TSTP Solution File: LAT359+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : LAT359+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 : art09.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 12:19:49 EST 2010
% Result : Theorem 1.41s
% Output : Solution 1.41s
% 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/SystemOnTPTP30909/LAT359+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP30909/LAT359+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP30909/LAT359+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 31005
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.019 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(3, axiom,![X1]:?[X2]:m1_subset_1(X2,X1),file('/tmp/SRASS.s.p', existence_m1_subset_1)).
% fof(4, axiom,![X1]:![X2]:(r2_hidden(X1,X2)=>m1_subset_1(X1,X2)),file('/tmp/SRASS.s.p', t1_subset)).
% fof(5, axiom,![X1]:(l1_altcat_1(X1)=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k1_altcat_1(X1,X2,X3)=k1_binop_1(u1_altcat_1(X1),X2,X3)))),file('/tmp/SRASS.s.p', d2_altcat_1)).
% fof(6, axiom,![X1]:![X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_hidden(X1,X2))),file('/tmp/SRASS.s.p', t2_subset)).
% fof(7, axiom,![X1]:![X2]:~((r2_hidden(X1,X2)&v1_xboole_0(X2))),file('/tmp/SRASS.s.p', t7_boole)).
% fof(10, axiom,![X1]:(l2_altcat_1(X1)=>l1_altcat_1(X1)),file('/tmp/SRASS.s.p', dt_l2_altcat_1)).
% fof(12, axiom,![X1]:![X2]:k2_tarski(X1,X2)=k2_tarski(X2,X1),file('/tmp/SRASS.s.p', commutativity_k2_tarski)).
% fof(16, axiom,![X1]:(l1_altcat_1(X1)=>m1_pboole(u1_altcat_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))),file('/tmp/SRASS.s.p', dt_u1_altcat_1)).
% fof(18, axiom,![X1]:((v1_relat_1(X1)&v1_funct_1(X1))=>![X2]:![X3]:k1_binop_1(X1,X2,X3)=k1_funct_1(X1,k4_tarski(X2,X3))),file('/tmp/SRASS.s.p', d1_binop_1)).
% fof(21, axiom,![X1]:![X2]:![X3]:![X4]:(r2_hidden(k4_tarski(X1,X2),k2_zfmisc_1(X3,X4))<=>(r2_hidden(X1,X3)&r2_hidden(X2,X4))),file('/tmp/SRASS.s.p', t106_zfmisc_1)).
% fof(24, axiom,![X1]:(v1_xboole_0(X1)=>X1=k1_xboole_0),file('/tmp/SRASS.s.p', t6_boole)).
% fof(25, axiom,![X1]:![X2]:((v1_relat_1(X2)&v1_funct_1(X2))=>(m1_pboole(X2,X1)<=>k1_relat_1(X2)=X1)),file('/tmp/SRASS.s.p', d3_pboole)).
% fof(28, axiom,![X1]:![X2]:k4_tarski(X1,X2)=k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),file('/tmp/SRASS.s.p', d5_tarski)).
% fof(31, axiom,![X1]:((v1_relat_1(X1)&v1_funct_1(X1))=>![X2]:![X3]:((r2_hidden(X2,k1_relat_1(X1))=>(X3=k1_funct_1(X1,X2)<=>r2_hidden(k4_tarski(X2,X3),X1)))&(~(r2_hidden(X2,k1_relat_1(X1)))=>(X3=k1_funct_1(X1,X2)<=>X3=k1_xboole_0)))),file('/tmp/SRASS.s.p', d4_funct_1)).
% fof(32, axiom,![X1]:(v1_xboole_0(X1)=>v1_funct_1(X1)),file('/tmp/SRASS.s.p', cc1_funct_1)).
% fof(37, axiom,?[X1]:((v1_relat_1(X1)&v1_xboole_0(X1))&v1_funct_1(X1)),file('/tmp/SRASS.s.p', rc2_funct_1)).
% fof(40, axiom,![X1]:![X2]:(m1_pboole(X2,X1)=>(v1_relat_1(X2)&v1_funct_1(X2))),file('/tmp/SRASS.s.p', dt_m1_pboole)).
% fof(58, axiom,(((((v1_xboole_0(k1_xboole_0)&v1_membered(k1_xboole_0))&v2_membered(k1_xboole_0))&v3_membered(k1_xboole_0))&v4_membered(k1_xboole_0))&v5_membered(k1_xboole_0)),file('/tmp/SRASS.s.p', fc6_membered)).
% fof(73, conjecture,![X1]:((~(v3_struct_0(X1))&l2_altcat_1(X1))=>![X2]:![X3]:![X4]:~((r2_hidden(X4,k1_binop_1(u1_altcat_1(X1),X2,X3))&![X5]:(m1_subset_1(X5,u1_struct_0(X1))=>![X6]:(m1_subset_1(X6,u1_struct_0(X1))=>~((((X5=X2&X6=X3)&r2_hidden(X4,k1_altcat_1(X1,X5,X6)))&m1_subset_1(X4,k1_altcat_1(X1,X5,X6))))))))),file('/tmp/SRASS.s.p', t12_waybel34)).
% fof(74, negated_conjecture,~(![X1]:((~(v3_struct_0(X1))&l2_altcat_1(X1))=>![X2]:![X3]:![X4]:~((r2_hidden(X4,k1_binop_1(u1_altcat_1(X1),X2,X3))&![X5]:(m1_subset_1(X5,u1_struct_0(X1))=>![X6]:(m1_subset_1(X6,u1_struct_0(X1))=>~((((X5=X2&X6=X3)&r2_hidden(X4,k1_altcat_1(X1,X5,X6)))&m1_subset_1(X4,k1_altcat_1(X1,X5,X6)))))))))),inference(assume_negation,[status(cth)],[73])).
% fof(80, plain,![X1]:((v1_relat_1(X1)&v1_funct_1(X1))=>![X2]:![X3]:((r2_hidden(X2,k1_relat_1(X1))=>(X3=k1_funct_1(X1,X2)<=>r2_hidden(k4_tarski(X2,X3),X1)))&(~(r2_hidden(X2,k1_relat_1(X1)))=>(X3=k1_funct_1(X1,X2)<=>X3=k1_xboole_0)))),inference(fof_simplification,[status(thm)],[31,theory(equality)])).
% fof(87, negated_conjecture,~(![X1]:((~(v3_struct_0(X1))&l2_altcat_1(X1))=>![X2]:![X3]:![X4]:~((r2_hidden(X4,k1_binop_1(u1_altcat_1(X1),X2,X3))&![X5]:(m1_subset_1(X5,u1_struct_0(X1))=>![X6]:(m1_subset_1(X6,u1_struct_0(X1))=>~((((X5=X2&X6=X3)&r2_hidden(X4,k1_altcat_1(X1,X5,X6)))&m1_subset_1(X4,k1_altcat_1(X1,X5,X6)))))))))),inference(fof_simplification,[status(thm)],[74,theory(equality)])).
