TSTP Solution File: GRP620+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : GRP620+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 : art01.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 05:53:12 EST 2010
% Result : Theorem 1.62s
% Output : Solution 1.62s
% 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/SystemOnTPTP3022/GRP620+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP3022/GRP620+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP3022/GRP620+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 3119
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.026 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(4, axiom,![X1]:(((((~(v3_struct_0(X1))&v1_group_1(X1))&v3_group_1(X1))&v4_group_1(X1))&l1_group_1(X1))=>m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))),file('/tmp/SRASS.s.p', dt_k1_autgroup)).
% fof(7, axiom,![X1]:(((((~(v3_struct_0(X1))&v1_group_1(X1))&v3_group_1(X1))&v4_group_1(X1))&l1_group_1(X1))=>![X2]:(m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))=>(((v1_funct_1(k2_funct_1(X2))&v1_funct_2(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1)))&v1_group_6(k2_funct_1(X2),X1,X1))&m2_relset_1(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1))))),file('/tmp/SRASS.s.p', t6_autgroup)).
% fof(8, axiom,![X1]:(((((~(v3_struct_0(X1))&v1_group_1(X1))&v3_group_1(X1))&v4_group_1(X1))&l1_group_1(X1))=>![X2]:((((v1_funct_1(X2)&v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)))&v1_group_6(X2,X1,X1))&m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)))=>(r2_hidden(X2,k1_autgroup(X1))<=>v4_group_6(X2,X1,X1)))),file('/tmp/SRASS.s.p', t5_autgroup)).
% fof(13, axiom,![X1]:((~(v3_struct_0(X1))&l1_struct_0(X1))=>~(v1_xboole_0(u1_struct_0(X1)))),file('/tmp/SRASS.s.p', fc1_struct_0)).
% fof(14, axiom,![X1]:((((~(v3_struct_0(X1))&v3_group_1(X1))&v4_group_1(X1))&l1_group_1(X1))=>![X2]:((((~(v3_struct_0(X2))&v3_group_1(X2))&v4_group_1(X2))&l1_group_1(X2))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1)))&v1_group_6(X3,X2,X1))&m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)))=>![X4]:((((v1_funct_1(X4)&v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2)))&v1_group_6(X4,X1,X2))&m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)))=>((v4_group_6(X3,X2,X1)&X4=k2_funct_1(X3))=>v4_group_6(X4,X1,X2)))))),file('/tmp/SRASS.s.p', t73_group_6)).
% fof(15, axiom,![X1]:(((((~(v3_struct_0(X1))&v1_group_1(X1))&v3_group_1(X1))&v4_group_1(X1))&l1_group_1(X1))=>![X2]:(m1_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1))=>(X2=k1_autgroup(X1)<=>(![X3]:(m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),X2)=>(((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1)))&v1_group_6(X3,X1,X1))&m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1))))&![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1)))&v1_group_6(X3,X1,X1))&m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1)))=>(r2_hidden(X3,X2)<=>(v2_funct_1(X3)&v3_group_6(X3,X1,X1)))))))),file('/tmp/SRASS.s.p', d1_autgroup)).
% fof(18, axiom,![X1]:(l1_group_1(X1)=>l1_struct_0(X1)),file('/tmp/SRASS.s.p', dt_l1_group_1)).
% fof(41, axiom,![X1]:![X2]:(r2_hidden(X1,X2)=>m1_subset_1(X1,X2)),file('/tmp/SRASS.s.p', t1_subset)).
% fof(43, axiom,![X1]:![X2]:![X3]:((~(v1_xboole_0(X2))&m1_fraenkel(X3,X1,X2))=>![X4]:(m2_fraenkel(X4,X1,X2,X3)<=>m1_subset_1(X4,X3))),file('/tmp/SRASS.s.p', redefinition_m2_fraenkel)).
% fof(51, axiom,![X1]:![X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_hidden(X1,X2))),file('/tmp/SRASS.s.p', t2_subset)).
% fof(53, axiom,![X1]:![X2]:![X3]:(m1_fraenkel(X3,X1,X2)=>(~(v1_xboole_0(X3))&v1_fraenkel(X3))),file('/tmp/SRASS.s.p', dt_m1_fraenkel)).
% fof(69, conjecture,![X1]:(((((~(v3_struct_0(X1))&v1_group_1(X1))&v3_group_1(X1))&v4_group_1(X1))&l1_group_1(X1))=>![X2]:(m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))=>m2_fraenkel(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)))),file('/tmp/SRASS.s.p', t7_autgroup)).
% fof(70, negated_conjecture,~(![X1]:(((((~(v3_struct_0(X1))&v1_group_1(X1))&v3_group_1(X1))&v4_group_1(X1))&l1_group_1(X1))=>![X2]:(m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))=>m2_fraenkel(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))))),inference(assume_negation,[status(cth)],[69])).
% fof(72, plain,![X1]:(((((~(v3_struct_0(X1))&v1_group_1(X1))&v3_group_1(X1))&v4_group_1(X1))&l1_group_1(X1))=>m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))),inference(fof_simplification,[status(thm)],[4,theory(equality)])).
% fof(75, plain,![X1]:(((((~(v3_struct_0(X1))&v1_group_1(X1))&v3_group_1(X1))&v4_group_1(X1))&l1_group_1(X1))=>![X2]:(m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))=>(((v1_funct_1(k2_funct_1(X2))&v1_funct_2(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1)))&v1_group_6(k2_funct_1(X2),X1,X1))&m2_relset_1(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1))))),inference(fof_simplification,[status(thm)],[7,theory(equality)])).
% fof(76, plain,![X1]:(((((~(v3_struct_0(X1))&v1_group_1(X1))&v3_group_1(X1))&v4_group_1(X1))&l1_group_1(X1))=>![X2]:((((v1_funct_1(X2)&v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1)))&v1_group_6(X2,X1,X1))&m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)))=>(r2_hidden(X2,k1_autgroup(X1))<=>v4_group_6(X2,X1,X1)))),inference(fof_simplification,[status(thm)],[8,theory(equality)])).
% fof(78, plain,![X1]:((~(v3_struct_0(X1))&l1_struct_0(X1))=>~(v1_xboole_0(u1_struct_0(X1)))),inference(fof_simplification,[status(thm)],[13,theory(equality)])).
% fof(79, plain,![X1]:((((~(v3_struct_0(X1))&v3_group_1(X1))&v4_group_1(X1))&l1_group_1(X1))=>![X2]:((((~(v3_struct_0(X2))&v3_group_1(X2))&v4_group_1(X2))&l1_group_1(X2))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1)))&v1_group_6(X3,X2,X1))&m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)))=>![X4]:((((v1_funct_1(X4)&v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2)))&v1_group_6(X4,X1,X2))&m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)))=>((v4_group_6(X3,X2,X1)&X4=k2_funct_1(X3))=>v4_group_6(X4,X1,X2)))))),inference(fof_simplification,[status(thm)],[14,theory(equality)])).
% fof(80, plain,![X1]:(((((~(v3_struct_0(X1))&v1_group_1(X1))&v3_group_1(X1))&v4_group_1(X1))&l1_group_1(X1))=>![X2]:(m1_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1))=>(X2=k1_autgroup(X1)<=>(![X3]:(m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),X2)=>(((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1)))&v1_group_6(X3,X1,X1))&m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1))))&![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1)))&v1_group_6(X3,X1,X1))&m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1)))=>(r2_hidden(X3,X2)<=>(v2_funct_1(X3)&v3_group_6(X3,X1,X1)))))))),inference(fof_simplification,[status(thm)],[15,theory(equality)])).
% fof(91, plain,![X1]:![X2]:![X3]:((~(v1_xboole_0(X2))&m1_fraenkel(X3,X1,X2))=>![X4]:(m2_fraenkel(X4,X1,X2,X3)<=>m1_subset_1(X4,X3))),inference(fof_simplification,[status(thm)],[43,theory(equality)])).
% fof(93, plain,![X1]:![X2]:![X3]:(m1_fraenkel(X3,X1,X2)=>(~(v1_xboole_0(X3))&v1_fraenkel(X3))),inference(fof_simplification,[status(thm)],[53,theory(equality)])).
% fof(95, negated_conjecture,~(![X1]:(((((~(v3_struct_0(X1))&v1_group_1(X1))&v3_group_1(X1))&v4_group_1(X1))&l1_group_1(X1))=>![X2]:(m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))=>m2_fraenkel(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))))),inference(fof_simplification,[status(thm)],[70,theory(equality)])).
% fof(108, plain,![X1]:(((((v3_struct_0(X1)|~(v1_group_1(X1)))|~(v3_group_1(X1)))|~(v4_group_1(X1)))|~(l1_group_1(X1)))|m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))),inference(fof_nnf,[status(thm)],[72])).
% fof(109, plain,![X2]:(((((v3_struct_0(X2)|~(v1_group_1(X2)))|~(v3_group_1(X2)))|~(v4_group_1(X2)))|~(l1_group_1(X2)))|m1_fraenkel(k1_autgroup(X2),u1_struct_0(X2),u1_struct_0(X2))),inference(variable_rename,[status(thm)],[108])).
% cnf(110,plain,(m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))|v3_struct_0(X1)|~l1_group_1(X1)|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)),inference(split_conjunct,[status(thm)],[109])).
% fof(124, plain,![X1]:(((((v3_struct_0(X1)|~(v1_group_1(X1)))|~(v3_group_1(X1)))|~(v4_group_1(X1)))|~(l1_group_1(X1)))|![X2]:(~(m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)))|(((v1_funct_1(k2_funct_1(X2))&v1_funct_2(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1)))&v1_group_6(k2_funct_1(X2),X1,X1))&m2_relset_1(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1))))),inference(fof_nnf,[status(thm)],[75])).
