TSTP Solution File: ALG226+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : ALG226+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 : Tue Dec 28 21:33:17 EST 2010
% Result : Theorem 11.16s
% Output : Solution 11.16s
% 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/SystemOnTPTP30420/ALG226+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP30420/ALG226+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP30420/ALG226+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 30516
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.91 CPU 4.01 WC
% PrfWatch: 5.90 CPU 6.02 WC
% # Preprocessing time : 0.019 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 7.90 CPU 8.02 WC
% PrfWatch: 9.88 CPU 10.03 WC
% # SZS output start CNFRefutation.
% fof(4, axiom,![X1]:![X2]:![X3]:((m1_pboole(X2,X1)&m1_pboole(X3,X1))=>(r6_pboole(X1,X2,X3)<=>X2=X3)),file('/tmp/SRASS.s.p', redefinition_r6_pboole)).
% fof(8, axiom,![X1]:(~(v1_xboole_0(X1))=>![X2]:(m1_pboole(X2,X1)=>![X3]:(X3=k1_closure3(X1,X2)<=>X3=a_2_0_closure3(X1,X2)))),file('/tmp/SRASS.s.p', d3_closure3)).
% fof(12, axiom,![X1]:![X2]:(m1_pboole(X2,X1)=>(v2_relat_1(X2)<=>![X3]:~((r2_hidden(X3,X1)&v1_xboole_0(k1_funct_1(X2,X3)))))),file('/tmp/SRASS.s.p', d16_pboole)).
% fof(13, axiom,![X1]:![X2]:(v1_relat_1(X1)=>v1_relat_1(k7_relat_1(X1,X2))),file('/tmp/SRASS.s.p', dt_k7_relat_1)).
% fof(17, axiom,![X1]:![X2]:(m1_pboole(X2,X1)=>(v1_relat_1(X2)&v1_funct_1(X2))),file('/tmp/SRASS.s.p', dt_m1_pboole)).
% fof(18, axiom,![X1]:?[X2]:m1_subset_1(X2,X1),file('/tmp/SRASS.s.p', existence_m1_subset_1)).
% fof(20, axiom,![X1]:![X2]:(![X3]:(r2_hidden(X3,X1)<=>r2_hidden(X3,X2))=>X1=X2),file('/tmp/SRASS.s.p', t2_tarski)).
% fof(22, axiom,![X1]:![X2]:k3_xboole_0(X1,X2)=k3_xboole_0(X2,X1),file('/tmp/SRASS.s.p', commutativity_k3_xboole_0)).
% fof(23, axiom,![X1]:![X2]:k3_xboole_0(X1,X1)=X1,file('/tmp/SRASS.s.p', idempotence_k3_xboole_0)).
% fof(24, axiom,![X1]:![X2]:~((r2_hidden(X1,X2)&v1_xboole_0(X2))),file('/tmp/SRASS.s.p', t7_boole)).
% fof(26, axiom,v1_xboole_0(k1_xboole_0),file('/tmp/SRASS.s.p', fc1_xboole_0)).
% fof(28, axiom,![X1]:![X2]:((v1_relat_1(X1)&v1_funct_1(X1))=>(v1_relat_1(k7_relat_1(X1,X2))&v1_funct_1(k7_relat_1(X1,X2)))),file('/tmp/SRASS.s.p', fc4_funct_1)).
% fof(30, axiom,![X1]:![X2]:(v1_relat_1(X2)=>k1_relat_1(k7_relat_1(X2,X1))=k3_xboole_0(k1_relat_1(X2),X1)),file('/tmp/SRASS.s.p', t90_relat_1)).
% fof(32, 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(35, axiom,![X1]:k3_xboole_0(X1,k1_xboole_0)=k1_xboole_0,file('/tmp/SRASS.s.p', t2_boole)).
% fof(36, axiom,![X1]:![X2]:![X3]:(X3=k3_xboole_0(X1,X2)<=>![X4]:(r2_hidden(X4,X3)<=>(r2_hidden(X4,X1)&r2_hidden(X4,X2)))),file('/tmp/SRASS.s.p', d3_xboole_0)).
% fof(40, axiom,![X1]:![X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_hidden(X1,X2))),file('/tmp/SRASS.s.p', t2_subset)).
% fof(42, axiom,![X1]:![X2]:![X3]:((v1_relat_1(X3)&v1_funct_1(X3))=>(r2_hidden(X2,k1_relat_1(k7_relat_1(X3,X1)))=>k1_funct_1(k7_relat_1(X3,X1),X2)=k1_funct_1(X3,X2))),file('/tmp/SRASS.s.p', t70_funct_1)).
% fof(44, axiom,![X1]:![X2]:(r2_hidden(X1,X2)=>m1_subset_1(X1,X2)),file('/tmp/SRASS.s.p', t1_subset)).
% fof(45, axiom,![X1]:((v1_relat_1(X1)&v1_funct_1(X1))=>![X2]:((v1_relat_1(X2)&v1_funct_1(X2))=>((k1_relat_1(X1)=k1_relat_1(X2)&![X3]:(r2_hidden(X3,k1_relat_1(X1))=>k1_funct_1(X1,X3)=k1_funct_1(X2,X3)))=>X1=X2))),file('/tmp/SRASS.s.p', t9_funct_1)).
% fof(49, axiom,![X1]:![X2]:![X3]:((~(v1_xboole_0(X2))&m1_pboole(X3,X2))=>(r2_hidden(X1,a_2_0_closure3(X2,X3))<=>?[X4]:((m1_subset_1(X4,X2)&X1=X4)&~(k1_funct_1(X3,X4)=k1_xboole_0)))),file('/tmp/SRASS.s.p', fraenkel_a_2_0_closure3)).
% fof(57, conjecture,![X1]:(~(v1_xboole_0(X1))=>![X2]:((v2_relat_1(X2)&m1_pboole(X2,X1))=>![X3]:((v2_relat_1(X3)&m1_pboole(X3,X1))=>((k1_closure3(X1,X2)=k1_closure3(X1,X3)&k7_relat_1(X2,k1_closure3(X1,X2))=k7_relat_1(X3,k1_closure3(X1,X3)))=>r6_pboole(X1,X2,X3))))),file('/tmp/SRASS.s.p', t7_closure3)).
% fof(58, negated_conjecture,~(![X1]:(~(v1_xboole_0(X1))=>![X2]:((v2_relat_1(X2)&m1_pboole(X2,X1))=>![X3]:((v2_relat_1(X3)&m1_pboole(X3,X1))=>((k1_closure3(X1,X2)=k1_closure3(X1,X3)&k7_relat_1(X2,k1_closure3(X1,X2))=k7_relat_1(X3,k1_closure3(X1,X3)))=>r6_pboole(X1,X2,X3)))))),inference(assume_negation,[status(cth)],[57])).
% fof(60, plain,![X1]:(~(v1_xboole_0(X1))=>![X2]:(m1_pboole(X2,X1)=>![X3]:(X3=k1_closure3(X1,X2)<=>X3=a_2_0_closure3(X1,X2)))),inference(fof_simplification,[status(thm)],[8,theory(equality)])).
% fof(67, plain,![X1]:![X2]:![X3]:((~(v1_xboole_0(X2))&m1_pboole(X3,X2))=>(r2_hidden(X1,a_2_0_closure3(X2,X3))<=>?[X4]:((m1_subset_1(X4,X2)&X1=X4)&~(k1_funct_1(X3,X4)=k1_xboole_0)))),inference(fof_simplification,[status(thm)],[49,theory(equality)])).
% fof(68, negated_conjecture,~(![X1]:(~(v1_xboole_0(X1))=>![X2]:((v2_relat_1(X2)&m1_pboole(X2,X1))=>![X3]:((v2_relat_1(X3)&m1_pboole(X3,X1))=>((k1_closure3(X1,X2)=k1_closure3(X1,X3)&k7_relat_1(X2,k1_closure3(X1,X2))=k7_relat_1(X3,k1_closure3(X1,X3)))=>r6_pboole(X1,X2,X3)))))),inference(fof_simplification,[status(thm)],[58,theory(equality)])).
% fof(78, plain,![X1]:![X2]:![X3]:((~(m1_pboole(X2,X1))|~(m1_pboole(X3,X1)))|((~(r6_pboole(X1,X2,X3))|X2=X3)&(~(X2=X3)|r6_pboole(X1,X2,X3)))),inference(fof_nnf,[status(thm)],[4])).
% fof(79, plain,![X4]:![X5]:![X6]:((~(m1_pboole(X5,X4))|~(m1_pboole(X6,X4)))|((~(r6_pboole(X4,X5,X6))|X5=X6)&(~(X5=X6)|r6_pboole(X4,X5,X6)))),inference(variable_rename,[status(thm)],[78])).
% fof(80, plain,![X4]:![X5]:![X6]:(((~(r6_pboole(X4,X5,X6))|X5=X6)|(~(m1_pboole(X5,X4))|~(m1_pboole(X6,X4))))&((~(X5=X6)|r6_pboole(X4,X5,X6))|(~(m1_pboole(X5,X4))|~(m1_pboole(X6,X4))))),inference(distribute,[status(thm)],[79])).
% cnf(81,plain,(r6_pboole(X2,X3,X1)|~m1_pboole(X1,X2)|~m1_pboole(X3,X2)|X3!=X1),inference(split_conjunct,[status(thm)],[80])).
% fof(92, plain,![X1]:(v1_xboole_0(X1)|![X2]:(~(m1_pboole(X2,X1))|![X3]:((~(X3=k1_closure3(X1,X2))|X3=a_2_0_closure3(X1,X2))&(~(X3=a_2_0_closure3(X1,X2))|X3=k1_closure3(X1,X2))))),inference(fof_nnf,[status(thm)],[60])).
% fof(93, plain,![X4]:(v1_xboole_0(X4)|![X5]:(~(m1_pboole(X5,X4))|![X6]:((~(X6=k1_closure3(X4,X5))|X6=a_2_0_closure3(X4,X5))&(~(X6=a_2_0_closure3(X4,X5))|X6=k1_closure3(X4,X5))))),inference(variable_rename,[status(thm)],[92])).
% fof(94, plain,![X4]:![X5]:![X6]:((((~(X6=k1_closure3(X4,X5))|X6=a_2_0_closure3(X4,X5))&(~(X6=a_2_0_closure3(X4,X5))|X6=k1_closure3(X4,X5)))|~(m1_pboole(X5,X4)))|v1_xboole_0(X4)),inference(shift_quantors,[status(thm)],[93])).
