TSTP Solution File: SEU407+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU407+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 : art01.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 05:00:30 EST 2010
% Result : Theorem 1.77s
% Output : Solution 1.77s
% 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/SystemOnTPTP630/SEU407+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP630/SEU407+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP630/SEU407+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 726
% 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(5, axiom,![X1]:![X2]:(((l1_orders_2(X1)&~(v3_struct_0(X2)))&l1_orders_2(X2))=>(~(v3_struct_0(k1_latsum_1(X1,X2)))&v1_orders_2(k1_latsum_1(X1,X2)))),file('/tmp/SRASS.s.p', fc1_latsum_1)).
% fof(7, axiom,![X1]:![X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_hidden(X1,X2))),file('/tmp/SRASS.s.p', t2_subset)).
% fof(8, axiom,![X1]:![X2]:((l1_orders_2(X1)&l1_orders_2(X2))=>(v1_orders_2(k1_latsum_1(X1,X2))&l1_orders_2(k1_latsum_1(X1,X2)))),file('/tmp/SRASS.s.p', dt_k1_latsum_1)).
% fof(10, axiom,![X1]:![X2]:~((r2_hidden(X1,X2)&v1_xboole_0(X2))),file('/tmp/SRASS.s.p', t7_boole)).
% fof(11, axiom,![X1]:((~(v3_struct_0(X1))&l1_struct_0(X1))=>~(v1_xboole_0(u1_struct_0(X1)))),file('/tmp/SRASS.s.p', fc1_struct_0)).
% fof(21, axiom,![X1]:(l1_orders_2(X1)=>l1_struct_0(X1)),file('/tmp/SRASS.s.p', dt_l1_orders_2)).
% fof(23, axiom,![X1]:(l1_orders_2(X1)=>![X2]:(l1_orders_2(X2)=>![X3]:((v1_orders_2(X3)&l1_orders_2(X3))=>(X3=k1_latsum_1(X1,X2)<=>(u1_struct_0(X3)=k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))&u1_orders_2(X3)=k2_xboole_0(k2_xboole_0(u1_orders_2(X1),u1_orders_2(X2)),k7_relset_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X2),u1_orders_2(X1),u1_orders_2(X2)))))))),file('/tmp/SRASS.s.p', d2_latsum_1)).
% fof(24, axiom,![X1]:![X2]:k2_xboole_0(X1,k4_xboole_0(X2,X1))=k2_xboole_0(X1,X2),file('/tmp/SRASS.s.p', t39_xboole_1)).
% fof(27, axiom,![X1]:![X2]:![X3]:(X3=k2_xboole_0(X1,X2)<=>![X4]:(r2_hidden(X4,X3)<=>(r2_hidden(X4,X1)|r2_hidden(X4,X2)))),file('/tmp/SRASS.s.p', d2_xboole_0)).
% fof(39, axiom,![X1]:![X2]:(~(v1_xboole_0(X1))=>~(v1_xboole_0(k2_xboole_0(X2,X1)))),file('/tmp/SRASS.s.p', fc3_xboole_0)).
% fof(55, conjecture,![X1]:((~(v3_struct_0(X1))&l1_orders_2(X1))=>![X2]:((~(v3_struct_0(X2))&l1_orders_2(X2))=>![X3]:(m1_subset_1(X3,u1_struct_0(k1_latsum_1(X1,X2)))=>(r2_hidden(X3,u1_struct_0(X1))|r2_hidden(X3,k4_xboole_0(u1_struct_0(X2),u1_struct_0(X1))))))),file('/tmp/SRASS.s.p', t7_latsum_1)).
% fof(56, negated_conjecture,~(![X1]:((~(v3_struct_0(X1))&l1_orders_2(X1))=>![X2]:((~(v3_struct_0(X2))&l1_orders_2(X2))=>![X3]:(m1_subset_1(X3,u1_struct_0(k1_latsum_1(X1,X2)))=>(r2_hidden(X3,u1_struct_0(X1))|r2_hidden(X3,k4_xboole_0(u1_struct_0(X2),u1_struct_0(X1)))))))),inference(assume_negation,[status(cth)],[55])).
