TSTP Solution File: LAT351+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT351+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n008.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 : Sun Jul 17 04:30:08 EDT 2022
% Result : Theorem 8.87s 2.62s
% Output : CNFRefutation 8.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 29
% Syntax : Number of clauses : 70 ( 41 unt; 4 nHn; 52 RR)
% Number of literals : 321 ( 15 equ; 251 neg)
% Maximal clause size : 20 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-1 aty)
% Number of variables : 69 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_403,plain,
( r5_waybel_1(X1,X2)
| k1_card_1(X3) != k1_card_1(X4)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ v3_waybel_3(X2)
| ~ v3_waybel_3(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ r1_waybel22(X2,X4)
| ~ r1_waybel22(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_403) ).
cnf(i_0_402,plain,
r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))),k1_waybel22(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_402) ).
cnf(i_0_401,plain,
k1_card_1(k1_waybel22(X1)) = k1_card_1(X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_401) ).
cnf(i_0_152,plain,
l1_orders_2(k2_yellow_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_152) ).
cnf(i_0_227,plain,
( v3_struct_0(X1)
| v3_waybel_3(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_227) ).
cnf(i_0_68,plain,
( ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v3_struct_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_68) ).
cnf(i_0_212,plain,
v2_yellow_0(k3_yellow_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_212) ).
cnf(i_0_155,plain,
l1_orders_2(k3_yellow_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_155) ).
cnf(i_0_215,plain,
v2_lattice3(k3_yellow_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_215) ).
cnf(i_0_217,plain,
v4_orders_2(k3_yellow_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_217) ).
cnf(i_0_218,plain,
v3_orders_2(k3_yellow_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_218) ).
cnf(i_0_219,plain,
v2_orders_2(k3_yellow_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_219) ).
cnf(i_0_251,plain,
( v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_251) ).
cnf(i_0_252,plain,
( v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_252) ).
cnf(i_0_230,plain,
( v3_struct_0(X1)
| v1_lattice3(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_230) ).
cnf(i_0_253,plain,
( v4_orders_2(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_253) ).
cnf(i_0_254,plain,
( v3_orders_2(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_254) ).
cnf(i_0_255,plain,
( v2_orders_2(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_255) ).
cnf(i_0_3,negated_conjecture,
r1_waybel22(esk2_0,esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_3) ).
cnf(i_0_4,negated_conjecture,
l1_orders_2(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
v3_waybel_3(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
v3_lattice3(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_6) ).
cnf(i_0_7,negated_conjecture,
v2_lattice3(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_7) ).
cnf(i_0_8,negated_conjecture,
v1_lattice3(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_8) ).
cnf(i_0_9,negated_conjecture,
v4_orders_2(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_9) ).
cnf(i_0_10,negated_conjecture,
v3_orders_2(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_10) ).
cnf(i_0_11,negated_conjecture,
v2_orders_2(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_11) ).
cnf(i_0_1,negated_conjecture,
~ r5_waybel_1(esk2_0,k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_1) ).
cnf(i_0_2,negated_conjecture,
k1_card_1(esk1_0) = k1_card_1(esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-78ic2mji/lgb.p',i_0_2) ).
cnf(c_0_433,plain,
( r5_waybel_1(X1,X2)
| k1_card_1(X3) != k1_card_1(X4)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ v3_waybel_3(X2)
| ~ v3_waybel_3(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ r1_waybel22(X2,X4)
| ~ r1_waybel22(X1,X3) ),
i_0_403 ).
cnf(c_0_434,plain,
r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))),k1_waybel22(X1)),
i_0_402 ).
cnf(c_0_435,plain,
k1_card_1(k1_waybel22(X1)) = k1_card_1(X1),
i_0_401 ).
cnf(c_0_436,plain,
l1_orders_2(k2_yellow_1(X1)),
i_0_152 ).
cnf(c_0_437,plain,
( v3_struct_0(X1)
| v3_waybel_3(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1) ),
i_0_227 ).