% fof(94, plain,![X3]:?[X4]:m1_subset_1(X4,X3),inference(variable_rename,[status(thm)],[3])).
% fof(95, plain,![X3]:m1_subset_1(esk2_1(X3),X3),inference(skolemize,[status(esa)],[94])).
% cnf(96,plain,(m1_subset_1(esk2_1(X1),X1)),inference(split_conjunct,[status(thm)],[95])).
% fof(97, plain,![X1]:![X2]:(~(r2_hidden(X1,X2))|m1_subset_1(X1,X2)),inference(fof_nnf,[status(thm)],[4])).
% fof(98, plain,![X3]:![X4]:(~(r2_hidden(X3,X4))|m1_subset_1(X3,X4)),inference(variable_rename,[status(thm)],[97])).
% cnf(99,plain,(m1_subset_1(X1,X2)|~r2_hidden(X1,X2)),inference(split_conjunct,[status(thm)],[98])).
% fof(100, plain,![X1]:(~(l1_altcat_1(X1))|![X2]:(~(m1_subset_1(X2,u1_struct_0(X1)))|![X3]:(~(m1_subset_1(X3,u1_struct_0(X1)))|k1_altcat_1(X1,X2,X3)=k1_binop_1(u1_altcat_1(X1),X2,X3)))),inference(fof_nnf,[status(thm)],[5])).
% fof(101, plain,![X4]:(~(l1_altcat_1(X4))|![X5]:(~(m1_subset_1(X5,u1_struct_0(X4)))|![X6]:(~(m1_subset_1(X6,u1_struct_0(X4)))|k1_altcat_1(X4,X5,X6)=k1_binop_1(u1_altcat_1(X4),X5,X6)))),inference(variable_rename,[status(thm)],[100])).
% fof(102, plain,![X4]:![X5]:![X6]:(((~(m1_subset_1(X6,u1_struct_0(X4)))|k1_altcat_1(X4,X5,X6)=k1_binop_1(u1_altcat_1(X4),X5,X6))|~(m1_subset_1(X5,u1_struct_0(X4))))|~(l1_altcat_1(X4))),inference(shift_quantors,[status(thm)],[101])).
% cnf(103,plain,(k1_altcat_1(X1,X2,X3)=k1_binop_1(u1_altcat_1(X1),X2,X3)|~l1_altcat_1(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))),inference(split_conjunct,[status(thm)],[102])).
% fof(104, plain,![X1]:![X2]:(~(m1_subset_1(X1,X2))|(v1_xboole_0(X2)|r2_hidden(X1,X2))),inference(fof_nnf,[status(thm)],[6])).
% fof(105, plain,![X3]:![X4]:(~(m1_subset_1(X3,X4))|(v1_xboole_0(X4)|r2_hidden(X3,X4))),inference(variable_rename,[status(thm)],[104])).
% cnf(106,plain,(r2_hidden(X1,X2)|v1_xboole_0(X2)|~m1_subset_1(X1,X2)),inference(split_conjunct,[status(thm)],[105])).
% fof(107, plain,![X1]:![X2]:(~(r2_hidden(X1,X2))|~(v1_xboole_0(X2))),inference(fof_nnf,[status(thm)],[7])).
% fof(108, plain,![X3]:![X4]:(~(r2_hidden(X3,X4))|~(v1_xboole_0(X4))),inference(variable_rename,[status(thm)],[107])).
% cnf(109,plain,(~v1_xboole_0(X1)|~r2_hidden(X2,X1)),inference(split_conjunct,[status(thm)],[108])).
% fof(116, plain,![X1]:(~(l2_altcat_1(X1))|l1_altcat_1(X1)),inference(fof_nnf,[status(thm)],[10])).
% fof(117, plain,![X2]:(~(l2_altcat_1(X2))|l1_altcat_1(X2)),inference(variable_rename,[status(thm)],[116])).
% cnf(118,plain,(l1_altcat_1(X1)|~l2_altcat_1(X1)),inference(split_conjunct,[status(thm)],[117])).
% fof(123, plain,![X3]:![X4]:k2_tarski(X3,X4)=k2_tarski(X4,X3),inference(variable_rename,[status(thm)],[12])).
% cnf(124,plain,(k2_tarski(X1,X2)=k2_tarski(X2,X1)),inference(split_conjunct,[status(thm)],[123])).
% fof(134, plain,![X1]:(~(l1_altcat_1(X1))|m1_pboole(u1_altcat_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))),inference(fof_nnf,[status(thm)],[16])).
% fof(135, plain,![X2]:(~(l1_altcat_1(X2))|m1_pboole(u1_altcat_1(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)))),inference(variable_rename,[status(thm)],[134])).
% cnf(136,plain,(m1_pboole(u1_altcat_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))|~l1_altcat_1(X1)),inference(split_conjunct,[status(thm)],[135])).
% fof(141, plain,![X1]:((~(v1_relat_1(X1))|~(v1_funct_1(X1)))|![X2]:![X3]:k1_binop_1(X1,X2,X3)=k1_funct_1(X1,k4_tarski(X2,X3))),inference(fof_nnf,[status(thm)],[18])).
% fof(142, plain,![X4]:((~(v1_relat_1(X4))|~(v1_funct_1(X4)))|![X5]:![X6]:k1_binop_1(X4,X5,X6)=k1_funct_1(X4,k4_tarski(X5,X6))),inference(variable_rename,[status(thm)],[141])).
% fof(143, plain,![X4]:![X5]:![X6]:(k1_binop_1(X4,X5,X6)=k1_funct_1(X4,k4_tarski(X5,X6))|(~(v1_relat_1(X4))|~(v1_funct_1(X4)))),inference(shift_quantors,[status(thm)],[142])).
% cnf(144,plain,(k1_binop_1(X1,X2,X3)=k1_funct_1(X1,k4_tarski(X2,X3))|~v1_funct_1(X1)|~v1_relat_1(X1)),inference(split_conjunct,[status(thm)],[143])).
% fof(152, plain,![X1]:![X2]:![X3]:![X4]:((~(r2_hidden(k4_tarski(X1,X2),k2_zfmisc_1(X3,X4)))|(r2_hidden(X1,X3)&r2_hidden(X2,X4)))&((~(r2_hidden(X1,X3))|~(r2_hidden(X2,X4)))|r2_hidden(k4_tarski(X1,X2),k2_zfmisc_1(X3,X4)))),inference(fof_nnf,[status(thm)],[21])).