% fof(125, plain,![X3]:(((((v3_struct_0(X3)|~(v1_group_1(X3)))|~(v3_group_1(X3)))|~(v4_group_1(X3)))|~(l1_group_1(X3)))|![X4]:(~(m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k1_autgroup(X3)))|(((v1_funct_1(k2_funct_1(X4))&v1_funct_2(k2_funct_1(X4),u1_struct_0(X3),u1_struct_0(X3)))&v1_group_6(k2_funct_1(X4),X3,X3))&m2_relset_1(k2_funct_1(X4),u1_struct_0(X3),u1_struct_0(X3))))),inference(variable_rename,[status(thm)],[124])).
% fof(126, plain,![X3]:![X4]:((~(m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k1_autgroup(X3)))|(((v1_funct_1(k2_funct_1(X4))&v1_funct_2(k2_funct_1(X4),u1_struct_0(X3),u1_struct_0(X3)))&v1_group_6(k2_funct_1(X4),X3,X3))&m2_relset_1(k2_funct_1(X4),u1_struct_0(X3),u1_struct_0(X3))))|((((v3_struct_0(X3)|~(v1_group_1(X3)))|~(v3_group_1(X3)))|~(v4_group_1(X3)))|~(l1_group_1(X3)))),inference(shift_quantors,[status(thm)],[125])).
% fof(127, plain,![X3]:![X4]:(((((v1_funct_1(k2_funct_1(X4))|~(m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k1_autgroup(X3))))|((((v3_struct_0(X3)|~(v1_group_1(X3)))|~(v3_group_1(X3)))|~(v4_group_1(X3)))|~(l1_group_1(X3))))&((v1_funct_2(k2_funct_1(X4),u1_struct_0(X3),u1_struct_0(X3))|~(m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k1_autgroup(X3))))|((((v3_struct_0(X3)|~(v1_group_1(X3)))|~(v3_group_1(X3)))|~(v4_group_1(X3)))|~(l1_group_1(X3)))))&((v1_group_6(k2_funct_1(X4),X3,X3)|~(m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k1_autgroup(X3))))|((((v3_struct_0(X3)|~(v1_group_1(X3)))|~(v3_group_1(X3)))|~(v4_group_1(X3)))|~(l1_group_1(X3)))))&((m2_relset_1(k2_funct_1(X4),u1_struct_0(X3),u1_struct_0(X3))|~(m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k1_autgroup(X3))))|((((v3_struct_0(X3)|~(v1_group_1(X3)))|~(v3_group_1(X3)))|~(v4_group_1(X3)))|~(l1_group_1(X3))))),inference(distribute,[status(thm)],[126])).
% cnf(128,plain,(v3_struct_0(X1)|m2_relset_1(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1))|~l1_group_1(X1)|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))),inference(split_conjunct,[status(thm)],[127])).
% cnf(129,plain,(v3_struct_0(X1)|v1_group_6(k2_funct_1(X2),X1,X1)|~l1_group_1(X1)|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))),inference(split_conjunct,[status(thm)],[127])).
% cnf(130,plain,(v3_struct_0(X1)|v1_funct_2(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1))|~l1_group_1(X1)|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))),inference(split_conjunct,[status(thm)],[127])).
% cnf(131,plain,(v3_struct_0(X1)|v1_funct_1(k2_funct_1(X2))|~l1_group_1(X1)|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))),inference(split_conjunct,[status(thm)],[127])).
% fof(132, plain,![X1]:(((((v3_struct_0(X1)|~(v1_group_1(X1)))|~(v3_group_1(X1)))|~(v4_group_1(X1)))|~(l1_group_1(X1)))|![X2]:((((~(v1_funct_1(X2))|~(v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))))|~(v1_group_6(X2,X1,X1)))|~(m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))))|((~(r2_hidden(X2,k1_autgroup(X1)))|v4_group_6(X2,X1,X1))&(~(v4_group_6(X2,X1,X1))|r2_hidden(X2,k1_autgroup(X1)))))),inference(fof_nnf,[status(thm)],[76])).
% fof(133, plain,![X3]:(((((v3_struct_0(X3)|~(v1_group_1(X3)))|~(v3_group_1(X3)))|~(v4_group_1(X3)))|~(l1_group_1(X3)))|![X4]:((((~(v1_funct_1(X4))|~(v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))))|~(v1_group_6(X4,X3,X3)))|~(m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3))))|((~(r2_hidden(X4,k1_autgroup(X3)))|v4_group_6(X4,X3,X3))&(~(v4_group_6(X4,X3,X3))|r2_hidden(X4,k1_autgroup(X3)))))),inference(variable_rename,[status(thm)],[132])).
% fof(134, plain,![X3]:![X4]:(((((~(v1_funct_1(X4))|~(v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))))|~(v1_group_6(X4,X3,X3)))|~(m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3))))|((~(r2_hidden(X4,k1_autgroup(X3)))|v4_group_6(X4,X3,X3))&(~(v4_group_6(X4,X3,X3))|r2_hidden(X4,k1_autgroup(X3)))))|((((v3_struct_0(X3)|~(v1_group_1(X3)))|~(v3_group_1(X3)))|~(v4_group_1(X3)))|~(l1_group_1(X3)))),inference(shift_quantors,[status(thm)],[133])).
% fof(135, plain,![X3]:![X4]:((((~(r2_hidden(X4,k1_autgroup(X3)))|v4_group_6(X4,X3,X3))|(((~(v1_funct_1(X4))|~(v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))))|~(v1_group_6(X4,X3,X3)))|~(m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3)))))|((((v3_struct_0(X3)|~(v1_group_1(X3)))|~(v3_group_1(X3)))|~(v4_group_1(X3)))|~(l1_group_1(X3))))&(((~(v4_group_6(X4,X3,X3))|r2_hidden(X4,k1_autgroup(X3)))|(((~(v1_funct_1(X4))|~(v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X3))))|~(v1_group_6(X4,X3,X3)))|~(m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X3)))))|((((v3_struct_0(X3)|~(v1_group_1(X3)))|~(v3_group_1(X3)))|~(v4_group_1(X3)))|~(l1_group_1(X3))))),inference(distribute,[status(thm)],[134])).
% cnf(136,plain,(v3_struct_0(X1)|r2_hidden(X2,k1_autgroup(X1))|~l1_group_1(X1)|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))|~v1_group_6(X2,X1,X1)|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))|~v1_funct_1(X2)|~v4_group_6(X2,X1,X1)),inference(split_conjunct,[status(thm)],[135])).
% cnf(137,plain,(v3_struct_0(X1)|v4_group_6(X2,X1,X1)|~l1_group_1(X1)|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))|~v1_group_6(X2,X1,X1)|~v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))|~v1_funct_1(X2)|~r2_hidden(X2,k1_autgroup(X1))),inference(split_conjunct,[status(thm)],[135])).
% fof(150, plain,![X1]:((v3_struct_0(X1)|~(l1_struct_0(X1)))|~(v1_xboole_0(u1_struct_0(X1)))),inference(fof_nnf,[status(thm)],[78])).
% fof(151, plain,![X2]:((v3_struct_0(X2)|~(l1_struct_0(X2)))|~(v1_xboole_0(u1_struct_0(X2)))),inference(variable_rename,[status(thm)],[150])).
% cnf(152,plain,(v3_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))|~l1_struct_0(X1)),inference(split_conjunct,[status(thm)],[151])).
% fof(153, plain,![X1]:((((v3_struct_0(X1)|~(v3_group_1(X1)))|~(v4_group_1(X1)))|~(l1_group_1(X1)))|![X2]:((((v3_struct_0(X2)|~(v3_group_1(X2)))|~(v4_group_1(X2)))|~(l1_group_1(X2)))|![X3]:((((~(v1_funct_1(X3))|~(v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))))|~(v1_group_6(X3,X2,X1)))|~(m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))))|![X4]:((((~(v1_funct_1(X4))|~(v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))))|~(v1_group_6(X4,X1,X2)))|~(m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))))|((~(v4_group_6(X3,X2,X1))|~(X4=k2_funct_1(X3)))|v4_group_6(X4,X1,X2)))))),inference(fof_nnf,[status(thm)],[79])).
% fof(154, plain,![X5]:((((v3_struct_0(X5)|~(v3_group_1(X5)))|~(v4_group_1(X5)))|~(l1_group_1(X5)))|![X6]:((((v3_struct_0(X6)|~(v3_group_1(X6)))|~(v4_group_1(X6)))|~(l1_group_1(X6)))|![X7]:((((~(v1_funct_1(X7))|~(v1_funct_2(X7,u1_struct_0(X6),u1_struct_0(X5))))|~(v1_group_6(X7,X6,X5)))|~(m2_relset_1(X7,u1_struct_0(X6),u1_struct_0(X5))))|![X8]:((((~(v1_funct_1(X8))|~(v1_funct_2(X8,u1_struct_0(X5),u1_struct_0(X6))))|~(v1_group_6(X8,X5,X6)))|~(m2_relset_1(X8,u1_struct_0(X5),u1_struct_0(X6))))|((~(v4_group_6(X7,X6,X5))|~(X8=k2_funct_1(X7)))|v4_group_6(X8,X5,X6)))))),inference(variable_rename,[status(thm)],[153])).
% fof(155, plain,![X5]:![X6]:![X7]:![X8]:(((((((~(v1_funct_1(X8))|~(v1_funct_2(X8,u1_struct_0(X5),u1_struct_0(X6))))|~(v1_group_6(X8,X5,X6)))|~(m2_relset_1(X8,u1_struct_0(X5),u1_struct_0(X6))))|((~(v4_group_6(X7,X6,X5))|~(X8=k2_funct_1(X7)))|v4_group_6(X8,X5,X6)))|(((~(v1_funct_1(X7))|~(v1_funct_2(X7,u1_struct_0(X6),u1_struct_0(X5))))|~(v1_group_6(X7,X6,X5)))|~(m2_relset_1(X7,u1_struct_0(X6),u1_struct_0(X5)))))|(((v3_struct_0(X6)|~(v3_group_1(X6)))|~(v4_group_1(X6)))|~(l1_group_1(X6))))|(((v3_struct_0(X5)|~(v3_group_1(X5)))|~(v4_group_1(X5)))|~(l1_group_1(X5)))),inference(shift_quantors,[status(thm)],[154])).
