TSTP Solution File: GRP685+1 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : GRP685+1 : TPTP v5.0.0. Released v4.0.0.
% 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 : Wed Dec 29 07:19:42 EST 2010
% Result : Theorem 1.47s
% Output : Solution 1.47s
% 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/SystemOnTPTP1276/GRP685+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP1276/GRP685+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP1276/GRP685+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 1373
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.011 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:ld(X1,mult(X1,X1))=X1,file('/tmp/SRASS.s.p', f01)).
% fof(2, axiom,![X1]:rd(mult(X1,X1),X1)=X1,file('/tmp/SRASS.s.p', f02)).
% fof(3, axiom,![X2]:![X1]:mult(X1,ld(X1,X2))=ld(X1,mult(X1,X2)),file('/tmp/SRASS.s.p', f03)).
% fof(4, axiom,![X2]:![X1]:mult(rd(X1,X2),X2)=rd(mult(X1,X2),X2),file('/tmp/SRASS.s.p', f04)).
% fof(5, axiom,![X3]:![X4]:![X2]:![X1]:ld(ld(X1,X2),mult(ld(X1,X2),mult(X4,X3)))=mult(ld(X1,mult(X1,X4)),X3),file('/tmp/SRASS.s.p', f05)).
% fof(6, axiom,![X3]:![X4]:![X2]:![X1]:rd(mult(mult(X1,X2),rd(X4,X3)),rd(X4,X3))=mult(X1,rd(mult(X2,X3),X3)),file('/tmp/SRASS.s.p', f06)).
% fof(7, axiom,![X2]:![X1]:ld(X1,mult(X1,ld(X2,X2)))=rd(mult(rd(X1,X1),X2),X2),file('/tmp/SRASS.s.p', f07)).
% fof(8, conjecture,![X5]:![X6]:![X7]:(rd(mult(X5,ld(X6,X7)),ld(X6,X7))=rd(mult(X5,X7),X7)&rd(mult(X5,rd(X6,X7)),rd(X6,X7))=rd(mult(X5,X7),X7)),file('/tmp/SRASS.s.p', goals)).
% fof(9, negated_conjecture,~(![X5]:![X6]:![X7]:(rd(mult(X5,ld(X6,X7)),ld(X6,X7))=rd(mult(X5,X7),X7)&rd(mult(X5,rd(X6,X7)),rd(X6,X7))=rd(mult(X5,X7),X7))),inference(assume_negation,[status(cth)],[8])).
% fof(10, plain,![X2]:ld(X2,mult(X2,X2))=X2,inference(variable_rename,[status(thm)],[1])).
% cnf(11,plain,(ld(X1,mult(X1,X1))=X1),inference(split_conjunct,[status(thm)],[10])).
% fof(12, plain,![X2]:rd(mult(X2,X2),X2)=X2,inference(variable_rename,[status(thm)],[2])).
% cnf(13,plain,(rd(mult(X1,X1),X1)=X1),inference(split_conjunct,[status(thm)],[12])).
% fof(14, plain,![X3]:![X4]:mult(X4,ld(X4,X3))=ld(X4,mult(X4,X3)),inference(variable_rename,[status(thm)],[3])).
% cnf(15,plain,(mult(X1,ld(X1,X2))=ld(X1,mult(X1,X2))),inference(split_conjunct,[status(thm)],[14])).
% fof(16, plain,![X3]:![X4]:mult(rd(X4,X3),X3)=rd(mult(X4,X3),X3),inference(variable_rename,[status(thm)],[4])).
% cnf(17,plain,(mult(rd(X1,X2),X2)=rd(mult(X1,X2),X2)),inference(split_conjunct,[status(thm)],[16])).
% fof(18, plain,![X5]:![X6]:![X7]:![X8]:ld(ld(X8,X7),mult(ld(X8,X7),mult(X6,X5)))=mult(ld(X8,mult(X8,X6)),X5),inference(variable_rename,[status(thm)],[5])).
% cnf(19,plain,(ld(ld(X1,X2),mult(ld(X1,X2),mult(X3,X4)))=mult(ld(X1,mult(X1,X3)),X4)),inference(split_conjunct,[status(thm)],[18])).
% fof(20, plain,![X5]:![X6]:![X7]:![X8]:rd(mult(mult(X8,X7),rd(X6,X5)),rd(X6,X5))=mult(X8,rd(mult(X7,X5),X5)),inference(variable_rename,[status(thm)],[6])).
% cnf(21,plain,(rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4))=mult(X1,rd(mult(X2,X4),X4))),inference(split_conjunct,[status(thm)],[20])).
% fof(22, plain,![X3]:![X4]:ld(X4,mult(X4,ld(X3,X3)))=rd(mult(rd(X4,X4),X3),X3),inference(variable_rename,[status(thm)],[7])).
% cnf(23,plain,(ld(X1,mult(X1,ld(X2,X2)))=rd(mult(rd(X1,X1),X2),X2)),inference(split_conjunct,[status(thm)],[22])).
% fof(24, negated_conjecture,?[X5]:?[X6]:?[X7]:(~(rd(mult(X5,ld(X6,X7)),ld(X6,X7))=rd(mult(X5,X7),X7))|~(rd(mult(X5,rd(X6,X7)),rd(X6,X7))=rd(mult(X5,X7),X7))),inference(fof_nnf,[status(thm)],[9])).
% fof(25, negated_conjecture,?[X8]:?[X9]:?[X10]:(~(rd(mult(X8,ld(X9,X10)),ld(X9,X10))=rd(mult(X8,X10),X10))|~(rd(mult(X8,rd(X9,X10)),rd(X9,X10))=rd(mult(X8,X10),X10))),inference(variable_rename,[status(thm)],[24])).
% fof(26, negated_conjecture,(~(rd(mult(esk1_0,ld(esk2_0,esk3_0)),ld(esk2_0,esk3_0))=rd(mult(esk1_0,esk3_0),esk3_0))|~(rd(mult(esk1_0,rd(esk2_0,esk3_0)),rd(esk2_0,esk3_0))=rd(mult(esk1_0,esk3_0),esk3_0))),inference(skolemize,[status(esa)],[25])).
% cnf(27,negated_conjecture,(rd(mult(esk1_0,rd(esk2_0,esk3_0)),rd(esk2_0,esk3_0))!=rd(mult(esk1_0,esk3_0),esk3_0)|rd(mult(esk1_0,ld(esk2_0,esk3_0)),ld(esk2_0,esk3_0))!=rd(mult(esk1_0,esk3_0),esk3_0)),inference(split_conjunct,[status(thm)],[26])).
