TSTP Solution File: GRP654+2 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : GRP654+2 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art09.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 07:15:22 EST 2010
% Result : Theorem 54.59s
% Output : Solution 54.59s
% 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/SystemOnTPTP21081/GRP654+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP21081/GRP654+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP21081/GRP654+2.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 21177
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.91 CPU 4.01 WC
% PrfWatch: 5.90 CPU 6.02 WC
% PrfWatch: 7.90 CPU 8.02 WC
% PrfWatch: 9.88 CPU 10.03 WC
% PrfWatch: 11.87 CPU 12.03 WC
% PrfWatch: 13.47 CPU 14.04 WC
% PrfWatch: 15.11 CPU 16.04 WC
% PrfWatch: 17.10 CPU 18.05 WC
% PrfWatch: 19.09 CPU 20.05 WC
% PrfWatch: 21.07 CPU 22.06 WC
% PrfWatch: 23.06 CPU 24.06 WC
% PrfWatch: 25.04 CPU 26.07 WC
% PrfWatch: 27.03 CPU 28.07 WC
% PrfWatch: 29.02 CPU 30.08 WC
% PrfWatch: 30.99 CPU 32.08 WC
% # Preprocessing time : 0.011 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 33.00 CPU 34.09 WC
% PrfWatch: 34.99 CPU 36.09 WC
% PrfWatch: 36.98 CPU 38.09 WC
% PrfWatch: 38.98 CPU 40.10 WC
% PrfWatch: 40.97 CPU 42.10 WC
% PrfWatch: 42.96 CPU 44.11 WC
% PrfWatch: 44.96 CPU 46.11 WC
% PrfWatch: 46.95 CPU 48.12 WC
% PrfWatch: 48.95 CPU 50.12 WC
% PrfWatch: 50.94 CPU 52.13 WC
% PrfWatch: 52.93 CPU 54.13 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:mult(rd(X2,X1),X1)=X2,file('/tmp/SRASS.s.p', f03)).
% fof(2, axiom,![X1]:![X2]:rd(mult(X2,X1),X1)=X2,file('/tmp/SRASS.s.p', f04)).
% fof(3, axiom,![X1]:![X2]:mult(X2,ld(X2,X1))=X1,file('/tmp/SRASS.s.p', f01)).
% fof(4, axiom,![X1]:![X2]:ld(X2,mult(X2,X1))=X1,file('/tmp/SRASS.s.p', f02)).
% fof(5, axiom,![X3]:![X1]:![X2]:mult(X2,mult(X1,mult(X2,X3)))=mult(mult(mult(X2,X1),X2),X3),file('/tmp/SRASS.s.p', f05)).
% fof(6, conjecture,![X4]:![X5]:(mult(X4,rd(X5,X5))=X4&mult(rd(X5,X5),X4)=X4),file('/tmp/SRASS.s.p', goals)).
% fof(7, negated_conjecture,~(![X4]:![X5]:(mult(X4,rd(X5,X5))=X4&mult(rd(X5,X5),X4)=X4)),inference(assume_negation,[status(cth)],[6])).
% fof(8, plain,![X3]:![X4]:mult(rd(X4,X3),X3)=X4,inference(variable_rename,[status(thm)],[1])).
% cnf(9,plain,(mult(rd(X1,X2),X2)=X1),inference(split_conjunct,[status(thm)],[8])).
% fof(10, plain,![X3]:![X4]:rd(mult(X4,X3),X3)=X4,inference(variable_rename,[status(thm)],[2])).
% cnf(11,plain,(rd(mult(X1,X2),X2)=X1),inference(split_conjunct,[status(thm)],[10])).
% fof(12, plain,![X3]:![X4]:mult(X4,ld(X4,X3))=X3,inference(variable_rename,[status(thm)],[3])).
% cnf(13,plain,(mult(X1,ld(X1,X2))=X2),inference(split_conjunct,[status(thm)],[12])).
% fof(14, plain,![X3]:![X4]:ld(X4,mult(X4,X3))=X3,inference(variable_rename,[status(thm)],[4])).
% cnf(15,plain,(ld(X1,mult(X1,X2))=X2),inference(split_conjunct,[status(thm)],[14])).
% fof(16, plain,![X4]:![X5]:![X6]:mult(X6,mult(X5,mult(X6,X4)))=mult(mult(mult(X6,X5),X6),X4),inference(variable_rename,[status(thm)],[5])).
% cnf(17,plain,(mult(X1,mult(X2,mult(X1,X3)))=mult(mult(mult(X1,X2),X1),X3)),inference(split_conjunct,[status(thm)],[16])).