% fof(153, plain,![X5]:![X6]:![X7]:![X8]:((~(r2_hidden(k4_tarski(X5,X6),k2_zfmisc_1(X7,X8)))|(r2_hidden(X5,X7)&r2_hidden(X6,X8)))&((~(r2_hidden(X5,X7))|~(r2_hidden(X6,X8)))|r2_hidden(k4_tarski(X5,X6),k2_zfmisc_1(X7,X8)))),inference(variable_rename,[status(thm)],[152])).
% fof(154, plain,![X5]:![X6]:![X7]:![X8]:(((r2_hidden(X5,X7)|~(r2_hidden(k4_tarski(X5,X6),k2_zfmisc_1(X7,X8))))&(r2_hidden(X6,X8)|~(r2_hidden(k4_tarski(X5,X6),k2_zfmisc_1(X7,X8)))))&((~(r2_hidden(X5,X7))|~(r2_hidden(X6,X8)))|r2_hidden(k4_tarski(X5,X6),k2_zfmisc_1(X7,X8)))),inference(distribute,[status(thm)],[153])).
% cnf(156,plain,(r2_hidden(X2,X4)|~r2_hidden(k4_tarski(X1,X2),k2_zfmisc_1(X3,X4))),inference(split_conjunct,[status(thm)],[154])).
% cnf(157,plain,(r2_hidden(X1,X3)|~r2_hidden(k4_tarski(X1,X2),k2_zfmisc_1(X3,X4))),inference(split_conjunct,[status(thm)],[154])).
% fof(167, plain,![X1]:(~(v1_xboole_0(X1))|X1=k1_xboole_0),inference(fof_nnf,[status(thm)],[24])).
% fof(168, plain,![X2]:(~(v1_xboole_0(X2))|X2=k1_xboole_0),inference(variable_rename,[status(thm)],[167])).
% cnf(169,plain,(X1=k1_xboole_0|~v1_xboole_0(X1)),inference(split_conjunct,[status(thm)],[168])).
% fof(170, plain,![X1]:![X2]:((~(v1_relat_1(X2))|~(v1_funct_1(X2)))|((~(m1_pboole(X2,X1))|k1_relat_1(X2)=X1)&(~(k1_relat_1(X2)=X1)|m1_pboole(X2,X1)))),inference(fof_nnf,[status(thm)],[25])).
% fof(171, plain,![X3]:![X4]:((~(v1_relat_1(X4))|~(v1_funct_1(X4)))|((~(m1_pboole(X4,X3))|k1_relat_1(X4)=X3)&(~(k1_relat_1(X4)=X3)|m1_pboole(X4,X3)))),inference(variable_rename,[status(thm)],[170])).
% fof(172, plain,![X3]:![X4]:(((~(m1_pboole(X4,X3))|k1_relat_1(X4)=X3)|(~(v1_relat_1(X4))|~(v1_funct_1(X4))))&((~(k1_relat_1(X4)=X3)|m1_pboole(X4,X3))|(~(v1_relat_1(X4))|~(v1_funct_1(X4))))),inference(distribute,[status(thm)],[171])).
% cnf(174,plain,(k1_relat_1(X1)=X2|~v1_funct_1(X1)|~v1_relat_1(X1)|~m1_pboole(X1,X2)),inference(split_conjunct,[status(thm)],[172])).
% fof(184, plain,![X3]:![X4]:k4_tarski(X3,X4)=k2_tarski(k2_tarski(X3,X4),k1_tarski(X3)),inference(variable_rename,[status(thm)],[28])).
% cnf(185,plain,(k4_tarski(X1,X2)=k2_tarski(k2_tarski(X1,X2),k1_tarski(X1))),inference(split_conjunct,[status(thm)],[184])).
% fof(192, plain,![X1]:((~(v1_relat_1(X1))|~(v1_funct_1(X1)))|![X2]:![X3]:((~(r2_hidden(X2,k1_relat_1(X1)))|((~(X3=k1_funct_1(X1,X2))|r2_hidden(k4_tarski(X2,X3),X1))&(~(r2_hidden(k4_tarski(X2,X3),X1))|X3=k1_funct_1(X1,X2))))&(r2_hidden(X2,k1_relat_1(X1))|((~(X3=k1_funct_1(X1,X2))|X3=k1_xboole_0)&(~(X3=k1_xboole_0)|X3=k1_funct_1(X1,X2)))))),inference(fof_nnf,[status(thm)],[80])).
% fof(193, plain,![X4]:((~(v1_relat_1(X4))|~(v1_funct_1(X4)))|![X5]:![X6]:((~(r2_hidden(X5,k1_relat_1(X4)))|((~(X6=k1_funct_1(X4,X5))|r2_hidden(k4_tarski(X5,X6),X4))&(~(r2_hidden(k4_tarski(X5,X6),X4))|X6=k1_funct_1(X4,X5))))&(r2_hidden(X5,k1_relat_1(X4))|((~(X6=k1_funct_1(X4,X5))|X6=k1_xboole_0)&(~(X6=k1_xboole_0)|X6=k1_funct_1(X4,X5)))))),inference(variable_rename,[status(thm)],[192])).
% fof(194, plain,![X4]:![X5]:![X6]:(((~(r2_hidden(X5,k1_relat_1(X4)))|((~(X6=k1_funct_1(X4,X5))|r2_hidden(k4_tarski(X5,X6),X4))&(~(r2_hidden(k4_tarski(X5,X6),X4))|X6=k1_funct_1(X4,X5))))&(r2_hidden(X5,k1_relat_1(X4))|((~(X6=k1_funct_1(X4,X5))|X6=k1_xboole_0)&(~(X6=k1_xboole_0)|X6=k1_funct_1(X4,X5)))))|(~(v1_relat_1(X4))|~(v1_funct_1(X4)))),inference(shift_quantors,[status(thm)],[193])).
% fof(195, plain,![X4]:![X5]:![X6]:(((((~(X6=k1_funct_1(X4,X5))|r2_hidden(k4_tarski(X5,X6),X4))|~(r2_hidden(X5,k1_relat_1(X4))))|(~(v1_relat_1(X4))|~(v1_funct_1(X4))))&(((~(r2_hidden(k4_tarski(X5,X6),X4))|X6=k1_funct_1(X4,X5))|~(r2_hidden(X5,k1_relat_1(X4))))|(~(v1_relat_1(X4))|~(v1_funct_1(X4)))))&((((~(X6=k1_funct_1(X4,X5))|X6=k1_xboole_0)|r2_hidden(X5,k1_relat_1(X4)))|(~(v1_relat_1(X4))|~(v1_funct_1(X4))))&(((~(X6=k1_xboole_0)|X6=k1_funct_1(X4,X5))|r2_hidden(X5,k1_relat_1(X4)))|(~(v1_relat_1(X4))|~(v1_funct_1(X4)))))),inference(distribute,[status(thm)],[194])).
