TSTP Solution File: SWC197+1 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWC197+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art07.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 07:20:09 EST 2010
% Result : Theorem 2.89s
% Output : Solution 2.89s
% 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/SystemOnTPTP32083/SWC197+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP32083/SWC197+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP32083/SWC197+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 32179
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.030 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(3, axiom,![X1]:(ssList(X1)=>(singletonP(X1)<=>?[X2]:(ssItem(X2)&cons(X2,nil)=X1))),file('/tmp/SRASS.s.p', ax4)).
% fof(4, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(segmentP(X1,X2)<=>?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&app(app(X3,X2),X4)=X1))))),file('/tmp/SRASS.s.p', ax7)).
% fof(5, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(neq(X1,X2)<=>~(X1=X2)))),file('/tmp/SRASS.s.p', ax15)).
% fof(6, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>ssList(cons(X2,X1)))),file('/tmp/SRASS.s.p', ax16)).
% fof(7, axiom,ssList(nil),file('/tmp/SRASS.s.p', ax17)).
% fof(11, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>~(nil=cons(X2,X1)))),file('/tmp/SRASS.s.p', ax21)).
% fof(12, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>ssList(app(X1,X2)))),file('/tmp/SRASS.s.p', ax26)).
% fof(13, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssItem(X3)=>cons(X3,app(X2,X1))=app(cons(X3,X2),X1)))),file('/tmp/SRASS.s.p', ax27)).
% fof(14, axiom,![X1]:(ssList(X1)=>app(nil,X1)=X1),file('/tmp/SRASS.s.p', ax28)).
% fof(17, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>((segmentP(X1,X2)&segmentP(X2,X1))=>X1=X2))),file('/tmp/SRASS.s.p', ax54)).
% fof(19, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(ssList(X4)=>(segmentP(X1,X2)=>segmentP(app(app(X3,X1),X4),X2)))))),file('/tmp/SRASS.s.p', ax56)).
% fof(20, axiom,![X1]:(ssList(X1)=>segmentP(X1,nil)),file('/tmp/SRASS.s.p', ax57)).
% fof(22, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>(app(X3,X2)=app(X1,X2)=>X3=X1)))),file('/tmp/SRASS.s.p', ax79)).
% fof(24, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>cons(X2,X1)=app(cons(X2,nil),X1))),file('/tmp/SRASS.s.p', ax81)).
% fof(25, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>app(app(X1,X2),X3)=app(X1,app(X2,X3))))),file('/tmp/SRASS.s.p', ax82)).
% fof(26, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(nil=app(X1,X2)<=>(nil=X2&nil=X1)))),file('/tmp/SRASS.s.p', ax83)).
% fof(28, axiom,![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>(memberP(X1,X2)<=>?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&app(X3,cons(X2,X4))=X1))))),file('/tmp/SRASS.s.p', ax3)).
% fof(37, axiom,![X1]:(ssItem(X1)=>![X2]:(ssItem(X2)=>![X3]:(ssList(X3)=>(memberP(cons(X2,X3),X1)<=>(X1=X2|memberP(X3,X1)))))),file('/tmp/SRASS.s.p', ax37)).
% fof(46, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(frontsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X2,X3)=X1)))),file('/tmp/SRASS.s.p', ax5)).
% fof(47, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(rearsegP(X1,X2)<=>?[X3]:(ssList(X3)&app(X3,X2)=X1)))),file('/tmp/SRASS.s.p', ax6)).
% fof(50, axiom,![X1]:(ssList(X1)=>(frontsegP(nil,X1)<=>nil=X1)),file('/tmp/SRASS.s.p', ax46)).
% fof(58, axiom,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>(frontsegP(X1,X2)=>frontsegP(app(X1,X3),X2))))),file('/tmp/SRASS.s.p', ax43)).
% fof(61, axiom,![X1]:(ssItem(X1)=>~(memberP(nil,X1))),file('/tmp/SRASS.s.p', ax38)).
% fof(63, axiom,![X1]:(ssList(X1)=>frontsegP(X1,nil)),file('/tmp/SRASS.s.p', ax45)).
