TSTP Solution File: SWW247+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWW247+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 : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Mon Mar 7 01:36:47 EST 2011
% Result : Theorem 143.86s
% Output : Solution 143.86s
% 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/SystemOnTPTP25271/SWW247+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/SystemOnTPTP25271/SWW247+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP25271/SWW247+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 25526
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.95 CPU 2.03 WC
% PrfWatch: 3.94 CPU 4.03 WC
% # Preprocessing time : 0.227 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 5.94 CPU 6.04 WC
% PrfWatch: 7.94 CPU 8.05 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:(![X3]:hAPP(X2,X3)=hAPP(X1,X3)=>X2=X1),file('/tmp/SRASS.s.p', fact_ext)).
% fof(2, axiom,class_Rings_Oidom(t_a),file('/tmp/SRASS.s.p', tfree_0)).
% fof(3, axiom,(class_Rings_Oidom(t_a)=>![X4]:(~(X4=c_Groups_Ozero__class_Ozero(t_a))=>hAPP(c_Polynomial_Opoly(t_a,v_cs____),X4)=c_Groups_Ozero__class_Ozero(t_a))),file('/tmp/SRASS.s.p', fact_C)).
% fof(12, axiom,![X17]:![X10]:![X15]:![X11]:(class_Rings_Ocomm__semiring__0(X11)=>hAPP(c_Polynomial_Opoly(X11,hAPP(hAPP(c_Polynomial_OpCons(X11),X15),X10)),X17)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X11),X15),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),X17),hAPP(c_Polynomial_Opoly(X11,X10),X17)))),file('/tmp/SRASS.s.p', fact_poly__pCons)).
% fof(15, axiom,![X20]:(class_Rings_Oidom(X20)=>class_Rings_Ocomm__semiring__1(X20)),file('/tmp/SRASS.s.p', clrel_Rings_Oidom__Rings_Ocomm__semiring__1)).
% fof(16, axiom,![X20]:(class_Rings_Oidom(X20)=>class_Rings_Ocomm__semiring__0(X20)),file('/tmp/SRASS.s.p', clrel_Rings_Oidom__Rings_Ocomm__semiring__0)).
% fof(18, axiom,![X20]:(class_Rings_Oidom(X20)=>class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X20)),file('/tmp/SRASS.s.p', clrel_Rings_Oidom__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct)).
% fof(171, axiom,![X18]:![X19]:((X19=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=>hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X19),X18)=X18)&(~(X19=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=>hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X19),X18)=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X19),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X18)))),file('/tmp/SRASS.s.p', fact_add__eq__if)).
% fof(260, axiom,![X25]:![X61]:![X62]:![X7]:hAPP(c_Nat_Onat_Onat__case(X7,X62,X61),hAPP(c_Nat_OSuc,X25))=hAPP(X61,X25),file('/tmp/SRASS.s.p', fact_nat__case__Suc)).
% fof(449, axiom,![X18]:hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X18)=X18,file('/tmp/SRASS.s.p', fact_plus__nat_Oadd__0)).
% fof(567, axiom,![X18]:![X19]:hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X19),hAPP(c_Nat_OSuc,X18))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X19),X18)),file('/tmp/SRASS.s.p', fact_add__Suc__right)).
% fof(619, axiom,![X15]:![X11]:(class_Rings_Ocomm__semiring__1(X11)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),X15),c_Groups_Ozero__class_Ozero(X11))=c_Groups_Ozero__class_Ozero(X11)),file('/tmp/SRASS.s.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J)).
% fof(623, axiom,![X15]:![X11]:(class_Rings_Ocomm__semiring__1(X11)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),c_Groups_Ozero__class_Ozero(X11)),X15)=c_Groups_Ozero__class_Ozero(X11)),file('/tmp/SRASS.s.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J)).
% fof(625, axiom,![X9]:![X8]:![X7]:(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X7)=>(X8=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X7),X8),X9)<=>X9=c_Groups_Ozero__class_Ozero(X7))),file('/tmp/SRASS.s.p', fact_add__0__iff)).
% fof(626, axiom,![X15]:![X11]:(class_Rings_Ocomm__semiring__1(X11)=>hAPP(hAPP(c_Groups_Oplus__class_Oplus(X11),X15),c_Groups_Ozero__class_Ozero(X11))=X15),file('/tmp/SRASS.s.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J)).