% cnf(196,plain,(r2_hidden(X2,k1_relat_1(X1))|X3=k1_funct_1(X1,X2)|~v1_funct_1(X1)|~v1_relat_1(X1)|X3!=k1_xboole_0),inference(split_conjunct,[status(thm)],[195])).
% cnf(197,plain,(r2_hidden(X2,k1_relat_1(X1))|X3=k1_xboole_0|~v1_funct_1(X1)|~v1_relat_1(X1)|X3!=k1_funct_1(X1,X2)),inference(split_conjunct,[status(thm)],[195])).
% cnf(199,plain,(r2_hidden(k4_tarski(X2,X3),X1)|~v1_funct_1(X1)|~v1_relat_1(X1)|~r2_hidden(X2,k1_relat_1(X1))|X3!=k1_funct_1(X1,X2)),inference(split_conjunct,[status(thm)],[195])).
% fof(200, plain,![X1]:(~(v1_xboole_0(X1))|v1_funct_1(X1)),inference(fof_nnf,[status(thm)],[32])).
% fof(201, plain,![X2]:(~(v1_xboole_0(X2))|v1_funct_1(X2)),inference(variable_rename,[status(thm)],[200])).
% cnf(202,plain,(v1_funct_1(X1)|~v1_xboole_0(X1)),inference(split_conjunct,[status(thm)],[201])).
% fof(220, plain,?[X2]:((v1_relat_1(X2)&v1_xboole_0(X2))&v1_funct_1(X2)),inference(variable_rename,[status(thm)],[37])).
% fof(221, plain,((v1_relat_1(esk10_0)&v1_xboole_0(esk10_0))&v1_funct_1(esk10_0)),inference(skolemize,[status(esa)],[220])).
% cnf(222,plain,(v1_funct_1(esk10_0)),inference(split_conjunct,[status(thm)],[221])).
% cnf(223,plain,(v1_xboole_0(esk10_0)),inference(split_conjunct,[status(thm)],[221])).
% cnf(224,plain,(v1_relat_1(esk10_0)),inference(split_conjunct,[status(thm)],[221])).
% fof(235, plain,![X1]:![X2]:(~(m1_pboole(X2,X1))|(v1_relat_1(X2)&v1_funct_1(X2))),inference(fof_nnf,[status(thm)],[40])).
% fof(236, plain,![X3]:![X4]:(~(m1_pboole(X4,X3))|(v1_relat_1(X4)&v1_funct_1(X4))),inference(variable_rename,[status(thm)],[235])).
% fof(237, plain,![X3]:![X4]:((v1_relat_1(X4)|~(m1_pboole(X4,X3)))&(v1_funct_1(X4)|~(m1_pboole(X4,X3)))),inference(distribute,[status(thm)],[236])).
% cnf(238,plain,(v1_funct_1(X1)|~m1_pboole(X1,X2)),inference(split_conjunct,[status(thm)],[237])).
% cnf(239,plain,(v1_relat_1(X1)|~m1_pboole(X1,X2)),inference(split_conjunct,[status(thm)],[237])).
% cnf(339,plain,(v1_xboole_0(k1_xboole_0)),inference(split_conjunct,[status(thm)],[58])).
% fof(368, negated_conjecture,?[X1]:((~(v3_struct_0(X1))&l2_altcat_1(X1))&?[X2]:?[X3]:?[X4]:(r2_hidden(X4,k1_binop_1(u1_altcat_1(X1),X2,X3))&![X5]:(~(m1_subset_1(X5,u1_struct_0(X1)))|![X6]:(~(m1_subset_1(X6,u1_struct_0(X1)))|(((~(X5=X2)|~(X6=X3))|~(r2_hidden(X4,k1_altcat_1(X1,X5,X6))))|~(m1_subset_1(X4,k1_altcat_1(X1,X5,X6)))))))),inference(fof_nnf,[status(thm)],[87])).
% fof(369, negated_conjecture,?[X7]:((~(v3_struct_0(X7))&l2_altcat_1(X7))&?[X8]:?[X9]:?[X10]:(r2_hidden(X10,k1_binop_1(u1_altcat_1(X7),X8,X9))&![X11]:(~(m1_subset_1(X11,u1_struct_0(X7)))|![X12]:(~(m1_subset_1(X12,u1_struct_0(X7)))|(((~(X11=X8)|~(X12=X9))|~(r2_hidden(X10,k1_altcat_1(X7,X11,X12))))|~(m1_subset_1(X10,k1_altcat_1(X7,X11,X12)))))))),inference(variable_rename,[status(thm)],[368])).
% fof(370, negated_conjecture,((~(v3_struct_0(esk13_0))&l2_altcat_1(esk13_0))&(r2_hidden(esk16_0,k1_binop_1(u1_altcat_1(esk13_0),esk14_0,esk15_0))&![X11]:(~(m1_subset_1(X11,u1_struct_0(esk13_0)))|![X12]:(~(m1_subset_1(X12,u1_struct_0(esk13_0)))|(((~(X11=esk14_0)|~(X12=esk15_0))|~(r2_hidden(esk16_0,k1_altcat_1(esk13_0,X11,X12))))|~(m1_subset_1(esk16_0,k1_altcat_1(esk13_0,X11,X12)))))))),inference(skolemize,[status(esa)],[369])).
% fof(371, negated_conjecture,![X11]:![X12]:((((~(m1_subset_1(X12,u1_struct_0(esk13_0)))|(((~(X11=esk14_0)|~(X12=esk15_0))|~(r2_hidden(esk16_0,k1_altcat_1(esk13_0,X11,X12))))|~(m1_subset_1(esk16_0,k1_altcat_1(esk13_0,X11,X12)))))|~(m1_subset_1(X11,u1_struct_0(esk13_0))))&r2_hidden(esk16_0,k1_binop_1(u1_altcat_1(esk13_0),esk14_0,esk15_0)))&(~(v3_struct_0(esk13_0))&l2_altcat_1(esk13_0))),inference(shift_quantors,[status(thm)],[370])).
% cnf(372,negated_conjecture,(l2_altcat_1(esk13_0)),inference(split_conjunct,[status(thm)],[371])).
% cnf(374,negated_conjecture,(r2_hidden(esk16_0,k1_binop_1(u1_altcat_1(esk13_0),esk14_0,esk15_0))),inference(split_conjunct,[status(thm)],[371])).
% cnf(375,negated_conjecture,(~m1_subset_1(X1,u1_struct_0(esk13_0))|~m1_subset_1(esk16_0,k1_altcat_1(esk13_0,X1,X2))|~r2_hidden(esk16_0,k1_altcat_1(esk13_0,X1,X2))|X2!=esk15_0|X1!=esk14_0|~m1_subset_1(X2,u1_struct_0(esk13_0))),inference(split_conjunct,[status(thm)],[371])).