% fof(71, axiom,![X1]:(ssList(X1)=>rearsegP(X1,X1)),file('/tmp/SRASS.s.p', ax49)).
% fof(96, conjecture,![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(ssList(X4)=>((((~(X2=X4)|~(X1=X3))|~(segmentP(X4,X3)))|![X5]:(ssItem(X5)=>![X6]:(ssItem(X6)=>![X7]:(ssList(X7)=>![X8]:(ssList(X8)=>![X9]:(ssList(X9)=>(~(app(app(app(app(X7,cons(X5,nil)),X9),cons(X6,nil)),X8)=X1)|X5=X6)))))))|(~(singletonP(X3))&neq(X4,nil))))))),file('/tmp/SRASS.s.p', co1)).
% fof(97, negated_conjecture,~(![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(ssList(X4)=>((((~(X2=X4)|~(X1=X3))|~(segmentP(X4,X3)))|![X5]:(ssItem(X5)=>![X6]:(ssItem(X6)=>![X7]:(ssList(X7)=>![X8]:(ssList(X8)=>![X9]:(ssList(X9)=>(~(app(app(app(app(X7,cons(X5,nil)),X9),cons(X6,nil)),X8)=X1)|X5=X6)))))))|(~(singletonP(X3))&neq(X4,nil)))))))),inference(assume_negation,[status(cth)],[96])).
% fof(99, plain,![X1]:(ssItem(X1)=>~(memberP(nil,X1))),inference(fof_simplification,[status(thm)],[61,theory(equality)])).
% fof(103, negated_conjecture,~(![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(ssList(X4)=>((((~(X2=X4)|~(X1=X3))|~(segmentP(X4,X3)))|![X5]:(ssItem(X5)=>![X6]:(ssItem(X6)=>![X7]:(ssList(X7)=>![X8]:(ssList(X8)=>![X9]:(ssList(X9)=>(~(app(app(app(app(X7,cons(X5,nil)),X9),cons(X6,nil)),X8)=X1)|X5=X6)))))))|(~(singletonP(X3))&neq(X4,nil)))))))),inference(fof_simplification,[status(thm)],[97,theory(equality)])).
% fof(115, plain,![X1]:(~(ssList(X1))|((~(singletonP(X1))|?[X2]:(ssItem(X2)&cons(X2,nil)=X1))&(![X2]:(~(ssItem(X2))|~(cons(X2,nil)=X1))|singletonP(X1)))),inference(fof_nnf,[status(thm)],[3])).
% fof(116, plain,![X3]:(~(ssList(X3))|((~(singletonP(X3))|?[X4]:(ssItem(X4)&cons(X4,nil)=X3))&(![X5]:(~(ssItem(X5))|~(cons(X5,nil)=X3))|singletonP(X3)))),inference(variable_rename,[status(thm)],[115])).
% fof(117, plain,![X3]:(~(ssList(X3))|((~(singletonP(X3))|(ssItem(esk3_1(X3))&cons(esk3_1(X3),nil)=X3))&(![X5]:(~(ssItem(X5))|~(cons(X5,nil)=X3))|singletonP(X3)))),inference(skolemize,[status(esa)],[116])).
% fof(118, plain,![X3]:![X5]:((((~(ssItem(X5))|~(cons(X5,nil)=X3))|singletonP(X3))&(~(singletonP(X3))|(ssItem(esk3_1(X3))&cons(esk3_1(X3),nil)=X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[117])).
% fof(119, plain,![X3]:![X5]:((((~(ssItem(X5))|~(cons(X5,nil)=X3))|singletonP(X3))|~(ssList(X3)))&(((ssItem(esk3_1(X3))|~(singletonP(X3)))|~(ssList(X3)))&((cons(esk3_1(X3),nil)=X3|~(singletonP(X3)))|~(ssList(X3))))),inference(distribute,[status(thm)],[118])).
% cnf(120,plain,(cons(esk3_1(X1),nil)=X1|~ssList(X1)|~singletonP(X1)),inference(split_conjunct,[status(thm)],[119])).