% fof(95, plain,![X4]:![X5]:![X6]:((((~(X6=k1_closure3(X4,X5))|X6=a_2_0_closure3(X4,X5))|~(m1_pboole(X5,X4)))|v1_xboole_0(X4))&(((~(X6=a_2_0_closure3(X4,X5))|X6=k1_closure3(X4,X5))|~(m1_pboole(X5,X4)))|v1_xboole_0(X4))),inference(distribute,[status(thm)],[94])).
% cnf(96,plain,(v1_xboole_0(X1)|X3=k1_closure3(X1,X2)|~m1_pboole(X2,X1)|X3!=a_2_0_closure3(X1,X2)),inference(split_conjunct,[status(thm)],[95])).
% cnf(97,plain,(v1_xboole_0(X1)|X3=a_2_0_closure3(X1,X2)|~m1_pboole(X2,X1)|X3!=k1_closure3(X1,X2)),inference(split_conjunct,[status(thm)],[95])).
% fof(109, plain,![X1]:![X2]:(~(m1_pboole(X2,X1))|((~(v2_relat_1(X2))|![X3]:(~(r2_hidden(X3,X1))|~(v1_xboole_0(k1_funct_1(X2,X3)))))&(?[X3]:(r2_hidden(X3,X1)&v1_xboole_0(k1_funct_1(X2,X3)))|v2_relat_1(X2)))),inference(fof_nnf,[status(thm)],[12])).
% fof(110, plain,![X4]:![X5]:(~(m1_pboole(X5,X4))|((~(v2_relat_1(X5))|![X6]:(~(r2_hidden(X6,X4))|~(v1_xboole_0(k1_funct_1(X5,X6)))))&(?[X7]:(r2_hidden(X7,X4)&v1_xboole_0(k1_funct_1(X5,X7)))|v2_relat_1(X5)))),inference(variable_rename,[status(thm)],[109])).
% fof(111, plain,![X4]:![X5]:(~(m1_pboole(X5,X4))|((~(v2_relat_1(X5))|![X6]:(~(r2_hidden(X6,X4))|~(v1_xboole_0(k1_funct_1(X5,X6)))))&((r2_hidden(esk4_2(X4,X5),X4)&v1_xboole_0(k1_funct_1(X5,esk4_2(X4,X5))))|v2_relat_1(X5)))),inference(skolemize,[status(esa)],[110])).
% fof(112, plain,![X4]:![X5]:![X6]:((((~(r2_hidden(X6,X4))|~(v1_xboole_0(k1_funct_1(X5,X6))))|~(v2_relat_1(X5)))&((r2_hidden(esk4_2(X4,X5),X4)&v1_xboole_0(k1_funct_1(X5,esk4_2(X4,X5))))|v2_relat_1(X5)))|~(m1_pboole(X5,X4))),inference(shift_quantors,[status(thm)],[111])).
% fof(113, plain,![X4]:![X5]:![X6]:((((~(r2_hidden(X6,X4))|~(v1_xboole_0(k1_funct_1(X5,X6))))|~(v2_relat_1(X5)))|~(m1_pboole(X5,X4)))&(((r2_hidden(esk4_2(X4,X5),X4)|v2_relat_1(X5))|~(m1_pboole(X5,X4)))&((v1_xboole_0(k1_funct_1(X5,esk4_2(X4,X5)))|v2_relat_1(X5))|~(m1_pboole(X5,X4))))),inference(distribute,[status(thm)],[112])).
% cnf(116,plain,(~m1_pboole(X1,X2)|~v2_relat_1(X1)|~v1_xboole_0(k1_funct_1(X1,X3))|~r2_hidden(X3,X2)),inference(split_conjunct,[status(thm)],[113])).
% fof(117, plain,![X1]:![X2]:(~(v1_relat_1(X1))|v1_relat_1(k7_relat_1(X1,X2))),inference(fof_nnf,[status(thm)],[13])).
% fof(118, plain,![X3]:![X4]:(~(v1_relat_1(X3))|v1_relat_1(k7_relat_1(X3,X4))),inference(variable_rename,[status(thm)],[117])).
% cnf(119,plain,(v1_relat_1(k7_relat_1(X1,X2))|~v1_relat_1(X1)),inference(split_conjunct,[status(thm)],[118])).
% fof(132, plain,![X1]:![X2]:(~(m1_pboole(X2,X1))|(v1_relat_1(X2)&v1_funct_1(X2))),inference(fof_nnf,[status(thm)],[17])).
% fof(133, plain,![X3]:![X4]:(~(m1_pboole(X4,X3))|(v1_relat_1(X4)&v1_funct_1(X4))),inference(variable_rename,[status(thm)],[132])).
% fof(134, plain,![X3]:![X4]:((v1_relat_1(X4)|~(m1_pboole(X4,X3)))&(v1_funct_1(X4)|~(m1_pboole(X4,X3)))),inference(distribute,[status(thm)],[133])).
% cnf(135,plain,(v1_funct_1(X1)|~m1_pboole(X1,X2)),inference(split_conjunct,[status(thm)],[134])).
% cnf(136,plain,(v1_relat_1(X1)|~m1_pboole(X1,X2)),inference(split_conjunct,[status(thm)],[134])).
% fof(137, plain,![X3]:?[X4]:m1_subset_1(X4,X3),inference(variable_rename,[status(thm)],[18])).
% fof(138, plain,![X3]:m1_subset_1(esk6_1(X3),X3),inference(skolemize,[status(esa)],[137])).
% cnf(139,plain,(m1_subset_1(esk6_1(X1),X1)),inference(split_conjunct,[status(thm)],[138])).
% fof(144, plain,![X1]:![X2]:(?[X3]:((~(r2_hidden(X3,X1))|~(r2_hidden(X3,X2)))&(r2_hidden(X3,X1)|r2_hidden(X3,X2)))|X1=X2),inference(fof_nnf,[status(thm)],[20])).
% fof(145, plain,![X4]:![X5]:(?[X6]:((~(r2_hidden(X6,X4))|~(r2_hidden(X6,X5)))&(r2_hidden(X6,X4)|r2_hidden(X6,X5)))|X4=X5),inference(variable_rename,[status(thm)],[144])).
% fof(146, plain,![X4]:![X5]:(((~(r2_hidden(esk8_2(X4,X5),X4))|~(r2_hidden(esk8_2(X4,X5),X5)))&(r2_hidden(esk8_2(X4,X5),X4)|r2_hidden(esk8_2(X4,X5),X5)))|X4=X5),inference(skolemize,[status(esa)],[145])).
% fof(147, plain,![X4]:![X5]:(((~(r2_hidden(esk8_2(X4,X5),X4))|~(r2_hidden(esk8_2(X4,X5),X5)))|X4=X5)&((r2_hidden(esk8_2(X4,X5),X4)|r2_hidden(esk8_2(X4,X5),X5))|X4=X5)),inference(distribute,[status(thm)],[146])).
% cnf(148,plain,(X1=X2|r2_hidden(esk8_2(X1,X2),X2)|r2_hidden(esk8_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[147])).
% cnf(149,plain,(X1=X2|~r2_hidden(esk8_2(X1,X2),X2)|~r2_hidden(esk8_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[147])).
% fof(153, plain,![X3]:![X4]:k3_xboole_0(X3,X4)=k3_xboole_0(X4,X3),inference(variable_rename,[status(thm)],[22])).
% cnf(154,plain,(k3_xboole_0(X1,X2)=k3_xboole_0(X2,X1)),inference(split_conjunct,[status(thm)],[153])).
% fof(155, plain,![X3]:![X4]:k3_xboole_0(X3,X3)=X3,inference(variable_rename,[status(thm)],[23])).
% cnf(156,plain,(k3_xboole_0(X1,X1)=X1),inference(split_conjunct,[status(thm)],[155])).
% fof(157, plain,![X1]:![X2]:(~(r2_hidden(X1,X2))|~(v1_xboole_0(X2))),inference(fof_nnf,[status(thm)],[24])).
% fof(158, plain,![X3]:![X4]:(~(r2_hidden(X3,X4))|~(v1_xboole_0(X4))),inference(variable_rename,[status(thm)],[157])).
% cnf(159,plain,(~v1_xboole_0(X1)|~r2_hidden(X2,X1)),inference(split_conjunct,[status(thm)],[158])).
% cnf(163,plain,(v1_xboole_0(k1_xboole_0)),inference(split_conjunct,[status(thm)],[26])).
% fof(168, plain,![X1]:![X2]:((~(v1_relat_1(X1))|~(v1_funct_1(X1)))|(v1_relat_1(k7_relat_1(X1,X2))&v1_funct_1(k7_relat_1(X1,X2)))),inference(fof_nnf,[status(thm)],[28])).
% fof(169, plain,![X3]:![X4]:((~(v1_relat_1(X3))|~(v1_funct_1(X3)))|(v1_relat_1(k7_relat_1(X3,X4))&v1_funct_1(k7_relat_1(X3,X4)))),inference(variable_rename,[status(thm)],[168])).
% fof(170, plain,![X3]:![X4]:((v1_relat_1(k7_relat_1(X3,X4))|(~(v1_relat_1(X3))|~(v1_funct_1(X3))))&(v1_funct_1(k7_relat_1(X3,X4))|(~(v1_relat_1(X3))|~(v1_funct_1(X3))))),inference(distribute,[status(thm)],[169])).
% cnf(171,plain,(v1_funct_1(k7_relat_1(X1,X2))|~v1_funct_1(X1)|~v1_relat_1(X1)),inference(split_conjunct,[status(thm)],[170])).
% fof(182, plain,![X1]:![X2]:(~(v1_relat_1(X2))|k1_relat_1(k7_relat_1(X2,X1))=k3_xboole_0(k1_relat_1(X2),X1)),inference(fof_nnf,[status(thm)],[30])).
% fof(183, plain,![X3]:![X4]:(~(v1_relat_1(X4))|k1_relat_1(k7_relat_1(X4,X3))=k3_xboole_0(k1_relat_1(X4),X3)),inference(variable_rename,[status(thm)],[182])).
% cnf(184,plain,(k1_relat_1(k7_relat_1(X1,X2))=k3_xboole_0(k1_relat_1(X1),X2)|~v1_relat_1(X1)),inference(split_conjunct,[status(thm)],[183])).
% fof(188, 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)],[32])).
% fof(189, 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)],[188])).
% fof(190, 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)],[189])).