% cnf(28,plain,(mult(X1,ld(X1,X1))=X1),inference(rw,[status(thm)],[11,15,theory(equality)])).
% cnf(29,plain,(mult(rd(X1,X1),X1)=X1),inference(rw,[status(thm)],[13,17,theory(equality)])).
% cnf(30,negated_conjecture,(mult(rd(esk1_0,ld(esk2_0,esk3_0)),ld(esk2_0,esk3_0))!=rd(mult(esk1_0,esk3_0),esk3_0)|rd(mult(esk1_0,rd(esk2_0,esk3_0)),rd(esk2_0,esk3_0))!=rd(mult(esk1_0,esk3_0),esk3_0)),inference(rw,[status(thm)],[27,17,theory(equality)])).
% cnf(31,negated_conjecture,(mult(rd(esk1_0,ld(esk2_0,esk3_0)),ld(esk2_0,esk3_0))!=mult(rd(esk1_0,esk3_0),esk3_0)|rd(mult(esk1_0,rd(esk2_0,esk3_0)),rd(esk2_0,esk3_0))!=rd(mult(esk1_0,esk3_0),esk3_0)),inference(rw,[status(thm)],[30,17,theory(equality)])).
% cnf(32,negated_conjecture,(mult(rd(esk1_0,ld(esk2_0,esk3_0)),ld(esk2_0,esk3_0))!=mult(rd(esk1_0,esk3_0),esk3_0)|mult(rd(esk1_0,rd(esk2_0,esk3_0)),rd(esk2_0,esk3_0))!=rd(mult(esk1_0,esk3_0),esk3_0)),inference(rw,[status(thm)],[31,17,theory(equality)])).
% cnf(33,negated_conjecture,(mult(rd(esk1_0,ld(esk2_0,esk3_0)),ld(esk2_0,esk3_0))!=mult(rd(esk1_0,esk3_0),esk3_0)|mult(rd(esk1_0,rd(esk2_0,esk3_0)),rd(esk2_0,esk3_0))!=mult(rd(esk1_0,esk3_0),esk3_0)),inference(rw,[status(thm)],[32,17,theory(equality)])).
% cnf(34,plain,(mult(X1,ld(X1,ld(X2,X2)))=rd(mult(rd(X1,X1),X2),X2)),inference(rw,[status(thm)],[23,15,theory(equality)])).
% cnf(35,plain,(mult(X1,ld(X1,ld(X2,X2)))=mult(rd(rd(X1,X1),X2),X2)),inference(rw,[status(thm)],[34,17,theory(equality)])).
% cnf(38,plain,(mult(ld(X1,X2),ld(ld(X1,X2),mult(X3,X4)))=mult(ld(X1,mult(X1,X3)),X4)),inference(rw,[status(thm)],[19,15,theory(equality)])).
% cnf(39,plain,(mult(ld(X1,X2),ld(ld(X1,X2),mult(X3,X4)))=mult(mult(X1,ld(X1,X3)),X4)),inference(rw,[status(thm)],[38,15,theory(equality)])).
% cnf(49,plain,(mult(rd(mult(X1,X2),rd(X3,X4)),rd(X3,X4))=mult(X1,rd(mult(X2,X4),X4))),inference(rw,[status(thm)],[21,17,theory(equality)])).
% cnf(50,plain,(mult(rd(mult(X1,X2),rd(X3,X4)),rd(X3,X4))=mult(X1,mult(rd(X2,X4),X4))),inference(rw,[status(thm)],[49,17,theory(equality)])).
% cnf(64,plain,(ld(X1,X1)=mult(X1,ld(X1,ld(X1,X1)))),inference(spm,[status(thm)],[15,28,theory(equality)])).
% cnf(69,plain,(ld(X1,X1)=mult(rd(rd(X1,X1),X1),X1)),inference(rw,[status(thm)],[64,35,theory(equality)])).
% cnf(70,plain,(ld(rd(X1,X1),X1)=mult(rd(X1,X1),ld(rd(X1,X1),X1))),inference(spm,[status(thm)],[15,29,theory(equality)])).
% cnf(71,plain,(rd(X1,X1)=mult(rd(rd(X1,X1),X1),X1)),inference(spm,[status(thm)],[17,29,theory(equality)])).
% cnf(79,plain,(ld(X1,X1)=rd(X1,X1)),inference(rw,[status(thm)],[71,69,theory(equality)])).
% cnf(80,plain,(mult(rd(X1,X1),ld(rd(X1,X1),mult(X2,X3)))=mult(mult(X1,ld(X1,X2)),X3)),inference(spm,[status(thm)],[39,79,theory(equality)])).
% cnf(82,plain,(mult(X1,rd(X1,X1))=X1),inference(rw,[status(thm)],[28,79,theory(equality)])).
% cnf(83,plain,(mult(X1,ld(X1,rd(X2,X2)))=mult(rd(rd(X1,X1),X2),X2)),inference(rw,[status(thm)],[35,79,theory(equality)])).
% cnf(184,plain,(mult(rd(X1,X1),mult(rd(X1,X1),ld(rd(X1,X1),X2)))=mult(mult(X1,ld(X1,rd(X1,X1))),X2)),inference(spm,[status(thm)],[80,15,theory(equality)])).
% cnf(199,plain,(mult(rd(X1,X1),mult(rd(X1,X1),ld(rd(X1,X1),X2)))=mult(rd(X1,X1),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[184,83,theory(equality)]),69,theory(equality)]),79,theory(equality)])).
% cnf(223,plain,(mult(rd(X1,X1),ld(rd(X1,X1),X1))=mult(rd(X1,X1),X1)),inference(spm,[status(thm)],[199,70,theory(equality)])).
% cnf(237,plain,(ld(rd(X1,X1),X1)=mult(rd(X1,X1),X1)),inference(rw,[status(thm)],[223,70,theory(equality)])).
% cnf(238,plain,(ld(rd(X1,X1),X1)=X1),inference(rw,[status(thm)],[237,29,theory(equality)])).
% cnf(241,plain,(mult(X1,ld(X1,mult(X2,X3)))=mult(mult(rd(X1,X1),ld(rd(X1,X1),X2)),X3)),inference(spm,[status(thm)],[39,238,theory(equality)])).
% cnf(350,plain,(mult(mult(rd(X1,X1),rd(rd(X1,X1),rd(X1,X1))),X2)=mult(X1,ld(X1,mult(rd(X1,X1),X2)))),inference(spm,[status(thm)],[241,79,theory(equality)])).
