TSTP Solution File: GRP623+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : GRP623+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 : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 05:59:18 EST 2010
% Result : Theorem 11.57s
% Output : Solution 11.57s
% 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/SystemOnTPTP22102/GRP623+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP22102/GRP623+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP22102/GRP623+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 22198
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.93 CPU 2.01 WC
% PrfWatch: 3.92 CPU 4.01 WC
% PrfWatch: 5.91 CPU 6.02 WC
% PrfWatch: 7.54 CPU 8.02 WC
% # Preprocessing time : 0.018 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 9.18 CPU 10.03 WC
% # SZS output start CNFRefutation.
% fof(6, 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(8, axiom,![X1]:(((((~(v3_struct_0(X1))&v1_group_1(X1))&v3_group_1(X1))&v4_group_1(X1))&l1_group_1(X1))=>m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))),file('/tmp/SRASS.s.p', dt_k4_autgroup)).
% fof(10, axiom,![X1]:![X2]:(r1_tarski(X1,X2)<=>![X3]:(r2_hidden(X3,X1)=>r2_hidden(X3,X2))),file('/tmp/SRASS.s.p', d3_tarski)).
% fof(16, axiom,![X1]:(l1_group_1(X1)=>l1_struct_0(X1)),file('/tmp/SRASS.s.p', dt_l1_group_1)).
% fof(30, axiom,![X1]:![X2]:((((~(v1_xboole_0(X1))&v1_funct_1(X2))&v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1))&m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1))=>(~(v3_struct_0(g1_group_1(X1,X2)))&v1_group_1(g1_group_1(X1,X2)))),file('/tmp/SRASS.s.p', fc1_group_1)).
% fof(31, 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(32, axiom,![X1]:![X2]:(r2_hidden(X1,X2)=>m1_subset_1(X1,X2)),file('/tmp/SRASS.s.p', t1_subset)).
% fof(34, 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(35, axiom,![X1]:(l1_group_1(X1)=>(v1_group_1(X1)=>X1=g1_group_1(u1_struct_0(X1),u1_group_1(X1)))),file('/tmp/SRASS.s.p', abstractness_v1_group_1)).
% fof(37, 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(38, axiom,![X1]:![X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_hidden(X1,X2))),file('/tmp/SRASS.s.p', t2_subset)).
% fof(44, 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(50, axiom,![X1]:(l1_group_1(X1)=>((v1_funct_1(u1_group_1(X1))&v1_funct_2(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))&m2_relset_1(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))),file('/tmp/SRASS.s.p', dt_u1_group_1)).
% fof(64, conjecture,![X1]:(((((~(v3_struct_0(X1))&v1_group_1(X1))&v3_group_1(X1))&v4_group_1(X1))&l1_group_1(X1))=>r1_tarski(k4_autgroup(X1),k1_autgroup(X1))),file('/tmp/SRASS.s.p', t14_autgroup)).
% fof(65, negated_conjecture,~(![X1]:(((((~(v3_struct_0(X1))&v1_group_1(X1))&v3_group_1(X1))&v4_group_1(X1))&l1_group_1(X1))=>r1_tarski(k4_autgroup(X1),k1_autgroup(X1)))),inference(assume_negation,[status(cth)],[64])).
% fof(68, 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)],[6,theory(equality)])).
% fof(69, 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(70, plain,![X1]:(((((~(v3_struct_0(X1))&v1_group_1(X1))&v3_group_1(X1))&v4_group_1(X1))&l1_group_1(X1))=>m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))),inference(fof_simplification,[status(thm)],[8,theory(equality)])).
% fof(77, plain,![X1]:![X2]:((((~(v1_xboole_0(X1))&v1_funct_1(X2))&v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1))&m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1))=>(~(v3_struct_0(g1_group_1(X1,X2)))&v1_group_1(g1_group_1(X1,X2)))),inference(fof_simplification,[status(thm)],[30,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)],[31,theory(equality)])).
% fof(79, 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)],[34,theory(equality)])).
% fof(82, plain,![X1]:![X2]:![X3]:(m1_fraenkel(X3,X1,X2)=>(~(v1_xboole_0(X3))&v1_fraenkel(X3))),inference(fof_simplification,[status(thm)],[44,theory(equality)])).
