TSTP Solution File: SWW186+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWW186+1 : TPTP v5.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art07.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Mon Mar 7 00:34:09 EST 2011
% Result : Theorem 152.27s
% Output : Solution 152.27s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP20524/SWW186+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% WARNING: TreeLimitedRun lost 0.58s, total lost is 0.58s
% found
% SZS status THM for /tmp/SystemOnTPTP20524/SWW186+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP20524/SWW186+1.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC time limit is 120s
% TreeLimitedRun: PID is 20720
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.92 CPU 2.02 WC
% PrfWatch: 3.92 CPU 4.03 WC
% PrfWatch: 5.90 CPU 6.03 WC
% PrfWatch: 7.90 CPU 8.04 WC
% PrfWatch: 9.68 CPU 10.04 WC
% PrfWatch: 11.22 CPU 12.05 WC
% PrfWatch: 12.61 CPU 14.05 WC
% PrfWatch: 14.60 CPU 16.05 WC
% PrfWatch: 16.59 CPU 18.06 WC
% # Preprocessing time : 0.203 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 18.58 CPU 20.06 WC
% PrfWatch: 20.57 CPU 22.07 WC
% PrfWatch: 22.57 CPU 24.07 WC
% # SZS output start CNFRefutation.
% fof(4, axiom,![X3]:![X4]:![X5]:![X2]:(class_Rings_Ocomm__semiring__0(X2)=>(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2),c_Polynomial_Osmult(X2,X5,X4),c_Polynomial_OpCons(X2,X3,X4))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))=>X4=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)))),file('/tmp/SRASS.s.p', fact_offset__poly__eq__0__lemma)).
% fof(9, axiom,![X3]:![X2]:(class_Rings_Ocomm__semiring__0(X2)=>c_Polynomial_Osmult(X2,X3,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))),file('/tmp/SRASS.s.p', fact_smult__0__right)).
% fof(11, axiom,(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))=>v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),file('/tmp/SRASS.s.p', conj_0)).
% fof(12, axiom,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)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),file('/tmp/SRASS.s.p', conj_1)).
% fof(13, axiom,class_Rings_Ocomm__semiring__0(t_a),file('/tmp/SRASS.s.p', tfree_0)).
% fof(22, axiom,![X7]:![X2]:(class_Groups_Ocomm__monoid__add(X2)=>c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X7)=X7),file('/tmp/SRASS.s.p', fact_add__poly__code_I1_J)).
% fof(39, axiom,![X3]:![X2]:(class_Groups_Ocomm__monoid__add(X2)=>c_Groups_Oplus__class_Oplus(X2,X3,c_Groups_Ozero__class_Ozero(X2))=X3),file('/tmp/SRASS.s.p', fact_add_Ocomm__neutral)).
% fof(55, axiom,![X19]:![X2]:(class_Rings_Ocomm__semiring__0(X2)=>hAPP(c_Polynomial_Opoly(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))),X19)=c_Groups_Ozero__class_Ozero(X2)),file('/tmp/SRASS.s.p', fact_poly__0)).
% fof(79, axiom,![X19]:![X4]:![X3]:![X2]:(class_Rings_Ocomm__semiring__0(X2)=>hAPP(c_Polynomial_Opoly(X2,c_Polynomial_OpCons(X2,X3,X4)),X19)=c_Groups_Oplus__class_Oplus(X2,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X19),hAPP(c_Polynomial_Opoly(X2,X4),X19)))),file('/tmp/SRASS.s.p', fact_poly__pCons)).
% fof(109, axiom,![X35]:![X32]:(![X36]:hAPP(X32,X36)=hAPP(X35,X36)=>X32=X35),file('/tmp/SRASS.s.p', fact_ext)).
% fof(132, axiom,![X41]:(class_Rings_Ocomm__semiring__0(X41)=>class_Groups_Ozero(X41)),file('/tmp/SRASS.s.p', clrel_Rings_Ocomm__semiring__0__Groups_Ozero)).
% fof(138, axiom,![X41]:(class_Rings_Ocomm__semiring__0(X41)=>class_Groups_Ocomm__monoid__add(X41)),file('/tmp/SRASS.s.p', clrel_Rings_Ocomm__semiring__0__Groups_Ocomm__monoid__add)).
