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SRASS---0.1.THM-Sol.s

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SystemOnTSTP
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%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : ALG219+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art07.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Tue Dec 28 21:16:36 EST 2010

% Result   : Theorem 1.33s
% Output   : Solution 1.33s
% 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/SystemOnTPTP13993/ALG219+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP13993/ALG219+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP13993/ALG219+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 14089
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time     : 0.027 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(5, axiom,![X1]:(((((((((((((~(v3_struct_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v4_group_1(X1))&v7_group_1(X1))&v6_vectsp_1(X1))&v7_vectsp_1(X1))&v8_vectsp_1(X1))&~(v10_vectsp_1(X1)))&v2_vectsp_2(X1))&l3_vectsp_1(X1))=>![X2]:(((((((~(v3_struct_0(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v5_rlvect_1(X2))&v6_rlvect_1(X2))&v5_vectsp_2(X2,X1))&l1_vectsp_2(X2,X1))=>![X3]:(m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))=>![X4]:((v3_vectsp_2(X4,X1)&m1_rmod_2(X4,X1,X2))=>(X3=u1_struct_0(X4)=>(k1_rlvect_1(X1)=k2_group_1(X1)|k1_rmod_5(X1,X2,X3)=X4)))))),file('/tmp/SRASS.s.p', t13_rmod_5)).
% fof(10, axiom,![X1]:![X2]:(((((((((((((((((~(v3_struct_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v4_group_1(X1))&v6_vectsp_1(X1))&v7_vectsp_1(X1))&v8_vectsp_1(X1))&l3_vectsp_1(X1))&~(v3_struct_0(X2)))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v5_rlvect_1(X2))&v6_rlvect_1(X2))&v5_vectsp_2(X2,X1))&l1_vectsp_2(X2,X1))=>(v3_vectsp_2(k2_rmod_2(X1,X2),X1)&m1_rmod_2(k2_rmod_2(X1,X2),X1,X2))),file('/tmp/SRASS.s.p', dt_k2_rmod_2)).
% fof(13, axiom,![X1]:((((((((((~(v3_struct_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v4_group_1(X1))&v6_vectsp_1(X1))&v7_vectsp_1(X1))&v8_vectsp_1(X1))&l3_vectsp_1(X1))=>![X2]:(((((((~(v3_struct_0(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v5_rlvect_1(X2))&v6_rlvect_1(X2))&v5_vectsp_2(X2,X1))&l1_vectsp_2(X2,X1))=>k2_rmod_2(X1,X2)=g1_vectsp_2(X1,u1_struct_0(X2),u1_rlvect_1(X2),u2_struct_0(X2),u1_vectsp_2(X1,X2)))),file('/tmp/SRASS.s.p', d4_rmod_2)).
% fof(44, axiom,![X1]:![X2]:((l1_struct_0(X1)&l1_vectsp_2(X2,X1))=>(v3_vectsp_2(X2,X1)=>X2=g1_vectsp_2(X1,u1_struct_0(X2),u1_rlvect_1(X2),u2_struct_0(X2),u1_vectsp_2(X1,X2)))),file('/tmp/SRASS.s.p', abstractness_v3_vectsp_2)).
% fof(53, axiom,![X1]:(l3_vectsp_1(X1)=>(l1_rlvect_1(X1)&l2_vectsp_1(X1))),file('/tmp/SRASS.s.p', dt_l3_vectsp_1)).
% fof(57, axiom,![X1]:(l2_struct_0(X1)=>l1_struct_0(X1)),file('/tmp/SRASS.s.p', dt_l2_struct_0)).
% fof(64, axiom,![X1]:(l2_vectsp_1(X1)=>(l1_vectsp_1(X1)&l2_struct_0(X1))),file('/tmp/SRASS.s.p', dt_l2_vectsp_1)).
% fof(72, conjecture,![X1]:(((((((((((((~(v3_struct_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v4_group_1(X1))&v7_group_1(X1))&v6_vectsp_1(X1))&v7_vectsp_1(X1))&v8_vectsp_1(X1))&~(v10_vectsp_1(X1)))&v2_vectsp_2(X1))&l3_vectsp_1(X1))=>![X2]:((((((((~(v3_struct_0(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v5_rlvect_1(X2))&v6_rlvect_1(X2))&v3_vectsp_2(X2,X1))&v5_vectsp_2(X2,X1))&l1_vectsp_2(X2,X1))=>![X3]:(m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))=>(X3=u1_struct_0(X2)=>(k1_rlvect_1(X1)=k2_group_1(X1)|k1_rmod_5(X1,X2,X3)=X2))))),file('/tmp/SRASS.s.p', t14_rmod_5)).
% fof(73, negated_conjecture,~(![X1]:(((((((((((((~(v3_struct_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v4_group_1(X1))&v7_group_1(X1))&v6_vectsp_1(X1))&v7_vectsp_1(X1))&v8_vectsp_1(X1))&~(v10_vectsp_1(X1)))&v2_vectsp_2(X1))&l3_vectsp_1(X1))=>![X2]:((((((((~(v3_struct_0(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v5_rlvect_1(X2))&v6_rlvect_1(X2))&v3_vectsp_2(X2,X1))&v5_vectsp_2(X2,X1))&l1_vectsp_2(X2,X1))=>![X3]:(m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))=>(X3=u1_struct_0(X2)=>(k1_rlvect_1(X1)=k2_group_1(X1)|k1_rmod_5(X1,X2,X3)=X2)))))),inference(assume_negation,[status(cth)],[72])).
% fof(76, plain,![X1]:(((((((((((((~(v3_struct_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v4_group_1(X1))&v7_group_1(X1))&v6_vectsp_1(X1))&v7_vectsp_1(X1))&v8_vectsp_1(X1))&~(v10_vectsp_1(X1)))&v2_vectsp_2(X1))&l3_vectsp_1(X1))=>![X2]:(((((((~(v3_struct_0(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v5_rlvect_1(X2))&v6_rlvect_1(X2))&v5_vectsp_2(X2,X1))&l1_vectsp_2(X2,X1))=>![X3]:(m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))=>![X4]:((v3_vectsp_2(X4,X1)&m1_rmod_2(X4,X1,X2))=>(X3=u1_struct_0(X4)=>(k1_rlvect_1(X1)=k2_group_1(X1)|k1_rmod_5(X1,X2,X3)=X4)))))),inference(fof_simplification,[status(thm)],[5,theory(equality)])).
% fof(81, plain,![X1]:![X2]:(((((((((((((((((~(v3_struct_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v4_group_1(X1))&v6_vectsp_1(X1))&v7_vectsp_1(X1))&v8_vectsp_1(X1))&l3_vectsp_1(X1))&~(v3_struct_0(X2)))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v5_rlvect_1(X2))&v6_rlvect_1(X2))&v5_vectsp_2(X2,X1))&l1_vectsp_2(X2,X1))=>(v3_vectsp_2(k2_rmod_2(X1,X2),X1)&m1_rmod_2(k2_rmod_2(X1,X2),X1,X2))),inference(fof_simplification,[status(thm)],[10,theory(equality)])).
% fof(83, plain,![X1]:((((((((((~(v3_struct_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v4_group_1(X1))&v6_vectsp_1(X1))&v7_vectsp_1(X1))&v8_vectsp_1(X1))&l3_vectsp_1(X1))=>![X2]:(((((((~(v3_struct_0(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v5_rlvect_1(X2))&v6_rlvect_1(X2))&v5_vectsp_2(X2,X1))&l1_vectsp_2(X2,X1))=>k2_rmod_2(X1,X2)=g1_vectsp_2(X1,u1_struct_0(X2),u1_rlvect_1(X2),u2_struct_0(X2),u1_vectsp_2(X1,X2)))),inference(fof_simplification,[status(thm)],[13,theory(equality)])).
% fof(97, negated_conjecture,~(![X1]:(((((((((((((~(v3_struct_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v4_group_1(X1))&v7_group_1(X1))&v6_vectsp_1(X1))&v7_vectsp_1(X1))&v8_vectsp_1(X1))&~(v10_vectsp_1(X1)))&v2_vectsp_2(X1))&l3_vectsp_1(X1))=>![X2]:((((((((~(v3_struct_0(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v5_rlvect_1(X2))&v6_rlvect_1(X2))&v3_vectsp_2(X2,X1))&v5_vectsp_2(X2,X1))&l1_vectsp_2(X2,X1))=>![X3]:(m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))=>(X3=u1_struct_0(X2)=>(k1_rlvect_1(X1)=k2_group_1(X1)|k1_rmod_5(X1,X2,X3)=X2)))))),inference(fof_simplification,[status(thm)],[73,theory(equality)])).
