TSTP Solution File: SWW182+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWW182+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 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 : 300s
% DateTime : Wed May 31 12:44:26 EDT 2023
% Result : Theorem 1.17s 0.55s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 61 ( 28 unt; 0 def)
% Number of atoms : 94 ( 46 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 62 ( 29 ~; 24 |; 0 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 89 (; 89 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [V_h,T_a] :
( class_Rings_Ocomm__semiring__0(T_a)
=> c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [V_n,T_a] :
( class_Groups_Ozero(T_a)
=> c_Polynomial_Omonom(T_a,c_Groups_Ozero__class_Ozero(T_a),V_n) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [V_a,T_a] :
( class_Groups_Ozero(T_a)
=> c_Polynomial_Omonom(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Polynomial_OpCons(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,axiom,
! [V_a,T_a] :
( class_Groups_Ocomm__monoid__add(T_a)
=> c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,axiom,
! [V_a,T_a] :
( class_Groups_Ocomm__monoid__add(T_a)
=> c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f77,axiom,
! [V_h,V_p,V_a,T_a] :
( class_Rings_Ocomm__semiring__0(T_a)
=> c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,c_Polynomial_OpCons(T_a,V_a,V_p),V_h) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h)),c_Polynomial_OpCons(T_a,V_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f998,axiom,
! [T] :
( class_Rings_Ocomm__semiring__0(T)
=> class_Groups_Ocomm__monoid__add(T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1004,axiom,
! [T] :
( class_Rings_Ocomm__semiring__0(T)
=> class_Groups_Ozero(T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1147,axiom,
! [T_1] :
( class_Rings_Ocomm__semiring__0(T_1)
=> class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1180,conjecture,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),v_h) = c_Polynomial_OpCons(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1181,negated_conjecture,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),v_h) != c_Polynomial_OpCons(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
inference(negated_conjecture,[status(cth)],[f1180]) ).
fof(f1182,hypothesis,
class_Rings_Ocomm__semiring__0(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1186,plain,
! [V_h,T_a] :
( ~ class_Rings_Ocomm__semiring__0(T_a)
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f1187,plain,
! [T_a] :
( ~ class_Rings_Ocomm__semiring__0(T_a)
| ! [V_h] : c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ),
inference(miniscoping,[status(esa)],[f1186]) ).
fof(f1188,plain,
! [X0,X1] :
( ~ class_Rings_Ocomm__semiring__0(X0)
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
inference(cnf_transformation,[status(esa)],[f1187]) ).
fof(f1234,plain,
! [V_n,T_a] :
( ~ class_Groups_Ozero(T_a)
| c_Polynomial_Omonom(T_a,c_Groups_Ozero__class_Ozero(T_a),V_n) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f1235,plain,
! [T_a] :
( ~ class_Groups_Ozero(T_a)
| ! [V_n] : c_Polynomial_Omonom(T_a,c_Groups_Ozero__class_Ozero(T_a),V_n) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ),
inference(miniscoping,[status(esa)],[f1234]) ).
fof(f1236,plain,
! [X0,X1] :
( ~ class_Groups_Ozero(X0)
| c_Polynomial_Omonom(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
inference(cnf_transformation,[status(esa)],[f1235]) ).
fof(f1253,plain,
! [V_a,T_a] :
( ~ class_Groups_Ozero(T_a)
| c_Polynomial_Omonom(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Polynomial_OpCons(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ),
inference(pre_NNF_transformation,[status(esa)],[f17]) ).
fof(f1254,plain,
! [T_a] :
( ~ class_Groups_Ozero(T_a)
| ! [V_a] : c_Polynomial_Omonom(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Polynomial_OpCons(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ),
inference(miniscoping,[status(esa)],[f1253]) ).
fof(f1255,plain,
! [X0,X1] :
( ~ class_Groups_Ozero(X0)
| c_Polynomial_Omonom(X0,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Polynomial_OpCons(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) ),
inference(cnf_transformation,[status(esa)],[f1254]) ).
