TSTP Solution File: GRP622+1 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : GRP622+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 : art05.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 05:58:24 EST 2010
% Result : Theorem 18.17s
% Output : Solution 18.17s
% 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/SystemOnTPTP3176/GRP622+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP3176/GRP622+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP3176/GRP622+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 3272
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.91 CPU 4.01 WC
% PrfWatch: 5.91 CPU 6.02 WC
% PrfWatch: 7.90 CPU 8.02 WC
% PrfWatch: 9.89 CPU 10.03 WC
% PrfWatch: 11.88 CPU 12.03 WC
% # Preprocessing time : 0.020 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 13.87 CPU 14.04 WC
% PrfWatch: 15.86 CPU 16.04 WC
% # SZS output start CNFRefutation.
% fof(5, 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(8, 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(9, axiom,![X1]:![X2]:(r1_tarski(X1,X2)<=>![X3]:(r2_hidden(X3,X1)=>r2_hidden(X3,X2))),file('/tmp/SRASS.s.p', d3_tarski)).
% fof(15, 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(17, axiom,![X1]:(l1_group_1(X1)=>l1_struct_0(X1)),file('/tmp/SRASS.s.p', dt_l1_group_1)).
% fof(28, axiom,![X1]:![X2]:(~(v1_xboole_0(X2))=>k1_fraenkel(X1,X2)=k1_funct_2(X1,X2)),file('/tmp/SRASS.s.p', redefinition_k1_fraenkel)).
% fof(29, 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(30, axiom,![X1]:![X2]:(r2_hidden(X1,X2)=>m1_subset_1(X1,X2)),file('/tmp/SRASS.s.p', t1_subset)).
% fof(33, 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_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(46, axiom,![X1]:![X2]:(((v1_funct_1(X2)&v1_funct_2(X2,X1,X1))&m2_relset_1(X2,X1,X1))=>r2_hidden(X2,k1_funct_2(X1,X1))),file('/tmp/SRASS.s.p', t12_funct_2)).
% fof(50, axiom,![X1]:![X2]:![X3]:((~(v1_xboole_0(X2))&m1_fraenkel(X3,X1,X2))=>![X4]:(m2_fraenkel(X4,X1,X2,X3)=>((v1_funct_1(X4)&v1_funct_2(X4,X1,X2))&m2_relset_1(X4,X1,X2)))),file('/tmp/SRASS.s.p', dt_m2_fraenkel)).
% fof(52, 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(69, 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_fraenkel(u1_struct_0(X1),u1_struct_0(X1)))),file('/tmp/SRASS.s.p', t12_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))=>r1_tarski(k4_autgroup(X1),k1_fraenkel(u1_struct_0(X1),u1_struct_0(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(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))),inference(fof_simplification,[status(thm)],[5,theory(equality)])).
% fof(75, plain,![X1]:((~(v3_struct_0(X1))&l1_struct_0(X1))=>~(v1_xboole_0(u1_struct_0(X1)))),inference(fof_simplification,[status(thm)],[8,theory(equality)])).
% fof(83, plain,![X1]:![X2]:(~(v1_xboole_0(X2))=>k1_fraenkel(X1,X2)=k1_funct_2(X1,X2)),inference(fof_simplification,[status(thm)],[28,theory(equality)])).
% fof(84, 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)],[29,theory(equality)])).
% fof(85, 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)],[33,theory(equality)])).
% fof(91, plain,![X1]:![X2]:![X3]:((~(v1_xboole_0(X2))&m1_fraenkel(X3,X1,X2))=>![X4]:(m2_fraenkel(X4,X1,X2,X3)=>((v1_funct_1(X4)&v1_funct_2(X4,X1,X2))&m2_relset_1(X4,X1,X2)))),inference(fof_simplification,[status(thm)],[50,theory(equality)])).
% fof(92, 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_fraenkel(u1_struct_0(X1),u1_struct_0(X1))))),inference(fof_simplification,[status(thm)],[70,theory(equality)])).
% fof(107, 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)],[72])).
% fof(108, 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)],[107])).
% cnf(109,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)],[108])).
% fof(123, plain,![X1]:((v3_struct_0(X1)|~(l1_struct_0(X1)))|~(v1_xboole_0(u1_struct_0(X1)))),inference(fof_nnf,[status(thm)],[75])).
% fof(124, plain,![X2]:((v3_struct_0(X2)|~(l1_struct_0(X2)))|~(v1_xboole_0(u1_struct_0(X2)))),inference(variable_rename,[status(thm)],[123])).