% fof(127, plain,![X1]:(((((((((((((v3_struct_0(X1)|~(v3_rlvect_1(X1)))|~(v4_rlvect_1(X1)))|~(v5_rlvect_1(X1)))|~(v6_rlvect_1(X1)))|~(v4_group_1(X1)))|~(v7_group_1(X1)))|~(v6_vectsp_1(X1)))|~(v7_vectsp_1(X1)))|~(v8_vectsp_1(X1)))|v10_vectsp_1(X1))|~(v2_vectsp_2(X1)))|~(l3_vectsp_1(X1)))|![X2]:(((((((v3_struct_0(X2)|~(v3_rlvect_1(X2)))|~(v4_rlvect_1(X2)))|~(v5_rlvect_1(X2)))|~(v6_rlvect_1(X2)))|~(v5_vectsp_2(X2,X1)))|~(l1_vectsp_2(X2,X1)))|![X3]:(~(m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))))|![X4]:((~(v3_vectsp_2(X4,X1))|~(m1_rmod_2(X4,X1,X2)))|(~(X3=u1_struct_0(X4))|(k1_rlvect_1(X1)=k2_group_1(X1)|k1_rmod_5(X1,X2,X3)=X4)))))),inference(fof_nnf,[status(thm)],[76])).
% fof(128, plain,![X5]:(((((((((((((v3_struct_0(X5)|~(v3_rlvect_1(X5)))|~(v4_rlvect_1(X5)))|~(v5_rlvect_1(X5)))|~(v6_rlvect_1(X5)))|~(v4_group_1(X5)))|~(v7_group_1(X5)))|~(v6_vectsp_1(X5)))|~(v7_vectsp_1(X5)))|~(v8_vectsp_1(X5)))|v10_vectsp_1(X5))|~(v2_vectsp_2(X5)))|~(l3_vectsp_1(X5)))|![X6]:(((((((v3_struct_0(X6)|~(v3_rlvect_1(X6)))|~(v4_rlvect_1(X6)))|~(v5_rlvect_1(X6)))|~(v6_rlvect_1(X6)))|~(v5_vectsp_2(X6,X5)))|~(l1_vectsp_2(X6,X5)))|![X7]:(~(m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6))))|![X8]:((~(v3_vectsp_2(X8,X5))|~(m1_rmod_2(X8,X5,X6)))|(~(X7=u1_struct_0(X8))|(k1_rlvect_1(X5)=k2_group_1(X5)|k1_rmod_5(X5,X6,X7)=X8)))))),inference(variable_rename,[status(thm)],[127])).
% fof(129, plain,![X5]:![X6]:![X7]:![X8]:(((((~(v3_vectsp_2(X8,X5))|~(m1_rmod_2(X8,X5,X6)))|(~(X7=u1_struct_0(X8))|(k1_rlvect_1(X5)=k2_group_1(X5)|k1_rmod_5(X5,X6,X7)=X8)))|~(m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))))|((((((v3_struct_0(X6)|~(v3_rlvect_1(X6)))|~(v4_rlvect_1(X6)))|~(v5_rlvect_1(X6)))|~(v6_rlvect_1(X6)))|~(v5_vectsp_2(X6,X5)))|~(l1_vectsp_2(X6,X5))))|((((((((((((v3_struct_0(X5)|~(v3_rlvect_1(X5)))|~(v4_rlvect_1(X5)))|~(v5_rlvect_1(X5)))|~(v6_rlvect_1(X5)))|~(v4_group_1(X5)))|~(v7_group_1(X5)))|~(v6_vectsp_1(X5)))|~(v7_vectsp_1(X5)))|~(v8_vectsp_1(X5)))|v10_vectsp_1(X5))|~(v2_vectsp_2(X5)))|~(l3_vectsp_1(X5)))),inference(shift_quantors,[status(thm)],[128])).
% cnf(130,plain,(v10_vectsp_1(X1)|v3_struct_0(X1)|v3_struct_0(X2)|k1_rmod_5(X1,X2,X3)=X4|k1_rlvect_1(X1)=k2_group_1(X1)|~l3_vectsp_1(X1)|~v2_vectsp_2(X1)|~v8_vectsp_1(X1)|~v7_vectsp_1(X1)|~v6_vectsp_1(X1)|~v7_group_1(X1)|~v4_group_1(X1)|~v6_rlvect_1(X1)|~v5_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~l1_vectsp_2(X2,X1)|~v5_vectsp_2(X2,X1)|~v6_rlvect_1(X2)|~v5_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))|X3!=u1_struct_0(X4)|~m1_rmod_2(X4,X1,X2)|~v3_vectsp_2(X4,X1)),inference(split_conjunct,[status(thm)],[129])).
% fof(163, plain,![X1]:![X2]:(((((((((((((((((v3_struct_0(X1)|~(v3_rlvect_1(X1)))|~(v4_rlvect_1(X1)))|~(v5_rlvect_1(X1)))|~(v6_rlvect_1(X1)))|~(v4_group_1(X1)))|~(v6_vectsp_1(X1)))|~(v7_vectsp_1(X1)))|~(v8_vectsp_1(X1)))|~(l3_vectsp_1(X1)))|v3_struct_0(X2))|~(v3_rlvect_1(X2)))|~(v4_rlvect_1(X2)))|~(v5_rlvect_1(X2)))|~(v6_rlvect_1(X2)))|~(v5_vectsp_2(X2,X1)))|~(l1_vectsp_2(X2,X1)))|(v3_vectsp_2(k2_rmod_2(X1,X2),X1)&m1_rmod_2(k2_rmod_2(X1,X2),X1,X2))),inference(fof_nnf,[status(thm)],[81])).
% fof(164, plain,![X3]:![X4]:(((((((((((((((((v3_struct_0(X3)|~(v3_rlvect_1(X3)))|~(v4_rlvect_1(X3)))|~(v5_rlvect_1(X3)))|~(v6_rlvect_1(X3)))|~(v4_group_1(X3)))|~(v6_vectsp_1(X3)))|~(v7_vectsp_1(X3)))|~(v8_vectsp_1(X3)))|~(l3_vectsp_1(X3)))|v3_struct_0(X4))|~(v3_rlvect_1(X4)))|~(v4_rlvect_1(X4)))|~(v5_rlvect_1(X4)))|~(v6_rlvect_1(X4)))|~(v5_vectsp_2(X4,X3)))|~(l1_vectsp_2(X4,X3)))|(v3_vectsp_2(k2_rmod_2(X3,X4),X3)&m1_rmod_2(k2_rmod_2(X3,X4),X3,X4))),inference(variable_rename,[status(thm)],[163])).
% fof(165, plain,![X3]:![X4]:((v3_vectsp_2(k2_rmod_2(X3,X4),X3)|((((((((((((((((v3_struct_0(X3)|~(v3_rlvect_1(X3)))|~(v4_rlvect_1(X3)))|~(v5_rlvect_1(X3)))|~(v6_rlvect_1(X3)))|~(v4_group_1(X3)))|~(v6_vectsp_1(X3)))|~(v7_vectsp_1(X3)))|~(v8_vectsp_1(X3)))|~(l3_vectsp_1(X3)))|v3_struct_0(X4))|~(v3_rlvect_1(X4)))|~(v4_rlvect_1(X4)))|~(v5_rlvect_1(X4)))|~(v6_rlvect_1(X4)))|~(v5_vectsp_2(X4,X3)))|~(l1_vectsp_2(X4,X3))))&(m1_rmod_2(k2_rmod_2(X3,X4),X3,X4)|((((((((((((((((v3_struct_0(X3)|~(v3_rlvect_1(X3)))|~(v4_rlvect_1(X3)))|~(v5_rlvect_1(X3)))|~(v6_rlvect_1(X3)))|~(v4_group_1(X3)))|~(v6_vectsp_1(X3)))|~(v7_vectsp_1(X3)))|~(v8_vectsp_1(X3)))|~(l3_vectsp_1(X3)))|v3_struct_0(X4))|~(v3_rlvect_1(X4)))|~(v4_rlvect_1(X4)))|~(v5_rlvect_1(X4)))|~(v6_rlvect_1(X4)))|~(v5_vectsp_2(X4,X3)))|~(l1_vectsp_2(X4,X3))))),inference(distribute,[status(thm)],[164])).