fof(f1403,plain,
! [V_a,T_a] :
( ~ class_Groups_Ocomm__monoid__add(T_a)
| c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ),
inference(pre_NNF_transformation,[status(esa)],[f65]) ).
fof(f1404,plain,
! [T_a] :
( ~ class_Groups_Ocomm__monoid__add(T_a)
| ! [V_a] : c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ),
inference(miniscoping,[status(esa)],[f1403]) ).
fof(f1405,plain,
! [X0,X1] :
( ~ class_Groups_Ocomm__monoid__add(X0)
| c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
inference(cnf_transformation,[status(esa)],[f1404]) ).
fof(f1414,plain,
! [V_a,T_a] :
( ~ class_Groups_Ocomm__monoid__add(T_a)
| c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ),
inference(pre_NNF_transformation,[status(esa)],[f68]) ).
fof(f1415,plain,
! [T_a] :
( ~ class_Groups_Ocomm__monoid__add(T_a)
| ! [V_a] : c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ),
inference(miniscoping,[status(esa)],[f1414]) ).
fof(f1416,plain,
! [X0,X1] :
( ~ class_Groups_Ocomm__monoid__add(X0)
| c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1 ),
inference(cnf_transformation,[status(esa)],[f1415]) ).
fof(f1437,plain,
! [V_h,V_p,V_a,T_a] :
( ~ class_Rings_Ocomm__semiring__0(T_a)
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,c_Polynomial_OpCons(T_a,V_a,V_p),V_h) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h)),c_Polynomial_OpCons(T_a,V_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h))) ),
inference(pre_NNF_transformation,[status(esa)],[f77]) ).
fof(f1438,plain,
! [T_a] :
( ~ class_Rings_Ocomm__semiring__0(T_a)
| ! [V_h,V_p,V_a] : c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,c_Polynomial_OpCons(T_a,V_a,V_p),V_h) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h)),c_Polynomial_OpCons(T_a,V_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h))) ),
inference(miniscoping,[status(esa)],[f1437]) ).
fof(f1439,plain,
! [X0,X1,X2,X3] :
( ~ class_Rings_Ocomm__semiring__0(X0)
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,c_Polynomial_OpCons(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X2,X3)),c_Polynomial_OpCons(X0,X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X2,X3))) ),
inference(cnf_transformation,[status(esa)],[f1438]) ).
fof(f4413,plain,
! [T] :
( ~ class_Rings_Ocomm__semiring__0(T)
| class_Groups_Ocomm__monoid__add(T) ),
inference(pre_NNF_transformation,[status(esa)],[f998]) ).
fof(f4414,plain,
! [X0] :
( ~ class_Rings_Ocomm__semiring__0(X0)
| class_Groups_Ocomm__monoid__add(X0) ),
inference(cnf_transformation,[status(esa)],[f4413]) ).
fof(f4425,plain,
! [T] :
( ~ class_Rings_Ocomm__semiring__0(T)
| class_Groups_Ozero(T) ),
inference(pre_NNF_transformation,[status(esa)],[f1004]) ).
fof(f4426,plain,
! [X0] :
( ~ class_Rings_Ocomm__semiring__0(X0)
| class_Groups_Ozero(X0) ),
inference(cnf_transformation,[status(esa)],[f4425]) ).
fof(f4611,plain,
! [T_1] :
( ~ class_Rings_Ocomm__semiring__0(T_1)
| class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1)) ),
inference(pre_NNF_transformation,[status(esa)],[f1147]) ).
fof(f4612,plain,
! [X0] :
( ~ class_Rings_Ocomm__semiring__0(X0)
| class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X0)) ),
inference(cnf_transformation,[status(esa)],[f4611]) ).
fof(f4673,plain,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),v_h) != c_Polynomial_OpCons(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
inference(cnf_transformation,[status(esa)],[f1181]) ).
fof(f4674,plain,
class_Rings_Ocomm__semiring__0(t_a),
inference(cnf_transformation,[status(esa)],[f1182]) ).
