TSTP Solution File: SWW225+1 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWW225+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 : art02.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 01:07:29 EST 2011
% Result : Theorem 170.78s
% Output : Solution 170.78s
% 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/SystemOnTPTP562/SWW225+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% WARNING: TreeLimitedRun lost 0.48s, total lost is 0.48s
% found
% SZS status THM for /tmp/SystemOnTPTP562/SWW225+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP562/SWW225+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 758
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.93 CPU 2.02 WC
% PrfWatch: 3.93 CPU 4.03 WC
% # Preprocessing time : 0.221 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 5.90 CPU 6.03 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____),hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))),file('/tmp/SRASS.s.p', fact__096N1_A_L_AN2_A_060_061_Af_A_IN1_A_L_AN2_J_096)).
% fof(8, axiom,![X7]:![X6]:(~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X6,X7))<=>c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X7),X6)),file('/tmp/SRASS.s.p', fact_not__less__eq__eq)).
% fof(15, axiom,![X2]:![X4]:![X5]:(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5,X4)=>c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X4))),file('/tmp/SRASS.s.p', fact_trans__le__add2)).
% fof(20, axiom,![X6]:![X7]:(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X7),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X6))<=>c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X7,X6)),file('/tmp/SRASS.s.p', fact_real__of__nat__le__iff)).
% fof(34, axiom,![X7]:![X6]:(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X6,c_Nat_OSuc(X7))<=>(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X6,X7)|X6=c_Nat_OSuc(X7))),file('/tmp/SRASS.s.p', fact_le__Suc__eq)).
% fof(61, axiom,![X3]:![X1]:![X2]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),X3)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),file('/tmp/SRASS.s.p', fact_nat__add__assoc)).
% fof(62, axiom,![X11]:![X10]:![X12]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X12,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X10,X11))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X10,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X12,X11)),file('/tmp/SRASS.s.p', fact_nat__add__left__commute)).
% fof(63, axiom,![X1]:![X2]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),file('/tmp/SRASS.s.p', fact_nat__add__commute)).
% fof(72, axiom,![X1]:![X2]:(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)=>(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)=>X2=X1)),file('/tmp/SRASS.s.p', fact_le__antisym)).
% fof(136, axiom,![X1]:c_Nat_OSuc(X1)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1),file('/tmp/SRASS.s.p', fact_Suc__eq__plus1__left)).
% fof(137, axiom,![X1]:c_Nat_OSuc(X1)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),file('/tmp/SRASS.s.p', fact_Suc__eq__plus1)).
% fof(140, axiom,c_RealDef_Oreal(tc_Nat_Onat)=c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal),file('/tmp/SRASS.s.p', fact_real__eq__of__nat)).
% fof(1269, conjecture,c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),file('/tmp/SRASS.s.p', conj_0)).
% fof(1270, negated_conjecture,~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))))),inference(assume_negation,[status(cth)],[1269])).
% fof(1271, plain,![X7]:![X6]:(~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X6,X7))<=>c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X7),X6)),inference(fof_simplification,[status(thm)],[8,theory(equality)])).
% fof(1353, negated_conjecture,~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))))),inference(fof_simplification,[status(thm)],[1270,theory(equality)])).
% cnf(1356,plain,(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____),hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),inference(split_conjunct,[status(thm)],[1])).
% fof(1374, plain,![X7]:![X6]:((c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X6,X7)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X7),X6))&(~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X7),X6))|~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X6,X7)))),inference(fof_nnf,[status(thm)],[1271])).
% fof(1375, plain,![X8]:![X9]:((c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X9,X8)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X8),X9))&(~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X8),X9))|~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X9,X8)))),inference(variable_rename,[status(thm)],[1374])).
% cnf(1377,plain,(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1),X2)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)),inference(split_conjunct,[status(thm)],[1375])).
% fof(1397, plain,![X2]:![X4]:![X5]:(~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5,X4))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X4))),inference(fof_nnf,[status(thm)],[15])).
