TSTP Solution File: GRP624+1 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : GRP624+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 : art03.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 06:01:49 EST 2010
% Result : Theorem 5.11s
% Output : Solution 5.11s
% 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/SystemOnTPTP11488/GRP624+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP11488/GRP624+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP11488/GRP624+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 11585
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% # Preprocessing time : 0.022 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.92 CPU 4.01 WC
% # 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))=>![X2]:(m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))=>m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)))),file('/tmp/SRASS.s.p', t13_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))=>m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))),file('/tmp/SRASS.s.p', dt_k1_autgroup)).
% fof(10, 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,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1)))&m2_relset_1(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1)))=>(X2=k2_autgroup(X1)<=>![X3]:(m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))=>![X4]:(m2_fraenkel(X4,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))=>k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),X2,X3,X4)=k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X4,X3)))))),file('/tmp/SRASS.s.p', d2_autgroup)).
% fof(12, axiom,![X1]:(((((~(v3_struct_0(X1))&v1_group_1(X1))&v3_group_1(X1))&v4_group_1(X1))&l1_group_1(X1))=>((v1_funct_1(k2_autgroup(X1))&v1_funct_2(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1)))&m2_relset_1(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1)))),file('/tmp/SRASS.s.p', dt_k2_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(20, axiom,![X1]:(l1_group_1(X1)=>l1_struct_0(X1)),file('/tmp/SRASS.s.p', dt_l1_group_1)).
% fof(37, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:(((((((~(v1_xboole_0(X1))&~(v1_xboole_0(X2)))&v1_funct_1(X4))&v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3))&m1_relset_1(X4,k2_zfmisc_1(X1,X2),X3))&m1_subset_1(X5,X1))&m1_subset_1(X6,X2))=>k2_binop_1(X1,X2,X3,X4,X5,X6)=k1_binop_1(X4,X5,X6)),file('/tmp/SRASS.s.p', redefinition_k2_binop_1)).
% fof(38, axiom,![X1]:![X2]:![X3]:(m2_relset_1(X3,X1,X2)<=>m1_relset_1(X3,X1,X2)),file('/tmp/SRASS.s.p', redefinition_m2_relset_1)).
% fof(44, 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(54, 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(79, 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),k4_autgroup(X1))=>![X3]:(m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))=>k1_binop_1(k2_autgroup(X1),X2,X3)=k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X3,X2)))),file('/tmp/SRASS.s.p', t15_autgroup)).
% fof(80, 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),k4_autgroup(X1))=>![X3]:(m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))=>k1_binop_1(k2_autgroup(X1),X2,X3)=k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X3,X2))))),inference(assume_negation,[status(cth)],[79])).
% fof(82, 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),k4_autgroup(X1))=>m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)))),inference(fof_simplification,[status(thm)],[4,theory(equality)])).
% fof(85, 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)],[7,theory(equality)])).
% fof(87, 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,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1)))&m2_relset_1(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1)))=>(X2=k2_autgroup(X1)<=>![X3]:(m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))=>![X4]:(m2_fraenkel(X4,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))=>k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),X2,X3,X4)=k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X4,X3)))))),inference(fof_simplification,[status(thm)],[10,theory(equality)])).
% fof(88, plain,![X1]:(((((~(v3_struct_0(X1))&v1_group_1(X1))&v3_group_1(X1))&v4_group_1(X1))&l1_group_1(X1))=>((v1_funct_1(k2_autgroup(X1))&v1_funct_2(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1)))&m2_relset_1(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1)))),inference(fof_simplification,[status(thm)],[12,theory(equality)])).
% fof(89, 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(99, plain,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:(((((((~(v1_xboole_0(X1))&~(v1_xboole_0(X2)))&v1_funct_1(X4))&v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3))&m1_relset_1(X4,k2_zfmisc_1(X1,X2),X3))&m1_subset_1(X5,X1))&m1_subset_1(X6,X2))=>k2_binop_1(X1,X2,X3,X4,X5,X6)=k1_binop_1(X4,X5,X6)),inference(fof_simplification,[status(thm)],[37,theory(equality)])).
% fof(103, 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)],[44,theory(equality)])).
% fof(104, plain,![X1]:![X2]:![X3]:(m1_fraenkel(X3,X1,X2)=>(~(v1_xboole_0(X3))&v1_fraenkel(X3))),inference(fof_simplification,[status(thm)],[54,theory(equality)])).
% fof(106, 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),k4_autgroup(X1))=>![X3]:(m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))=>k1_binop_1(k2_autgroup(X1),X2,X3)=k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X3,X2))))),inference(fof_simplification,[status(thm)],[80,theory(equality)])).
% fof(119, 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),k4_autgroup(X1)))|m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)))),inference(fof_nnf,[status(thm)],[82])).
% fof(120, 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),k4_autgroup(X3)))|m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k1_autgroup(X3)))),inference(variable_rename,[status(thm)],[119])).
% fof(121, plain,![X3]:![X4]:((~(m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k4_autgroup(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(shift_quantors,[status(thm)],[120])).
% cnf(122,plain,(v3_struct_0(X1)|m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(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),k4_autgroup(X1))),inference(split_conjunct,[status(thm)],[121])).
% fof(134, 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)],[85])).
% fof(135, 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)],[134])).
% cnf(136,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)],[135])).
% fof(145, 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,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))))|~(m2_relset_1(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))))|((~(X2=k2_autgroup(X1))|![X3]:(~(m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)))|![X4]:(~(m2_fraenkel(X4,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)))|k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),X2,X3,X4)=k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X4,X3))))&(?[X3]:(m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))&?[X4]:(m2_fraenkel(X4,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))&~(k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),X2,X3,X4)=k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X4,X3))))|X2=k2_autgroup(X1))))),inference(fof_nnf,[status(thm)],[87])).