% cnf(351,plain,(mult(mult(rd(X1,X1),X1),X2)=mult(X1,ld(X1,mult(X1,X2)))),inference(spm,[status(thm)],[241,238,theory(equality)])).
% cnf(362,plain,(mult(rd(X1,X1),X2)=mult(X1,ld(X1,mult(rd(X1,X1),X2)))),inference(rw,[status(thm)],[350,82,theory(equality)])).
% cnf(363,plain,(mult(X1,X2)=mult(X1,ld(X1,mult(X1,X2)))),inference(rw,[status(thm)],[351,29,theory(equality)])).
% cnf(364,plain,(mult(X1,X2)=mult(X1,mult(X1,ld(X1,X2)))),inference(rw,[status(thm)],[363,15,theory(equality)])).
% cnf(381,plain,(mult(X1,mult(rd(rd(X1,X1),X2),X2))=mult(X1,rd(X2,X2))),inference(spm,[status(thm)],[364,83,theory(equality)])).
% cnf(405,plain,(mult(rd(rd(X1,X1),rd(X1,X1)),X2)=mult(mult(X1,ld(X1,rd(rd(X1,X1),rd(X1,X1)))),X2)),inference(spm,[status(thm)],[80,362,theory(equality)])).
% cnf(423,plain,(mult(rd(rd(X1,X1),rd(X1,X1)),X2)=mult(rd(X1,X1),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[405,83,theory(equality)]),29,theory(equality)])).
% cnf(444,plain,(mult(X1,rd(X1,X1))=mult(X1,rd(rd(X1,X1),rd(X1,X1)))),inference(spm,[status(thm)],[381,29,theory(equality)])).
% cnf(453,plain,(X1=mult(X1,rd(rd(X1,X1),rd(X1,X1)))),inference(rw,[status(thm)],[444,82,theory(equality)])).
% cnf(469,plain,(mult(rd(X1,X1),rd(rd(rd(X1,X1),rd(X1,X1)),rd(rd(X1,X1),rd(X1,X1))))=rd(rd(X1,X1),rd(X1,X1))),inference(spm,[status(thm)],[82,423,theory(equality)])).
% cnf(490,plain,(rd(X1,X1)=rd(rd(X1,X1),rd(X1,X1))),inference(rw,[status(thm)],[469,453,theory(equality)])).
% cnf(517,plain,(mult(rd(X1,X1),rd(X1,X1))=rd(X1,X1)),inference(spm,[status(thm)],[82,490,theory(equality)])).
% cnf(519,plain,(mult(rd(X1,X1),ld(rd(X1,X1),mult(X2,X3)))=mult(mult(rd(X1,X1),ld(rd(X1,X1),X2)),X3)),inference(spm,[status(thm)],[80,490,theory(equality)])).
% cnf(530,plain,(mult(rd(mult(X1,X2),rd(X3,X3)),rd(X3,X3))=mult(X1,mult(rd(X2,rd(X3,X3)),rd(X3,X3)))),inference(spm,[status(thm)],[50,490,theory(equality)])).
% cnf(538,plain,(mult(mult(X1,ld(X1,X2)),X3)=mult(mult(rd(X1,X1),ld(rd(X1,X1),X2)),X3)),inference(rw,[status(thm)],[519,80,theory(equality)])).
% cnf(539,plain,(mult(mult(X1,ld(X1,X2)),X3)=mult(X1,ld(X1,mult(X2,X3)))),inference(rw,[status(thm)],[538,241,theory(equality)])).
% cnf(553,plain,(mult(X1,mult(rd(X2,X3),X3))=mult(X1,mult(rd(X2,rd(X3,X3)),rd(X3,X3)))),inference(rw,[status(thm)],[530,50,theory(equality)])).
% cnf(593,plain,(rd(mult(X1,ld(X1,mult(X2,X3))),X3)=mult(rd(mult(X1,ld(X1,X2)),X3),X3)),inference(spm,[status(thm)],[17,539,theory(equality)])).
% cnf(596,plain,(mult(mult(X1,mult(X1,ld(X1,X2))),X3)=mult(X1,ld(X1,mult(mult(X1,X2),X3)))),inference(spm,[status(thm)],[539,15,theory(equality)])).
% cnf(598,plain,(mult(mult(rd(rd(X1,X1),X2),X2),X3)=mult(X1,ld(X1,mult(rd(X2,X2),X3)))),inference(spm,[status(thm)],[539,83,theory(equality)])).
% cnf(604,plain,(mult(ld(X1,X2),ld(ld(X1,X2),mult(X3,X4)))=mult(X1,ld(X1,mult(X3,X4)))),inference(rw,[status(thm)],[39,539,theory(equality)])).
% cnf(619,plain,(mult(mult(X1,X2),X3)=mult(X1,ld(X1,mult(mult(X1,X2),X3)))),inference(rw,[status(thm)],[596,364,theory(equality)])).
% cnf(788,plain,(rd(mult(X1,ld(X1,X2)),rd(X2,X2))=mult(rd(mult(X1,ld(X1,X2)),rd(X2,X2)),rd(X2,X2))),inference(spm,[status(thm)],[593,82,theory(equality)])).
% cnf(812,plain,(rd(mult(X1,ld(X1,X2)),rd(X2,X2))=mult(X1,mult(rd(ld(X1,X2),X2),X2))),inference(rw,[status(thm)],[788,50,theory(equality)])).
% cnf(847,plain,(mult(X1,ld(X1,X2))=mult(mult(rd(rd(X1,X1),X2),X2),X2)),inference(spm,[status(thm)],[598,29,theory(equality)])).
% cnf(977,plain,(rd(mult(rd(X1,X1),X1),rd(X1,X1))=mult(rd(X1,X1),mult(rd(X1,X1),X1))),inference(spm,[status(thm)],[812,238,theory(equality)])).
% cnf(990,plain,(rd(X1,rd(X1,X1))=mult(rd(X1,X1),mult(rd(X1,X1),X1))),inference(rw,[status(thm)],[977,29,theory(equality)])).
% cnf(991,plain,(rd(X1,rd(X1,X1))=X1),inference(rw,[status(thm)],[inference(rw,[status(thm)],[990,29,theory(equality)]),29,theory(equality)])).
% cnf(1000,plain,(mult(mult(X1,X2),rd(mult(X1,X2),mult(X1,X2)))=mult(X1,mult(rd(X2,mult(X1,X2)),mult(X1,X2)))),inference(spm,[status(thm)],[50,991,theory(equality)])).