% cnf(156,plain,(v3_struct_0(X1)|v3_struct_0(X2)|v4_group_6(X4,X1,X2)|~l1_group_1(X1)|~v4_group_1(X1)|~v3_group_1(X1)|~l1_group_1(X2)|~v4_group_1(X2)|~v3_group_1(X2)|~m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))|~v1_group_6(X3,X2,X1)|~v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))|~v1_funct_1(X3)|X4!=k2_funct_1(X3)|~v4_group_6(X3,X2,X1)|~m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))|~v1_group_6(X4,X1,X2)|~v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))|~v1_funct_1(X4)),inference(split_conjunct,[status(thm)],[155])).
% fof(157, plain,![X1]:(((((v3_struct_0(X1)|~(v1_group_1(X1)))|~(v3_group_1(X1)))|~(v4_group_1(X1)))|~(l1_group_1(X1)))|![X2]:(~(m1_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1)))|((~(X2=k1_autgroup(X1))|(![X3]:(~(m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),X2))|(((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1)))&v1_group_6(X3,X1,X1))&m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1))))&![X3]:((((~(v1_funct_1(X3))|~(v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))))|~(v1_group_6(X3,X1,X1)))|~(m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1))))|((~(r2_hidden(X3,X2))|(v2_funct_1(X3)&v3_group_6(X3,X1,X1)))&((~(v2_funct_1(X3))|~(v3_group_6(X3,X1,X1)))|r2_hidden(X3,X2))))))&((?[X3]:(m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),X2)&(((~(v1_funct_1(X3))|~(v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))))|~(v1_group_6(X3,X1,X1)))|~(m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1)))))|?[X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1)))&v1_group_6(X3,X1,X1))&m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1)))&((~(r2_hidden(X3,X2))|(~(v2_funct_1(X3))|~(v3_group_6(X3,X1,X1))))&(r2_hidden(X3,X2)|(v2_funct_1(X3)&v3_group_6(X3,X1,X1))))))|X2=k1_autgroup(X1))))),inference(fof_nnf,[status(thm)],[80])).
% fof(158, plain,![X4]:(((((v3_struct_0(X4)|~(v1_group_1(X4)))|~(v3_group_1(X4)))|~(v4_group_1(X4)))|~(l1_group_1(X4)))|![X5]:(~(m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4)))|((~(X5=k1_autgroup(X4))|(![X6]:(~(m2_fraenkel(X6,u1_struct_0(X4),u1_struct_0(X4),X5))|(((v1_funct_1(X6)&v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X4)))&v1_group_6(X6,X4,X4))&m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X4))))&![X7]:((((~(v1_funct_1(X7))|~(v1_funct_2(X7,u1_struct_0(X4),u1_struct_0(X4))))|~(v1_group_6(X7,X4,X4)))|~(m2_relset_1(X7,u1_struct_0(X4),u1_struct_0(X4))))|((~(r2_hidden(X7,X5))|(v2_funct_1(X7)&v3_group_6(X7,X4,X4)))&((~(v2_funct_1(X7))|~(v3_group_6(X7,X4,X4)))|r2_hidden(X7,X5))))))&((?[X8]:(m2_fraenkel(X8,u1_struct_0(X4),u1_struct_0(X4),X5)&(((~(v1_funct_1(X8))|~(v1_funct_2(X8,u1_struct_0(X4),u1_struct_0(X4))))|~(v1_group_6(X8,X4,X4)))|~(m2_relset_1(X8,u1_struct_0(X4),u1_struct_0(X4)))))|?[X9]:((((v1_funct_1(X9)&v1_funct_2(X9,u1_struct_0(X4),u1_struct_0(X4)))&v1_group_6(X9,X4,X4))&m2_relset_1(X9,u1_struct_0(X4),u1_struct_0(X4)))&((~(r2_hidden(X9,X5))|(~(v2_funct_1(X9))|~(v3_group_6(X9,X4,X4))))&(r2_hidden(X9,X5)|(v2_funct_1(X9)&v3_group_6(X9,X4,X4))))))|X5=k1_autgroup(X4))))),inference(variable_rename,[status(thm)],[157])).
% fof(159, plain,![X4]:(((((v3_struct_0(X4)|~(v1_group_1(X4)))|~(v3_group_1(X4)))|~(v4_group_1(X4)))|~(l1_group_1(X4)))|![X5]:(~(m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4)))|((~(X5=k1_autgroup(X4))|(![X6]:(~(m2_fraenkel(X6,u1_struct_0(X4),u1_struct_0(X4),X5))|(((v1_funct_1(X6)&v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X4)))&v1_group_6(X6,X4,X4))&m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X4))))&![X7]:((((~(v1_funct_1(X7))|~(v1_funct_2(X7,u1_struct_0(X4),u1_struct_0(X4))))|~(v1_group_6(X7,X4,X4)))|~(m2_relset_1(X7,u1_struct_0(X4),u1_struct_0(X4))))|((~(r2_hidden(X7,X5))|(v2_funct_1(X7)&v3_group_6(X7,X4,X4)))&((~(v2_funct_1(X7))|~(v3_group_6(X7,X4,X4)))|r2_hidden(X7,X5))))))&(((m2_fraenkel(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4),X5)&(((~(v1_funct_1(esk8_2(X4,X5)))|~(v1_funct_2(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))))|~(v1_group_6(esk8_2(X4,X5),X4,X4)))|~(m2_relset_1(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4)))))|((((v1_funct_1(esk9_2(X4,X5))&v1_funct_2(esk9_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4)))&v1_group_6(esk9_2(X4,X5),X4,X4))&m2_relset_1(esk9_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4)))&((~(r2_hidden(esk9_2(X4,X5),X5))|(~(v2_funct_1(esk9_2(X4,X5)))|~(v3_group_6(esk9_2(X4,X5),X4,X4))))&(r2_hidden(esk9_2(X4,X5),X5)|(v2_funct_1(esk9_2(X4,X5))&v3_group_6(esk9_2(X4,X5),X4,X4))))))|X5=k1_autgroup(X4))))),inference(skolemize,[status(esa)],[158])).
% fof(160, plain,![X4]:![X5]:![X6]:![X7]:(((((((((~(v1_funct_1(X7))|~(v1_funct_2(X7,u1_struct_0(X4),u1_struct_0(X4))))|~(v1_group_6(X7,X4,X4)))|~(m2_relset_1(X7,u1_struct_0(X4),u1_struct_0(X4))))|((~(r2_hidden(X7,X5))|(v2_funct_1(X7)&v3_group_6(X7,X4,X4)))&((~(v2_funct_1(X7))|~(v3_group_6(X7,X4,X4)))|r2_hidden(X7,X5))))&(~(m2_fraenkel(X6,u1_struct_0(X4),u1_struct_0(X4),X5))|(((v1_funct_1(X6)&v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X4)))&v1_group_6(X6,X4,X4))&m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X4)))))|~(X5=k1_autgroup(X4)))&(((m2_fraenkel(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4),X5)&(((~(v1_funct_1(esk8_2(X4,X5)))|~(v1_funct_2(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))))|~(v1_group_6(esk8_2(X4,X5),X4,X4)))|~(m2_relset_1(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4)))))|((((v1_funct_1(esk9_2(X4,X5))&v1_funct_2(esk9_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4)))&v1_group_6(esk9_2(X4,X5),X4,X4))&m2_relset_1(esk9_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4)))&((~(r2_hidden(esk9_2(X4,X5),X5))|(~(v2_funct_1(esk9_2(X4,X5)))|~(v3_group_6(esk9_2(X4,X5),X4,X4))))&(r2_hidden(esk9_2(X4,X5),X5)|(v2_funct_1(esk9_2(X4,X5))&v3_group_6(esk9_2(X4,X5),X4,X4))))))|X5=k1_autgroup(X4)))|~(m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))))|((((v3_struct_0(X4)|~(v1_group_1(X4)))|~(v3_group_1(X4)))|~(v4_group_1(X4)))|~(l1_group_1(X4)))),inference(shift_quantors,[status(thm)],[159])).