cnf(c_0_438,plain,
( ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v3_struct_0(X1) ),
i_0_68 ).
cnf(c_0_439,plain,
( r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| k1_card_1(X3) != k1_card_1(X2)
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_lattice3(X1)
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_lattice3(X1)
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v1_lattice3(X1)
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v4_orders_2(X1)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_orders_2(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_orders_2(X1)
| ~ r1_waybel22(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_434]),c_0_435]),c_0_436])]) ).
cnf(c_0_440,plain,
( v3_waybel_3(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_yellow_0(X1)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[c_0_437,c_0_438]) ).
cnf(c_0_441,plain,
v2_yellow_0(k3_yellow_1(X1)),
i_0_212 ).
cnf(c_0_442,plain,
l1_orders_2(k3_yellow_1(X1)),
i_0_155 ).
cnf(c_0_443,plain,
v2_lattice3(k3_yellow_1(X1)),
i_0_215 ).
cnf(c_0_444,plain,
v4_orders_2(k3_yellow_1(X1)),
i_0_217 ).
cnf(c_0_445,plain,
v3_orders_2(k3_yellow_1(X1)),
i_0_218 ).
cnf(c_0_446,plain,
v2_orders_2(k3_yellow_1(X1)),
i_0_219 ).
cnf(c_0_447,plain,
( r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| k1_card_1(X3) != k1_card_1(X2)
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_lattice3(X1)
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_lattice3(X1)
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v1_lattice3(X1)
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v4_orders_2(X1)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_orders_2(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_orders_2(X1)
| ~ r1_waybel22(X1,X3) ),
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(spm,[status(thm)],[c_0_439,c_0_440]),c_0_441]),c_0_442]),c_0_443]),c_0_444]),c_0_445]),c_0_446])]) ).
cnf(c_0_448,plain,
( v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1) ),
i_0_251 ).
cnf(c_0_449,plain,
( r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| k1_card_1(X3) != k1_card_1(X2)
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_lattice3(X1)
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v1_lattice3(X1)
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v4_orders_2(X1)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_orders_2(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_orders_2(X1)
| ~ r1_waybel22(X1,X3) ),
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(spm,[status(thm)],[c_0_447,c_0_448]),c_0_441]),c_0_442]),c_0_443]),c_0_444]),c_0_445]),c_0_446])]) ).
cnf(c_0_450,plain,
( v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1) ),
i_0_252 ).
cnf(c_0_451,plain,
( v3_struct_0(X1)
| v1_lattice3(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1) ),
i_0_230 ).
cnf(c_0_452,plain,
( r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| k1_card_1(X3) != k1_card_1(X2)
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v1_lattice3(X1)
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v4_orders_2(X1)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_orders_2(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_orders_2(X1)
| ~ r1_waybel22(X1,X3) ),
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(spm,[status(thm)],[c_0_449,c_0_450]),c_0_441]),c_0_442]),c_0_443]),c_0_444]),c_0_445]),c_0_446])]) ).
cnf(c_0_453,plain,
( v1_lattice3(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_yellow_0(X1)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[c_0_451,c_0_438]) ).
cnf(c_0_454,plain,
( r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| k1_card_1(X3) != k1_card_1(X2)
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v4_orders_2(X1)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_orders_2(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_orders_2(X1)
| ~ r1_waybel22(X1,X3) ),
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(spm,[status(thm)],[c_0_452,c_0_453]),c_0_441]),c_0_442]),c_0_443]),c_0_444]),c_0_445]),c_0_446])]) ).
cnf(c_0_455,plain,
( v4_orders_2(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1) ),
i_0_253 ).
cnf(c_0_456,plain,
( r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| k1_card_1(X3) != k1_card_1(X2)
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_orders_2(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_orders_2(X1)
| ~ r1_waybel22(X1,X3) ),
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(spm,[status(thm)],[c_0_454,c_0_455]),c_0_441]),c_0_442]),c_0_443]),c_0_444]),c_0_445]),c_0_446])]) ).
