(i_0_512,plain,
( epred19_0
| op(e0,e4) != e4
| op(e4,e0) != e4
| ~ epred18_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_512) ).
cnf(i_0_538,plain,
( epred20_0
| op(e1,e4) != e0
| op(e3,e1) != e0
| ~ epred19_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_538) ).
cnf(i_0_586,plain,
( epred21_0
| op(e0,e1) != e1
| op(e1,e0) != e1
| ~ epred20_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_586) ).
cnf(i_0_605,plain,
( epred22_0
| op(e1,e1) != e2
| ~ epred21_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_605) ).
cnf(i_0_622,plain,
( epred23_0
| op(e1,e2) != e3
| op(e4,e1) != e3
| ~ epred22_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_622) ).
cnf(i_0_644,plain,
( epred24_0
| op(e1,e3) != e4
| op(e2,e1) != e4
| ~ epred23_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_644) ).
cnf(i_0_667,plain,
( epred25_0
| op(e2,e3) != e0
| op(e4,e2) != e0
| ~ epred24_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_667) ).
cnf(i_0_699,plain,
( epred26_0
| op(e2,e2) != e1
| ~ epred25_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_699) ).
cnf(i_0_736,plain,
( epred27_0
| op(e0,e2) != e2
| op(e2,e0) != e2
| ~ epred26_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_736) ).
cnf(i_0_740,plain,
( epred28_0
| op(e1,e2) != e3
| op(e2,e4) != e3
| ~ epred27_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_740) ).
cnf(i_0_778,plain,
( epred29_0
| op(e2,e1) != e4
| op(e3,e2) != e4
| ~ epred28_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_778) ).
cnf(i_0_804,plain,
( epred30_0
| op(e2,e3) != e0
| op(e3,e1) != e0
| ~ epred29_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_804) ).
cnf(i_0_818,plain,
( epred31_0
| op(e3,e3) != e1
| ~ epred30_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_818) ).
cnf(i_0_837,plain,
( epred32_0
| op(e3,e4) != e2
| op(e4,e3) != e2
| ~ epred31_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_837) ).
cnf(i_0_886,plain,
( epred33_0
| op(e0,e3) != e3
| op(e3,e0) != e3
| ~ epred32_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_886) ).
cnf(i_0_900,plain,
( epred34_0
| op(e1,e3) != e4
| op(e3,e2) != e4
| ~ epred33_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_900) ).
cnf(i_0_61,negated_conjecture,
( op(e0,e4) != e4
| op(e4,e0) != e4
| ~ epred38_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_61) ).
cnf(i_0_925,plain,
( epred35_0
| op(e1,e4) != e0
| op(e4,e2) != e0
| ~ epred34_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_925) ).
cnf(i_0_1004,plain,
( epred38_0
| op(e2,e4) != e3
| op(e4,e1) != e3
| ~ epred37_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_1004) ).
cnf(i_0_937,plain,
( epred36_0
| op(e4,e4) != e1
| ~ epred35_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_937) ).
cnf(i_0_968,plain,
( epred37_0
| op(e3,e4) != e2
| op(e4,e3) != e2
| ~ epred36_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8f766v20/input.p',i_0_968) ).
cnf(c_0_1071,plain,
( op(e1,e2) = e1
| epred1_0
| op(e1,e1) != e2
| op(e2,e2) != e1 ),
i_0_79 ).
cnf(c_0_1072,plain,
op(e1,e2) = e3,
i_0_28 ).
cnf(c_0_1073,plain,
op(e1,e1) = e2,
i_0_29 ).
cnf(c_0_1074,plain,
op(e2,e2) = e1,
i_0_23 ).
cnf(c_0_1075,plain,
e3 != e1,
i_0_5 ).
cnf(c_0_1076,plain,
( epred2_0
| op(e0,e0) != e0
| op(e0,e1) != e1
| ~ epred1_0 ),
i_0_110 ).
cnf(c_0_1077,plain,
op(e0,e0) = e0,
i_0_35 ).
cnf(c_0_1078,plain,
op(e0,e1) = e1,
i_0_34 ).
cnf(c_0_1079,plain,
epred1_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1071,c_0_1072]),c_0_1073]),c_0_1074])]),c_0_1075]) ).