% fof(161, plain,![X4]:![X5]:![X6]:![X7]:(((((((((v2_funct_1(X7)|~(r2_hidden(X7,X5)))|(((~(v1_funct_1(X7))|~(v1_funct_2(X7,u1_struct_0(X4),u1_struct_0(X4))))|~(v1_group_6(X7,X4,X4)))|~(m2_relset_1(X7,u1_struct_0(X4),u1_struct_0(X4)))))|~(X5=k1_autgroup(X4)))|~(m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))))|((((v3_struct_0(X4)|~(v1_group_1(X4)))|~(v3_group_1(X4)))|~(v4_group_1(X4)))|~(l1_group_1(X4))))&(((((v3_group_6(X7,X4,X4)|~(r2_hidden(X7,X5)))|(((~(v1_funct_1(X7))|~(v1_funct_2(X7,u1_struct_0(X4),u1_struct_0(X4))))|~(v1_group_6(X7,X4,X4)))|~(m2_relset_1(X7,u1_struct_0(X4),u1_struct_0(X4)))))|~(X5=k1_autgroup(X4)))|~(m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))))|((((v3_struct_0(X4)|~(v1_group_1(X4)))|~(v3_group_1(X4)))|~(v4_group_1(X4)))|~(l1_group_1(X4)))))&((((((~(v2_funct_1(X7))|~(v3_group_6(X7,X4,X4)))|r2_hidden(X7,X5))|(((~(v1_funct_1(X7))|~(v1_funct_2(X7,u1_struct_0(X4),u1_struct_0(X4))))|~(v1_group_6(X7,X4,X4)))|~(m2_relset_1(X7,u1_struct_0(X4),u1_struct_0(X4)))))|~(X5=k1_autgroup(X4)))|~(m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))))|((((v3_struct_0(X4)|~(v1_group_1(X4)))|~(v3_group_1(X4)))|~(v4_group_1(X4)))|~(l1_group_1(X4)))))&(((((((v1_funct_1(X6)|~(m2_fraenkel(X6,u1_struct_0(X4),u1_struct_0(X4),X5)))|~(X5=k1_autgroup(X4)))|~(m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))))|((((v3_struct_0(X4)|~(v1_group_1(X4)))|~(v3_group_1(X4)))|~(v4_group_1(X4)))|~(l1_group_1(X4))))&((((v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X4))|~(m2_fraenkel(X6,u1_struct_0(X4),u1_struct_0(X4),X5)))|~(X5=k1_autgroup(X4)))|~(m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))))|((((v3_struct_0(X4)|~(v1_group_1(X4)))|~(v3_group_1(X4)))|~(v4_group_1(X4)))|~(l1_group_1(X4)))))&((((v1_group_6(X6,X4,X4)|~(m2_fraenkel(X6,u1_struct_0(X4),u1_struct_0(X4),X5)))|~(X5=k1_autgroup(X4)))|~(m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))))|((((v3_struct_0(X4)|~(v1_group_1(X4)))|~(v3_group_1(X4)))|~(v4_group_1(X4)))|~(l1_group_1(X4)))))&((((m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X4))|~(m2_fraenkel(X6,u1_struct_0(X4),u1_struct_0(X4),X5)))|~(X5=k1_autgroup(X4)))|~(m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))))|((((v3_struct_0(X4)|~(v1_group_1(X4)))|~(v3_group_1(X4)))|~(v4_group_1(X4)))|~(l1_group_1(X4))))))&(((((((((v1_funct_1(esk9_2(X4,X5))|m2_fraenkel(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4),X5))|X5=k1_autgroup(X4))|~(m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))))|((((v3_struct_0(X4)|~(v1_group_1(X4)))|~(v3_group_1(X4)))|~(v4_group_1(X4)))|~(l1_group_1(X4))))&((((v1_funct_2(esk9_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))|m2_fraenkel(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4),X5))|X5=k1_autgroup(X4))|~(m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))))|((((v3_struct_0(X4)|~(v1_group_1(X4)))|~(v3_group_1(X4)))|~(v4_group_1(X4)))|~(l1_group_1(X4)))))&((((v1_group_6(esk9_2(X4,X5),X4,X4)|m2_fraenkel(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4),X5))|X5=k1_autgroup(X4))|~(m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))))|((((v3_struct_0(X4)|~(v1_group_1(X4)))|~(v3_group_1(X4)))|~(v4_group_1(X4)))|~(l1_group_1(X4)))))&((((m2_relset_1(esk9_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))|m2_fraenkel(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4),X5))|X5=k1_autgroup(X4))|~(m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))))|((((v3_struct_0(X4)|~(v1_group_1(X4)))|~(v3_group_1(X4)))|~(v4_group_1(X4)))|~(l1_group_1(X4)))))&((((((~(r2_hidden(esk9_2(X4,X5),X5))|(~(v2_funct_1(esk9_2(X4,X5)))|~(v3_group_6(esk9_2(X4,X5),X4,X4))))|m2_fraenkel(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4),X5))|X5=k1_autgroup(X4))|~(m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))))|((((v3_struct_0(X4)|~(v1_group_1(X4)))|~(v3_group_1(X4)))|~(v4_group_1(X4)))|~(l1_group_1(X4))))&((((((v2_funct_1(esk9_2(X4,X5))|r2_hidden(esk9_2(X4,X5),X5))|m2_fraenkel(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4),X5))|X5=k1_autgroup(X4))|~(m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))))|((((v3_struct_0(X4)|~(v1_group_1(X4)))|~(v3_group_1(X4)))|~(v4_group_1(X4)))|~(l1_group_1(X4))))&(((((v3_group_6(esk9_2(X4,X5),X4,X4)|r2_hidden(esk9_2(X4,X5),X5))|m2_fraenkel(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4),X5))|X5=k1_autgroup(X4))|~(m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))))|((((v3_struct_0(X4)|~(v1_group_1(X4)))|~(v3_group_1(X4)))|~(v4_group_1(X4)))|~(l1_group_1(X4)))))))&((((((((v1_funct_1(esk9_2(X4,X5))|(((~(v1_funct_1(esk8_2(X4,X5)))|~(v1_funct_2(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))))|~(v1_group_6(esk8_2(X4,X5),X4,X4)))|~(m2_relset_1(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4)))))|X5=k1_autgroup(X4))|~(m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))))|((((v3_struct_0(X4)|~(v1_group_1(X4)))|~(v3_group_1(X4)))|~(v4_group_1(X4)))|~(l1_group_1(X4))))&((((v1_funct_2(esk9_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))|(((~(v1_funct_1(esk8_2(X4,X5)))|~(v1_funct_2(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))))|~(v1_group_6(esk8_2(X4,X5),X4,X4)))|~(m2_relset_1(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4)))))|X5=k1_autgroup(X4))|~(m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))))|((((v3_struct_0(X4)|~(v1_group_1(X4)))|~(v3_group_1(X4)))|~(v4_group_1(X4)))|~(l1_group_1(X4)))))&((((v1_group_6(esk9_2(X4,X5),X4,X4)|(((~(v1_funct_1(esk8_2(X4,X5)))|~(v1_funct_2(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))))|~(v1_group_6(esk8_2(X4,X5),X4,X4)))|~(m2_relset_1(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4)))))|X5=k1_autgroup(X4))|~(m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))))|((((v3_struct_0(X4)|~(v1_group_1(X4)))|~(v3_group_1(X4)))|~(v4_group_1(X4)))|~(l1_group_1(X4)))))&((((m2_relset_1(esk9_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))|(((~(v1_funct_1(esk8_2(X4,X5)))|~(v1_funct_2(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))))|~(v1_group_6(esk8_2(X4,X5),X4,X4)))|~(m2_relset_1(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4)))))|X5=k1_autgroup(X4))|~(m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))))|((((v3_struct_0(X4)|~(v1_group_1(X4)))|~(v3_group_1(X4)))|~(v4_group_1(X4)))|~(l1_group_1(X4)))))&((((((~(r2_hidden(esk9_2(X4,X5),X5))|(~(v2_funct_1(esk9_2(X4,X5)))|~(v3_group_6(esk9_2(X4,X5),X4,X4))))|(((~(v1_funct_1(esk8_2(X4,X5)))|~(v1_funct_2(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))))|~(v1_group_6(esk8_2(X4,X5),X4,X4)))|~(m2_relset_1(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4)))))|X5=k1_autgroup(X4))|~(m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))))|((((v3_struct_0(X4)|~(v1_group_1(X4)))|~(v3_group_1(X4)))|~(v4_group_1(X4)))|~(l1_group_1(X4))))&((((((v2_funct_1(esk9_2(X4,X5))|r2_hidden(esk9_2(X4,X5),X5))|(((~(v1_funct_1(esk8_2(X4,X5)))|~(v1_funct_2(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))))|~(v1_group_6(esk8_2(X4,X5),X4,X4)))|~(m2_relset_1(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4)))))|X5=k1_autgroup(X4))|~(m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))))|((((v3_struct_0(X4)|~(v1_group_1(X4)))|~(v3_group_1(X4)))|~(v4_group_1(X4)))|~(l1_group_1(X4))))&(((((v3_group_6(esk9_2(X4,X5),X4,X4)|r2_hidden(esk9_2(X4,X5),X5))|(((~(v1_funct_1(esk8_2(X4,X5)))|~(v1_funct_2(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4))))|~(v1_group_6(esk8_2(X4,X5),X4,X4)))|~(m2_relset_1(esk8_2(X4,X5),u1_struct_0(X4),u1_struct_0(X4)))))|X5=k1_autgroup(X4))|~(m1_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4))))|((((v3_struct_0(X4)|~(v1_group_1(X4)))|~(v3_group_1(X4)))|~(v4_group_1(X4)))|~(l1_group_1(X4))))))))),inference(distribute,[status(thm)],[160])).
% cnf(176,plain,(v3_struct_0(X1)|m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1))|~l1_group_1(X1)|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~m1_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1))|X2!=k1_autgroup(X1)|~m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),X2)),inference(split_conjunct,[status(thm)],[161])).
% cnf(177,plain,(v3_struct_0(X1)|v1_group_6(X3,X1,X1)|~l1_group_1(X1)|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~m1_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1))|X2!=k1_autgroup(X1)|~m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),X2)),inference(split_conjunct,[status(thm)],[161])).
% cnf(178,plain,(v3_struct_0(X1)|v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))|~l1_group_1(X1)|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~m1_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1))|X2!=k1_autgroup(X1)|~m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),X2)),inference(split_conjunct,[status(thm)],[161])).
% cnf(179,plain,(v3_struct_0(X1)|v1_funct_1(X3)|~l1_group_1(X1)|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~m1_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1))|X2!=k1_autgroup(X1)|~m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),X2)),inference(split_conjunct,[status(thm)],[161])).
% fof(190, plain,![X1]:(~(l1_group_1(X1))|l1_struct_0(X1)),inference(fof_nnf,[status(thm)],[18])).
% fof(191, plain,![X2]:(~(l1_group_1(X2))|l1_struct_0(X2)),inference(variable_rename,[status(thm)],[190])).
% cnf(192,plain,(l1_struct_0(X1)|~l1_group_1(X1)),inference(split_conjunct,[status(thm)],[191])).
% fof(308, plain,![X1]:![X2]:(~(r2_hidden(X1,X2))|m1_subset_1(X1,X2)),inference(fof_nnf,[status(thm)],[41])).