% fof(146, plain,![X5]:(((((v3_struct_0(X5)|~(v1_group_1(X5)))|~(v3_group_1(X5)))|~(v4_group_1(X5)))|~(l1_group_1(X5)))|![X6]:(((~(v1_funct_1(X6))|~(v1_funct_2(X6,k2_zfmisc_1(k1_autgroup(X5),k1_autgroup(X5)),k1_autgroup(X5))))|~(m2_relset_1(X6,k2_zfmisc_1(k1_autgroup(X5),k1_autgroup(X5)),k1_autgroup(X5))))|((~(X6=k2_autgroup(X5))|![X7]:(~(m2_fraenkel(X7,u1_struct_0(X5),u1_struct_0(X5),k1_autgroup(X5)))|![X8]:(~(m2_fraenkel(X8,u1_struct_0(X5),u1_struct_0(X5),k1_autgroup(X5)))|k2_binop_1(k1_autgroup(X5),k1_autgroup(X5),k1_autgroup(X5),X6,X7,X8)=k7_funct_2(u1_struct_0(X5),u1_struct_0(X5),u1_struct_0(X5),X8,X7))))&(?[X9]:(m2_fraenkel(X9,u1_struct_0(X5),u1_struct_0(X5),k1_autgroup(X5))&?[X10]:(m2_fraenkel(X10,u1_struct_0(X5),u1_struct_0(X5),k1_autgroup(X5))&~(k2_binop_1(k1_autgroup(X5),k1_autgroup(X5),k1_autgroup(X5),X6,X9,X10)=k7_funct_2(u1_struct_0(X5),u1_struct_0(X5),u1_struct_0(X5),X10,X9))))|X6=k2_autgroup(X5))))),inference(variable_rename,[status(thm)],[145])).
% fof(147, plain,![X5]:(((((v3_struct_0(X5)|~(v1_group_1(X5)))|~(v3_group_1(X5)))|~(v4_group_1(X5)))|~(l1_group_1(X5)))|![X6]:(((~(v1_funct_1(X6))|~(v1_funct_2(X6,k2_zfmisc_1(k1_autgroup(X5),k1_autgroup(X5)),k1_autgroup(X5))))|~(m2_relset_1(X6,k2_zfmisc_1(k1_autgroup(X5),k1_autgroup(X5)),k1_autgroup(X5))))|((~(X6=k2_autgroup(X5))|![X7]:(~(m2_fraenkel(X7,u1_struct_0(X5),u1_struct_0(X5),k1_autgroup(X5)))|![X8]:(~(m2_fraenkel(X8,u1_struct_0(X5),u1_struct_0(X5),k1_autgroup(X5)))|k2_binop_1(k1_autgroup(X5),k1_autgroup(X5),k1_autgroup(X5),X6,X7,X8)=k7_funct_2(u1_struct_0(X5),u1_struct_0(X5),u1_struct_0(X5),X8,X7))))&((m2_fraenkel(esk5_2(X5,X6),u1_struct_0(X5),u1_struct_0(X5),k1_autgroup(X5))&(m2_fraenkel(esk6_2(X5,X6),u1_struct_0(X5),u1_struct_0(X5),k1_autgroup(X5))&~(k2_binop_1(k1_autgroup(X5),k1_autgroup(X5),k1_autgroup(X5),X6,esk5_2(X5,X6),esk6_2(X5,X6))=k7_funct_2(u1_struct_0(X5),u1_struct_0(X5),u1_struct_0(X5),esk6_2(X5,X6),esk5_2(X5,X6)))))|X6=k2_autgroup(X5))))),inference(skolemize,[status(esa)],[146])).
% fof(148, plain,![X5]:![X6]:![X7]:![X8]:((((((~(m2_fraenkel(X8,u1_struct_0(X5),u1_struct_0(X5),k1_autgroup(X5)))|k2_binop_1(k1_autgroup(X5),k1_autgroup(X5),k1_autgroup(X5),X6,X7,X8)=k7_funct_2(u1_struct_0(X5),u1_struct_0(X5),u1_struct_0(X5),X8,X7))|~(m2_fraenkel(X7,u1_struct_0(X5),u1_struct_0(X5),k1_autgroup(X5))))|~(X6=k2_autgroup(X5)))&((m2_fraenkel(esk5_2(X5,X6),u1_struct_0(X5),u1_struct_0(X5),k1_autgroup(X5))&(m2_fraenkel(esk6_2(X5,X6),u1_struct_0(X5),u1_struct_0(X5),k1_autgroup(X5))&~(k2_binop_1(k1_autgroup(X5),k1_autgroup(X5),k1_autgroup(X5),X6,esk5_2(X5,X6),esk6_2(X5,X6))=k7_funct_2(u1_struct_0(X5),u1_struct_0(X5),u1_struct_0(X5),esk6_2(X5,X6),esk5_2(X5,X6)))))|X6=k2_autgroup(X5)))|((~(v1_funct_1(X6))|~(v1_funct_2(X6,k2_zfmisc_1(k1_autgroup(X5),k1_autgroup(X5)),k1_autgroup(X5))))|~(m2_relset_1(X6,k2_zfmisc_1(k1_autgroup(X5),k1_autgroup(X5)),k1_autgroup(X5)))))|((((v3_struct_0(X5)|~(v1_group_1(X5)))|~(v3_group_1(X5)))|~(v4_group_1(X5)))|~(l1_group_1(X5)))),inference(shift_quantors,[status(thm)],[147])).