% fof(58, plain,![X1]:![X2]:(((l1_orders_2(X1)&~(v3_struct_0(X2)))&l1_orders_2(X2))=>(~(v3_struct_0(k1_latsum_1(X1,X2)))&v1_orders_2(k1_latsum_1(X1,X2)))),inference(fof_simplification,[status(thm)],[5,theory(equality)])).
% fof(60, plain,![X1]:((~(v3_struct_0(X1))&l1_struct_0(X1))=>~(v1_xboole_0(u1_struct_0(X1)))),inference(fof_simplification,[status(thm)],[11,theory(equality)])).
% fof(65, plain,![X1]:![X2]:(~(v1_xboole_0(X1))=>~(v1_xboole_0(k2_xboole_0(X2,X1)))),inference(fof_simplification,[status(thm)],[39,theory(equality)])).
% fof(66, negated_conjecture,~(![X1]:((~(v3_struct_0(X1))&l1_orders_2(X1))=>![X2]:((~(v3_struct_0(X2))&l1_orders_2(X2))=>![X3]:(m1_subset_1(X3,u1_struct_0(k1_latsum_1(X1,X2)))=>(r2_hidden(X3,u1_struct_0(X1))|r2_hidden(X3,k4_xboole_0(u1_struct_0(X2),u1_struct_0(X1)))))))),inference(fof_simplification,[status(thm)],[56,theory(equality)])).
% fof(79, plain,![X1]:![X2]:(((~(l1_orders_2(X1))|v3_struct_0(X2))|~(l1_orders_2(X2)))|(~(v3_struct_0(k1_latsum_1(X1,X2)))&v1_orders_2(k1_latsum_1(X1,X2)))),inference(fof_nnf,[status(thm)],[58])).
% fof(80, plain,![X3]:![X4]:(((~(l1_orders_2(X3))|v3_struct_0(X4))|~(l1_orders_2(X4)))|(~(v3_struct_0(k1_latsum_1(X3,X4)))&v1_orders_2(k1_latsum_1(X3,X4)))),inference(variable_rename,[status(thm)],[79])).
% fof(81, plain,![X3]:![X4]:((~(v3_struct_0(k1_latsum_1(X3,X4)))|((~(l1_orders_2(X3))|v3_struct_0(X4))|~(l1_orders_2(X4))))&(v1_orders_2(k1_latsum_1(X3,X4))|((~(l1_orders_2(X3))|v3_struct_0(X4))|~(l1_orders_2(X4))))),inference(distribute,[status(thm)],[80])).
% cnf(83,plain,(v3_struct_0(X1)|~l1_orders_2(X1)|~l1_orders_2(X2)|~v3_struct_0(k1_latsum_1(X2,X1))),inference(split_conjunct,[status(thm)],[81])).
% fof(89, plain,![X1]:![X2]:(~(m1_subset_1(X1,X2))|(v1_xboole_0(X2)|r2_hidden(X1,X2))),inference(fof_nnf,[status(thm)],[7])).
% fof(90, plain,![X3]:![X4]:(~(m1_subset_1(X3,X4))|(v1_xboole_0(X4)|r2_hidden(X3,X4))),inference(variable_rename,[status(thm)],[89])).
% cnf(91,plain,(r2_hidden(X1,X2)|v1_xboole_0(X2)|~m1_subset_1(X1,X2)),inference(split_conjunct,[status(thm)],[90])).
% fof(92, plain,![X1]:![X2]:((~(l1_orders_2(X1))|~(l1_orders_2(X2)))|(v1_orders_2(k1_latsum_1(X1,X2))&l1_orders_2(k1_latsum_1(X1,X2)))),inference(fof_nnf,[status(thm)],[8])).
% fof(93, plain,![X3]:![X4]:((~(l1_orders_2(X3))|~(l1_orders_2(X4)))|(v1_orders_2(k1_latsum_1(X3,X4))&l1_orders_2(k1_latsum_1(X3,X4)))),inference(variable_rename,[status(thm)],[92])).