% fof(142, axiom,![X41]:(class_Rings_Ocomm__semiring__0(X41)=>class_Rings_Omult__zero(X41)),file('/tmp/SRASS.s.p', clrel_Rings_Ocomm__semiring__0__Rings_Omult__zero)).
% fof(176, axiom,![X12]:![X2]:(class_Groups_Ozero(X2)=>hAPP(c_Polynomial_Ocoeff(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))),X12)=c_Groups_Ozero__class_Ozero(X2)),file('/tmp/SRASS.s.p', fact_coeff__0)).
% fof(291, axiom,![X3]:![X2]:(class_Rings_Omult__zero(X2)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),c_Groups_Ozero__class_Ozero(X2)),X3)=c_Groups_Ozero__class_Ozero(X2)),file('/tmp/SRASS.s.p', fact_mult__zero__left)).
% fof(299, axiom,![X3]:![X2]:(class_Rings_Omult__zero(X2)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),c_Groups_Ozero__class_Ozero(X2))=c_Groups_Ozero__class_Ozero(X2)),file('/tmp/SRASS.s.p', fact_mult__zero__right)).
% fof(1182, conjecture,(v_a=c_Groups_Ozero__class_Ozero(t_a)&v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),file('/tmp/SRASS.s.p', conj_2)).
% fof(1183, negated_conjecture,~((v_a=c_Groups_Ozero__class_Ozero(t_a)&v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),inference(assume_negation,[status(cth)],[1182])).
% fof(1262, plain,![X3]:![X4]:![X5]:![X2]:(~(class_Rings_Ocomm__semiring__0(X2))|(~(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2),c_Polynomial_Osmult(X2,X5,X4),c_Polynomial_OpCons(X2,X3,X4))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)))|X4=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)))),inference(fof_nnf,[status(thm)],[4])).
% fof(1263, plain,![X6]:![X7]:![X8]:![X9]:(~(class_Rings_Ocomm__semiring__0(X9))|(~(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X9),c_Polynomial_Osmult(X9,X8,X7),c_Polynomial_OpCons(X9,X6,X7))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X9)))|X7=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X9)))),inference(variable_rename,[status(thm)],[1262])).
% cnf(1264,plain,(X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2),c_Polynomial_Osmult(X2,X3,X1),c_Polynomial_OpCons(X2,X4,X1))!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Rings_Ocomm__semiring__0(X2)),inference(split_conjunct,[status(thm)],[1263])).
% fof(1277, plain,![X3]:![X2]:(~(class_Rings_Ocomm__semiring__0(X2))|c_Polynomial_Osmult(X2,X3,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))),inference(fof_nnf,[status(thm)],[9])).
% fof(1278, plain,![X4]:![X5]:(~(class_Rings_Ocomm__semiring__0(X5))|c_Polynomial_Osmult(X5,X4,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))),inference(variable_rename,[status(thm)],[1277])).
% cnf(1279,plain,(c_Polynomial_Osmult(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1)),inference(split_conjunct,[status(thm)],[1278])).
% fof(1283, plain,(~(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))|v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),inference(fof_nnf,[status(thm)],[11])).
% cnf(1284,plain,(v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),inference(split_conjunct,[status(thm)],[1283])).
% cnf(1285,plain,(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)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),inference(split_conjunct,[status(thm)],[12])).
% cnf(1286,plain,(class_Rings_Ocomm__semiring__0(t_a)),inference(split_conjunct,[status(thm)],[13])).
% fof(1317, plain,![X7]:![X2]:(~(class_Groups_Ocomm__monoid__add(X2))|c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X7)=X7),inference(fof_nnf,[status(thm)],[22])).
% fof(1318, plain,![X8]:![X9]:(~(class_Groups_Ocomm__monoid__add(X9))|c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X9),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X9)),X8)=X8),inference(variable_rename,[status(thm)],[1317])).
% cnf(1319,plain,(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2)=X2|~class_Groups_Ocomm__monoid__add(X1)),inference(split_conjunct,[status(thm)],[1318])).
% fof(1367, plain,![X3]:![X2]:(~(class_Groups_Ocomm__monoid__add(X2))|c_Groups_Oplus__class_Oplus(X2,X3,c_Groups_Ozero__class_Ozero(X2))=X3),inference(fof_nnf,[status(thm)],[39])).
% fof(1368, plain,![X4]:![X5]:(~(class_Groups_Ocomm__monoid__add(X5))|c_Groups_Oplus__class_Oplus(X5,X4,c_Groups_Ozero__class_Ozero(X5))=X4),inference(variable_rename,[status(thm)],[1367])).