% fof(85, negated_conjecture,~(![X1]:(((((~(v3_struct_0(X1))&v1_group_1(X1))&v3_group_1(X1))&v4_group_1(X1))&l1_group_1(X1))=>r1_tarski(k4_autgroup(X1),k1_autgroup(X1)))),inference(fof_simplification,[status(thm)],[65,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)))|![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)],[68])).
% fof(109, 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)],[108])).
% fof(110, 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)],[109])).
% cnf(111,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)],[110])).
% fof(112, 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)],[69])).
% fof(113, 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)],[112])).
% cnf(114,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)],[113])).
% fof(115, plain,![X1]:(((((v3_struct_0(X1)|~(v1_group_1(X1)))|~(v3_group_1(X1)))|~(v4_group_1(X1)))|~(l1_group_1(X1)))|m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))),inference(fof_nnf,[status(thm)],[70])).
% fof(116, plain,![X2]:(((((v3_struct_0(X2)|~(v1_group_1(X2)))|~(v3_group_1(X2)))|~(v4_group_1(X2)))|~(l1_group_1(X2)))|m1_fraenkel(k4_autgroup(X2),u1_struct_0(X2),u1_struct_0(X2))),inference(variable_rename,[status(thm)],[115])).
% cnf(117,plain,(m1_fraenkel(k4_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)],[116])).
% fof(123, plain,![X1]:![X2]:((~(r1_tarski(X1,X2))|![X3]:(~(r2_hidden(X3,X1))|r2_hidden(X3,X2)))&(?[X3]:(r2_hidden(X3,X1)&~(r2_hidden(X3,X2)))|r1_tarski(X1,X2))),inference(fof_nnf,[status(thm)],[10])).
% fof(124, plain,![X4]:![X5]:((~(r1_tarski(X4,X5))|![X6]:(~(r2_hidden(X6,X4))|r2_hidden(X6,X5)))&(?[X7]:(r2_hidden(X7,X4)&~(r2_hidden(X7,X5)))|r1_tarski(X4,X5))),inference(variable_rename,[status(thm)],[123])).
% fof(125, plain,![X4]:![X5]:((~(r1_tarski(X4,X5))|![X6]:(~(r2_hidden(X6,X4))|r2_hidden(X6,X5)))&((r2_hidden(esk5_2(X4,X5),X4)&~(r2_hidden(esk5_2(X4,X5),X5)))|r1_tarski(X4,X5))),inference(skolemize,[status(esa)],[124])).
% fof(126, plain,![X4]:![X5]:![X6]:(((~(r2_hidden(X6,X4))|r2_hidden(X6,X5))|~(r1_tarski(X4,X5)))&((r2_hidden(esk5_2(X4,X5),X4)&~(r2_hidden(esk5_2(X4,X5),X5)))|r1_tarski(X4,X5))),inference(shift_quantors,[status(thm)],[125])).
% fof(127, plain,![X4]:![X5]:![X6]:(((~(r2_hidden(X6,X4))|r2_hidden(X6,X5))|~(r1_tarski(X4,X5)))&((r2_hidden(esk5_2(X4,X5),X4)|r1_tarski(X4,X5))&(~(r2_hidden(esk5_2(X4,X5),X5))|r1_tarski(X4,X5)))),inference(distribute,[status(thm)],[126])).
% cnf(128,plain,(r1_tarski(X1,X2)|~r2_hidden(esk5_2(X1,X2),X2)),inference(split_conjunct,[status(thm)],[127])).
% cnf(129,plain,(r1_tarski(X1,X2)|r2_hidden(esk5_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[127])).
% fof(147, plain,![X1]:(~(l1_group_1(X1))|l1_struct_0(X1)),inference(fof_nnf,[status(thm)],[16])).
% fof(148, plain,![X2]:(~(l1_group_1(X2))|l1_struct_0(X2)),inference(variable_rename,[status(thm)],[147])).
% cnf(149,plain,(l1_struct_0(X1)|~l1_group_1(X1)),inference(split_conjunct,[status(thm)],[148])).
% fof(211, plain,![X1]:![X2]:((((v1_xboole_0(X1)|~(v1_funct_1(X2)))|~(v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)))|~(m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)))|(~(v3_struct_0(g1_group_1(X1,X2)))&v1_group_1(g1_group_1(X1,X2)))),inference(fof_nnf,[status(thm)],[77])).
