TSTP Solution File: SEU411+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU411+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 : Thu Dec 30 05:10:29 EST 2010
% Result : Theorem 1.92s
% Output : Solution 1.92s
% 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/SystemOnTPTP12157/SEU411+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP12157/SEU411+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP12157/SEU411+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 12253
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.016 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:(l1_orders_2(X1)=>m1_subset_1(k3_yellow_0(X1),u1_struct_0(X1))),file('/tmp/SRASS.s.p', dt_k3_yellow_0)).
% fof(4, axiom,![X1]:?[X2]:m1_subset_1(X2,X1),file('/tmp/SRASS.s.p', existence_m1_subset_1)).
% fof(9, axiom,![X1]:![X2]:(r2_hidden(X1,X2)=>m1_subset_1(X1,X2)),file('/tmp/SRASS.s.p', t1_subset)).
% fof(10, axiom,![X1]:![X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_hidden(X1,X2))),file('/tmp/SRASS.s.p', t2_subset)).
% fof(11, axiom,![X1]:![X2]:![X3]:((r2_hidden(X1,X2)&m1_subset_1(X2,k1_zfmisc_1(X3)))=>m1_subset_1(X1,X3)),file('/tmp/SRASS.s.p', t4_subset)).
% fof(14, axiom,![X1]:((((~(v3_struct_0(X1))&v4_orders_2(X1))&v1_yellow_0(X1))&l1_orders_2(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>r1_orders_2(X1,k3_yellow_0(X1),X2))),file('/tmp/SRASS.s.p', t44_yellow_0)).
% fof(15, axiom,![X1]:(l1_orders_2(X1)=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))=>(v12_waybel_0(X2,X1)<=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>((r2_hidden(X3,X2)&r1_orders_2(X1,X4,X3))=>r2_hidden(X4,X2))))))),file('/tmp/SRASS.s.p', d19_waybel_0)).
% fof(20, 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(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(31, axiom,![X1]:(X1=k1_xboole_0<=>![X2]:~(r2_hidden(X2,X1))),file('/tmp/SRASS.s.p', d1_xboole_0)).
% fof(39, conjecture,![X1]:(((((((~(v3_struct_0(X1))&v2_orders_2(X1))&v3_orders_2(X1))&v4_orders_2(X1))&v1_yellow_0(X1))&v1_lattice3(X1))&l1_orders_2(X1))=>![X2]:(((((((~(v3_struct_0(X2))&v2_orders_2(X2))&v3_orders_2(X2))&v4_orders_2(X2))&v1_yellow_0(X2))&v1_lattice3(X2))&l1_orders_2(X2))=>((((~(v1_xboole_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2))))&v1_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2))&v12_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2))&m1_subset_1(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X2))))=>r2_hidden(k3_yellow_0(X2),u1_struct_0(X1))))),file('/tmp/SRASS.s.p', t20_latsum_1)).
% fof(40, negated_conjecture,~(![X1]:(((((((~(v3_struct_0(X1))&v2_orders_2(X1))&v3_orders_2(X1))&v4_orders_2(X1))&v1_yellow_0(X1))&v1_lattice3(X1))&l1_orders_2(X1))=>![X2]:(((((((~(v3_struct_0(X2))&v2_orders_2(X2))&v3_orders_2(X2))&v4_orders_2(X2))&v1_yellow_0(X2))&v1_lattice3(X2))&l1_orders_2(X2))=>((((~(v1_xboole_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2))))&v1_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2))&v12_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2))&m1_subset_1(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X2))))=>r2_hidden(k3_yellow_0(X2),u1_struct_0(X1)))))),inference(assume_negation,[status(cth)],[39])).
% fof(45, plain,![X1]:((((~(v3_struct_0(X1))&v4_orders_2(X1))&v1_yellow_0(X1))&l1_orders_2(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>r1_orders_2(X1,k3_yellow_0(X1),X2))),inference(fof_simplification,[status(thm)],[14,theory(equality)])).
% fof(51, plain,![X1]:(X1=k1_xboole_0<=>![X2]:~(r2_hidden(X2,X1))),inference(fof_simplification,[status(thm)],[31,theory(equality)])).