% cnf(121,plain,(ssItem(esk3_1(X1))|~ssList(X1)|~singletonP(X1)),inference(split_conjunct,[status(thm)],[119])).
% fof(123, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(segmentP(X1,X2))|?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&app(app(X3,X2),X4)=X1)))&(![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|~(app(app(X3,X2),X4)=X1)))|segmentP(X1,X2))))),inference(fof_nnf,[status(thm)],[4])).
% fof(124, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|((~(segmentP(X5,X6))|?[X7]:(ssList(X7)&?[X8]:(ssList(X8)&app(app(X7,X6),X8)=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(app(X9,X6),X10)=X5)))|segmentP(X5,X6))))),inference(variable_rename,[status(thm)],[123])).
% fof(125, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|((~(segmentP(X5,X6))|(ssList(esk4_2(X5,X6))&(ssList(esk5_2(X5,X6))&app(app(esk4_2(X5,X6),X6),esk5_2(X5,X6))=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(app(X9,X6),X10)=X5)))|segmentP(X5,X6))))),inference(skolemize,[status(esa)],[124])).
% fof(126, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(app(X9,X6),X10)=X5))|~(ssList(X9)))|segmentP(X5,X6))&(~(segmentP(X5,X6))|(ssList(esk4_2(X5,X6))&(ssList(esk5_2(X5,X6))&app(app(esk4_2(X5,X6),X6),esk5_2(X5,X6))=X5))))|~(ssList(X6)))|~(ssList(X5))),inference(shift_quantors,[status(thm)],[125])).
% fof(127, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(app(X9,X6),X10)=X5))|~(ssList(X9)))|segmentP(X5,X6))|~(ssList(X6)))|~(ssList(X5)))&((((ssList(esk4_2(X5,X6))|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))&((((ssList(esk5_2(X5,X6))|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))&(((app(app(esk4_2(X5,X6),X6),esk5_2(X5,X6))=X5|~(segmentP(X5,X6)))|~(ssList(X6)))|~(ssList(X5)))))),inference(distribute,[status(thm)],[126])).
% cnf(128,plain,(app(app(esk4_2(X1,X2),X2),esk5_2(X1,X2))=X1|~ssList(X1)|~ssList(X2)|~segmentP(X1,X2)),inference(split_conjunct,[status(thm)],[127])).
% cnf(129,plain,(ssList(esk5_2(X1,X2))|~ssList(X1)|~ssList(X2)|~segmentP(X1,X2)),inference(split_conjunct,[status(thm)],[127])).
% cnf(130,plain,(ssList(esk4_2(X1,X2))|~ssList(X1)|~ssList(X2)|~segmentP(X1,X2)),inference(split_conjunct,[status(thm)],[127])).
% cnf(131,plain,(segmentP(X1,X2)|~ssList(X1)|~ssList(X2)|~ssList(X3)|app(app(X3,X2),X4)!=X1|~ssList(X4)),inference(split_conjunct,[status(thm)],[127])).
% fof(132, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(neq(X1,X2))|~(X1=X2))&(X1=X2|neq(X1,X2))))),inference(fof_nnf,[status(thm)],[5])).
% fof(133, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))),inference(variable_rename,[status(thm)],[132])).
% fof(134, plain,![X3]:![X4]:((~(ssList(X4))|((~(neq(X3,X4))|~(X3=X4))&(X3=X4|neq(X3,X4))))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[133])).
% fof(135, plain,![X3]:![X4]:((((~(neq(X3,X4))|~(X3=X4))|~(ssList(X4)))|~(ssList(X3)))&(((X3=X4|neq(X3,X4))|~(ssList(X4)))|~(ssList(X3)))),inference(distribute,[status(thm)],[134])).
% cnf(136,plain,(neq(X1,X2)|X1=X2|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[135])).
% fof(138, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|ssList(cons(X2,X1)))),inference(fof_nnf,[status(thm)],[6])).