% fof(627, axiom,![X15]:![X11]:(class_Rings_Ocomm__semiring__1(X11)=>hAPP(hAPP(c_Groups_Oplus__class_Oplus(X11),c_Groups_Ozero__class_Ozero(X11)),X15)=X15),file('/tmp/SRASS.s.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J)).
% fof(1214, conjecture,hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_x____)=hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_y____),file('/tmp/SRASS.s.p', conj_0)).
% fof(1215, negated_conjecture,~(hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_x____)=hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_y____)),inference(assume_negation,[status(cth)],[1214])).
% fof(1306, negated_conjecture,~(hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_x____)=hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_y____)),inference(fof_simplification,[status(thm)],[1215,theory(equality)])).
% fof(1307, plain,![X1]:![X2]:(?[X3]:~(hAPP(X2,X3)=hAPP(X1,X3))|X2=X1),inference(fof_nnf,[status(thm)],[1])).
% fof(1308, plain,![X4]:![X5]:(?[X6]:~(hAPP(X5,X6)=hAPP(X4,X6))|X5=X4),inference(variable_rename,[status(thm)],[1307])).
% fof(1309, plain,![X4]:![X5]:(~(hAPP(X5,esk1_2(X4,X5))=hAPP(X4,esk1_2(X4,X5)))|X5=X4),inference(skolemize,[status(esa)],[1308])).
% cnf(1310,plain,(X1=X2|hAPP(X1,esk1_2(X2,X1))!=hAPP(X2,esk1_2(X2,X1))),inference(split_conjunct,[status(thm)],[1309])).
% cnf(1311,plain,(class_Rings_Oidom(t_a)),inference(split_conjunct,[status(thm)],[2])).
% fof(1312, plain,(~(class_Rings_Oidom(t_a))|![X4]:(X4=c_Groups_Ozero__class_Ozero(t_a)|hAPP(c_Polynomial_Opoly(t_a,v_cs____),X4)=c_Groups_Ozero__class_Ozero(t_a))),inference(fof_nnf,[status(thm)],[3])).
% fof(1313, plain,(~(class_Rings_Oidom(t_a))|![X5]:(X5=c_Groups_Ozero__class_Ozero(t_a)|hAPP(c_Polynomial_Opoly(t_a,v_cs____),X5)=c_Groups_Ozero__class_Ozero(t_a))),inference(variable_rename,[status(thm)],[1312])).
% fof(1314, plain,![X5]:((X5=c_Groups_Ozero__class_Ozero(t_a)|hAPP(c_Polynomial_Opoly(t_a,v_cs____),X5)=c_Groups_Ozero__class_Ozero(t_a))|~(class_Rings_Oidom(t_a))),inference(shift_quantors,[status(thm)],[1313])).
% cnf(1315,plain,(hAPP(c_Polynomial_Opoly(t_a,v_cs____),X1)=c_Groups_Ozero__class_Ozero(t_a)|X1=c_Groups_Ozero__class_Ozero(t_a)|~class_Rings_Oidom(t_a)),inference(split_conjunct,[status(thm)],[1314])).
% fof(1342, plain,![X17]:![X10]:![X15]:![X11]:(~(class_Rings_Ocomm__semiring__0(X11))|hAPP(c_Polynomial_Opoly(X11,hAPP(hAPP(c_Polynomial_OpCons(X11),X15),X10)),X17)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X11),X15),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),X17),hAPP(c_Polynomial_Opoly(X11,X10),X17)))),inference(fof_nnf,[status(thm)],[12])).
% fof(1343, plain,![X18]:![X19]:![X20]:![X21]:(~(class_Rings_Ocomm__semiring__0(X21))|hAPP(c_Polynomial_Opoly(X21,hAPP(hAPP(c_Polynomial_OpCons(X21),X20),X19)),X18)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X21),X20),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X21),X18),hAPP(c_Polynomial_Opoly(X21,X19),X18)))),inference(variable_rename,[status(thm)],[1342])).
% cnf(1344,plain,(hAPP(c_Polynomial_Opoly(X1,hAPP(hAPP(c_Polynomial_OpCons(X1),X2),X3)),X4)=hAPP(hAPP(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)],[1343])).
% fof(1354, plain,![X20]:(~(class_Rings_Oidom(X20))|class_Rings_Ocomm__semiring__1(X20)),inference(fof_nnf,[status(thm)],[15])).
% fof(1355, plain,![X21]:(~(class_Rings_Oidom(X21))|class_Rings_Ocomm__semiring__1(X21)),inference(variable_rename,[status(thm)],[1354])).