% cnf(1369,plain,(c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1))=X2|~class_Groups_Ocomm__monoid__add(X1)),inference(split_conjunct,[status(thm)],[1368])).
% fof(1422, plain,![X19]:![X2]:(~(class_Rings_Ocomm__semiring__0(X2))|hAPP(c_Polynomial_Opoly(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))),X19)=c_Groups_Ozero__class_Ozero(X2)),inference(fof_nnf,[status(thm)],[55])).
% fof(1423, plain,![X20]:![X21]:(~(class_Rings_Ocomm__semiring__0(X21))|hAPP(c_Polynomial_Opoly(X21,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X21))),X20)=c_Groups_Ozero__class_Ozero(X21)),inference(variable_rename,[status(thm)],[1422])).
% cnf(1424,plain,(hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Ocomm__semiring__0(X1)),inference(split_conjunct,[status(thm)],[1423])).
% fof(1500, plain,![X19]:![X4]:![X3]:![X2]:(~(class_Rings_Ocomm__semiring__0(X2))|hAPP(c_Polynomial_Opoly(X2,c_Polynomial_OpCons(X2,X3,X4)),X19)=c_Groups_Oplus__class_Oplus(X2,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X19),hAPP(c_Polynomial_Opoly(X2,X4),X19)))),inference(fof_nnf,[status(thm)],[79])).
% fof(1501, plain,![X20]:![X21]:![X22]:![X23]:(~(class_Rings_Ocomm__semiring__0(X23))|hAPP(c_Polynomial_Opoly(X23,c_Polynomial_OpCons(X23,X22,X21)),X20)=c_Groups_Oplus__class_Oplus(X23,X22,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X23),X20),hAPP(c_Polynomial_Opoly(X23,X21),X20)))),inference(variable_rename,[status(thm)],[1500])).
% cnf(1502,plain,(hAPP(c_Polynomial_Opoly(X1,c_Polynomial_OpCons(X1,X2,X3)),X4)=c_Groups_Oplus__class_Oplus(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),hAPP(c_Polynomial_Opoly(X1,X3),X4)))|~class_Rings_Ocomm__semiring__0(X1)),inference(split_conjunct,[status(thm)],[1501])).
% fof(1612, plain,![X35]:![X32]:(?[X36]:~(hAPP(X32,X36)=hAPP(X35,X36))|X32=X35),inference(fof_nnf,[status(thm)],[109])).
% fof(1613, plain,![X37]:![X38]:(?[X39]:~(hAPP(X38,X39)=hAPP(X37,X39))|X38=X37),inference(variable_rename,[status(thm)],[1612])).
% fof(1614, plain,![X37]:![X38]:(~(hAPP(X38,esk1_2(X37,X38))=hAPP(X37,esk1_2(X37,X38)))|X38=X37),inference(skolemize,[status(esa)],[1613])).
% cnf(1615,plain,(X1=X2|hAPP(X1,esk1_2(X2,X1))!=hAPP(X2,esk1_2(X2,X1))),inference(split_conjunct,[status(thm)],[1614])).
% fof(1701, plain,![X41]:(~(class_Rings_Ocomm__semiring__0(X41))|class_Groups_Ozero(X41)),inference(fof_nnf,[status(thm)],[132])).
% fof(1702, plain,![X42]:(~(class_Rings_Ocomm__semiring__0(X42))|class_Groups_Ozero(X42)),inference(variable_rename,[status(thm)],[1701])).
% cnf(1703,plain,(class_Groups_Ozero(X1)|~class_Rings_Ocomm__semiring__0(X1)),inference(split_conjunct,[status(thm)],[1702])).
% fof(1719, plain,![X41]:(~(class_Rings_Ocomm__semiring__0(X41))|class_Groups_Ocomm__monoid__add(X41)),inference(fof_nnf,[status(thm)],[138])).
% fof(1720, plain,![X42]:(~(class_Rings_Ocomm__semiring__0(X42))|class_Groups_Ocomm__monoid__add(X42)),inference(variable_rename,[status(thm)],[1719])).
% cnf(1721,plain,(class_Groups_Ocomm__monoid__add(X1)|~class_Rings_Ocomm__semiring__0(X1)),inference(split_conjunct,[status(thm)],[1720])).