% fof(94, plain,![X3]:![X4]:((v1_orders_2(k1_latsum_1(X3,X4))|(~(l1_orders_2(X3))|~(l1_orders_2(X4))))&(l1_orders_2(k1_latsum_1(X3,X4))|(~(l1_orders_2(X3))|~(l1_orders_2(X4))))),inference(distribute,[status(thm)],[93])).
% cnf(95,plain,(l1_orders_2(k1_latsum_1(X2,X1))|~l1_orders_2(X1)|~l1_orders_2(X2)),inference(split_conjunct,[status(thm)],[94])).
% cnf(96,plain,(v1_orders_2(k1_latsum_1(X2,X1))|~l1_orders_2(X1)|~l1_orders_2(X2)),inference(split_conjunct,[status(thm)],[94])).
% fof(100, plain,![X1]:![X2]:(~(r2_hidden(X1,X2))|~(v1_xboole_0(X2))),inference(fof_nnf,[status(thm)],[10])).
% fof(101, plain,![X3]:![X4]:(~(r2_hidden(X3,X4))|~(v1_xboole_0(X4))),inference(variable_rename,[status(thm)],[100])).
% cnf(102,plain,(~v1_xboole_0(X1)|~r2_hidden(X2,X1)),inference(split_conjunct,[status(thm)],[101])).
% fof(103, plain,![X1]:((v3_struct_0(X1)|~(l1_struct_0(X1)))|~(v1_xboole_0(u1_struct_0(X1)))),inference(fof_nnf,[status(thm)],[60])).
% fof(104, plain,![X2]:((v3_struct_0(X2)|~(l1_struct_0(X2)))|~(v1_xboole_0(u1_struct_0(X2)))),inference(variable_rename,[status(thm)],[103])).
% cnf(105,plain,(v3_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))|~l1_struct_0(X1)),inference(split_conjunct,[status(thm)],[104])).
% fof(135, plain,![X1]:(~(l1_orders_2(X1))|l1_struct_0(X1)),inference(fof_nnf,[status(thm)],[21])).
% fof(136, plain,![X2]:(~(l1_orders_2(X2))|l1_struct_0(X2)),inference(variable_rename,[status(thm)],[135])).
% cnf(137,plain,(l1_struct_0(X1)|~l1_orders_2(X1)),inference(split_conjunct,[status(thm)],[136])).
% fof(141, plain,![X1]:(~(l1_orders_2(X1))|![X2]:(~(l1_orders_2(X2))|![X3]:((~(v1_orders_2(X3))|~(l1_orders_2(X3)))|((~(X3=k1_latsum_1(X1,X2))|(u1_struct_0(X3)=k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))&u1_orders_2(X3)=k2_xboole_0(k2_xboole_0(u1_orders_2(X1),u1_orders_2(X2)),k7_relset_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X2),u1_orders_2(X1),u1_orders_2(X2)))))&((~(u1_struct_0(X3)=k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)))|~(u1_orders_2(X3)=k2_xboole_0(k2_xboole_0(u1_orders_2(X1),u1_orders_2(X2)),k7_relset_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X2),u1_orders_2(X1),u1_orders_2(X2)))))|X3=k1_latsum_1(X1,X2)))))),inference(fof_nnf,[status(thm)],[23])).
% fof(142, plain,![X4]:(~(l1_orders_2(X4))|![X5]:(~(l1_orders_2(X5))|![X6]:((~(v1_orders_2(X6))|~(l1_orders_2(X6)))|((~(X6=k1_latsum_1(X4,X5))|(u1_struct_0(X6)=k2_xboole_0(u1_struct_0(X4),u1_struct_0(X5))&u1_orders_2(X6)=k2_xboole_0(k2_xboole_0(u1_orders_2(X4),u1_orders_2(X5)),k7_relset_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X5),u1_struct_0(X5),u1_orders_2(X4),u1_orders_2(X5)))))&((~(u1_struct_0(X6)=k2_xboole_0(u1_struct_0(X4),u1_struct_0(X5)))|~(u1_orders_2(X6)=k2_xboole_0(k2_xboole_0(u1_orders_2(X4),u1_orders_2(X5)),k7_relset_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X5),u1_struct_0(X5),u1_orders_2(X4),u1_orders_2(X5)))))|X6=k1_latsum_1(X4,X5)))))),inference(variable_rename,[status(thm)],[141])).