cnf(c_0_1080,plain,
( epred3_0
| op(e0,e2) != e2
| op(e0,e3) != e3
| ~ epred2_0 ),
i_0_123 ).
cnf(c_0_1081,plain,
op(e0,e2) = e2,
i_0_33 ).
cnf(c_0_1082,plain,
op(e0,e3) = e3,
i_0_32 ).
cnf(c_0_1083,plain,
epred2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1076,c_0_1077]),c_0_1078]),c_0_1079])]) ).
cnf(c_0_1084,plain,
( epred4_0
| op(e0,e4) != e4
| op(e1,e0) != e1
| ~ epred3_0 ),
i_0_140 ).
cnf(c_0_1085,plain,
op(e0,e4) = e4,
i_0_31 ).
cnf(c_0_1086,plain,
op(e1,e0) = e1,
i_0_30 ).
cnf(c_0_1087,plain,
epred3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1080,c_0_1081]),c_0_1082]),c_0_1083])]) ).
cnf(c_0_1088,plain,
( epred5_0
| op(e1,e1) != e2
| op(e1,e2) != e3
| ~ epred4_0 ),
i_0_173 ).
cnf(c_0_1089,plain,
epred4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1084,c_0_1085]),c_0_1086]),c_0_1087])]) ).
cnf(c_0_1090,plain,
( epred6_0
| op(e1,e3) != e4
| op(e1,e4) != e0
| ~ epred5_0 ),
i_0_191 ).
cnf(c_0_1091,plain,
op(e1,e3) = e4,
i_0_27 ).
cnf(c_0_1092,plain,
op(e1,e4) = e0,
i_0_26 ).
cnf(c_0_1093,plain,
epred5_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1088,c_0_1073]),c_0_1072]),c_0_1089])]) ).
cnf(c_0_1094,plain,
( epred7_0
| op(e2,e0) != e2
| op(e2,e1) != e4
| ~ epred6_0 ),
i_0_222 ).
cnf(c_0_1095,plain,
op(e2,e0) = e2,
i_0_25 ).
cnf(c_0_1096,plain,
op(e2,e1) = e4,
i_0_24 ).
cnf(c_0_1097,plain,
epred6_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1090,c_0_1091]),c_0_1092]),c_0_1093])]) ).
cnf(c_0_1098,plain,
( epred8_0
| op(e2,e2) != e1
| op(e2,e3) != e0
| ~ epred7_0 ),
i_0_256 ).
cnf(c_0_1099,plain,
op(e2,e3) = e0,
i_0_22 ).
cnf(c_0_1100,plain,
epred7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1094,c_0_1095]),c_0_1096]),c_0_1097])]) ).
cnf(c_0_1101,plain,
( epred9_0
| op(e2,e4) != e3
| op(e3,e0) != e3
| ~ epred8_0 ),
i_0_268 ).
cnf(c_0_1102,plain,
op(e2,e4) = e3,
i_0_21 ).
cnf(c_0_1103,plain,
op(e3,e0) = e3,
i_0_20 ).
cnf(c_0_1104,plain,
epred8_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1098,c_0_1074]),c_0_1099]),c_0_1100])]) ).
cnf(c_0_1105,plain,
( epred10_0
| op(e3,e1) != e0
| op(e3,e2) != e4
| ~ epred9_0 ),
i_0_307 ).
cnf(c_0_1106,plain,
op(e3,e1) = e0,
i_0_19 ).
cnf(c_0_1107,plain,
op(e3,e2) = e4,
i_0_18 ).
cnf(c_0_1108,plain,
epred9_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1101,c_0_1102]),c_0_1103]),c_0_1104])]) ).
cnf(c_0_1109,plain,
( epred11_0
| op(e3,e3) != e1
| op(e3,e4) != e2
| ~ epred10_0 ),
i_0_329 ).
cnf(c_0_1110,plain,
op(e3,e3) = e1,
i_0_17 ).
cnf(c_0_1111,plain,
op(e3,e4) = e2,
i_0_16 ).
cnf(c_0_1112,plain,
epred10_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1105,c_0_1106]),c_0_1107]),c_0_1108])]) ).
cnf(c_0_1113,plain,
( epred12_0
| op(e4,e0) != e4
| op(e4,e1) != e3
| ~ epred11_0 ),
i_0_338 ).