% cnf(376,plain,(r2_hidden(X2,X4)|~r2_hidden(k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),k2_zfmisc_1(X3,X4))),inference(rw,[status(thm)],[156,185,theory(equality)]),['unfolding']).
% cnf(377,plain,(r2_hidden(X1,X3)|~r2_hidden(k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),k2_zfmisc_1(X3,X4))),inference(rw,[status(thm)],[157,185,theory(equality)]),['unfolding']).
% cnf(378,plain,(k1_funct_1(X1,k2_tarski(k2_tarski(X2,X3),k1_tarski(X2)))=k1_binop_1(X1,X2,X3)|~v1_relat_1(X1)|~v1_funct_1(X1)),inference(rw,[status(thm)],[144,185,theory(equality)]),['unfolding']).
% cnf(381,plain,(r2_hidden(k2_tarski(k2_tarski(X2,X3),k1_tarski(X2)),X1)|k1_funct_1(X1,X2)!=X3|~v1_relat_1(X1)|~v1_funct_1(X1)|~r2_hidden(X2,k1_relat_1(X1))),inference(rw,[status(thm)],[199,185,theory(equality)]),['unfolding']).
% cnf(383,plain,(k1_relat_1(X1)=X2|~v1_relat_1(X1)|~m1_pboole(X1,X2)),inference(csr,[status(thm)],[174,238])).
% cnf(384,plain,(k1_relat_1(X1)=X2|~m1_pboole(X1,X2)),inference(csr,[status(thm)],[383,239])).
% cnf(385,plain,(r2_hidden(X2,X4)|~r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)),k2_zfmisc_1(X3,X4))),inference(rw,[status(thm)],[376,124,theory(equality)])).
% cnf(386,plain,(r2_hidden(X1,X3)|~r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)),k2_zfmisc_1(X3,X4))),inference(rw,[status(thm)],[377,124,theory(equality)])).
% cnf(388,plain,(k1_funct_1(X1,k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)))=k1_binop_1(X1,X2,X3)|~v1_relat_1(X1)|~v1_funct_1(X1)),inference(rw,[status(thm)],[378,124,theory(equality)])).
% cnf(389,plain,(r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)),X1)|k1_funct_1(X1,X2)!=X3|~v1_relat_1(X1)|~v1_funct_1(X1)|~r2_hidden(X2,k1_relat_1(X1))),inference(rw,[status(thm)],[381,124,theory(equality)])).
% cnf(391,negated_conjecture,(esk14_0!=X1|esk15_0!=X2|~m1_subset_1(X2,u1_struct_0(esk13_0))|~m1_subset_1(X1,u1_struct_0(esk13_0))|~r2_hidden(esk16_0,k1_altcat_1(esk13_0,X1,X2))),inference(csr,[status(thm)],[375,99])).
% cnf(392,negated_conjecture,(l1_altcat_1(esk13_0)),inference(spm,[status(thm)],[118,372,theory(equality)])).
% cnf(394,negated_conjecture,(m1_subset_1(esk16_0,k1_binop_1(u1_altcat_1(esk13_0),esk14_0,esk15_0))),inference(spm,[status(thm)],[99,374,theory(equality)])).
% cnf(395,plain,(k1_xboole_0=esk10_0),inference(spm,[status(thm)],[169,223,theory(equality)])).
% cnf(396,negated_conjecture,(~v1_xboole_0(k1_binop_1(u1_altcat_1(esk13_0),esk14_0,esk15_0))),inference(spm,[status(thm)],[109,374,theory(equality)])).
% cnf(464,plain,(v1_relat_1(u1_altcat_1(X1))|~l1_altcat_1(X1)),inference(spm,[status(thm)],[239,136,theory(equality)])).
% cnf(465,plain,(v1_funct_1(u1_altcat_1(X1))|~l1_altcat_1(X1)),inference(spm,[status(thm)],[238,136,theory(equality)])).
% cnf(466,plain,(k1_relat_1(u1_altcat_1(X1))=k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))|~l1_altcat_1(X1)),inference(spm,[status(thm)],[384,136,theory(equality)])).
% cnf(510,plain,(k1_funct_1(X1,X2)=k1_xboole_0|r2_hidden(X2,k1_relat_1(X1))|~v1_funct_1(X1)|~v1_relat_1(X1)),inference(er,[status(thm)],[196,theory(equality)])).
% cnf(511,negated_conjecture,(v1_xboole_0(k1_altcat_1(esk13_0,X1,X2))|esk14_0!=X1|esk15_0!=X2|~m1_subset_1(X2,u1_struct_0(esk13_0))|~m1_subset_1(X1,u1_struct_0(esk13_0))|~m1_subset_1(esk16_0,k1_altcat_1(esk13_0,X1,X2))),inference(spm,[status(thm)],[391,106,theory(equality)])).
% cnf(523,plain,(k1_xboole_0=X1|r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)),k1_relat_1(X4))|k1_binop_1(X4,X2,X3)!=X1|~v1_funct_1(X4)|~v1_relat_1(X4)),inference(spm,[status(thm)],[197,388,theory(equality)])).
% cnf(526,plain,(~v1_xboole_0(X1)|k1_funct_1(X1,X2)!=X3|~v1_funct_1(X1)|~v1_relat_1(X1)|~r2_hidden(X2,k1_relat_1(X1))),inference(spm,[status(thm)],[109,389,theory(equality)])).
% cnf(542,negated_conjecture,(~v1_xboole_0(k1_altcat_1(esk13_0,esk14_0,esk15_0))|~l1_altcat_1(esk13_0)|~m1_subset_1(esk15_0,u1_struct_0(esk13_0))|~m1_subset_1(esk14_0,u1_struct_0(esk13_0))),inference(spm,[status(thm)],[396,103,theory(equality)])).
% cnf(543,negated_conjecture,(~v1_xboole_0(k1_altcat_1(esk13_0,esk14_0,esk15_0))|$false|~m1_subset_1(esk15_0,u1_struct_0(esk13_0))|~m1_subset_1(esk14_0,u1_struct_0(esk13_0))),inference(rw,[status(thm)],[542,392,theory(equality)])).
% cnf(544,negated_conjecture,(~v1_xboole_0(k1_altcat_1(esk13_0,esk14_0,esk15_0))|~m1_subset_1(esk15_0,u1_struct_0(esk13_0))|~m1_subset_1(esk14_0,u1_struct_0(esk13_0))),inference(cn,[status(thm)],[543,theory(equality)])).
% cnf(546,plain,(v1_relat_1(k1_xboole_0)),inference(rw,[status(thm)],[224,395,theory(equality)])).
% cnf(547,plain,(v1_funct_1(k1_xboole_0)),inference(rw,[status(thm)],[222,395,theory(equality)])).