% fof(139, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|ssList(cons(X4,X3)))),inference(variable_rename,[status(thm)],[138])).
% fof(140, plain,![X3]:![X4]:((~(ssItem(X4))|ssList(cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[139])).
% cnf(141,plain,(ssList(cons(X2,X1))|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[140])).
% cnf(142,plain,(ssList(nil)),inference(split_conjunct,[status(thm)],[7])).
% fof(160, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|~(nil=cons(X2,X1)))),inference(fof_nnf,[status(thm)],[11])).
% fof(161, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|~(nil=cons(X4,X3)))),inference(variable_rename,[status(thm)],[160])).
% fof(162, plain,![X3]:![X4]:((~(ssItem(X4))|~(nil=cons(X4,X3)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[161])).
% cnf(163,plain,(~ssList(X1)|nil!=cons(X2,X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[162])).
% fof(164, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|ssList(app(X1,X2)))),inference(fof_nnf,[status(thm)],[12])).
% fof(165, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|ssList(app(X3,X4)))),inference(variable_rename,[status(thm)],[164])).
% fof(166, plain,![X3]:![X4]:((~(ssList(X4))|ssList(app(X3,X4)))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[165])).
% cnf(167,plain,(ssList(app(X1,X2))|~ssList(X1)|~ssList(X2)),inference(split_conjunct,[status(thm)],[166])).
% fof(168, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssItem(X3))|cons(X3,app(X2,X1))=app(cons(X3,X2),X1)))),inference(fof_nnf,[status(thm)],[13])).
% fof(169, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssItem(X6))|cons(X6,app(X5,X4))=app(cons(X6,X5),X4)))),inference(variable_rename,[status(thm)],[168])).
% fof(170, plain,![X4]:![X5]:![X6]:(((~(ssItem(X6))|cons(X6,app(X5,X4))=app(cons(X6,X5),X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[169])).
% cnf(171,plain,(cons(X3,app(X2,X1))=app(cons(X3,X2),X1)|~ssList(X1)|~ssList(X2)|~ssItem(X3)),inference(split_conjunct,[status(thm)],[170])).
% fof(172, plain,![X1]:(~(ssList(X1))|app(nil,X1)=X1),inference(fof_nnf,[status(thm)],[14])).
% fof(173, plain,![X2]:(~(ssList(X2))|app(nil,X2)=X2),inference(variable_rename,[status(thm)],[172])).
% cnf(174,plain,(app(nil,X1)=X1|~ssList(X1)),inference(split_conjunct,[status(thm)],[173])).
% fof(180, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(segmentP(X1,X2))|~(segmentP(X2,X1)))|X1=X2))),inference(fof_nnf,[status(thm)],[17])).
% fof(181, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(segmentP(X3,X4))|~(segmentP(X4,X3)))|X3=X4))),inference(variable_rename,[status(thm)],[180])).
% fof(182, plain,![X3]:![X4]:((~(ssList(X4))|((~(segmentP(X3,X4))|~(segmentP(X4,X3)))|X3=X4))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[181])).
% cnf(183,plain,(X1=X2|~ssList(X1)|~segmentP(X2,X1)|~segmentP(X1,X2)|~ssList(X2)),inference(split_conjunct,[status(thm)],[182])).
% fof(187, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|(~(segmentP(X1,X2))|segmentP(app(app(X3,X1),X4),X2)))))),inference(fof_nnf,[status(thm)],[19])).
% fof(188, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|![X7]:(~(ssList(X7))|![X8]:(~(ssList(X8))|(~(segmentP(X5,X6))|segmentP(app(app(X7,X5),X8),X6)))))),inference(variable_rename,[status(thm)],[187])).
% fof(189, plain,![X5]:![X6]:![X7]:![X8]:((((~(ssList(X8))|(~(segmentP(X5,X6))|segmentP(app(app(X7,X5),X8),X6)))|~(ssList(X7)))|~(ssList(X6)))|~(ssList(X5))),inference(shift_quantors,[status(thm)],[188])).