% fof(1398, plain,![X6]:![X7]:![X8]:(~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X8,X7))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X8,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X6,X7))),inference(variable_rename,[status(thm)],[1397])).
% cnf(1399,plain,(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)),inference(split_conjunct,[status(thm)],[1398])).
% fof(1411, plain,![X6]:![X7]:((~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X7),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X6)))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X7,X6))&(~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X7,X6))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X7),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X6)))),inference(fof_nnf,[status(thm)],[20])).
% fof(1412, plain,![X8]:![X9]:((~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X9),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X8)))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X9,X8))&(~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X9,X8))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X9),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X8)))),inference(variable_rename,[status(thm)],[1411])).
% cnf(1413,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X2))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)),inference(split_conjunct,[status(thm)],[1412])).
% fof(1448, plain,![X7]:![X6]:((~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X6,c_Nat_OSuc(X7)))|(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X6,X7)|X6=c_Nat_OSuc(X7)))&((~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X6,X7))&~(X6=c_Nat_OSuc(X7)))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X6,c_Nat_OSuc(X7)))),inference(fof_nnf,[status(thm)],[34])).
% fof(1449, plain,![X8]:![X9]:((~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X9,c_Nat_OSuc(X8)))|(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X9,X8)|X9=c_Nat_OSuc(X8)))&((~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X9,X8))&~(X9=c_Nat_OSuc(X8)))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X9,c_Nat_OSuc(X8)))),inference(variable_rename,[status(thm)],[1448])).
% fof(1450, plain,![X8]:![X9]:((~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X9,c_Nat_OSuc(X8)))|(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X9,X8)|X9=c_Nat_OSuc(X8)))&((~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X9,X8))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X9,c_Nat_OSuc(X8)))&(~(X9=c_Nat_OSuc(X8))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X9,c_Nat_OSuc(X8))))),inference(distribute,[status(thm)],[1449])).
% cnf(1451,plain,(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_OSuc(X2))|X1!=c_Nat_OSuc(X2)),inference(split_conjunct,[status(thm)],[1450])).
% fof(1547, plain,![X4]:![X5]:![X6]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X6,X5),X4)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X6,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X5,X4)),inference(variable_rename,[status(thm)],[61])).
% cnf(1548,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))),inference(split_conjunct,[status(thm)],[1547])).
% fof(1549, plain,![X13]:![X14]:![X15]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X15,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X14,X13))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X14,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X15,X13)),inference(variable_rename,[status(thm)],[62])).
% cnf(1550,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))),inference(split_conjunct,[status(thm)],[1549])).
% fof(1551, plain,![X3]:![X4]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,X3)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4),inference(variable_rename,[status(thm)],[63])).
% cnf(1552,plain,(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)),inference(split_conjunct,[status(thm)],[1551])).
% fof(1574, plain,![X1]:![X2]:(~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1))|(~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2))|X2=X1)),inference(fof_nnf,[status(thm)],[72])).
% fof(1575, plain,![X3]:![X4]:(~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4,X3))|(~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4))|X4=X3)),inference(variable_rename,[status(thm)],[1574])).
% cnf(1576,plain,(X1=X2|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)),inference(split_conjunct,[status(thm)],[1575])).
% fof(1786, plain,![X2]:c_Nat_OSuc(X2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2),inference(variable_rename,[status(thm)],[136])).
% cnf(1787,plain,(c_Nat_OSuc(X1)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)),inference(split_conjunct,[status(thm)],[1786])).
% fof(1788, plain,![X2]:c_Nat_OSuc(X2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)),inference(variable_rename,[status(thm)],[137])).
% cnf(1789,plain,(c_Nat_OSuc(X1)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),inference(split_conjunct,[status(thm)],[1788])).
% cnf(1800,plain,(c_RealDef_Oreal(tc_Nat_Onat)=c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal)),inference(split_conjunct,[status(thm)],[140])).
% cnf(5236,negated_conjecture,(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))))),inference(split_conjunct,[status(thm)],[1353])).
% cnf(5301,plain,(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),inference(rw,[status(thm)],[1787,1789,theory(equality)]),['unfolding']).