% fof(52, negated_conjecture,~(![X1]:(((((((~(v3_struct_0(X1))&v2_orders_2(X1))&v3_orders_2(X1))&v4_orders_2(X1))&v1_yellow_0(X1))&v1_lattice3(X1))&l1_orders_2(X1))=>![X2]:(((((((~(v3_struct_0(X2))&v2_orders_2(X2))&v3_orders_2(X2))&v4_orders_2(X2))&v1_yellow_0(X2))&v1_lattice3(X2))&l1_orders_2(X2))=>((((~(v1_xboole_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2))))&v1_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2))&v12_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2))&m1_subset_1(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X2))))=>r2_hidden(k3_yellow_0(X2),u1_struct_0(X1)))))),inference(fof_simplification,[status(thm)],[40,theory(equality)])).
% fof(56, plain,![X1]:(~(l1_orders_2(X1))|m1_subset_1(k3_yellow_0(X1),u1_struct_0(X1))),inference(fof_nnf,[status(thm)],[2])).
% fof(57, plain,![X2]:(~(l1_orders_2(X2))|m1_subset_1(k3_yellow_0(X2),u1_struct_0(X2))),inference(variable_rename,[status(thm)],[56])).
% cnf(58,plain,(m1_subset_1(k3_yellow_0(X1),u1_struct_0(X1))|~l1_orders_2(X1)),inference(split_conjunct,[status(thm)],[57])).
% fof(62, plain,![X3]:?[X4]:m1_subset_1(X4,X3),inference(variable_rename,[status(thm)],[4])).
% fof(63, plain,![X3]:m1_subset_1(esk2_1(X3),X3),inference(skolemize,[status(esa)],[62])).
% cnf(64,plain,(m1_subset_1(esk2_1(X1),X1)),inference(split_conjunct,[status(thm)],[63])).
% fof(83, plain,![X1]:![X2]:(~(r2_hidden(X1,X2))|m1_subset_1(X1,X2)),inference(fof_nnf,[status(thm)],[9])).
% fof(84, plain,![X3]:![X4]:(~(r2_hidden(X3,X4))|m1_subset_1(X3,X4)),inference(variable_rename,[status(thm)],[83])).
% cnf(85,plain,(m1_subset_1(X1,X2)|~r2_hidden(X1,X2)),inference(split_conjunct,[status(thm)],[84])).
% fof(86, plain,![X1]:![X2]:(~(m1_subset_1(X1,X2))|(v1_xboole_0(X2)|r2_hidden(X1,X2))),inference(fof_nnf,[status(thm)],[10])).
% fof(87, plain,![X3]:![X4]:(~(m1_subset_1(X3,X4))|(v1_xboole_0(X4)|r2_hidden(X3,X4))),inference(variable_rename,[status(thm)],[86])).
% cnf(88,plain,(r2_hidden(X1,X2)|v1_xboole_0(X2)|~m1_subset_1(X1,X2)),inference(split_conjunct,[status(thm)],[87])).
% fof(89, plain,![X1]:![X2]:![X3]:((~(r2_hidden(X1,X2))|~(m1_subset_1(X2,k1_zfmisc_1(X3))))|m1_subset_1(X1,X3)),inference(fof_nnf,[status(thm)],[11])).
% fof(90, plain,![X4]:![X5]:![X6]:((~(r2_hidden(X4,X5))|~(m1_subset_1(X5,k1_zfmisc_1(X6))))|m1_subset_1(X4,X6)),inference(variable_rename,[status(thm)],[89])).
% cnf(91,plain,(m1_subset_1(X1,X2)|~m1_subset_1(X3,k1_zfmisc_1(X2))|~r2_hidden(X1,X3)),inference(split_conjunct,[status(thm)],[90])).
% fof(98, plain,![X1]:((((v3_struct_0(X1)|~(v4_orders_2(X1)))|~(v1_yellow_0(X1)))|~(l1_orders_2(X1)))|![X2]:(~(m1_subset_1(X2,u1_struct_0(X1)))|r1_orders_2(X1,k3_yellow_0(X1),X2))),inference(fof_nnf,[status(thm)],[45])).
% fof(99, plain,![X3]:((((v3_struct_0(X3)|~(v4_orders_2(X3)))|~(v1_yellow_0(X3)))|~(l1_orders_2(X3)))|![X4]:(~(m1_subset_1(X4,u1_struct_0(X3)))|r1_orders_2(X3,k3_yellow_0(X3),X4))),inference(variable_rename,[status(thm)],[98])).