% fof(143, plain,![X4]:![X5]:![X6]:((((~(v1_orders_2(X6))|~(l1_orders_2(X6)))|((~(X6=k1_latsum_1(X4,X5))|(u1_struct_0(X6)=k2_xboole_0(u1_struct_0(X4),u1_struct_0(X5))&u1_orders_2(X6)=k2_xboole_0(k2_xboole_0(u1_orders_2(X4),u1_orders_2(X5)),k7_relset_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X5),u1_struct_0(X5),u1_orders_2(X4),u1_orders_2(X5)))))&((~(u1_struct_0(X6)=k2_xboole_0(u1_struct_0(X4),u1_struct_0(X5)))|~(u1_orders_2(X6)=k2_xboole_0(k2_xboole_0(u1_orders_2(X4),u1_orders_2(X5)),k7_relset_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X5),u1_struct_0(X5),u1_orders_2(X4),u1_orders_2(X5)))))|X6=k1_latsum_1(X4,X5))))|~(l1_orders_2(X5)))|~(l1_orders_2(X4))),inference(shift_quantors,[status(thm)],[142])).
% fof(144, plain,![X4]:![X5]:![X6]:((((((u1_struct_0(X6)=k2_xboole_0(u1_struct_0(X4),u1_struct_0(X5))|~(X6=k1_latsum_1(X4,X5)))|(~(v1_orders_2(X6))|~(l1_orders_2(X6))))|~(l1_orders_2(X5)))|~(l1_orders_2(X4)))&((((u1_orders_2(X6)=k2_xboole_0(k2_xboole_0(u1_orders_2(X4),u1_orders_2(X5)),k7_relset_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X5),u1_struct_0(X5),u1_orders_2(X4),u1_orders_2(X5)))|~(X6=k1_latsum_1(X4,X5)))|(~(v1_orders_2(X6))|~(l1_orders_2(X6))))|~(l1_orders_2(X5)))|~(l1_orders_2(X4))))&(((((~(u1_struct_0(X6)=k2_xboole_0(u1_struct_0(X4),u1_struct_0(X5)))|~(u1_orders_2(X6)=k2_xboole_0(k2_xboole_0(u1_orders_2(X4),u1_orders_2(X5)),k7_relset_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X5),u1_struct_0(X5),u1_orders_2(X4),u1_orders_2(X5)))))|X6=k1_latsum_1(X4,X5))|(~(v1_orders_2(X6))|~(l1_orders_2(X6))))|~(l1_orders_2(X5)))|~(l1_orders_2(X4)))),inference(distribute,[status(thm)],[143])).
% cnf(147,plain,(u1_struct_0(X3)=k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))|~l1_orders_2(X1)|~l1_orders_2(X2)|~l1_orders_2(X3)|~v1_orders_2(X3)|X3!=k1_latsum_1(X1,X2)),inference(split_conjunct,[status(thm)],[144])).
% fof(148, plain,![X3]:![X4]:k2_xboole_0(X3,k4_xboole_0(X4,X3))=k2_xboole_0(X3,X4),inference(variable_rename,[status(thm)],[24])).
% cnf(149,plain,(k2_xboole_0(X1,k4_xboole_0(X2,X1))=k2_xboole_0(X1,X2)),inference(split_conjunct,[status(thm)],[148])).
% fof(154, plain,![X1]:![X2]:![X3]:((~(X3=k2_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=k2_xboole_0(X1,X2))),inference(fof_nnf,[status(thm)],[27])).
% fof(155, plain,![X5]:![X6]:![X7]:((~(X7=k2_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=k2_xboole_0(X5,X6))),inference(variable_rename,[status(thm)],[154])).