% cnf(191,plain,(m1_pboole(X1,X2)|~v1_funct_1(X1)|~v1_relat_1(X1)|k1_relat_1(X1)!=X2),inference(split_conjunct,[status(thm)],[190])).
% cnf(192,plain,(k1_relat_1(X1)=X2|~v1_funct_1(X1)|~v1_relat_1(X1)|~m1_pboole(X1,X2)),inference(split_conjunct,[status(thm)],[190])).
% fof(203, plain,![X2]:k3_xboole_0(X2,k1_xboole_0)=k1_xboole_0,inference(variable_rename,[status(thm)],[35])).
% cnf(204,plain,(k3_xboole_0(X1,k1_xboole_0)=k1_xboole_0),inference(split_conjunct,[status(thm)],[203])).
% fof(205, plain,![X1]:![X2]:![X3]:((~(X3=k3_xboole_0(X1,X2))|![X4]:((~(r2_hidden(X4,X3))|(r2_hidden(X4,X1)&r2_hidden(X4,X2)))&((~(r2_hidden(X4,X1))|~(r2_hidden(X4,X2)))|r2_hidden(X4,X3))))&(?[X4]:((~(r2_hidden(X4,X3))|(~(r2_hidden(X4,X1))|~(r2_hidden(X4,X2))))&(r2_hidden(X4,X3)|(r2_hidden(X4,X1)&r2_hidden(X4,X2))))|X3=k3_xboole_0(X1,X2))),inference(fof_nnf,[status(thm)],[36])).
% fof(206, plain,![X5]:![X6]:![X7]:((~(X7=k3_xboole_0(X5,X6))|![X8]:((~(r2_hidden(X8,X7))|(r2_hidden(X8,X5)&r2_hidden(X8,X6)))&((~(r2_hidden(X8,X5))|~(r2_hidden(X8,X6)))|r2_hidden(X8,X7))))&(?[X9]:((~(r2_hidden(X9,X7))|(~(r2_hidden(X9,X5))|~(r2_hidden(X9,X6))))&(r2_hidden(X9,X7)|(r2_hidden(X9,X5)&r2_hidden(X9,X6))))|X7=k3_xboole_0(X5,X6))),inference(variable_rename,[status(thm)],[205])).
% fof(207, plain,![X5]:![X6]:![X7]:((~(X7=k3_xboole_0(X5,X6))|![X8]:((~(r2_hidden(X8,X7))|(r2_hidden(X8,X5)&r2_hidden(X8,X6)))&((~(r2_hidden(X8,X5))|~(r2_hidden(X8,X6)))|r2_hidden(X8,X7))))&(((~(r2_hidden(esk13_3(X5,X6,X7),X7))|(~(r2_hidden(esk13_3(X5,X6,X7),X5))|~(r2_hidden(esk13_3(X5,X6,X7),X6))))&(r2_hidden(esk13_3(X5,X6,X7),X7)|(r2_hidden(esk13_3(X5,X6,X7),X5)&r2_hidden(esk13_3(X5,X6,X7),X6))))|X7=k3_xboole_0(X5,X6))),inference(skolemize,[status(esa)],[206])).
% fof(208, plain,![X5]:![X6]:![X7]:![X8]:((((~(r2_hidden(X8,X7))|(r2_hidden(X8,X5)&r2_hidden(X8,X6)))&((~(r2_hidden(X8,X5))|~(r2_hidden(X8,X6)))|r2_hidden(X8,X7)))|~(X7=k3_xboole_0(X5,X6)))&(((~(r2_hidden(esk13_3(X5,X6,X7),X7))|(~(r2_hidden(esk13_3(X5,X6,X7),X5))|~(r2_hidden(esk13_3(X5,X6,X7),X6))))&(r2_hidden(esk13_3(X5,X6,X7),X7)|(r2_hidden(esk13_3(X5,X6,X7),X5)&r2_hidden(esk13_3(X5,X6,X7),X6))))|X7=k3_xboole_0(X5,X6))),inference(shift_quantors,[status(thm)],[207])).
% fof(209, plain,![X5]:![X6]:![X7]:![X8]:(((((r2_hidden(X8,X5)|~(r2_hidden(X8,X7)))|~(X7=k3_xboole_0(X5,X6)))&((r2_hidden(X8,X6)|~(r2_hidden(X8,X7)))|~(X7=k3_xboole_0(X5,X6))))&(((~(r2_hidden(X8,X5))|~(r2_hidden(X8,X6)))|r2_hidden(X8,X7))|~(X7=k3_xboole_0(X5,X6))))&(((~(r2_hidden(esk13_3(X5,X6,X7),X7))|(~(r2_hidden(esk13_3(X5,X6,X7),X5))|~(r2_hidden(esk13_3(X5,X6,X7),X6))))|X7=k3_xboole_0(X5,X6))&(((r2_hidden(esk13_3(X5,X6,X7),X5)|r2_hidden(esk13_3(X5,X6,X7),X7))|X7=k3_xboole_0(X5,X6))&((r2_hidden(esk13_3(X5,X6,X7),X6)|r2_hidden(esk13_3(X5,X6,X7),X7))|X7=k3_xboole_0(X5,X6))))),inference(distribute,[status(thm)],[208])).
% cnf(211,plain,(X1=k3_xboole_0(X2,X3)|r2_hidden(esk13_3(X2,X3,X1),X1)|r2_hidden(esk13_3(X2,X3,X1),X2)),inference(split_conjunct,[status(thm)],[209])).
% cnf(212,plain,(X1=k3_xboole_0(X2,X3)|~r2_hidden(esk13_3(X2,X3,X1),X3)|~r2_hidden(esk13_3(X2,X3,X1),X2)|~r2_hidden(esk13_3(X2,X3,X1),X1)),inference(split_conjunct,[status(thm)],[209])).
% cnf(215,plain,(r2_hidden(X4,X2)|X1!=k3_xboole_0(X2,X3)|~r2_hidden(X4,X1)),inference(split_conjunct,[status(thm)],[209])).
% fof(229, plain,![X1]:![X2]:(~(m1_subset_1(X1,X2))|(v1_xboole_0(X2)|r2_hidden(X1,X2))),inference(fof_nnf,[status(thm)],[40])).
% fof(230, plain,![X3]:![X4]:(~(m1_subset_1(X3,X4))|(v1_xboole_0(X4)|r2_hidden(X3,X4))),inference(variable_rename,[status(thm)],[229])).
% cnf(231,plain,(r2_hidden(X1,X2)|v1_xboole_0(X2)|~m1_subset_1(X1,X2)),inference(split_conjunct,[status(thm)],[230])).
% fof(237, plain,![X1]:![X2]:![X3]:((~(v1_relat_1(X3))|~(v1_funct_1(X3)))|(~(r2_hidden(X2,k1_relat_1(k7_relat_1(X3,X1))))|k1_funct_1(k7_relat_1(X3,X1),X2)=k1_funct_1(X3,X2))),inference(fof_nnf,[status(thm)],[42])).
% fof(238, plain,![X4]:![X5]:![X6]:((~(v1_relat_1(X6))|~(v1_funct_1(X6)))|(~(r2_hidden(X5,k1_relat_1(k7_relat_1(X6,X4))))|k1_funct_1(k7_relat_1(X6,X4),X5)=k1_funct_1(X6,X5))),inference(variable_rename,[status(thm)],[237])).
% cnf(239,plain,(k1_funct_1(k7_relat_1(X1,X2),X3)=k1_funct_1(X1,X3)|~r2_hidden(X3,k1_relat_1(k7_relat_1(X1,X2)))|~v1_funct_1(X1)|~v1_relat_1(X1)),inference(split_conjunct,[status(thm)],[238])).
% fof(246, plain,![X1]:![X2]:(~(r2_hidden(X1,X2))|m1_subset_1(X1,X2)),inference(fof_nnf,[status(thm)],[44])).
% fof(247, plain,![X3]:![X4]:(~(r2_hidden(X3,X4))|m1_subset_1(X3,X4)),inference(variable_rename,[status(thm)],[246])).
% cnf(248,plain,(m1_subset_1(X1,X2)|~r2_hidden(X1,X2)),inference(split_conjunct,[status(thm)],[247])).
% fof(249, plain,![X1]:((~(v1_relat_1(X1))|~(v1_funct_1(X1)))|![X2]:((~(v1_relat_1(X2))|~(v1_funct_1(X2)))|((~(k1_relat_1(X1)=k1_relat_1(X2))|?[X3]:(r2_hidden(X3,k1_relat_1(X1))&~(k1_funct_1(X1,X3)=k1_funct_1(X2,X3))))|X1=X2))),inference(fof_nnf,[status(thm)],[45])).
% fof(250, plain,![X4]:((~(v1_relat_1(X4))|~(v1_funct_1(X4)))|![X5]:((~(v1_relat_1(X5))|~(v1_funct_1(X5)))|((~(k1_relat_1(X4)=k1_relat_1(X5))|?[X6]:(r2_hidden(X6,k1_relat_1(X4))&~(k1_funct_1(X4,X6)=k1_funct_1(X5,X6))))|X4=X5))),inference(variable_rename,[status(thm)],[249])).
% fof(251, plain,![X4]:((~(v1_relat_1(X4))|~(v1_funct_1(X4)))|![X5]:((~(v1_relat_1(X5))|~(v1_funct_1(X5)))|((~(k1_relat_1(X4)=k1_relat_1(X5))|(r2_hidden(esk18_2(X4,X5),k1_relat_1(X4))&~(k1_funct_1(X4,esk18_2(X4,X5))=k1_funct_1(X5,esk18_2(X4,X5)))))|X4=X5))),inference(skolemize,[status(esa)],[250])).
% fof(252, plain,![X4]:![X5]:(((~(v1_relat_1(X5))|~(v1_funct_1(X5)))|((~(k1_relat_1(X4)=k1_relat_1(X5))|(r2_hidden(esk18_2(X4,X5),k1_relat_1(X4))&~(k1_funct_1(X4,esk18_2(X4,X5))=k1_funct_1(X5,esk18_2(X4,X5)))))|X4=X5))|(~(v1_relat_1(X4))|~(v1_funct_1(X4)))),inference(shift_quantors,[status(thm)],[251])).