% cnf(166,plain,(v3_struct_0(X1)|v3_struct_0(X2)|m1_rmod_2(k2_rmod_2(X2,X1),X2,X1)|~l1_vectsp_2(X1,X2)|~v5_vectsp_2(X1,X2)|~v6_rlvect_1(X1)|~v5_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~l3_vectsp_1(X2)|~v8_vectsp_1(X2)|~v7_vectsp_1(X2)|~v6_vectsp_1(X2)|~v4_group_1(X2)|~v6_rlvect_1(X2)|~v5_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)),inference(split_conjunct,[status(thm)],[165])).
% fof(174, plain,![X1]:((((((((((v3_struct_0(X1)|~(v3_rlvect_1(X1)))|~(v4_rlvect_1(X1)))|~(v5_rlvect_1(X1)))|~(v6_rlvect_1(X1)))|~(v4_group_1(X1)))|~(v6_vectsp_1(X1)))|~(v7_vectsp_1(X1)))|~(v8_vectsp_1(X1)))|~(l3_vectsp_1(X1)))|![X2]:(((((((v3_struct_0(X2)|~(v3_rlvect_1(X2)))|~(v4_rlvect_1(X2)))|~(v5_rlvect_1(X2)))|~(v6_rlvect_1(X2)))|~(v5_vectsp_2(X2,X1)))|~(l1_vectsp_2(X2,X1)))|k2_rmod_2(X1,X2)=g1_vectsp_2(X1,u1_struct_0(X2),u1_rlvect_1(X2),u2_struct_0(X2),u1_vectsp_2(X1,X2)))),inference(fof_nnf,[status(thm)],[83])).
% fof(175, plain,![X3]:((((((((((v3_struct_0(X3)|~(v3_rlvect_1(X3)))|~(v4_rlvect_1(X3)))|~(v5_rlvect_1(X3)))|~(v6_rlvect_1(X3)))|~(v4_group_1(X3)))|~(v6_vectsp_1(X3)))|~(v7_vectsp_1(X3)))|~(v8_vectsp_1(X3)))|~(l3_vectsp_1(X3)))|![X4]:(((((((v3_struct_0(X4)|~(v3_rlvect_1(X4)))|~(v4_rlvect_1(X4)))|~(v5_rlvect_1(X4)))|~(v6_rlvect_1(X4)))|~(v5_vectsp_2(X4,X3)))|~(l1_vectsp_2(X4,X3)))|k2_rmod_2(X3,X4)=g1_vectsp_2(X3,u1_struct_0(X4),u1_rlvect_1(X4),u2_struct_0(X4),u1_vectsp_2(X3,X4)))),inference(variable_rename,[status(thm)],[174])).
% fof(176, plain,![X3]:![X4]:((((((((v3_struct_0(X4)|~(v3_rlvect_1(X4)))|~(v4_rlvect_1(X4)))|~(v5_rlvect_1(X4)))|~(v6_rlvect_1(X4)))|~(v5_vectsp_2(X4,X3)))|~(l1_vectsp_2(X4,X3)))|k2_rmod_2(X3,X4)=g1_vectsp_2(X3,u1_struct_0(X4),u1_rlvect_1(X4),u2_struct_0(X4),u1_vectsp_2(X3,X4)))|(((((((((v3_struct_0(X3)|~(v3_rlvect_1(X3)))|~(v4_rlvect_1(X3)))|~(v5_rlvect_1(X3)))|~(v6_rlvect_1(X3)))|~(v4_group_1(X3)))|~(v6_vectsp_1(X3)))|~(v7_vectsp_1(X3)))|~(v8_vectsp_1(X3)))|~(l3_vectsp_1(X3)))),inference(shift_quantors,[status(thm)],[175])).
% cnf(177,plain,(v3_struct_0(X1)|k2_rmod_2(X1,X2)=g1_vectsp_2(X1,u1_struct_0(X2),u1_rlvect_1(X2),u2_struct_0(X2),u1_vectsp_2(X1,X2))|v3_struct_0(X2)|~l3_vectsp_1(X1)|~v8_vectsp_1(X1)|~v7_vectsp_1(X1)|~v6_vectsp_1(X1)|~v4_group_1(X1)|~v6_rlvect_1(X1)|~v5_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~l1_vectsp_2(X2,X1)|~v5_vectsp_2(X2,X1)|~v6_rlvect_1(X2)|~v5_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)),inference(split_conjunct,[status(thm)],[176])).
% fof(291, plain,![X1]:![X2]:((~(l1_struct_0(X1))|~(l1_vectsp_2(X2,X1)))|(~(v3_vectsp_2(X2,X1))|X2=g1_vectsp_2(X1,u1_struct_0(X2),u1_rlvect_1(X2),u2_struct_0(X2),u1_vectsp_2(X1,X2)))),inference(fof_nnf,[status(thm)],[44])).
% fof(292, plain,![X3]:![X4]:((~(l1_struct_0(X3))|~(l1_vectsp_2(X4,X3)))|(~(v3_vectsp_2(X4,X3))|X4=g1_vectsp_2(X3,u1_struct_0(X4),u1_rlvect_1(X4),u2_struct_0(X4),u1_vectsp_2(X3,X4)))),inference(variable_rename,[status(thm)],[291])).
% cnf(293,plain,(X1=g1_vectsp_2(X2,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X2,X1))|~v3_vectsp_2(X1,X2)|~l1_vectsp_2(X1,X2)|~l1_struct_0(X2)),inference(split_conjunct,[status(thm)],[292])).
% fof(326, plain,![X1]:(~(l3_vectsp_1(X1))|(l1_rlvect_1(X1)&l2_vectsp_1(X1))),inference(fof_nnf,[status(thm)],[53])).
% fof(327, plain,![X2]:(~(l3_vectsp_1(X2))|(l1_rlvect_1(X2)&l2_vectsp_1(X2))),inference(variable_rename,[status(thm)],[326])).
% fof(328, plain,![X2]:((l1_rlvect_1(X2)|~(l3_vectsp_1(X2)))&(l2_vectsp_1(X2)|~(l3_vectsp_1(X2)))),inference(distribute,[status(thm)],[327])).
% cnf(329,plain,(l2_vectsp_1(X1)|~l3_vectsp_1(X1)),inference(split_conjunct,[status(thm)],[328])).
% fof(349, plain,![X1]:(~(l2_struct_0(X1))|l1_struct_0(X1)),inference(fof_nnf,[status(thm)],[57])).
% fof(350, plain,![X2]:(~(l2_struct_0(X2))|l1_struct_0(X2)),inference(variable_rename,[status(thm)],[349])).
% cnf(351,plain,(l1_struct_0(X1)|~l2_struct_0(X1)),inference(split_conjunct,[status(thm)],[350])).
% fof(369, plain,![X1]:(~(l2_vectsp_1(X1))|(l1_vectsp_1(X1)&l2_struct_0(X1))),inference(fof_nnf,[status(thm)],[64])).
% fof(370, plain,![X2]:(~(l2_vectsp_1(X2))|(l1_vectsp_1(X2)&l2_struct_0(X2))),inference(variable_rename,[status(thm)],[369])).
% fof(371, plain,![X2]:((l1_vectsp_1(X2)|~(l2_vectsp_1(X2)))&(l2_struct_0(X2)|~(l2_vectsp_1(X2)))),inference(distribute,[status(thm)],[370])).
% cnf(372,plain,(l2_struct_0(X1)|~l2_vectsp_1(X1)),inference(split_conjunct,[status(thm)],[371])).
% fof(381, negated_conjecture,?[X1]:(((((((((((((~(v3_struct_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v4_group_1(X1))&v7_group_1(X1))&v6_vectsp_1(X1))&v7_vectsp_1(X1))&v8_vectsp_1(X1))&~(v10_vectsp_1(X1)))&v2_vectsp_2(X1))&l3_vectsp_1(X1))&?[X2]:((((((((~(v3_struct_0(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v5_rlvect_1(X2))&v6_rlvect_1(X2))&v3_vectsp_2(X2,X1))&v5_vectsp_2(X2,X1))&l1_vectsp_2(X2,X1))&?[X3]:(m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))&(X3=u1_struct_0(X2)&(~(k1_rlvect_1(X1)=k2_group_1(X1))&~(k1_rmod_5(X1,X2,X3)=X2)))))),inference(fof_nnf,[status(thm)],[97])).