% fof(18, negated_conjecture,?[X4]:?[X5]:(~(mult(X4,rd(X5,X5))=X4)|~(mult(rd(X5,X5),X4)=X4)),inference(fof_nnf,[status(thm)],[7])).
% fof(19, negated_conjecture,?[X6]:?[X7]:(~(mult(X6,rd(X7,X7))=X6)|~(mult(rd(X7,X7),X6)=X6)),inference(variable_rename,[status(thm)],[18])).
% fof(20, negated_conjecture,(~(mult(esk1_0,rd(esk2_0,esk2_0))=esk1_0)|~(mult(rd(esk2_0,esk2_0),esk1_0)=esk1_0)),inference(skolemize,[status(esa)],[19])).
% cnf(21,negated_conjecture,(mult(rd(esk2_0,esk2_0),esk1_0)!=esk1_0|mult(esk1_0,rd(esk2_0,esk2_0))!=esk1_0),inference(split_conjunct,[status(thm)],[20])).
% cnf(22,plain,(rd(X2,ld(X1,X2))=X1),inference(spm,[status(thm)],[11,13,theory(equality)])).
% cnf(23,plain,(ld(rd(X1,X2),X1)=X2),inference(spm,[status(thm)],[15,9,theory(equality)])).
% cnf(26,plain,(rd(mult(X1,mult(X2,mult(X1,X3))),X3)=mult(mult(X1,X2),X1)),inference(spm,[status(thm)],[11,17,theory(equality)])).
% cnf(28,plain,(mult(mult(X1,mult(X2,mult(X1,mult(X1,X2)))),X3)=mult(mult(X1,X2),mult(X1,mult(mult(X1,X2),X3)))),inference(spm,[status(thm)],[17,17,theory(equality)])).
% cnf(29,plain,(mult(mult(X1,rd(X1,X2)),X3)=mult(rd(X1,X2),mult(X2,mult(rd(X1,X2),X3)))),inference(spm,[status(thm)],[17,9,theory(equality)])).
% cnf(46,plain,(rd(mult(X1,X2),X3)=mult(mult(X1,rd(X2,mult(X1,X3))),X1)),inference(spm,[status(thm)],[26,9,theory(equality)])).
% cnf(55,plain,(rd(rd(mult(X1,X2),X3),X1)=mult(X1,rd(X2,mult(X1,X3)))),inference(spm,[status(thm)],[11,46,theory(equality)])).
% cnf(61,plain,(mult(mult(rd(X1,X2),rd(X3,X1)),rd(X1,X2))=rd(mult(rd(X1,X2),X3),X2)),inference(spm,[status(thm)],[46,9,theory(equality)])).
% cnf(62,plain,(mult(mult(X1,rd(X2,X3)),X1)=rd(mult(X1,X2),ld(X1,X3))),inference(spm,[status(thm)],[46,13,theory(equality)])).
% cnf(77,plain,(rd(rd(X2,X3),X1)=mult(X1,rd(ld(X1,X2),mult(X1,X3)))),inference(spm,[status(thm)],[55,13,theory(equality)])).
% cnf(80,plain,(rd(X1,X1)=mult(X1,rd(X2,mult(X1,X2)))),inference(spm,[status(thm)],[55,11,theory(equality)])).
% cnf(86,plain,(ld(X1,rd(X1,X1))=rd(X2,mult(X1,X2))),inference(spm,[status(thm)],[15,80,theory(equality)])).
% cnf(87,plain,(rd(rd(X1,X1),rd(X2,mult(X1,X2)))=X1),inference(spm,[status(thm)],[11,80,theory(equality)])).
% cnf(96,plain,(mult(rd(X1,X2),rd(X2,X1))=rd(rd(X1,X2),rd(X1,X2))),inference(spm,[status(thm)],[80,9,theory(equality)])).
% cnf(97,plain,(mult(X1,rd(ld(X1,X2),X2))=rd(X1,X1)),inference(spm,[status(thm)],[80,13,theory(equality)])).
% cnf(111,plain,(rd(mult(mult(X1,X2),X1),mult(mult(X1,X2),X1))=mult(X1,mult(X2,mult(X1,rd(ld(mult(mult(X1,X2),X1),X3),X3))))),inference(spm,[status(thm)],[17,97,theory(equality)])).
% cnf(134,plain,(mult(mult(rd(X1,X2),rd(X2,X1)),rd(X1,X2))=rd(X1,X2)),inference(spm,[status(thm)],[9,96,theory(equality)])).