% fof(156, plain,![X5]:![X6]:![X7]:((~(X7=k2_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=k2_xboole_0(X5,X6))),inference(skolemize,[status(esa)],[155])).
% fof(157, 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=k2_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=k2_xboole_0(X5,X6))),inference(shift_quantors,[status(thm)],[156])).
% fof(158, plain,![X5]:![X6]:![X7]:![X8]:((((~(r2_hidden(X8,X7))|(r2_hidden(X8,X5)|r2_hidden(X8,X6)))|~(X7=k2_xboole_0(X5,X6)))&(((~(r2_hidden(X8,X5))|r2_hidden(X8,X7))|~(X7=k2_xboole_0(X5,X6)))&((~(r2_hidden(X8,X6))|r2_hidden(X8,X7))|~(X7=k2_xboole_0(X5,X6)))))&((((~(r2_hidden(esk9_3(X5,X6,X7),X5))|~(r2_hidden(esk9_3(X5,X6,X7),X7)))|X7=k2_xboole_0(X5,X6))&((~(r2_hidden(esk9_3(X5,X6,X7),X6))|~(r2_hidden(esk9_3(X5,X6,X7),X7)))|X7=k2_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=k2_xboole_0(X5,X6)))),inference(distribute,[status(thm)],[157])).
% cnf(164,plain,(r2_hidden(X4,X3)|r2_hidden(X4,X2)|X1!=k2_xboole_0(X2,X3)|~r2_hidden(X4,X1)),inference(split_conjunct,[status(thm)],[158])).
% fof(200, plain,![X1]:![X2]:(v1_xboole_0(X1)|~(v1_xboole_0(k2_xboole_0(X2,X1)))),inference(fof_nnf,[status(thm)],[65])).
% fof(201, plain,![X3]:![X4]:(v1_xboole_0(X3)|~(v1_xboole_0(k2_xboole_0(X4,X3)))),inference(variable_rename,[status(thm)],[200])).
% cnf(202,plain,(v1_xboole_0(X2)|~v1_xboole_0(k2_xboole_0(X1,X2))),inference(split_conjunct,[status(thm)],[201])).
% fof(231, negated_conjecture,?[X1]:((~(v3_struct_0(X1))&l1_orders_2(X1))&?[X2]:((~(v3_struct_0(X2))&l1_orders_2(X2))&?[X3]:(m1_subset_1(X3,u1_struct_0(k1_latsum_1(X1,X2)))&(~(r2_hidden(X3,u1_struct_0(X1)))&~(r2_hidden(X3,k4_xboole_0(u1_struct_0(X2),u1_struct_0(X1)))))))),inference(fof_nnf,[status(thm)],[66])).
% fof(232, negated_conjecture,?[X4]:((~(v3_struct_0(X4))&l1_orders_2(X4))&?[X5]:((~(v3_struct_0(X5))&l1_orders_2(X5))&?[X6]:(m1_subset_1(X6,u1_struct_0(k1_latsum_1(X4,X5)))&(~(r2_hidden(X6,u1_struct_0(X4)))&~(r2_hidden(X6,k4_xboole_0(u1_struct_0(X5),u1_struct_0(X4)))))))),inference(variable_rename,[status(thm)],[231])).
% fof(233, negated_conjecture,((~(v3_struct_0(esk11_0))&l1_orders_2(esk11_0))&((~(v3_struct_0(esk12_0))&l1_orders_2(esk12_0))&(m1_subset_1(esk13_0,u1_struct_0(k1_latsum_1(esk11_0,esk12_0)))&(~(r2_hidden(esk13_0,u1_struct_0(esk11_0)))&~(r2_hidden(esk13_0,k4_xboole_0(u1_struct_0(esk12_0),u1_struct_0(esk11_0)))))))),inference(skolemize,[status(esa)],[232])).
% cnf(234,negated_conjecture,(~r2_hidden(esk13_0,k4_xboole_0(u1_struct_0(esk12_0),u1_struct_0(esk11_0)))),inference(split_conjunct,[status(thm)],[233])).
% cnf(235,negated_conjecture,(~r2_hidden(esk13_0,u1_struct_0(esk11_0))),inference(split_conjunct,[status(thm)],[233])).