% cnf(1356,plain,(class_Rings_Ocomm__semiring__1(X1)|~class_Rings_Oidom(X1)),inference(split_conjunct,[status(thm)],[1355])).
% fof(1357, plain,![X20]:(~(class_Rings_Oidom(X20))|class_Rings_Ocomm__semiring__0(X20)),inference(fof_nnf,[status(thm)],[16])).
% fof(1358, plain,![X21]:(~(class_Rings_Oidom(X21))|class_Rings_Ocomm__semiring__0(X21)),inference(variable_rename,[status(thm)],[1357])).
% cnf(1359,plain,(class_Rings_Ocomm__semiring__0(X1)|~class_Rings_Oidom(X1)),inference(split_conjunct,[status(thm)],[1358])).
% fof(1365, plain,![X20]:(~(class_Rings_Oidom(X20))|class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X20)),inference(fof_nnf,[status(thm)],[18])).
% fof(1366, plain,![X21]:(~(class_Rings_Oidom(X21))|class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X21)),inference(variable_rename,[status(thm)],[1365])).
% cnf(1367,plain,(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)|~class_Rings_Oidom(X1)),inference(split_conjunct,[status(thm)],[1366])).
% fof(1878, plain,![X18]:![X19]:((~(X19=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X19),X18)=X18)&(X19=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X19),X18)=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X19),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X18)))),inference(fof_nnf,[status(thm)],[171])).
% fof(1879, plain,![X20]:![X21]:((~(X21=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X21),X20)=X20)&(X21=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X21),X20)=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X21),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X20)))),inference(variable_rename,[status(thm)],[1878])).
% cnf(1881,plain,(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)=X2|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),inference(split_conjunct,[status(thm)],[1879])).
% fof(2186, plain,![X63]:![X64]:![X65]:![X66]:hAPP(c_Nat_Onat_Onat__case(X66,X65,X64),hAPP(c_Nat_OSuc,X63))=hAPP(X64,X63),inference(variable_rename,[status(thm)],[260])).
% cnf(2187,plain,(hAPP(c_Nat_Onat_Onat__case(X1,X2,X3),hAPP(c_Nat_OSuc,X4))=hAPP(X3,X4)),inference(split_conjunct,[status(thm)],[2186])).
% fof(2732, plain,![X19]:hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X19)=X19,inference(variable_rename,[status(thm)],[449])).
% cnf(2733,plain,(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)=X1),inference(split_conjunct,[status(thm)],[2732])).
% fof(3106, plain,![X20]:![X21]:hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X21),hAPP(c_Nat_OSuc,X20))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X21),X20)),inference(variable_rename,[status(thm)],[567])).
% cnf(3107,plain,(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))),inference(split_conjunct,[status(thm)],[3106])).
% fof(3259, plain,![X15]:![X11]:(~(class_Rings_Ocomm__semiring__1(X11))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),X15),c_Groups_Ozero__class_Ozero(X11))=c_Groups_Ozero__class_Ozero(X11)),inference(fof_nnf,[status(thm)],[619])).
% fof(3260, plain,![X16]:![X17]:(~(class_Rings_Ocomm__semiring__1(X17))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X17),X16),c_Groups_Ozero__class_Ozero(X17))=c_Groups_Ozero__class_Ozero(X17)),inference(variable_rename,[status(thm)],[3259])).
% cnf(3261,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__1(X1)),inference(split_conjunct,[status(thm)],[3260])).
% fof(3271, plain,![X15]:![X11]:(~(class_Rings_Ocomm__semiring__1(X11))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X11),c_Groups_Ozero__class_Ozero(X11)),X15)=c_Groups_Ozero__class_Ozero(X11)),inference(fof_nnf,[status(thm)],[623])).
% fof(3272, plain,![X16]:![X17]:(~(class_Rings_Ocomm__semiring__1(X17))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X17),c_Groups_Ozero__class_Ozero(X17)),X16)=c_Groups_Ozero__class_Ozero(X17)),inference(variable_rename,[status(thm)],[3271])).
% cnf(3273,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__1(X1)),inference(split_conjunct,[status(thm)],[3272])).
% fof(3277, plain,![X9]:![X8]:![X7]:(~(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X7))|((~(X8=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X7),X8),X9))|X9=c_Groups_Ozero__class_Ozero(X7))&(~(X9=c_Groups_Ozero__class_Ozero(X7))|X8=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X7),X8),X9)))),inference(fof_nnf,[status(thm)],[625])).