% cnf(125,plain,(v3_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))|~l1_struct_0(X1)),inference(split_conjunct,[status(thm)],[124])).
% fof(126, 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)],[9])).
% fof(127, 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)],[126])).
% fof(128, 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)],[127])).
% fof(129, 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)],[128])).
% fof(130, 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)],[129])).
% cnf(131,plain,(r1_tarski(X1,X2)|~r2_hidden(esk5_2(X1,X2),X2)),inference(split_conjunct,[status(thm)],[130])).
% cnf(132,plain,(r1_tarski(X1,X2)|r2_hidden(esk5_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[130])).
% fof(149, 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)],[15])).
% fof(150, 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)],[149])).
% cnf(151,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)],[150])).
% fof(156, plain,![X1]:(~(l1_group_1(X1))|l1_struct_0(X1)),inference(fof_nnf,[status(thm)],[17])).
% fof(157, plain,![X2]:(~(l1_group_1(X2))|l1_struct_0(X2)),inference(variable_rename,[status(thm)],[156])).
% cnf(158,plain,(l1_struct_0(X1)|~l1_group_1(X1)),inference(split_conjunct,[status(thm)],[157])).
% fof(196, plain,![X1]:![X2]:(v1_xboole_0(X2)|k1_fraenkel(X1,X2)=k1_funct_2(X1,X2)),inference(fof_nnf,[status(thm)],[83])).
% fof(197, plain,![X3]:![X4]:(v1_xboole_0(X4)|k1_fraenkel(X3,X4)=k1_funct_2(X3,X4)),inference(variable_rename,[status(thm)],[196])).
% cnf(198,plain,(k1_fraenkel(X1,X2)=k1_funct_2(X1,X2)|v1_xboole_0(X2)),inference(split_conjunct,[status(thm)],[197])).
% fof(199, 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)],[84])).
% fof(200, 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)],[199])).
% fof(201, 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)],[200])).
% cnf(203,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)],[201])).
% fof(204, plain,![X1]:![X2]:(~(r2_hidden(X1,X2))|m1_subset_1(X1,X2)),inference(fof_nnf,[status(thm)],[30])).
% fof(205, plain,![X3]:![X4]:(~(r2_hidden(X3,X4))|m1_subset_1(X3,X4)),inference(variable_rename,[status(thm)],[204])).
% cnf(206,plain,(m1_subset_1(X1,X2)|~r2_hidden(X1,X2)),inference(split_conjunct,[status(thm)],[205])).
% fof(213, 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)],[85])).
% fof(214, 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)],[213])).
% fof(215, 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)],[214])).
% fof(216, 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)],[215])).
% cnf(217,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)],[216])).
% fof(224, 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)],[35])).
% fof(225, 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)],[224])).
% fof(226, 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)],[225])).
% cnf(227,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)],[226])).
% cnf(228,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)],[226])).
% cnf(229,plain,(v1_funct_1(u1_group_1(X1))|~l1_group_1(X1)),inference(split_conjunct,[status(thm)],[226])).
% fof(271, plain,![X1]:![X2]:(((~(v1_funct_1(X2))|~(v1_funct_2(X2,X1,X1)))|~(m2_relset_1(X2,X1,X1)))|r2_hidden(X2,k1_funct_2(X1,X1))),inference(fof_nnf,[status(thm)],[46])).
% fof(272, plain,![X3]:![X4]:(((~(v1_funct_1(X4))|~(v1_funct_2(X4,X3,X3)))|~(m2_relset_1(X4,X3,X3)))|r2_hidden(X4,k1_funct_2(X3,X3))),inference(variable_rename,[status(thm)],[271])).
% cnf(273,plain,(r2_hidden(X1,k1_funct_2(X2,X2))|~m2_relset_1(X1,X2,X2)|~v1_funct_2(X1,X2,X2)|~v1_funct_1(X1)),inference(split_conjunct,[status(thm)],[272])).
% fof(286, plain,![X1]:![X2]:![X3]:((v1_xboole_0(X2)|~(m1_fraenkel(X3,X1,X2)))|![X4]:(~(m2_fraenkel(X4,X1,X2,X3))|((v1_funct_1(X4)&v1_funct_2(X4,X1,X2))&m2_relset_1(X4,X1,X2)))),inference(fof_nnf,[status(thm)],[91])).
% fof(287, plain,![X5]:![X6]:![X7]:((v1_xboole_0(X6)|~(m1_fraenkel(X7,X5,X6)))|![X8]:(~(m2_fraenkel(X8,X5,X6,X7))|((v1_funct_1(X8)&v1_funct_2(X8,X5,X6))&m2_relset_1(X8,X5,X6)))),inference(variable_rename,[status(thm)],[286])).