% cnf(564,negated_conjecture,(m1_subset_1(esk16_0,k1_altcat_1(esk13_0,esk14_0,esk15_0))|~l1_altcat_1(esk13_0)|~m1_subset_1(esk15_0,u1_struct_0(esk13_0))|~m1_subset_1(esk14_0,u1_struct_0(esk13_0))),inference(spm,[status(thm)],[394,103,theory(equality)])).
% cnf(566,negated_conjecture,(m1_subset_1(esk16_0,k1_altcat_1(esk13_0,esk14_0,esk15_0))|$false|~m1_subset_1(esk15_0,u1_struct_0(esk13_0))|~m1_subset_1(esk14_0,u1_struct_0(esk13_0))),inference(rw,[status(thm)],[564,392,theory(equality)])).
% cnf(567,negated_conjecture,(m1_subset_1(esk16_0,k1_altcat_1(esk13_0,esk14_0,esk15_0))|~m1_subset_1(esk15_0,u1_struct_0(esk13_0))|~m1_subset_1(esk14_0,u1_struct_0(esk13_0))),inference(cn,[status(thm)],[566,theory(equality)])).
% cnf(606,negated_conjecture,(v1_xboole_0(k1_altcat_1(esk13_0,esk14_0,esk15_0))|~m1_subset_1(esk15_0,u1_struct_0(esk13_0))|~m1_subset_1(esk14_0,u1_struct_0(esk13_0))),inference(spm,[status(thm)],[511,567,theory(equality)])).
% cnf(607,negated_conjecture,(~m1_subset_1(esk15_0,u1_struct_0(esk13_0))|~m1_subset_1(esk14_0,u1_struct_0(esk13_0))),inference(csr,[status(thm)],[606,544])).
% cnf(620,plain,(k1_funct_1(X1,X2)!=X3|~v1_relat_1(X1)|~v1_xboole_0(X1)|~r2_hidden(X2,k1_relat_1(X1))),inference(csr,[status(thm)],[526,202])).
% cnf(623,plain,(v1_xboole_0(k1_relat_1(X1))|k1_funct_1(X1,X2)!=X3|~v1_relat_1(X1)|~v1_xboole_0(X1)|~m1_subset_1(X2,k1_relat_1(X1))),inference(spm,[status(thm)],[620,106,theory(equality)])).
% cnf(673,plain,(v1_xboole_0(k1_relat_1(X1))|k1_funct_1(X1,esk2_1(k1_relat_1(X1)))!=X2|~v1_relat_1(X1)|~v1_xboole_0(X1)),inference(spm,[status(thm)],[623,96,theory(equality)])).
% cnf(676,plain,(v1_xboole_0(k1_relat_1(X1))|~v1_relat_1(X1)|~v1_xboole_0(X1)),inference(er,[status(thm)],[673,theory(equality)])).
% cnf(692,plain,(k1_xboole_0=k1_relat_1(X1)|~v1_relat_1(X1)|~v1_xboole_0(X1)),inference(spm,[status(thm)],[169,676,theory(equality)])).
% cnf(698,plain,(k1_funct_1(X1,X2)!=X3|~v1_relat_1(X1)|~v1_xboole_0(X1)|~r2_hidden(X2,k1_xboole_0)),inference(spm,[status(thm)],[620,692,theory(equality)])).
% cnf(713,plain,(k1_funct_1(X1,k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)))!=X4|~v1_relat_1(X1)|~v1_xboole_0(X1)|k1_funct_1(k1_xboole_0,X2)!=X3|~v1_funct_1(k1_xboole_0)|~v1_relat_1(k1_xboole_0)|~r2_hidden(X2,k1_relat_1(k1_xboole_0))),inference(spm,[status(thm)],[698,389,theory(equality)])).
% cnf(715,plain,(k1_funct_1(X1,k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)))!=X4|~v1_relat_1(X1)|~v1_xboole_0(X1)|k1_funct_1(k1_xboole_0,X2)!=X3|$false|~v1_relat_1(k1_xboole_0)|~r2_hidden(X2,k1_relat_1(k1_xboole_0))),inference(rw,[status(thm)],[713,547,theory(equality)])).
% cnf(716,plain,(k1_funct_1(X1,k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)))!=X4|~v1_relat_1(X1)|~v1_xboole_0(X1)|k1_funct_1(k1_xboole_0,X2)!=X3|$false|$false|~r2_hidden(X2,k1_relat_1(k1_xboole_0))),inference(rw,[status(thm)],[715,546,theory(equality)])).
% cnf(717,plain,(k1_funct_1(X1,k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)))!=X4|~v1_relat_1(X1)|~v1_xboole_0(X1)|k1_funct_1(k1_xboole_0,X2)!=X3|~r2_hidden(X2,k1_relat_1(k1_xboole_0))),inference(cn,[status(thm)],[716,theory(equality)])).
% cnf(837,plain,(r2_hidden(X1,u1_struct_0(X2))|~r2_hidden(k2_tarski(k1_tarski(X3),k2_tarski(X3,X1)),k1_relat_1(u1_altcat_1(X2)))|~l1_altcat_1(X2)),inference(spm,[status(thm)],[385,466,theory(equality)])).
% cnf(838,plain,(r2_hidden(X1,u1_struct_0(X2))|~r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X1,X3)),k1_relat_1(u1_altcat_1(X2)))|~l1_altcat_1(X2)),inference(spm,[status(thm)],[386,466,theory(equality)])).
% cnf(1465,plain,(k1_xboole_0=k1_binop_1(X1,X2,X3)|r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(X2,X3)),k1_relat_1(X1))|~v1_funct_1(X1)|~v1_relat_1(X1)),inference(er,[status(thm)],[523,theory(equality)])).
% cnf(2044,plain,(k1_funct_1(k1_xboole_0,X1)!=X2|~v1_relat_1(X3)|~v1_xboole_0(X3)|~r2_hidden(X1,k1_relat_1(k1_xboole_0))),inference(er,[status(thm)],[717,theory(equality)])).
% fof(2083, plain,(~(epred1_0)<=>![X2]:![X1]:(~(k1_funct_1(k1_xboole_0,X1)=X2)|~(r2_hidden(X1,k1_relat_1(k1_xboole_0))))),introduced(definition),['split']).
% cnf(2084,plain,(epred1_0|~r2_hidden(X1,k1_relat_1(k1_xboole_0))|k1_funct_1(k1_xboole_0,X1)!=X2),inference(split_equiv,[status(thm)],[2083])).
% fof(2085, plain,(~(epred2_0)<=>![X3]:(~(v1_relat_1(X3))|~(v1_xboole_0(X3)))),introduced(definition),['split']).
% cnf(2086,plain,(epred2_0|~v1_xboole_0(X3)|~v1_relat_1(X3)),inference(split_equiv,[status(thm)],[2085])).