% fof(149, plain,![X5]:![X6]:![X7]:![X8]:((((((~(m2_fraenkel(X8,u1_struct_0(X5),u1_struct_0(X5),k1_autgroup(X5)))|k2_binop_1(k1_autgroup(X5),k1_autgroup(X5),k1_autgroup(X5),X6,X7,X8)=k7_funct_2(u1_struct_0(X5),u1_struct_0(X5),u1_struct_0(X5),X8,X7))|~(m2_fraenkel(X7,u1_struct_0(X5),u1_struct_0(X5),k1_autgroup(X5))))|~(X6=k2_autgroup(X5)))|((~(v1_funct_1(X6))|~(v1_funct_2(X6,k2_zfmisc_1(k1_autgroup(X5),k1_autgroup(X5)),k1_autgroup(X5))))|~(m2_relset_1(X6,k2_zfmisc_1(k1_autgroup(X5),k1_autgroup(X5)),k1_autgroup(X5)))))|((((v3_struct_0(X5)|~(v1_group_1(X5)))|~(v3_group_1(X5)))|~(v4_group_1(X5)))|~(l1_group_1(X5))))&((((m2_fraenkel(esk5_2(X5,X6),u1_struct_0(X5),u1_struct_0(X5),k1_autgroup(X5))|X6=k2_autgroup(X5))|((~(v1_funct_1(X6))|~(v1_funct_2(X6,k2_zfmisc_1(k1_autgroup(X5),k1_autgroup(X5)),k1_autgroup(X5))))|~(m2_relset_1(X6,k2_zfmisc_1(k1_autgroup(X5),k1_autgroup(X5)),k1_autgroup(X5)))))|((((v3_struct_0(X5)|~(v1_group_1(X5)))|~(v3_group_1(X5)))|~(v4_group_1(X5)))|~(l1_group_1(X5))))&((((m2_fraenkel(esk6_2(X5,X6),u1_struct_0(X5),u1_struct_0(X5),k1_autgroup(X5))|X6=k2_autgroup(X5))|((~(v1_funct_1(X6))|~(v1_funct_2(X6,k2_zfmisc_1(k1_autgroup(X5),k1_autgroup(X5)),k1_autgroup(X5))))|~(m2_relset_1(X6,k2_zfmisc_1(k1_autgroup(X5),k1_autgroup(X5)),k1_autgroup(X5)))))|((((v3_struct_0(X5)|~(v1_group_1(X5)))|~(v3_group_1(X5)))|~(v4_group_1(X5)))|~(l1_group_1(X5))))&(((~(k2_binop_1(k1_autgroup(X5),k1_autgroup(X5),k1_autgroup(X5),X6,esk5_2(X5,X6),esk6_2(X5,X6))=k7_funct_2(u1_struct_0(X5),u1_struct_0(X5),u1_struct_0(X5),esk6_2(X5,X6),esk5_2(X5,X6)))|X6=k2_autgroup(X5))|((~(v1_funct_1(X6))|~(v1_funct_2(X6,k2_zfmisc_1(k1_autgroup(X5),k1_autgroup(X5)),k1_autgroup(X5))))|~(m2_relset_1(X6,k2_zfmisc_1(k1_autgroup(X5),k1_autgroup(X5)),k1_autgroup(X5)))))|((((v3_struct_0(X5)|~(v1_group_1(X5)))|~(v3_group_1(X5)))|~(v4_group_1(X5)))|~(l1_group_1(X5))))))),inference(distribute,[status(thm)],[148])).
% cnf(153,plain,(v3_struct_0(X1)|k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),X2,X3,X4)=k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X4,X3)|~l1_group_1(X1)|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~m2_relset_1(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))|~v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))|~v1_funct_1(X2)|X2!=k2_autgroup(X1)|~m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))|~m2_fraenkel(X4,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))),inference(split_conjunct,[status(thm)],[149])).
% fof(157, plain,![X1]:(((((v3_struct_0(X1)|~(v1_group_1(X1)))|~(v3_group_1(X1)))|~(v4_group_1(X1)))|~(l1_group_1(X1)))|((v1_funct_1(k2_autgroup(X1))&v1_funct_2(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1)))&m2_relset_1(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1)))),inference(fof_nnf,[status(thm)],[88])).
% fof(158, plain,![X2]:(((((v3_struct_0(X2)|~(v1_group_1(X2)))|~(v3_group_1(X2)))|~(v4_group_1(X2)))|~(l1_group_1(X2)))|((v1_funct_1(k2_autgroup(X2))&v1_funct_2(k2_autgroup(X2),k2_zfmisc_1(k1_autgroup(X2),k1_autgroup(X2)),k1_autgroup(X2)))&m2_relset_1(k2_autgroup(X2),k2_zfmisc_1(k1_autgroup(X2),k1_autgroup(X2)),k1_autgroup(X2)))),inference(variable_rename,[status(thm)],[157])).