% cnf(236,negated_conjecture,(m1_subset_1(esk13_0,u1_struct_0(k1_latsum_1(esk11_0,esk12_0)))),inference(split_conjunct,[status(thm)],[233])).
% cnf(237,negated_conjecture,(l1_orders_2(esk12_0)),inference(split_conjunct,[status(thm)],[233])).
% cnf(238,negated_conjecture,(~v3_struct_0(esk12_0)),inference(split_conjunct,[status(thm)],[233])).
% cnf(239,negated_conjecture,(l1_orders_2(esk11_0)),inference(split_conjunct,[status(thm)],[233])).
% cnf(252,plain,(v3_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))|~l1_orders_2(X1)),inference(spm,[status(thm)],[105,137,theory(equality)])).
% cnf(271,negated_conjecture,(v1_xboole_0(u1_struct_0(k1_latsum_1(esk11_0,esk12_0)))|r2_hidden(esk13_0,u1_struct_0(k1_latsum_1(esk11_0,esk12_0)))),inference(spm,[status(thm)],[91,236,theory(equality)])).
% cnf(313,plain,(r2_hidden(X1,X2)|r2_hidden(X1,X3)|~r2_hidden(X1,k2_xboole_0(X2,X3))),inference(er,[status(thm)],[164,theory(equality)])).
% cnf(323,plain,(k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))=u1_struct_0(k1_latsum_1(X1,X2))|~v1_orders_2(k1_latsum_1(X1,X2))|~l1_orders_2(k1_latsum_1(X1,X2))|~l1_orders_2(X2)|~l1_orders_2(X1)),inference(er,[status(thm)],[147,theory(equality)])).
% cnf(369,negated_conjecture,(v3_struct_0(k1_latsum_1(esk11_0,esk12_0))|r2_hidden(esk13_0,u1_struct_0(k1_latsum_1(esk11_0,esk12_0)))|~l1_orders_2(k1_latsum_1(esk11_0,esk12_0))),inference(spm,[status(thm)],[252,271,theory(equality)])).
% cnf(370,negated_conjecture,(v3_struct_0(esk12_0)|r2_hidden(esk13_0,u1_struct_0(k1_latsum_1(esk11_0,esk12_0)))|~l1_orders_2(esk11_0)|~l1_orders_2(esk12_0)|~l1_orders_2(k1_latsum_1(esk11_0,esk12_0))),inference(spm,[status(thm)],[83,369,theory(equality)])).
% cnf(372,negated_conjecture,(v3_struct_0(esk12_0)|r2_hidden(esk13_0,u1_struct_0(k1_latsum_1(esk11_0,esk12_0)))|$false|~l1_orders_2(esk12_0)|~l1_orders_2(k1_latsum_1(esk11_0,esk12_0))),inference(rw,[status(thm)],[370,239,theory(equality)])).
% cnf(373,negated_conjecture,(v3_struct_0(esk12_0)|r2_hidden(esk13_0,u1_struct_0(k1_latsum_1(esk11_0,esk12_0)))|$false|$false|~l1_orders_2(k1_latsum_1(esk11_0,esk12_0))),inference(rw,[status(thm)],[372,237,theory(equality)])).
% cnf(374,negated_conjecture,(v3_struct_0(esk12_0)|r2_hidden(esk13_0,u1_struct_0(k1_latsum_1(esk11_0,esk12_0)))|~l1_orders_2(k1_latsum_1(esk11_0,esk12_0))),inference(cn,[status(thm)],[373,theory(equality)])).
% cnf(375,negated_conjecture,(r2_hidden(esk13_0,u1_struct_0(k1_latsum_1(esk11_0,esk12_0)))|~l1_orders_2(k1_latsum_1(esk11_0,esk12_0))),inference(sr,[status(thm)],[374,238,theory(equality)])).
% cnf(798,plain,(r2_hidden(X1,k4_xboole_0(X2,X3))|r2_hidden(X1,X3)|~r2_hidden(X1,k2_xboole_0(X3,X2))),inference(spm,[status(thm)],[313,149,theory(equality)])).