cnf(c_0_457,plain,
( v3_orders_2(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1) ),
i_0_254 ).
cnf(c_0_458,plain,
( r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| k1_card_1(X3) != k1_card_1(X2)
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_orders_2(X1)
| ~ r1_waybel22(X1,X3) ),
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(spm,[status(thm)],[c_0_456,c_0_457]),c_0_441]),c_0_442]),c_0_443]),c_0_444]),c_0_445]),c_0_446])]) ).
cnf(c_0_459,plain,
( v2_orders_2(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1) ),
i_0_255 ).
cnf(c_0_460,plain,
( r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| k1_card_1(X3) != k1_card_1(X2)
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ r1_waybel22(X1,X3) ),
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(spm,[status(thm)],[c_0_458,c_0_459]),c_0_441]),c_0_442]),c_0_443]),c_0_444]),c_0_445]),c_0_446])]) ).
cnf(c_0_461,negated_conjecture,
r1_waybel22(esk2_0,esk3_0),
i_0_3 ).
cnf(c_0_462,negated_conjecture,
l1_orders_2(esk2_0),
i_0_4 ).
cnf(c_0_463,negated_conjecture,
v3_waybel_3(esk2_0),
i_0_5 ).
cnf(c_0_464,negated_conjecture,
v3_lattice3(esk2_0),
i_0_6 ).
cnf(c_0_465,negated_conjecture,
v2_lattice3(esk2_0),
i_0_7 ).
cnf(c_0_466,negated_conjecture,
v1_lattice3(esk2_0),
i_0_8 ).
cnf(c_0_467,negated_conjecture,
v4_orders_2(esk2_0),
i_0_9 ).
cnf(c_0_468,negated_conjecture,
v3_orders_2(esk2_0),
i_0_10 ).
cnf(c_0_469,negated_conjecture,
v2_orders_2(esk2_0),
i_0_11 ).
cnf(c_0_470,negated_conjecture,
~ r5_waybel_1(esk2_0,k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))),
i_0_1 ).
cnf(c_0_471,negated_conjecture,
( r5_waybel_1(esk2_0,k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))))
| k1_card_1(esk3_0) != k1_card_1(X1) ),
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(spm,[status(thm)],[c_0_460,c_0_461]),c_0_462]),c_0_463]),c_0_464]),c_0_465]),c_0_466]),c_0_467]),c_0_468]),c_0_469])]) ).
cnf(c_0_472,negated_conjecture,
k1_card_1(esk1_0) = k1_card_1(esk3_0),
i_0_2 ).
cnf(c_0_473,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_470,c_0_471]),c_0_472])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : LAT351+1 : TPTP v8.1.0. Released v3.4.0.
% 0.08/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jun 30 15:06:54 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.48 # ENIGMATIC: Selected complete mode:
% 8.87/2.62 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.87/2.62 # No SInE strategy applied
% 8.87/2.62 # Trying AutoSched0 for 150 seconds
% 8.87/2.62 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.87/2.62 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.87/2.62 #
% 8.87/2.62 # Preprocessing time : 0.028 s
% 8.87/2.62 # Presaturation interreduction done
% 8.87/2.62
% 8.87/2.62 # Proof found!
% 8.87/2.62 # SZS status Theorem
% 8.87/2.62 # SZS output start CNFRefutation
% See solution above
% 8.87/2.62 # Training examples: 0 positive, 0 negative
% 8.87/2.62
% 8.87/2.62 # -------------------------------------------------
% 8.87/2.62 # User time : 0.042 s
% 8.87/2.62 # System time : 0.012 s
% 8.87/2.62 # Total time : 0.054 s
% 8.87/2.62 # Maximum resident set size: 7128 pages
% 8.87/2.62
%------------------------------------------------------------------------------