% cnf(1011,plain,(mult(X1,X2)=mult(X1,mult(rd(X2,mult(X1,X2)),mult(X1,X2)))),inference(rw,[status(thm)],[1000,82,theory(equality)])).
% cnf(1279,plain,(mult(X1,mult(X2,mult(rd(X3,X4),X4)))=mult(X1,mult(rd(mult(X2,X3),X4),X4))),inference(spm,[status(thm)],[553,50,theory(equality)])).
% cnf(1348,plain,(mult(X1,mult(rd(X2,X3),X3))=mult(X1,mult(X2,mult(rd(rd(X2,X2),X3),X3)))),inference(spm,[status(thm)],[1279,82,theory(equality)])).
% cnf(1397,plain,(mult(X1,mult(rd(X2,X3),X3))=mult(X1,mult(X2,rd(X3,X3)))),inference(rw,[status(thm)],[1348,381,theory(equality)])).
% cnf(1433,plain,(mult(X1,mult(mult(rd(X2,X3),X3),X3))=mult(X1,mult(mult(X2,X3),rd(X3,X3)))),inference(spm,[status(thm)],[1397,17,theory(equality)])).
% cnf(1439,plain,(mult(X1,mult(mult(X2,X3),rd(X4,X4)))=mult(X1,mult(X2,mult(rd(X3,X4),X4)))),inference(rw,[status(thm)],[1279,1397,theory(equality)])).
% cnf(1440,plain,(mult(X1,mult(mult(X2,X3),rd(X4,X4)))=mult(X1,mult(X2,mult(X3,rd(X4,X4))))),inference(rw,[status(thm)],[1439,1397,theory(equality)])).
% cnf(1442,plain,(mult(X1,mult(rd(X1,X1),rd(X2,X2)))=mult(X1,rd(X2,X2))),inference(rw,[status(thm)],[381,1397,theory(equality)])).
% cnf(1444,plain,(mult(rd(mult(X1,X2),rd(X3,X4)),rd(X3,X4))=mult(X1,mult(X2,rd(X4,X4)))),inference(rw,[status(thm)],[50,1397,theory(equality)])).
% cnf(1445,plain,(mult(X1,mult(X2,rd(mult(X1,X2),mult(X1,X2))))=mult(X1,X2)),inference(rw,[status(thm)],[1011,1397,theory(equality)])).
% cnf(1470,plain,(ld(X1,mult(X1,rd(X2,X2)))=mult(X1,ld(X1,mult(rd(X1,X1),rd(X2,X2))))),inference(spm,[status(thm)],[15,1442,theory(equality)])).
% cnf(1482,plain,(mult(rd(rd(X1,X1),X2),X2)=mult(X1,ld(X1,mult(rd(X1,X1),rd(X2,X2))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1470,15,theory(equality)]),83,theory(equality)])).
% cnf(1483,plain,(mult(rd(rd(X1,X1),X2),X2)=mult(rd(X1,X1),rd(X2,X2))),inference(rw,[status(thm)],[1482,362,theory(equality)])).
% cnf(1505,plain,(mult(mult(rd(X1,X1),rd(X2,X2)),X2)=mult(X1,ld(X1,X2))),inference(rw,[status(thm)],[847,1483,theory(equality)])).
% cnf(1798,plain,(mult(X1,mult(mult(rd(X2,X3),X3),X3))=mult(X1,mult(X2,X3))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1433,1440,theory(equality)]),82,theory(equality)])).
% cnf(1824,plain,(mult(X1,mult(mult(rd(X2,X2),rd(X3,X3)),X3))=mult(X1,mult(rd(X2,X2),X3))),inference(spm,[status(thm)],[1798,1483,theory(equality)])).
% cnf(1853,plain,(mult(X1,mult(X2,ld(X2,X3)))=mult(X1,mult(rd(X2,X2),X3))),inference(rw,[status(thm)],[1824,1505,theory(equality)])).
% cnf(1884,plain,(mult(X1,mult(rd(X1,X1),X2))=mult(X1,X2)),inference(rw,[status(thm)],[364,1853,theory(equality)])).
% cnf(1915,plain,(ld(X1,mult(X1,X2))=mult(X1,ld(X1,mult(rd(X1,X1),X2)))),inference(spm,[status(thm)],[15,1884,theory(equality)])).
% cnf(1941,plain,(mult(X1,ld(X1,X2))=mult(X1,ld(X1,mult(rd(X1,X1),X2)))),inference(rw,[status(thm)],[1915,15,theory(equality)])).
% cnf(1942,plain,(mult(X1,ld(X1,X2))=mult(rd(X1,X1),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1941,598,theory(equality)]),1483,theory(equality)]),517,theory(equality)])).
% cnf(1968,plain,(rd(mult(rd(X1,X1),X2),ld(X1,X2))=mult(rd(X1,ld(X1,X2)),ld(X1,X2))),inference(spm,[status(thm)],[17,1942,theory(equality)])).
% cnf(1976,plain,(ld(X1,mult(X1,X2))=mult(rd(X1,X1),X2)),inference(rw,[status(thm)],[15,1942,theory(equality)])).
% cnf(1977,plain,(mult(rd(X1,X1),mult(mult(X1,X2),X3))=mult(mult(X1,X2),X3)),inference(rw,[status(thm)],[619,1942,theory(equality)])).
% cnf(1983,plain,(mult(mult(rd(X1,X1),X2),X3)=mult(X1,ld(X1,mult(X2,X3)))),inference(rw,[status(thm)],[539,1942,theory(equality)])).
% cnf(1984,plain,(mult(mult(rd(X1,X1),X2),X3)=mult(rd(X1,X1),mult(X2,X3))),inference(rw,[status(thm)],[1983,1942,theory(equality)])).
% cnf(1997,plain,(mult(X1,mult(rd(X1,X1),X2))=mult(rd(X1,X1),mult(X1,X2))),inference(spm,[status(thm)],[1942,1976,theory(equality)])).
% cnf(2004,plain,(ld(X1,mult(rd(X1,X1),X2))=mult(rd(X1,X1),ld(X1,X2))),inference(spm,[status(thm)],[1976,1942,theory(equality)])).
% cnf(2009,plain,(ld(X1,mult(X1,X2))=mult(rd(X1,X1),mult(X2,rd(mult(X1,X2),mult(X1,X2))))),inference(spm,[status(thm)],[1976,1445,theory(equality)])).
% cnf(2010,plain,(mult(X1,X2)=mult(rd(X1,X1),mult(X1,X2))),inference(rw,[status(thm)],[1997,1884,theory(equality)])).