% fof(288, plain,![X5]:![X6]:![X7]:![X8]:((~(m2_fraenkel(X8,X5,X6,X7))|((v1_funct_1(X8)&v1_funct_2(X8,X5,X6))&m2_relset_1(X8,X5,X6)))|(v1_xboole_0(X6)|~(m1_fraenkel(X7,X5,X6)))),inference(shift_quantors,[status(thm)],[287])).
% fof(289, plain,![X5]:![X6]:![X7]:![X8]:((((v1_funct_1(X8)|~(m2_fraenkel(X8,X5,X6,X7)))|(v1_xboole_0(X6)|~(m1_fraenkel(X7,X5,X6))))&((v1_funct_2(X8,X5,X6)|~(m2_fraenkel(X8,X5,X6,X7)))|(v1_xboole_0(X6)|~(m1_fraenkel(X7,X5,X6)))))&((m2_relset_1(X8,X5,X6)|~(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_relset_1(X4,X2,X3)|~m1_fraenkel(X1,X2,X3)|~m2_fraenkel(X4,X2,X3,X1)),inference(split_conjunct,[status(thm)],[289])).
% cnf(291,plain,(v1_xboole_0(X3)|v1_funct_2(X4,X2,X3)|~m1_fraenkel(X1,X2,X3)|~m2_fraenkel(X4,X2,X3,X1)),inference(split_conjunct,[status(thm)],[289])).
% cnf(292,plain,(v1_xboole_0(X3)|v1_funct_1(X4)|~m1_fraenkel(X1,X2,X3)|~m2_fraenkel(X4,X2,X3,X1)),inference(split_conjunct,[status(thm)],[289])).
% fof(295, 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)],[52])).
% fof(296, 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)],[295])).
% cnf(298,plain,(m1_relset_1(X1,X2,X3)|~m2_relset_1(X1,X2,X3)),inference(split_conjunct,[status(thm)],[296])).
% fof(348, 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_fraenkel(u1_struct_0(X1),u1_struct_0(X1))))),inference(fof_nnf,[status(thm)],[92])).
% fof(349, 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_fraenkel(u1_struct_0(X2),u1_struct_0(X2))))),inference(variable_rename,[status(thm)],[348])).
% fof(350, 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_fraenkel(u1_struct_0(esk23_0),u1_struct_0(esk23_0))))),inference(skolemize,[status(esa)],[349])).
% cnf(351,negated_conjecture,(~r1_tarski(k4_autgroup(esk23_0),k1_fraenkel(u1_struct_0(esk23_0),u1_struct_0(esk23_0)))),inference(split_conjunct,[status(thm)],[350])).
% cnf(352,negated_conjecture,(l1_group_1(esk23_0)),inference(split_conjunct,[status(thm)],[350])).
% cnf(353,negated_conjecture,(v4_group_1(esk23_0)),inference(split_conjunct,[status(thm)],[350])).
% cnf(354,negated_conjecture,(v3_group_1(esk23_0)),inference(split_conjunct,[status(thm)],[350])).
% cnf(355,negated_conjecture,(v1_group_1(esk23_0)),inference(split_conjunct,[status(thm)],[350])).
% cnf(356,negated_conjecture,(~v3_struct_0(esk23_0)),inference(split_conjunct,[status(thm)],[350])).
% cnf(366,plain,(v3_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))|~l1_group_1(X1)),inference(spm,[status(thm)],[125,158,theory(equality)])).
% cnf(380,negated_conjecture,(v1_xboole_0(u1_struct_0(esk23_0))|~r1_tarski(k4_autgroup(esk23_0),k1_funct_2(u1_struct_0(esk23_0),u1_struct_0(esk23_0)))),inference(spm,[status(thm)],[351,198,theory(equality)])).
% cnf(392,plain,(m1_subset_1(esk5_2(X1,X2),X1)|r1_tarski(X1,X2)),inference(spm,[status(thm)],[206,132,theory(equality)])).
% cnf(415,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)],[298,227,theory(equality)])).
% cnf(420,plain,(r1_tarski(X1,k1_funct_2(X2,X2))|~v1_funct_2(esk5_2(X1,k1_funct_2(X2,X2)),X2,X2)|~v1_funct_1(esk5_2(X1,k1_funct_2(X2,X2)))|~m2_relset_1(esk5_2(X1,k1_funct_2(X2,X2)),X2,X2)),inference(spm,[status(thm)],[131,273,theory(equality)])).