% fof(159, plain,![X2]:(((v1_funct_1(k2_autgroup(X2))|((((v3_struct_0(X2)|~(v1_group_1(X2)))|~(v3_group_1(X2)))|~(v4_group_1(X2)))|~(l1_group_1(X2))))&(v1_funct_2(k2_autgroup(X2),k2_zfmisc_1(k1_autgroup(X2),k1_autgroup(X2)),k1_autgroup(X2))|((((v3_struct_0(X2)|~(v1_group_1(X2)))|~(v3_group_1(X2)))|~(v4_group_1(X2)))|~(l1_group_1(X2)))))&(m2_relset_1(k2_autgroup(X2),k2_zfmisc_1(k1_autgroup(X2),k1_autgroup(X2)),k1_autgroup(X2))|((((v3_struct_0(X2)|~(v1_group_1(X2)))|~(v3_group_1(X2)))|~(v4_group_1(X2)))|~(l1_group_1(X2))))),inference(distribute,[status(thm)],[158])).
% cnf(160,plain,(v3_struct_0(X1)|m2_relset_1(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))|~l1_group_1(X1)|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)),inference(split_conjunct,[status(thm)],[159])).
% cnf(161,plain,(v3_struct_0(X1)|v1_funct_2(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))|~l1_group_1(X1)|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)),inference(split_conjunct,[status(thm)],[159])).
% cnf(162,plain,(v3_struct_0(X1)|v1_funct_1(k2_autgroup(X1))|~l1_group_1(X1)|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)),inference(split_conjunct,[status(thm)],[159])).
% fof(163, plain,![X1]:((v3_struct_0(X1)|~(l1_struct_0(X1)))|~(v1_xboole_0(u1_struct_0(X1)))),inference(fof_nnf,[status(thm)],[89])).
% fof(164, plain,![X2]:((v3_struct_0(X2)|~(l1_struct_0(X2)))|~(v1_xboole_0(u1_struct_0(X2)))),inference(variable_rename,[status(thm)],[163])).
% cnf(165,plain,(v3_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))|~l1_struct_0(X1)),inference(split_conjunct,[status(thm)],[164])).
% fof(183, plain,![X1]:(~(l1_group_1(X1))|l1_struct_0(X1)),inference(fof_nnf,[status(thm)],[20])).
% fof(184, plain,![X2]:(~(l1_group_1(X2))|l1_struct_0(X2)),inference(variable_rename,[status(thm)],[183])).
% cnf(185,plain,(l1_struct_0(X1)|~l1_group_1(X1)),inference(split_conjunct,[status(thm)],[184])).
% fof(255, plain,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:(((((((v1_xboole_0(X1)|v1_xboole_0(X2))|~(v1_funct_1(X4)))|~(v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)))|~(m1_relset_1(X4,k2_zfmisc_1(X1,X2),X3)))|~(m1_subset_1(X5,X1)))|~(m1_subset_1(X6,X2)))|k2_binop_1(X1,X2,X3,X4,X5,X6)=k1_binop_1(X4,X5,X6)),inference(fof_nnf,[status(thm)],[99])).
% fof(256, plain,![X7]:![X8]:![X9]:![X10]:![X11]:![X12]:(((((((v1_xboole_0(X7)|v1_xboole_0(X8))|~(v1_funct_1(X10)))|~(v1_funct_2(X10,k2_zfmisc_1(X7,X8),X9)))|~(m1_relset_1(X10,k2_zfmisc_1(X7,X8),X9)))|~(m1_subset_1(X11,X7)))|~(m1_subset_1(X12,X8)))|k2_binop_1(X7,X8,X9,X10,X11,X12)=k1_binop_1(X10,X11,X12)),inference(variable_rename,[status(thm)],[255])).
% cnf(257,plain,(k2_binop_1(X1,X2,X3,X4,X5,X6)=k1_binop_1(X4,X5,X6)|v1_xboole_0(X2)|v1_xboole_0(X1)|~m1_subset_1(X6,X2)|~m1_subset_1(X5,X1)|~m1_relset_1(X4,k2_zfmisc_1(X1,X2),X3)|~v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)|~v1_funct_1(X4)),inference(split_conjunct,[status(thm)],[256])).
% fof(258, plain,![X1]:![X2]:![X3]:((~(m2_relset_1(X3,X1,X2))|m1_relset_1(X3,X1,X2))&(~(m1_relset_1(X3,X1,X2))|m2_relset_1(X3,X1,X2))),inference(fof_nnf,[status(thm)],[38])).
% fof(259, plain,![X4]:![X5]:![X6]:((~(m2_relset_1(X6,X4,X5))|m1_relset_1(X6,X4,X5))&(~(m1_relset_1(X6,X4,X5))|m2_relset_1(X6,X4,X5))),inference(variable_rename,[status(thm)],[258])).
% cnf(260,plain,(m2_relset_1(X1,X2,X3)|~m1_relset_1(X1,X2,X3)),inference(split_conjunct,[status(thm)],[259])).
% cnf(261,plain,(m1_relset_1(X1,X2,X3)|~m2_relset_1(X1,X2,X3)),inference(split_conjunct,[status(thm)],[259])).
% fof(286, 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)],[103])).
% fof(287, 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)],[286])).
% fof(288, 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)],[287])).
% fof(289, 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)],[288])).
% cnf(290,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)],[289])).
% cnf(291,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)],[289])).
% fof(328, plain,![X1]:![X2]:![X3]:(~(m1_fraenkel(X3,X1,X2))|(~(v1_xboole_0(X3))&v1_fraenkel(X3))),inference(fof_nnf,[status(thm)],[104])).
% fof(329, plain,![X4]:![X5]:![X6]:(~(m1_fraenkel(X6,X4,X5))|(~(v1_xboole_0(X6))&v1_fraenkel(X6))),inference(variable_rename,[status(thm)],[328])).
% fof(330, 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)],[329])).
% cnf(332,plain,(~m1_fraenkel(X1,X2,X3)|~v1_xboole_0(X1)),inference(split_conjunct,[status(thm)],[330])).