% cnf(170,plain,(rd(X3,mult(X1,X3))=rd(X2,mult(X1,X2))),inference(spm,[status(thm)],[86,86,theory(equality)])).
% cnf(174,plain,(ld(X1,rd(X1,X1))=rd(rd(X2,mult(X1,X2)),rd(X1,X1))),inference(spm,[status(thm)],[86,80,theory(equality)])).
% cnf(175,plain,(ld(rd(X1,X2),mult(rd(X1,X2),rd(X2,X1)))=rd(X3,mult(rd(X1,X2),X3))),inference(spm,[status(thm)],[86,96,theory(equality)])).
% cnf(183,plain,(rd(X2,X1)=rd(X3,mult(rd(X1,X2),X3))),inference(rw,[status(thm)],[175,15,theory(equality)])).
% cnf(185,plain,(mult(rd(X3,X2),mult(rd(X2,X3),X1))=X1),inference(spm,[status(thm)],[9,183,theory(equality)])).
% cnf(186,plain,(ld(rd(X3,X2),X1)=mult(rd(X2,X3),X1)),inference(spm,[status(thm)],[23,183,theory(equality)])).
% cnf(223,plain,(ld(mult(mult(X1,X2),X1),X4)=mult(rd(X3,mult(X1,mult(X2,mult(X1,X3)))),X4)),inference(spm,[status(thm)],[186,26,theory(equality)])).
% cnf(224,plain,(ld(X1,X3)=mult(rd(X2,mult(X1,X2)),X3)),inference(spm,[status(thm)],[186,11,theory(equality)])).
% cnf(536,plain,(rd(rd(X4,mult(X3,X4)),X1)=mult(X1,rd(X2,mult(X1,mult(X3,mult(X1,X2)))))),inference(spm,[status(thm)],[55,170,theory(equality)])).
% cnf(1734,plain,(ld(mult(X1,mult(X2,mult(X1,mult(X1,X2)))),mult(mult(X1,X2),mult(X1,mult(mult(X1,X2),X3))))=X3),inference(spm,[status(thm)],[15,28,theory(equality)])).
% cnf(2006,plain,(mult(rd(X1,X2),mult(X2,X1))=mult(mult(X1,rd(X1,X2)),X2)),inference(spm,[status(thm)],[29,9,theory(equality)])).
% cnf(2100,plain,(rd(mult(rd(X1,X2),mult(X2,X1)),X2)=mult(X1,rd(X1,X2))),inference(spm,[status(thm)],[11,2006,theory(equality)])).
% cnf(2147,plain,(mult(rd(X1,X1),mult(X1,X1))=mult(rd(X1,mult(X1,X1)),mult(mult(X1,X1),X1))),inference(spm,[status(thm)],[2006,80,theory(equality)])).
% cnf(2166,plain,(mult(rd(X1,X1),mult(X1,X1))=ld(X1,mult(mult(X1,X1),X1))),inference(rw,[status(thm)],[2147,224,theory(equality)])).
% cnf(2242,plain,(mult(X1,mult(rd(X1,X1),mult(X1,X1)))=mult(mult(X1,X1),X1)),inference(spm,[status(thm)],[13,2166,theory(equality)])).
% cnf(2306,plain,(rd(mult(mult(X1,X1),X1),X1)=mult(mult(X1,rd(X1,X1)),X1)),inference(spm,[status(thm)],[26,2242,theory(equality)])).
% cnf(2345,plain,(mult(X1,X1)=mult(mult(X1,rd(X1,X1)),X1)),inference(rw,[status(thm)],[2306,11,theory(equality)])).
% cnf(2346,plain,(mult(X1,X1)=mult(rd(X1,X1),mult(X1,X1))),inference(rw,[status(thm)],[2345,2006,theory(equality)])).
% cnf(2381,plain,(rd(mult(X1,X1),X1)=mult(X1,rd(X1,X1))),inference(spm,[status(thm)],[2100,2346,theory(equality)])).
% cnf(2406,plain,(X1=mult(X1,rd(X1,X1))),inference(rw,[status(thm)],[2381,11,theory(equality)])).
% cnf(2416,plain,(rd(rd(rd(X1,X2),rd(X1,X2)),rd(X1,X2))=rd(X2,X1)),inference(spm,[status(thm)],[183,2406,theory(equality)])).
% cnf(2418,plain,(ld(X1,X1)=rd(X1,X1)),inference(spm,[status(thm)],[15,2406,theory(equality)])).
% cnf(2419,plain,(rd(X1,rd(X1,X1))=X1),inference(spm,[status(thm)],[11,2406,theory(equality)])).
