TSTP Solution File: ALG022+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG022+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n019.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 14:42:04 EDT 2022
% Result : Theorem 7.14s 2.68s
% Output : CNFRefutation 7.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 33
% Syntax : Number of clauses : 79 ( 57 unt; 4 nHn; 79 RR)
% Number of literals : 307 ( 258 equ; 231 neg)
% Maximal clause size : 77 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 9 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_64,plain,
( op(e1,e1) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| ~ epred1_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_64) ).
cnf(i_0_7,plain,
op(e3,e3) = e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_7) ).
cnf(i_0_17,plain,
op(e1,e1) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_17) ).
cnf(i_0_6,plain,
e1 != e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_6) ).
cnf(i_0_5,plain,
e2 != e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_5) ).
cnf(i_0_4,plain,
e3 != e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_4) ).
cnf(i_0_178,plain,
( epred3_0
| op(e0,e2) != e2
| op(e0,e3) != e3
| op(e1,e0) != e1
| ~ epred2_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_178) ).
cnf(i_0_19,plain,
op(e0,e3) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_19) ).
cnf(i_0_20,plain,
op(e0,e2) = e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_20) ).
cnf(i_0_18,plain,
op(e1,e0) = e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_18) ).
cnf(i_0_158,plain,
( op(e0,e0) = e3
| epred1_0
| epred2_0
| op(e0,e0) != e0
| op(e0,e1) != e1 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_158) ).
cnf(i_0_22,plain,
op(e0,e0) = e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_22) ).
cnf(i_0_21,plain,
op(e0,e1) = e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_21) ).
cnf(i_0_237,plain,
( epred4_0
| op(e1,e1) != e3
| op(e1,e2) != e0
| op(e1,e3) != e2
| ~ epred3_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_237) ).
cnf(i_0_15,plain,
op(e1,e3) = e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_15) ).
cnf(i_0_16,plain,
op(e1,e2) = e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_16) ).
cnf(i_0_316,plain,
( epred5_0
| op(e2,e0) != e2
| op(e2,e1) != e0
| op(e2,e2) != e3
| ~ epred4_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_316) ).
cnf(i_0_14,plain,
op(e2,e0) = e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_14) ).
cnf(i_0_13,plain,
op(e2,e1) = e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_13) ).
cnf(i_0_12,plain,
op(e2,e2) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_12) ).
cnf(i_0_385,plain,
( epred6_0
| op(e2,e3) != e1
| op(e3,e0) != e3
| op(e3,e1) != e2
| ~ epred5_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_385) ).
cnf(i_0_10,plain,
op(e3,e0) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_10) ).
cnf(i_0_9,plain,
op(e3,e1) = e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_9) ).
cnf(i_0_11,plain,
op(e2,e3) = e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_11) ).
cnf(i_0_28,negated_conjecture,
( inv(e3) != e3
| ~ epred8_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_28) ).
cnf(i_0_24,plain,
inv(e3) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_24) ).
cnf(i_0_534,plain,
( epred8_0
| inv(e0) != e0
| inv(e1) != e2
| inv(e2) != e1
| op(e0,inv(e0)) != unit
| op(e1,inv(e1)) != unit
| op(e2,inv(e2)) != unit
| op(e3,inv(e3)) != unit
| op(inv(e0),e0) != unit
| op(inv(e1),e1) != unit
| op(inv(e2),e2) != unit
| op(inv(e3),e3) != unit
| ~ epred7_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_534) ).
cnf(i_0_27,plain,
inv(e0) = e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_27) ).
cnf(i_0_26,plain,
inv(e1) = e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_26) ).
cnf(i_0_25,plain,
inv(e2) = e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_25) ).
cnf(i_0_23,plain,
unit = e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_23) ).
cnf(i_0_463,plain,
( epred7_0
| unit != e0
| op(e0,unit) != e0
| op(e1,unit) != e1
| op(e2,unit) != e2
| op(e3,e2) != e1
| op(e3,e3) != e0
| op(e3,unit) != e3
| op(unit,e0) != e0
| op(unit,e1) != e1
| op(unit,e2) != e2
| op(unit,e3) != e3
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| ~ epred6_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_463) ).