% fof(100, plain,![X3]:![X4]:((~(m1_subset_1(X4,u1_struct_0(X3)))|r1_orders_2(X3,k3_yellow_0(X3),X4))|(((v3_struct_0(X3)|~(v4_orders_2(X3)))|~(v1_yellow_0(X3)))|~(l1_orders_2(X3)))),inference(shift_quantors,[status(thm)],[99])).
% cnf(101,plain,(v3_struct_0(X1)|r1_orders_2(X1,k3_yellow_0(X1),X2)|~l1_orders_2(X1)|~v1_yellow_0(X1)|~v4_orders_2(X1)|~m1_subset_1(X2,u1_struct_0(X1))),inference(split_conjunct,[status(thm)],[100])).
% fof(102, plain,![X1]:(~(l1_orders_2(X1))|![X2]:(~(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))))|((~(v12_waybel_0(X2,X1))|![X3]:(~(m1_subset_1(X3,u1_struct_0(X1)))|![X4]:(~(m1_subset_1(X4,u1_struct_0(X1)))|((~(r2_hidden(X3,X2))|~(r1_orders_2(X1,X4,X3)))|r2_hidden(X4,X2)))))&(?[X3]:(m1_subset_1(X3,u1_struct_0(X1))&?[X4]:(m1_subset_1(X4,u1_struct_0(X1))&((r2_hidden(X3,X2)&r1_orders_2(X1,X4,X3))&~(r2_hidden(X4,X2)))))|v12_waybel_0(X2,X1))))),inference(fof_nnf,[status(thm)],[15])).
% fof(103, plain,![X5]:(~(l1_orders_2(X5))|![X6]:(~(m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5))))|((~(v12_waybel_0(X6,X5))|![X7]:(~(m1_subset_1(X7,u1_struct_0(X5)))|![X8]:(~(m1_subset_1(X8,u1_struct_0(X5)))|((~(r2_hidden(X7,X6))|~(r1_orders_2(X5,X8,X7)))|r2_hidden(X8,X6)))))&(?[X9]:(m1_subset_1(X9,u1_struct_0(X5))&?[X10]:(m1_subset_1(X10,u1_struct_0(X5))&((r2_hidden(X9,X6)&r1_orders_2(X5,X10,X9))&~(r2_hidden(X10,X6)))))|v12_waybel_0(X6,X5))))),inference(variable_rename,[status(thm)],[102])).
% fof(104, plain,![X5]:(~(l1_orders_2(X5))|![X6]:(~(m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5))))|((~(v12_waybel_0(X6,X5))|![X7]:(~(m1_subset_1(X7,u1_struct_0(X5)))|![X8]:(~(m1_subset_1(X8,u1_struct_0(X5)))|((~(r2_hidden(X7,X6))|~(r1_orders_2(X5,X8,X7)))|r2_hidden(X8,X6)))))&((m1_subset_1(esk6_2(X5,X6),u1_struct_0(X5))&(m1_subset_1(esk7_2(X5,X6),u1_struct_0(X5))&((r2_hidden(esk6_2(X5,X6),X6)&r1_orders_2(X5,esk7_2(X5,X6),esk6_2(X5,X6)))&~(r2_hidden(esk7_2(X5,X6),X6)))))|v12_waybel_0(X6,X5))))),inference(skolemize,[status(esa)],[103])).
% fof(105, plain,![X5]:![X6]:![X7]:![X8]:((((((~(m1_subset_1(X8,u1_struct_0(X5)))|((~(r2_hidden(X7,X6))|~(r1_orders_2(X5,X8,X7)))|r2_hidden(X8,X6)))|~(m1_subset_1(X7,u1_struct_0(X5))))|~(v12_waybel_0(X6,X5)))&((m1_subset_1(esk6_2(X5,X6),u1_struct_0(X5))&(m1_subset_1(esk7_2(X5,X6),u1_struct_0(X5))&((r2_hidden(esk6_2(X5,X6),X6)&r1_orders_2(X5,esk7_2(X5,X6),esk6_2(X5,X6)))&~(r2_hidden(esk7_2(X5,X6),X6)))))|v12_waybel_0(X6,X5)))|~(m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))))|~(l1_orders_2(X5))),inference(shift_quantors,[status(thm)],[104])).