cnf(c_0_1114,plain,
op(e4,e0) = e4,
i_0_15 ).
cnf(c_0_1115,plain,
op(e4,e1) = e3,
i_0_14 ).
cnf(c_0_1116,plain,
epred11_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1109,c_0_1110]),c_0_1111]),c_0_1112])]) ).
cnf(c_0_1117,plain,
( epred13_0
| op(e4,e2) != e0
| op(e4,e3) != e2
| ~ epred12_0 ),
i_0_384 ).
cnf(c_0_1118,plain,
op(e4,e2) = e0,
i_0_13 ).
cnf(c_0_1119,plain,
op(e4,e3) = e2,
i_0_12 ).
cnf(c_0_1120,plain,
epred12_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1113,c_0_1114]),c_0_1115]),c_0_1116])]) ).
cnf(c_0_1121,plain,
( epred15_0
| op(e0,e0) != e0
| ~ epred14_0 ),
i_0_436 ).
cnf(c_0_1122,plain,
( epred14_0
| unit != e0
| op(e0,unit) != e0
| op(e1,unit) != e1
| op(e2,unit) != e2
| op(e3,unit) != e3
| op(e4,e4) != e1
| op(e4,unit) != e4
| op(unit,e0) != e0
| op(unit,e1) != e1
| op(unit,e2) != e2
| op(unit,e3) != e3
| op(unit,e4) != e4
| ~ epred13_0 ),
i_0_406 ).
cnf(c_0_1123,plain,
unit = e0,
i_0_36 ).
cnf(c_0_1124,plain,
op(e4,e4) = e1,
i_0_11 ).
cnf(c_0_1125,plain,
epred13_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1117,c_0_1118]),c_0_1119]),c_0_1120])]) ).
cnf(c_0_1126,plain,
( epred16_0
| op(e0,e1) != e1
| op(e1,e0) != e1
| ~ epred15_0 ),
i_0_455 ).
cnf(c_0_1127,plain,
( epred15_0
| ~ epred14_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1121,c_0_1077])]) ).
cnf(c_0_1128,plain,
epred14_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(rw,[status(thm)],[c_0_1122,c_0_1123]),c_0_1123]),c_0_1077]),c_0_1123]),c_0_1078]),c_0_1123]),c_0_1081]),c_0_1123]),c_0_1082]),c_0_1123]),c_0_1085]),c_0_1123]),c_0_1077]),c_0_1123]),c_0_1086]),c_0_1123]),c_0_1095]),c_0_1123]),c_0_1103]),c_0_1123]),c_0_1114]),c_0_1124]),c_0_1125])]) ).
cnf(c_0_1129,plain,
( epred17_0
| op(e0,e2) != e2
| op(e2,e0) != e2
| ~ epred16_0 ),
i_0_474 ).
cnf(c_0_1130,plain,
( epred16_0
| ~ epred15_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1126,c_0_1078]),c_0_1086])]) ).
cnf(c_0_1131,plain,
epred15_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1127,c_0_1128])]) ).
cnf(c_0_1132,plain,
( epred18_0
| op(e0,e3) != e3
| op(e3,e0) != e3
| ~ epred17_0 ),
i_0_493 ).
cnf(c_0_1133,plain,
( epred17_0
| ~ epred16_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1129,c_0_1081]),c_0_1095])]) ).
cnf(c_0_1134,plain,
epred16_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1130,c_0_1131])]) ).
cnf(c_0_1135,plain,
( epred19_0
| op(e0,e4) != e4
| op(e4,e0) != e4
| ~ epred18_0 ),
i_0_512 ).
cnf(c_0_1136,plain,
( epred18_0
| ~ epred17_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1132,c_0_1082]),c_0_1103])]) ).
cnf(c_0_1137,plain,
epred17_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1133,c_0_1134])]) ).
cnf(c_0_1138,plain,
( epred20_0
| op(e1,e4) != e0
| op(e3,e1) != e0
| ~ epred19_0 ),
i_0_538 ).
cnf(c_0_1139,plain,
( epred19_0
| ~ epred18_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1135,c_0_1085]),c_0_1114])]) ).
cnf(c_0_1140,plain,
epred18_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1136,c_0_1137])]) ).
