TSTP Solution File: ALG021+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG021+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 14:42:03 EDT 2022
% Result : Theorem 8.03s 2.62s
% Output : CNFRefutation 8.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 29
% Syntax : Number of clauses : 70 ( 50 unt; 0 nHn; 70 RR)
% Number of literals : 294 ( 250 equ; 228 neg)
% Maximal clause size : 77 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 8 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_114,plain,
( epred2_0
| op(e0,e2) != e2
| op(e0,e3) != e3
| op(e1,e0) != e1
| ~ epred1_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_114) ).
cnf(i_0_19,plain,
op(e0,e3) = e3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_19) ).
cnf(i_0_20,plain,
op(e0,e2) = e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_20) ).
cnf(i_0_18,plain,
op(e1,e0) = e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_18) ).
cnf(i_0_94,plain,
( epred1_0
| op(e0,e0) != e0
| op(e0,e1) != e1
| op(e1,e1) != e0
| op(e2,e2) != e0
| op(e3,e3) != e0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_94) ).
cnf(i_0_7,plain,
op(e3,e3) = e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_7) ).
cnf(i_0_22,plain,
op(e0,e0) = e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_22) ).
cnf(i_0_21,plain,
op(e0,e1) = e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_21) ).
cnf(i_0_17,plain,
op(e1,e1) = e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_17) ).
cnf(i_0_12,plain,
op(e2,e2) = e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_12) ).
cnf(i_0_209,plain,
( epred3_0
| op(e1,e1) != e0
| op(e1,e2) != e3
| op(e1,e3) != e2
| ~ epred2_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_209) ).
cnf(i_0_15,plain,
op(e1,e3) = e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_15) ).
cnf(i_0_16,plain,
op(e1,e2) = e3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_16) ).
cnf(i_0_243,plain,
( epred4_0
| op(e2,e0) != e2
| op(e2,e1) != e3
| op(e2,e2) != e0
| ~ epred3_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_243) ).
cnf(i_0_14,plain,
op(e2,e0) = e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_14) ).
cnf(i_0_13,plain,
op(e2,e1) = e3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_13) ).
cnf(i_0_321,plain,
( epred5_0
| op(e2,e3) != e1
| op(e3,e0) != e3
| op(e3,e1) != e2
| ~ epred4_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_321) ).
cnf(i_0_10,plain,
op(e3,e0) = e3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_10) ).
cnf(i_0_9,plain,
op(e3,e1) = e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_9) ).
cnf(i_0_11,plain,
op(e2,e3) = e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_11) ).
cnf(i_0_28,negated_conjecture,
( inv(e3) != e3
| ~ epred7_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_28) ).
cnf(i_0_24,plain,
inv(e3) = e3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_24) ).
cnf(i_0_473,plain,
( epred7_0
| inv(e0) != e0
| inv(e1) != e1
| inv(e2) != e2
| 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
| ~ epred6_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_473) ).
cnf(i_0_27,plain,
inv(e0) = e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_27) ).
cnf(i_0_26,plain,
inv(e1) = e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_26) ).
cnf(i_0_25,plain,
inv(e2) = e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_25) ).
cnf(i_0_23,plain,
unit = e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_23) ).
cnf(i_0_399,plain,
( epred6_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))
| ~ epred5_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_399) ).
cnf(i_0_8,plain,
op(e3,e2) = e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-456avfi_/lgb.p',i_0_8) ).
cnf(c_0_503,plain,
( epred2_0
| op(e0,e2) != e2
| op(e0,e3) != e3
| op(e1,e0) != e1
| ~ epred1_0 ),
i_0_114 ).
cnf(c_0_504,plain,
op(e0,e3) = e3,
i_0_19 ).
cnf(c_0_505,plain,
op(e0,e2) = e2,
i_0_20 ).
cnf(c_0_506,plain,
op(e1,e0) = e1,
i_0_18 ).
cnf(c_0_507,plain,
( epred1_0
| op(e0,e0) != e0
| op(e0,e1) != e1
| op(e1,e1) != e0
| op(e2,e2) != e0
| op(e3,e3) != e0 ),
i_0_94 ).
cnf(c_0_508,plain,
op(e3,e3) = e0,
i_0_7 ).
cnf(c_0_509,plain,
op(e0,e0) = e0,
i_0_22 ).
cnf(c_0_510,plain,
op(e0,e1) = e1,
i_0_21 ).
cnf(c_0_511,plain,
op(e1,e1) = e0,
i_0_17 ).
cnf(c_0_512,plain,
op(e2,e2) = e0,
i_0_12 ).
cnf(c_0_513,plain,
( epred3_0
| op(e1,e1) != e0
| op(e1,e2) != e3
| op(e1,e3) != e2
| ~ epred2_0 ),
i_0_209 ).