% cnf(2024,plain,(mult(rd(X1,X1),X2)=mult(rd(X1,X1),mult(X2,rd(mult(X1,X2),mult(X1,X2))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2009,15,theory(equality)]),1942,theory(equality)])).
% cnf(2307,plain,(mult(mult(X1,X2),rd(X3,X3))=mult(rd(X1,X1),mult(X1,mult(X2,rd(X3,X3))))),inference(spm,[status(thm)],[1440,1977,theory(equality)])).
% cnf(2350,plain,(mult(mult(X1,X2),rd(X3,X3))=mult(X1,mult(X2,rd(X3,X3)))),inference(rw,[status(thm)],[2307,2010,theory(equality)])).
% cnf(3127,plain,(mult(ld(X1,X2),ld(ld(X1,X2),mult(X3,X4)))=mult(rd(X1,X1),mult(X3,X4))),inference(rw,[status(thm)],[604,1942,theory(equality)])).
% cnf(3152,plain,(mult(ld(X1,X2),ld(ld(X1,X2),X3))=mult(rd(X1,X1),X3)),inference(spm,[status(thm)],[3127,29,theory(equality)])).
% cnf(3203,plain,(mult(rd(ld(X1,X2),ld(X1,X2)),X3)=mult(rd(X1,X1),X3)),inference(rw,[status(thm)],[3152,1942,theory(equality)])).
% cnf(3277,plain,(mult(rd(X1,X1),ld(X1,X2))=ld(X1,X2)),inference(spm,[status(thm)],[29,3203,theory(equality)])).
% cnf(3364,plain,(ld(ld(X1,X2),X3)=mult(rd(X1,X1),ld(ld(X1,X2),X3))),inference(spm,[status(thm)],[3203,3277,theory(equality)])).
% cnf(3375,plain,(mult(rd(X1,X1),ld(rd(X1,X1),X2))=ld(rd(X1,X1),X2)),inference(spm,[status(thm)],[3277,490,theory(equality)])).
% cnf(3376,plain,(ld(X1,mult(rd(X1,X1),X2))=ld(X1,X2)),inference(rw,[status(thm)],[2004,3277,theory(equality)])).
% cnf(3398,plain,(mult(rd(X1,X1),X2)=ld(rd(X1,X1),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[3375,1942,theory(equality)]),490,theory(equality)])).
% cnf(3449,plain,(ld(X1,mult(rd(X1,X1),mult(X2,rd(X3,X3))))=ld(X1,mult(rd(X2,X3),X3))),inference(spm,[status(thm)],[3376,1397,theory(equality)])).
% cnf(3479,plain,(ld(X1,mult(X2,rd(X3,X3)))=ld(X1,mult(rd(X2,X3),X3))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[3449,2004,theory(equality)]),3277,theory(equality)])).
% cnf(3496,plain,(ld(rd(X1,X2),mult(X1,rd(X2,X2)))=mult(rd(rd(X1,X2),rd(X1,X2)),X2)),inference(spm,[status(thm)],[1976,3479,theory(equality)])).
% cnf(3743,plain,(mult(rd(rd(X1,X1),rd(X1,X1)),ld(mult(rd(X1,X1),X2),X3))=ld(mult(rd(X1,X1),X2),X3)),inference(spm,[status(thm)],[3364,3398,theory(equality)])).
% cnf(3764,plain,(mult(rd(X1,X1),ld(mult(rd(X1,X1),X2),X3))=ld(mult(rd(X1,X1),X2),X3)),inference(rw,[status(thm)],[3743,490,theory(equality)])).
% cnf(4140,plain,(mult(rd(mult(X1,X2),X3),X3)=mult(X1,mult(X2,rd(rd(X3,X3),rd(X3,X3))))),inference(spm,[status(thm)],[1444,991,theory(equality)])).
% cnf(4192,plain,(mult(rd(mult(X1,X2),X3),X3)=mult(X1,mult(X2,rd(X3,X3)))),inference(rw,[status(thm)],[4140,490,theory(equality)])).
% cnf(4284,plain,(mult(rd(X1,X2),X2)=mult(rd(X1,X1),mult(X1,rd(X2,X2)))),inference(spm,[status(thm)],[4192,29,theory(equality)])).
% cnf(4304,plain,(mult(X1,mult(X2,rd(rd(X3,X4),rd(X3,X4))))=mult(X1,mult(X2,rd(X4,X4)))),inference(rw,[status(thm)],[1444,4192,theory(equality)])).
% cnf(4339,plain,(mult(rd(X1,X2),X2)=mult(X1,rd(X2,X2))),inference(rw,[status(thm)],[4284,2010,theory(equality)])).
% cnf(4374,plain,(mult(mult(X1,rd(X2,X2)),rd(X3,X3))=mult(rd(X1,X2),mult(X2,rd(X3,X3)))),inference(spm,[status(thm)],[2350,4339,theory(equality)])).
% cnf(4397,plain,(rd(mult(X1,X2),X2)=mult(X1,rd(X2,X2))),inference(rw,[status(thm)],[17,4339,theory(equality)])).
% cnf(4405,plain,(mult(X1,rd(ld(X1,X2),ld(X1,X2)))=rd(mult(rd(X1,X1),X2),ld(X1,X2))),inference(rw,[status(thm)],[1968,4339,theory(equality)])).
% cnf(4406,negated_conjecture,(mult(esk1_0,rd(ld(esk2_0,esk3_0),ld(esk2_0,esk3_0)))!=mult(rd(esk1_0,esk3_0),esk3_0)|mult(rd(esk1_0,rd(esk2_0,esk3_0)),rd(esk2_0,esk3_0))!=mult(rd(esk1_0,esk3_0),esk3_0)),inference(rw,[status(thm)],[33,4339,theory(equality)])).
% cnf(4407,negated_conjecture,(mult(esk1_0,rd(ld(esk2_0,esk3_0),ld(esk2_0,esk3_0)))!=mult(esk1_0,rd(esk3_0,esk3_0))|mult(rd(esk1_0,rd(esk2_0,esk3_0)),rd(esk2_0,esk3_0))!=mult(rd(esk1_0,esk3_0),esk3_0)),inference(rw,[status(thm)],[4406,4339,theory(equality)])).
% cnf(4408,negated_conjecture,(mult(esk1_0,rd(ld(esk2_0,esk3_0),ld(esk2_0,esk3_0)))!=mult(esk1_0,rd(esk3_0,esk3_0))|mult(esk1_0,rd(rd(esk2_0,esk3_0),rd(esk2_0,esk3_0)))!=mult(rd(esk1_0,esk3_0),esk3_0)),inference(rw,[status(thm)],[4407,4339,theory(equality)])).