% fof(212, plain,![X3]:![X4]:((((v1_xboole_0(X3)|~(v1_funct_1(X4)))|~(v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)))|~(m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3)))|(~(v3_struct_0(g1_group_1(X3,X4)))&v1_group_1(g1_group_1(X3,X4)))),inference(variable_rename,[status(thm)],[211])).
% fof(213, plain,![X3]:![X4]:((~(v3_struct_0(g1_group_1(X3,X4)))|(((v1_xboole_0(X3)|~(v1_funct_1(X4)))|~(v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)))|~(m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3))))&(v1_group_1(g1_group_1(X3,X4))|(((v1_xboole_0(X3)|~(v1_funct_1(X4)))|~(v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)))|~(m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3))))),inference(distribute,[status(thm)],[212])).
% cnf(215,plain,(v1_xboole_0(X2)|~m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)|~v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)|~v1_funct_1(X1)|~v3_struct_0(g1_group_1(X2,X1))),inference(split_conjunct,[status(thm)],[213])).
% fof(216, plain,![X1]:((v3_struct_0(X1)|~(l1_struct_0(X1)))|~(v1_xboole_0(u1_struct_0(X1)))),inference(fof_nnf,[status(thm)],[78])).
% fof(217, plain,![X2]:((v3_struct_0(X2)|~(l1_struct_0(X2)))|~(v1_xboole_0(u1_struct_0(X2)))),inference(variable_rename,[status(thm)],[216])).
% cnf(218,plain,(v3_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))|~l1_struct_0(X1)),inference(split_conjunct,[status(thm)],[217])).
% fof(219, plain,![X1]:![X2]:(~(r2_hidden(X1,X2))|m1_subset_1(X1,X2)),inference(fof_nnf,[status(thm)],[32])).
% fof(220, plain,![X3]:![X4]:(~(r2_hidden(X3,X4))|m1_subset_1(X3,X4)),inference(variable_rename,[status(thm)],[219])).
% cnf(221,plain,(m1_subset_1(X1,X2)|~r2_hidden(X1,X2)),inference(split_conjunct,[status(thm)],[220])).
% fof(225, 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)],[79])).
% fof(226, 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)],[225])).
% fof(227, 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)],[226])).
% fof(228, 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)],[227])).
% cnf(229,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)],[228])).
% cnf(230,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)],[228])).
% fof(231, plain,![X1]:(~(l1_group_1(X1))|(~(v1_group_1(X1))|X1=g1_group_1(u1_struct_0(X1),u1_group_1(X1)))),inference(fof_nnf,[status(thm)],[35])).
% fof(232, plain,![X2]:(~(l1_group_1(X2))|(~(v1_group_1(X2))|X2=g1_group_1(u1_struct_0(X2),u1_group_1(X2)))),inference(variable_rename,[status(thm)],[231])).
% cnf(233,plain,(X1=g1_group_1(u1_struct_0(X1),u1_group_1(X1))|~v1_group_1(X1)|~l1_group_1(X1)),inference(split_conjunct,[status(thm)],[232])).
% fof(237, 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)],[37])).
% fof(238, 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)],[237])).
% cnf(240,plain,(m1_relset_1(X1,X2,X3)|~m2_relset_1(X1,X2,X3)),inference(split_conjunct,[status(thm)],[238])).
% fof(241, plain,![X1]:![X2]:(~(m1_subset_1(X1,X2))|(v1_xboole_0(X2)|r2_hidden(X1,X2))),inference(fof_nnf,[status(thm)],[38])).
% fof(242, plain,![X3]:![X4]:(~(m1_subset_1(X3,X4))|(v1_xboole_0(X4)|r2_hidden(X3,X4))),inference(variable_rename,[status(thm)],[241])).
% cnf(243,plain,(r2_hidden(X1,X2)|v1_xboole_0(X2)|~m1_subset_1(X1,X2)),inference(split_conjunct,[status(thm)],[242])).
% fof(264, plain,![X1]:![X2]:![X3]:(~(m1_fraenkel(X3,X1,X2))|(~(v1_xboole_0(X3))&v1_fraenkel(X3))),inference(fof_nnf,[status(thm)],[82])).
% fof(265, plain,![X4]:![X5]:![X6]:(~(m1_fraenkel(X6,X4,X5))|(~(v1_xboole_0(X6))&v1_fraenkel(X6))),inference(variable_rename,[status(thm)],[264])).
% fof(266, 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)],[265])).
% cnf(268,plain,(~m1_fraenkel(X1,X2,X3)|~v1_xboole_0(X1)),inference(split_conjunct,[status(thm)],[266])).