% cnf(190,plain,(segmentP(app(app(X3,X1),X4),X2)|~ssList(X1)|~ssList(X2)|~ssList(X3)|~segmentP(X1,X2)|~ssList(X4)),inference(split_conjunct,[status(thm)],[189])).
% fof(191, plain,![X1]:(~(ssList(X1))|segmentP(X1,nil)),inference(fof_nnf,[status(thm)],[20])).
% fof(192, plain,![X2]:(~(ssList(X2))|segmentP(X2,nil)),inference(variable_rename,[status(thm)],[191])).
% cnf(193,plain,(segmentP(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[192])).
% fof(199, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(app(X3,X2)=app(X1,X2))|X3=X1)))),inference(fof_nnf,[status(thm)],[22])).
% fof(200, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(app(X6,X5)=app(X4,X5))|X6=X4)))),inference(variable_rename,[status(thm)],[199])).
% fof(201, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(app(X6,X5)=app(X4,X5))|X6=X4))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[200])).
% cnf(202,plain,(X3=X1|~ssList(X1)|~ssList(X2)|app(X3,X2)!=app(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[201])).
% fof(207, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|cons(X2,X1)=app(cons(X2,nil),X1))),inference(fof_nnf,[status(thm)],[24])).
% fof(208, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))),inference(variable_rename,[status(thm)],[207])).
% fof(209, plain,![X3]:![X4]:((~(ssItem(X4))|cons(X4,X3)=app(cons(X4,nil),X3))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[208])).
% cnf(210,plain,(cons(X2,X1)=app(cons(X2,nil),X1)|~ssList(X1)|~ssItem(X2)),inference(split_conjunct,[status(thm)],[209])).
% fof(211, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|app(app(X1,X2),X3)=app(X1,app(X2,X3))))),inference(fof_nnf,[status(thm)],[25])).
% fof(212, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|app(app(X4,X5),X6)=app(X4,app(X5,X6))))),inference(variable_rename,[status(thm)],[211])).
% fof(213, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|app(app(X4,X5),X6)=app(X4,app(X5,X6)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[212])).
% cnf(214,plain,(app(app(X1,X2),X3)=app(X1,app(X2,X3))|~ssList(X1)|~ssList(X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[213])).
% fof(215, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(nil=app(X1,X2))|(nil=X2&nil=X1))&((~(nil=X2)|~(nil=X1))|nil=app(X1,X2))))),inference(fof_nnf,[status(thm)],[26])).
% fof(216, plain,![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|((~(nil=app(X3,X4))|(nil=X4&nil=X3))&((~(nil=X4)|~(nil=X3))|nil=app(X3,X4))))),inference(variable_rename,[status(thm)],[215])).
% fof(217, plain,![X3]:![X4]:((~(ssList(X4))|((~(nil=app(X3,X4))|(nil=X4&nil=X3))&((~(nil=X4)|~(nil=X3))|nil=app(X3,X4))))|~(ssList(X3))),inference(shift_quantors,[status(thm)],[216])).
% fof(218, plain,![X3]:![X4]:(((((nil=X4|~(nil=app(X3,X4)))|~(ssList(X4)))|~(ssList(X3)))&(((nil=X3|~(nil=app(X3,X4)))|~(ssList(X4)))|~(ssList(X3))))&((((~(nil=X4)|~(nil=X3))|nil=app(X3,X4))|~(ssList(X4)))|~(ssList(X3)))),inference(distribute,[status(thm)],[217])).
% cnf(221,plain,(nil=X2|~ssList(X1)|~ssList(X2)|nil!=app(X1,X2)),inference(split_conjunct,[status(thm)],[218])).
% fof(225, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssItem(X2))|((~(memberP(X1,X2))|?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&app(X3,cons(X2,X4))=X1)))&(![X3]:(~(ssList(X3))|![X4]:(~(ssList(X4))|~(app(X3,cons(X2,X4))=X1)))|memberP(X1,X2))))),inference(fof_nnf,[status(thm)],[28])).