% cnf(4409,negated_conjecture,(mult(esk1_0,rd(ld(esk2_0,esk3_0),ld(esk2_0,esk3_0)))!=mult(esk1_0,rd(esk3_0,esk3_0))|mult(esk1_0,rd(rd(esk2_0,esk3_0),rd(esk2_0,esk3_0)))!=mult(esk1_0,rd(esk3_0,esk3_0))),inference(rw,[status(thm)],[4408,4339,theory(equality)])).
% cnf(4412,plain,(mult(X1,mult(rd(X2,X2),rd(X3,X3)))=mult(rd(X1,X2),mult(X2,rd(X3,X3)))),inference(rw,[status(thm)],[4374,2350,theory(equality)])).
% cnf(4437,plain,(mult(mult(X1,rd(X2,X2)),X2)=mult(mult(X1,X2),rd(X2,X2))),inference(spm,[status(thm)],[4339,4397,theory(equality)])).
% cnf(4445,plain,(rd(mult(X1,X2),mult(X1,X2))=mult(rd(X1,X1),rd(mult(X1,X2),mult(X1,X2)))),inference(spm,[status(thm)],[4397,2010,theory(equality)])).
% cnf(4447,plain,(rd(mult(X1,rd(X2,X2)),X2)=mult(rd(X1,X2),rd(X2,X2))),inference(spm,[status(thm)],[4397,4339,theory(equality)])).
% cnf(4460,plain,(mult(mult(X1,rd(X2,X2)),X2)=mult(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4437,2350,theory(equality)]),82,theory(equality)])).
% cnf(4489,plain,(mult(mult(X1,mult(X2,rd(X3,X3))),X3)=mult(mult(X1,X2),X3)),inference(spm,[status(thm)],[4460,2350,theory(equality)])).
% cnf(4618,plain,(mult(mult(X1,mult(rd(X2,X2),rd(X4,X4))),X4)=mult(mult(X1,rd(ld(X2,X3),ld(X2,X3))),X4)),inference(spm,[status(thm)],[4489,3203,theory(equality)])).
% cnf(4656,plain,(mult(mult(X1,rd(X2,X2)),X4)=mult(mult(X1,rd(ld(X2,X3),ld(X2,X3))),X4)),inference(rw,[status(thm)],[4618,4489,theory(equality)])).
% cnf(7510,plain,(mult(rd(X1,X1),ld(mult(X1,X2),X3))=ld(mult(X1,X2),X3)),inference(spm,[status(thm)],[3764,2010,theory(equality)])).
% cnf(8189,plain,(mult(rd(X1,X1),mult(X1,rd(X3,X3)))=mult(X1,rd(rd(X2,X3),rd(X2,X3)))),inference(spm,[status(thm)],[2010,4304,theory(equality)])).
% cnf(8298,plain,(mult(X1,rd(X3,X3))=mult(X1,rd(rd(X2,X3),rd(X2,X3)))),inference(rw,[status(thm)],[8189,2010,theory(equality)])).
% cnf(8429,plain,(mult(rd(X1,X2),rd(X2,X2))=rd(X1,X2)),inference(spm,[status(thm)],[82,8298,theory(equality)])).
% cnf(8455,negated_conjecture,(mult(esk1_0,rd(ld(esk2_0,esk3_0),ld(esk2_0,esk3_0)))!=mult(esk1_0,rd(esk3_0,esk3_0))|$false),inference(rw,[status(thm)],[4409,8298,theory(equality)])).
% cnf(8456,negated_conjecture,(mult(esk1_0,rd(ld(esk2_0,esk3_0),ld(esk2_0,esk3_0)))!=mult(esk1_0,rd(esk3_0,esk3_0))),inference(cn,[status(thm)],[8455,theory(equality)])).
% cnf(8568,plain,(mult(rd(X1,rd(X2,X2)),rd(X2,X2))=rd(X1,rd(X2,X2))),inference(spm,[status(thm)],[8429,490,theory(equality)])).
% cnf(8575,plain,(rd(mult(X1,rd(X2,X2)),X2)=rd(X1,X2)),inference(rw,[status(thm)],[4447,8429,theory(equality)])).
% cnf(8606,plain,(mult(X1,rd(X2,X2))=rd(X1,rd(X2,X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[8568,4339,theory(equality)]),490,theory(equality)])).
% cnf(11246,plain,(mult(rd(mult(rd(X1,X1),X2),ld(X1,X2)),X3)=mult(mult(X1,rd(X1,X1)),X3)),inference(spm,[status(thm)],[4656,4405,theory(equality)])).
% cnf(11365,plain,(mult(rd(mult(rd(X1,X1),X2),ld(X1,X2)),X3)=mult(X1,X3)),inference(rw,[status(thm)],[11246,82,theory(equality)])).
% cnf(11433,plain,(mult(rd(mult(rd(X1,X1),mult(X1,X2)),mult(rd(X1,X1),X2)),X3)=mult(X1,X3)),inference(spm,[status(thm)],[11365,1976,theory(equality)])).
% cnf(11545,plain,(mult(rd(mult(X1,X2),mult(rd(X1,X1),X2)),X3)=mult(X1,X3)),inference(rw,[status(thm)],[11433,2010,theory(equality)])).
% cnf(11882,plain,(mult(rd(rd(mult(X1,X2),mult(X1,X2)),mult(rd(rd(X1,X1),rd(X1,X1)),rd(mult(X1,X2),mult(X1,X2)))),X3)=mult(rd(X1,X1),X3)),inference(spm,[status(thm)],[11545,4445,theory(equality)])).
% cnf(12038,plain,(mult(rd(mult(X1,X2),mult(X1,X2)),X3)=mult(rd(X1,X1),X3)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11882,8606,theory(equality)]),8429,theory(equality)]),4445,theory(equality)]),490,theory(equality)])).
% cnf(12191,plain,(mult(rd(mult(X1,mult(rd(X2,X2),rd(X3,X3))),mult(X1,mult(rd(X2,X2),rd(X3,X3)))),X4)=mult(rd(rd(X1,X2),rd(X1,X2)),X4)),inference(spm,[status(thm)],[12038,4412,theory(equality)])).
% cnf(12198,plain,(mult(rd(mult(X1,rd(X2,X2)),mult(X1,rd(X2,X2))),X3)=mult(rd(rd(X1,X2),rd(X1,X2)),X3)),inference(spm,[status(thm)],[12038,4339,theory(equality)])).