% fof(291, plain,![X1]:(~(l1_group_1(X1))|((v1_funct_1(u1_group_1(X1))&v1_funct_2(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))&m2_relset_1(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))),inference(fof_nnf,[status(thm)],[50])).
% fof(292, plain,![X2]:(~(l1_group_1(X2))|((v1_funct_1(u1_group_1(X2))&v1_funct_2(u1_group_1(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2)))&m2_relset_1(u1_group_1(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2)))),inference(variable_rename,[status(thm)],[291])).
% fof(293, plain,![X2]:(((v1_funct_1(u1_group_1(X2))|~(l1_group_1(X2)))&(v1_funct_2(u1_group_1(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))|~(l1_group_1(X2))))&(m2_relset_1(u1_group_1(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))|~(l1_group_1(X2)))),inference(distribute,[status(thm)],[292])).
% cnf(294,plain,(m2_relset_1(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~l1_group_1(X1)),inference(split_conjunct,[status(thm)],[293])).
% cnf(295,plain,(v1_funct_2(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~l1_group_1(X1)),inference(split_conjunct,[status(thm)],[293])).
% cnf(296,plain,(v1_funct_1(u1_group_1(X1))|~l1_group_1(X1)),inference(split_conjunct,[status(thm)],[293])).
% fof(331, negated_conjecture,?[X1]:(((((~(v3_struct_0(X1))&v1_group_1(X1))&v3_group_1(X1))&v4_group_1(X1))&l1_group_1(X1))&~(r1_tarski(k4_autgroup(X1),k1_autgroup(X1)))),inference(fof_nnf,[status(thm)],[85])).
% fof(332, negated_conjecture,?[X2]:(((((~(v3_struct_0(X2))&v1_group_1(X2))&v3_group_1(X2))&v4_group_1(X2))&l1_group_1(X2))&~(r1_tarski(k4_autgroup(X2),k1_autgroup(X2)))),inference(variable_rename,[status(thm)],[331])).
% fof(333, negated_conjecture,(((((~(v3_struct_0(esk23_0))&v1_group_1(esk23_0))&v3_group_1(esk23_0))&v4_group_1(esk23_0))&l1_group_1(esk23_0))&~(r1_tarski(k4_autgroup(esk23_0),k1_autgroup(esk23_0)))),inference(skolemize,[status(esa)],[332])).
% cnf(334,negated_conjecture,(~r1_tarski(k4_autgroup(esk23_0),k1_autgroup(esk23_0))),inference(split_conjunct,[status(thm)],[333])).
% cnf(335,negated_conjecture,(l1_group_1(esk23_0)),inference(split_conjunct,[status(thm)],[333])).
% cnf(336,negated_conjecture,(v4_group_1(esk23_0)),inference(split_conjunct,[status(thm)],[333])).
% cnf(337,negated_conjecture,(v3_group_1(esk23_0)),inference(split_conjunct,[status(thm)],[333])).
% cnf(338,negated_conjecture,(v1_group_1(esk23_0)),inference(split_conjunct,[status(thm)],[333])).
% cnf(339,negated_conjecture,(~v3_struct_0(esk23_0)),inference(split_conjunct,[status(thm)],[333])).
% cnf(349,plain,(v3_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))|~l1_group_1(X1)),inference(spm,[status(thm)],[218,149,theory(equality)])).
% cnf(367,plain,(r1_tarski(X1,X2)|v1_xboole_0(X2)|~m1_subset_1(esk5_2(X1,X2),X2)),inference(spm,[status(thm)],[128,243,theory(equality)])).
% cnf(375,plain,(m1_subset_1(esk5_2(X1,X2),X1)|r1_tarski(X1,X2)),inference(spm,[status(thm)],[221,129,theory(equality)])).
% cnf(398,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)],[268,114,theory(equality)])).
% cnf(404,plain,(m1_relset_1(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~l1_group_1(X1)),inference(spm,[status(thm)],[240,294,theory(equality)])).
% cnf(417,plain,(v1_xboole_0(u1_struct_0(X1))|~v1_funct_1(u1_group_1(X1))|~m1_relset_1(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~v3_struct_0(g1_group_1(u1_struct_0(X1),u1_group_1(X1)))|~l1_group_1(X1)),inference(spm,[status(thm)],[215,295,theory(equality)])).