% fof(3278, plain,![X10]:![X11]:![X12]:(~(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X12))|((~(X11=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X12),X11),X10))|X10=c_Groups_Ozero__class_Ozero(X12))&(~(X10=c_Groups_Ozero__class_Ozero(X12))|X11=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X12),X11),X10)))),inference(variable_rename,[status(thm)],[3277])).
% fof(3279, plain,![X10]:![X11]:![X12]:(((~(X11=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X12),X11),X10))|X10=c_Groups_Ozero__class_Ozero(X12))|~(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X12)))&((~(X10=c_Groups_Ozero__class_Ozero(X12))|X11=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X12),X11),X10))|~(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X12)))),inference(distribute,[status(thm)],[3278])).
% cnf(3280,plain,(X2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)|X3!=c_Groups_Ozero__class_Ozero(X1)),inference(split_conjunct,[status(thm)],[3279])).
% fof(3282, plain,![X15]:![X11]:(~(class_Rings_Ocomm__semiring__1(X11))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X11),X15),c_Groups_Ozero__class_Ozero(X11))=X15),inference(fof_nnf,[status(thm)],[626])).
% fof(3283, plain,![X16]:![X17]:(~(class_Rings_Ocomm__semiring__1(X17))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X17),X16),c_Groups_Ozero__class_Ozero(X17))=X16),inference(variable_rename,[status(thm)],[3282])).
% cnf(3284,plain,(hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Ozero__class_Ozero(X1))=X2|~class_Rings_Ocomm__semiring__1(X1)),inference(split_conjunct,[status(thm)],[3283])).
% fof(3285, plain,![X15]:![X11]:(~(class_Rings_Ocomm__semiring__1(X11))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X11),c_Groups_Ozero__class_Ozero(X11)),X15)=X15),inference(fof_nnf,[status(thm)],[627])).
% fof(3286, plain,![X16]:![X17]:(~(class_Rings_Ocomm__semiring__1(X17))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X17),c_Groups_Ozero__class_Ozero(X17)),X16)=X16),inference(variable_rename,[status(thm)],[3285])).
% cnf(3287,plain,(hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=X2|~class_Rings_Ocomm__semiring__1(X1)),inference(split_conjunct,[status(thm)],[3286])).
% cnf(5270,negated_conjecture,(hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_x____)!=hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_y____)),inference(split_conjunct,[status(thm)],[1306])).
% cnf(5313,plain,(c_Groups_Ozero__class_Ozero(t_a)=X1|hAPP(c_Polynomial_Opoly(t_a,v_cs____),X1)=c_Groups_Ozero__class_Ozero(t_a)|$false),inference(rw,[status(thm)],[1315,1311,theory(equality)])).
% cnf(5314,plain,(c_Groups_Ozero__class_Ozero(t_a)=X1|hAPP(c_Polynomial_Opoly(t_a,v_cs____),X1)=c_Groups_Ozero__class_Ozero(t_a)),inference(cn,[status(thm)],[5313,theory(equality)])).
% cnf(5435,plain,(X1=hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|hAPP(X1,esk1_2(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))!=esk1_2(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),inference(spm,[status(thm)],[1310,2733,theory(equality)])).
% cnf(5601,plain,(hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Ozero__class_Ozero(X1))=X2|~class_Rings_Oidom(X1)),inference(spm,[status(thm)],[3284,1356,theory(equality)])).
% cnf(5702,plain,(hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=X2|~class_Rings_Oidom(X1)),inference(spm,[status(thm)],[3287,1356,theory(equality)])).
% cnf(6305,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Oidom(X1)),inference(spm,[status(thm)],[3261,1356,theory(equality)])).
% cnf(6314,plain,(hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)=X2|c_Groups_Ozero__class_Ozero(X1)!=X3|~class_Rings_Oidom(X1)),inference(spm,[status(thm)],[3280,1367,theory(equality)])).
% cnf(6323,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Oidom(X1)),inference(spm,[status(thm)],[3273,1356,theory(equality)])).
% cnf(35238,negated_conjecture,(hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_x____),hAPP(c_Polynomial_Opoly(t_a,v_cs____),v_x____)))!=hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_y____)|~class_Rings_Ocomm__semiring__0(t_a)),inference(spm,[status(thm)],[5270,1344,theory(equality)])).
% cnf(85223,negated_conjecture,(hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_y____),hAPP(c_Polynomial_Opoly(t_a,v_cs____),v_y____)))!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_x____),hAPP(c_Polynomial_Opoly(t_a,v_cs____),v_x____)))|~class_Rings_Ocomm__semiring__0(t_a)),inference(spm,[status(thm)],[35238,1344,theory(equality)])).