% cnf(2420,plain,(mult(mult(X1,X1),X2)=mult(X1,mult(rd(X1,X1),mult(X1,X2)))),inference(spm,[status(thm)],[17,2406,theory(equality)])).
% cnf(2425,plain,(rd(rd(X1,X2),X1)=mult(X1,rd(rd(X1,X1),mult(X1,X2)))),inference(spm,[status(thm)],[55,2406,theory(equality)])).
% cnf(2427,plain,(ld(X1,rd(X1,X1))=rd(rd(X1,X1),X1)),inference(spm,[status(thm)],[86,2406,theory(equality)])).
% cnf(2428,plain,(mult(X1,rd(rd(X1,X1),X1))=rd(X1,X1)),inference(spm,[status(thm)],[80,2406,theory(equality)])).
% cnf(2429,plain,(rd(rd(X1,X1),rd(rd(X1,X1),X1))=X1),inference(spm,[status(thm)],[87,2406,theory(equality)])).
% cnf(2434,plain,(rd(rd(X1,X1),X1)=rd(X2,mult(X1,X2))),inference(spm,[status(thm)],[170,2406,theory(equality)])).
% cnf(2441,plain,(mult(rd(X1,X2),mult(rd(X1,X2),rd(X2,X1)))=rd(X1,X2)),inference(spm,[status(thm)],[2406,96,theory(equality)])).
% cnf(2445,plain,(rd(mult(rd(X1,X2),rd(X2,X1)),rd(X1,X2))=rd(X2,X1)),inference(rw,[status(thm)],[2416,96,theory(equality)])).
% cnf(2460,plain,(mult(mult(rd(rd(X1,X1),X1),X1),rd(rd(X1,X1),X1))=rd(rd(X1,X1),X1)),inference(spm,[status(thm)],[134,2419,theory(equality)])).
% cnf(2466,plain,(mult(rd(X1,X1),rd(rd(X1,X1),X1))=rd(rd(X1,X1),X1)),inference(rw,[status(thm)],[2460,9,theory(equality)])).
% cnf(2761,plain,(rd(rd(X1,mult(X2,X1)),rd(X2,X2))=rd(rd(X2,X2),X2)),inference(rw,[status(thm)],[174,2427,theory(equality)])).
% cnf(3482,plain,(rd(rd(X1,X1),X1)=rd(rd(ld(X1,X2),X2),rd(X1,X1))),inference(spm,[status(thm)],[2434,97,theory(equality)])).
% cnf(4131,plain,(mult(rd(X1,X1),mult(mult(X1,X1),X2))=mult(mult(X1,rd(X1,X1)),mult(X1,X2))),inference(spm,[status(thm)],[29,2420,theory(equality)])).
% cnf(4158,plain,(mult(X1,mult(mult(X1,rd(X1,X1)),X2))=mult(mult(X1,X1),mult(rd(X1,X1),X2))),inference(spm,[status(thm)],[2420,29,theory(equality)])).
% cnf(4200,plain,(mult(rd(X1,X1),mult(mult(X1,X1),X2))=mult(X1,mult(X1,X2))),inference(rw,[status(thm)],[4131,2406,theory(equality)])).
% cnf(4224,plain,(mult(X1,mult(X1,X2))=mult(mult(X1,X1),mult(rd(X1,X1),X2))),inference(rw,[status(thm)],[4158,2406,theory(equality)])).
% cnf(4236,plain,(ld(X1,rd(rd(X1,X2),X1))=rd(rd(X1,X1),mult(X1,X2))),inference(spm,[status(thm)],[15,2425,theory(equality)])).
% cnf(4374,plain,(mult(rd(X1,X1),mult(X1,rd(rd(X1,X1),X1)))=mult(mult(X1,rd(X1,X1)),rd(rd(X1,X1),X1))),inference(spm,[status(thm)],[29,2466,theory(equality)])).
% cnf(4415,plain,(mult(rd(X1,X1),rd(X1,X1))=mult(mult(X1,rd(X1,X1)),rd(rd(X1,X1),X1))),inference(rw,[status(thm)],[4374,2428,theory(equality)])).
% cnf(4416,plain,(mult(rd(X1,X1),rd(X1,X1))=rd(X1,X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4415,2406,theory(equality)]),2428,theory(equality)])).
% cnf(5096,plain,(mult(mult(X1,X1),rd(rd(X1,X1),X1))=mult(X1,mult(X1,rd(rd(X1,X1),X1)))),inference(spm,[status(thm)],[4224,2466,theory(equality)])).