cnf(i_0_8,plain,
op(e3,e2) = e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-am8hhodq/lgb.p',i_0_8) ).
cnf(c_0_568,plain,
( op(e1,e1) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| ~ epred1_0 ),
i_0_64 ).
cnf(c_0_569,plain,
op(e3,e3) = e0,
i_0_7 ).
cnf(c_0_570,plain,
op(e1,e1) = e3,
i_0_17 ).
cnf(c_0_571,plain,
e1 != e0,
i_0_6 ).
cnf(c_0_572,plain,
e2 != e0,
i_0_5 ).
cnf(c_0_573,plain,
e3 != e0,
i_0_4 ).
cnf(c_0_574,plain,
( epred3_0
| op(e0,e2) != e2
| op(e0,e3) != e3
| op(e1,e0) != e1
| ~ epred2_0 ),
i_0_178 ).
cnf(c_0_575,plain,
op(e0,e3) = e3,
i_0_19 ).
cnf(c_0_576,plain,
op(e0,e2) = e2,
i_0_20 ).
cnf(c_0_577,plain,
op(e1,e0) = e1,
i_0_18 ).
cnf(c_0_578,plain,
( op(e0,e0) = e3
| epred1_0
| epred2_0
| op(e0,e0) != e0
| op(e0,e1) != e1 ),
i_0_158 ).
cnf(c_0_579,plain,
op(e0,e0) = e0,
i_0_22 ).
cnf(c_0_580,plain,
op(e0,e1) = e1,
i_0_21 ).
cnf(c_0_581,plain,
~ epred1_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_568,c_0_569]),c_0_569]),c_0_570]),c_0_571]),c_0_572]),c_0_573]) ).
cnf(c_0_582,plain,
( epred4_0
| op(e1,e1) != e3
| op(e1,e2) != e0
| op(e1,e3) != e2
| ~ epred3_0 ),
i_0_237 ).
cnf(c_0_583,plain,
op(e1,e3) = e2,
i_0_15 ).
cnf(c_0_584,plain,
op(e1,e2) = e0,
i_0_16 ).
cnf(c_0_585,plain,
( epred3_0
| ~ epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_574,c_0_575]),c_0_576]),c_0_577])]) ).
cnf(c_0_586,plain,
epred2_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_578,c_0_579]),c_0_579]),c_0_580])]),c_0_573]),c_0_581]) ).
cnf(c_0_587,plain,
( epred5_0
| op(e2,e0) != e2
| op(e2,e1) != e0
| op(e2,e2) != e3
| ~ epred4_0 ),
i_0_316 ).
cnf(c_0_588,plain,
op(e2,e0) = e2,
i_0_14 ).
cnf(c_0_589,plain,
op(e2,e1) = e0,
i_0_13 ).
cnf(c_0_590,plain,
op(e2,e2) = e3,
i_0_12 ).
cnf(c_0_591,plain,
( epred4_0
| ~ epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_582,c_0_583]),c_0_570]),c_0_584])]) ).
cnf(c_0_592,plain,
epred3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_585,c_0_586])]) ).
cnf(c_0_593,plain,
( epred6_0
| op(e2,e3) != e1
| op(e3,e0) != e3
| op(e3,e1) != e2
| ~ epred5_0 ),
i_0_385 ).
cnf(c_0_594,plain,
op(e3,e0) = e3,
i_0_10 ).
cnf(c_0_595,plain,
op(e3,e1) = e2,
i_0_9 ).
cnf(c_0_596,plain,
op(e2,e3) = e1,
i_0_11 ).
cnf(c_0_597,plain,
( epred5_0
| ~ epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_587,c_0_588]),c_0_589]),c_0_590])]) ).
cnf(c_0_598,plain,
epred4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_591,c_0_592])]) ).
cnf(c_0_599,negated_conjecture,
( inv(e3) != e3
| ~ epred8_0 ),
i_0_28 ).
cnf(c_0_600,plain,
inv(e3) = e3,
i_0_24 ).
cnf(c_0_601,plain,
( epred6_0
| ~ epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_593,c_0_594]),c_0_595]),c_0_596])]) ).
cnf(c_0_602,plain,
epred5_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_597,c_0_598])]) ).