% fof(253, plain,![X4]:![X5]:(((((r2_hidden(esk18_2(X4,X5),k1_relat_1(X4))|~(k1_relat_1(X4)=k1_relat_1(X5)))|X4=X5)|(~(v1_relat_1(X5))|~(v1_funct_1(X5))))|(~(v1_relat_1(X4))|~(v1_funct_1(X4))))&((((~(k1_funct_1(X4,esk18_2(X4,X5))=k1_funct_1(X5,esk18_2(X4,X5)))|~(k1_relat_1(X4)=k1_relat_1(X5)))|X4=X5)|(~(v1_relat_1(X5))|~(v1_funct_1(X5))))|(~(v1_relat_1(X4))|~(v1_funct_1(X4))))),inference(distribute,[status(thm)],[252])).
% cnf(254,plain,(X1=X2|~v1_funct_1(X1)|~v1_relat_1(X1)|~v1_funct_1(X2)|~v1_relat_1(X2)|k1_relat_1(X1)!=k1_relat_1(X2)|k1_funct_1(X1,esk18_2(X1,X2))!=k1_funct_1(X2,esk18_2(X1,X2))),inference(split_conjunct,[status(thm)],[253])).
% cnf(255,plain,(X1=X2|r2_hidden(esk18_2(X1,X2),k1_relat_1(X1))|~v1_funct_1(X1)|~v1_relat_1(X1)|~v1_funct_1(X2)|~v1_relat_1(X2)|k1_relat_1(X1)!=k1_relat_1(X2)),inference(split_conjunct,[status(thm)],[253])).
% fof(268, plain,![X1]:![X2]:![X3]:((v1_xboole_0(X2)|~(m1_pboole(X3,X2)))|((~(r2_hidden(X1,a_2_0_closure3(X2,X3)))|?[X4]:((m1_subset_1(X4,X2)&X1=X4)&~(k1_funct_1(X3,X4)=k1_xboole_0)))&(![X4]:((~(m1_subset_1(X4,X2))|~(X1=X4))|k1_funct_1(X3,X4)=k1_xboole_0)|r2_hidden(X1,a_2_0_closure3(X2,X3))))),inference(fof_nnf,[status(thm)],[67])).
% fof(269, plain,![X5]:![X6]:![X7]:((v1_xboole_0(X6)|~(m1_pboole(X7,X6)))|((~(r2_hidden(X5,a_2_0_closure3(X6,X7)))|?[X8]:((m1_subset_1(X8,X6)&X5=X8)&~(k1_funct_1(X7,X8)=k1_xboole_0)))&(![X9]:((~(m1_subset_1(X9,X6))|~(X5=X9))|k1_funct_1(X7,X9)=k1_xboole_0)|r2_hidden(X5,a_2_0_closure3(X6,X7))))),inference(variable_rename,[status(thm)],[268])).
% fof(270, plain,![X5]:![X6]:![X7]:((v1_xboole_0(X6)|~(m1_pboole(X7,X6)))|((~(r2_hidden(X5,a_2_0_closure3(X6,X7)))|((m1_subset_1(esk19_3(X5,X6,X7),X6)&X5=esk19_3(X5,X6,X7))&~(k1_funct_1(X7,esk19_3(X5,X6,X7))=k1_xboole_0)))&(![X9]:((~(m1_subset_1(X9,X6))|~(X5=X9))|k1_funct_1(X7,X9)=k1_xboole_0)|r2_hidden(X5,a_2_0_closure3(X6,X7))))),inference(skolemize,[status(esa)],[269])).
% fof(271, plain,![X5]:![X6]:![X7]:![X9]:(((((~(m1_subset_1(X9,X6))|~(X5=X9))|k1_funct_1(X7,X9)=k1_xboole_0)|r2_hidden(X5,a_2_0_closure3(X6,X7)))&(~(r2_hidden(X5,a_2_0_closure3(X6,X7)))|((m1_subset_1(esk19_3(X5,X6,X7),X6)&X5=esk19_3(X5,X6,X7))&~(k1_funct_1(X7,esk19_3(X5,X6,X7))=k1_xboole_0))))|(v1_xboole_0(X6)|~(m1_pboole(X7,X6)))),inference(shift_quantors,[status(thm)],[270])).
% fof(272, plain,![X5]:![X6]:![X7]:![X9]:(((((~(m1_subset_1(X9,X6))|~(X5=X9))|k1_funct_1(X7,X9)=k1_xboole_0)|r2_hidden(X5,a_2_0_closure3(X6,X7)))|(v1_xboole_0(X6)|~(m1_pboole(X7,X6))))&((((m1_subset_1(esk19_3(X5,X6,X7),X6)|~(r2_hidden(X5,a_2_0_closure3(X6,X7))))|(v1_xboole_0(X6)|~(m1_pboole(X7,X6))))&((X5=esk19_3(X5,X6,X7)|~(r2_hidden(X5,a_2_0_closure3(X6,X7))))|(v1_xboole_0(X6)|~(m1_pboole(X7,X6)))))&((~(k1_funct_1(X7,esk19_3(X5,X6,X7))=k1_xboole_0)|~(r2_hidden(X5,a_2_0_closure3(X6,X7))))|(v1_xboole_0(X6)|~(m1_pboole(X7,X6)))))),inference(distribute,[status(thm)],[271])).
% cnf(274,plain,(v1_xboole_0(X2)|X3=esk19_3(X3,X2,X1)|~m1_pboole(X1,X2)|~r2_hidden(X3,a_2_0_closure3(X2,X1))),inference(split_conjunct,[status(thm)],[272])).
% cnf(275,plain,(v1_xboole_0(X2)|m1_subset_1(esk19_3(X3,X2,X1),X2)|~m1_pboole(X1,X2)|~r2_hidden(X3,a_2_0_closure3(X2,X1))),inference(split_conjunct,[status(thm)],[272])).
% cnf(276,plain,(v1_xboole_0(X2)|r2_hidden(X3,a_2_0_closure3(X2,X1))|k1_funct_1(X1,X4)=k1_xboole_0|~m1_pboole(X1,X2)|X3!=X4|~m1_subset_1(X4,X2)),inference(split_conjunct,[status(thm)],[272])).
% fof(291, negated_conjecture,?[X1]:(~(v1_xboole_0(X1))&?[X2]:((v2_relat_1(X2)&m1_pboole(X2,X1))&?[X3]:((v2_relat_1(X3)&m1_pboole(X3,X1))&((k1_closure3(X1,X2)=k1_closure3(X1,X3)&k7_relat_1(X2,k1_closure3(X1,X2))=k7_relat_1(X3,k1_closure3(X1,X3)))&~(r6_pboole(X1,X2,X3)))))),inference(fof_nnf,[status(thm)],[68])).
% fof(292, negated_conjecture,?[X4]:(~(v1_xboole_0(X4))&?[X5]:((v2_relat_1(X5)&m1_pboole(X5,X4))&?[X6]:((v2_relat_1(X6)&m1_pboole(X6,X4))&((k1_closure3(X4,X5)=k1_closure3(X4,X6)&k7_relat_1(X5,k1_closure3(X4,X5))=k7_relat_1(X6,k1_closure3(X4,X6)))&~(r6_pboole(X4,X5,X6)))))),inference(variable_rename,[status(thm)],[291])).
% fof(293, negated_conjecture,(~(v1_xboole_0(esk21_0))&((v2_relat_1(esk22_0)&m1_pboole(esk22_0,esk21_0))&((v2_relat_1(esk23_0)&m1_pboole(esk23_0,esk21_0))&((k1_closure3(esk21_0,esk22_0)=k1_closure3(esk21_0,esk23_0)&k7_relat_1(esk22_0,k1_closure3(esk21_0,esk22_0))=k7_relat_1(esk23_0,k1_closure3(esk21_0,esk23_0)))&~(r6_pboole(esk21_0,esk22_0,esk23_0)))))),inference(skolemize,[status(esa)],[292])).
% cnf(294,negated_conjecture,(~r6_pboole(esk21_0,esk22_0,esk23_0)),inference(split_conjunct,[status(thm)],[293])).
% cnf(295,negated_conjecture,(k7_relat_1(esk22_0,k1_closure3(esk21_0,esk22_0))=k7_relat_1(esk23_0,k1_closure3(esk21_0,esk23_0))),inference(split_conjunct,[status(thm)],[293])).
% cnf(296,negated_conjecture,(k1_closure3(esk21_0,esk22_0)=k1_closure3(esk21_0,esk23_0)),inference(split_conjunct,[status(thm)],[293])).
% cnf(297,negated_conjecture,(m1_pboole(esk23_0,esk21_0)),inference(split_conjunct,[status(thm)],[293])).
% cnf(299,negated_conjecture,(m1_pboole(esk22_0,esk21_0)),inference(split_conjunct,[status(thm)],[293])).
% cnf(300,negated_conjecture,(v2_relat_1(esk22_0)),inference(split_conjunct,[status(thm)],[293])).
% cnf(301,negated_conjecture,(~v1_xboole_0(esk21_0)),inference(split_conjunct,[status(thm)],[293])).
% cnf(302,negated_conjecture,(k7_relat_1(esk23_0,k1_closure3(esk21_0,esk22_0))=k7_relat_1(esk22_0,k1_closure3(esk21_0,esk22_0))),inference(rw,[status(thm)],[295,296,theory(equality)])).
% cnf(305,plain,(k1_relat_1(X1)=X2|~v1_relat_1(X1)|~m1_pboole(X1,X2)),inference(csr,[status(thm)],[192,135])).
% cnf(306,plain,(k1_relat_1(X1)=X2|~m1_pboole(X1,X2)),inference(csr,[status(thm)],[305,136])).
% cnf(307,plain,(r6_pboole(X1,X2,X2)|~m1_pboole(X2,X1)),inference(er,[status(thm)],[81,theory(equality)])).
% cnf(308,plain,(k1_funct_1(X1,X2)=k1_xboole_0|r2_hidden(X2,a_2_0_closure3(X3,X1))|v1_xboole_0(X3)|~m1_subset_1(X2,X3)|~m1_pboole(X1,X3)),inference(er,[status(thm)],[276,theory(equality)])).
% cnf(313,negated_conjecture,(v1_relat_1(esk23_0)),inference(spm,[status(thm)],[136,297,theory(equality)])).
% cnf(314,negated_conjecture,(v1_relat_1(esk22_0)),inference(spm,[status(thm)],[136,299,theory(equality)])).
% cnf(320,negated_conjecture,(v1_funct_1(esk23_0)),inference(spm,[status(thm)],[135,297,theory(equality)])).
% cnf(321,negated_conjecture,(v1_funct_1(esk22_0)),inference(spm,[status(thm)],[135,299,theory(equality)])).
% cnf(338,negated_conjecture,(k1_relat_1(esk23_0)=esk21_0),inference(spm,[status(thm)],[306,297,theory(equality)])).