% cnf(12419,plain,(mult(rd(X1,X1),X4)=mult(rd(rd(X1,X2),rd(X1,X2)),X4)),inference(rw,[status(thm)],[12191,12038,theory(equality)])).
% cnf(12431,plain,(mult(rd(X1,X1),X3)=mult(rd(rd(X1,X2),rd(X1,X2)),X3)),inference(rw,[status(thm)],[12198,12038,theory(equality)])).
% cnf(13039,plain,(mult(rd(X1,X1),rd(rd(rd(X1,X2),rd(X1,X2)),rd(rd(X1,X2),rd(X1,X2))))=rd(rd(X1,X2),rd(X1,X2))),inference(spm,[status(thm)],[82,12419,theory(equality)])).
% cnf(13110,plain,(mult(rd(X1,X1),rd(X1,X2))=mult(rd(X1,X2),rd(rd(X1,X2),rd(X1,X2)))),inference(spm,[status(thm)],[4339,12419,theory(equality)])).
% cnf(13164,plain,(ld(rd(X1,X2),mult(X1,rd(X2,X2)))=mult(rd(X1,X1),X2)),inference(rw,[status(thm)],[3496,12419,theory(equality)])).
% cnf(13176,plain,(mult(rd(X1,X1),rd(X2,X2))=rd(rd(X1,X2),rd(X1,X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13039,8606,theory(equality)]),8429,theory(equality)]),8298,theory(equality)])).
% cnf(13276,plain,(mult(rd(X1,X1),rd(X1,X2))=rd(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[13110,8298,theory(equality)]),8429,theory(equality)])).
% cnf(13379,plain,(mult(rd(mult(X1,rd(X1,X2)),rd(X1,X2)),X3)=mult(X1,X3)),inference(spm,[status(thm)],[11545,13276,theory(equality)])).
% cnf(13430,plain,(mult(mult(X1,rd(X2,X2)),X3)=mult(X1,X3)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[13379,4397,theory(equality)]),8298,theory(equality)])).
% cnf(13464,plain,(rd(mult(X1,rd(X3,X3)),X3)=rd(mult(X1,rd(X2,X2)),X3)),inference(spm,[status(thm)],[8575,13430,theory(equality)])).
% cnf(13476,plain,(mult(X1,ld(mult(X1,rd(X2,X2)),X3))=mult(rd(mult(X1,rd(X2,X2)),mult(X1,rd(X2,X2))),X3)),inference(spm,[status(thm)],[1942,13430,theory(equality)])).
% cnf(13547,plain,(rd(X1,X3)=rd(mult(X1,rd(X2,X2)),X3)),inference(rw,[status(thm)],[13464,8575,theory(equality)])).
% cnf(13559,plain,(mult(X1,ld(mult(X1,rd(X2,X2)),X3))=mult(rd(X1,X1),X3)),inference(rw,[status(thm)],[13476,12038,theory(equality)])).
% cnf(14809,plain,(mult(rd(X1,X1),mult(rd(X2,X2),X3))=mult(rd(X1,X1),X3)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[12431,13176,theory(equality)]),1984,theory(equality)])).
% cnf(14840,plain,(ld(X1,mult(rd(X1,X1),X3))=ld(X1,mult(rd(X2,X2),X3))),inference(spm,[status(thm)],[3376,14809,theory(equality)])).
% cnf(14842,plain,(mult(X1,mult(rd(X1,X1),X3))=mult(X1,mult(rd(X2,X2),X3))),inference(spm,[status(thm)],[1884,14809,theory(equality)])).
% cnf(14946,plain,(ld(X1,X3)=ld(X1,mult(rd(X2,X2),X3))),inference(rw,[status(thm)],[14840,3376,theory(equality)])).
% cnf(14948,plain,(mult(X1,X3)=mult(X1,mult(rd(X2,X2),X3))),inference(rw,[status(thm)],[14842,1884,theory(equality)])).
% cnf(15058,plain,(ld(X1,mult(rd(X2,X2),X3))=ld(X1,mult(X3,rd(mult(X2,X3),mult(X2,X3))))),inference(spm,[status(thm)],[14946,2024,theory(equality)])).
% cnf(15129,plain,(ld(X1,X3)=ld(X1,mult(X3,rd(mult(X2,X3),mult(X2,X3))))),inference(rw,[status(thm)],[15058,14946,theory(equality)])).
% cnf(15209,plain,(mult(rd(X1,X2),mult(X2,rd(X3,X3)))=mult(X1,rd(X3,X3))),inference(rw,[status(thm)],[4412,14948,theory(equality)])).
% cnf(15321,plain,(mult(rd(mult(rd(rd(X1,X2),rd(X1,X2)),mult(X1,rd(X2,X2))),mult(rd(X1,X1),X2)),X3)=mult(rd(X1,X2),X3)),inference(spm,[status(thm)],[11365,13164,theory(equality)])).
% cnf(15382,plain,(mult(rd(X1,mult(rd(X1,X1),X2)),X3)=mult(rd(X1,X2),X3)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15321,13176,theory(equality)]),1984,theory(equality)]),14948,theory(equality)]),2010,theory(equality)]),13547,theory(equality)])).
% cnf(16678,plain,(ld(X1,mult(rd(X1,X1),X3))=mult(rd(X1,X1),ld(mult(X1,rd(X2,X2)),X3))),inference(spm,[status(thm)],[1976,13559,theory(equality)])).
% cnf(16762,plain,(ld(X1,X3)=mult(rd(X1,X1),ld(mult(X1,rd(X2,X2)),X3))),inference(rw,[status(thm)],[16678,3376,theory(equality)])).
% cnf(16763,plain,(ld(X1,X3)=ld(mult(X1,rd(X2,X2)),X3)),inference(rw,[status(thm)],[16762,7510,theory(equality)])).
% cnf(17888,plain,(ld(mult(rd(X1,X2),rd(X3,X3)),X4)=ld(rd(X1,mult(rd(X1,X1),X2)),X4)),inference(spm,[status(thm)],[16763,15382,theory(equality)])).
% cnf(17964,plain,(ld(rd(X1,X2),X4)=ld(rd(X1,mult(rd(X1,X1),X2)),X4)),inference(rw,[status(thm)],[17888,16763,theory(equality)])).
% cnf(18837,plain,(ld(rd(X1,mult(rd(X1,X1),X3)),X4)=ld(rd(X1,mult(rd(X2,X2),X3)),X4)),inference(spm,[status(thm)],[17964,14948,theory(equality)])).