cnf(c_0_603,plain,
( epred8_0
| inv(e0) != e0
| inv(e1) != e2
| inv(e2) != e1
| op(e0,inv(e0)) != unit
| op(e1,inv(e1)) != unit
| op(e2,inv(e2)) != unit
| op(e3,inv(e3)) != unit
| op(inv(e0),e0) != unit
| op(inv(e1),e1) != unit
| op(inv(e2),e2) != unit
| op(inv(e3),e3) != unit
| ~ epred7_0 ),
i_0_534 ).
cnf(c_0_604,plain,
inv(e0) = e0,
i_0_27 ).
cnf(c_0_605,plain,
inv(e1) = e2,
i_0_26 ).
cnf(c_0_606,plain,
inv(e2) = e1,
i_0_25 ).
cnf(c_0_607,plain,
unit = e0,
i_0_23 ).
cnf(c_0_608,negated_conjecture,
~ epred8_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_599,c_0_600])]) ).
cnf(c_0_609,plain,
( epred7_0
| unit != e0
| op(e0,unit) != e0
| op(e1,unit) != e1
| op(e2,unit) != e2
| op(e3,e2) != e1
| op(e3,e3) != e0
| op(e3,unit) != e3
| op(unit,e0) != e0
| op(unit,e1) != e1
| op(unit,e2) != e2
| op(unit,e3) != e3
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| ~ epred6_0 ),
i_0_463 ).
cnf(c_0_610,plain,
op(e3,e2) = e1,
i_0_8 ).
cnf(c_0_611,plain,
epred6_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_601,c_0_602])]) ).
cnf(c_0_612,plain,
~ epred7_0,
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)],[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_603,c_0_604]),c_0_605]),c_0_606]),c_0_600]),c_0_569]),c_0_607]),c_0_604]),c_0_579]),c_0_607]),c_0_605]),c_0_584]),c_0_607]),c_0_606]),c_0_589]),c_0_607]),c_0_600]),c_0_569]),c_0_607]),c_0_604]),c_0_579]),c_0_607]),c_0_605]),c_0_589]),c_0_607]),c_0_606]),c_0_584]),c_0_607])]),c_0_608]) ).
cnf(c_0_613,plain,
$false,
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)],[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)],[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)],[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)],[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)],[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)],[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)],[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)],[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)],[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)],[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)],[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)],[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_609,c_0_607]),c_0_569]),c_0_610]),c_0_607]),c_0_594]),c_0_607]),c_0_579]),c_0_607]),c_0_577]),c_0_607]),c_0_588]),c_0_607]),c_0_575]),c_0_607]),c_0_579]),c_0_607]),c_0_580]),c_0_607]),c_0_576]),c_0_569]),c_0_575]),c_0_569]),c_0_594]),c_0_569]),c_0_579]),c_0_594]),c_0_569]),c_0_569]),c_0_580]),c_0_595]),c_0_610]),c_0_569]),c_0_576]),c_0_610]),c_0_595]),c_0_594]),c_0_569]),c_0_575]),c_0_569]),c_0_594]),c_0_594]),c_0_579]),c_0_594]),c_0_594]),c_0_595]),c_0_580]),c_0_595]),c_0_594]),c_0_610]),c_0_576]),c_0_610]),c_0_595]),c_0_596]),c_0_583]),c_0_610]),c_0_595]),c_0_588]),c_0_577]),c_0_595]),c_0_595]),c_0_589]),c_0_570]),c_0_569]),c_0_595]),c_0_590]),c_0_584]),c_0_594]),c_0_610]),c_0_583]),c_0_596]),c_0_595]),c_0_610]),c_0_577]),c_0_588]),c_0_610]),c_0_610]),c_0_570]),c_0_589]),c_0_594]),c_0_610]),c_0_584]),c_