% fof(309, plain,![X3]:![X4]:(~(r2_hidden(X3,X4))|m1_subset_1(X3,X4)),inference(variable_rename,[status(thm)],[308])).
% cnf(310,plain,(m1_subset_1(X1,X2)|~r2_hidden(X1,X2)),inference(split_conjunct,[status(thm)],[309])).
% fof(314, plain,![X1]:![X2]:![X3]:((v1_xboole_0(X2)|~(m1_fraenkel(X3,X1,X2)))|![X4]:((~(m2_fraenkel(X4,X1,X2,X3))|m1_subset_1(X4,X3))&(~(m1_subset_1(X4,X3))|m2_fraenkel(X4,X1,X2,X3)))),inference(fof_nnf,[status(thm)],[91])).
% fof(315, plain,![X5]:![X6]:![X7]:((v1_xboole_0(X6)|~(m1_fraenkel(X7,X5,X6)))|![X8]:((~(m2_fraenkel(X8,X5,X6,X7))|m1_subset_1(X8,X7))&(~(m1_subset_1(X8,X7))|m2_fraenkel(X8,X5,X6,X7)))),inference(variable_rename,[status(thm)],[314])).
% fof(316, plain,![X5]:![X6]:![X7]:![X8]:(((~(m2_fraenkel(X8,X5,X6,X7))|m1_subset_1(X8,X7))&(~(m1_subset_1(X8,X7))|m2_fraenkel(X8,X5,X6,X7)))|(v1_xboole_0(X6)|~(m1_fraenkel(X7,X5,X6)))),inference(shift_quantors,[status(thm)],[315])).
% fof(317, plain,![X5]:![X6]:![X7]:![X8]:(((~(m2_fraenkel(X8,X5,X6,X7))|m1_subset_1(X8,X7))|(v1_xboole_0(X6)|~(m1_fraenkel(X7,X5,X6))))&((~(m1_subset_1(X8,X7))|m2_fraenkel(X8,X5,X6,X7))|(v1_xboole_0(X6)|~(m1_fraenkel(X7,X5,X6))))),inference(distribute,[status(thm)],[316])).
% cnf(318,plain,(v1_xboole_0(X3)|m2_fraenkel(X4,X2,X3,X1)|~m1_fraenkel(X1,X2,X3)|~m1_subset_1(X4,X1)),inference(split_conjunct,[status(thm)],[317])).
% cnf(319,plain,(v1_xboole_0(X3)|m1_subset_1(X4,X1)|~m1_fraenkel(X1,X2,X3)|~m2_fraenkel(X4,X2,X3,X1)),inference(split_conjunct,[status(thm)],[317])).
% fof(354, plain,![X1]:![X2]:(~(m1_subset_1(X1,X2))|(v1_xboole_0(X2)|r2_hidden(X1,X2))),inference(fof_nnf,[status(thm)],[51])).
% fof(355, plain,![X3]:![X4]:(~(m1_subset_1(X3,X4))|(v1_xboole_0(X4)|r2_hidden(X3,X4))),inference(variable_rename,[status(thm)],[354])).
% cnf(356,plain,(r2_hidden(X1,X2)|v1_xboole_0(X2)|~m1_subset_1(X1,X2)),inference(split_conjunct,[status(thm)],[355])).
% fof(360, plain,![X1]:![X2]:![X3]:(~(m1_fraenkel(X3,X1,X2))|(~(v1_xboole_0(X3))&v1_fraenkel(X3))),inference(fof_nnf,[status(thm)],[93])).
% fof(361, plain,![X4]:![X5]:![X6]:(~(m1_fraenkel(X6,X4,X5))|(~(v1_xboole_0(X6))&v1_fraenkel(X6))),inference(variable_rename,[status(thm)],[360])).
% fof(362, plain,![X4]:![X5]:![X6]:((~(v1_xboole_0(X6))|~(m1_fraenkel(X6,X4,X5)))&(v1_fraenkel(X6)|~(m1_fraenkel(X6,X4,X5)))),inference(distribute,[status(thm)],[361])).
% cnf(364,plain,(~m1_fraenkel(X1,X2,X3)|~v1_xboole_0(X1)),inference(split_conjunct,[status(thm)],[362])).
% fof(399, negated_conjecture,?[X1]:(((((~(v3_struct_0(X1))&v1_group_1(X1))&v3_group_1(X1))&v4_group_1(X1))&l1_group_1(X1))&?[X2]:(m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))&~(m2_fraenkel(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))))),inference(fof_nnf,[status(thm)],[95])).
% fof(400, negated_conjecture,?[X3]:(((((~(v3_struct_0(X3))&v1_group_1(X3))&v3_group_1(X3))&v4_group_1(X3))&l1_group_1(X3))&?[X4]:(m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k1_autgroup(X3))&~(m2_fraenkel(k2_funct_1(X4),u1_struct_0(X3),u1_struct_0(X3),k1_autgroup(X3))))),inference(variable_rename,[status(thm)],[399])).
% fof(401, negated_conjecture,(((((~(v3_struct_0(esk25_0))&v1_group_1(esk25_0))&v3_group_1(esk25_0))&v4_group_1(esk25_0))&l1_group_1(esk25_0))&(m2_fraenkel(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0),k1_autgroup(esk25_0))&~(m2_fraenkel(k2_funct_1(esk26_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0),k1_autgroup(esk25_0))))),inference(skolemize,[status(esa)],[400])).
% cnf(402,negated_conjecture,(~m2_fraenkel(k2_funct_1(esk26_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0),k1_autgroup(esk25_0))),inference(split_conjunct,[status(thm)],[401])).
% cnf(403,negated_conjecture,(m2_fraenkel(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0),k1_autgroup(esk25_0))),inference(split_conjunct,[status(thm)],[401])).
% cnf(404,negated_conjecture,(l1_group_1(esk25_0)),inference(split_conjunct,[status(thm)],[401])).
% cnf(405,negated_conjecture,(v4_group_1(esk25_0)),inference(split_conjunct,[status(thm)],[401])).
% cnf(406,negated_conjecture,(v3_group_1(esk25_0)),inference(split_conjunct,[status(thm)],[401])).
% cnf(407,negated_conjecture,(v1_group_1(esk25_0)),inference(split_conjunct,[status(thm)],[401])).
% cnf(408,negated_conjecture,(~v3_struct_0(esk25_0)),inference(split_conjunct,[status(thm)],[401])).
% cnf(413,negated_conjecture,(l1_struct_0(esk25_0)),inference(spm,[status(thm)],[192,404,theory(equality)])).
% cnf(461,plain,(v3_struct_0(X1)|~v1_xboole_0(k1_autgroup(X1))|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~l1_group_1(X1)),inference(spm,[status(thm)],[364,110,theory(equality)])).
% cnf(477,negated_conjecture,(v1_funct_1(k2_funct_1(esk26_0))|v3_struct_0(esk25_0)|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(spm,[status(thm)],[131,403,theory(equality)])).
% cnf(478,negated_conjecture,(v1_funct_1(k2_funct_1(esk26_0))|v3_struct_0(esk25_0)|$false|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[477,405,theory(equality)])).
% cnf(479,negated_conjecture,(v1_funct_1(k2_funct_1(esk26_0))|v3_struct_0(esk25_0)|$false|$false|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[478,406,theory(equality)])).
% cnf(480,negated_conjecture,(v1_funct_1(k2_funct_1(esk26_0))|v3_struct_0(esk25_0)|$false|$false|$false|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[479,407,theory(equality)])).
% cnf(481,negated_conjecture,(v1_funct_1(k2_funct_1(esk26_0))|v3_struct_0(esk25_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[480,404,theory(equality)])).
% cnf(482,negated_conjecture,(v1_funct_1(k2_funct_1(esk26_0))|v3_struct_0(esk25_0)),inference(cn,[status(thm)],[481,theory(equality)])).
% cnf(483,negated_conjecture,(v1_funct_1(k2_funct_1(esk26_0))),inference(sr,[status(thm)],[482,408,theory(equality)])).
% cnf(489,negated_conjecture,(v1_xboole_0(u1_struct_0(esk25_0))|~m1_subset_1(k2_funct_1(esk26_0),k1_autgroup(esk25_0))|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))),inference(spm,[status(thm)],[402,318,theory(equality)])).
% cnf(492,negated_conjecture,(m1_subset_1(esk26_0,k1_autgroup(esk25_0))|v1_xboole_0(u1_struct_0(esk25_0))|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))),inference(spm,[status(thm)],[319,403,theory(equality)])).
% cnf(496,negated_conjecture,(v1_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|v3_struct_0(esk25_0)|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(spm,[status(thm)],[129,403,theory(equality)])).
% cnf(498,negated_conjecture,(v1_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|v3_struct_0(esk25_0)|$false|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[496,405,theory(equality)])).
% cnf(499,negated_conjecture,(v1_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|v3_struct_0(esk25_0)|$false|$false|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[498,406,theory(equality)])).
% cnf(500,negated_conjecture,(v1_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|v3_struct_0(esk25_0)|$false|$false|$false|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[499,407,theory(equality)])).
% cnf(501,negated_conjecture,(v1_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|v3_struct_0(esk25_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[500,404,theory(equality)])).
% cnf(502,negated_conjecture,(v1_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|v3_struct_0(esk25_0)),inference(cn,[status(thm)],[501,theory(equality)])).
% cnf(503,negated_conjecture,(v1_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)),inference(sr,[status(thm)],[502,408,theory(equality)])).
% cnf(531,negated_conjecture,(v1_funct_2(k2_funct_1(esk26_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(spm,[status(thm)],[130,403,theory(equality)])).
% cnf(534,negated_conjecture,(v1_funct_2(k2_funct_1(esk26_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[531,405,theory(equality)])).
% cnf(535,negated_conjecture,(v1_funct_2(k2_funct_1(esk26_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|$false|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[534,406,theory(equality)])).