% cnf(88646,negated_conjecture,(c_Groups_Ozero__class_Ozero(t_a)=v_x____|hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_x____),c_Groups_Ozero__class_Ozero(t_a)))!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_y____),hAPP(c_Polynomial_Opoly(t_a,v_cs____),v_y____)))|~class_Rings_Ocomm__semiring__0(t_a)),inference(spm,[status(thm)],[85223,5314,theory(equality)])).
% cnf(109697,plain,(hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),X1),c_Groups_Ozero__class_Ozero(t_a))=X1),inference(spm,[status(thm)],[5601,1311,theory(equality)])).
% cnf(112827,plain,(hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),c_Groups_Ozero__class_Ozero(t_a)),X1)=X1),inference(spm,[status(thm)],[5702,1311,theory(equality)])).
% cnf(112848,plain,(hAPP(c_Groups_Oplus__class_Oplus(t_a),c_Groups_Ozero__class_Ozero(t_a))=hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),inference(spm,[status(thm)],[5435,112827,theory(equality)])).
% cnf(139698,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)],[6305,1311,theory(equality)])).
% cnf(139874,negated_conjecture,(c_Groups_Ozero__class_Ozero(t_a)=v_x____|hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_y____),hAPP(c_Polynomial_Opoly(t_a,v_cs____),v_y____)))!=v_c____|~class_Rings_Ocomm__semiring__0(t_a)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[88646,139698,theory(equality)]),109697,theory(equality)])).
% cnf(140021,negated_conjecture,(c_Groups_Ozero__class_Ozero(t_a)=v_x____|c_Groups_Ozero__class_Ozero(t_a)=v_y____|hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_y____),c_Groups_Ozero__class_Ozero(t_a)))!=v_c____|~class_Rings_Ocomm__semiring__0(t_a)),inference(spm,[status(thm)],[139874,5314,theory(equality)])).
% cnf(140035,negated_conjecture,(c_Groups_Ozero__class_Ozero(t_a)=v_x____|c_Groups_Ozero__class_Ozero(t_a)=v_y____|$false|~class_Rings_Ocomm__semiring__0(t_a)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[140021,139698,theory(equality)]),109697,theory(equality)])).
% cnf(140036,negated_conjecture,(c_Groups_Ozero__class_Ozero(t_a)=v_x____|c_Groups_Ozero__class_Ozero(t_a)=v_y____|~class_Rings_Ocomm__semiring__0(t_a)),inference(cn,[status(thm)],[140035,theory(equality)])).
% cnf(140041,negated_conjecture,(c_Groups_Ozero__class_Ozero(t_a)=v_y____|c_Groups_Ozero__class_Ozero(t_a)=v_x____|~class_Rings_Oidom(t_a)),inference(spm,[status(thm)],[140036,1359,theory(equality)])).
% cnf(140042,negated_conjecture,(c_Groups_Ozero__class_Ozero(t_a)=v_y____|c_Groups_Ozero__class_Ozero(t_a)=v_x____|$false),inference(rw,[status(thm)],[140041,1311,theory(equality)])).
% cnf(140043,negated_conjecture,(c_Groups_Ozero__class_Ozero(t_a)=v_y____|c_Groups_Ozero__class_Ozero(t_a)=v_x____),inference(cn,[status(thm)],[140042,theory(equality)])).
% cnf(140044,negated_conjecture,(c_Groups_Ozero__class_Ozero(t_a)=v_y____|v_x____!=v_y____),inference(ef,[status(thm)],[140043,theory(equality)])).
% cnf(140240,negated_conjecture,(hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),X1),v_y____)=X1|v_x____!=v_y____),inference(spm,[status(thm)],[109697,140044,theory(equality)])).
% cnf(140244,negated_conjecture,(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_y____)=hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|v_x____!=v_y____),inference(spm,[status(thm)],[112848,140044,theory(equality)])).
% cnf(142901,negated_conjecture,(hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_y____),X1)=X1|v_x____!=v_y____),inference(spm,[status(thm)],[1881,140244,theory(equality)])).
% cnf(142911,negated_conjecture,(hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_y____),hAPP(c_Nat_OSuc,X1))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_y____),X1))|v_x____!=v_y____),inference(spm,[status(thm)],[3107,140244,theory(equality)])).
% cnf(146377,negated_conjecture,(hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_y____),X1))=hAPP(c_Nat_OSuc,X1)|v_x____!=v_y____),inference(spm,[status(thm)],[142901,142911,theory(equality)])).