% cnf(5157,plain,(mult(mult(X1,X1),rd(rd(X1,X1),X1))=X1),inference(rw,[status(thm)],[inference(rw,[status(thm)],[5096,2428,theory(equality)]),2406,theory(equality)])).
% cnf(5175,plain,(rd(X1,rd(rd(X1,X1),X1))=mult(X1,X1)),inference(spm,[status(thm)],[11,5157,theory(equality)])).
% cnf(5254,plain,(rd(X1,rd(X2,mult(X1,X2)))=mult(X1,X1)),inference(spm,[status(thm)],[5175,2434,theory(equality)])).
% cnf(5268,plain,(ld(mult(X1,X1),X3)=mult(rd(rd(X2,mult(X1,X2)),X1),X3)),inference(spm,[status(thm)],[186,5254,theory(equality)])).
% cnf(5286,plain,(rd(rd(X1,X2),rd(mult(rd(X2,X1),X3),X3))=mult(rd(X1,X2),rd(X1,X2))),inference(spm,[status(thm)],[5254,185,theory(equality)])).
% cnf(5294,plain,(rd(rd(X1,mult(X2,X1)),rd(X3,ld(X2,X3)))=mult(rd(X1,mult(X2,X1)),rd(X1,mult(X2,X1)))),inference(spm,[status(thm)],[5254,224,theory(equality)])).
% cnf(5323,plain,(rd(rd(X1,X2),rd(X2,X1))=mult(rd(X1,X2),rd(X1,X2))),inference(rw,[status(thm)],[5286,11,theory(equality)])).
% cnf(5336,plain,(rd(rd(X1,mult(X2,X1)),X2)=mult(rd(X1,mult(X2,X1)),rd(X1,mult(X2,X1)))),inference(rw,[status(thm)],[5294,22,theory(equality)])).
% cnf(5337,plain,(rd(rd(X1,mult(X2,X1)),X2)=ld(X2,rd(X1,mult(X2,X1)))),inference(rw,[status(thm)],[5336,224,theory(equality)])).
% cnf(16026,plain,(ld(rd(X1,mult(X2,X1)),rd(rd(rd(X2,X2),X2),rd(X1,mult(X2,X1))))=rd(rd(rd(X1,mult(X2,X1)),rd(X1,mult(X2,X1))),mult(rd(X1,mult(X2,X1)),rd(X2,X2)))),inference(spm,[status(thm)],[4236,2761,theory(equality)])).
% cnf(16074,plain,(mult(X2,rd(rd(rd(X2,X2),X2),rd(X1,mult(X2,X1))))=rd(rd(rd(X1,mult(X2,X1)),rd(X1,mult(X2,X1))),mult(rd(X1,mult(X2,X1)),rd(X2,X2)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[16026,186,theory(equality)]),11,theory(equality)])).
% cnf(16075,plain,(mult(X2,rd(rd(rd(X2,X2),X2),rd(X1,mult(X2,X1))))=X2),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16074,96,theory(equality)]),11,theory(equality)]),224,theory(equality)]),2418,theory(equality)]),224,theory(equality)]),2427,theory(equality)]),2429,theory(equality)])).
% cnf(19136,plain,(ld(X1,X1)=rd(rd(rd(X1,X1),X1),rd(X2,mult(X1,X2)))),inference(spm,[status(thm)],[15,16075,theory(equality)])).
% cnf(19292,plain,(rd(X1,X1)=rd(rd(rd(X1,X1),X1),rd(X2,mult(X1,X2)))),inference(rw,[status(thm)],[19136,2418,theory(equality)])).
% cnf(19855,plain,(rd(rd(X3,mult(X1,X3)),rd(X2,mult(X1,X2)))=rd(X1,X1)),inference(spm,[status(thm)],[19292,2434,theory(equality)])).
% cnf(20174,plain,(mult(rd(X2,X2),mult(mult(rd(X1,mult(X2,X1)),rd(X1,mult(X2,X1))),X3))=mult(rd(X1,mult(X2,X1)),mult(rd(X1,mult(X2,X1)),X3))),inference(spm,[status(thm)],[4200,19855,theory(equality)])).
% cnf(20382,plain,(mult(rd(X2,X2),ld(mult(X2,X2),X3))=mult(rd(X1,mult(X2,X1)),mult(rd(X1,mult(X2,X1)),X3))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20174,224,theory(equality)]),5337,theory(equality)]),5268,theory(equality)])).
% cnf(20383,plain,(mult(rd(X2,X2),ld(mult(X2,X2),X3))=ld(X2,ld(X2,X3))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[20382,224,theory(equality)]),224,theory(equality)])).