% cnf(536,negated_conjecture,(v1_funct_2(k2_funct_1(esk26_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|$false|$false|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[535,407,theory(equality)])).
% cnf(537,negated_conjecture,(v1_funct_2(k2_funct_1(esk26_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[536,404,theory(equality)])).
% cnf(538,negated_conjecture,(v1_funct_2(k2_funct_1(esk26_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)),inference(cn,[status(thm)],[537,theory(equality)])).
% cnf(539,negated_conjecture,(v1_funct_2(k2_funct_1(esk26_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))),inference(sr,[status(thm)],[538,408,theory(equality)])).
% cnf(540,negated_conjecture,(m2_relset_1(k2_funct_1(esk26_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(spm,[status(thm)],[128,403,theory(equality)])).
% cnf(543,negated_conjecture,(m2_relset_1(k2_funct_1(esk26_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[540,405,theory(equality)])).
% cnf(544,negated_conjecture,(m2_relset_1(k2_funct_1(esk26_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|$false|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[543,406,theory(equality)])).
% cnf(545,negated_conjecture,(m2_relset_1(k2_funct_1(esk26_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|$false|$false|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[544,407,theory(equality)])).
% cnf(546,negated_conjecture,(m2_relset_1(k2_funct_1(esk26_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[545,404,theory(equality)])).
% cnf(547,negated_conjecture,(m2_relset_1(k2_funct_1(esk26_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)),inference(cn,[status(thm)],[546,theory(equality)])).
% cnf(548,negated_conjecture,(m2_relset_1(k2_funct_1(esk26_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))),inference(sr,[status(thm)],[547,408,theory(equality)])).
% cnf(567,negated_conjecture,(v1_funct_1(esk26_0)|v3_struct_0(esk25_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(spm,[status(thm)],[179,403,theory(equality)])).
% cnf(570,negated_conjecture,(v1_funct_1(esk26_0)|v3_struct_0(esk25_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[567,405,theory(equality)])).
% cnf(571,negated_conjecture,(v1_funct_1(esk26_0)|v3_struct_0(esk25_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|$false|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[570,406,theory(equality)])).
% cnf(572,negated_conjecture,(v1_funct_1(esk26_0)|v3_struct_0(esk25_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|$false|$false|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[571,407,theory(equality)])).
% cnf(573,negated_conjecture,(v1_funct_1(esk26_0)|v3_struct_0(esk25_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|$false|$false|$false),inference(rw,[status(thm)],[572,404,theory(equality)])).
% cnf(574,negated_conjecture,(v1_funct_1(esk26_0)|v3_struct_0(esk25_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))),inference(cn,[status(thm)],[573,theory(equality)])).
% cnf(575,negated_conjecture,(v1_funct_1(esk26_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))),inference(sr,[status(thm)],[574,408,theory(equality)])).
% cnf(576,negated_conjecture,(v1_group_6(esk26_0,esk25_0,esk25_0)|v3_struct_0(esk25_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(spm,[status(thm)],[177,403,theory(equality)])).
% cnf(579,negated_conjecture,(v1_group_6(esk26_0,esk25_0,esk25_0)|v3_struct_0(esk25_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[576,405,theory(equality)])).
% cnf(580,negated_conjecture,(v1_group_6(esk26_0,esk25_0,esk25_0)|v3_struct_0(esk25_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|$false|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[579,406,theory(equality)])).
% cnf(581,negated_conjecture,(v1_group_6(esk26_0,esk25_0,esk25_0)|v3_struct_0(esk25_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|$false|$false|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[580,407,theory(equality)])).
% cnf(582,negated_conjecture,(v1_group_6(esk26_0,esk25_0,esk25_0)|v3_struct_0(esk25_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|$false|$false|$false),inference(rw,[status(thm)],[581,404,theory(equality)])).
% cnf(583,negated_conjecture,(v1_group_6(esk26_0,esk25_0,esk25_0)|v3_struct_0(esk25_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))),inference(cn,[status(thm)],[582,theory(equality)])).
% cnf(584,negated_conjecture,(v1_group_6(esk26_0,esk25_0,esk25_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))),inference(sr,[status(thm)],[583,408,theory(equality)])).
% cnf(585,negated_conjecture,(v1_funct_2(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(spm,[status(thm)],[178,403,theory(equality)])).
% cnf(588,negated_conjecture,(v1_funct_2(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[585,405,theory(equality)])).
% cnf(589,negated_conjecture,(v1_funct_2(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|$false|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[588,406,theory(equality)])).
% cnf(590,negated_conjecture,(v1_funct_2(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|$false|$false|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[589,407,theory(equality)])).
% cnf(591,negated_conjecture,(v1_funct_2(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|$false|$false|$false),inference(rw,[status(thm)],[590,404,theory(equality)])).
% cnf(592,negated_conjecture,(v1_funct_2(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))),inference(cn,[status(thm)],[591,theory(equality)])).
% cnf(593,negated_conjecture,(v1_funct_2(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))),inference(sr,[status(thm)],[592,408,theory(equality)])).
% cnf(594,negated_conjecture,(m2_relset_1(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(spm,[status(thm)],[176,403,theory(equality)])).
% cnf(597,negated_conjecture,(m2_relset_1(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[594,405,theory(equality)])).
% cnf(598,negated_conjecture,(m2_relset_1(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|$false|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[597,406,theory(equality)])).
% cnf(599,negated_conjecture,(m2_relset_1(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|$false|$false|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[598,407,theory(equality)])).
% cnf(600,negated_conjecture,(m2_relset_1(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|$false|$false|$false),inference(rw,[status(thm)],[599,404,theory(equality)])).
% cnf(601,negated_conjecture,(m2_relset_1(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))),inference(cn,[status(thm)],[600,theory(equality)])).
% cnf(602,negated_conjecture,(m2_relset_1(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|~m1_fraenkel(k1_autgroup(esk25_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))),inference(sr,[status(thm)],[601,408,theory(equality)])).
% cnf(708,negated_conjecture,(r2_hidden(k2_funct_1(esk26_0),k1_autgroup(esk25_0))|v3_struct_0(esk25_0)|~v4_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|~v1_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|~v1_funct_2(k2_funct_1(esk26_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|~v1_funct_1(k2_funct_1(esk26_0))|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(spm,[status(thm)],[136,548,theory(equality)])).
% cnf(715,negated_conjecture,(v4_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|v3_struct_0(esk25_0)|k2_funct_1(X1)!=k2_funct_1(esk26_0)|~v4_group_6(X1,esk25_0,esk25_0)|~m2_relset_1(X1,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|~v1_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|~v1_group_6(X1,esk25_0,esk25_0)|~v1_funct_2(k2_funct_1(esk26_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|~v1_funct_2(X1,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|~v1_funct_1(k2_funct_1(esk26_0))|~v1_funct_1(X1)|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(spm,[status(thm)],[156,548,theory(equality)])).
% cnf(727,negated_conjecture,(r2_hidden(k2_funct_1(esk26_0),k1_autgroup(esk25_0))|v3_struct_0(esk25_0)|~v4_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|$false|~v1_funct_2(k2_funct_1(esk26_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|~v1_funct_1(k2_funct_1(esk26_0))|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[708,503,theory(equality)])).
% cnf(728,negated_conjecture,(r2_hidden(k2_funct_1(esk26_0),k1_autgroup(esk25_0))|v3_struct_0(esk25_0)|~v4_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|$false|$false|~v1_funct_1(k2_funct_1(esk26_0))|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[727,539,theory(equality)])).
% cnf(729,negated_conjecture,(r2_hidden(k2_funct_1(esk26_0),k1_autgroup(esk25_0))|v3_struct_0(esk25_0)|~v4_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|$false|$false|$false|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[728,483,theory(equality)])).
% cnf(730,negated_conjecture,(r2_hidden(k2_funct_1(esk26_0),k1_autgroup(esk25_0))|v3_struct_0(esk25_0)|~v4_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|$false|$false|$false|$false|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[729,405,theory(equality)])).
% cnf(731,negated_conjecture,(r2_hidden(k2_funct_1(esk26_0),k1_autgroup(esk25_0))|v3_struct_0(esk25_0)|~v4_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|$false|$false|$false|$false|$false|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[730,406,theory(equality)])).
% cnf(732,negated_conjecture,(r2_hidden(k2_funct_1(esk26_0),k1_autgroup(esk25_0))|v3_struct_0(esk25_0)|~v4_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|$false|$false|$false|$false|$false|$false|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[731,407,theory(equality)])).
% cnf(733,negated_conjecture,(r2_hidden(k2_funct_1(esk26_0),k1_autgroup(esk25_0))|v3_struct_0(esk25_0)|~v4_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|$false|$false|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[732,404,theory(equality)])).
% cnf(734,negated_conjecture,(r2_hidden(k2_funct_1(esk26_0),k1_autgroup(esk25_0))|v3_struct_0(esk25_0)|~v4_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)),inference(cn,[status(thm)],[733,theory(equality)])).
% cnf(735,negated_conjecture,(r2_hidden(k2_funct_1(esk26_0),k1_autgroup(esk25_0))|~v4_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)),inference(sr,[status(thm)],[734,408,theory(equality)])).
% cnf(786,negated_conjecture,(v4_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|v3_struct_0(esk25_0)|k2_funct_1(X1)!=k2_funct_1(esk26_0)|~v4_group_6(X1,esk25_0,esk25_0)|~m2_relset_1(X1,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|~v1_group_6(X1,esk25_0,esk25_0)|~v1_funct_2(k2_funct_1(esk26_0),u1_struct_0(esk25_0),u1_struct_0(esk25_0))|~v1_funct_2(X1,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|~v1_funct_1(k2_funct_1(esk26_0))|~v1_funct_1(X1)|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[715,503,theory(equality)])).