% fof(226, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssItem(X6))|((~(memberP(X5,X6))|?[X7]:(ssList(X7)&?[X8]:(ssList(X8)&app(X7,cons(X6,X8))=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(X9,cons(X6,X10))=X5)))|memberP(X5,X6))))),inference(variable_rename,[status(thm)],[225])).
% fof(227, plain,![X5]:(~(ssList(X5))|![X6]:(~(ssItem(X6))|((~(memberP(X5,X6))|(ssList(esk8_2(X5,X6))&(ssList(esk9_2(X5,X6))&app(esk8_2(X5,X6),cons(X6,esk9_2(X5,X6)))=X5)))&(![X9]:(~(ssList(X9))|![X10]:(~(ssList(X10))|~(app(X9,cons(X6,X10))=X5)))|memberP(X5,X6))))),inference(skolemize,[status(esa)],[226])).
% fof(228, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(X9,cons(X6,X10))=X5))|~(ssList(X9)))|memberP(X5,X6))&(~(memberP(X5,X6))|(ssList(esk8_2(X5,X6))&(ssList(esk9_2(X5,X6))&app(esk8_2(X5,X6),cons(X6,esk9_2(X5,X6)))=X5))))|~(ssItem(X6)))|~(ssList(X5))),inference(shift_quantors,[status(thm)],[227])).
% fof(229, plain,![X5]:![X6]:![X9]:![X10]:((((((~(ssList(X10))|~(app(X9,cons(X6,X10))=X5))|~(ssList(X9)))|memberP(X5,X6))|~(ssItem(X6)))|~(ssList(X5)))&((((ssList(esk8_2(X5,X6))|~(memberP(X5,X6)))|~(ssItem(X6)))|~(ssList(X5)))&((((ssList(esk9_2(X5,X6))|~(memberP(X5,X6)))|~(ssItem(X6)))|~(ssList(X5)))&(((app(esk8_2(X5,X6),cons(X6,esk9_2(X5,X6)))=X5|~(memberP(X5,X6)))|~(ssItem(X6)))|~(ssList(X5)))))),inference(distribute,[status(thm)],[228])).
% cnf(233,plain,(memberP(X1,X2)|~ssList(X1)|~ssItem(X2)|~ssList(X3)|app(X3,cons(X2,X4))!=X1|~ssList(X4)),inference(split_conjunct,[status(thm)],[229])).
% fof(285, plain,![X1]:(~(ssItem(X1))|![X2]:(~(ssItem(X2))|![X3]:(~(ssList(X3))|((~(memberP(cons(X2,X3),X1))|(X1=X2|memberP(X3,X1)))&((~(X1=X2)&~(memberP(X3,X1)))|memberP(cons(X2,X3),X1)))))),inference(fof_nnf,[status(thm)],[37])).
% fof(286, plain,![X4]:(~(ssItem(X4))|![X5]:(~(ssItem(X5))|![X6]:(~(ssList(X6))|((~(memberP(cons(X5,X6),X4))|(X4=X5|memberP(X6,X4)))&((~(X4=X5)&~(memberP(X6,X4)))|memberP(cons(X5,X6),X4)))))),inference(variable_rename,[status(thm)],[285])).
% fof(287, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|((~(memberP(cons(X5,X6),X4))|(X4=X5|memberP(X6,X4)))&((~(X4=X5)&~(memberP(X6,X4)))|memberP(cons(X5,X6),X4))))|~(ssItem(X5)))|~(ssItem(X4))),inference(shift_quantors,[status(thm)],[286])).
% fof(288, plain,![X4]:![X5]:![X6]:(((((~(memberP(cons(X5,X6),X4))|(X4=X5|memberP(X6,X4)))|~(ssList(X6)))|~(ssItem(X5)))|~(ssItem(X4)))&(((((~(X4=X5)|memberP(cons(X5,X6),X4))|~(ssList(X6)))|~(ssItem(X5)))|~(ssItem(X4)))&((((~(memberP(X6,X4))|memberP(cons(X5,X6),X4))|~(ssList(X6)))|~(ssItem(X5)))|~(ssItem(X4))))),inference(distribute,[status(thm)],[287])).