% fof(106, plain,![X5]:![X6]:![X7]:![X8]:((((((~(m1_subset_1(X8,u1_struct_0(X5)))|((~(r2_hidden(X7,X6))|~(r1_orders_2(X5,X8,X7)))|r2_hidden(X8,X6)))|~(m1_subset_1(X7,u1_struct_0(X5))))|~(v12_waybel_0(X6,X5)))|~(m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))))|~(l1_orders_2(X5)))&((((m1_subset_1(esk6_2(X5,X6),u1_struct_0(X5))|v12_waybel_0(X6,X5))|~(m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))))|~(l1_orders_2(X5)))&((((m1_subset_1(esk7_2(X5,X6),u1_struct_0(X5))|v12_waybel_0(X6,X5))|~(m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))))|~(l1_orders_2(X5)))&(((((r2_hidden(esk6_2(X5,X6),X6)|v12_waybel_0(X6,X5))|~(m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))))|~(l1_orders_2(X5)))&(((r1_orders_2(X5,esk7_2(X5,X6),esk6_2(X5,X6))|v12_waybel_0(X6,X5))|~(m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))))|~(l1_orders_2(X5))))&(((~(r2_hidden(esk7_2(X5,X6),X6))|v12_waybel_0(X6,X5))|~(m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))))|~(l1_orders_2(X5))))))),inference(distribute,[status(thm)],[105])).
% cnf(112,plain,(r2_hidden(X4,X2)|~l1_orders_2(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))|~v12_waybel_0(X2,X1)|~m1_subset_1(X3,u1_struct_0(X1))|~r1_orders_2(X1,X4,X3)|~r2_hidden(X3,X2)|~m1_subset_1(X4,u1_struct_0(X1))),inference(split_conjunct,[status(thm)],[106])).
% fof(130, 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)],[20])).
% fof(131, 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)],[130])).
% fof(132, 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(esk9_3(X5,X6,X7),X7))|(~(r2_hidden(esk9_3(X5,X6,X7),X5))|~(r2_hidden(esk9_3(X5,X6,X7),X6))))&(r2_hidden(esk9_3(X5,X6,X7),X7)|(r2_hidden(esk9_3(X5,X6,X7),X5)&r2_hidden(esk9_3(X5,X6,X7),X6))))|X7=k3_xboole_0(X5,X6))),inference(skolemize,[status(esa)],[131])).
% fof(133, 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(esk9_3(X5,X6,X7),X7))|(~(r2_hidden(esk9_3(X5,X6,X7),X5))|~(r2_hidden(esk9_3(X5,X6,X7),X6))))&(r2_hidden(esk9_3(X5,X6,X7),X7)|(r2_hidden(esk9_3(X5,X6,X7),X5)&r2_hidden(esk9_3(X5,X6,X7),X6))))|X7=k3_xboole_0(X5,X6))),inference(shift_quantors,[status(thm)],[132])).
% fof(134, 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(esk9_3(X5,X6,X7),X7))|(~(r2_hidden(esk9_3(X5,X6,X7),X5))|~(r2_hidden(esk9_3(X5,X6,X7),X6))))|X7=k3_xboole_0(X5,X6))&(((r2_hidden(esk9_3(X5,X6,X7),X5)|r2_hidden(esk9_3(X5,X6,X7),X7))|X7=k3_xboole_0(X5,X6))&((r2_hidden(esk9_3(X5,X6,X7),X6)|r2_hidden(esk9_3(X5,X6,X7),X7))|X7=k3_xboole_0(X5,X6))))),inference(distribute,[status(thm)],[133])).
% cnf(139,plain,(r2_hidden(X4,X3)|X1!=k3_xboole_0(X2,X3)|~r2_hidden(X4,X1)),inference(split_conjunct,[status(thm)],[134])).
% fof(145, plain,![X3]:![X4]:k3_xboole_0(X3,X4)=k3_xboole_0(X4,X3),inference(variable_rename,[status(thm)],[22])).
% cnf(146,plain,(k3_xboole_0(X1,X2)=k3_xboole_0(X2,X1)),inference(split_conjunct,[status(thm)],[145])).