cnf(c_0_1141,plain,
( epred21_0
| op(e0,e1) != e1
| op(e1,e0) != e1
| ~ epred20_0 ),
i_0_586 ).
cnf(c_0_1142,plain,
( epred20_0
| ~ epred19_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1138,c_0_1092]),c_0_1106])]) ).
cnf(c_0_1143,plain,
epred19_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1139,c_0_1140])]) ).
cnf(c_0_1144,plain,
( epred22_0
| op(e1,e1) != e2
| ~ epred21_0 ),
i_0_605 ).
cnf(c_0_1145,plain,
( epred21_0
| ~ epred20_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1141,c_0_1078]),c_0_1086])]) ).
cnf(c_0_1146,plain,
epred20_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1142,c_0_1143])]) ).
cnf(c_0_1147,plain,
( epred23_0
| op(e1,e2) != e3
| op(e4,e1) != e3
| ~ epred22_0 ),
i_0_622 ).
cnf(c_0_1148,plain,
( epred22_0
| ~ epred21_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1144,c_0_1073])]) ).
cnf(c_0_1149,plain,
epred21_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1145,c_0_1146])]) ).
cnf(c_0_1150,plain,
( epred24_0
| op(e1,e3) != e4
| op(e2,e1) != e4
| ~ epred23_0 ),
i_0_644 ).
cnf(c_0_1151,plain,
( epred23_0
| ~ epred22_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1147,c_0_1072]),c_0_1115])]) ).
cnf(c_0_1152,plain,
epred22_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1148,c_0_1149])]) ).
cnf(c_0_1153,plain,
( epred25_0
| op(e2,e3) != e0
| op(e4,e2) != e0
| ~ epred24_0 ),
i_0_667 ).
cnf(c_0_1154,plain,
( epred24_0
| ~ epred23_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1150,c_0_1091]),c_0_1096])]) ).
cnf(c_0_1155,plain,
epred23_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1151,c_0_1152])]) ).
cnf(c_0_1156,plain,
( epred26_0
| op(e2,e2) != e1
| ~ epred25_0 ),
i_0_699 ).
cnf(c_0_1157,plain,
( epred25_0
| ~ epred24_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1153,c_0_1099]),c_0_1118])]) ).
cnf(c_0_1158,plain,
epred24_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1154,c_0_1155])]) ).
cnf(c_0_1159,plain,
( epred27_0
| op(e0,e2) != e2
| op(e2,e0) != e2
| ~ epred26_0 ),
i_0_736 ).
cnf(c_0_1160,plain,
( epred26_0
| ~ epred25_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1156,c_0_1074])]) ).
cnf(c_0_1161,plain,
epred25_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1157,c_0_1158])]) ).
cnf(c_0_1162,plain,
( epred28_0
| op(e1,e2) != e3
| op(e2,e4) != e3
| ~ epred27_0 ),
i_0_740 ).
cnf(c_0_1163,plain,
( epred27_0
| ~ epred26_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1159,c_0_1081]),c_0_1095])]) ).
cnf(c_0_1164,plain,
epred26_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1160,c_0_1161])]) ).
cnf(c_0_1165,plain,
( epred29_0
| op(e2,e1) != e4
| op(e3,e2) != e4
| ~ epred28_0 ),
i_0_778 ).
cnf(c_0_1166,plain,
( epred28_0
| ~ epred27_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1162,c_0_1072]),c_0_1102])]) ).
cnf(c_0_1167,plain,
epred27_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1163,c_0_1164])]) ).
cnf(c_0_1168,plain,
( epred30_0
| op(e2,e3) != e0
| op(e3,e1) != e0
| ~ epred29_0 ),
i_0_804 ).
cnf(c_0_1169,plain,
( epred29_0
| ~ epred28_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1165,c_0_1096]),c_0_1107])]) ).
cnf(c_0_1170,plain,
epred28_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1166,c_0_1167])]) ).
cnf(c_0_1171,plain,
( epred31_0
| op(e3,e3) != e1
| ~ epred30_0 ),
i_0_818 ).
cnf(c_0_1172,plain,
( epred30_0
| ~ epred29_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1168,c_0_1099]),c_0_1106])]) ).
cnf(c_0_1173,plain,
epred29_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1169,c_0_1170])]) ).