% cnf(787,negated_conjecture,(v4_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|v3_struct_0(esk25_0)|k2_funct_1(X1)!=k2_funct_1(esk26_0)|~v4_group_6(X1,esk25_0,esk25_0)|~m2_relset_1(X1,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|~v1_group_6(X1,esk25_0,esk25_0)|$false|~v1_funct_2(X1,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|~v1_funct_1(k2_funct_1(esk26_0))|~v1_funct_1(X1)|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[786,539,theory(equality)])).
% cnf(788,negated_conjecture,(v4_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|v3_struct_0(esk25_0)|k2_funct_1(X1)!=k2_funct_1(esk26_0)|~v4_group_6(X1,esk25_0,esk25_0)|~m2_relset_1(X1,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|~v1_group_6(X1,esk25_0,esk25_0)|$false|~v1_funct_2(X1,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|~v1_funct_1(X1)|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[787,483,theory(equality)])).
% cnf(789,negated_conjecture,(v4_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|v3_struct_0(esk25_0)|k2_funct_1(X1)!=k2_funct_1(esk26_0)|~v4_group_6(X1,esk25_0,esk25_0)|~m2_relset_1(X1,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|~v1_group_6(X1,esk25_0,esk25_0)|$false|~v1_funct_2(X1,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|~v1_funct_1(X1)|$false|~v3_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[788,405,theory(equality)])).
% cnf(790,negated_conjecture,(v4_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|v3_struct_0(esk25_0)|k2_funct_1(X1)!=k2_funct_1(esk26_0)|~v4_group_6(X1,esk25_0,esk25_0)|~m2_relset_1(X1,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|~v1_group_6(X1,esk25_0,esk25_0)|$false|~v1_funct_2(X1,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|~v1_funct_1(X1)|$false|$false|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[789,406,theory(equality)])).
% cnf(791,negated_conjecture,(v4_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|v3_struct_0(esk25_0)|k2_funct_1(X1)!=k2_funct_1(esk26_0)|~v4_group_6(X1,esk25_0,esk25_0)|~m2_relset_1(X1,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|~v1_group_6(X1,esk25_0,esk25_0)|$false|~v1_funct_2(X1,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|$false|~v1_funct_1(X1)|$false|$false|$false),inference(rw,[status(thm)],[790,404,theory(equality)])).
% cnf(792,negated_conjecture,(v4_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|v3_struct_0(esk25_0)|k2_funct_1(X1)!=k2_funct_1(esk26_0)|~v4_group_6(X1,esk25_0,esk25_0)|~m2_relset_1(X1,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|~v1_group_6(X1,esk25_0,esk25_0)|~v1_funct_2(X1,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|~v1_funct_1(X1)),inference(cn,[status(thm)],[791,theory(equality)])).
% cnf(793,negated_conjecture,(v4_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|k2_funct_1(X1)!=k2_funct_1(esk26_0)|~v4_group_6(X1,esk25_0,esk25_0)|~m2_relset_1(X1,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|~v1_group_6(X1,esk25_0,esk25_0)|~v1_funct_2(X1,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|~v1_funct_1(X1)),inference(sr,[status(thm)],[792,408,theory(equality)])).
% cnf(823,negated_conjecture,(v1_funct_1(esk26_0)|v3_struct_0(esk25_0)|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(spm,[status(thm)],[575,110,theory(equality)])).
% cnf(824,negated_conjecture,(v1_funct_1(esk26_0)|v3_struct_0(esk25_0)|$false|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[823,405,theory(equality)])).
% cnf(825,negated_conjecture,(v1_funct_1(esk26_0)|v3_struct_0(esk25_0)|$false|$false|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[824,406,theory(equality)])).
% cnf(826,negated_conjecture,(v1_funct_1(esk26_0)|v3_struct_0(esk25_0)|$false|$false|$false|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[825,407,theory(equality)])).
% cnf(827,negated_conjecture,(v1_funct_1(esk26_0)|v3_struct_0(esk25_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[826,404,theory(equality)])).
% cnf(828,negated_conjecture,(v1_funct_1(esk26_0)|v3_struct_0(esk25_0)),inference(cn,[status(thm)],[827,theory(equality)])).
% cnf(829,negated_conjecture,(v1_funct_1(esk26_0)),inference(sr,[status(thm)],[828,408,theory(equality)])).
% cnf(925,negated_conjecture,(v1_group_6(esk26_0,esk25_0,esk25_0)|v3_struct_0(esk25_0)|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(spm,[status(thm)],[584,110,theory(equality)])).
% cnf(926,negated_conjecture,(v1_group_6(esk26_0,esk25_0,esk25_0)|v3_struct_0(esk25_0)|$false|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[925,405,theory(equality)])).
% cnf(927,negated_conjecture,(v1_group_6(esk26_0,esk25_0,esk25_0)|v3_struct_0(esk25_0)|$false|$false|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[926,406,theory(equality)])).
% cnf(928,negated_conjecture,(v1_group_6(esk26_0,esk25_0,esk25_0)|v3_struct_0(esk25_0)|$false|$false|$false|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[927,407,theory(equality)])).
% cnf(929,negated_conjecture,(v1_group_6(esk26_0,esk25_0,esk25_0)|v3_struct_0(esk25_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[928,404,theory(equality)])).
% cnf(930,negated_conjecture,(v1_group_6(esk26_0,esk25_0,esk25_0)|v3_struct_0(esk25_0)),inference(cn,[status(thm)],[929,theory(equality)])).
% cnf(931,negated_conjecture,(v1_group_6(esk26_0,esk25_0,esk25_0)),inference(sr,[status(thm)],[930,408,theory(equality)])).
% cnf(934,negated_conjecture,(v1_funct_2(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(spm,[status(thm)],[593,110,theory(equality)])).
% cnf(935,negated_conjecture,(v1_funct_2(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[934,405,theory(equality)])).
% cnf(936,negated_conjecture,(v1_funct_2(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|$false|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[935,406,theory(equality)])).
% cnf(937,negated_conjecture,(v1_funct_2(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|$false|$false|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[936,407,theory(equality)])).
% cnf(938,negated_conjecture,(v1_funct_2(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[937,404,theory(equality)])).
% cnf(939,negated_conjecture,(v1_funct_2(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)),inference(cn,[status(thm)],[938,theory(equality)])).
% cnf(940,negated_conjecture,(v1_funct_2(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))),inference(sr,[status(thm)],[939,408,theory(equality)])).
% cnf(942,negated_conjecture,(m2_relset_1(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(spm,[status(thm)],[602,110,theory(equality)])).
% cnf(943,negated_conjecture,(m2_relset_1(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[942,405,theory(equality)])).
% cnf(944,negated_conjecture,(m2_relset_1(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|$false|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[943,406,theory(equality)])).
% cnf(945,negated_conjecture,(m2_relset_1(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|$false|$false|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[944,407,theory(equality)])).
% cnf(946,negated_conjecture,(m2_relset_1(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[945,404,theory(equality)])).
% cnf(947,negated_conjecture,(m2_relset_1(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)),inference(cn,[status(thm)],[946,theory(equality)])).
% cnf(948,negated_conjecture,(m2_relset_1(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))),inference(sr,[status(thm)],[947,408,theory(equality)])).
% cnf(950,negated_conjecture,(v4_group_6(esk26_0,esk25_0,esk25_0)|v3_struct_0(esk25_0)|~r2_hidden(esk26_0,k1_autgroup(esk25_0))|~v1_group_6(esk26_0,esk25_0,esk25_0)|~v1_funct_2(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|~v1_funct_1(esk26_0)|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(spm,[status(thm)],[137,948,theory(equality)])).
% cnf(962,negated_conjecture,(v4_group_6(esk26_0,esk25_0,esk25_0)|v3_struct_0(esk25_0)|~r2_hidden(esk26_0,k1_autgroup(esk25_0))|$false|~v1_funct_2(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|~v1_funct_1(esk26_0)|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[950,931,theory(equality)])).
% cnf(963,negated_conjecture,(v4_group_6(esk26_0,esk25_0,esk25_0)|v3_struct_0(esk25_0)|~r2_hidden(esk26_0,k1_autgroup(esk25_0))|$false|$false|~v1_funct_1(esk26_0)|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[962,940,theory(equality)])).
% cnf(964,negated_conjecture,(v4_group_6(esk26_0,esk25_0,esk25_0)|v3_struct_0(esk25_0)|~r2_hidden(esk26_0,k1_autgroup(esk25_0))|$false|$false|$false|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[963,829,theory(equality)])).
% cnf(965,negated_conjecture,(v4_group_6(esk26_0,esk25_0,esk25_0)|v3_struct_0(esk25_0)|~r2_hidden(esk26_0,k1_autgroup(esk25_0))|$false|$false|$false|$false|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[964,405,theory(equality)])).
% cnf(966,negated_conjecture,(v4_group_6(esk26_0,esk25_0,esk25_0)|v3_struct_0(esk25_0)|~r2_hidden(esk26_0,k1_autgroup(esk25_0))|$false|$false|$false|$false|$false|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[965,406,theory(equality)])).
% cnf(967,negated_conjecture,(v4_group_6(esk26_0,esk25_0,esk25_0)|v3_struct_0(esk25_0)|~r2_hidden(esk26_0,k1_autgroup(esk25_0))|$false|$false|$false|$false|$false|$false|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[966,407,theory(equality)])).
% cnf(968,negated_conjecture,(v4_group_6(esk26_0,esk25_0,esk25_0)|v3_struct_0(esk25_0)|~r2_hidden(esk26_0,k1_autgroup(esk25_0))|$false|$false|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[967,404,theory(equality)])).
% cnf(969,negated_conjecture,(v4_group_6(esk26_0,esk25_0,esk25_0)|v3_struct_0(esk25_0)|~r2_hidden(esk26_0,k1_autgroup(esk25_0))),inference(cn,[status(thm)],[968,theory(equality)])).