% cnf(146808,negated_conjecture,(hAPP(c_Nat_OSuc,v_y____)=hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(t_a))|v_x____!=v_y____),inference(spm,[status(thm)],[146377,109697,theory(equality)])).
% cnf(147094,negated_conjecture,(hAPP(c_Nat_Onat_Onat__case(X1,X2,X3),hAPP(c_Nat_OSuc,v_y____))=hAPP(X3,c_Groups_Ozero__class_Ozero(t_a))|v_x____!=v_y____),inference(spm,[status(thm)],[2187,146808,theory(equality)])).
% cnf(147123,negated_conjecture,(hAPP(X3,v_y____)=hAPP(X3,c_Groups_Ozero__class_Ozero(t_a))|v_x____!=v_y____),inference(rw,[status(thm)],[147094,2187,theory(equality)])).
% cnf(150218,plain,(hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),X1),X2)=X1|c_Groups_Ozero__class_Ozero(t_a)!=X2),inference(spm,[status(thm)],[6314,1311,theory(equality)])).
% cnf(150966,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)],[6323,1311,theory(equality)])).
% cnf(151199,negated_conjecture,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_y____),X1)=v_y____|v_x____!=v_y____),inference(spm,[status(thm)],[150966,140044,theory(equality)])).
% cnf(151200,negated_conjecture,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_x____),X1)=v_x____|c_Groups_Ozero__class_Ozero(t_a)=v_y____),inference(spm,[status(thm)],[150966,140043,theory(equality)])).
% cnf(151201,negated_conjecture,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_y____),X1)=c_Groups_Ozero__class_Ozero(t_a)|v_x____!=v_y____),inference(spm,[status(thm)],[150966,147123,theory(equality)])).
% cnf(151476,negated_conjecture,(c_Groups_Ozero__class_Ozero(t_a)=v_x____|hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),v_y____)!=v_c____|~class_Rings_Ocomm__semiring__0(t_a)|v_x____!=v_y____),inference(spm,[status(thm)],[139874,151199,theory(equality)])).
% cnf(151675,negated_conjecture,(c_Groups_Ozero__class_Ozero(t_a)=v_x____|v_x____!=v_y____|~class_Rings_Ocomm__semiring__0(t_a)),inference(csr,[status(thm)],[151476,140240])).
% cnf(151676,negated_conjecture,(c_Groups_Ozero__class_Ozero(t_a)=v_x____|v_x____!=v_y____|~class_Rings_Oidom(t_a)),inference(spm,[status(thm)],[151675,1359,theory(equality)])).
% cnf(151677,negated_conjecture,(c_Groups_Ozero__class_Ozero(t_a)=v_x____|v_x____!=v_y____|$false),inference(rw,[status(thm)],[151676,1311,theory(equality)])).
% cnf(151678,negated_conjecture,(c_Groups_Ozero__class_Ozero(t_a)=v_x____|v_x____!=v_y____),inference(cn,[status(thm)],[151677,theory(equality)])).
% cnf(151767,negated_conjecture,(hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),X1),v_x____)=X1|v_x____!=v_y____),inference(spm,[status(thm)],[109697,151678,theory(equality)])).
% cnf(152965,negated_conjecture,(hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_y____),v_x____)=c_Groups_Ozero__class_Ozero(t_a)|v_x____!=v_y____),inference(spm,[status(thm)],[151767,147123,theory(equality)])).
% cnf(153135,negated_conjecture,(hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(t_a))=hAPP(c_Nat_OSuc,v_x____)|v_x____!=v_y____),inference(spm,[status(thm)],[146377,152965,theory(equality)])).
% cnf(153642,negated_conjecture,(hAPP(c_Nat_Onat_Onat__case(X1,X2,X3),hAPP(c_Nat_OSuc,v_x____))=hAPP(X3,c_Groups_Ozero__class_Ozero(t_a))|v_x____!=v_y____),inference(spm,[status(thm)],[2187,153135,theory(equality)])).
% cnf(153673,negated_conjecture,(hAPP(X3,v_x____)=hAPP(X3,c_Groups_Ozero__class_Ozero(t_a))|v_x____!=v_y____),inference(rw,[status(thm)],[153642,2187,theory(equality)])).
% cnf(154782,negated_conjecture,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_x____),X1)=c_Groups_Ozero__class_Ozero(t_a)|v_x____!=v_y____),inference(spm,[status(thm)],[150966,153673,theory(equality)])).