% cnf(291,plain,(memberP(X3,X1)|X1=X2|~ssItem(X1)|~ssItem(X2)|~ssList(X3)|~memberP(cons(X2,X3),X1)),inference(split_conjunct,[status(thm)],[288])).
% fof(319, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(frontsegP(X1,X2))|?[X3]:(ssList(X3)&app(X2,X3)=X1))&(![X3]:(~(ssList(X3))|~(app(X2,X3)=X1))|frontsegP(X1,X2))))),inference(fof_nnf,[status(thm)],[46])).
% fof(320, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(frontsegP(X4,X5))|?[X6]:(ssList(X6)&app(X5,X6)=X4))&(![X7]:(~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))))),inference(variable_rename,[status(thm)],[319])).
% fof(321, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(frontsegP(X4,X5))|(ssList(esk20_2(X4,X5))&app(X5,esk20_2(X4,X5))=X4))&(![X7]:(~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))))),inference(skolemize,[status(esa)],[320])).
% fof(322, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))&(~(frontsegP(X4,X5))|(ssList(esk20_2(X4,X5))&app(X5,esk20_2(X4,X5))=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[321])).
% fof(323, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X5,X7)=X4))|frontsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk20_2(X4,X5))|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(X5,esk20_2(X4,X5))=X4|~(frontsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[322])).
% cnf(324,plain,(app(X2,esk20_2(X1,X2))=X1|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[323])).
% cnf(325,plain,(ssList(esk20_2(X1,X2))|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)),inference(split_conjunct,[status(thm)],[323])).
% cnf(326,plain,(frontsegP(X1,X2)|~ssList(X1)|~ssList(X2)|app(X2,X3)!=X1|~ssList(X3)),inference(split_conjunct,[status(thm)],[323])).
% fof(327, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|((~(rearsegP(X1,X2))|?[X3]:(ssList(X3)&app(X3,X2)=X1))&(![X3]:(~(ssList(X3))|~(app(X3,X2)=X1))|rearsegP(X1,X2))))),inference(fof_nnf,[status(thm)],[47])).
% fof(328, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(rearsegP(X4,X5))|?[X6]:(ssList(X6)&app(X6,X5)=X4))&(![X7]:(~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))))),inference(variable_rename,[status(thm)],[327])).
% fof(329, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|((~(rearsegP(X4,X5))|(ssList(esk21_2(X4,X5))&app(esk21_2(X4,X5),X5)=X4))&(![X7]:(~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))))),inference(skolemize,[status(esa)],[328])).
% fof(330, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))&(~(rearsegP(X4,X5))|(ssList(esk21_2(X4,X5))&app(esk21_2(X4,X5),X5)=X4)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[329])).
% fof(331, plain,![X4]:![X5]:![X7]:(((((~(ssList(X7))|~(app(X7,X5)=X4))|rearsegP(X4,X5))|~(ssList(X5)))|~(ssList(X4)))&((((ssList(esk21_2(X4,X5))|~(rearsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4)))&(((app(esk21_2(X4,X5),X5)=X4|~(rearsegP(X4,X5)))|~(ssList(X5)))|~(ssList(X4))))),inference(distribute,[status(thm)],[330])).
% cnf(332,plain,(app(esk21_2(X1,X2),X2)=X1|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[331])).
% cnf(333,plain,(ssList(esk21_2(X1,X2))|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)),inference(split_conjunct,[status(thm)],[331])).
% cnf(334,plain,(rearsegP(X1,X2)|~ssList(X1)|~ssList(X2)|app(X3,X2)!=X1|~ssList(X3)),inference(split_conjunct,[status(thm)],[331])).
% fof(345, plain,![X1]:(~(ssList(X1))|((~(frontsegP(nil,X1))|nil=X1)&(~(nil=X1)|frontsegP(nil,X1)))),inference(fof_nnf,[status(thm)],[50])).
