TSTP Solution File: SWW245+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW245+1 : TPTP v8.1.0. Released v5.2.0.
% 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 21 00:01:49 EDT 2022
% Result : Theorem 5.08s 2.74s
% Output : CNFRefutation 5.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of clauses : 58 ( 25 unt; 16 nHn; 40 RR)
% Number of literals : 127 ( 108 equ; 62 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 10 con; 0-4 aty)
% Number of variables : 54 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1537,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ye3n09d6/lgb.p',i_0_1537) ).
cnf(i_0_970,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ye3n09d6/lgb.p',i_0_970) ).
cnf(i_0_167,plain,
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk4_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(t_a,esk4_0),c_Groups_Oone__class_Oone(tc_Nat_Onat))),esk2_0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| c_Groups_Ozero__class_Ozero(t_a) != v_c____
| c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| ~ class_Rings_Oidom(t_a) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ye3n09d6/lgb.p',i_0_167) ).
cnf(i_0_971,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ye3n09d6/lgb.p',i_0_971) ).
cnf(i_0_1585,hypothesis,
class_Rings_Oidom(t_a),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ye3n09d6/lgb.p',i_0_1585) ).
cnf(i_0_171,plain,
( c_Groups_Ozero__class_Ozero(t_a) = v_c____
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk7_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(t_a,esk7_0),c_Groups_Oone__class_Oone(tc_Nat_Onat))),esk5_0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| ~ class_Rings_Oidom(t_a) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ye3n09d6/lgb.p',i_0_171) ).
cnf(i_0_390,plain,
c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X1) = X2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ye3n09d6/lgb.p',i_0_390) ).
cnf(i_0_385,plain,
c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ye3n09d6/lgb.p',i_0_385) ).
cnf(i_0_163,negated_conjecture,
( X1 = c_Groups_Ozero__class_Ozero(t_a)
| c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),esk1_3(X2,X1,X3)),X2)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X1,X3)),esk1_3(X2,X1,X3))) != hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),esk1_3(X2,X1,X3))
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X3,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(t_a,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ye3n09d6/lgb.p',i_0_163) ).
cnf(i_0_166,plain,
( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk4_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(t_a,esk4_0),c_Groups_Oone__class_Oone(tc_Nat_Onat))),esk2_0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
| c_Groups_Ozero__class_Ozero(t_a) != v_c____
| ~ class_Rings_Oidom(t_a) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ye3n09d6/lgb.p',i_0_166) ).
cnf(i_0_165,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X1),esk2_0)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,esk3_0,esk4_0)),X1)) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X1)
| c_Groups_Ozero__class_Ozero(t_a) != v_c____
| ~ class_Rings_Oidom(t_a) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ye3n09d6/lgb.p',i_0_165) ).
cnf(i_0_168,plain,
( c_Groups_Ozero__class_Ozero(t_a) != v_c____
| c_Groups_Ozero__class_Ozero(t_a) != esk3_0
| ~ class_Rings_Oidom(t_a) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ye3n09d6/lgb.p',i_0_168) ).
cnf(i_0_169,plain,
( c_Groups_Ozero__class_Ozero(t_a) = v_c____
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X1),esk5_0)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,esk6_0,esk7_0)),X1)) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X1)
| ~ class_Rings_Oidom(t_a) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ye3n09d6/lgb.p',i_0_169) ).
cnf(i_0_976,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ye3n09d6/lgb.p',i_0_976) ).
cnf(i_0_170,plain,
( c_Groups_Ozero__class_Ozero(t_a) = v_c____
| c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk7_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(t_a,esk7_0),c_Groups_Oone__class_Oone(tc_Nat_Onat))),esk5_0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
| ~ class_Rings_Oidom(t_a) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ye3n09d6/lgb.p',i_0_170) ).
cnf(i_0_172,plain,
( c_Groups_Ozero__class_Ozero(t_a) = v_c____
| c_Groups_Ozero__class_Ozero(t_a) != esk6_0
| ~ class_Rings_Oidom(t_a) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ye3n09d6/lgb.p',i_0_172) ).
cnf(c_0_1602,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
i_0_1537 ).
cnf(c_0_1603,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),
i_0_970 ).
cnf(c_0_1604,plain,
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk4_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(t_a,esk4_0),c_Groups_Oone__class_Oone(tc_Nat_Onat))),esk2_0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| c_Groups_Ozero__class_Ozero(t_a) != v_c____
| c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| ~ class_Rings_Oidom(t_a) ),
i_0_167 ).
cnf(c_0_1605,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),
i_0_971 ).
cnf(c_0_1606,hypothesis,
class_Rings_Oidom(t_a),
i_0_1585 ).
cnf(c_0_1607,plain,
( c_Groups_Ozero__class_Ozero(t_a) = v_c____
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk7_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(t_a,esk7_0),c_Groups_Oone__class_Oone(tc_Nat_Onat))),esk5_0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| ~ class_Rings_Oidom(t_a) ),
i_0_171 ).
cnf(c_0_1608,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(spm,[status(thm)],[c_0_1602,c_0_1603]) ).