% cnf(157952,negated_conjecture,(hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),c_Groups_Ozero__class_Ozero(t_a))!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_y____),hAPP(c_Polynomial_Opoly(t_a,v_cs____),v_y____)))|~class_Rings_Ocomm__semiring__0(t_a)|v_x____!=v_y____),inference(spm,[status(thm)],[85223,154782,theory(equality)])).
% cnf(158109,negated_conjecture,(v_c____!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_y____),hAPP(c_Polynomial_Opoly(t_a,v_cs____),v_y____)))|~class_Rings_Ocomm__semiring__0(t_a)|v_x____!=v_y____),inference(rw,[status(thm)],[157952,109697,theory(equality)])).
% cnf(164345,negated_conjecture,(hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),c_Groups_Ozero__class_Ozero(t_a))!=v_c____|v_x____!=v_y____|~class_Rings_Ocomm__semiring__0(t_a)),inference(spm,[status(thm)],[158109,151201,theory(equality)])).
% cnf(164359,negated_conjecture,($false|v_x____!=v_y____|~class_Rings_Ocomm__semiring__0(t_a)),inference(rw,[status(thm)],[164345,109697,theory(equality)])).
% cnf(164360,negated_conjecture,(v_x____!=v_y____|~class_Rings_Ocomm__semiring__0(t_a)),inference(cn,[status(thm)],[164359,theory(equality)])).
% cnf(164361,negated_conjecture,(v_x____!=v_y____|~class_Rings_Oidom(t_a)),inference(spm,[status(thm)],[164360,1359,theory(equality)])).
% cnf(164362,negated_conjecture,(v_x____!=v_y____|$false),inference(rw,[status(thm)],[164361,1311,theory(equality)])).
% cnf(164363,negated_conjecture,(v_x____!=v_y____),inference(cn,[status(thm)],[164362,theory(equality)])).
% cnf(177167,negated_conjecture,(v_c____!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_y____),hAPP(c_Polynomial_Opoly(t_a,v_cs____),v_y____)))|~class_Rings_Ocomm__semiring__0(t_a)|c_Groups_Ozero__class_Ozero(t_a)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_x____),hAPP(c_Polynomial_Opoly(t_a,v_cs____),v_x____))),inference(spm,[status(thm)],[85223,150218,theory(equality)])).
% cnf(177168,negated_conjecture,(c_Groups_Ozero__class_Ozero(t_a)=v_x____|~class_Rings_Ocomm__semiring__0(t_a)|c_Groups_Ozero__class_Ozero(t_a)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_y____),hAPP(c_Polynomial_Opoly(t_a,v_cs____),v_y____))),inference(spm,[status(thm)],[139874,150218,theory(equality)])).
% cnf(177812,negated_conjecture,(c_Groups_Ozero__class_Ozero(t_a)=v_y____|hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_y____),c_Groups_Ozero__class_Ozero(t_a)))!=v_c____|hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_x____),hAPP(c_Polynomial_Opoly(t_a,v_cs____),v_x____))!=c_Groups_Ozero__class_Ozero(t_a)|~class_Rings_Ocomm__semiring__0(t_a)),inference(spm,[status(thm)],[177167,5314,theory(equality)])).
% cnf(177841,negated_conjecture,(c_Groups_Ozero__class_Ozero(t_a)=v_y____|$false|hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_x____),hAPP(c_Polynomial_Opoly(t_a,v_cs____),v_x____))!=c_Groups_Ozero__class_Ozero(t_a)|~class_Rings_Ocomm__semiring__0(t_a)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[177812,139698,theory(equality)]),109697,theory(equality)])).
% cnf(177842,negated_conjecture,(c_Groups_Ozero__class_Ozero(t_a)=v_y____|hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_x____),hAPP(c_Polynomial_Opoly(t_a,v_cs____),v_x____))!=c_Groups_Ozero__class_Ozero(t_a)|~class_Rings_Ocomm__semiring__0(t_a)),inference(cn,[status(thm)],[177841,theory(equality)])).
% cnf(177865,negated_conjecture,(c_Groups_Ozero__class_Ozero(t_a)=v_y____|v_x____!=c_Groups_Ozero__class_Ozero(t_a)|~class_Rings_Ocomm__semiring__0(t_a)),inference(spm,[status(thm)],[177842,151200,theory(equality)])).
% cnf(177884,negated_conjecture,(c_Groups_Ozero__class_Ozero(t_a)=v_y____|~class_Rings_Ocomm__semiring__0(t_a)),inference(csr,[status(thm)],[177865,140043])).