% cnf(339,negated_conjecture,(k1_relat_1(esk22_0)=esk21_0),inference(spm,[status(thm)],[306,299,theory(equality)])).
% cnf(358,plain,(r2_hidden(esk6_1(X1),X1)|v1_xboole_0(X1)),inference(spm,[status(thm)],[231,139,theory(equality)])).
% cnf(370,plain,(k1_closure3(X1,X2)=a_2_0_closure3(X1,X2)|v1_xboole_0(X1)|~m1_pboole(X2,X1)),inference(er,[status(thm)],[96,theory(equality)])).
% cnf(371,plain,(m1_pboole(k7_relat_1(X1,X2),X3)|k3_xboole_0(k1_relat_1(X1),X2)!=X3|~v1_funct_1(k7_relat_1(X1,X2))|~v1_relat_1(k7_relat_1(X1,X2))|~v1_relat_1(X1)),inference(spm,[status(thm)],[191,184,theory(equality)])).
% cnf(386,plain,(r2_hidden(X1,X2)|~r2_hidden(X1,k3_xboole_0(X2,X3))),inference(er,[status(thm)],[215,theory(equality)])).
% cnf(387,plain,(r2_hidden(X1,X2)|k1_xboole_0!=X3|~r2_hidden(X1,X3)),inference(spm,[status(thm)],[215,204,theory(equality)])).
% cnf(393,negated_conjecture,(a_2_0_closure3(esk21_0,esk23_0)=X1|v1_xboole_0(esk21_0)|k1_closure3(esk21_0,esk22_0)!=X1|~m1_pboole(esk23_0,esk21_0)),inference(spm,[status(thm)],[97,296,theory(equality)])).
% cnf(394,negated_conjecture,(a_2_0_closure3(esk21_0,esk23_0)=X1|v1_xboole_0(esk21_0)|k1_closure3(esk21_0,esk22_0)!=X1|$false),inference(rw,[status(thm)],[393,297,theory(equality)])).
% cnf(395,negated_conjecture,(a_2_0_closure3(esk21_0,esk23_0)=X1|v1_xboole_0(esk21_0)|k1_closure3(esk21_0,esk22_0)!=X1),inference(cn,[status(thm)],[394,theory(equality)])).
% cnf(396,negated_conjecture,(a_2_0_closure3(esk21_0,esk23_0)=X1|k1_closure3(esk21_0,esk22_0)!=X1),inference(sr,[status(thm)],[395,301,theory(equality)])).
% cnf(409,plain,(m1_subset_1(X1,X2)|v1_xboole_0(X2)|~r2_hidden(X1,a_2_0_closure3(X2,X3))|~m1_pboole(X3,X2)),inference(spm,[status(thm)],[275,274,theory(equality)])).
% cnf(440,plain,(k3_xboole_0(X4,X5)=X4|r2_hidden(esk13_3(X4,X5,X4),X4)),inference(ef,[status(thm)],[211,theory(equality)])).
% cnf(548,negated_conjecture,(a_2_0_closure3(esk21_0,esk23_0)=k1_closure3(esk21_0,esk22_0)),inference(er,[status(thm)],[396,theory(equality)])).
% cnf(676,plain,(k1_funct_1(X1,X2)=k1_xboole_0|r2_hidden(X2,k1_closure3(X3,X1))|v1_xboole_0(X3)|~m1_subset_1(X2,X3)|~m1_pboole(X1,X3)),inference(spm,[status(thm)],[308,370,theory(equality)])).
% cnf(711,plain,(m1_pboole(k7_relat_1(X1,X2),X3)|k3_xboole_0(k1_relat_1(X1),X2)!=X3|~v1_funct_1(k7_relat_1(X1,X2))|~v1_relat_1(X1)),inference(csr,[status(thm)],[371,119])).
% cnf(713,negated_conjecture,(m1_pboole(k7_relat_1(esk23_0,X1),X2)|k3_xboole_0(esk21_0,X1)!=X2|~v1_funct_1(k7_relat_1(esk23_0,X1))|~v1_relat_1(esk23_0)),inference(spm,[status(thm)],[711,338,theory(equality)])).
% cnf(714,negated_conjecture,(m1_pboole(k7_relat_1(esk22_0,X1),X2)|k3_xboole_0(esk21_0,X1)!=X2|~v1_funct_1(k7_relat_1(esk22_0,X1))|~v1_relat_1(esk22_0)),inference(spm,[status(thm)],[711,339,theory(equality)])).
% cnf(724,negated_conjecture,(m1_pboole(k7_relat_1(esk23_0,X1),X2)|k3_xboole_0(esk21_0,X1)!=X2|~v1_funct_1(k7_relat_1(esk23_0,X1))|$false),inference(rw,[status(thm)],[713,313,theory(equality)])).
% cnf(725,negated_conjecture,(m1_pboole(k7_relat_1(esk23_0,X1),X2)|k3_xboole_0(esk21_0,X1)!=X2|~v1_funct_1(k7_relat_1(esk23_0,X1))),inference(cn,[status(thm)],[724,theory(equality)])).
% cnf(726,negated_conjecture,(m1_pboole(k7_relat_1(esk22_0,X1),X2)|k3_xboole_0(esk21_0,X1)!=X2|~v1_funct_1(k7_relat_1(esk22_0,X1))|$false),inference(rw,[status(thm)],[714,314,theory(equality)])).
% cnf(727,negated_conjecture,(m1_pboole(k7_relat_1(esk22_0,X1),X2)|k3_xboole_0(esk21_0,X1)!=X2|~v1_funct_1(k7_relat_1(esk22_0,X1))),inference(cn,[status(thm)],[726,theory(equality)])).
% cnf(852,negated_conjecture,(m1_pboole(k7_relat_1(esk23_0,X1),X2)|k3_xboole_0(esk21_0,X1)!=X2|~v1_funct_1(esk23_0)|~v1_relat_1(esk23_0)),inference(spm,[status(thm)],[725,171,theory(equality)])).
% cnf(855,negated_conjecture,(m1_pboole(k7_relat_1(esk23_0,X1),X2)|k3_xboole_0(esk21_0,X1)!=X2|$false|~v1_relat_1(esk23_0)),inference(rw,[status(thm)],[852,320,theory(equality)])).
% cnf(856,negated_conjecture,(m1_pboole(k7_relat_1(esk23_0,X1),X2)|k3_xboole_0(esk21_0,X1)!=X2|$false|$false),inference(rw,[status(thm)],[855,313,theory(equality)])).
% cnf(857,negated_conjecture,(m1_pboole(k7_relat_1(esk23_0,X1),X2)|k3_xboole_0(esk21_0,X1)!=X2),inference(cn,[status(thm)],[856,theory(equality)])).
% cnf(858,negated_conjecture,(v1_relat_1(k7_relat_1(esk23_0,X1))|k3_xboole_0(esk21_0,X1)!=X2),inference(spm,[status(thm)],[136,857,theory(equality)])).
% cnf(859,negated_conjecture,(v1_funct_1(k7_relat_1(esk23_0,X1))|k3_xboole_0(esk21_0,X1)!=X2),inference(spm,[status(thm)],[135,857,theory(equality)])).
% cnf(860,negated_conjecture,(k1_relat_1(k7_relat_1(esk23_0,X1))=X2|k3_xboole_0(esk21_0,X1)!=X2),inference(spm,[status(thm)],[306,857,theory(equality)])).
% cnf(901,negated_conjecture,(v1_relat_1(k7_relat_1(esk23_0,X1))),inference(er,[status(thm)],[858,theory(equality)])).
% cnf(909,negated_conjecture,(v1_funct_1(k7_relat_1(esk23_0,X1))),inference(er,[status(thm)],[859,theory(equality)])).
% cnf(929,negated_conjecture,(m1_pboole(k7_relat_1(esk22_0,X1),X2)|k3_xboole_0(esk21_0,X1)!=X2|~v1_funct_1(esk22_0)|~v1_relat_1(esk22_0)),inference(spm,[status(thm)],[727,171,theory(equality)])).
% cnf(931,negated_conjecture,(m1_pboole(k7_relat_1(esk22_0,X1),X2)|k3_xboole_0(esk21_0,X1)!=X2|$false|~v1_relat_1(esk22_0)),inference(rw,[status(thm)],[929,321,theory(equality)])).
% cnf(932,negated_conjecture,(m1_pboole(k7_relat_1(esk22_0,X1),X2)|k3_xboole_0(esk21_0,X1)!=X2|$false|$false),inference(rw,[status(thm)],[931,314,theory(equality)])).
% cnf(933,negated_conjecture,(m1_pboole(k7_relat_1(esk22_0,X1),X2)|k3_xboole_0(esk21_0,X1)!=X2),inference(cn,[status(thm)],[932,theory(equality)])).
% cnf(934,negated_conjecture,(v1_relat_1(k7_relat_1(esk22_0,X1))|k3_xboole_0(esk21_0,X1)!=X2),inference(spm,[status(thm)],[136,933,theory(equality)])).
% cnf(935,negated_conjecture,(v1_funct_1(k7_relat_1(esk22_0,X1))|k3_xboole_0(esk21_0,X1)!=X2),inference(spm,[status(thm)],[135,933,theory(equality)])).
% cnf(936,negated_conjecture,(k1_relat_1(k7_relat_1(esk22_0,X1))=X2|k3_xboole_0(esk21_0,X1)!=X2),inference(spm,[status(thm)],[306,933,theory(equality)])).
% cnf(960,negated_conjecture,(v1_relat_1(k7_relat_1(esk22_0,X1))),inference(er,[status(thm)],[934,theory(equality)])).
% cnf(967,negated_conjecture,(v1_funct_1(k7_relat_1(esk22_0,X1))),inference(er,[status(thm)],[935,theory(equality)])).
% cnf(987,negated_conjecture,(k1_relat_1(k7_relat_1(esk23_0,X1))=k3_xboole_0(esk21_0,X1)),inference(er,[status(thm)],[860,theory(equality)])).
% cnf(993,negated_conjecture,(k7_relat_1(esk23_0,X1)=X2|r2_hidden(esk18_2(k7_relat_1(esk23_0,X1),X2),k3_xboole_0(esk21_0,X1))|k3_xboole_0(esk21_0,X1)!=k1_relat_1(X2)|~v1_funct_1(X2)|~v1_funct_1(k7_relat_1(esk23_0,X1))|~v1_relat_1(X2)|~v1_relat_1(k7_relat_1(esk23_0,X1))),inference(spm,[status(thm)],[255,987,theory(equality)])).