% fof(1731, plain,![X41]:(~(class_Rings_Ocomm__semiring__0(X41))|class_Rings_Omult__zero(X41)),inference(fof_nnf,[status(thm)],[142])).
% fof(1732, plain,![X42]:(~(class_Rings_Ocomm__semiring__0(X42))|class_Rings_Omult__zero(X42)),inference(variable_rename,[status(thm)],[1731])).
% cnf(1733,plain,(class_Rings_Omult__zero(X1)|~class_Rings_Ocomm__semiring__0(X1)),inference(split_conjunct,[status(thm)],[1732])).
% fof(1847, plain,![X12]:![X2]:(~(class_Groups_Ozero(X2))|hAPP(c_Polynomial_Ocoeff(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))),X12)=c_Groups_Ozero__class_Ozero(X2)),inference(fof_nnf,[status(thm)],[176])).
% fof(1848, plain,![X13]:![X14]:(~(class_Groups_Ozero(X14))|hAPP(c_Polynomial_Ocoeff(X14,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X14))),X13)=c_Groups_Ozero__class_Ozero(X14)),inference(variable_rename,[status(thm)],[1847])).
% cnf(1849,plain,(hAPP(c_Polynomial_Ocoeff(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ozero(X1)),inference(split_conjunct,[status(thm)],[1848])).
% fof(2236, plain,![X3]:![X2]:(~(class_Rings_Omult__zero(X2))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),c_Groups_Ozero__class_Ozero(X2)),X3)=c_Groups_Ozero__class_Ozero(X2)),inference(fof_nnf,[status(thm)],[291])).
% fof(2237, plain,![X4]:![X5]:(~(class_Rings_Omult__zero(X5))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ozero__class_Ozero(X5)),X4)=c_Groups_Ozero__class_Ozero(X5)),inference(variable_rename,[status(thm)],[2236])).
% cnf(2238,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Omult__zero(X1)),inference(split_conjunct,[status(thm)],[2237])).
% fof(2263, plain,![X3]:![X2]:(~(class_Rings_Omult__zero(X2))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),c_Groups_Ozero__class_Ozero(X2))=c_Groups_Ozero__class_Ozero(X2)),inference(fof_nnf,[status(thm)],[299])).
% fof(2264, plain,![X4]:![X5]:(~(class_Rings_Omult__zero(X5))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),c_Groups_Ozero__class_Ozero(X5))=c_Groups_Ozero__class_Ozero(X5)),inference(variable_rename,[status(thm)],[2263])).
% cnf(2265,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Omult__zero(X1)),inference(split_conjunct,[status(thm)],[2264])).
% fof(5085, negated_conjecture,(~(v_a=c_Groups_Ozero__class_Ozero(t_a))|~(v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),inference(fof_nnf,[status(thm)],[1183])).
% cnf(5086,negated_conjecture,(v_p!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))|v_a!=c_Groups_Ozero__class_Ozero(t_a)),inference(split_conjunct,[status(thm)],[5085])).
% cnf(5325,plain,(c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1))=X2|~class_Rings_Ocomm__semiring__0(X1)),inference(spm,[status(thm)],[1369,1721,theory(equality)])).
% cnf(5406,plain,(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2)=X2|~class_Rings_Ocomm__semiring__0(X1)),inference(spm,[status(thm)],[1319,1721,theory(equality)])).
% cnf(5966,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Ocomm__semiring__0(X1)),inference(spm,[status(thm)],[2265,1733,theory(equality)])).
% cnf(5976,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Ocomm__semiring__0(X1)),inference(spm,[status(thm)],[2238,1733,theory(equality)])).
% cnf(7677,plain,(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))=c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)|~class_Rings_Ocomm__semiring__0(t_a)),inference(spm,[status(thm)],[1264,1285,theory(equality)])).
% cnf(7678,plain,(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))=c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)|$false),inference(rw,[status(thm)],[7677,1286,theory(equality)])).
% cnf(7679,plain,(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))=c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),inference(cn,[status(thm)],[7678,theory(equality)])).
% cnf(54385,plain,(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,v_h,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Polynomial_OpCons(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1285,7679,theory(equality)]),7679,theory(equality)])).
% cnf(54386,plain,(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))=v_p|$false),inference(rw,[status(thm)],[1284,7679,theory(equality)])).