% fof(382, negated_conjecture,?[X4]:(((((((((((((~(v3_struct_0(X4))&v3_rlvect_1(X4))&v4_rlvect_1(X4))&v5_rlvect_1(X4))&v6_rlvect_1(X4))&v4_group_1(X4))&v7_group_1(X4))&v6_vectsp_1(X4))&v7_vectsp_1(X4))&v8_vectsp_1(X4))&~(v10_vectsp_1(X4)))&v2_vectsp_2(X4))&l3_vectsp_1(X4))&?[X5]:((((((((~(v3_struct_0(X5))&v3_rlvect_1(X5))&v4_rlvect_1(X5))&v5_rlvect_1(X5))&v6_rlvect_1(X5))&v3_vectsp_2(X5,X4))&v5_vectsp_2(X5,X4))&l1_vectsp_2(X5,X4))&?[X6]:(m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))&(X6=u1_struct_0(X5)&(~(k1_rlvect_1(X4)=k2_group_1(X4))&~(k1_rmod_5(X4,X5,X6)=X5)))))),inference(variable_rename,[status(thm)],[381])).
% fof(383, negated_conjecture,(((((((((((((~(v3_struct_0(esk25_0))&v3_rlvect_1(esk25_0))&v4_rlvect_1(esk25_0))&v5_rlvect_1(esk25_0))&v6_rlvect_1(esk25_0))&v4_group_1(esk25_0))&v7_group_1(esk25_0))&v6_vectsp_1(esk25_0))&v7_vectsp_1(esk25_0))&v8_vectsp_1(esk25_0))&~(v10_vectsp_1(esk25_0)))&v2_vectsp_2(esk25_0))&l3_vectsp_1(esk25_0))&((((((((~(v3_struct_0(esk26_0))&v3_rlvect_1(esk26_0))&v4_rlvect_1(esk26_0))&v5_rlvect_1(esk26_0))&v6_rlvect_1(esk26_0))&v3_vectsp_2(esk26_0,esk25_0))&v5_vectsp_2(esk26_0,esk25_0))&l1_vectsp_2(esk26_0,esk25_0))&(m1_subset_1(esk27_0,k1_zfmisc_1(u1_struct_0(esk26_0)))&(esk27_0=u1_struct_0(esk26_0)&(~(k1_rlvect_1(esk25_0)=k2_group_1(esk25_0))&~(k1_rmod_5(esk25_0,esk26_0,esk27_0)=esk26_0)))))),inference(skolemize,[status(esa)],[382])).
% cnf(384,negated_conjecture,(k1_rmod_5(esk25_0,esk26_0,esk27_0)!=esk26_0),inference(split_conjunct,[status(thm)],[383])).
% cnf(385,negated_conjecture,(k1_rlvect_1(esk25_0)!=k2_group_1(esk25_0)),inference(split_conjunct,[status(thm)],[383])).
% cnf(386,negated_conjecture,(esk27_0=u1_struct_0(esk26_0)),inference(split_conjunct,[status(thm)],[383])).
% cnf(387,negated_conjecture,(m1_subset_1(esk27_0,k1_zfmisc_1(u1_struct_0(esk26_0)))),inference(split_conjunct,[status(thm)],[383])).
% cnf(388,negated_conjecture,(l1_vectsp_2(esk26_0,esk25_0)),inference(split_conjunct,[status(thm)],[383])).
% cnf(389,negated_conjecture,(v5_vectsp_2(esk26_0,esk25_0)),inference(split_conjunct,[status(thm)],[383])).
% cnf(390,negated_conjecture,(v3_vectsp_2(esk26_0,esk25_0)),inference(split_conjunct,[status(thm)],[383])).
% cnf(391,negated_conjecture,(v6_rlvect_1(esk26_0)),inference(split_conjunct,[status(thm)],[383])).
% cnf(392,negated_conjecture,(v5_rlvect_1(esk26_0)),inference(split_conjunct,[status(thm)],[383])).
% cnf(393,negated_conjecture,(v4_rlvect_1(esk26_0)),inference(split_conjunct,[status(thm)],[383])).
% cnf(394,negated_conjecture,(v3_rlvect_1(esk26_0)),inference(split_conjunct,[status(thm)],[383])).
% cnf(395,negated_conjecture,(~v3_struct_0(esk26_0)),inference(split_conjunct,[status(thm)],[383])).
% cnf(396,negated_conjecture,(l3_vectsp_1(esk25_0)),inference(split_conjunct,[status(thm)],[383])).
% cnf(397,negated_conjecture,(v2_vectsp_2(esk25_0)),inference(split_conjunct,[status(thm)],[383])).
% cnf(398,negated_conjecture,(~v10_vectsp_1(esk25_0)),inference(split_conjunct,[status(thm)],[383])).
% cnf(399,negated_conjecture,(v8_vectsp_1(esk25_0)),inference(split_conjunct,[status(thm)],[383])).
% cnf(400,negated_conjecture,(v7_vectsp_1(esk25_0)),inference(split_conjunct,[status(thm)],[383])).
% cnf(401,negated_conjecture,(v6_vectsp_1(esk25_0)),inference(split_conjunct,[status(thm)],[383])).
% cnf(402,negated_conjecture,(v7_group_1(esk25_0)),inference(split_conjunct,[status(thm)],[383])).
% cnf(403,negated_conjecture,(v4_group_1(esk25_0)),inference(split_conjunct,[status(thm)],[383])).
% cnf(404,negated_conjecture,(v6_rlvect_1(esk25_0)),inference(split_conjunct,[status(thm)],[383])).
% cnf(405,negated_conjecture,(v5_rlvect_1(esk25_0)),inference(split_conjunct,[status(thm)],[383])).
% cnf(406,negated_conjecture,(v4_rlvect_1(esk25_0)),inference(split_conjunct,[status(thm)],[383])).
% cnf(407,negated_conjecture,(v3_rlvect_1(esk25_0)),inference(split_conjunct,[status(thm)],[383])).
% cnf(408,negated_conjecture,(~v3_struct_0(esk25_0)),inference(split_conjunct,[status(thm)],[383])).
% cnf(409,negated_conjecture,(m1_subset_1(esk27_0,k1_zfmisc_1(esk27_0))),inference(rw,[status(thm)],[387,386,theory(equality)])).
% cnf(411,negated_conjecture,(l2_vectsp_1(esk25_0)),inference(spm,[status(thm)],[329,396,theory(equality)])).
% cnf(556,plain,(k2_rmod_2(X1,X2)=X2|v3_struct_0(X2)|v3_struct_0(X1)|~l1_struct_0(X1)|~v3_vectsp_2(X2,X1)|~l1_vectsp_2(X2,X1)|~v5_vectsp_2(X2,X1)|~v8_vectsp_1(X1)|~v7_vectsp_1(X1)|~v6_vectsp_1(X1)|~v4_group_1(X1)|~v6_rlvect_1(X2)|~v6_rlvect_1(X1)|~v5_rlvect_1(X2)|~v5_rlvect_1(X1)|~v4_rlvect_1(X2)|~v4_rlvect_1(X1)|~v3_rlvect_1(X2)|~v3_rlvect_1(X1)|~l3_vectsp_1(X1)),inference(spm,[status(thm)],[293,177,theory(equality)])).
% cnf(567,negated_conjecture,(k2_group_1(X1)=k1_rlvect_1(X1)|k1_rmod_5(X1,esk26_0,X2)=X3|v10_vectsp_1(X1)|v3_struct_0(esk26_0)|v3_struct_0(X1)|u1_struct_0(X3)!=X2|~m1_rmod_2(X3,X1,esk26_0)|~v2_vectsp_2(X1)|~v7_group_1(X1)|~v5_vectsp_2(esk26_0,X1)|~v3_vectsp_2(X3,X1)|~l1_vectsp_2(esk26_0,X1)|~v8_vectsp_1(X1)|~v7_vectsp_1(X1)|~v6_vectsp_1(X1)|~v4_group_1(X1)|~v6_rlvect_1(esk26_0)|~v6_rlvect_1(X1)|~v5_rlvect_1(esk26_0)|~v5_rlvect_1(X1)|~v4_rlvect_1(esk26_0)|~v4_rlvect_1(X1)|~v3_rlvect_1(esk26_0)|~v3_rlvect_1(X1)|~m1_subset_1(X2,k1_zfmisc_1(esk27_0))|~l3_vectsp_1(X1)),inference(spm,[status(thm)],[130,386,theory(equality)])).