% cnf(18914,plain,(ld(rd(X1,X3),X4)=ld(rd(X1,mult(rd(X2,X2),X3)),X4)),inference(rw,[status(thm)],[18837,17964,theory(equality)])).
% cnf(21983,plain,(ld(rd(X1,mult(X2,X1)),X1)=mult(rd(X1,X1),mult(X2,X1))),inference(spm,[status(thm)],[13164,15129,theory(equality)])).
% cnf(22259,plain,(mult(rd(X1,mult(X2,X1)),mult(rd(X1,X1),mult(X2,X1)))=mult(rd(rd(X1,mult(X2,X1)),rd(X1,mult(X2,X1))),X1)),inference(spm,[status(thm)],[1942,21983,theory(equality)])).
% cnf(22316,plain,(ld(rd(ld(X1,X2),mult(rd(X1,X1),X2)),ld(X1,X2))=mult(rd(ld(X1,X2),ld(X1,X2)),mult(rd(X1,X1),X2))),inference(spm,[status(thm)],[21983,1942,theory(equality)])).
% cnf(22343,plain,(mult(X1,rd(mult(X2,X1),mult(X2,X1)))=mult(rd(rd(X1,mult(X2,X1)),rd(X1,mult(X2,X1))),X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[22259,14948,theory(equality)]),4339,theory(equality)])).
% cnf(22344,plain,(mult(X1,rd(mult(X2,X1),mult(X2,X1)))=X1),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22343,13176,theory(equality)]),1984,theory(equality)]),12038,theory(equality)]),14948,theory(equality)]),4339,theory(equality)]),82,theory(equality)])).
% cnf(22435,plain,(ld(rd(ld(X1,X2),X2),ld(X1,X2))=mult(rd(ld(X1,X2),ld(X1,X2)),mult(rd(X1,X1),X2))),inference(rw,[status(thm)],[22316,18914,theory(equality)])).
% cnf(22436,plain,(ld(rd(ld(X1,X2),X2),ld(X1,X2))=mult(rd(X1,X1),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[22435,3203,theory(equality)]),14809,theory(equality)])).
% cnf(22500,plain,(mult(rd(mult(X1,X2),mult(X1,X2)),rd(X2,X2))=rd(mult(X1,X2),mult(X1,X2))),inference(spm,[status(thm)],[22344,22344,theory(equality)])).
% cnf(22503,plain,(mult(rd(X1,X2),X2)=mult(X1,rd(mult(X3,X2),mult(X3,X2)))),inference(spm,[status(thm)],[15209,22344,theory(equality)])).
% cnf(22638,plain,(mult(rd(X1,X1),rd(X2,X2))=rd(mult(X1,X2),mult(X1,X2))),inference(rw,[status(thm)],[22500,12038,theory(equality)])).
% cnf(22642,plain,(mult(X1,rd(X2,X2))=mult(X1,rd(mult(X3,X2),mult(X3,X2)))),inference(rw,[status(thm)],[22503,4339,theory(equality)])).
% cnf(22795,plain,(rd(rd(X1,X2),rd(X1,X2))=rd(mult(X1,X2),mult(X1,X2))),inference(rw,[status(thm)],[13176,22638,theory(equality)])).
% cnf(24843,plain,(mult(rd(ld(X1,X2),X2),mult(rd(X1,X1),X2))=mult(rd(rd(ld(X1,X2),X2),rd(ld(X1,X2),X2)),ld(X1,X2))),inference(spm,[status(thm)],[1942,22436,theory(equality)])).
% cnf(24910,plain,(mult(ld(X1,X2),rd(X2,X2))=mult(rd(rd(ld(X1,X2),X2),rd(ld(X1,X2),X2)),ld(X1,X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[24843,14948,theory(equality)]),4339,theory(equality)])).
% cnf(24911,plain,(mult(ld(X1,X2),rd(X2,X2))=ld(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[24910,22795,theory(equality)]),12038,theory(equality)]),3203,theory(equality)]),3277,theory(equality)])).
% cnf(25026,plain,(ld(ld(X1,X2),ld(X1,X2))=mult(rd(ld(X1,X2),ld(X1,X2)),rd(X2,X2))),inference(spm,[status(thm)],[1976,24911,theory(equality)])).
% cnf(25083,plain,(rd(ld(X1,X2),ld(X1,X2))=mult(rd(ld(X1,X2),ld(X1,X2)),rd(X2,X2))),inference(rw,[status(thm)],[25026,79,theory(equality)])).
% cnf(25084,plain,(rd(ld(X1,X2),ld(X1,X2))=rd(mult(X1,X2),mult(X1,X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[25083,3203,theory(equality)]),22638,theory(equality)])).
% cnf(25254,negated_conjecture,(mult(esk1_0,rd(mult(esk2_0,esk3_0),mult(esk2_0,esk3_0)))!=mult(esk1_0,rd(esk3_0,esk3_0))),inference(rw,[status(thm)],[8456,25084,theory(equality)])).
% cnf(25660,negated_conjecture,($false),inference(rw,[status(thm)],[25254,22642,theory(equality)])).
% cnf(25661,negated_conjecture,($false),inference(cn,[status(thm)],[25660,theory(equality)])).
% cnf(25662,negated_conjecture,($false),25661,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 383
% # ...of these trivial : 137
% # ...subsumed : 0
% # ...remaining for further processing: 246
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 166
% # Generated clauses : 11715
% # ...of the previous two non-trivial : 5749
% # Contextual simplify-reflections : 0
% # Paramodulations : 11715
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 80
% # Positive orientable unit clauses: 80
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 0
% # Non-unit-clauses : 0
% # Current number of unprocessed clauses: 1578
% # ...number of literals in the above : 1578
% # Clause-clause subsumption calls (NU) : 0
% # Rec. Clause-clause subsumption calls : 0
% # Unit Clause-clause subsumption calls : 0
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 382
% # Indexed BW rewrite successes : 148
% # Backwards rewriting index: 94 leaves, 1.85+/-1.591 terms/leaf
% # Paramod-from index: 66 leaves, 1.21+/-0.508 terms/leaf
% # Paramod-into index: 91 leaves, 1.57+/-1.101 terms/leaf
% # -------------------------------------------------
% # User time : 0.275 s
% # System time : 0.012 s
% # Total time : 0.287 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.66 CPU 0.77 WC
% FINAL PrfWatch: 0.66 CPU 0.77 WC
% SZS output end Solution for /tmp/SystemOnTPTP1276/GRP685+1.tptp
%
%------------------------------------------------------------------------------