% cnf(998,negated_conjecture,(k1_funct_1(k7_relat_1(esk23_0,X1),X2)=k1_funct_1(esk23_0,X2)|~v1_funct_1(esk23_0)|~v1_relat_1(esk23_0)|~r2_hidden(X2,k3_xboole_0(esk21_0,X1))),inference(spm,[status(thm)],[239,987,theory(equality)])).
% cnf(1004,negated_conjecture,(k7_relat_1(esk23_0,X1)=X2|r2_hidden(esk18_2(k7_relat_1(esk23_0,X1),X2),k3_xboole_0(esk21_0,X1))|k3_xboole_0(esk21_0,X1)!=k1_relat_1(X2)|~v1_funct_1(X2)|$false|~v1_relat_1(X2)|~v1_relat_1(k7_relat_1(esk23_0,X1))),inference(rw,[status(thm)],[993,909,theory(equality)])).
% cnf(1005,negated_conjecture,(k7_relat_1(esk23_0,X1)=X2|r2_hidden(esk18_2(k7_relat_1(esk23_0,X1),X2),k3_xboole_0(esk21_0,X1))|k3_xboole_0(esk21_0,X1)!=k1_relat_1(X2)|~v1_funct_1(X2)|$false|~v1_relat_1(X2)|$false),inference(rw,[status(thm)],[1004,901,theory(equality)])).
% cnf(1006,negated_conjecture,(k7_relat_1(esk23_0,X1)=X2|r2_hidden(esk18_2(k7_relat_1(esk23_0,X1),X2),k3_xboole_0(esk21_0,X1))|k3_xboole_0(esk21_0,X1)!=k1_relat_1(X2)|~v1_funct_1(X2)|~v1_relat_1(X2)),inference(cn,[status(thm)],[1005,theory(equality)])).
% cnf(1018,negated_conjecture,(k1_funct_1(k7_relat_1(esk23_0,X1),X2)=k1_funct_1(esk23_0,X2)|$false|~v1_relat_1(esk23_0)|~r2_hidden(X2,k3_xboole_0(esk21_0,X1))),inference(rw,[status(thm)],[998,320,theory(equality)])).
% cnf(1019,negated_conjecture,(k1_funct_1(k7_relat_1(esk23_0,X1),X2)=k1_funct_1(esk23_0,X2)|$false|$false|~r2_hidden(X2,k3_xboole_0(esk21_0,X1))),inference(rw,[status(thm)],[1018,313,theory(equality)])).
% cnf(1020,negated_conjecture,(k1_funct_1(k7_relat_1(esk23_0,X1),X2)=k1_funct_1(esk23_0,X2)|~r2_hidden(X2,k3_xboole_0(esk21_0,X1))),inference(cn,[status(thm)],[1019,theory(equality)])).
% cnf(1066,plain,(r2_hidden(esk6_1(X1),X2)|v1_xboole_0(X1)|k1_xboole_0!=X1),inference(spm,[status(thm)],[387,358,theory(equality)])).
% cnf(1093,negated_conjecture,(k1_relat_1(k7_relat_1(esk22_0,X1))=k3_xboole_0(esk21_0,X1)),inference(er,[status(thm)],[936,theory(equality)])).
% cnf(1099,negated_conjecture,(k7_relat_1(esk22_0,X1)=X2|r2_hidden(esk18_2(k7_relat_1(esk22_0,X1),X2),k3_xboole_0(esk21_0,X1))|k3_xboole_0(esk21_0,X1)!=k1_relat_1(X2)|~v1_funct_1(X2)|~v1_funct_1(k7_relat_1(esk22_0,X1))|~v1_relat_1(X2)|~v1_relat_1(k7_relat_1(esk22_0,X1))),inference(spm,[status(thm)],[255,1093,theory(equality)])).
% cnf(1104,negated_conjecture,(k1_funct_1(k7_relat_1(esk22_0,X1),X2)=k1_funct_1(esk22_0,X2)|~v1_funct_1(esk22_0)|~v1_relat_1(esk22_0)|~r2_hidden(X2,k3_xboole_0(esk21_0,X1))),inference(spm,[status(thm)],[239,1093,theory(equality)])).
% cnf(1110,negated_conjecture,(k7_relat_1(esk22_0,X1)=X2|r2_hidden(esk18_2(k7_relat_1(esk22_0,X1),X2),k3_xboole_0(esk21_0,X1))|k3_xboole_0(esk21_0,X1)!=k1_relat_1(X2)|~v1_funct_1(X2)|$false|~v1_relat_1(X2)|~v1_relat_1(k7_relat_1(esk22_0,X1))),inference(rw,[status(thm)],[1099,967,theory(equality)])).
% cnf(1111,negated_conjecture,(k7_relat_1(esk22_0,X1)=X2|r2_hidden(esk18_2(k7_relat_1(esk22_0,X1),X2),k3_xboole_0(esk21_0,X1))|k3_xboole_0(esk21_0,X1)!=k1_relat_1(X2)|~v1_funct_1(X2)|$false|~v1_relat_1(X2)|$false),inference(rw,[status(thm)],[1110,960,theory(equality)])).
% cnf(1112,negated_conjecture,(k7_relat_1(esk22_0,X1)=X2|r2_hidden(esk18_2(k7_relat_1(esk22_0,X1),X2),k3_xboole_0(esk21_0,X1))|k3_xboole_0(esk21_0,X1)!=k1_relat_1(X2)|~v1_funct_1(X2)|~v1_relat_1(X2)),inference(cn,[status(thm)],[1111,theory(equality)])).
% cnf(1124,negated_conjecture,(k1_funct_1(k7_relat_1(esk22_0,X1),X2)=k1_funct_1(esk22_0,X2)|$false|~v1_relat_1(esk22_0)|~r2_hidden(X2,k3_xboole_0(esk21_0,X1))),inference(rw,[status(thm)],[1104,321,theory(equality)])).
% cnf(1125,negated_conjecture,(k1_funct_1(k7_relat_1(esk22_0,X1),X2)=k1_funct_1(esk22_0,X2)|$false|$false|~r2_hidden(X2,k3_xboole_0(esk21_0,X1))),inference(rw,[status(thm)],[1124,314,theory(equality)])).
% cnf(1126,negated_conjecture,(k1_funct_1(k7_relat_1(esk22_0,X1),X2)=k1_funct_1(esk22_0,X2)|~r2_hidden(X2,k3_xboole_0(esk21_0,X1))),inference(cn,[status(thm)],[1125,theory(equality)])).
% cnf(1193,plain,(v1_xboole_0(X1)|~v1_xboole_0(X2)|k1_xboole_0!=X1),inference(spm,[status(thm)],[159,1066,theory(equality)])).
% cnf(1199,plain,(v1_xboole_0(X1)|k1_xboole_0!=X1),inference(spm,[status(thm)],[1193,163,theory(equality)])).
% cnf(1204,plain,(~r2_hidden(X1,X2)|~v2_relat_1(X3)|~m1_pboole(X3,X2)|k1_xboole_0!=k1_funct_1(X3,X1)),inference(spm,[status(thm)],[116,1199,theory(equality)])).
% cnf(1620,negated_conjecture,(m1_subset_1(X1,esk21_0)|v1_xboole_0(esk21_0)|~r2_hidden(X1,k1_closure3(esk21_0,esk22_0))|~m1_pboole(esk23_0,esk21_0)),inference(spm,[status(thm)],[409,548,theory(equality)])).
% cnf(1633,negated_conjecture,(m1_subset_1(X1,esk21_0)|v1_xboole_0(esk21_0)|~r2_hidden(X1,k1_closure3(esk21_0,esk22_0))|$false),inference(rw,[status(thm)],[1620,297,theory(equality)])).
% cnf(1634,negated_conjecture,(m1_subset_1(X1,esk21_0)|v1_xboole_0(esk21_0)|~r2_hidden(X1,k1_closure3(esk21_0,esk22_0))),inference(cn,[status(thm)],[1633,theory(equality)])).
% cnf(1635,negated_conjecture,(m1_subset_1(X1,esk21_0)|~r2_hidden(X1,k1_closure3(esk21_0,esk22_0))),inference(sr,[status(thm)],[1634,301,theory(equality)])).
% cnf(3132,negated_conjecture,(m1_subset_1(esk13_3(k1_closure3(esk21_0,esk22_0),X1,k1_closure3(esk21_0,esk22_0)),esk21_0)|k3_xboole_0(k1_closure3(esk21_0,esk22_0),X1)=k1_closure3(esk21_0,esk22_0)),inference(spm,[status(thm)],[1635,440,theory(equality)])).
% cnf(3177,negated_conjecture,(r2_hidden(esk13_3(k1_closure3(esk21_0,esk22_0),X1,k1_closure3(esk21_0,esk22_0)),esk21_0)|v1_xboole_0(esk21_0)|k3_xboole_0(k1_closure3(esk21_0,esk22_0),X1)=k1_closure3(esk21_0,esk22_0)),inference(spm,[status(thm)],[231,3132,theory(equality)])).
% cnf(3178,negated_conjecture,(r2_hidden(esk13_3(k1_closure3(esk21_0,esk22_0),X1,k1_closure3(esk21_0,esk22_0)),esk21_0)|k3_xboole_0(k1_closure3(esk21_0,esk22_0),X1)=k1_closure3(esk21_0,esk22_0)),inference(sr,[status(thm)],[3177,301,theory(equality)])).
% cnf(3182,negated_conjecture,(k3_xboole_0(k1_closure3(esk21_0,esk22_0),esk21_0)=k1_closure3(esk21_0,esk22_0)|~r2_hidden(esk13_3(k1_closure3(esk21_0,esk22_0),esk21_0,k1_closure3(esk21_0,esk22_0)),k1_closure3(esk21_0,esk22_0))),inference(spm,[status(thm)],[212,3178,theory(equality)])).
% cnf(3183,negated_conjecture,(k3_xboole_0(esk21_0,k1_closure3(esk21_0,esk22_0))=k1_closure3(esk21_0,esk22_0)|~r2_hidden(esk13_3(k1_closure3(esk21_0,esk22_0),esk21_0,k1_closure3(esk21_0,esk22_0)),k1_closure3(esk21_0,esk22_0))),inference(rw,[status(thm)],[3182,154,theory(equality)])).