cnf(c_0_514,plain,
op(e1,e3) = e2,
i_0_15 ).
cnf(c_0_515,plain,
op(e1,e2) = e3,
i_0_16 ).
cnf(c_0_516,plain,
( epred2_0
| ~ epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_503,c_0_504]),c_0_505]),c_0_506])]) ).
cnf(c_0_517,plain,
epred1_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_507,c_0_508]),c_0_509]),c_0_510]),c_0_511]),c_0_512])]) ).
cnf(c_0_518,plain,
( epred4_0
| op(e2,e0) != e2
| op(e2,e1) != e3
| op(e2,e2) != e0
| ~ epred3_0 ),
i_0_243 ).
cnf(c_0_519,plain,
op(e2,e0) = e2,
i_0_14 ).
cnf(c_0_520,plain,
op(e2,e1) = e3,
i_0_13 ).
cnf(c_0_521,plain,
( epred3_0
| ~ epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_513,c_0_514]),c_0_511]),c_0_515])]) ).
cnf(c_0_522,plain,
epred2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_516,c_0_517])]) ).
cnf(c_0_523,plain,
( epred5_0
| op(e2,e3) != e1
| op(e3,e0) != e3
| op(e3,e1) != e2
| ~ epred4_0 ),
i_0_321 ).
cnf(c_0_524,plain,
op(e3,e0) = e3,
i_0_10 ).
cnf(c_0_525,plain,
op(e3,e1) = e2,
i_0_9 ).
cnf(c_0_526,plain,
op(e2,e3) = e1,
i_0_11 ).
cnf(c_0_527,plain,
( epred4_0
| ~ epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_518,c_0_519]),c_0_520]),c_0_512])]) ).
cnf(c_0_528,plain,
epred3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_521,c_0_522])]) ).
cnf(c_0_529,negated_conjecture,
( inv(e3) != e3
| ~ epred7_0 ),
i_0_28 ).
cnf(c_0_530,plain,
inv(e3) = e3,
i_0_24 ).
cnf(c_0_531,plain,
( epred5_0
| ~ epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_523,c_0_524]),c_0_525]),c_0_526])]) ).
cnf(c_0_532,plain,
epred4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_527,c_0_528])]) ).
cnf(c_0_533,plain,
( epred7_0
| inv(e0) != e0
| inv(e1) != e1
| inv(e2) != e2
| 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
| ~ epred6_0 ),
i_0_473 ).
cnf(c_0_534,plain,
inv(e0) = e0,
i_0_27 ).
cnf(c_0_535,plain,
inv(e1) = e1,
i_0_26 ).
cnf(c_0_536,plain,
inv(e2) = e2,
i_0_25 ).
cnf(c_0_537,plain,
unit = e0,
i_0_23 ).
cnf(c_0_538,negated_conjecture,
~ epred7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_529,c_0_530])]) ).
cnf(c_0_539,plain,
( epred6_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))
| ~ epred5_0 ),
i_0_399 ).
cnf(c_0_540,plain,
op(e3,e2) = e1,
i_0_8 ).
cnf(c_0_541,plain,
epred5_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_531,c_0_532])]) ).
cnf(c_0_542,plain,
~ epred6_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_533,c_0_534]),c_0_535]),c_0_536]),c_0_530]),c_0_508]),c_0_537]),c_0_534]),c_0_509]),c_0_537]),c_0_535]),c_0_511]),c_0_537]),c_0_536]),c_0_512]),c_0_537]),c_0_530]),c_0_508]),c_0_537]),c_0_534]),c_0_509]),c_0_537]),c_0_535]),c_0_511]),c_0_537]),c_0_536]),c_0_512]),c_0_537])]),c_0_538]) ).