% cnf(2087,plain,(~epred2_0|~epred1_0),inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[2044,2083,theory(equality)]),2085,theory(equality)]),['split']).
% cnf(2091,plain,(epred2_0|~v1_xboole_0(k1_xboole_0)),inference(spm,[status(thm)],[2086,546,theory(equality)])).
% cnf(2093,plain,(epred2_0|$false),inference(rw,[status(thm)],[2091,339,theory(equality)])).
% cnf(2094,plain,(epred2_0),inference(cn,[status(thm)],[2093,theory(equality)])).
% cnf(2095,plain,($false|~epred1_0),inference(rw,[status(thm)],[2087,2094,theory(equality)])).
% cnf(2096,plain,(~epred1_0),inference(cn,[status(thm)],[2095,theory(equality)])).
% cnf(2099,plain,(epred1_0|k1_funct_1(k1_xboole_0,X1)!=X2|~r2_hidden(X1,k1_xboole_0)|~v1_relat_1(k1_xboole_0)|~v1_xboole_0(k1_xboole_0)),inference(spm,[status(thm)],[2084,692,theory(equality)])).
% cnf(2106,plain,(epred1_0|k1_funct_1(k1_xboole_0,X1)=k1_xboole_0|k1_funct_1(k1_xboole_0,X1)!=X2|~v1_funct_1(k1_xboole_0)|~v1_relat_1(k1_xboole_0)),inference(spm,[status(thm)],[2084,510,theory(equality)])).
% cnf(2110,plain,(epred1_0|k1_funct_1(k1_xboole_0,X1)!=X2|~r2_hidden(X1,k1_xboole_0)|$false|~v1_xboole_0(k1_xboole_0)),inference(rw,[status(thm)],[2099,546,theory(equality)])).
% cnf(2111,plain,(epred1_0|k1_funct_1(k1_xboole_0,X1)!=X2|~r2_hidden(X1,k1_xboole_0)|$false|$false),inference(rw,[status(thm)],[2110,339,theory(equality)])).
% cnf(2112,plain,(epred1_0|k1_funct_1(k1_xboole_0,X1)!=X2|~r2_hidden(X1,k1_xboole_0)),inference(cn,[status(thm)],[2111,theory(equality)])).
% cnf(2116,plain,(epred1_0|k1_funct_1(k1_xboole_0,X1)=k1_xboole_0|k1_funct_1(k1_xboole_0,X1)!=X2|$false|~v1_relat_1(k1_xboole_0)),inference(rw,[status(thm)],[2106,547,theory(equality)])).
% cnf(2117,plain,(epred1_0|k1_funct_1(k1_xboole_0,X1)=k1_xboole_0|k1_funct_1(k1_xboole_0,X1)!=X2|$false|$false),inference(rw,[status(thm)],[2116,546,theory(equality)])).
% cnf(2118,plain,(epred1_0|k1_funct_1(k1_xboole_0,X1)=k1_xboole_0|k1_funct_1(k1_xboole_0,X1)!=X2),inference(cn,[status(thm)],[2117,theory(equality)])).
% cnf(2119,plain,(epred1_0|~r2_hidden(X1,k1_xboole_0)),inference(er,[status(thm)],[2112,theory(equality)])).
% cnf(2201,plain,(epred1_0|k1_funct_1(k1_xboole_0,X1)!=X2|~v1_funct_1(k1_xboole_0)|~v1_relat_1(k1_xboole_0)|~r2_hidden(X1,k1_relat_1(k1_xboole_0))),inference(spm,[status(thm)],[2119,389,theory(equality)])).
% cnf(2205,plain,(epred1_0|k1_funct_1(k1_xboole_0,X1)!=X2|$false|~v1_relat_1(k1_xboole_0)|~r2_hidden(X1,k1_relat_1(k1_xboole_0))),inference(rw,[status(thm)],[2201,547,theory(equality)])).
% cnf(2206,plain,(epred1_0|k1_funct_1(k1_xboole_0,X1)!=X2|$false|$false|~r2_hidden(X1,k1_relat_1(k1_xboole_0))),inference(rw,[status(thm)],[2205,546,theory(equality)])).
% cnf(2207,plain,(epred1_0|k1_funct_1(k1_xboole_0,X1)!=X2|~r2_hidden(X1,k1_relat_1(k1_xboole_0))),inference(cn,[status(thm)],[2206,theory(equality)])).
% cnf(2223,plain,(k1_funct_1(k1_xboole_0,X1)=k1_xboole_0|k1_funct_1(k1_xboole_0,X1)!=X2),inference(sr,[status(thm)],[2118,2096,theory(equality)])).
% cnf(2224,plain,(k1_funct_1(k1_xboole_0,X1)=k1_xboole_0),inference(er,[status(thm)],[2223,theory(equality)])).
% cnf(2259,plain,(epred1_0|k1_xboole_0!=X2|~r2_hidden(X1,k1_relat_1(k1_xboole_0))),inference(rw,[status(thm)],[2207,2224,theory(equality)])).
% cnf(2260,plain,(k1_xboole_0!=X2|~r2_hidden(X1,k1_relat_1(k1_xboole_0))),inference(sr,[status(thm)],[2259,2096,theory(equality)])).
% fof(2261, plain,(~(epred3_0)<=>![X2]:~(k1_xboole_0=X2)),introduced(definition),['split']).
% cnf(2262,plain,(epred3_0|k1_xboole_0!=X2),inference(split_equiv,[status(thm)],[2261])).
% fof(2263, plain,(~(epred4_0)<=>![X1]:~(r2_hidden(X1,k1_relat_1(k1_xboole_0)))),introduced(definition),['split']).
% cnf(2264,plain,(epred4_0|~r2_hidden(X1,k1_relat_1(k1_xboole_0))),inference(split_equiv,[status(thm)],[2263])).
% cnf(2265,plain,(~epred4_0|~epred3_0),inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[2260,2261,theory(equality)]),2263,theory(equality)]),['split']).
% cnf(2314,plain,(epred3_0),inference(er,[status(thm)],[2262,theory(equality)])).
% cnf(2316,plain,(~epred4_0|$false),inference(rw,[status(thm)],[2265,2314,theory(equality)])).
% cnf(2317,plain,(~epred4_0),inference(cn,[status(thm)],[2316,theory(equality)])).
% cnf(2323,plain,(epred4_0|~r2_hidden(X1,k1_xboole_0)|~v1_relat_1(k1_xboole_0)|~v1_xboole_0(k1_xboole_0)),inference(spm,[status(thm)],[2264,692,theory(equality)])).
% cnf(2334,plain,(epred4_0|~r2_hidden(X1,k1_xboole_0)|$false|~v1_xboole_0(k1_xboole_0)),inference(rw,[status(thm)],[2323,546,theory(equality)])).