cnf(c_0_1609,plain,
c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X1) = X2,
i_0_390 ).
cnf(c_0_1610,plain,
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,esk2_0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_If(tc_Nat_Onat,c_fequal(esk4_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,esk4_0))))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != c_Polynomial_OpCons(t_a,v_c____,v_cs____)
| c_Groups_Ozero__class_Ozero(t_a) != v_c____ ),
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_1604,c_0_1605]),c_0_1605]),c_0_1603]),c_0_1605]),c_0_1606])]) ).
cnf(c_0_1611,plain,
c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
i_0_385 ).
cnf(c_0_1612,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(spm,[status(thm)],[c_0_1602,c_0_1605]) ).
cnf(c_0_1613,negated_conjecture,
( X1 = c_Groups_Ozero__class_Ozero(t_a)
| c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),esk1_3(X2,X1,X3)),X2)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X1,X3)),esk1_3(X2,X1,X3))) != hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),esk1_3(X2,X1,X3))
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X3,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(t_a,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
i_0_163 ).
cnf(c_0_1614,plain,
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,esk5_0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_If(tc_Nat_Onat,c_fequal(esk7_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,esk7_0))))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| c_Groups_Ozero__class_Ozero(t_a) = v_c____
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != c_Polynomial_OpCons(t_a,v_c____,v_cs____) ),
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_1607,c_0_1605]),c_0_1605]),c_0_1603]),c_0_1605]),c_0_1606])]) ).
cnf(c_0_1615,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(spm,[status(thm)],[c_0_1608,c_0_1605]) ).
cnf(c_0_1616,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != c_Polynomial_OpCons(t_a,v_c____,v_cs____)
| c_Groups_Ozero__class_Ozero(t_a) != v_c____ ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1609,c_0_1610]),c_0_1611]),c_0_1612]) ).
cnf(c_0_1617,negated_conjecture,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Polynomial_OpCons(t_a,v_c____,v_cs____)
| X1 = c_Groups_Ozero__class_Ozero(t_a)
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,X2))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),esk1_3(X3,X1,X2)),X3)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X1,X2)),esk1_3(X3,X1,X2))) != hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),esk1_3(X3,X1,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1613,c_0_1605]),c_0_1603]),c_0_1605]) ).
cnf(c_0_1618,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != c_Polynomial_OpCons(t_a,v_c____,v_cs____),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_1614,c_0_1615]),c_0_1616]) ).
cnf(c_0_1619,plain,
( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk4_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(t_a,esk4_0),c_Groups_Oone__class_Oone(tc_Nat_Onat))),esk2_0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
| c_Groups_Ozero__class_Ozero(t_a) != v_c____
| ~ class_Rings_Oidom(t_a) ),
i_0_166 ).
cnf(c_0_1620,negated_conjecture,
( X1 = c_Groups_Ozero__class_Ozero(t_a)
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,X2))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),esk1_3(X3,X1,X2)),X3)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X1,X2)),esk1_3(X3,X1,X2))) != hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),esk1_3(X3,X1,X2)) ),
inference(sr,[status(thm)],[c_0_1617,c_0_1618]) ).
cnf(c_0_1621,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),
inference(spm,[status(thm)],[c_0_1605,c_0_1603]) ).
cnf(c_0_1622,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X1),esk2_0)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,esk3_0,esk4_0)),X1)) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X1)
| c_Groups_Ozero__class_Ozero(t_a) != v_c____
| ~ class_Rings_Oidom(t_a) ),
i_0_165 ).
cnf(c_0_1623,plain,
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,esk2_0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_If(tc_Nat_Onat,c_fequal(esk4_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,esk4_0))))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Polynomial_OpCons(t_a,v_c____,v_cs____)
| c_Groups_Ozero__class_Ozero(t_a) != v_c____ ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1619,c_0_1605]),c_0_1605]),c_0_1603]),c_0_1605]),c_0_1605]),c_0_1606])]) ).
cnf(c_0_1624,plain,
( c_Groups_Ozero__class_Ozero(t_a) != v_c____
| c_Groups_Ozero__class_Ozero(t_a) != esk3_0
| ~ class_Rings_Oidom(t_a) ),
i_0_168 ).
cnf(c_0_1625,plain,
( c_Groups_Ozero__class_Ozero(t_a) = v_c____
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X1),esk5_0)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,esk6_0,esk7_0)),X1)) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X1)
| ~ class_Rings_Oidom(t_a) ),
i_0_169 ).
cnf(c_0_1626,negated_conjecture,
( X1 = c_Groups_Ozero__class_Ozero(t_a)
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,X2))),X3)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),esk1_3(X3,X1,X2)),X3)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X1,X2)),esk1_3(X3,X1,X2))) != hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),esk1_3(X3,X1,X2)) ),
inference(rw,[status(thm)],[c_0_1620,c_0_1621]) ).
cnf(c_0_1627,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X1),esk2_0)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,esk3_0,esk4_0)),X1)) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X1)
| c_Groups_Ozero__class_Ozero(t_a) != v_c____ ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1622,c_0_1606])]) ).