% cnf(436,plain,(v1_xboole_0(u1_struct_0(X1))|m1_subset_1(X2,k1_autgroup(X1))|v3_struct_0(X1)|~m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))|~m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~l1_group_1(X1)),inference(spm,[status(thm)],[230,111,theory(equality)])).
% cnf(447,negated_conjecture,(~v1_xboole_0(u1_struct_0(esk23_0))|~l1_group_1(esk23_0)),inference(spm,[status(thm)],[339,349,theory(equality)])).
% cnf(451,negated_conjecture,(~v1_xboole_0(u1_struct_0(esk23_0))|$false),inference(rw,[status(thm)],[447,335,theory(equality)])).
% cnf(452,negated_conjecture,(~v1_xboole_0(u1_struct_0(esk23_0))),inference(cn,[status(thm)],[451,theory(equality)])).
% cnf(1001,plain,(v1_xboole_0(u1_struct_0(X1))|~v1_funct_1(u1_group_1(X1))|~v3_struct_0(g1_group_1(u1_struct_0(X1),u1_group_1(X1)))|~l1_group_1(X1)),inference(csr,[status(thm)],[417,404])).
% cnf(1002,plain,(v1_xboole_0(u1_struct_0(X1))|~v3_struct_0(g1_group_1(u1_struct_0(X1),u1_group_1(X1)))|~l1_group_1(X1)),inference(csr,[status(thm)],[1001,296])).
% cnf(1003,plain,(v1_xboole_0(u1_struct_0(X1))|~v3_struct_0(X1)|~l1_group_1(X1)|~v1_group_1(X1)),inference(spm,[status(thm)],[1002,233,theory(equality)])).
% cnf(1630,plain,(v1_xboole_0(u1_struct_0(X1))|m1_subset_1(X2,k1_autgroup(X1))|v3_struct_0(X1)|~m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~l1_group_1(X1)),inference(csr,[status(thm)],[436,114])).
% cnf(1631,plain,(v1_xboole_0(u1_struct_0(X1))|m1_subset_1(X2,k1_autgroup(X1))|~m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~l1_group_1(X1)),inference(csr,[status(thm)],[1630,1003])).
% cnf(1635,plain,(v1_xboole_0(u1_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)|~m1_subset_1(X2,k4_autgroup(X1))|~m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))),inference(spm,[status(thm)],[1631,229,theory(equality)])).
% cnf(20033,plain,(v1_xboole_0(u1_struct_0(X1))|m1_subset_1(X2,k1_autgroup(X1))|v3_struct_0(X1)|~m1_subset_1(X2,k4_autgroup(X1))|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~l1_group_1(X1)),inference(spm,[status(thm)],[1635,117,theory(equality)])).
% cnf(41917,plain,(v1_xboole_0(u1_struct_0(X1))|m1_subset_1(X2,k1_autgroup(X1))|~m1_subset_1(X2,k4_autgroup(X1))|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~l1_group_1(X1)),inference(csr,[status(thm)],[20033,1003])).
% cnf(41919,plain,(v1_xboole_0(k1_autgroup(X1))|r1_tarski(X2,k1_autgroup(X1))|v1_xboole_0(u1_struct_0(X1))|~m1_subset_1(esk5_2(X2,k1_autgroup(X1)),k4_autgroup(X1))|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~l1_group_1(X1)),inference(spm,[status(thm)],[367,41917,theory(equality)])).
% cnf(249902,plain,(v1_xboole_0(u1_struct_0(X1))|v1_xboole_0(k1_autgroup(X1))|r1_tarski(k4_autgroup(X1),k1_autgroup(X1))|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~l1_group_1(X1)),inference(spm,[status(thm)],[41919,375,theory(equality)])).
% cnf(249935,negated_conjecture,(v1_xboole_0(k1_autgroup(esk23_0))|v1_xboole_0(u1_struct_0(esk23_0))|~v4_group_1(esk23_0)|~v3_group_1(esk23_0)|~v1_group_1(esk23_0)|~l1_group_1(esk23_0)),inference(spm,[status(thm)],[334,249902,theory(equality)])).
% cnf(249936,negated_conjecture,(v1_xboole_0(k1_autgroup(esk23_0))|v1_xboole_0(u1_struct_0(esk23_0))|$false|~v3_group_1(esk23_0)|~v1_group_1(esk23_0)|~l1_group_1(esk23_0)),inference(rw,[status(thm)],[249935,336,theory(equality)])).