% cnf(5325,plain,(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)),inference(rw,[status(thm)],[1377,1789,theory(equality)]),['unfolding']).
% cnf(5332,plain,(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))!=X1),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1451,1789,theory(equality)]),1789,theory(equality)]),['unfolding']).
% cnf(5473,negated_conjecture,(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[5236,1789,theory(equality)]),1789,theory(equality)]),['unfolding']).
% cnf(5491,negated_conjecture,(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[5473,1800,theory(equality)]),1800,theory(equality)])).
% cnf(5499,negated_conjecture,(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))))),inference(rw,[status(thm)],[5491,5301,theory(equality)])).
% cnf(5544,plain,(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal),X2))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1413,1800,theory(equality)]),1800,theory(equality)])).
% cnf(6151,negated_conjecture,(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N2____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))))),inference(rw,[status(thm)],[5499,1548,theory(equality)])).
% cnf(6573,plain,(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))),inference(spm,[status(thm)],[1576,1356,theory(equality)])).
% cnf(6617,plain,(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)!=X1),inference(spm,[status(thm)],[5332,1552,theory(equality)])).
% cnf(8248,plain,(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,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))),X3)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))),inference(spm,[status(thm)],[5325,1548,theory(equality)])).
% cnf(8319,negated_conjecture,(~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N2____,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),inference(spm,[status(thm)],[6151,5544,theory(equality)])).
% cnf(94059,negated_conjecture,(~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N2____,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),inference(spm,[status(thm)],[8319,1399,theory(equality)])).
% cnf(109738,negated_conjecture,(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N2____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),inference(spm,[status(thm)],[8319,6617,theory(equality)])).
% cnf(183915,negated_conjecture,(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))),inference(spm,[status(thm)],[94059,8248,theory(equality)])).
% cnf(184128,plain,(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)|$false),inference(rw,[status(thm)],[6573,183915,theory(equality)])).
% cnf(184129,plain,(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)),inference(cn,[status(thm)],[184128,theory(equality)])).
% cnf(184309,negated_conjecture,($false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[109738,184129,theory(equality)]),1550,theory(equality)]),1552,theory(equality)])).
% cnf(184310,negated_conjecture,($false),inference(cn,[status(thm)],[184309,theory(equality)])).
% cnf(184311,negated_conjecture,($false),184310,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 14126
% # ...of these trivial : 166
% # ...subsumed : 9383
% # ...remaining for further processing: 4577
% # Other redundant clauses eliminated : 358
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 103
% # Backward-rewritten : 161
% # Generated clauses : 99434
% # ...of the previous two non-trivial : 90593
% # Contextual simplify-reflections : 1024
% # Paramodulations : 99004
% # Factorizations : 15
% # Equation resolutions : 412
% # Current number of processed clauses: 2846
% # Positive orientable unit clauses: 501
% # Positive unorientable unit clauses: 11
% # Negative unit clauses : 566
% # Non-unit-clauses : 1768
% # Current number of unprocessed clauses: 75382
% # ...number of literals in the above : 225431
% # Clause-clause subsumption calls (NU) : 141108
% # Rec. Clause-clause subsumption calls : 110614
% # Unit Clause-clause subsumption calls : 8548
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 8043
% # Indexed BW rewrite successes : 585
% # Backwards rewriting index: 1232 leaves, 2.77+/-6.925 terms/leaf
% # Paramod-from index: 590 leaves, 1.87+/-3.413 terms/leaf
% # Paramod-into index: 1111 leaves, 2.58+/-6.618 terms/leaf
% # -------------------------------------------------
% # User time : 5.007 s
% # System time : 0.171 s
% # Total time : 5.178 s
% # Maximum resident set size: 0 pages
% PrfWatch: 7.79 CPU 7.93 WC
% FINAL PrfWatch: 7.79 CPU 7.93 WC
% SZS output end Solution for /tmp/SystemOnTPTP562/SWW225+1.tptp
%
%------------------------------------------------------------------------------