% fof(395, 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),k4_autgroup(X1))&?[X3]:(m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))&~(k1_binop_1(k2_autgroup(X1),X2,X3)=k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X3,X2))))),inference(fof_nnf,[status(thm)],[106])).
% fof(396, negated_conjecture,?[X4]:(((((~(v3_struct_0(X4))&v1_group_1(X4))&v3_group_1(X4))&v4_group_1(X4))&l1_group_1(X4))&?[X5]:(m2_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4),k4_autgroup(X4))&?[X6]:(m2_fraenkel(X6,u1_struct_0(X4),u1_struct_0(X4),k4_autgroup(X4))&~(k1_binop_1(k2_autgroup(X4),X5,X6)=k7_funct_2(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X4),X6,X5))))),inference(variable_rename,[status(thm)],[395])).
% fof(397, negated_conjecture,(((((~(v3_struct_0(esk24_0))&v1_group_1(esk24_0))&v3_group_1(esk24_0))&v4_group_1(esk24_0))&l1_group_1(esk24_0))&(m2_fraenkel(esk25_0,u1_struct_0(esk24_0),u1_struct_0(esk24_0),k4_autgroup(esk24_0))&(m2_fraenkel(esk26_0,u1_struct_0(esk24_0),u1_struct_0(esk24_0),k4_autgroup(esk24_0))&~(k1_binop_1(k2_autgroup(esk24_0),esk25_0,esk26_0)=k7_funct_2(u1_struct_0(esk24_0),u1_struct_0(esk24_0),u1_struct_0(esk24_0),esk26_0,esk25_0))))),inference(skolemize,[status(esa)],[396])).
% cnf(398,negated_conjecture,(k1_binop_1(k2_autgroup(esk24_0),esk25_0,esk26_0)!=k7_funct_2(u1_struct_0(esk24_0),u1_struct_0(esk24_0),u1_struct_0(esk24_0),esk26_0,esk25_0)),inference(split_conjunct,[status(thm)],[397])).
% cnf(399,negated_conjecture,(m2_fraenkel(esk26_0,u1_struct_0(esk24_0),u1_struct_0(esk24_0),k4_autgroup(esk24_0))),inference(split_conjunct,[status(thm)],[397])).
% cnf(400,negated_conjecture,(m2_fraenkel(esk25_0,u1_struct_0(esk24_0),u1_struct_0(esk24_0),k4_autgroup(esk24_0))),inference(split_conjunct,[status(thm)],[397])).
% cnf(401,negated_conjecture,(l1_group_1(esk24_0)),inference(split_conjunct,[status(thm)],[397])).
% cnf(402,negated_conjecture,(v4_group_1(esk24_0)),inference(split_conjunct,[status(thm)],[397])).
% cnf(403,negated_conjecture,(v3_group_1(esk24_0)),inference(split_conjunct,[status(thm)],[397])).
% cnf(404,negated_conjecture,(v1_group_1(esk24_0)),inference(split_conjunct,[status(thm)],[397])).
% cnf(405,negated_conjecture,(~v3_struct_0(esk24_0)),inference(split_conjunct,[status(thm)],[397])).
% cnf(418,plain,(v3_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))|~l1_group_1(X1)),inference(spm,[status(thm)],[165,185,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)],[332,136,theory(equality)])).
% cnf(467,plain,(v1_xboole_0(u1_struct_0(X1))|m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))|v3_struct_0(X1)|~m1_subset_1(X2,k1_autgroup(X1))|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~l1_group_1(X1)),inference(spm,[status(thm)],[290,136,theory(equality)])).
% cnf(504,negated_conjecture,(m2_fraenkel(esk26_0,u1_struct_0(esk24_0),u1_struct_0(esk24_0),k1_autgroup(esk24_0))|v3_struct_0(esk24_0)|~v4_group_1(esk24_0)|~v3_group_1(esk24_0)|~v1_group_1(esk24_0)|~l1_group_1(esk24_0)),inference(spm,[status(thm)],[122,399,theory(equality)])).
% cnf(505,negated_conjecture,(m2_fraenkel(esk25_0,u1_struct_0(esk24_0),u1_struct_0(esk24_0),k1_autgroup(esk24_0))|v3_struct_0(esk24_0)|~v4_group_1(esk24_0)|~v3_group_1(esk24_0)|~v1_group_1(esk24_0)|~l1_group_1(esk24_0)),inference(spm,[status(thm)],[122,400,theory(equality)])).
% cnf(507,negated_conjecture,(m2_fraenkel(esk26_0,u1_struct_0(esk24_0),u1_struct_0(esk24_0),k1_autgroup(esk24_0))|v3_struct_0(esk24_0)|$false|~v3_group_1(esk24_0)|~v1_group_1(esk24_0)|~l1_group_1(esk24_0)),inference(rw,[status(thm)],[504,402,theory(equality)])).
% cnf(508,negated_conjecture,(m2_fraenkel(esk26_0,u1_struct_0(esk24_0),u1_struct_0(esk24_0),k1_autgroup(esk24_0))|v3_struct_0(esk24_0)|$false|$false|~v1_group_1(esk24_0)|~l1_group_1(esk24_0)),inference(rw,[status(thm)],[507,403,theory(equality)])).
% cnf(509,negated_conjecture,(m2_fraenkel(esk26_0,u1_struct_0(esk24_0),u1_struct_0(esk24_0),k1_autgroup(esk24_0))|v3_struct_0(esk24_0)|$false|$false|$false|~l1_group_1(esk24_0)),inference(rw,[status(thm)],[508,404,theory(equality)])).