% cnf(424,plain,(v1_funct_1(X1)|v1_xboole_0(X2)|~m1_fraenkel(X4,X3,X2)|~m1_subset_1(X1,X4)),inference(spm,[status(thm)],[292,217,theory(equality)])).
% cnf(426,plain,(m2_relset_1(X1,X2,X3)|v1_xboole_0(X3)|~m1_fraenkel(X4,X2,X3)|~m1_subset_1(X1,X4)),inference(spm,[status(thm)],[290,217,theory(equality)])).
% cnf(427,plain,(v1_funct_2(X1,X2,X3)|v1_xboole_0(X3)|~m1_fraenkel(X4,X2,X3)|~m1_subset_1(X1,X4)),inference(spm,[status(thm)],[291,217,theory(equality)])).
% cnf(440,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)],[203,228,theory(equality)])).
% cnf(460,negated_conjecture,(~v1_xboole_0(u1_struct_0(esk23_0))|~l1_group_1(esk23_0)),inference(spm,[status(thm)],[356,366,theory(equality)])).
% cnf(464,negated_conjecture,(~v1_xboole_0(u1_struct_0(esk23_0))|$false),inference(rw,[status(thm)],[460,352,theory(equality)])).
% cnf(465,negated_conjecture,(~v1_xboole_0(u1_struct_0(esk23_0))),inference(cn,[status(thm)],[464,theory(equality)])).
% cnf(1014,plain,(v1_funct_1(X1)|v1_xboole_0(u1_struct_0(X2))|v3_struct_0(X2)|~m1_subset_1(X1,k4_autgroup(X2))|~v4_group_1(X2)|~v3_group_1(X2)|~v1_group_1(X2)|~l1_group_1(X2)),inference(spm,[status(thm)],[424,109,theory(equality)])).
% cnf(1024,plain,(m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))|v1_xboole_0(u1_struct_0(X2))|v3_struct_0(X2)|~m1_subset_1(X1,k4_autgroup(X2))|~v4_group_1(X2)|~v3_group_1(X2)|~v1_group_1(X2)|~l1_group_1(X2)),inference(spm,[status(thm)],[426,109,theory(equality)])).
% cnf(1055,plain,(v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))|v1_xboole_0(u1_struct_0(X2))|v3_struct_0(X2)|~m1_subset_1(X1,k4_autgroup(X2))|~v4_group_1(X2)|~v3_group_1(X2)|~v1_group_1(X2)|~l1_group_1(X2)),inference(spm,[status(thm)],[427,109,theory(equality)])).
% cnf(1155,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)],[440,415])).
% cnf(1156,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)],[1155,229])).
% cnf(1157,plain,(v1_xboole_0(u1_struct_0(X1))|~v3_struct_0(X1)|~l1_group_1(X1)|~v1_group_1(X1)),inference(spm,[status(thm)],[1156,151,theory(equality)])).
% cnf(1236,plain,(v1_funct_1(X1)|v1_xboole_0(u1_struct_0(X2))|~m1_subset_1(X1,k4_autgroup(X2))|~v4_group_1(X2)|~v3_group_1(X2)|~v1_group_1(X2)|~l1_group_1(X2)),inference(csr,[status(thm)],[1014,1157])).
% cnf(7392,plain,(m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))|v1_xboole_0(u1_struct_0(X2))|~m1_subset_1(X1,k4_autgroup(X2))|~v4_group_1(X2)|~v3_group_1(X2)|~v1_group_1(X2)|~l1_group_1(X2)),inference(csr,[status(thm)],[1024,1157])).
% cnf(7393,plain,(r1_tarski(X1,k1_funct_2(u1_struct_0(X2),u1_struct_0(X2)))|v1_xboole_0(u1_struct_0(X2))|~v1_funct_2(esk5_2(X1,k1_funct_2(u1_struct_0(X2),u1_struct_0(X2))),u1_struct_0(X2),u1_struct_0(X2))|~v1_funct_1(esk5_2(X1,k1_funct_2(u1_struct_0(X2),u1_struct_0(X2))))|~m1_subset_1(esk5_2(X1,k1_funct_2(u1_struct_0(X2),u1_struct_0(X2))),k4_autgroup(X2))|~v4_group_1(X2)|~v3_group_1(X2)|~v1_group_1(X2)|~l1_group_1(X2)),inference(spm,[status(thm)],[420,7392,theory(equality)])).
% cnf(7900,plain,(v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))|v1_xboole_0(u1_struct_0(X2))|~m1_subset_1(X1,k4_autgroup(X2))|~v4_group_1(X2)|~v3_group_1(X2)|~v1_group_1(X2)|~l1_group_1(X2)),inference(csr,[status(thm)],[1055,1157])).