% fof(147, plain,![X3]:![X4]:k3_xboole_0(X3,X3)=X3,inference(variable_rename,[status(thm)],[23])).
% cnf(148,plain,(k3_xboole_0(X1,X1)=X1),inference(split_conjunct,[status(thm)],[147])).
% fof(167, plain,![X1]:((~(X1=k1_xboole_0)|![X2]:~(r2_hidden(X2,X1)))&(?[X2]:r2_hidden(X2,X1)|X1=k1_xboole_0)),inference(fof_nnf,[status(thm)],[51])).
% fof(168, plain,![X3]:((~(X3=k1_xboole_0)|![X4]:~(r2_hidden(X4,X3)))&(?[X5]:r2_hidden(X5,X3)|X3=k1_xboole_0)),inference(variable_rename,[status(thm)],[167])).
% fof(169, plain,![X3]:((~(X3=k1_xboole_0)|![X4]:~(r2_hidden(X4,X3)))&(r2_hidden(esk12_1(X3),X3)|X3=k1_xboole_0)),inference(skolemize,[status(esa)],[168])).
% fof(170, plain,![X3]:![X4]:((~(r2_hidden(X4,X3))|~(X3=k1_xboole_0))&(r2_hidden(esk12_1(X3),X3)|X3=k1_xboole_0)),inference(shift_quantors,[status(thm)],[169])).
% cnf(171,plain,(X1=k1_xboole_0|r2_hidden(esk12_1(X1),X1)),inference(split_conjunct,[status(thm)],[170])).
% cnf(172,plain,(X1!=k1_xboole_0|~r2_hidden(X2,X1)),inference(split_conjunct,[status(thm)],[170])).
% fof(182, negated_conjecture,?[X1]:(((((((~(v3_struct_0(X1))&v2_orders_2(X1))&v3_orders_2(X1))&v4_orders_2(X1))&v1_yellow_0(X1))&v1_lattice3(X1))&l1_orders_2(X1))&?[X2]:(((((((~(v3_struct_0(X2))&v2_orders_2(X2))&v3_orders_2(X2))&v4_orders_2(X2))&v1_yellow_0(X2))&v1_lattice3(X2))&l1_orders_2(X2))&((((~(v1_xboole_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2))))&v1_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2))&v12_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2))&m1_subset_1(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X2))))&~(r2_hidden(k3_yellow_0(X2),u1_struct_0(X1)))))),inference(fof_nnf,[status(thm)],[52])).
% fof(183, negated_conjecture,?[X3]:(((((((~(v3_struct_0(X3))&v2_orders_2(X3))&v3_orders_2(X3))&v4_orders_2(X3))&v1_yellow_0(X3))&v1_lattice3(X3))&l1_orders_2(X3))&?[X4]:(((((((~(v3_struct_0(X4))&v2_orders_2(X4))&v3_orders_2(X4))&v4_orders_2(X4))&v1_yellow_0(X4))&v1_lattice3(X4))&l1_orders_2(X4))&((((~(v1_xboole_0(k3_xboole_0(u1_struct_0(X3),u1_struct_0(X4))))&v1_waybel_0(k3_xboole_0(u1_struct_0(X3),u1_struct_0(X4)),X4))&v12_waybel_0(k3_xboole_0(u1_struct_0(X3),u1_struct_0(X4)),X4))&m1_subset_1(k3_xboole_0(u1_struct_0(X3),u1_struct_0(X4)),k1_zfmisc_1(u1_struct_0(X4))))&~(r2_hidden(k3_yellow_0(X4),u1_struct_0(X3)))))),inference(variable_rename,[status(thm)],[182])).