% cnf(1210,plain,(u1_struct_0(k1_latsum_1(X1,X2))=k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))|~v1_orders_2(k1_latsum_1(X1,X2))|~l1_orders_2(X2)|~l1_orders_2(X1)),inference(csr,[status(thm)],[323,95])).
% cnf(1211,plain,(u1_struct_0(k1_latsum_1(X1,X2))=k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))|~l1_orders_2(X2)|~l1_orders_2(X1)),inference(csr,[status(thm)],[1210,96])).
% cnf(1225,negated_conjecture,(m1_subset_1(esk13_0,k2_xboole_0(u1_struct_0(esk11_0),u1_struct_0(esk12_0)))|~l1_orders_2(esk12_0)|~l1_orders_2(esk11_0)),inference(spm,[status(thm)],[236,1211,theory(equality)])).
% cnf(1230,negated_conjecture,(r2_hidden(esk13_0,k2_xboole_0(u1_struct_0(esk11_0),u1_struct_0(esk12_0)))|~l1_orders_2(k1_latsum_1(esk11_0,esk12_0))|~l1_orders_2(esk12_0)|~l1_orders_2(esk11_0)),inference(spm,[status(thm)],[375,1211,theory(equality)])).
% cnf(1243,negated_conjecture,(m1_subset_1(esk13_0,k2_xboole_0(u1_struct_0(esk11_0),u1_struct_0(esk12_0)))|$false|~l1_orders_2(esk11_0)),inference(rw,[status(thm)],[1225,237,theory(equality)])).
% cnf(1244,negated_conjecture,(m1_subset_1(esk13_0,k2_xboole_0(u1_struct_0(esk11_0),u1_struct_0(esk12_0)))|$false|$false),inference(rw,[status(thm)],[1243,239,theory(equality)])).
% cnf(1245,negated_conjecture,(m1_subset_1(esk13_0,k2_xboole_0(u1_struct_0(esk11_0),u1_struct_0(esk12_0)))),inference(cn,[status(thm)],[1244,theory(equality)])).
% cnf(1258,negated_conjecture,(r2_hidden(esk13_0,k2_xboole_0(u1_struct_0(esk11_0),u1_struct_0(esk12_0)))|~l1_orders_2(k1_latsum_1(esk11_0,esk12_0))|$false|~l1_orders_2(esk11_0)),inference(rw,[status(thm)],[1230,237,theory(equality)])).
% cnf(1259,negated_conjecture,(r2_hidden(esk13_0,k2_xboole_0(u1_struct_0(esk11_0),u1_struct_0(esk12_0)))|~l1_orders_2(k1_latsum_1(esk11_0,esk12_0))|$false|$false),inference(rw,[status(thm)],[1258,239,theory(equality)])).
% cnf(1260,negated_conjecture,(r2_hidden(esk13_0,k2_xboole_0(u1_struct_0(esk11_0),u1_struct_0(esk12_0)))|~l1_orders_2(k1_latsum_1(esk11_0,esk12_0))),inference(cn,[status(thm)],[1259,theory(equality)])).
% cnf(1288,negated_conjecture,(v1_xboole_0(k2_xboole_0(u1_struct_0(esk11_0),u1_struct_0(esk12_0)))|r2_hidden(esk13_0,k2_xboole_0(u1_struct_0(esk11_0),u1_struct_0(esk12_0)))),inference(spm,[status(thm)],[91,1245,theory(equality)])).
% cnf(1291,negated_conjecture,(r2_hidden(esk13_0,u1_struct_0(esk12_0))|r2_hidden(esk13_0,u1_struct_0(esk11_0))|~l1_orders_2(k1_latsum_1(esk11_0,esk12_0))),inference(spm,[status(thm)],[313,1260,theory(equality)])).
% cnf(1292,negated_conjecture,(r2_hidden(esk13_0,u1_struct_0(esk12_0))|~l1_orders_2(k1_latsum_1(esk11_0,esk12_0))),inference(sr,[status(thm)],[1291,235,theory(equality)])).