% cnf(3187,negated_conjecture,(k3_xboole_0(esk21_0,k1_closure3(esk21_0,esk22_0))=k1_closure3(esk21_0,esk22_0)|k3_xboole_0(k1_closure3(esk21_0,esk22_0),esk21_0)=k1_closure3(esk21_0,esk22_0)),inference(spm,[status(thm)],[3183,440,theory(equality)])).
% cnf(3192,negated_conjecture,(k3_xboole_0(esk21_0,k1_closure3(esk21_0,esk22_0))=k1_closure3(esk21_0,esk22_0)|k3_xboole_0(esk21_0,k1_closure3(esk21_0,esk22_0))=k1_closure3(esk21_0,esk22_0)),inference(rw,[status(thm)],[3187,154,theory(equality)])).
% cnf(3193,negated_conjecture,(k3_xboole_0(esk21_0,k1_closure3(esk21_0,esk22_0))=k1_closure3(esk21_0,esk22_0)),inference(cn,[status(thm)],[3192,theory(equality)])).
% cnf(3211,negated_conjecture,(r2_hidden(X1,esk21_0)|~r2_hidden(X1,k1_closure3(esk21_0,esk22_0))),inference(spm,[status(thm)],[386,3193,theory(equality)])).
% cnf(3334,negated_conjecture,(r2_hidden(esk8_2(k1_closure3(esk21_0,esk22_0),X1),esk21_0)|k1_closure3(esk21_0,esk22_0)=X1|r2_hidden(esk8_2(k1_closure3(esk21_0,esk22_0),X1),X1)),inference(spm,[status(thm)],[3211,148,theory(equality)])).
% cnf(7890,negated_conjecture,(k7_relat_1(esk23_0,X1)=X2|k1_funct_1(esk23_0,esk18_2(k7_relat_1(esk23_0,X1),X2))!=k1_funct_1(X2,esk18_2(k7_relat_1(esk23_0,X1),X2))|k1_relat_1(k7_relat_1(esk23_0,X1))!=k1_relat_1(X2)|~v1_funct_1(X2)|~v1_funct_1(k7_relat_1(esk23_0,X1))|~v1_relat_1(X2)|~v1_relat_1(k7_relat_1(esk23_0,X1))|~r2_hidden(esk18_2(k7_relat_1(esk23_0,X1),X2),k3_xboole_0(esk21_0,X1))),inference(spm,[status(thm)],[254,1020,theory(equality)])).
% cnf(7905,negated_conjecture,(k7_relat_1(esk23_0,X1)=X2|k1_funct_1(esk23_0,esk18_2(k7_relat_1(esk23_0,X1),X2))!=k1_funct_1(X2,esk18_2(k7_relat_1(esk23_0,X1),X2))|k3_xboole_0(esk21_0,X1)!=k1_relat_1(X2)|~v1_funct_1(X2)|~v1_funct_1(k7_relat_1(esk23_0,X1))|~v1_relat_1(X2)|~v1_relat_1(k7_relat_1(esk23_0,X1))|~r2_hidden(esk18_2(k7_relat_1(esk23_0,X1),X2),k3_xboole_0(esk21_0,X1))),inference(rw,[status(thm)],[7890,987,theory(equality)])).
% cnf(7906,negated_conjecture,(k7_relat_1(esk23_0,X1)=X2|k1_funct_1(esk23_0,esk18_2(k7_relat_1(esk23_0,X1),X2))!=k1_funct_1(X2,esk18_2(k7_relat_1(esk23_0,X1),X2))|k3_xboole_0(esk21_0,X1)!=k1_relat_1(X2)|~v1_funct_1(X2)|$false|~v1_relat_1(X2)|~v1_relat_1(k7_relat_1(esk23_0,X1))|~r2_hidden(esk18_2(k7_relat_1(esk23_0,X1),X2),k3_xboole_0(esk21_0,X1))),inference(rw,[status(thm)],[7905,909,theory(equality)])).
% cnf(7907,negated_conjecture,(k7_relat_1(esk23_0,X1)=X2|k1_funct_1(esk23_0,esk18_2(k7_relat_1(esk23_0,X1),X2))!=k1_funct_1(X2,esk18_2(k7_relat_1(esk23_0,X1),X2))|k3_xboole_0(esk21_0,X1)!=k1_relat_1(X2)|~v1_funct_1(X2)|$false|~v1_relat_1(X2)|$false|~r2_hidden(esk18_2(k7_relat_1(esk23_0,X1),X2),k3_xboole_0(esk21_0,X1))),inference(rw,[status(thm)],[7906,901,theory(equality)])).
% cnf(7908,negated_conjecture,(k7_relat_1(esk23_0,X1)=X2|k1_funct_1(esk23_0,esk18_2(k7_relat_1(esk23_0,X1),X2))!=k1_funct_1(X2,esk18_2(k7_relat_1(esk23_0,X1),X2))|k3_xboole_0(esk21_0,X1)!=k1_relat_1(X2)|~v1_funct_1(X2)|~v1_relat_1(X2)|~r2_hidden(esk18_2(k7_relat_1(esk23_0,X1),X2),k3_xboole_0(esk21_0,X1))),inference(cn,[status(thm)],[7907,theory(equality)])).
% cnf(8528,negated_conjecture,(k7_relat_1(esk22_0,X1)=X2|k1_funct_1(esk22_0,esk18_2(k7_relat_1(esk22_0,X1),X2))!=k1_funct_1(X2,esk18_2(k7_relat_1(esk22_0,X1),X2))|k1_relat_1(k7_relat_1(esk22_0,X1))!=k1_relat_1(X2)|~v1_funct_1(X2)|~v1_funct_1(k7_relat_1(esk22_0,X1))|~v1_relat_1(X2)|~v1_relat_1(k7_relat_1(esk22_0,X1))|~r2_hidden(esk18_2(k7_relat_1(esk22_0,X1),X2),k3_xboole_0(esk21_0,X1))),inference(spm,[status(thm)],[254,1126,theory(equality)])).
% cnf(8544,negated_conjecture,(k7_relat_1(esk22_0,X1)=X2|k1_funct_1(esk22_0,esk18_2(k7_relat_1(esk22_0,X1),X2))!=k1_funct_1(X2,esk18_2(k7_relat_1(esk22_0,X1),X2))|k3_xboole_0(esk21_0,X1)!=k1_relat_1(X2)|~v1_funct_1(X2)|~v1_funct_1(k7_relat_1(esk22_0,X1))|~v1_relat_1(X2)|~v1_relat_1(k7_relat_1(esk22_0,X1))|~r2_hidden(esk18_2(k7_relat_1(esk22_0,X1),X2),k3_xboole_0(esk21_0,X1))),inference(rw,[status(thm)],[8528,1093,theory(equality)])).
% cnf(8545,negated_conjecture,(k7_relat_1(esk22_0,X1)=X2|k1_funct_1(esk22_0,esk18_2(k7_relat_1(esk22_0,X1),X2))!=k1_funct_1(X2,esk18_2(k7_relat_1(esk22_0,X1),X2))|k3_xboole_0(esk21_0,X1)!=k1_relat_1(X2)|~v1_funct_1(X2)|$false|~v1_relat_1(X2)|~v1_relat_1(k7_relat_1(esk22_0,X1))|~r2_hidden(esk18_2(k7_relat_1(esk22_0,X1),X2),k3_xboole_0(esk21_0,X1))),inference(rw,[status(thm)],[8544,967,theory(equality)])).
% cnf(8546,negated_conjecture,(k7_relat_1(esk22_0,X1)=X2|k1_funct_1(esk22_0,esk18_2(k7_relat_1(esk22_0,X1),X2))!=k1_funct_1(X2,esk18_2(k7_relat_1(esk22_0,X1),X2))|k3_xboole_0(esk21_0,X1)!=k1_relat_1(X2)|~v1_funct_1(X2)|$false|~v1_relat_1(X2)|$false|~r2_hidden(esk18_2(k7_relat_1(esk22_0,X1),X2),k3_xboole_0(esk21_0,X1))),inference(rw,[status(thm)],[8545,960,theory(equality)])).
% cnf(8547,negated_conjecture,(k7_relat_1(esk22_0,X1)=X2|k1_funct_1(esk22_0,esk18_2(k7_relat_1(esk22_0,X1),X2))!=k1_funct_1(X2,esk18_2(k7_relat_1(esk22_0,X1),X2))|k3_xboole_0(esk21_0,X1)!=k1_relat_1(X2)|~v1_funct_1(X2)|~v1_relat_1(X2)|~r2_hidden(esk18_2(k7_relat_1(esk22_0,X1),X2),k3_xboole_0(esk21_0,X1))),inference(cn,[status(thm)],[8546,theory(equality)])).
% cnf(47149,negated_conjecture,(k1_closure3(esk21_0,esk22_0)=esk21_0|r2_hidden(esk8_2(k1_closure3(esk21_0,esk22_0),esk21_0),esk21_0)),inference(ef,[status(thm)],[3334,theory(equality)])).
% cnf(47182,negated_conjecture,(k1_closure3(esk21_0,esk22_0)=esk21_0|~r2_hidden(esk8_2(k1_closure3(esk21_0,esk22_0),esk21_0),k1_closure3(esk21_0,esk22_0))),inference(spm,[status(thm)],[149,47149,theory(equality)])).
% cnf(47183,negated_conjecture,(k1_closure3(esk21_0,esk22_0)=esk21_0|k1_funct_1(esk22_0,esk8_2(k1_closure3(esk21_0,esk22_0),esk21_0))=k1_xboole_0|v1_xboole_0(esk21_0)|~m1_subset_1(esk8_2(k1_closure3(esk21_0,esk22_0),esk21_0),esk21_0)|~m1_pboole(esk22_0,esk21_0)),inference(spm,[status(thm)],[47182,676,theory(equality)])).
% cnf(47187,negated_conjecture,(k1_closure3(esk21_0,esk22_0)=esk21_0|k1_funct_1(esk22_0,esk8_2(k1_closure3(esk21_0,esk22_0),esk21_0))=k1_xboole_0|v1_xboole_0(esk21_0)|~m1_subset_1(esk8_2(k1_closure3(esk21_0,esk22_0),esk21_0),esk21_0)|$false),inference(rw,[status(thm)],[47183,299,theory(equality)])).
% cnf(47188,negated_conjecture,(k1_closure3(esk21_0,esk22_0)=esk21_0|k1_funct_1(esk22_0,esk8_2(k1_closure3(esk21_0,esk22_0),esk21_0))=k1_xboole_0|v1_xboole_0(esk21_0)|~m1_subset_1(esk8_2(k1_closure3(esk21_0,esk22_0),esk21_0),esk21_0)),inference(cn,[status(thm)],[47187,theory(equality)])).