% cnf(177885,negated_conjecture,(c_Groups_Ozero__class_Ozero(t_a)=v_y____|~class_Rings_Oidom(t_a)),inference(spm,[status(thm)],[177884,1359,theory(equality)])).
% cnf(177886,negated_conjecture,(c_Groups_Ozero__class_Ozero(t_a)=v_y____|$false),inference(rw,[status(thm)],[177885,1311,theory(equality)])).
% cnf(177887,negated_conjecture,(c_Groups_Ozero__class_Ozero(t_a)=v_y____),inference(cn,[status(thm)],[177886,theory(equality)])).
% cnf(177970,negated_conjecture,(v_y____=v_x____|hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_y____),hAPP(c_Polynomial_Opoly(t_a,v_cs____),v_y____))!=c_Groups_Ozero__class_Ozero(t_a)|~class_Rings_Ocomm__semiring__0(t_a)),inference(rw,[status(thm)],[177168,177887,theory(equality)])).
% cnf(177971,negated_conjecture,(v_y____=v_x____|hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_y____),hAPP(c_Polynomial_Opoly(t_a,v_cs____),v_y____))!=v_y____|~class_Rings_Ocomm__semiring__0(t_a)),inference(rw,[status(thm)],[177970,177887,theory(equality)])).
% cnf(177972,negated_conjecture,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_y____),hAPP(c_Polynomial_Opoly(t_a,v_cs____),v_y____))!=v_y____|~class_Rings_Ocomm__semiring__0(t_a)),inference(sr,[status(thm)],[177971,164363,theory(equality)])).
% cnf(178030,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_y____),X1)=c_Groups_Ozero__class_Ozero(t_a)),inference(rw,[status(thm)],[150966,177887,theory(equality)])).
% cnf(178031,plain,(hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_y____),X1)=v_y____),inference(rw,[status(thm)],[178030,177887,theory(equality)])).
% cnf(178722,negated_conjecture,($false|~class_Rings_Ocomm__semiring__0(t_a)),inference(rw,[status(thm)],[177972,178031,theory(equality)])).
% cnf(178723,negated_conjecture,(~class_Rings_Ocomm__semiring__0(t_a)),inference(cn,[status(thm)],[178722,theory(equality)])).
% cnf(179020,negated_conjecture,(~class_Rings_Oidom(t_a)),inference(spm,[status(thm)],[178723,1359,theory(equality)])).
% cnf(179021,negated_conjecture,($false),inference(rw,[status(thm)],[179020,1311,theory(equality)])).
% cnf(179022,negated_conjecture,($false),inference(cn,[status(thm)],[179021,theory(equality)])).
% cnf(179023,negated_conjecture,($false),179022,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 8373
% # ...of these trivial : 296
% # ...subsumed : 5346
% # ...remaining for further processing: 2731
% # Other redundant clauses eliminated : 359
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 105
% # Backward-rewritten : 361
% # Generated clauses : 107559
% # ...of the previous two non-trivial : 99339
% # Contextual simplify-reflections : 1383
% # Paramodulations : 107043
% # Factorizations : 13
% # Equation resolutions : 477
% # Current number of processed clauses: 2216
% # Positive orientable unit clauses: 340
% # Positive unorientable unit clauses: 8
% # Negative unit clauses : 231
% # Non-unit-clauses : 1637
% # Current number of unprocessed clauses: 73890
% # ...number of literals in the above : 234162
% # Clause-clause subsumption calls (NU) : 171296
% # Rec. Clause-clause subsumption calls : 120827
% # Unit Clause-clause subsumption calls : 25845
% # Rewrite failures with RHS unbound : 49
% # Indexed BW rewrite attempts : 4130
% # Indexed BW rewrite successes : 126
% # Backwards rewriting index: 1756 leaves, 2.30+/-5.993 terms/leaf
% # Paramod-from index: 548 leaves, 1.69+/-3.731 terms/leaf
% # Paramod-into index: 1552 leaves, 2.05+/-4.700 terms/leaf
% # -------------------------------------------------
% # User time : 5.592 s
% # System time : 0.186 s
% # Total time : 5.778 s
% # Maximum resident set size: 0 pages
% PrfWatch: 8.50 CPU 8.63 WC
% FINAL PrfWatch: 8.50 CPU 8.63 WC
% SZS output end Solution for /tmp/SystemOnTPTP25271/SWW247+1.tptp
%
%------------------------------------------------------------------------------