% cnf(510,negated_conjecture,(m2_fraenkel(esk26_0,u1_struct_0(esk24_0),u1_struct_0(esk24_0),k1_autgroup(esk24_0))|v3_struct_0(esk24_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[509,401,theory(equality)])).
% cnf(511,negated_conjecture,(m2_fraenkel(esk26_0,u1_struct_0(esk24_0),u1_struct_0(esk24_0),k1_autgroup(esk24_0))|v3_struct_0(esk24_0)),inference(cn,[status(thm)],[510,theory(equality)])).
% cnf(512,negated_conjecture,(m2_fraenkel(esk26_0,u1_struct_0(esk24_0),u1_struct_0(esk24_0),k1_autgroup(esk24_0))),inference(sr,[status(thm)],[511,405,theory(equality)])).
% cnf(513,negated_conjecture,(m2_fraenkel(esk25_0,u1_struct_0(esk24_0),u1_struct_0(esk24_0),k1_autgroup(esk24_0))|v3_struct_0(esk24_0)|$false|~v3_group_1(esk24_0)|~v1_group_1(esk24_0)|~l1_group_1(esk24_0)),inference(rw,[status(thm)],[505,402,theory(equality)])).
% cnf(514,negated_conjecture,(m2_fraenkel(esk25_0,u1_struct_0(esk24_0),u1_struct_0(esk24_0),k1_autgroup(esk24_0))|v3_struct_0(esk24_0)|$false|$false|~v1_group_1(esk24_0)|~l1_group_1(esk24_0)),inference(rw,[status(thm)],[513,403,theory(equality)])).
% cnf(515,negated_conjecture,(m2_fraenkel(esk25_0,u1_struct_0(esk24_0),u1_struct_0(esk24_0),k1_autgroup(esk24_0))|v3_struct_0(esk24_0)|$false|$false|$false|~l1_group_1(esk24_0)),inference(rw,[status(thm)],[514,404,theory(equality)])).
% cnf(516,negated_conjecture,(m2_fraenkel(esk25_0,u1_struct_0(esk24_0),u1_struct_0(esk24_0),k1_autgroup(esk24_0))|v3_struct_0(esk24_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[515,401,theory(equality)])).
% cnf(517,negated_conjecture,(m2_fraenkel(esk25_0,u1_struct_0(esk24_0),u1_struct_0(esk24_0),k1_autgroup(esk24_0))|v3_struct_0(esk24_0)),inference(cn,[status(thm)],[516,theory(equality)])).
% cnf(518,negated_conjecture,(m2_fraenkel(esk25_0,u1_struct_0(esk24_0),u1_struct_0(esk24_0),k1_autgroup(esk24_0))),inference(sr,[status(thm)],[517,405,theory(equality)])).
% cnf(519,plain,(m1_relset_1(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))|v3_struct_0(X1)|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~l1_group_1(X1)),inference(spm,[status(thm)],[261,160,theory(equality)])).
% cnf(573,plain,(k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X4,X3)=k1_binop_1(X2,X3,X4)|v1_xboole_0(k1_autgroup(X1))|v3_struct_0(X1)|~m1_subset_1(X4,k1_autgroup(X1))|~m1_subset_1(X3,k1_autgroup(X1))|~m1_relset_1(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))|~v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))|~v1_funct_1(X2)|k2_autgroup(X1)!=X2|~m2_relset_1(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))|~m2_fraenkel(X4,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))|~m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~l1_group_1(X1)),inference(spm,[status(thm)],[257,153,theory(equality)])).
% cnf(579,negated_conjecture,(m1_subset_1(esk26_0,k1_autgroup(esk24_0))|v1_xboole_0(u1_struct_0(esk24_0))|~m1_fraenkel(k1_autgroup(esk24_0),u1_struct_0(esk24_0),u1_struct_0(esk24_0))),inference(spm,[status(thm)],[291,512,theory(equality)])).
% cnf(583,negated_conjecture,(m1_subset_1(esk25_0,k1_autgroup(esk24_0))|v1_xboole_0(u1_struct_0(esk24_0))|~m1_fraenkel(k1_autgroup(esk24_0),u1_struct_0(esk24_0),u1_struct_0(esk24_0))),inference(spm,[status(thm)],[291,518,theory(equality)])).
% cnf(588,negated_conjecture,(~v1_xboole_0(u1_struct_0(esk24_0))|~l1_group_1(esk24_0)),inference(spm,[status(thm)],[405,418,theory(equality)])).
% cnf(592,negated_conjecture,(~v1_xboole_0(u1_struct_0(esk24_0))|$false),inference(rw,[status(thm)],[588,401,theory(equality)])).
% cnf(593,negated_conjecture,(~v1_xboole_0(u1_struct_0(esk24_0))),inference(cn,[status(thm)],[592,theory(equality)])).
% cnf(712,negated_conjecture,(m1_subset_1(esk26_0,k1_autgroup(esk24_0))|~m1_fraenkel(k1_autgroup(esk24_0),u1_struct_0(esk24_0),u1_struct_0(esk24_0))),inference(sr,[status(thm)],[579,593,theory(equality)])).
% cnf(713,negated_conjecture,(m1_subset_1(esk26_0,k1_autgroup(esk24_0))|v3_struct_0(esk24_0)|~v4_group_1(esk24_0)|~v3_group_1(esk24_0)|~v1_group_1(esk24_0)|~l1_group_1(esk24_0)),inference(spm,[status(thm)],[712,136,theory(equality)])).