% cnf(47189,negated_conjecture,(k1_closure3(esk21_0,esk22_0)=esk21_0|k1_funct_1(esk22_0,esk8_2(k1_closure3(esk21_0,esk22_0),esk21_0))=k1_xboole_0|~m1_subset_1(esk8_2(k1_closure3(esk21_0,esk22_0),esk21_0),esk21_0)),inference(sr,[status(thm)],[47188,301,theory(equality)])).
% cnf(47218,negated_conjecture,(k1_funct_1(esk22_0,esk8_2(k1_closure3(esk21_0,esk22_0),esk21_0))=k1_xboole_0|k1_closure3(esk21_0,esk22_0)=esk21_0|~r2_hidden(esk8_2(k1_closure3(esk21_0,esk22_0),esk21_0),esk21_0)),inference(spm,[status(thm)],[47189,248,theory(equality)])).
% cnf(47302,negated_conjecture,(k1_funct_1(esk22_0,esk8_2(k1_closure3(esk21_0,esk22_0),esk21_0))=k1_xboole_0|k1_closure3(esk21_0,esk22_0)=esk21_0),inference(csr,[status(thm)],[47218,47149])).
% cnf(47303,negated_conjecture,(k1_closure3(esk21_0,esk22_0)=esk21_0|~r2_hidden(esk8_2(k1_closure3(esk21_0,esk22_0),esk21_0),X1)|~v2_relat_1(esk22_0)|~m1_pboole(esk22_0,X1)),inference(spm,[status(thm)],[1204,47302,theory(equality)])).
% cnf(47307,negated_conjecture,(k1_closure3(esk21_0,esk22_0)=esk21_0|~r2_hidden(esk8_2(k1_closure3(esk21_0,esk22_0),esk21_0),X1)|$false|~m1_pboole(esk22_0,X1)),inference(rw,[status(thm)],[47303,300,theory(equality)])).
% cnf(47308,negated_conjecture,(k1_closure3(esk21_0,esk22_0)=esk21_0|~r2_hidden(esk8_2(k1_closure3(esk21_0,esk22_0),esk21_0),X1)|~m1_pboole(esk22_0,X1)),inference(cn,[status(thm)],[47307,theory(equality)])).
% cnf(47324,negated_conjecture,(k1_closure3(esk21_0,esk22_0)=esk21_0|~m1_pboole(esk22_0,esk21_0)),inference(spm,[status(thm)],[47308,47149,theory(equality)])).
% cnf(47332,negated_conjecture,(k1_closure3(esk21_0,esk22_0)=esk21_0|$false),inference(rw,[status(thm)],[47324,299,theory(equality)])).
% cnf(47333,negated_conjecture,(k1_closure3(esk21_0,esk22_0)=esk21_0),inference(cn,[status(thm)],[47332,theory(equality)])).
% cnf(47741,negated_conjecture,(k7_relat_1(esk23_0,esk21_0)=k7_relat_1(esk22_0,k1_closure3(esk21_0,esk22_0))),inference(rw,[status(thm)],[302,47333,theory(equality)])).
% cnf(47742,negated_conjecture,(k7_relat_1(esk23_0,esk21_0)=k7_relat_1(esk22_0,esk21_0)),inference(rw,[status(thm)],[47741,47333,theory(equality)])).
% cnf(240985,negated_conjecture,(k7_relat_1(esk23_0,X1)=X2|k1_funct_1(esk23_0,esk18_2(k7_relat_1(esk23_0,X1),X2))!=k1_funct_1(X2,esk18_2(k7_relat_1(esk23_0,X1),X2))|k3_xboole_0(esk21_0,X1)!=k1_relat_1(X2)|~v1_funct_1(X2)|~v1_relat_1(X2)),inference(csr,[status(thm)],[7908,1006])).
% cnf(240986,negated_conjecture,(k7_relat_1(esk23_0,X1)=esk23_0|k3_xboole_0(esk21_0,X1)!=k1_relat_1(esk23_0)|~v1_funct_1(esk23_0)|~v1_relat_1(esk23_0)),inference(er,[status(thm)],[240985,theory(equality)])).
% cnf(241019,negated_conjecture,(k7_relat_1(esk23_0,X1)=esk23_0|k3_xboole_0(esk21_0,X1)!=esk21_0|~v1_funct_1(esk23_0)|~v1_relat_1(esk23_0)),inference(rw,[status(thm)],[240986,338,theory(equality)])).
% cnf(241020,negated_conjecture,(k7_relat_1(esk23_0,X1)=esk23_0|k3_xboole_0(esk21_0,X1)!=esk21_0|$false|~v1_relat_1(esk23_0)),inference(rw,[status(thm)],[241019,320,theory(equality)])).
% cnf(241021,negated_conjecture,(k7_relat_1(esk23_0,X1)=esk23_0|k3_xboole_0(esk21_0,X1)!=esk21_0|$false|$false),inference(rw,[status(thm)],[241020,313,theory(equality)])).
% cnf(241022,negated_conjecture,(k7_relat_1(esk23_0,X1)=esk23_0|k3_xboole_0(esk21_0,X1)!=esk21_0),inference(cn,[status(thm)],[241021,theory(equality)])).
% cnf(241141,negated_conjecture,(esk23_0=k7_relat_1(esk22_0,esk21_0)|k3_xboole_0(esk21_0,esk21_0)!=esk21_0),inference(spm,[status(thm)],[47742,241022,theory(equality)])).
% cnf(241639,negated_conjecture,(esk23_0=k7_relat_1(esk22_0,esk21_0)|$false),inference(rw,[status(thm)],[241141,156,theory(equality)])).
% cnf(241640,negated_conjecture,(esk23_0=k7_relat_1(esk22_0,esk21_0)),inference(cn,[status(thm)],[241639,theory(equality)])).
% cnf(252743,negated_conjecture,(k7_relat_1(esk22_0,X1)=X2|k1_funct_1(esk22_0,esk18_2(k7_relat_1(esk22_0,X1),X2))!=k1_funct_1(X2,esk18_2(k7_relat_1(esk22_0,X1),X2))|k3_xboole_0(esk21_0,X1)!=k1_relat_1(X2)|~v1_funct_1(X2)|~v1_relat_1(X2)),inference(csr,[status(thm)],[8547,1112])).
% cnf(252744,negated_conjecture,(k7_relat_1(esk22_0,X1)=esk22_0|k3_xboole_0(esk21_0,X1)!=k1_relat_1(esk22_0)|~v1_funct_1(esk22_0)|~v1_relat_1(esk22_0)),inference(er,[status(thm)],[252743,theory(equality)])).
% cnf(252773,negated_conjecture,(k7_relat_1(esk22_0,X1)=esk22_0|k3_xboole_0(esk21_0,X1)!=esk21_0|~v1_funct_1(esk22_0)|~v1_relat_1(esk22_0)),inference(rw,[status(thm)],[252744,339,theory(equality)])).
% cnf(252774,negated_conjecture,(k7_relat_1(esk22_0,X1)=esk22_0|k3_xboole_0(esk21_0,X1)!=esk21_0|$false|~v1_relat_1(esk22_0)),inference(rw,[status(thm)],[252773,321,theory(equality)])).
% cnf(252775,negated_conjecture,(k7_relat_1(esk22_0,X1)=esk22_0|k3_xboole_0(esk21_0,X1)!=esk21_0|$false|$false),inference(rw,[status(thm)],[252774,314,theory(equality)])).
% cnf(252776,negated_conjecture,(k7_relat_1(esk22_0,X1)=esk22_0|k3_xboole_0(esk21_0,X1)!=esk21_0),inference(cn,[status(thm)],[252775,theory(equality)])).
% cnf(252891,negated_conjecture,(esk22_0=esk23_0|k3_xboole_0(esk21_0,esk21_0)!=esk21_0),inference(spm,[status(thm)],[241640,252776,theory(equality)])).
% cnf(253386,negated_conjecture,(esk22_0=esk23_0|$false),inference(rw,[status(thm)],[252891,156,theory(equality)])).
% cnf(253387,negated_conjecture,(esk22_0=esk23_0),inference(cn,[status(thm)],[253386,theory(equality)])).
% cnf(253679,negated_conjecture,(~r6_pboole(esk21_0,esk22_0,esk22_0)),inference(rw,[status(thm)],[294,253387,theory(equality)])).
% cnf(253685,negated_conjecture,(~m1_pboole(esk22_0,esk21_0)),inference(spm,[status(thm)],[253679,307,theory(equality)])).
% cnf(253686,negated_conjecture,($false),inference(rw,[status(thm)],[253685,299,theory(equality)])).
% cnf(253687,negated_conjecture,($false),inference(cn,[status(thm)],[253686,theory(equality)])).
% cnf(253688,negated_conjecture,($false),253687,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 18835
% # ...of these trivial : 104
% # ...subsumed : 16125
% # ...remaining for further processing: 2606
% # Other redundant clauses eliminated : 232
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 280
% # Backward-rewritten : 837
% # Generated clauses : 109132
% # ...of the previous two non-trivial : 92452
% # Contextual simplify-reflections : 12337
% # Paramodulations : 108620
% # Factorizations : 150
% # Equation resolutions : 356
% # Current number of processed clauses: 1386
% # Positive orientable unit clauses: 81
% # Positive unorientable unit clauses: 1
% # Negative unit clauses : 16
% # Non-unit-clauses : 1288
% # Current number of unprocessed clauses: 39415
% # ...number of literals in the above : 197984
% # Clause-clause subsumption calls (NU) : 397804
% # Rec. Clause-clause subsumption calls : 319591
% # Unit Clause-clause subsumption calls : 2752
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 589
% # Indexed BW rewrite successes : 112
% # Backwards rewriting index: 958 leaves, 2.02+/-3.641 terms/leaf
% # Paramod-from index: 383 leaves, 1.62+/-2.959 terms/leaf
% # Paramod-into index: 764 leaves, 1.74+/-2.662 terms/leaf
% # -------------------------------------------------
% # User time : 6.007 s
% # System time : 0.179 s
% # Total time : 6.186 s
% # Maximum resident set size: 0 pages
% PrfWatch: 10.23 CPU 10.40 WC
% FINAL PrfWatch: 10.23 CPU 10.40 WC
% SZS output end Solution for /tmp/SystemOnTPTP30420/ALG226+1.tptp
%
%------------------------------------------------------------------------------