% fof(184, negated_conjecture,(((((((~(v3_struct_0(esk13_0))&v2_orders_2(esk13_0))&v3_orders_2(esk13_0))&v4_orders_2(esk13_0))&v1_yellow_0(esk13_0))&v1_lattice3(esk13_0))&l1_orders_2(esk13_0))&(((((((~(v3_struct_0(esk14_0))&v2_orders_2(esk14_0))&v3_orders_2(esk14_0))&v4_orders_2(esk14_0))&v1_yellow_0(esk14_0))&v1_lattice3(esk14_0))&l1_orders_2(esk14_0))&((((~(v1_xboole_0(k3_xboole_0(u1_struct_0(esk13_0),u1_struct_0(esk14_0))))&v1_waybel_0(k3_xboole_0(u1_struct_0(esk13_0),u1_struct_0(esk14_0)),esk14_0))&v12_waybel_0(k3_xboole_0(u1_struct_0(esk13_0),u1_struct_0(esk14_0)),esk14_0))&m1_subset_1(k3_xboole_0(u1_struct_0(esk13_0),u1_struct_0(esk14_0)),k1_zfmisc_1(u1_struct_0(esk14_0))))&~(r2_hidden(k3_yellow_0(esk14_0),u1_struct_0(esk13_0)))))),inference(skolemize,[status(esa)],[183])).
% cnf(185,negated_conjecture,(~r2_hidden(k3_yellow_0(esk14_0),u1_struct_0(esk13_0))),inference(split_conjunct,[status(thm)],[184])).
% cnf(186,negated_conjecture,(m1_subset_1(k3_xboole_0(u1_struct_0(esk13_0),u1_struct_0(esk14_0)),k1_zfmisc_1(u1_struct_0(esk14_0)))),inference(split_conjunct,[status(thm)],[184])).
% cnf(187,negated_conjecture,(v12_waybel_0(k3_xboole_0(u1_struct_0(esk13_0),u1_struct_0(esk14_0)),esk14_0)),inference(split_conjunct,[status(thm)],[184])).
% cnf(189,negated_conjecture,(~v1_xboole_0(k3_xboole_0(u1_struct_0(esk13_0),u1_struct_0(esk14_0)))),inference(split_conjunct,[status(thm)],[184])).
% cnf(190,negated_conjecture,(l1_orders_2(esk14_0)),inference(split_conjunct,[status(thm)],[184])).
% cnf(192,negated_conjecture,(v1_yellow_0(esk14_0)),inference(split_conjunct,[status(thm)],[184])).
% cnf(193,negated_conjecture,(v4_orders_2(esk14_0)),inference(split_conjunct,[status(thm)],[184])).
% cnf(196,negated_conjecture,(~v3_struct_0(esk14_0)),inference(split_conjunct,[status(thm)],[184])).
% cnf(204,negated_conjecture,(~v1_xboole_0(k3_xboole_0(u1_struct_0(esk14_0),u1_struct_0(esk13_0)))),inference(rw,[status(thm)],[189,146,theory(equality)])).
% cnf(205,negated_conjecture,(m1_subset_1(k3_xboole_0(u1_struct_0(esk14_0),u1_struct_0(esk13_0)),k1_zfmisc_1(u1_struct_0(esk14_0)))),inference(rw,[status(thm)],[186,146,theory(equality)])).
% cnf(206,negated_conjecture,(v12_waybel_0(k3_xboole_0(u1_struct_0(esk14_0),u1_struct_0(esk13_0)),esk14_0)),inference(rw,[status(thm)],[187,146,theory(equality)])).
% cnf(208,plain,(r2_hidden(X4,X2)|~r1_orders_2(X1,X4,X3)|~v12_waybel_0(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))|~m1_subset_1(X4,u1_struct_0(X1))|~l1_orders_2(X1)|~r2_hidden(X3,X2)),inference(csr,[status(thm)],[112,91])).
% cnf(226,plain,(v1_xboole_0(X1)|r2_hidden(esk2_1(X1),X1)),inference(spm,[status(thm)],[88,64,theory(equality)])).
% cnf(231,plain,(m1_subset_1(esk12_1(X1),X1)|k1_xboole_0=X1),inference(spm,[status(thm)],[85,171,theory(equality)])).
% cnf(238,plain,(r2_hidden(X1,X2)|~r2_hidden(X1,k3_xboole_0(X3,X2))),inference(er,[status(thm)],[139,theory(equality)])).
% cnf(275,plain,(r2_hidden(k3_yellow_0(X1),X2)|v3_struct_0(X1)|~v12_waybel_0(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))|~m1_subset_1(k3_yellow_0(X1),u1_struct_0(X1))|~l1_orders_2(X1)|~r2_hidden(X3,X2)|~v1_yellow_0(X1)|~v4_orders_2(X1)|~m1_subset_1(X3,u1_struct_0(X1))),inference(spm,[status(thm)],[208,101,theory(equality)])).