% cnf(970,negated_conjecture,(v4_group_6(esk26_0,esk25_0,esk25_0)|~r2_hidden(esk26_0,k1_autgroup(esk25_0))),inference(sr,[status(thm)],[969,408,theory(equality)])).
% cnf(1190,negated_conjecture,(m1_subset_1(esk26_0,k1_autgroup(esk25_0))|v1_xboole_0(u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(spm,[status(thm)],[492,110,theory(equality)])).
% cnf(1191,negated_conjecture,(m1_subset_1(esk26_0,k1_autgroup(esk25_0))|v1_xboole_0(u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[1190,405,theory(equality)])).
% cnf(1192,negated_conjecture,(m1_subset_1(esk26_0,k1_autgroup(esk25_0))|v1_xboole_0(u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|$false|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[1191,406,theory(equality)])).
% cnf(1193,negated_conjecture,(m1_subset_1(esk26_0,k1_autgroup(esk25_0))|v1_xboole_0(u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|$false|$false|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[1192,407,theory(equality)])).
% cnf(1194,negated_conjecture,(m1_subset_1(esk26_0,k1_autgroup(esk25_0))|v1_xboole_0(u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[1193,404,theory(equality)])).
% cnf(1195,negated_conjecture,(m1_subset_1(esk26_0,k1_autgroup(esk25_0))|v1_xboole_0(u1_struct_0(esk25_0))|v3_struct_0(esk25_0)),inference(cn,[status(thm)],[1194,theory(equality)])).
% cnf(1196,negated_conjecture,(m1_subset_1(esk26_0,k1_autgroup(esk25_0))|v1_xboole_0(u1_struct_0(esk25_0))),inference(sr,[status(thm)],[1195,408,theory(equality)])).
% cnf(1203,negated_conjecture,(v1_xboole_0(k1_autgroup(esk25_0))|r2_hidden(esk26_0,k1_autgroup(esk25_0))|v1_xboole_0(u1_struct_0(esk25_0))),inference(spm,[status(thm)],[356,1196,theory(equality)])).
% cnf(1253,negated_conjecture,(v1_xboole_0(u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~m1_subset_1(k2_funct_1(esk26_0),k1_autgroup(esk25_0))|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(spm,[status(thm)],[489,110,theory(equality)])).
% cnf(1254,negated_conjecture,(v1_xboole_0(u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~m1_subset_1(k2_funct_1(esk26_0),k1_autgroup(esk25_0))|$false|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[1253,405,theory(equality)])).
% cnf(1255,negated_conjecture,(v1_xboole_0(u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~m1_subset_1(k2_funct_1(esk26_0),k1_autgroup(esk25_0))|$false|$false|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[1254,406,theory(equality)])).
% cnf(1256,negated_conjecture,(v1_xboole_0(u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~m1_subset_1(k2_funct_1(esk26_0),k1_autgroup(esk25_0))|$false|$false|$false|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[1255,407,theory(equality)])).
% cnf(1257,negated_conjecture,(v1_xboole_0(u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~m1_subset_1(k2_funct_1(esk26_0),k1_autgroup(esk25_0))|$false|$false|$false|$false),inference(rw,[status(thm)],[1256,404,theory(equality)])).
% cnf(1258,negated_conjecture,(v1_xboole_0(u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~m1_subset_1(k2_funct_1(esk26_0),k1_autgroup(esk25_0))),inference(cn,[status(thm)],[1257,theory(equality)])).
% cnf(1259,negated_conjecture,(v1_xboole_0(u1_struct_0(esk25_0))|~m1_subset_1(k2_funct_1(esk26_0),k1_autgroup(esk25_0))),inference(sr,[status(thm)],[1258,408,theory(equality)])).
% cnf(1260,negated_conjecture,(v1_xboole_0(u1_struct_0(esk25_0))|~r2_hidden(k2_funct_1(esk26_0),k1_autgroup(esk25_0))),inference(spm,[status(thm)],[1259,310,theory(equality)])).
% cnf(5463,negated_conjecture,(v4_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|~v4_group_6(esk26_0,esk25_0,esk25_0)|~v1_group_6(esk26_0,esk25_0,esk25_0)|~v1_funct_2(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|~v1_funct_1(esk26_0)),inference(spm,[status(thm)],[793,948,theory(equality)])).
% cnf(5483,negated_conjecture,(v4_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|~v4_group_6(esk26_0,esk25_0,esk25_0)|$false|~v1_funct_2(esk26_0,u1_struct_0(esk25_0),u1_struct_0(esk25_0))|~v1_funct_1(esk26_0)),inference(rw,[status(thm)],[5463,931,theory(equality)])).
% cnf(5484,negated_conjecture,(v4_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|~v4_group_6(esk26_0,esk25_0,esk25_0)|$false|$false|~v1_funct_1(esk26_0)),inference(rw,[status(thm)],[5483,940,theory(equality)])).
% cnf(5485,negated_conjecture,(v4_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|~v4_group_6(esk26_0,esk25_0,esk25_0)|$false|$false|$false),inference(rw,[status(thm)],[5484,829,theory(equality)])).
% cnf(5486,negated_conjecture,(v4_group_6(k2_funct_1(esk26_0),esk25_0,esk25_0)|~v4_group_6(esk26_0,esk25_0,esk25_0)),inference(cn,[status(thm)],[5485,theory(equality)])).
% cnf(5564,negated_conjecture,(r2_hidden(k2_funct_1(esk26_0),k1_autgroup(esk25_0))|~v4_group_6(esk26_0,esk25_0,esk25_0)),inference(spm,[status(thm)],[735,5486,theory(equality)])).
% cnf(5582,negated_conjecture,(v1_xboole_0(u1_struct_0(esk25_0))|~v4_group_6(esk26_0,esk25_0,esk25_0)),inference(spm,[status(thm)],[1260,5564,theory(equality)])).
% cnf(5647,negated_conjecture,(v1_xboole_0(u1_struct_0(esk25_0))|~r2_hidden(esk26_0,k1_autgroup(esk25_0))),inference(spm,[status(thm)],[5582,970,theory(equality)])).
% cnf(5649,negated_conjecture,(v1_xboole_0(u1_struct_0(esk25_0))|v1_xboole_0(k1_autgroup(esk25_0))),inference(spm,[status(thm)],[5647,1203,theory(equality)])).
% cnf(5662,negated_conjecture,(v3_struct_0(esk25_0)|v1_xboole_0(u1_struct_0(esk25_0))|~v4_group_1(esk25_0)|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(spm,[status(thm)],[461,5649,theory(equality)])).
% cnf(5663,negated_conjecture,(v3_struct_0(esk25_0)|v1_xboole_0(u1_struct_0(esk25_0))|$false|~v3_group_1(esk25_0)|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[5662,405,theory(equality)])).
% cnf(5664,negated_conjecture,(v3_struct_0(esk25_0)|v1_xboole_0(u1_struct_0(esk25_0))|$false|$false|~v1_group_1(esk25_0)|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[5663,406,theory(equality)])).
% cnf(5665,negated_conjecture,(v3_struct_0(esk25_0)|v1_xboole_0(u1_struct_0(esk25_0))|$false|$false|$false|~l1_group_1(esk25_0)),inference(rw,[status(thm)],[5664,407,theory(equality)])).
% cnf(5666,negated_conjecture,(v3_struct_0(esk25_0)|v1_xboole_0(u1_struct_0(esk25_0))|$false|$false|$false|$false),inference(rw,[status(thm)],[5665,404,theory(equality)])).
% cnf(5667,negated_conjecture,(v3_struct_0(esk25_0)|v1_xboole_0(u1_struct_0(esk25_0))),inference(cn,[status(thm)],[5666,theory(equality)])).
% cnf(5668,negated_conjecture,(v1_xboole_0(u1_struct_0(esk25_0))),inference(sr,[status(thm)],[5667,408,theory(equality)])).
% cnf(5681,negated_conjecture,(v3_struct_0(esk25_0)|~l1_struct_0(esk25_0)),inference(spm,[status(thm)],[152,5668,theory(equality)])).
% cnf(5690,negated_conjecture,(v3_struct_0(esk25_0)|$false),inference(rw,[status(thm)],[5681,413,theory(equality)])).
% cnf(5691,negated_conjecture,(v3_struct_0(esk25_0)),inference(cn,[status(thm)],[5690,theory(equality)])).
% cnf(5692,negated_conjecture,($false),inference(sr,[status(thm)],[5691,408,theory(equality)])).
% cnf(5693,negated_conjecture,($false),5692,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1339
% # ...of these trivial : 9
% # ...subsumed : 513
% # ...remaining for further processing: 817
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 10
% # Backward-rewritten : 36
% # Generated clauses : 2873
% # ...of the previous two non-trivial : 2380
% # Contextual simplify-reflections : 511
% # Paramodulations : 2855
% # Factorizations : 0
% # Equation resolutions : 3
% # Current number of processed clauses: 629
% # Positive orientable unit clauses: 81
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 17
% # Non-unit-clauses : 531
% # Current number of unprocessed clauses: 1247
% # ...number of literals in the above : 9296
% # Clause-clause subsumption calls (NU) : 25064
% # Rec. Clause-clause subsumption calls : 12562
% # Unit Clause-clause subsumption calls : 1414
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 17
% # Indexed BW rewrite successes : 16
% # Backwards rewriting index: 489 leaves, 1.54+/-1.387 terms/leaf
% # Paramod-from index: 233 leaves, 1.15+/-0.729 terms/leaf
% # Paramod-into index: 403 leaves, 1.35+/-1.011 terms/leaf
% # -------------------------------------------------
% # User time : 0.283 s
% # System time : 0.012 s
% # Total time : 0.295 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.48 CPU 0.59 WC
% FINAL PrfWatch: 0.48 CPU 0.59 WC
% SZS output end Solution for /tmp/SystemOnTPTP3022/GRP620+1.tptp
%
%------------------------------------------------------------------------------