% cnf(574,negated_conjecture,(k2_group_1(X1)=k1_rlvect_1(X1)|k1_rmod_5(X1,esk26_0,X2)=X3|v10_vectsp_1(X1)|v3_struct_0(esk26_0)|v3_struct_0(X1)|u1_struct_0(X3)!=X2|~m1_rmod_2(X3,X1,esk26_0)|~v2_vectsp_2(X1)|~v7_group_1(X1)|~v5_vectsp_2(esk26_0,X1)|~v3_vectsp_2(X3,X1)|~l1_vectsp_2(esk26_0,X1)|~v8_vectsp_1(X1)|~v7_vectsp_1(X1)|~v6_vectsp_1(X1)|~v4_group_1(X1)|$false|~v6_rlvect_1(X1)|~v5_rlvect_1(esk26_0)|~v5_rlvect_1(X1)|~v4_rlvect_1(esk26_0)|~v4_rlvect_1(X1)|~v3_rlvect_1(esk26_0)|~v3_rlvect_1(X1)|~m1_subset_1(X2,k1_zfmisc_1(esk27_0))|~l3_vectsp_1(X1)),inference(rw,[status(thm)],[567,391,theory(equality)])).
% cnf(575,negated_conjecture,(k2_group_1(X1)=k1_rlvect_1(X1)|k1_rmod_5(X1,esk26_0,X2)=X3|v10_vectsp_1(X1)|v3_struct_0(esk26_0)|v3_struct_0(X1)|u1_struct_0(X3)!=X2|~m1_rmod_2(X3,X1,esk26_0)|~v2_vectsp_2(X1)|~v7_group_1(X1)|~v5_vectsp_2(esk26_0,X1)|~v3_vectsp_2(X3,X1)|~l1_vectsp_2(esk26_0,X1)|~v8_vectsp_1(X1)|~v7_vectsp_1(X1)|~v6_vectsp_1(X1)|~v4_group_1(X1)|$false|~v6_rlvect_1(X1)|$false|~v5_rlvect_1(X1)|~v4_rlvect_1(esk26_0)|~v4_rlvect_1(X1)|~v3_rlvect_1(esk26_0)|~v3_rlvect_1(X1)|~m1_subset_1(X2,k1_zfmisc_1(esk27_0))|~l3_vectsp_1(X1)),inference(rw,[status(thm)],[574,392,theory(equality)])).
% cnf(576,negated_conjecture,(k2_group_1(X1)=k1_rlvect_1(X1)|k1_rmod_5(X1,esk26_0,X2)=X3|v10_vectsp_1(X1)|v3_struct_0(esk26_0)|v3_struct_0(X1)|u1_struct_0(X3)!=X2|~m1_rmod_2(X3,X1,esk26_0)|~v2_vectsp_2(X1)|~v7_group_1(X1)|~v5_vectsp_2(esk26_0,X1)|~v3_vectsp_2(X3,X1)|~l1_vectsp_2(esk26_0,X1)|~v8_vectsp_1(X1)|~v7_vectsp_1(X1)|~v6_vectsp_1(X1)|~v4_group_1(X1)|$false|~v6_rlvect_1(X1)|$false|~v5_rlvect_1(X1)|$false|~v4_rlvect_1(X1)|~v3_rlvect_1(esk26_0)|~v3_rlvect_1(X1)|~m1_subset_1(X2,k1_zfmisc_1(esk27_0))|~l3_vectsp_1(X1)),inference(rw,[status(thm)],[575,393,theory(equality)])).
% cnf(577,negated_conjecture,(k2_group_1(X1)=k1_rlvect_1(X1)|k1_rmod_5(X1,esk26_0,X2)=X3|v10_vectsp_1(X1)|v3_struct_0(esk26_0)|v3_struct_0(X1)|u1_struct_0(X3)!=X2|~m1_rmod_2(X3,X1,esk26_0)|~v2_vectsp_2(X1)|~v7_group_1(X1)|~v5_vectsp_2(esk26_0,X1)|~v3_vectsp_2(X3,X1)|~l1_vectsp_2(esk26_0,X1)|~v8_vectsp_1(X1)|~v7_vectsp_1(X1)|~v6_vectsp_1(X1)|~v4_group_1(X1)|$false|~v6_rlvect_1(X1)|$false|~v5_rlvect_1(X1)|$false|~v4_rlvect_1(X1)|$false|~v3_rlvect_1(X1)|~m1_subset_1(X2,k1_zfmisc_1(esk27_0))|~l3_vectsp_1(X1)),inference(rw,[status(thm)],[576,394,theory(equality)])).
% cnf(578,negated_conjecture,(k2_group_1(X1)=k1_rlvect_1(X1)|k1_rmod_5(X1,esk26_0,X2)=X3|v10_vectsp_1(X1)|v3_struct_0(esk26_0)|v3_struct_0(X1)|u1_struct_0(X3)!=X2|~m1_rmod_2(X3,X1,esk26_0)|~v2_vectsp_2(X1)|~v7_group_1(X1)|~v5_vectsp_2(esk26_0,X1)|~v3_vectsp_2(X3,X1)|~l1_vectsp_2(esk26_0,X1)|~v8_vectsp_1(X1)|~v7_vectsp_1(X1)|~v6_vectsp_1(X1)|~v4_group_1(X1)|~v6_rlvect_1(X1)|~v5_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~m1_subset_1(X2,k1_zfmisc_1(esk27_0))|~l3_vectsp_1(X1)),inference(cn,[status(thm)],[577,theory(equality)])).
% cnf(579,negated_conjecture,(k2_group_1(X1)=k1_rlvect_1(X1)|k1_rmod_5(X1,esk26_0,X2)=X3|v10_vectsp_1(X1)|v3_struct_0(X1)|u1_struct_0(X3)!=X2|~m1_rmod_2(X3,X1,esk26_0)|~v2_vectsp_2(X1)|~v7_group_1(X1)|~v5_vectsp_2(esk26_0,X1)|~v3_vectsp_2(X3,X1)|~l1_vectsp_2(esk26_0,X1)|~v8_vectsp_1(X1)|~v7_vectsp_1(X1)|~v6_vectsp_1(X1)|~v4_group_1(X1)|~v6_rlvect_1(X1)|~v5_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~m1_subset_1(X2,k1_zfmisc_1(esk27_0))|~l3_vectsp_1(X1)),inference(sr,[status(thm)],[578,395,theory(equality)])).
% cnf(600,negated_conjecture,(l2_struct_0(esk25_0)),inference(spm,[status(thm)],[372,411,theory(equality)])).
% cnf(606,negated_conjecture,(l1_struct_0(esk25_0)),inference(spm,[status(thm)],[351,600,theory(equality)])).
% cnf(3416,negated_conjecture,(k2_rmod_2(esk25_0,esk26_0)=esk26_0|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|~l1_struct_0(esk25_0)|~v5_vectsp_2(esk26_0,esk25_0)|~l1_vectsp_2(esk26_0,esk25_0)|~v8_vectsp_1(esk25_0)|~v7_vectsp_1(esk25_0)|~v6_vectsp_1(esk25_0)|~v4_group_1(esk25_0)|~v6_rlvect_1(esk26_0)|~v6_rlvect_1(esk25_0)|~v5_rlvect_1(esk26_0)|~v5_rlvect_1(esk25_0)|~v4_rlvect_1(esk26_0)|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~l3_vectsp_1(esk25_0)),inference(spm,[status(thm)],[556,390,theory(equality)])).
% cnf(3424,negated_conjecture,(k2_rmod_2(esk25_0,esk26_0)=esk26_0|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|~v5_vectsp_2(esk26_0,esk25_0)|~l1_vectsp_2(esk26_0,esk25_0)|~v8_vectsp_1(esk25_0)|~v7_vectsp_1(esk25_0)|~v6_vectsp_1(esk25_0)|~v4_group_1(esk25_0)|~v6_rlvect_1(esk26_0)|~v6_rlvect_1(esk25_0)|~v5_rlvect_1(esk26_0)|~v5_rlvect_1(esk25_0)|~v4_rlvect_1(esk26_0)|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3416,606,theory(equality)])).
% cnf(3425,negated_conjecture,(k2_rmod_2(esk25_0,esk26_0)=esk26_0|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|~l1_vectsp_2(esk26_0,esk25_0)|~v8_vectsp_1(esk25_0)|~v7_vectsp_1(esk25_0)|~v6_vectsp_1(esk25_0)|~v4_group_1(esk25_0)|~v6_rlvect_1(esk26_0)|~v6_rlvect_1(esk25_0)|~v5_rlvect_1(esk26_0)|~v5_rlvect_1(esk25_0)|~v4_rlvect_1(esk26_0)|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3424,389,theory(equality)])).