% cnf(417569,plain,(v1_xboole_0(u1_struct_0(X2))|r1_tarski(X1,k1_funct_2(u1_struct_0(X2),u1_struct_0(X2)))|~v1_funct_2(esk5_2(X1,k1_funct_2(u1_struct_0(X2),u1_struct_0(X2))),u1_struct_0(X2),u1_struct_0(X2))|~m1_subset_1(esk5_2(X1,k1_funct_2(u1_struct_0(X2),u1_struct_0(X2))),k4_autgroup(X2))|~v4_group_1(X2)|~v3_group_1(X2)|~v1_group_1(X2)|~l1_group_1(X2)),inference(csr,[status(thm)],[7393,1236])).
% cnf(417570,plain,(v1_xboole_0(u1_struct_0(X2))|r1_tarski(X1,k1_funct_2(u1_struct_0(X2),u1_struct_0(X2)))|~m1_subset_1(esk5_2(X1,k1_funct_2(u1_struct_0(X2),u1_struct_0(X2))),k4_autgroup(X2))|~v4_group_1(X2)|~v3_group_1(X2)|~v1_group_1(X2)|~l1_group_1(X2)),inference(csr,[status(thm)],[417569,7900])).
% cnf(417818,plain,(v1_xboole_0(u1_struct_0(X1))|r1_tarski(k4_autgroup(X1),k1_funct_2(u1_struct_0(X1),u1_struct_0(X1)))|~v4_group_1(X1)|~v3_group_1(X1)|~v1_group_1(X1)|~l1_group_1(X1)),inference(spm,[status(thm)],[417570,392,theory(equality)])).
% cnf(417910,negated_conjecture,(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)],[380,417818,theory(equality)])).
% cnf(418121,negated_conjecture,(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)],[417910,353,theory(equality)])).
% cnf(418122,negated_conjecture,(v1_xboole_0(u1_struct_0(esk23_0))|$false|$false|~v1_group_1(esk23_0)|~l1_group_1(esk23_0)),inference(rw,[status(thm)],[418121,354,theory(equality)])).
% cnf(418123,negated_conjecture,(v1_xboole_0(u1_struct_0(esk23_0))|$false|$false|$false|~l1_group_1(esk23_0)),inference(rw,[status(thm)],[418122,355,theory(equality)])).
% cnf(418124,negated_conjecture,(v1_xboole_0(u1_struct_0(esk23_0))|$false|$false|$false|$false),inference(rw,[status(thm)],[418123,352,theory(equality)])).
% cnf(418125,negated_conjecture,(v1_xboole_0(u1_struct_0(esk23_0))),inference(cn,[status(thm)],[418124,theory(equality)])).
% cnf(418126,negated_conjecture,($false),inference(sr,[status(thm)],[418125,465,theory(equality)])).
% cnf(418127,negated_conjecture,($false),418126,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 26759
% # ...of these trivial : 54
% # ...subsumed : 23196
% # ...remaining for further processing: 3509
% # Other redundant clauses eliminated : 12
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 168
% # Backward-rewritten : 94
% # Generated clauses : 318440
% # ...of the previous two non-trivial : 286388
% # Contextual simplify-reflections : 30781
% # Paramodulations : 318275
% # Factorizations : 0
% # Equation resolutions : 57
% # Current number of processed clauses: 3108
% # Positive orientable unit clauses: 127
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 48
% # Non-unit-clauses : 2933
% # Current number of unprocessed clauses: 245373
% # ...number of literals in the above : 1270025
% # Clause-clause subsumption calls (NU) : 625314
% # Rec. Clause-clause subsumption calls : 425356
% # Unit Clause-clause subsumption calls : 43336
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 986
% # Indexed BW rewrite successes : 48
% # Backwards rewriting index: 1045 leaves, 2.45+/-6.069 terms/leaf
% # Paramod-from index: 482 leaves, 2.10+/-4.906 terms/leaf
% # Paramod-into index: 905 leaves, 2.34+/-5.606 terms/leaf
% # -------------------------------------------------
% # User time : 11.966 s
% # System time : 0.358 s
% # Total time : 12.324 s
% # Maximum resident set size: 0 pages
% PrfWatch: 17.19 CPU 17.38 WC
% FINAL PrfWatch: 17.19 CPU 17.38 WC
% SZS output end Solution for /tmp/SystemOnTPTP3176/GRP622+1.tptp
%
%------------------------------------------------------------------------------