cnf(c_0_1174,plain,
( epred32_0
| op(e3,e4) != e2
| op(e4,e3) != e2
| ~ epred31_0 ),
i_0_837 ).
cnf(c_0_1175,plain,
( epred31_0
| ~ epred30_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1171,c_0_1110])]) ).
cnf(c_0_1176,plain,
epred30_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1172,c_0_1173])]) ).
cnf(c_0_1177,plain,
( epred33_0
| op(e0,e3) != e3
| op(e3,e0) != e3
| ~ epred32_0 ),
i_0_886 ).
cnf(c_0_1178,plain,
( epred32_0
| ~ epred31_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1174,c_0_1111]),c_0_1119])]) ).
cnf(c_0_1179,plain,
epred31_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1175,c_0_1176])]) ).
cnf(c_0_1180,plain,
( epred34_0
| op(e1,e3) != e4
| op(e3,e2) != e4
| ~ epred33_0 ),
i_0_900 ).
cnf(c_0_1181,plain,
( epred33_0
| ~ epred32_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1177,c_0_1082]),c_0_1103])]) ).
cnf(c_0_1182,plain,
epred32_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1178,c_0_1179])]) ).
cnf(c_0_1183,negated_conjecture,
( op(e0,e4) != e4
| op(e4,e0) != e4
| ~ epred38_0 ),
i_0_61 ).
cnf(c_0_1184,plain,
( epred35_0
| op(e1,e4) != e0
| op(e4,e2) != e0
| ~ epred34_0 ),
i_0_925 ).
cnf(c_0_1185,plain,
( epred34_0
| ~ epred33_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1180,c_0_1091]),c_0_1107])]) ).
cnf(c_0_1186,plain,
epred33_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1181,c_0_1182])]) ).
cnf(c_0_1187,plain,
( epred38_0
| op(e2,e4) != e3
| op(e4,e1) != e3
| ~ epred37_0 ),
i_0_1004 ).
cnf(c_0_1188,negated_conjecture,
~ epred38_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1183,c_0_1085]),c_0_1114])]) ).
cnf(c_0_1189,plain,
( epred36_0
| op(e4,e4) != e1
| ~ epred35_0 ),
i_0_937 ).
cnf(c_0_1190,plain,
( epred35_0
| ~ epred34_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1184,c_0_1092]),c_0_1118])]) ).
cnf(c_0_1191,plain,
epred34_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1185,c_0_1186])]) ).
cnf(c_0_1192,plain,
( epred37_0
| op(e3,e4) != e2
| op(e4,e3) != e2
| ~ epred36_0 ),
i_0_968 ).
cnf(c_0_1193,plain,
~ epred37_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1187,c_0_1102]),c_0_1115])]),c_0_1188]) ).
cnf(c_0_1194,plain,
( epred36_0
| ~ epred35_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1189,c_0_1124])]) ).
cnf(c_0_1195,plain,
epred35_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1190,c_0_1191])]) ).
cnf(c_0_1196,plain,
~ epred36_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1192,c_0_1111]),c_0_1119])]),c_0_1193]) ).
cnf(c_0_1197,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1194,c_0_1195])]),c_0_1196]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG094+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n018.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 07:06:53 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected complete mode:
% 7.98/2.66 # ENIGMATIC: Solved by autoschedule:
% 7.98/2.66 # No SInE strategy applied
% 7.98/2.66 # Trying AutoSched0 for 150 seconds
% 7.98/2.66 # AutoSched0-Mode selected heuristic G_____0021_C18_F1_SE_CS_SP_S4S
% 7.98/2.66 # and selection function SelectNewComplexAHPNS.
% 7.98/2.66 #
% 7.98/2.66 # Preprocessing time : 0.040 s
% 7.98/2.66
% 7.98/2.66 # Proof found!
% 7.98/2.66 # SZS status Theorem
% 7.98/2.66 # SZS output start CNFRefutation
% See solution above
% 7.98/2.66 # Training examples: 0 positive, 0 negative
% 7.98/2.66
% 7.98/2.66 # -------------------------------------------------
% 7.98/2.66 # User time : 0.054 s
% 7.98/2.66 # System time : 0.008 s
% 7.98/2.66 # Total time : 0.062 s
% 7.98/2.66 # Maximum resident set size: 7120 pages
% 7.98/2.66
%------------------------------------------------------------------------------