% cnf(1293,negated_conjecture,(r2_hidden(esk13_0,u1_struct_0(esk12_0))|~l1_orders_2(esk11_0)|~l1_orders_2(esk12_0)),inference(spm,[status(thm)],[1292,95,theory(equality)])).
% cnf(1294,negated_conjecture,(r2_hidden(esk13_0,u1_struct_0(esk12_0))|$false|~l1_orders_2(esk12_0)),inference(rw,[status(thm)],[1293,239,theory(equality)])).
% cnf(1295,negated_conjecture,(r2_hidden(esk13_0,u1_struct_0(esk12_0))|$false|$false),inference(rw,[status(thm)],[1294,237,theory(equality)])).
% cnf(1296,negated_conjecture,(r2_hidden(esk13_0,u1_struct_0(esk12_0))),inference(cn,[status(thm)],[1295,theory(equality)])).
% cnf(1297,negated_conjecture,(~v1_xboole_0(u1_struct_0(esk12_0))),inference(spm,[status(thm)],[102,1296,theory(equality)])).
% cnf(1321,negated_conjecture,(v1_xboole_0(u1_struct_0(esk12_0))|r2_hidden(esk13_0,k2_xboole_0(u1_struct_0(esk11_0),u1_struct_0(esk12_0)))),inference(spm,[status(thm)],[202,1288,theory(equality)])).
% cnf(1324,negated_conjecture,(r2_hidden(esk13_0,k2_xboole_0(u1_struct_0(esk11_0),u1_struct_0(esk12_0)))),inference(sr,[status(thm)],[1321,1297,theory(equality)])).
% cnf(13412,negated_conjecture,(r2_hidden(esk13_0,u1_struct_0(esk11_0))|~r2_hidden(esk13_0,k2_xboole_0(u1_struct_0(esk11_0),u1_struct_0(esk12_0)))),inference(spm,[status(thm)],[234,798,theory(equality)])).
% cnf(13504,negated_conjecture,(r2_hidden(esk13_0,u1_struct_0(esk11_0))|$false),inference(rw,[status(thm)],[13412,1324,theory(equality)])).
% cnf(13505,negated_conjecture,(r2_hidden(esk13_0,u1_struct_0(esk11_0))),inference(cn,[status(thm)],[13504,theory(equality)])).
% cnf(13506,negated_conjecture,($false),inference(sr,[status(thm)],[13505,235,theory(equality)])).
% cnf(13507,negated_conjecture,($false),13506,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 2212
% # ...of these trivial : 15
% # ...subsumed : 1758
% # ...remaining for further processing: 439
% # Other redundant clauses eliminated : 129
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 13
% # Backward-rewritten : 9
% # Generated clauses : 8643
% # ...of the previous two non-trivial : 7519
% # Contextual simplify-reflections : 1627
% # Paramodulations : 8413
% # Factorizations : 68
% # Equation resolutions : 153
% # Current number of processed clauses: 414
% # Positive orientable unit clauses: 34
% # Positive unorientable unit clauses: 1
% # Negative unit clauses : 20
% # Non-unit-clauses : 359
% # Current number of unprocessed clauses: 4953
% # ...number of literals in the above : 21156
% # Clause-clause subsumption calls (NU) : 21523
% # Rec. Clause-clause subsumption calls : 16082
% # Unit Clause-clause subsumption calls : 818
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 11
% # Indexed BW rewrite successes : 10
% # Backwards rewriting index: 283 leaves, 1.69+/-2.018 terms/leaf
% # Paramod-from index: 122 leaves, 1.33+/-1.591 terms/leaf
% # Paramod-into index: 249 leaves, 1.50+/-1.550 terms/leaf
% # -------------------------------------------------
% # User time : 0.441 s
% # System time : 0.017 s
% # Total time : 0.458 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.74 CPU 0.84 WC
% FINAL PrfWatch: 0.74 CPU 0.84 WC
% SZS output end Solution for /tmp/SystemOnTPTP630/SEU407+1.tptp
%
%------------------------------------------------------------------------------