% cnf(3426,negated_conjecture,(k2_rmod_2(esk25_0,esk26_0)=esk26_0|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|~v8_vectsp_1(esk25_0)|~v7_vectsp_1(esk25_0)|~v6_vectsp_1(esk25_0)|~v4_group_1(esk25_0)|~v6_rlvect_1(esk26_0)|~v6_rlvect_1(esk25_0)|~v5_rlvect_1(esk26_0)|~v5_rlvect_1(esk25_0)|~v4_rlvect_1(esk26_0)|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3425,388,theory(equality)])).
% cnf(3427,negated_conjecture,(k2_rmod_2(esk25_0,esk26_0)=esk26_0|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|$false|~v7_vectsp_1(esk25_0)|~v6_vectsp_1(esk25_0)|~v4_group_1(esk25_0)|~v6_rlvect_1(esk26_0)|~v6_rlvect_1(esk25_0)|~v5_rlvect_1(esk26_0)|~v5_rlvect_1(esk25_0)|~v4_rlvect_1(esk26_0)|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3426,399,theory(equality)])).
% cnf(3428,negated_conjecture,(k2_rmod_2(esk25_0,esk26_0)=esk26_0|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|$false|$false|~v6_vectsp_1(esk25_0)|~v4_group_1(esk25_0)|~v6_rlvect_1(esk26_0)|~v6_rlvect_1(esk25_0)|~v5_rlvect_1(esk26_0)|~v5_rlvect_1(esk25_0)|~v4_rlvect_1(esk26_0)|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3427,400,theory(equality)])).
% cnf(3429,negated_conjecture,(k2_rmod_2(esk25_0,esk26_0)=esk26_0|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|$false|$false|$false|~v4_group_1(esk25_0)|~v6_rlvect_1(esk26_0)|~v6_rlvect_1(esk25_0)|~v5_rlvect_1(esk26_0)|~v5_rlvect_1(esk25_0)|~v4_rlvect_1(esk26_0)|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3428,401,theory(equality)])).
% cnf(3430,negated_conjecture,(k2_rmod_2(esk25_0,esk26_0)=esk26_0|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|$false|$false|$false|$false|~v6_rlvect_1(esk26_0)|~v6_rlvect_1(esk25_0)|~v5_rlvect_1(esk26_0)|~v5_rlvect_1(esk25_0)|~v4_rlvect_1(esk26_0)|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3429,403,theory(equality)])).
% cnf(3431,negated_conjecture,(k2_rmod_2(esk25_0,esk26_0)=esk26_0|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|$false|$false|$false|$false|$false|~v6_rlvect_1(esk25_0)|~v5_rlvect_1(esk26_0)|~v5_rlvect_1(esk25_0)|~v4_rlvect_1(esk26_0)|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3430,391,theory(equality)])).
% cnf(3432,negated_conjecture,(k2_rmod_2(esk25_0,esk26_0)=esk26_0|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|$false|$false|$false|$false|$false|$false|~v5_rlvect_1(esk26_0)|~v5_rlvect_1(esk25_0)|~v4_rlvect_1(esk26_0)|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3431,404,theory(equality)])).
% cnf(3433,negated_conjecture,(k2_rmod_2(esk25_0,esk26_0)=esk26_0|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|~v5_rlvect_1(esk25_0)|~v4_rlvect_1(esk26_0)|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3432,392,theory(equality)])).
% cnf(3434,negated_conjecture,(k2_rmod_2(esk25_0,esk26_0)=esk26_0|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|~v4_rlvect_1(esk26_0)|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3433,405,theory(equality)])).
% cnf(3435,negated_conjecture,(k2_rmod_2(esk25_0,esk26_0)=esk26_0|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3434,393,theory(equality)])).
% cnf(3436,negated_conjecture,(k2_rmod_2(esk25_0,esk26_0)=esk26_0|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|~v3_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3435,406,theory(equality)])).
% cnf(3437,negated_conjecture,(k2_rmod_2(esk25_0,esk26_0)=esk26_0|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|~v3_rlvect_1(esk25_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3436,394,theory(equality)])).
% cnf(3438,negated_conjecture,(k2_rmod_2(esk25_0,esk26_0)=esk26_0|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3437,407,theory(equality)])).
% cnf(3439,negated_conjecture,(k2_rmod_2(esk25_0,esk26_0)=esk26_0|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[3438,396,theory(equality)])).
% cnf(3440,negated_conjecture,(k2_rmod_2(esk25_0,esk26_0)=esk26_0|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)),inference(cn,[status(thm)],[3439,theory(equality)])).
% cnf(3441,negated_conjecture,(k2_rmod_2(esk25_0,esk26_0)=esk26_0|v3_struct_0(esk26_0)),inference(sr,[status(thm)],[3440,408,theory(equality)])).
% cnf(3442,negated_conjecture,(k2_rmod_2(esk25_0,esk26_0)=esk26_0),inference(sr,[status(thm)],[3441,395,theory(equality)])).
% cnf(3445,negated_conjecture,(m1_rmod_2(esk26_0,esk25_0,esk26_0)|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|~v5_vectsp_2(esk26_0,esk25_0)|~l1_vectsp_2(esk26_0,esk25_0)|~v8_vectsp_1(esk25_0)|~v7_vectsp_1(esk25_0)|~v6_vectsp_1(esk25_0)|~v4_group_1(esk25_0)|~v6_rlvect_1(esk25_0)|~v6_rlvect_1(esk26_0)|~v5_rlvect_1(esk25_0)|~v5_rlvect_1(esk26_0)|~v4_rlvect_1(esk25_0)|~v4_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~l3_vectsp_1(esk25_0)),inference(spm,[status(thm)],[166,3442,theory(equality)])).
% cnf(3485,negated_conjecture,(m1_rmod_2(esk26_0,esk25_0,esk26_0)|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|~l1_vectsp_2(esk26_0,esk25_0)|~v8_vectsp_1(esk25_0)|~v7_vectsp_1(esk25_0)|~v6_vectsp_1(esk25_0)|~v4_group_1(esk25_0)|~v6_rlvect_1(esk25_0)|~v6_rlvect_1(esk26_0)|~v5_rlvect_1(esk25_0)|~v5_rlvect_1(esk26_0)|~v4_rlvect_1(esk25_0)|~v4_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3445,389,theory(equality)])).
% cnf(3486,negated_conjecture,(m1_rmod_2(esk26_0,esk25_0,esk26_0)|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|~v8_vectsp_1(esk25_0)|~v7_vectsp_1(esk25_0)|~v6_vectsp_1(esk25_0)|~v4_group_1(esk25_0)|~v6_rlvect_1(esk25_0)|~v6_rlvect_1(esk26_0)|~v5_rlvect_1(esk25_0)|~v5_rlvect_1(esk26_0)|~v4_rlvect_1(esk25_0)|~v4_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3485,388,theory(equality)])).
% cnf(3487,negated_conjecture,(m1_rmod_2(esk26_0,esk25_0,esk26_0)|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|~v7_vectsp_1(esk25_0)|~v6_vectsp_1(esk25_0)|~v4_group_1(esk25_0)|~v6_rlvect_1(esk25_0)|~v6_rlvect_1(esk26_0)|~v5_rlvect_1(esk25_0)|~v5_rlvect_1(esk26_0)|~v4_rlvect_1(esk25_0)|~v4_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3486,399,theory(equality)])).
% cnf(3488,negated_conjecture,(m1_rmod_2(esk26_0,esk25_0,esk26_0)|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|$false|~v6_vectsp_1(esk25_0)|~v4_group_1(esk25_0)|~v6_rlvect_1(esk25_0)|~v6_rlvect_1(esk26_0)|~v5_rlvect_1(esk25_0)|~v5_rlvect_1(esk26_0)|~v4_rlvect_1(esk25_0)|~v4_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3487,400,theory(equality)])).
% cnf(3489,negated_conjecture,(m1_rmod_2(esk26_0,esk25_0,esk26_0)|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|$false|$false|~v4_group_1(esk25_0)|~v6_rlvect_1(esk25_0)|~v6_rlvect_1(esk26_0)|~v5_rlvect_1(esk25_0)|~v5_rlvect_1(esk26_0)|~v4_rlvect_1(esk25_0)|~v4_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3488,401,theory(equality)])).
% cnf(3490,negated_conjecture,(m1_rmod_2(esk26_0,esk25_0,esk26_0)|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|$false|$false|$false|~v6_rlvect_1(esk25_0)|~v6_rlvect_1(esk26_0)|~v5_rlvect_1(esk25_0)|~v5_rlvect_1(esk26_0)|~v4_rlvect_1(esk25_0)|~v4_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3489,403,theory(equality)])).