0_590]),c_0_569]),c_0_575]),c_0_569]),c_0_569]),c_0_579]),c_0_575]),c_0_594]),c_0_594]),c_0_575]),c_0_575]),c_0_595]),c_0_595]),c_0_576]),c_0_575]),c_0_610]),c_0_610]),c_0_580]),c_0_579]),c_0_575]),c_0_575]),c_0_575]),c_0_579]),c_0_579]),c_0_579]),c_0_579]),c_0_579]),c_0_580]),c_0_580]),c_0_580]),c_0_579]),c_0_576]),c_0_576]),c_0_576]),c_0_580]),c_0_583]),c_0_583]),c_0_576]),c_0_580]),c_0_577]),c_0_577]),c_0_580]),c_0_580]),c_0_570]),c_0_570]),c_0_575]),c_0_580]),c_0_584]),c_0_584]),c_0_579]),c_0_576]),c_0_596]),c_0_596]),c_0_580]),c_0_576]),c_0_588]),c_0_588]),c_0_576]),c_0_576]),c_0_589]),c_0_589]),c_0_579]),c_0_576]),c_0_590]),c_0_590]),c_0_575]),c_0_583]),c_0_596]),c_0_569]),c_0_577]),c_0_583]),c_0_588]),c_0_594]),c_0_583]),c_0_583]),c_0_589]),c_0_595]),c_0_584]),c_0_583]),c_0_590]),c_0_610]),c_0_570]),c_0_577]),c_0_583]),c_0_575]),c_0_583]),c_0_577]),c_0_577]),c_0_579]),c_0_577]),c_0_577]),c_0_570]),c_0_580]),c_0_570]),c_0_577]),c_0_584]),c_0_576]),c_0_584]),c_0_570]),c_0_569]),c_0_583]),c_0_584]),c_0_570]),c_0_594]),c_0_577]),c_0_570]),c_0_570]),c_0_595]),c_0_570]),c_0_583]),c_0_570]),c_0_610]),c_0_584]),c_0_577]),c_0_584]),c_0_575]),c_0_596]),c_0_570]),c_0_584]),c_0_579]),c_0_588]),c_0_584]),c_0_584]),c_0_580]),c_0_589]),c_0_577]),c_0_584]),c_0_576]),c_0_590]),c_0_583]),c_0_596]),c_0_583]),c_0_569]),c_0_588]),c_0_596]),c_0_577]),c_0_594]),c_0_596]),c_0_596]),c_0_570]),c_0_595]),c_0_590]),c_0_596]),c_0_584]),c_0_610]),c_0_589]),c_0_588]),c_0_596]),c_0_575]),c_0_596]),c_0_588]),c_0_588]),c_0_579]),c_0_588]),c_0_588]),c_0_589]),c_0_580]),c_0_589]),c_0_588]),c_0_590]),c_0_576]),c_0_590]),c_0_589]),c_0_575]),c_0_583]),c_0_590]),c_0_589]),c_0_579]),c_0_577]),c_0_589]),c_0_589]),c_0_580]),c_0_570]),c_0_596]),c_0_589]),c_0_576]),c_0_584]),c_0_588]),c_0_590]),c_0_569]),c_0_596]),c_0_589]),c_0_590]),c_0_594]),c_0_588]),c_0_590]),c_0_590]),c_0_595]),c_0_589]),c_0_588]),c_0_590]),c_0_610]),c_0_590]),c_0_596]),c_0_611])]),c_0_612]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG022+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 06:59:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected complete mode:
% 7.14/2.68 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.14/2.68 # No SInE strategy applied
% 7.14/2.68 # Trying AutoSched0 for 150 seconds
% 7.14/2.68 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S04CA
% 7.14/2.68 # and selection function MSelectComplexExceptUniqMaxHorn.
% 7.14/2.68 #
% 7.14/2.68 # Preprocessing time : 0.055 s
% 7.14/2.68 # Presaturation interreduction done
% 7.14/2.68
% 7.14/2.68 # Proof found!
% 7.14/2.68 # SZS status Theorem
% 7.14/2.68 # SZS output start CNFRefutation
% See solution above
% 7.14/2.68 # Training examples: 0 positive, 0 negative
% 7.14/2.68
% 7.14/2.68 # -------------------------------------------------
% 7.14/2.68 # User time : 0.069 s
% 7.14/2.68 # System time : 0.007 s
% 7.14/2.68 # Total time : 0.077 s
% 7.14/2.68 # Maximum resident set size: 7124 pages
% 7.14/2.68
%------------------------------------------------------------------------------