% cnf(2335,plain,(epred4_0|~r2_hidden(X1,k1_xboole_0)|$false|$false),inference(rw,[status(thm)],[2334,339,theory(equality)])).
% cnf(2336,plain,(epred4_0|~r2_hidden(X1,k1_xboole_0)),inference(cn,[status(thm)],[2335,theory(equality)])).
% cnf(2344,plain,(~r2_hidden(X1,k1_xboole_0)),inference(sr,[status(thm)],[2336,2317,theory(equality)])).
% cnf(5193,plain,(r2_hidden(X1,u1_struct_0(X2))|k1_binop_1(u1_altcat_1(X2),X3,X1)=k1_xboole_0|~l1_altcat_1(X2)|~v1_funct_1(u1_altcat_1(X2))|~v1_relat_1(u1_altcat_1(X2))),inference(spm,[status(thm)],[837,1465,theory(equality)])).
% cnf(5194,plain,(r2_hidden(X1,u1_struct_0(X2))|k1_binop_1(u1_altcat_1(X2),X1,X3)=k1_xboole_0|~l1_altcat_1(X2)|~v1_funct_1(u1_altcat_1(X2))|~v1_relat_1(u1_altcat_1(X2))),inference(spm,[status(thm)],[838,1465,theory(equality)])).
% cnf(5435,plain,(k1_binop_1(u1_altcat_1(X2),X3,X1)=k1_xboole_0|r2_hidden(X1,u1_struct_0(X2))|~v1_funct_1(u1_altcat_1(X2))|~l1_altcat_1(X2)),inference(csr,[status(thm)],[5193,464])).
% cnf(5436,plain,(k1_binop_1(u1_altcat_1(X2),X3,X1)=k1_xboole_0|r2_hidden(X1,u1_struct_0(X2))|~l1_altcat_1(X2)),inference(csr,[status(thm)],[5435,465])).
% cnf(5438,negated_conjecture,(r2_hidden(esk16_0,k1_xboole_0)|r2_hidden(esk15_0,u1_struct_0(esk13_0))|~l1_altcat_1(esk13_0)),inference(spm,[status(thm)],[374,5436,theory(equality)])).
% cnf(5461,negated_conjecture,(r2_hidden(esk16_0,k1_xboole_0)|r2_hidden(esk15_0,u1_struct_0(esk13_0))|$false),inference(rw,[status(thm)],[5438,392,theory(equality)])).
% cnf(5462,negated_conjecture,(r2_hidden(esk16_0,k1_xboole_0)|r2_hidden(esk15_0,u1_struct_0(esk13_0))),inference(cn,[status(thm)],[5461,theory(equality)])).
% cnf(5463,negated_conjecture,(r2_hidden(esk15_0,u1_struct_0(esk13_0))),inference(sr,[status(thm)],[5462,2344,theory(equality)])).
% cnf(5524,negated_conjecture,(m1_subset_1(esk15_0,u1_struct_0(esk13_0))),inference(spm,[status(thm)],[99,5463,theory(equality)])).
% cnf(5551,negated_conjecture,($false|~m1_subset_1(esk14_0,u1_struct_0(esk13_0))),inference(rw,[status(thm)],[607,5524,theory(equality)])).
% cnf(5552,negated_conjecture,(~m1_subset_1(esk14_0,u1_struct_0(esk13_0))),inference(cn,[status(thm)],[5551,theory(equality)])).
% cnf(5766,plain,(k1_binop_1(u1_altcat_1(X2),X1,X3)=k1_xboole_0|r2_hidden(X1,u1_struct_0(X2))|~v1_funct_1(u1_altcat_1(X2))|~l1_altcat_1(X2)),inference(csr,[status(thm)],[5194,464])).
% cnf(5767,plain,(k1_binop_1(u1_altcat_1(X2),X1,X3)=k1_xboole_0|r2_hidden(X1,u1_struct_0(X2))|~l1_altcat_1(X2)),inference(csr,[status(thm)],[5766,465])).
% cnf(5769,negated_conjecture,(r2_hidden(esk16_0,k1_xboole_0)|r2_hidden(esk14_0,u1_struct_0(esk13_0))|~l1_altcat_1(esk13_0)),inference(spm,[status(thm)],[374,5767,theory(equality)])).
% cnf(5792,negated_conjecture,(r2_hidden(esk16_0,k1_xboole_0)|r2_hidden(esk14_0,u1_struct_0(esk13_0))|$false),inference(rw,[status(thm)],[5769,392,theory(equality)])).
% cnf(5793,negated_conjecture,(r2_hidden(esk16_0,k1_xboole_0)|r2_hidden(esk14_0,u1_struct_0(esk13_0))),inference(cn,[status(thm)],[5792,theory(equality)])).
% cnf(5794,negated_conjecture,(r2_hidden(esk14_0,u1_struct_0(esk13_0))),inference(sr,[status(thm)],[5793,2344,theory(equality)])).
% cnf(5855,negated_conjecture,(m1_subset_1(esk14_0,u1_struct_0(esk13_0))),inference(spm,[status(thm)],[99,5794,theory(equality)])).
% cnf(5860,negated_conjecture,($false),inference(sr,[status(thm)],[5855,5552,theory(equality)])).
% cnf(5861,negated_conjecture,($false),5860,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1528
% # ...of these trivial : 36
% # ...subsumed : 811
% # ...remaining for further processing: 681
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 37
% # Backward-rewritten : 21
% # Generated clauses : 2733
% # ...of the previous two non-trivial : 2472
% # Contextual simplify-reflections : 864
% # Paramodulations : 2693
% # Factorizations : 8
% # Equation resolutions : 21
% # Current number of processed clauses: 495
% # Positive orientable unit clauses: 57
% # Positive unorientable unit clauses: 1
% # Negative unit clauses : 21
% # Non-unit-clauses : 416
% # Current number of unprocessed clauses: 933
% # ...number of literals in the above : 5454
% # Clause-clause subsumption calls (NU) : 22573
% # Rec. Clause-clause subsumption calls : 11800
% # Unit Clause-clause subsumption calls : 541
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 30
% # Indexed BW rewrite successes : 14
% # Backwards rewriting index: 335 leaves, 1.58+/-1.325 terms/leaf
% # Paramod-from index: 148 leaves, 1.26+/-0.718 terms/leaf
% # Paramod-into index: 270 leaves, 1.43+/-1.211 terms/leaf
% # -------------------------------------------------
% # User time : 0.263 s
% # System time : 0.011 s
% # Total time : 0.274 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.43 CPU 0.53 WC
% FINAL PrfWatch: 0.43 CPU 0.53 WC
% SZS output end Solution for /tmp/SystemOnTPTP30909/LAT359+1.tptp
%
%------------------------------------------------------------------------------