% cnf(714,negated_conjecture,(m1_subset_1(esk26_0,k1_autgroup(esk24_0))|v3_struct_0(esk24_0)|$false|~v3_group_1(esk24_0)|~v1_group_1(esk24_0)|~l1_group_1(esk24_0)),inference(rw,[status(thm)],[713,402,theory(equality)])).
% cnf(715,negated_conjecture,(m1_subset_1(esk26_0,k1_autgroup(esk24_0))|v3_struct_0(esk24_0)|$false|$false|~v1_group_1(esk24_0)|~l1_group_1(esk24_0)),inference(rw,[status(thm)],[714,403,theory(equality)])).
% cnf(716,negated_conjecture,(m1_subset_1(esk26_0,k1_autgroup(esk24_0))|v3_struct_0(esk24_0)|$false|$false|$false|~l1_group_1(esk24_0)),inference(rw,[status(thm)],[715,404,theory(equality)])).
% cnf(717,negated_conjecture,(m1_subset_1(esk26_0,k1_autgroup(esk24_0))|v3_struct_0(esk24_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[716,401,theory(equality)])).
% cnf(718,negated_conjecture,(m1_subset_1(esk26_0,k1_autgroup(esk24_0))|v3_struct_0(esk24_0)),inference(cn,[status(thm)],[717,theory(equality)])).
% cnf(719,negated_conjecture,(m1_subset_1(esk26_0,k1_autgroup(esk24_0))),inference(sr,[status(thm)],[718,405,theory(equality)])).
% cnf(725,negated_conjecture,(m1_subset_1(esk25_0,k1_autgroup(esk24_0))|~m1_fraenkel(k1_autgroup(esk24_0),u1_struct_0(esk24_0),u1_struct_0(esk24_0))),inference(sr,[status(thm)],[583,593,theory(equality)])).
% cnf(726,negated_conjecture,(m1_subset_1(esk25_0,k1_autgroup(esk24_0))|v3_struct_0(esk24_0)|~v4_group_1(esk24_0)|~v3_group_1(esk24_0)|~v1_group_1(esk24_0)|~l1_group_1(esk24_0)),inference(spm,[status(thm)],[725,136,theory(equality)])).
% cnf(727,negated_conjecture,(m1_subset_1(esk25_0,k1_autgroup(esk24_0))|v3_struct_0(esk24_0)|$false|~v3_group_1(esk24_0)|~v1_group_1(esk24_0)|~l1_group_1(esk24_0)),inference(rw,[status(thm)],[726,402,theory(equality)])).
% cnf(728,negated_conjecture,(m1_subset_1(esk25_0,k1_autgroup(esk24_0))|v3_struct_0(esk24_0)|$false|$false|~v1_group_1(esk24_0)|~l1_group_1(esk24_0)),inference(rw,[status(thm)],[727,403,theory(equality)])).
% cnf(729,negated_conjecture,(m1_subset_1(esk25_0,k1_autgroup(esk24_0))|v3_struct_0(esk24_0)|$false|$false|$false|~l1_group_1(esk24_0)),inference(rw,[status(thm)],[728,404,theory(equality)])).
% cnf(730,negated_conjecture,(m1_subset_1(esk25_0,k1_autgroup(esk24_0))|v3_struct_0(esk24_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[729,401,theory(equality)])).
% cnf(731,negated_conjecture,(m1_subset_1(esk25_0,k1_autgroup(esk24_0))|v3_struct_0(esk24_0)),inference(cn,[status(thm)],[730,theory(equality)])).
% cnf(732,negated_conjecture,(m1_subset_1(esk25_0,k1_autgroup(esk24_0))),inference(sr,[status(thm)],[731,405,theory(equality)])).
% cnf(886,plain,(m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))|v3_struct_0(X1)|~m1_subset_1(X2,k1_autgroup(X1))|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~l1_group_1(X1)),inference(csr,[status(thm)],[467,418])).
% cnf(3703,plain,(k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X4,X3)=k1_binop_1(X2,X3,X4)|v1_xboole_0(k1_autgroup(X1))|v3_struct_0(X1)|k2_autgroup(X1)!=X2|~m1_subset_1(X4,k1_autgroup(X1))|~m1_subset_1(X3,k1_autgroup(X1))|~m1_relset_1(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))|~m2_relset_1(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))|~v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))|~v1_funct_1(X2)|~m2_fraenkel(X4,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~l1_group_1(X1)),inference(csr,[status(thm)],[573,886])).
% cnf(3704,plain,(k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X4,X3)=k1_binop_1(X2,X3,X4)|v1_xboole_0(k1_autgroup(X1))|v3_struct_0(X1)|k2_autgroup(X1)!=X2|~m1_subset_1(X4,k1_autgroup(X1))|~m1_subset_1(X3,k1_autgroup(X1))|~m1_relset_1(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))|~m2_relset_1(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))|~v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))|~v1_funct_1(X2)|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~l1_group_1(X1)),inference(csr,[status(thm)],[3703,886])).
% cnf(3705,plain,(k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X4,X3)=k1_binop_1(X2,X3,X4)|v1_xboole_0(k1_autgroup(X1))|v3_struct_0(X1)|k2_autgroup(X1)!=X2|~m1_subset_1(X4,k1_autgroup(X1))|~m1_subset_1(X3,k1_autgroup(X1))|~m1_relset_1(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))|~v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))|~v1_funct_1(X2)|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~l1_group_1(X1)),inference(csr,[status(thm)],[3704,260])).