% cnf(405,plain,(v1_xboole_0(X1)|k1_xboole_0!=X1),inference(spm,[status(thm)],[172,226,theory(equality)])).
% cnf(469,plain,(v1_xboole_0(X1)|r2_hidden(esk12_1(X1),X1)|k1_xboole_0=X1),inference(spm,[status(thm)],[88,231,theory(equality)])).
% cnf(614,plain,(v1_xboole_0(X1)|r2_hidden(esk12_1(X1),X1)),inference(csr,[status(thm)],[469,405])).
% cnf(623,plain,(r2_hidden(esk12_1(k3_xboole_0(X1,X2)),X2)|v1_xboole_0(k3_xboole_0(X1,X2))),inference(spm,[status(thm)],[238,614,theory(equality)])).
% cnf(2183,plain,(v3_struct_0(X1)|r2_hidden(k3_yellow_0(X1),X2)|~v1_yellow_0(X1)|~v4_orders_2(X1)|~v12_waybel_0(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))|~m1_subset_1(k3_yellow_0(X1),u1_struct_0(X1))|~l1_orders_2(X1)|~r2_hidden(X3,X2)),inference(csr,[status(thm)],[275,91])).
% cnf(2184,plain,(v3_struct_0(X1)|r2_hidden(k3_yellow_0(X1),X2)|~v1_yellow_0(X1)|~v4_orders_2(X1)|~v12_waybel_0(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))|~l1_orders_2(X1)|~r2_hidden(X3,X2)),inference(csr,[status(thm)],[2183,58])).
% cnf(2188,plain,(v3_struct_0(X1)|r2_hidden(k3_yellow_0(X1),X2)|v1_xboole_0(k3_xboole_0(X3,X2))|~v1_yellow_0(X1)|~v4_orders_2(X1)|~v12_waybel_0(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))|~l1_orders_2(X1)),inference(spm,[status(thm)],[2184,623,theory(equality)])).
% cnf(27519,negated_conjecture,(v3_struct_0(esk14_0)|v1_xboole_0(k3_xboole_0(X1,k3_xboole_0(u1_struct_0(esk14_0),u1_struct_0(esk13_0))))|r2_hidden(k3_yellow_0(esk14_0),k3_xboole_0(u1_struct_0(esk14_0),u1_struct_0(esk13_0)))|~v1_yellow_0(esk14_0)|~v4_orders_2(esk14_0)|~v12_waybel_0(k3_xboole_0(u1_struct_0(esk14_0),u1_struct_0(esk13_0)),esk14_0)|~l1_orders_2(esk14_0)),inference(spm,[status(thm)],[2188,205,theory(equality)])).
% cnf(27523,negated_conjecture,(v3_struct_0(esk14_0)|v1_xboole_0(k3_xboole_0(X1,k3_xboole_0(u1_struct_0(esk14_0),u1_struct_0(esk13_0))))|r2_hidden(k3_yellow_0(esk14_0),k3_xboole_0(u1_struct_0(esk14_0),u1_struct_0(esk13_0)))|$false|~v4_orders_2(esk14_0)|~v12_waybel_0(k3_xboole_0(u1_struct_0(esk14_0),u1_struct_0(esk13_0)),esk14_0)|~l1_orders_2(esk14_0)),inference(rw,[status(thm)],[27519,192,theory(equality)])).
% cnf(27524,negated_conjecture,(v3_struct_0(esk14_0)|v1_xboole_0(k3_xboole_0(X1,k3_xboole_0(u1_struct_0(esk14_0),u1_struct_0(esk13_0))))|r2_hidden(k3_yellow_0(esk14_0),k3_xboole_0(u1_struct_0(esk14_0),u1_struct_0(esk13_0)))|$false|$false|~v12_waybel_0(k3_xboole_0(u1_struct_0(esk14_0),u1_struct_0(esk13_0)),esk14_0)|~l1_orders_2(esk14_0)),inference(rw,[status(thm)],[27523,193,theory(equality)])).