% cnf(54387,plain,(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))=v_p),inference(cn,[status(thm)],[54386,theory(equality)])).
% cnf(54449,plain,(hAPP(c_Polynomial_Opoly(t_a,v_p),X1)=c_Groups_Ozero__class_Ozero(t_a)|~class_Rings_Ocomm__semiring__0(t_a)),inference(spm,[status(thm)],[1424,54387,theory(equality)])).
% cnf(54450,plain,(hAPP(c_Polynomial_Ocoeff(t_a,v_p),X1)=c_Groups_Ozero__class_Ozero(t_a)|~class_Groups_Ozero(t_a)),inference(spm,[status(thm)],[1849,54387,theory(equality)])).
% cnf(54451,plain,(c_Polynomial_Osmult(t_a,X1,v_p)=v_p|~class_Rings_Ocomm__semiring__0(t_a)),inference(spm,[status(thm)],[1279,54387,theory(equality)])).
% cnf(54482,negated_conjecture,($false|c_Groups_Ozero__class_Ozero(t_a)!=v_a),inference(rw,[status(thm)],[5086,54387,theory(equality)])).
% cnf(54483,negated_conjecture,(c_Groups_Ozero__class_Ozero(t_a)!=v_a),inference(cn,[status(thm)],[54482,theory(equality)])).
% cnf(54484,plain,(hAPP(c_Polynomial_Opoly(t_a,v_p),X1)=c_Groups_Ozero__class_Ozero(t_a)|$false),inference(rw,[status(thm)],[54449,1286,theory(equality)])).
% cnf(54485,plain,(hAPP(c_Polynomial_Opoly(t_a,v_p),X1)=c_Groups_Ozero__class_Ozero(t_a)),inference(cn,[status(thm)],[54484,theory(equality)])).
% cnf(54486,plain,(c_Polynomial_Osmult(t_a,X1,v_p)=v_p|$false),inference(rw,[status(thm)],[54451,1286,theory(equality)])).
% cnf(54487,plain,(c_Polynomial_Osmult(t_a,X1,v_p)=v_p),inference(cn,[status(thm)],[54486,theory(equality)])).
% cnf(54928,plain,(c_Polynomial_Opoly(t_a,v_p)=X1|c_Groups_Ozero__class_Ozero(t_a)!=hAPP(X1,esk1_2(X1,c_Polynomial_Opoly(t_a,v_p)))),inference(spm,[status(thm)],[1615,54485,theory(equality)])).
% cnf(57924,plain,(hAPP(c_Polynomial_Ocoeff(t_a,v_p),X1)=c_Groups_Ozero__class_Ozero(t_a)|~class_Rings_Ocomm__semiring__0(t_a)),inference(spm,[status(thm)],[54450,1703,theory(equality)])).
% cnf(57925,plain,(hAPP(c_Polynomial_Ocoeff(t_a,v_p),X1)=c_Groups_Ozero__class_Ozero(t_a)|$false),inference(rw,[status(thm)],[57924,1286,theory(equality)])).
% cnf(57926,plain,(hAPP(c_Polynomial_Ocoeff(t_a,v_p),X1)=c_Groups_Ozero__class_Ozero(t_a)),inference(cn,[status(thm)],[57925,theory(equality)])).
% cnf(57930,plain,(X1=c_Polynomial_Ocoeff(t_a,v_p)|hAPP(X1,esk1_2(c_Polynomial_Ocoeff(t_a,v_p),X1))!=c_Groups_Ozero__class_Ozero(t_a)),inference(spm,[status(thm)],[1615,57926,theory(equality)])).
% cnf(58737,plain,(c_Groups_Oplus__class_Oplus(t_a,X1,c_Groups_Ozero__class_Ozero(t_a))=X1),inference(spm,[status(thm)],[5325,1286,theory(equality)])).
% cnf(63678,plain,(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),v_p,X1)=X1|~class_Rings_Ocomm__semiring__0(t_a)),inference(spm,[status(thm)],[5406,54387,theory(equality)])).
% cnf(63682,plain,(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),v_p,X1)=X1|$false),inference(rw,[status(thm)],[63678,1286,theory(equality)])).
% cnf(63683,plain,(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),v_p,X1)=X1),inference(cn,[status(thm)],[63682,theory(equality)])).
% cnf(64550,plain,(c_Polynomial_Opoly(t_a,v_p)=c_Polynomial_Ocoeff(t_a,v_p)),inference(spm,[status(thm)],[54928,57926,theory(equality)])).