% cnf(3706,plain,(k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X4,X3)=k1_binop_1(X2,X3,X4)|v3_struct_0(X1)|k2_autgroup(X1)!=X2|~m1_subset_1(X4,k1_autgroup(X1))|~m1_subset_1(X3,k1_autgroup(X1))|~m1_relset_1(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))|~v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))|~v1_funct_1(X2)|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~l1_group_1(X1)),inference(csr,[status(thm)],[3705,461])).
% cnf(3719,plain,(k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X2,X3)=k1_binop_1(k2_autgroup(X1),X3,X2)|v3_struct_0(X1)|~m1_subset_1(X2,k1_autgroup(X1))|~m1_subset_1(X3,k1_autgroup(X1))|~v1_funct_2(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))|~v1_funct_1(k2_autgroup(X1))|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~l1_group_1(X1)),inference(spm,[status(thm)],[3706,519,theory(equality)])).
% cnf(56927,plain,(k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X2,X3)=k1_binop_1(k2_autgroup(X1),X3,X2)|v3_struct_0(X1)|~m1_subset_1(X2,k1_autgroup(X1))|~m1_subset_1(X3,k1_autgroup(X1))|~v1_funct_2(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~l1_group_1(X1)),inference(csr,[status(thm)],[3719,162])).
% cnf(56928,plain,(k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X2,X3)=k1_binop_1(k2_autgroup(X1),X3,X2)|v3_struct_0(X1)|~m1_subset_1(X2,k1_autgroup(X1))|~m1_subset_1(X3,k1_autgroup(X1))|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~l1_group_1(X1)),inference(csr,[status(thm)],[56927,161])).
% cnf(56931,negated_conjecture,(v3_struct_0(esk24_0)|~m1_subset_1(esk26_0,k1_autgroup(esk24_0))|~m1_subset_1(esk25_0,k1_autgroup(esk24_0))|~v4_group_1(esk24_0)|~v3_group_1(esk24_0)|~v1_group_1(esk24_0)|~l1_group_1(esk24_0)),inference(spm,[status(thm)],[398,56928,theory(equality)])).
% cnf(56963,negated_conjecture,(v3_struct_0(esk24_0)|$false|~m1_subset_1(esk25_0,k1_autgroup(esk24_0))|~v4_group_1(esk24_0)|~v3_group_1(esk24_0)|~v1_group_1(esk24_0)|~l1_group_1(esk24_0)),inference(rw,[status(thm)],[56931,719,theory(equality)])).
% cnf(56964,negated_conjecture,(v3_struct_0(esk24_0)|$false|$false|~v4_group_1(esk24_0)|~v3_group_1(esk24_0)|~v1_group_1(esk24_0)|~l1_group_1(esk24_0)),inference(rw,[status(thm)],[56963,732,theory(equality)])).
% cnf(56965,negated_conjecture,(v3_struct_0(esk24_0)|$false|$false|$false|~v3_group_1(esk24_0)|~v1_group_1(esk24_0)|~l1_group_1(esk24_0)),inference(rw,[status(thm)],[56964,402,theory(equality)])).
% cnf(56966,negated_conjecture,(v3_struct_0(esk24_0)|$false|$false|$false|$false|~v1_group_1(esk24_0)|~l1_group_1(esk24_0)),inference(rw,[status(thm)],[56965,403,theory(equality)])).
% cnf(56967,negated_conjecture,(v3_struct_0(esk24_0)|$false|$false|$false|$false|$false|~l1_group_1(esk24_0)),inference(rw,[status(thm)],[56966,404,theory(equality)])).
% cnf(56968,negated_conjecture,(v3_struct_0(esk24_0)|$false|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[56967,401,theory(equality)])).
% cnf(56969,negated_conjecture,(v3_struct_0(esk24_0)),inference(cn,[status(thm)],[56968,theory(equality)])).
% cnf(56970,negated_conjecture,($false),inference(sr,[status(thm)],[56969,405,theory(equality)])).
% cnf(56971,negated_conjecture,($false),56970,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 14056
% # ...of these trivial : 12
% # ...subsumed : 11669
% # ...remaining for further processing: 2375
% # Other redundant clauses eliminated : 2
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 195
% # Backward-rewritten : 42
% # Generated clauses : 34642
% # ...of the previous two non-trivial : 33327
% # Contextual simplify-reflections : 13312
% # Paramodulations : 34499
% # Factorizations : 0
% # Equation resolutions : 23
% # Current number of processed clauses: 2091
% # Positive orientable unit clauses: 129
% # Positive unorientable unit clauses: 1
% # Negative unit clauses : 32
% # Non-unit-clauses : 1929
% # Current number of unprocessed clauses: 17358
% # ...number of literals in the above : 107173
% # Clause-clause subsumption calls (NU) : 1917325
% # Rec. Clause-clause subsumption calls : 1061384
% # Unit Clause-clause subsumption calls : 5523
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 322
% # Indexed BW rewrite successes : 26
% # Backwards rewriting index: 1219 leaves, 1.84+/-2.841 terms/leaf
% # Paramod-from index: 438 leaves, 1.48+/-2.197 terms/leaf
% # Paramod-into index: 913 leaves, 1.63+/-2.221 terms/leaf
% # -------------------------------------------------
% # User time : 3.223 s
% # System time : 0.068 s
% # Total time : 3.290 s
% # Maximum resident set size: 0 pages
% PrfWatch: 4.11 CPU 4.23 WC
% FINAL PrfWatch: 4.11 CPU 4.23 WC
% SZS output end Solution for /tmp/SystemOnTPTP11488/GRP624+1.tptp
%
%------------------------------------------------------------------------------