cnf(c_0_1628,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),
i_0_976 ).
cnf(c_0_1629,plain,
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,esk2_0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_If(tc_Nat_Onat,c_fequal(esk4_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,esk4_0))))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))
| c_Groups_Ozero__class_Ozero(t_a) != v_c____ ),
inference(sr,[status(thm)],[c_0_1623,c_0_1618]) ).
cnf(c_0_1630,plain,
( c_Groups_Ozero__class_Ozero(t_a) != v_c____
| c_Groups_Ozero__class_Ozero(t_a) != esk3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1624,c_0_1606])]) ).
cnf(c_0_1631,plain,
( c_Groups_Ozero__class_Ozero(t_a) = v_c____
| c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk7_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(t_a,esk7_0),c_Groups_Oone__class_Oone(tc_Nat_Onat))),esk5_0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
| ~ class_Rings_Oidom(t_a) ),
i_0_170 ).
cnf(c_0_1632,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X1),esk5_0)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,esk6_0,esk7_0)),X1)) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X1)
| c_Groups_Ozero__class_Ozero(t_a) = v_c____ ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1625,c_0_1606])]) ).
cnf(c_0_1633,plain,
c_Groups_Ozero__class_Ozero(t_a) != v_c____,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1626,c_0_1627]),c_0_1605]),c_0_1628]),c_0_1629]),c_0_1630]) ).
cnf(c_0_1634,plain,
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,esk5_0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_If(tc_Nat_Onat,c_fequal(esk7_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,esk7_0))))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Polynomial_OpCons(t_a,v_c____,v_cs____)
| c_Groups_Ozero__class_Ozero(t_a) = v_c____ ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1631,c_0_1605]),c_0_1605]),c_0_1603]),c_0_1605]),c_0_1605]),c_0_1606])]) ).
cnf(c_0_1635,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X1),esk5_0)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,esk6_0,esk7_0)),X1)) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X1),
inference(sr,[status(thm)],[c_0_1632,c_0_1633]) ).
cnf(c_0_1636,plain,
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,esk5_0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_If(tc_Nat_Onat,c_fequal(esk7_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,esk7_0))))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))
| c_Groups_Ozero__class_Ozero(t_a) = v_c____ ),
inference(sr,[status(thm)],[c_0_1634,c_0_1618]) ).
cnf(c_0_1637,negated_conjecture,
( c_Groups_Ozero__class_Ozero(t_a) = esk6_0
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,esk5_0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_If(tc_Nat_Onat,c_fequal(esk7_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,esk7_0))))) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1626,c_0_1635]),c_0_1605]),c_0_1628]) ).
cnf(c_0_1638,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,esk5_0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_If(tc_Nat_Onat,c_fequal(esk7_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,esk7_0))))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))),
inference(sr,[status(thm)],[c_0_1636,c_0_1633]) ).
cnf(c_0_1639,plain,
( c_Groups_Ozero__class_Ozero(t_a) = v_c____
| c_Groups_Ozero__class_Ozero(t_a) != esk6_0
| ~ class_Rings_Oidom(t_a) ),
i_0_172 ).
cnf(c_0_1640,negated_conjecture,
c_Groups_Ozero__class_Ozero(t_a) = esk6_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1637,c_0_1638])]) ).
cnf(c_0_1641,plain,
( c_Groups_Ozero__class_Ozero(t_a) = v_c____
| c_Groups_Ozero__class_Ozero(t_a) != esk6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1639,c_0_1606])]) ).
cnf(c_0_1642,plain,
esk6_0 != v_c____,
inference(rw,[status(thm)],[c_0_1633,c_0_1640]) ).
cnf(c_0_1643,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1641,c_0_1640]),c_0_1640])]),c_0_1642]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW245+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % 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 : Mon Jun 6 06:20:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected SinE mode:
% 0.19/0.52 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.52 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.52 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 5.08/2.74 # ENIGMATIC: Solved by autoschedule-lgb:
% 5.08/2.74 # No SInE strategy applied
% 5.08/2.74 # Trying AutoSched0 for 150 seconds
% 5.08/2.74 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 5.08/2.74 # and selection function SelectComplexExceptUniqMaxHorn.
% 5.08/2.74 #
% 5.08/2.74 # Preprocessing time : 0.022 s
% 5.08/2.74 # Presaturation interreduction done
% 5.08/2.74
% 5.08/2.74 # Proof found!
% 5.08/2.74 # SZS status Theorem
% 5.08/2.74 # SZS output start CNFRefutation
% See solution above
% 5.08/2.74 # Training examples: 0 positive, 0 negative
% 5.08/2.74
% 5.08/2.74 # -------------------------------------------------
% 5.08/2.74 # User time : 0.035 s
% 5.08/2.74 # System time : 0.004 s
% 5.08/2.74 # Total time : 0.038 s
% 5.08/2.74 # Maximum resident set size: 7380 pages
% 5.08/2.74
%------------------------------------------------------------------------------