% cnf(3491,negated_conjecture,(m1_rmod_2(esk26_0,esk25_0,esk26_0)|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|$false|$false|$false|$false|~v6_rlvect_1(esk26_0)|~v5_rlvect_1(esk25_0)|~v5_rlvect_1(esk26_0)|~v4_rlvect_1(esk25_0)|~v4_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3490,404,theory(equality)])).
% cnf(3492,negated_conjecture,(m1_rmod_2(esk26_0,esk25_0,esk26_0)|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|$false|$false|$false|$false|$false|~v5_rlvect_1(esk25_0)|~v5_rlvect_1(esk26_0)|~v4_rlvect_1(esk25_0)|~v4_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3491,391,theory(equality)])).
% cnf(3493,negated_conjecture,(m1_rmod_2(esk26_0,esk25_0,esk26_0)|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|$false|$false|$false|$false|$false|$false|~v5_rlvect_1(esk26_0)|~v4_rlvect_1(esk25_0)|~v4_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3492,405,theory(equality)])).
% cnf(3494,negated_conjecture,(m1_rmod_2(esk26_0,esk25_0,esk26_0)|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|~v4_rlvect_1(esk25_0)|~v4_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3493,392,theory(equality)])).
% cnf(3495,negated_conjecture,(m1_rmod_2(esk26_0,esk25_0,esk26_0)|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|~v4_rlvect_1(esk26_0)|~v3_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3494,406,theory(equality)])).
% cnf(3496,negated_conjecture,(m1_rmod_2(esk26_0,esk25_0,esk26_0)|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|~v3_rlvect_1(esk25_0)|~v3_rlvect_1(esk26_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3495,393,theory(equality)])).
% cnf(3497,negated_conjecture,(m1_rmod_2(esk26_0,esk25_0,esk26_0)|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|~v3_rlvect_1(esk26_0)|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3496,407,theory(equality)])).
% cnf(3498,negated_conjecture,(m1_rmod_2(esk26_0,esk25_0,esk26_0)|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3497,394,theory(equality)])).
% cnf(3499,negated_conjecture,(m1_rmod_2(esk26_0,esk25_0,esk26_0)|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[3498,396,theory(equality)])).
% cnf(3500,negated_conjecture,(m1_rmod_2(esk26_0,esk25_0,esk26_0)|v3_struct_0(esk25_0)|v3_struct_0(esk26_0)),inference(cn,[status(thm)],[3499,theory(equality)])).
% cnf(3501,negated_conjecture,(m1_rmod_2(esk26_0,esk25_0,esk26_0)|v3_struct_0(esk26_0)),inference(sr,[status(thm)],[3500,408,theory(equality)])).
% cnf(3502,negated_conjecture,(m1_rmod_2(esk26_0,esk25_0,esk26_0)),inference(sr,[status(thm)],[3501,395,theory(equality)])).
% cnf(3897,negated_conjecture,(k1_rmod_5(esk25_0,esk26_0,X1)=esk26_0|k2_group_1(esk25_0)=k1_rlvect_1(esk25_0)|v10_vectsp_1(esk25_0)|v3_struct_0(esk25_0)|u1_struct_0(esk26_0)!=X1|~v2_vectsp_2(esk25_0)|~v7_group_1(esk25_0)|~v5_vectsp_2(esk26_0,esk25_0)|~v3_vectsp_2(esk26_0,esk25_0)|~l1_vectsp_2(esk26_0,esk25_0)|~v8_vectsp_1(esk25_0)|~v7_vectsp_1(esk25_0)|~v6_vectsp_1(esk25_0)|~v4_group_1(esk25_0)|~v6_rlvect_1(esk25_0)|~v5_rlvect_1(esk25_0)|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk25_0)|~m1_subset_1(X1,k1_zfmisc_1(esk27_0))|~l3_vectsp_1(esk25_0)),inference(spm,[status(thm)],[579,3502,theory(equality)])).
% cnf(3902,negated_conjecture,(k1_rmod_5(esk25_0,esk26_0,X1)=esk26_0|k2_group_1(esk25_0)=k1_rlvect_1(esk25_0)|v10_vectsp_1(esk25_0)|v3_struct_0(esk25_0)|esk27_0!=X1|~v2_vectsp_2(esk25_0)|~v7_group_1(esk25_0)|~v5_vectsp_2(esk26_0,esk25_0)|~v3_vectsp_2(esk26_0,esk25_0)|~l1_vectsp_2(esk26_0,esk25_0)|~v8_vectsp_1(esk25_0)|~v7_vectsp_1(esk25_0)|~v6_vectsp_1(esk25_0)|~v4_group_1(esk25_0)|~v6_rlvect_1(esk25_0)|~v5_rlvect_1(esk25_0)|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk25_0)|~m1_subset_1(X1,k1_zfmisc_1(esk27_0))|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3897,386,theory(equality)])).
% cnf(3903,negated_conjecture,(k1_rmod_5(esk25_0,esk26_0,X1)=esk26_0|k2_group_1(esk25_0)=k1_rlvect_1(esk25_0)|v10_vectsp_1(esk25_0)|v3_struct_0(esk25_0)|esk27_0!=X1|$false|~v7_group_1(esk25_0)|~v5_vectsp_2(esk26_0,esk25_0)|~v3_vectsp_2(esk26_0,esk25_0)|~l1_vectsp_2(esk26_0,esk25_0)|~v8_vectsp_1(esk25_0)|~v7_vectsp_1(esk25_0)|~v6_vectsp_1(esk25_0)|~v4_group_1(esk25_0)|~v6_rlvect_1(esk25_0)|~v5_rlvect_1(esk25_0)|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk25_0)|~m1_subset_1(X1,k1_zfmisc_1(esk27_0))|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3902,397,theory(equality)])).
% cnf(3904,negated_conjecture,(k1_rmod_5(esk25_0,esk26_0,X1)=esk26_0|k2_group_1(esk25_0)=k1_rlvect_1(esk25_0)|v10_vectsp_1(esk25_0)|v3_struct_0(esk25_0)|esk27_0!=X1|$false|$false|~v5_vectsp_2(esk26_0,esk25_0)|~v3_vectsp_2(esk26_0,esk25_0)|~l1_vectsp_2(esk26_0,esk25_0)|~v8_vectsp_1(esk25_0)|~v7_vectsp_1(esk25_0)|~v6_vectsp_1(esk25_0)|~v4_group_1(esk25_0)|~v6_rlvect_1(esk25_0)|~v5_rlvect_1(esk25_0)|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk25_0)|~m1_subset_1(X1,k1_zfmisc_1(esk27_0))|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3903,402,theory(equality)])).
% cnf(3905,negated_conjecture,(k1_rmod_5(esk25_0,esk26_0,X1)=esk26_0|k2_group_1(esk25_0)=k1_rlvect_1(esk25_0)|v10_vectsp_1(esk25_0)|v3_struct_0(esk25_0)|esk27_0!=X1|$false|$false|$false|~v3_vectsp_2(esk26_0,esk25_0)|~l1_vectsp_2(esk26_0,esk25_0)|~v8_vectsp_1(esk25_0)|~v7_vectsp_1(esk25_0)|~v6_vectsp_1(esk25_0)|~v4_group_1(esk25_0)|~v6_rlvect_1(esk25_0)|~v5_rlvect_1(esk25_0)|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk25_0)|~m1_subset_1(X1,k1_zfmisc_1(esk27_0))|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3904,389,theory(equality)])).
% cnf(3906,negated_conjecture,(k1_rmod_5(esk25_0,esk26_0,X1)=esk26_0|k2_group_1(esk25_0)=k1_rlvect_1(esk25_0)|v10_vectsp_1(esk25_0)|v3_struct_0(esk25_0)|esk27_0!=X1|$false|$false|$false|$false|~l1_vectsp_2(esk26_0,esk25_0)|~v8_vectsp_1(esk25_0)|~v7_vectsp_1(esk25_0)|~v6_vectsp_1(esk25_0)|~v4_group_1(esk25_0)|~v6_rlvect_1(esk25_0)|~v5_rlvect_1(esk25_0)|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk25_0)|~m1_subset_1(X1,k1_zfmisc_1(esk27_0))|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3905,390,theory(equality)])).
% cnf(3907,negated_conjecture,(k1_rmod_5(esk25_0,esk26_0,X1)=esk26_0|k2_group_1(esk25_0)=k1_rlvect_1(esk25_0)|v10_vectsp_1(esk25_0)|v3_struct_0(esk25_0)|esk27_0!=X1|$false|$false|$false|$false|$false|~v8_vectsp_1(esk25_0)|~v7_vectsp_1(esk25_0)|~v6_vectsp_1(esk25_0)|~v4_group_1(esk25_0)|~v6_rlvect_1(esk25_0)|~v5_rlvect_1(esk25_0)|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk25_0)|~m1_subset_1(X1,k1_zfmisc_1(esk27_0))|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3906,388,theory(equality)])).