% cnf(22321,plain,(ld(X1,rd(rd(X2,X3),X1))=rd(ld(X1,X2),mult(X1,X3))),inference(spm,[status(thm)],[15,77,theory(equality)])).
% cnf(30992,plain,(ld(X1,rd(X2,X1))=rd(ld(X1,mult(X2,X3)),mult(X1,X3))),inference(spm,[status(thm)],[22321,11,theory(equality)])).
% cnf(44123,plain,(rd(ld(rd(X1,X2),mult(X3,mult(rd(X2,X1),X4))),X4)=ld(rd(X1,X2),rd(X3,rd(X1,X2)))),inference(spm,[status(thm)],[30992,185,theory(equality)])).
% cnf(44138,plain,(rd(ld(rd(X1,mult(X2,X1)),mult(X3,X4)),ld(X2,X4))=ld(rd(X1,mult(X2,X1)),rd(X3,rd(X1,mult(X2,X1))))),inference(spm,[status(thm)],[30992,224,theory(equality)])).
% cnf(44348,plain,(mult(mult(rd(X2,X1),X3),rd(X2,X1))=ld(rd(X1,X2),rd(X3,rd(X1,X2)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[44123,186,theory(equality)]),26,theory(equality)])).
% cnf(44349,plain,(mult(mult(rd(X2,X1),X3),rd(X2,X1))=mult(rd(X2,X1),rd(X3,rd(X1,X2)))),inference(rw,[status(thm)],[44348,186,theory(equality)])).
% cnf(44378,plain,(mult(mult(X2,X3),X2)=ld(rd(X1,mult(X2,X1)),rd(X3,rd(X1,mult(X2,X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[44138,186,theory(equality)]),11,theory(equality)]),62,theory(equality)]),11,theory(equality)])).
% cnf(44379,plain,(mult(mult(X2,X3),X2)=mult(X2,rd(X3,rd(X1,mult(X2,X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[44378,186,theory(equality)]),11,theory(equality)])).
% cnf(44982,plain,(mult(X1,X2)=mult(mult(X1,mult(X2,rd(X3,mult(X1,X3)))),X1)),inference(spm,[status(thm)],[44379,11,theory(equality)])).
% cnf(48421,plain,(rd(mult(X1,X2),X1)=mult(X1,mult(X2,rd(X3,mult(X1,X3))))),inference(spm,[status(thm)],[11,44982,theory(equality)])).
% cnf(49005,plain,(mult(rd(X1,X2),mult(X3,rd(mult(rd(X1,X2),rd(X2,X1)),rd(X1,X2))))=rd(mult(rd(X1,X2),X3),rd(X1,X2))),inference(spm,[status(thm)],[48421,2441,theory(equality)])).
% cnf(49035,plain,(mult(X1,mult(X2,rd(rd(ld(X1,X3),X3),rd(X1,X1))))=rd(mult(X1,X2),X1)),inference(spm,[status(thm)],[48421,97,theory(equality)])).
% cnf(49184,plain,(mult(rd(X1,X2),mult(X3,rd(X2,X1)))=rd(mult(rd(X1,X2),X3),rd(X1,X2))),inference(rw,[status(thm)],[49005,2445,theory(equality)])).
% cnf(49205,plain,(mult(X1,mult(X2,rd(rd(X1,X1),X1)))=rd(mult(X1,X2),X1)),inference(rw,[status(thm)],[49035,3482,theory(equality)])).
% cnf(49892,plain,(ld(X1,rd(mult(X1,X2),X1))=mult(X2,rd(rd(X1,X1),X1))),inference(spm,[status(thm)],[15,49205,theory(equality)])).
% cnf(83072,plain,(rd(rd(rd(X1,X1),rd(X1,X1)),rd(X1,X1))=rd(ld(mult(X1,X1),X2),ld(X1,ld(X1,X2)))),inference(spm,[status(thm)],[2434,20383,theory(equality)])).
% cnf(83251,plain,(rd(X1,X1)=rd(ld(mult(X1,X1),X2),ld(X1,ld(X1,X2)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[83072,96,theory(equality)]),4416,theory(equality)]),96,theory(equality)]),4416,theory(equality)])).
% cnf(97989,plain,(mult(X1,mult(rd(X2,mult(X1,mult(X3,mult(X1,X2)))),mult(X1,rd(ld(mult(rd(rd(X5,mult(X3,X5)),X1),X1),X4),X4))))=rd(mult(rd(rd(X5,mult(X3,X5)),X1),X1),mult(rd(rd(X5,mult(X3,X5)),X1),X1))),inference(spm,[status(thm)],[111,536,theory(equality)])).