% cnf(249937,negated_conjecture,(v1_xboole_0(k1_autgroup(esk23_0))|v1_xboole_0(u1_struct_0(esk23_0))|$false|$false|~v1_group_1(esk23_0)|~l1_group_1(esk23_0)),inference(rw,[status(thm)],[249936,337,theory(equality)])).
% cnf(249938,negated_conjecture,(v1_xboole_0(k1_autgroup(esk23_0))|v1_xboole_0(u1_struct_0(esk23_0))|$false|$false|$false|~l1_group_1(esk23_0)),inference(rw,[status(thm)],[249937,338,theory(equality)])).
% cnf(249939,negated_conjecture,(v1_xboole_0(k1_autgroup(esk23_0))|v1_xboole_0(u1_struct_0(esk23_0))|$false|$false|$false|$false),inference(rw,[status(thm)],[249938,335,theory(equality)])).
% cnf(249940,negated_conjecture,(v1_xboole_0(k1_autgroup(esk23_0))|v1_xboole_0(u1_struct_0(esk23_0))),inference(cn,[status(thm)],[249939,theory(equality)])).
% cnf(249941,negated_conjecture,(v1_xboole_0(k1_autgroup(esk23_0))),inference(sr,[status(thm)],[249940,452,theory(equality)])).
% cnf(249995,negated_conjecture,(v3_struct_0(esk23_0)|~v4_group_1(esk23_0)|~v3_group_1(esk23_0)|~v1_group_1(esk23_0)|~l1_group_1(esk23_0)),inference(spm,[status(thm)],[398,249941,theory(equality)])).
% cnf(249996,negated_conjecture,(v3_struct_0(esk23_0)|$false|~v3_group_1(esk23_0)|~v1_group_1(esk23_0)|~l1_group_1(esk23_0)),inference(rw,[status(thm)],[249995,336,theory(equality)])).
% cnf(249997,negated_conjecture,(v3_struct_0(esk23_0)|$false|$false|~v1_group_1(esk23_0)|~l1_group_1(esk23_0)),inference(rw,[status(thm)],[249996,337,theory(equality)])).
% cnf(249998,negated_conjecture,(v3_struct_0(esk23_0)|$false|$false|$false|~l1_group_1(esk23_0)),inference(rw,[status(thm)],[249997,338,theory(equality)])).
% cnf(249999,negated_conjecture,(v3_struct_0(esk23_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[249998,335,theory(equality)])).
% cnf(250000,negated_conjecture,(v3_struct_0(esk23_0)),inference(cn,[status(thm)],[249999,theory(equality)])).
% cnf(250001,negated_conjecture,($false),inference(sr,[status(thm)],[250000,339,theory(equality)])).
% cnf(250002,negated_conjecture,($false),250001,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 18303
% # ...of these trivial : 25
% # ...subsumed : 15518
% # ...remaining for further processing: 2760
% # Other redundant clauses eliminated : 2
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 163
% # Backward-rewritten : 76
% # Generated clauses : 186032
% # ...of the previous two non-trivial : 163990
% # Contextual simplify-reflections : 21245
% # Paramodulations : 185937
% # Factorizations : 0
% # Equation resolutions : 17
% # Current number of processed clauses: 2396
% # Positive orientable unit clauses: 112
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 40
% # Non-unit-clauses : 2244
% # Current number of unprocessed clauses: 138974
% # ...number of literals in the above : 707980
% # Clause-clause subsumption calls (NU) : 555001
% # Rec. Clause-clause subsumption calls : 421260
% # Unit Clause-clause subsumption calls : 25900
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 462
% # Indexed BW rewrite successes : 40
% # Backwards rewriting index: 932 leaves, 2.29+/-4.621 terms/leaf
% # Paramod-from index: 455 leaves, 1.79+/-3.311 terms/leaf
% # Paramod-into index: 820 leaves, 2.13+/-4.307 terms/leaf
% # -------------------------------------------------
% # User time : 7.561 s
% # System time : 0.214 s
% # Total time : 7.775 s
% # Maximum resident set size: 0 pages
% PrfWatch: 10.62 CPU 11.49 WC
% FINAL PrfWatch: 10.62 CPU 11.49 WC
% SZS output end Solution for /tmp/SystemOnTPTP22102/GRP623+1.tptp
%
%------------------------------------------------------------------------------