fof(f4854,plain,
! [X0] : c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(resolution,[status(thm)],[f1188,f4674]) ).
fof(f4855,plain,
! [X0,X1,X2] : c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X0,X1),X2) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,X1,X2)),c_Polynomial_OpCons(t_a,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,X1,X2))),
inference(resolution,[status(thm)],[f1439,f4674]) ).
fof(f4856,plain,
! [X0,X1] : c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),X1) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Polynomial_OpCons(t_a,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X1))),
inference(paramodulation,[status(thm)],[f4854,f4855]) ).
fof(f4857,plain,
! [X0,X1] : c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),X1) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Polynomial_OpCons(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),
inference(forward_demodulation,[status(thm)],[f4854,f4856]) ).
fof(f4898,plain,
class_Groups_Ozero(t_a),
inference(resolution,[status(thm)],[f4426,f4674]) ).
fof(f4907,plain,
class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(t_a)),
inference(resolution,[status(thm)],[f4612,f4674]) ).
fof(f4939,plain,
class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(t_a)),
inference(resolution,[status(thm)],[f4907,f4414]) ).
fof(f4969,plain,
! [X0] : c_Polynomial_Omonom(t_a,c_Groups_Ozero__class_Ozero(t_a),X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(resolution,[status(thm)],[f4898,f1236]) ).
fof(f5262,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) = X0,
inference(resolution,[status(thm)],[f1405,f4939]) ).
fof(f5282,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X0) = X0,
inference(resolution,[status(thm)],[f1416,f4939]) ).
fof(f5323,plain,
! [X0] : c_Polynomial_Omonom(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Polynomial_OpCons(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
inference(resolution,[status(thm)],[f1255,f4898]) ).
fof(f5425,plain,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),v_h) != c_Polynomial_Omonom(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
inference(backward_demodulation,[status(thm)],[f5323,f4673]) ).
fof(f5426,plain,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_Omonom(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v_h) != c_Polynomial_Omonom(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
inference(forward_demodulation,[status(thm)],[f5323,f5425]) ).
fof(f5427,plain,
! [X0,X1] : c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),X1) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Polynomial_Omonom(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
inference(backward_demodulation,[status(thm)],[f5323,f4857]) ).
fof(f5428,plain,
! [X0,X1] : c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_Omonom(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Polynomial_Omonom(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
inference(forward_demodulation,[status(thm)],[f5323,f5427]) ).
fof(f5635,plain,
! [X0] : c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_Omonom(t_a,c_Groups_Ozero__class_Ozero(t_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
inference(paramodulation,[status(thm)],[f4969,f5428]) ).
fof(f5636,plain,
! [X0] : c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X0) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
inference(forward_demodulation,[status(thm)],[f4969,f5635]) ).
fof(f5637,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
inference(forward_demodulation,[status(thm)],[f4854,f5636]) ).
fof(f5638,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Polynomial_Osmult(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
inference(forward_demodulation,[status(thm)],[f5262,f5637]) ).
fof(f5691,plain,
! [X0,X1] : c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_Omonom(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),c_Polynomial_Omonom(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
inference(backward_demodulation,[status(thm)],[f5638,f5428]) ).
fof(f5692,plain,
! [X0,X1] : c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_Omonom(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) = c_Polynomial_Omonom(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
inference(forward_demodulation,[status(thm)],[f5282,f5691]) ).
fof(f5695,plain,
c_Polynomial_Omonom(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Polynomial_Omonom(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
inference(backward_demodulation,[status(thm)],[f5692,f5426]) ).
fof(f5696,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f5695]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW182+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n025.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 11:08:42 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.39 % Drodi V3.5.1
% 1.17/0.55 % Refutation found
% 1.17/0.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.17/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.17/0.58 % Elapsed time: 0.233214 seconds
% 1.17/0.58 % CPU time: 1.296131 seconds
% 1.17/0.58 % Memory used: 153.562 MB
%------------------------------------------------------------------------------