% cnf(98606,plain,(mult(X1,ld(mult(mult(X1,X3),X1),mult(X1,X3)))=rd(mult(rd(rd(X5,mult(X3,X5)),X1),X1),mult(rd(rd(X5,mult(X3,X5)),X1),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[97989,9,theory(equality)]),186,theory(equality)]),11,theory(equality)]),11,theory(equality)]),223,theory(equality)])).
% cnf(98607,plain,(mult(X1,ld(mult(mult(X1,X3),X1),mult(X1,X3)))=rd(X3,X3)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[98606,9,theory(equality)]),9,theory(equality)]),19855,theory(equality)])).
% cnf(99166,plain,(mult(rd(X1,X2),ld(mult(X1,rd(X1,X2)),X1))=rd(X2,X2)),inference(spm,[status(thm)],[98607,9,theory(equality)])).
% cnf(99641,plain,(ld(rd(X1,X2),rd(rd(X2,X2),rd(X1,X2)))=mult(ld(mult(X1,rd(X1,X2)),X1),rd(rd(rd(X1,X2),rd(X1,X2)),rd(X1,X2)))),inference(spm,[status(thm)],[49892,99166,theory(equality)])).
% cnf(99839,plain,(mult(X2,ld(mult(X1,X2),X1))=rd(ld(X2,X1),ld(X2,X1))),inference(spm,[status(thm)],[99166,22,theory(equality)])).
% cnf(100047,plain,(rd(mult(rd(X2,X1),X2),X1)=mult(ld(mult(X1,rd(X1,X2)),X1),rd(rd(rd(X1,X2),rd(X1,X2)),rd(X1,X2)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[99641,186,theory(equality)]),44349,theory(equality)]),61,theory(equality)])).
% cnf(100048,plain,(rd(mult(rd(X2,X1),X2),X1)=mult(ld(mult(X1,rd(X1,X2)),X1),rd(X2,X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[100047,96,theory(equality)]),49184,theory(equality)]),185,theory(equality)])).
% cnf(102001,plain,(mult(mult(X1,ld(mult(X2,X1),X2)),ld(X1,X2))=ld(X1,X2)),inference(spm,[status(thm)],[9,99839,theory(equality)])).
% cnf(365074,plain,(ld(mult(X1,ld(mult(X2,X1),X2)),ld(X1,X2))=ld(X1,X2)),inference(spm,[status(thm)],[15,102001,theory(equality)])).
% cnf(935204,plain,(mult(ld(mult(X1,rd(X3,mult(X2,X3))),X1),rd(mult(X2,X1),X1))=rd(mult(rd(mult(X2,X1),X1),mult(X2,X1)),X1)),inference(spm,[status(thm)],[100048,170,theory(equality)])).
% cnf(936452,plain,(mult(ld(mult(X1,rd(X3,mult(X2,X3))),X1),X2)=rd(mult(rd(mult(X2,X1),X1),mult(X2,X1)),X1)),inference(rw,[status(thm)],[935204,11,theory(equality)])).
% cnf(936453,plain,(mult(ld(mult(X1,rd(X3,mult(X2,X3))),X1),X2)=rd(mult(X2,mult(X2,X1)),X1)),inference(rw,[status(thm)],[936452,11,theory(equality)])).
% cnf(1096824,plain,(mult(ld(mult(X1,rd(ld(mult(X2,X2),X3),ld(X2,ld(X2,X3)))),X1),rd(X2,X2))=rd(mult(rd(X2,X2),mult(rd(X2,X2),X1)),X1)),inference(spm,[status(thm)],[936453,20383,theory(equality)])).
% cnf(1097566,plain,(mult(ld(mult(X1,rd(X2,X2)),X1),rd(X2,X2))=rd(mult(rd(X2,X2),mult(rd(X2,X2),X1)),X1)),inference(rw,[status(thm)],[1096824,83251,theory(equality)])).
% cnf(1097567,plain,(mult(ld(mult(X1,rd(X2,X2)),X1),rd(X2,X2))=rd(X1,X1)),inference(rw,[status(thm)],[1097566,185,theory(equality)])).
% cnf(1097899,plain,(rd(rd(X1,X1),rd(X2,X2))=ld(mult(X1,rd(X2,X2)),X1)),inference(spm,[status(thm)],[11,1097567,theory(equality)])).
% cnf(1099101,plain,(mult(mult(X1,rd(X2,X2)),rd(rd(X1,X1),rd(X2,X2)))=X1),inference(spm,[status(thm)],[13,1097899,theory(equality)])).