% cnf(3908,negated_conjecture,(k1_rmod_5(esk25_0,esk26_0,X1)=esk26_0|k2_group_1(esk25_0)=k1_rlvect_1(esk25_0)|v10_vectsp_1(esk25_0)|v3_struct_0(esk25_0)|esk27_0!=X1|$false|$false|$false|$false|$false|$false|~v7_vectsp_1(esk25_0)|~v6_vectsp_1(esk25_0)|~v4_group_1(esk25_0)|~v6_rlvect_1(esk25_0)|~v5_rlvect_1(esk25_0)|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk25_0)|~m1_subset_1(X1,k1_zfmisc_1(esk27_0))|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3907,399,theory(equality)])).
% cnf(3909,negated_conjecture,(k1_rmod_5(esk25_0,esk26_0,X1)=esk26_0|k2_group_1(esk25_0)=k1_rlvect_1(esk25_0)|v10_vectsp_1(esk25_0)|v3_struct_0(esk25_0)|esk27_0!=X1|$false|$false|$false|$false|$false|$false|$false|~v6_vectsp_1(esk25_0)|~v4_group_1(esk25_0)|~v6_rlvect_1(esk25_0)|~v5_rlvect_1(esk25_0)|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk25_0)|~m1_subset_1(X1,k1_zfmisc_1(esk27_0))|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3908,400,theory(equality)])).
% cnf(3910,negated_conjecture,(k1_rmod_5(esk25_0,esk26_0,X1)=esk26_0|k2_group_1(esk25_0)=k1_rlvect_1(esk25_0)|v10_vectsp_1(esk25_0)|v3_struct_0(esk25_0)|esk27_0!=X1|$false|$false|$false|$false|$false|$false|$false|$false|~v4_group_1(esk25_0)|~v6_rlvect_1(esk25_0)|~v5_rlvect_1(esk25_0)|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk25_0)|~m1_subset_1(X1,k1_zfmisc_1(esk27_0))|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3909,401,theory(equality)])).
% cnf(3911,negated_conjecture,(k1_rmod_5(esk25_0,esk26_0,X1)=esk26_0|k2_group_1(esk25_0)=k1_rlvect_1(esk25_0)|v10_vectsp_1(esk25_0)|v3_struct_0(esk25_0)|esk27_0!=X1|$false|$false|$false|$false|$false|$false|$false|$false|$false|~v6_rlvect_1(esk25_0)|~v5_rlvect_1(esk25_0)|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk25_0)|~m1_subset_1(X1,k1_zfmisc_1(esk27_0))|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3910,403,theory(equality)])).
% cnf(3912,negated_conjecture,(k1_rmod_5(esk25_0,esk26_0,X1)=esk26_0|k2_group_1(esk25_0)=k1_rlvect_1(esk25_0)|v10_vectsp_1(esk25_0)|v3_struct_0(esk25_0)|esk27_0!=X1|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|~v5_rlvect_1(esk25_0)|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk25_0)|~m1_subset_1(X1,k1_zfmisc_1(esk27_0))|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3911,404,theory(equality)])).
% cnf(3913,negated_conjecture,(k1_rmod_5(esk25_0,esk26_0,X1)=esk26_0|k2_group_1(esk25_0)=k1_rlvect_1(esk25_0)|v10_vectsp_1(esk25_0)|v3_struct_0(esk25_0)|esk27_0!=X1|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|~v4_rlvect_1(esk25_0)|~v3_rlvect_1(esk25_0)|~m1_subset_1(X1,k1_zfmisc_1(esk27_0))|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3912,405,theory(equality)])).
% cnf(3914,negated_conjecture,(k1_rmod_5(esk25_0,esk26_0,X1)=esk26_0|k2_group_1(esk25_0)=k1_rlvect_1(esk25_0)|v10_vectsp_1(esk25_0)|v3_struct_0(esk25_0)|esk27_0!=X1|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|~v3_rlvect_1(esk25_0)|~m1_subset_1(X1,k1_zfmisc_1(esk27_0))|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3913,406,theory(equality)])).
% cnf(3915,negated_conjecture,(k1_rmod_5(esk25_0,esk26_0,X1)=esk26_0|k2_group_1(esk25_0)=k1_rlvect_1(esk25_0)|v10_vectsp_1(esk25_0)|v3_struct_0(esk25_0)|esk27_0!=X1|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|~m1_subset_1(X1,k1_zfmisc_1(esk27_0))|~l3_vectsp_1(esk25_0)),inference(rw,[status(thm)],[3914,407,theory(equality)])).
% cnf(3916,negated_conjecture,(k1_rmod_5(esk25_0,esk26_0,X1)=esk26_0|k2_group_1(esk25_0)=k1_rlvect_1(esk25_0)|v10_vectsp_1(esk25_0)|v3_struct_0(esk25_0)|esk27_0!=X1|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|$false|~m1_subset_1(X1,k1_zfmisc_1(esk27_0))|$false),inference(rw,[status(thm)],[3915,396,theory(equality)])).
% cnf(3917,negated_conjecture,(k1_rmod_5(esk25_0,esk26_0,X1)=esk26_0|k2_group_1(esk25_0)=k1_rlvect_1(esk25_0)|v10_vectsp_1(esk25_0)|v3_struct_0(esk25_0)|esk27_0!=X1|~m1_subset_1(X1,k1_zfmisc_1(esk27_0))),inference(cn,[status(thm)],[3916,theory(equality)])).
% cnf(3918,negated_conjecture,(k1_rmod_5(esk25_0,esk26_0,X1)=esk26_0|v10_vectsp_1(esk25_0)|v3_struct_0(esk25_0)|esk27_0!=X1|~m1_subset_1(X1,k1_zfmisc_1(esk27_0))),inference(sr,[status(thm)],[3917,385,theory(equality)])).
% cnf(3919,negated_conjecture,(k1_rmod_5(esk25_0,esk26_0,X1)=esk26_0|v3_struct_0(esk25_0)|esk27_0!=X1|~m1_subset_1(X1,k1_zfmisc_1(esk27_0))),inference(sr,[status(thm)],[3918,398,theory(equality)])).
% cnf(3920,negated_conjecture,(k1_rmod_5(esk25_0,esk26_0,X1)=esk26_0|esk27_0!=X1|~m1_subset_1(X1,k1_zfmisc_1(esk27_0))),inference(sr,[status(thm)],[3919,408,theory(equality)])).
% cnf(3950,negated_conjecture,(~m1_subset_1(esk27_0,k1_zfmisc_1(esk27_0))),inference(spm,[status(thm)],[384,3920,theory(equality)])).
% cnf(4031,negated_conjecture,($false),inference(rw,[status(thm)],[3950,409,theory(equality)])).
% cnf(4032,negated_conjecture,($false),inference(cn,[status(thm)],[4031,theory(equality)])).
% cnf(4033,negated_conjecture,($false),4032,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 964
% # ...of these trivial                : 13
% # ...subsumed                        : 347
% # ...remaining for further processing: 604
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 5
% # Backward-rewritten                 : 15
% # Generated clauses                  : 2125
% # ...of the previous two non-trivial : 1622
% # Contextual simplify-reflections    : 134
% # Paramodulations                    : 2122
% # Factorizations                     : 0
% # Equation resolutions               : 0
% # Current number of processed clauses: 444
% #    Positive orientable unit clauses: 95
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 20
% #    Non-unit-clauses                : 329
% # Current number of unprocessed clauses: 899
% # ...number of literals in the above : 6642
% # Clause-clause subsumption calls (NU) : 18236
% # Rec. Clause-clause subsumption calls : 12025
% # Unit Clause-clause subsumption calls : 612
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 37
% # Indexed BW rewrite successes       : 8
% # Backwards rewriting index:   441 leaves,   1.64+/-1.741 terms/leaf
% # Paramod-from index:          233 leaves,   1.30+/-1.074 terms/leaf
% # Paramod-into index:          391 leaves,   1.45+/-1.438 terms/leaf
% # -------------------------------------------------
% # User time              : 0.190 s
% # System time            : 0.011 s
% # Total time             : 0.201 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.35 CPU 0.44 WC
% FINAL PrfWatch: 0.35 CPU 0.44 WC
% SZS output end Solution for /tmp/SystemOnTPTP13993/ALG219+1.tptp
% 
%------------------------------------------------------------------------------