cnf(c_0_543,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_539,c_0_537]),c_0_508]),c_0_540]),c_0_537]),c_0_524]),c_0_537]),c_0_509]),c_0_537]),c_0_506]),c_0_537]),c_0_519]),c_0_537]),c_0_504]),c_0_537]),c_0_509]),c_0_537]),c_0_510]),c_0_537]),c_0_505]),c_0_508]),c_0_504]),c_0_508]),c_0_524]),c_0_508]),c_0_509]),c_0_524]),c_0_508]),c_0_508]),c_0_510]),c_0_525]),c_0_540]),c_0_508]),c_0_505]),c_0_540]),c_0_525]),c_0_524]),c_0_508]),c_0_504]),c_0_508]),c_0_524]),c_0_524]),c_0_509]),c_0_524]),c_0_524]),c_0_525]),c_0_510]),c_0_525]),c_0_524]),c_0_540]),c_0_505]),c_0_540]),c_0_525]),c_0_526]),c_0_514]),c_0_540]),c_0_525]),c_0_519]),c_0_506]),c_0_525]),c_0_525]),c_0_520]),c_0_511]),c_0_524]),c_0_525]),c_0_512]),c_0_515]),c_0_508]),c_0_540]),c_0_514]),c_0_526]),c_0_525]),c_0_540]),c_0_506]),c_0_519]),c_0_540]),c_0_540]),c_0_511]),c_0_520]),c_0_508]),c_0_540]),c_0_515]),c_0_512]),c_0_524]),c_0_504]),c_0_508]),c_0_508]),c_0_509]),c_0_504]),c_0_524]),c_0_524]),c_0_504]),c_0_504]),c_0_525]),c_0_525]),c_0_505]),c_0_504]),c_0_540]),c_0_540]),c_0_510]),c_0_509]),c_0_504]),c_0_504]),c_0_504]),c_0_509]),c_0_509]),c_0_509]),c_0_509]),c_0_509]),c_0_510]),c_0_510]),c_0_510]),c_0_509]),c_0_505]),c_0_505]),c_0_505]),c_0_510]),c_0_514]),c_0_514]),c_0_505]),c_0_510]),c_0_506]),c_0_506]),c_0_510]),c_0_510]),c_0_511]),c_0_511]),c_0_509]),c_0_510]),c_0_515]),c_0_515]),c_0_504]),c_0_505]),c_0_526]),c_0_526]),c_0_510]),c_0_505]),c_0_519]),c_0_519]),c_0_505]),c_0_505]),c_0_520]),c_0_520]),c_0_504]),c_0_505]),c_0_512]),c_0_512]),c_0_509]),c_0_514]),c_0_526]),c_0_508]),c_0_506]),c_0_514]),c_0_519]),c_0_524]),c_0_514]),c_0_514]),c_0_520]),c_0_525]),c_0_515]),c_0_514]),c_0_512]),c_0_540]),c_0_511]),c_0_506]),c_0_514]),c_0_504]),c_0_514]),c_0_506]),c_0_506]),c_0_509]),c_0_506]),c_0_506]),c_0_511]),c_0_510]),c_0_511]),c_0_506]),c_0_515]),c_0_505]),c_0_515]),c_0_511]),c_0_504]),c_0_514]),c_0_515]),c_0_511]),c_0_509]),c_0_506]),c_0_511]),c_0_511]),c_0_510]),c_0_511]),c_0_506]),c_0_511]),c_0_505]),c_0_515]),c_0_514]),c_0_515]),c_0_508]),c_0_526]),c_0_511]),c_0_515]),c_0_524]),c_0_519]),c_0_515]),c_0_515]),c_0_525]),c_0_520]),c_0_514]),c_0_515]),c_0_540]),c_0_512]),c_0_506]),c_0_526]),c_0_514]),c_0_508]),c_0_519]),c_0_526]),c_0_506]),c_0_524]),c_0_526]),c_0_526]),c_0_511]),c_0_525]),c_0_512]),c_0_526]),c_0_515]),c_0_540]),c_0_520]),c_0_519]),c_0_526]),c_0_504]),c_0_526]),c_0_519]),c_0_519]),c_0_509]),c_0_519]),c_0_519]),c_0_520]),c_0_510]),c_0_520]),c_0_519]),c_0_512]),c_0_505]),c_0_512]),c_0_520]),c_0_508]),c_0_514]),c_0_512]),c_0_520]),c_0_524]),c_0_506]),c_0_520]),c_0_520]),c_0_525]),c_0_511]),c_0_519]),c_0_520]),c_0_540]),c_0_515]),c_0_526]),c_0_512]),c_0_504]),c_0_526]),c_0_520]),c_0_512]),c_0_509]),c_0_519]),c_0_512]),c_0_512]),c_0_510]),c_0_520]),c_0_526]),c_0_512]),c_0_505]),c_0_512]),c_0_519]),c_0_541])]),c_0_542]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG021+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 8 18:54:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 8.03/2.62 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.03/2.62 # No SInE strategy applied
% 8.03/2.62 # Trying AutoSched0 for 150 seconds
% 8.03/2.62 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.03/2.62 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.03/2.62 #
% 8.03/2.62 # Preprocessing time : 0.067 s
% 8.03/2.62 # Presaturation interreduction done
% 8.03/2.62
% 8.03/2.62 # Proof found!
% 8.03/2.62 # SZS status Theorem
% 8.03/2.62 # SZS output start CNFRefutation
% See solution above
% 8.03/2.62 # Training examples: 0 positive, 0 negative
% 8.03/2.62
% 8.03/2.62 # -------------------------------------------------
% 8.03/2.62 # User time : 0.083 s
% 8.03/2.62 # System time : 0.004 s
% 8.03/2.62 # Total time : 0.087 s
% 8.03/2.62 # Maximum resident set size: 7124 pages
% 8.03/2.62
%------------------------------------------------------------------------------