% cnf(1099181,plain,(rd(X1,rd(rd(X1,X1),rd(X2,X2)))=mult(X1,rd(X2,X2))),inference(spm,[status(thm)],[22,1097899,theory(equality)])).
% cnf(1101260,plain,(mult(mult(rd(X1,X1),rd(X2,X2)),rd(mult(rd(X1,X1),rd(X1,X1)),rd(X2,X2)))=rd(X1,X1)),inference(spm,[status(thm)],[1099101,5323,theory(equality)])).
% cnf(1101812,plain,(mult(mult(rd(X1,X1),rd(X2,X2)),rd(rd(X1,X1),rd(X2,X2)))=rd(X1,X1)),inference(rw,[status(thm)],[1101260,4416,theory(equality)])).
% cnf(1109742,plain,(ld(mult(rd(X1,X1),mult(rd(X2,X2),mult(rd(X1,X1),mult(rd(X1,X1),rd(X2,X2))))),mult(mult(rd(X1,X1),rd(X2,X2)),mult(rd(X1,X1),rd(X1,X1))))=rd(rd(X1,X1),rd(X2,X2))),inference(spm,[status(thm)],[1734,1101812,theory(equality)])).
% cnf(1110469,plain,(rd(X1,X1)=rd(rd(X1,X1),rd(X2,X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1109742,185,theory(equality)]),4416,theory(equality)]),4416,theory(equality)]),15,theory(equality)])).
% cnf(1111503,plain,(X1=mult(X1,rd(X2,X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1099181,1110469,theory(equality)]),2419,theory(equality)])).
% cnf(1113139,plain,(ld(mult(rd(X1,X1),ld(X2,X2)),ld(rd(X1,X1),X2))=ld(rd(X1,X1),X2)),inference(spm,[status(thm)],[365074,1111503,theory(equality)])).
% cnf(1113703,negated_conjecture,($false|mult(rd(esk2_0,esk2_0),esk1_0)!=esk1_0),inference(rw,[status(thm)],[21,1111503,theory(equality)])).
% cnf(1113704,negated_conjecture,(mult(rd(esk2_0,esk2_0),esk1_0)!=esk1_0),inference(cn,[status(thm)],[1113703,theory(equality)])).
% cnf(1114251,plain,(X2=ld(rd(X1,X1),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1113139,2418,theory(equality)]),1111503,theory(equality)]),186,theory(equality)]),186,theory(equality)]),185,theory(equality)])).
% cnf(1114252,plain,(X2=mult(rd(X1,X1),X2)),inference(rw,[status(thm)],[1114251,186,theory(equality)])).
% cnf(1118157,negated_conjecture,($false),inference(rw,[status(thm)],[1113704,1114252,theory(equality)])).
% cnf(1118158,negated_conjecture,($false),inference(cn,[status(thm)],[1118157,theory(equality)])).
% cnf(1118159,negated_conjecture,($false),1118158,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 8295
% # ...of these trivial : 3884
% # ...subsumed : 3416
% # ...remaining for further processing: 995
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 356
% # Generated clauses : 574417
% # ...of the previous two non-trivial : 485790
% # Contextual simplify-reflections : 0
% # Paramodulations : 574417
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 639
% # Positive orientable unit clauses: 604
% # Positive unorientable unit clauses: 35
% # Negative unit clauses : 0
% # Non-unit-clauses : 0
% # Current number of unprocessed clauses: 303241
% # ...number of literals in the above : 303241
% # Clause-clause subsumption calls (NU) : 0
% # Rec. Clause-clause subsumption calls : 0
% # Unit Clause-clause subsumption calls : 632
% # Rewrite failures with RHS unbound : 1178
% # Indexed BW rewrite attempts : 10113
% # Indexed BW rewrite successes : 532
% # Backwards rewriting index: 396 leaves, 4.23+/-9.771 terms/leaf
% # Paramod-from index: 316 leaves, 2.07+/-1.965 terms/leaf
% # Paramod-into index: 374 leaves, 3.58+/-6.966 terms/leaf
% # -------------------------------------------------
% # User time : 30.023 s
% # System time : 1.095 s
% # Total time : 31.118 s
% # Maximum resident set size: 0 pages
% PrfWatch: 53.66 CPU 54.87 WC
% FINAL PrfWatch: 53.66 CPU 54.87 WC
% SZS output end Solution for /tmp/SystemOnTPTP21081/GRP654+2.tptp
%
%------------------------------------------------------------------------------