% cnf(27525,negated_conjecture,(v3_struct_0(esk14_0)|v1_xboole_0(k3_xboole_0(X1,k3_xboole_0(u1_struct_0(esk14_0),u1_struct_0(esk13_0))))|r2_hidden(k3_yellow_0(esk14_0),k3_xboole_0(u1_struct_0(esk14_0),u1_struct_0(esk13_0)))|$false|$false|$false|~l1_orders_2(esk14_0)),inference(rw,[status(thm)],[27524,206,theory(equality)])).
% cnf(27526,negated_conjecture,(v3_struct_0(esk14_0)|v1_xboole_0(k3_xboole_0(X1,k3_xboole_0(u1_struct_0(esk14_0),u1_struct_0(esk13_0))))|r2_hidden(k3_yellow_0(esk14_0),k3_xboole_0(u1_struct_0(esk14_0),u1_struct_0(esk13_0)))|$false|$false|$false|$false),inference(rw,[status(thm)],[27525,190,theory(equality)])).
% cnf(27527,negated_conjecture,(v3_struct_0(esk14_0)|v1_xboole_0(k3_xboole_0(X1,k3_xboole_0(u1_struct_0(esk14_0),u1_struct_0(esk13_0))))|r2_hidden(k3_yellow_0(esk14_0),k3_xboole_0(u1_struct_0(esk14_0),u1_struct_0(esk13_0)))),inference(cn,[status(thm)],[27526,theory(equality)])).
% cnf(27528,negated_conjecture,(v1_xboole_0(k3_xboole_0(X1,k3_xboole_0(u1_struct_0(esk14_0),u1_struct_0(esk13_0))))|r2_hidden(k3_yellow_0(esk14_0),k3_xboole_0(u1_struct_0(esk14_0),u1_struct_0(esk13_0)))),inference(sr,[status(thm)],[27527,196,theory(equality)])).
% cnf(27590,negated_conjecture,(v1_xboole_0(k3_xboole_0(u1_struct_0(esk14_0),u1_struct_0(esk13_0)))|r2_hidden(k3_yellow_0(esk14_0),k3_xboole_0(u1_struct_0(esk14_0),u1_struct_0(esk13_0)))),inference(spm,[status(thm)],[27528,148,theory(equality)])).
% cnf(27635,negated_conjecture,(r2_hidden(k3_yellow_0(esk14_0),k3_xboole_0(u1_struct_0(esk14_0),u1_struct_0(esk13_0)))),inference(sr,[status(thm)],[27590,204,theory(equality)])).
% cnf(27650,negated_conjecture,(r2_hidden(k3_yellow_0(esk14_0),u1_struct_0(esk13_0))),inference(spm,[status(thm)],[238,27635,theory(equality)])).
% cnf(27663,negated_conjecture,($false),inference(sr,[status(thm)],[27650,185,theory(equality)])).
% cnf(27664,negated_conjecture,($false),27663,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 3467
% # ...of these trivial : 15
% # ...subsumed : 2789
% # ...remaining for further processing: 663
% # Other redundant clauses eliminated : 9
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 17
% # Backward-rewritten : 9
% # Generated clauses : 17726
% # ...of the previous two non-trivial : 11530
% # Contextual simplify-reflections : 1744
% # Paramodulations : 17680
% # Factorizations : 20
% # Equation resolutions : 21
% # Current number of processed clauses: 565
% # Positive orientable unit clauses: 49
% # Positive unorientable unit clauses: 1
% # Negative unit clauses : 26
% # Non-unit-clauses : 489
% # Current number of unprocessed clauses: 7802
% # ...number of literals in the above : 31429
% # Clause-clause subsumption calls (NU) : 81033
% # Rec. Clause-clause subsumption calls : 52559
% # Unit Clause-clause subsumption calls : 295
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 32
% # Indexed BW rewrite successes : 17
% # Backwards rewriting index: 389 leaves, 1.85+/-1.998 terms/leaf
% # Paramod-from index: 172 leaves, 1.63+/-1.887 terms/leaf
% # Paramod-into index: 340 leaves, 1.70+/-1.684 terms/leaf
% # -------------------------------------------------
% # User time : 0.655 s
% # System time : 0.014 s
% # Total time : 0.669 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.06 CPU 1.16 WC
% FINAL PrfWatch: 1.06 CPU 1.16 WC
% SZS output end Solution for /tmp/SystemOnTPTP12157/SEU411+1.tptp
%
%------------------------------------------------------------------------------