% cnf(79524,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),X1),c_Groups_Ozero__class_Ozero(t_a))=c_Groups_Ozero__class_Ozero(t_a)),inference(spm,[status(thm)],[5966,1286,theory(equality)])).
% cnf(80105,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),c_Groups_Ozero__class_Ozero(t_a)),X1)=c_Groups_Ozero__class_Ozero(t_a)),inference(spm,[status(thm)],[5976,1286,theory(equality)])).
% cnf(80112,plain,(hAPP(c_Groups_Otimes__class_Otimes(t_a),c_Groups_Ozero__class_Ozero(t_a))=c_Polynomial_Ocoeff(t_a,v_p)),inference(spm,[status(thm)],[57930,80105,theory(equality)])).
% cnf(376578,plain,(c_Polynomial_OpCons(t_a,v_a,v_p)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[54385,54387,theory(equality)]),54487,theory(equality)]),54387,theory(equality)]),63683,theory(equality)])).
% cnf(376579,plain,(c_Polynomial_OpCons(t_a,v_a,v_p)=v_p),inference(rw,[status(thm)],[376578,54387,theory(equality)])).
% cnf(376603,plain,(c_Groups_Oplus__class_Oplus(t_a,v_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),X1),hAPP(c_Polynomial_Opoly(t_a,v_p),X1)))=hAPP(c_Polynomial_Opoly(t_a,v_p),X1)|~class_Rings_Ocomm__semiring__0(t_a)),inference(spm,[status(thm)],[1502,376579,theory(equality)])).
% cnf(376678,plain,(v_a=hAPP(c_Polynomial_Opoly(t_a,v_p),X1)|~class_Rings_Ocomm__semiring__0(t_a)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[376603,64550,theory(equality)]),80112,theory(equality)]),80105,theory(equality)]),79524,theory(equality)]),58737,theory(equality)])).
% cnf(376679,plain,(v_a=c_Groups_Ozero__class_Ozero(t_a)|~class_Rings_Ocomm__semiring__0(t_a)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[376678,64550,theory(equality)]),80112,theory(equality)]),80105,theory(equality)])).
% cnf(376680,plain,(v_a=c_Groups_Ozero__class_Ozero(t_a)|$false),inference(rw,[status(thm)],[376679,1286,theory(equality)])).
% cnf(376681,plain,(v_a=c_Groups_Ozero__class_Ozero(t_a)),inference(cn,[status(thm)],[376680,theory(equality)])).
% cnf(376682,plain,($false),inference(sr,[status(thm)],[376681,54483,theory(equality)])).
% cnf(376683,plain,($false),376682,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 38779
% # ...of these trivial : 1240
% # ...subsumed : 33032
% # ...remaining for further processing: 4507
% # Other redundant clauses eliminated : 543
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 193
% # Backward-rewritten : 70
% # Generated clauses : 211318
% # ...of the previous two non-trivial : 191320
% # Contextual simplify-reflections : 29484
% # Paramodulations : 210651
% # Factorizations : 12
% # Equation resolutions : 655
% # Current number of processed clauses: 4204
% # Positive orientable unit clauses: 354
% # Positive unorientable unit clauses: 13
% # Negative unit clauses : 61
% # Non-unit-clauses : 3776
% # Current number of unprocessed clauses: 147801
% # ...number of literals in the above : 504012
% # Clause-clause subsumption calls (NU) : 1144090
% # Rec. Clause-clause subsumption calls : 882516
% # Unit Clause-clause subsumption calls : 3336
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 4360
% # Indexed BW rewrite successes : 142
% # Backwards rewriting index: 1379 leaves, 2.70+/-6.187 terms/leaf
% # Paramod-from index: 767 leaves, 1.96+/-3.326 terms/leaf
% # Paramod-into index: 1215 leaves, 2.42+/-5.340 terms/leaf
% # -------------------------------------------------
% # User time : 17.084 s
% # System time : 0.373 s
% # Total time : 17.457 s
% # Maximum resident set size: 0 pages
% PrfWatch: 22.85 CPU 24.36 WC
% FINAL PrfWatch: 22.85 CPU 24.36 WC
% SZS output end Solution for /tmp/SystemOnTPTP20524/SWW186+1.tptp
%
%------------------------------------------------------------------------------