% fof(346, plain,![X2]:(~(ssList(X2))|((~(frontsegP(nil,X2))|nil=X2)&(~(nil=X2)|frontsegP(nil,X2)))),inference(variable_rename,[status(thm)],[345])).
% fof(347, plain,![X2]:(((~(frontsegP(nil,X2))|nil=X2)|~(ssList(X2)))&((~(nil=X2)|frontsegP(nil,X2))|~(ssList(X2)))),inference(distribute,[status(thm)],[346])).
% cnf(348,plain,(frontsegP(nil,X1)|~ssList(X1)|nil!=X1),inference(split_conjunct,[status(thm)],[347])).
% fof(429, plain,![X1]:(~(ssList(X1))|![X2]:(~(ssList(X2))|![X3]:(~(ssList(X3))|(~(frontsegP(X1,X2))|frontsegP(app(X1,X3),X2))))),inference(fof_nnf,[status(thm)],[58])).
% fof(430, plain,![X4]:(~(ssList(X4))|![X5]:(~(ssList(X5))|![X6]:(~(ssList(X6))|(~(frontsegP(X4,X5))|frontsegP(app(X4,X6),X5))))),inference(variable_rename,[status(thm)],[429])).
% fof(431, plain,![X4]:![X5]:![X6]:(((~(ssList(X6))|(~(frontsegP(X4,X5))|frontsegP(app(X4,X6),X5)))|~(ssList(X5)))|~(ssList(X4))),inference(shift_quantors,[status(thm)],[430])).
% cnf(432,plain,(frontsegP(app(X1,X3),X2)|~ssList(X1)|~ssList(X2)|~frontsegP(X1,X2)|~ssList(X3)),inference(split_conjunct,[status(thm)],[431])).
% fof(440, plain,![X1]:(~(ssItem(X1))|~(memberP(nil,X1))),inference(fof_nnf,[status(thm)],[99])).
% fof(441, plain,![X2]:(~(ssItem(X2))|~(memberP(nil,X2))),inference(variable_rename,[status(thm)],[440])).
% cnf(442,plain,(~memberP(nil,X1)|~ssItem(X1)),inference(split_conjunct,[status(thm)],[441])).
% fof(447, plain,![X1]:(~(ssList(X1))|frontsegP(X1,nil)),inference(fof_nnf,[status(thm)],[63])).
% fof(448, plain,![X2]:(~(ssList(X2))|frontsegP(X2,nil)),inference(variable_rename,[status(thm)],[447])).
% cnf(449,plain,(frontsegP(X1,nil)|~ssList(X1)),inference(split_conjunct,[status(thm)],[448])).
% fof(476, plain,![X1]:(~(ssList(X1))|rearsegP(X1,X1)),inference(fof_nnf,[status(thm)],[71])).
% fof(477, plain,![X2]:(~(ssList(X2))|rearsegP(X2,X2)),inference(variable_rename,[status(thm)],[476])).
% cnf(478,plain,(rearsegP(X1,X1)|~ssList(X1)),inference(split_conjunct,[status(thm)],[477])).
% fof(568, negated_conjecture,?[X1]:(ssList(X1)&?[X2]:(ssList(X2)&?[X3]:(ssList(X3)&?[X4]:(ssList(X4)&((((X2=X4&X1=X3)&segmentP(X4,X3))&?[X5]:(ssItem(X5)&?[X6]:(ssItem(X6)&?[X7]:(ssList(X7)&?[X8]:(ssList(X8)&?[X9]:(ssList(X9)&(app(app(app(app(X7,cons(X5,nil)),X9),cons(X6,nil)),X8)=X1&~(X5=X6))))))))&(singletonP(X3)|~(neq(X4,nil)))))))),inference(fof_nnf,[status(thm)],[103])).
% fof(569, negated_conjecture,?[X10]:(ssList(X10)&?[X11]:(ssList(X11)&?[X12]:(ssList(X12)&?[X13]:(ssList(X13)&((((X11=X13&X10=X12)&segmentP(X13,X12))&?[X14]:(ssItem(X14)&?[X15]:(ssItem(X15)&?[X16]:(ssList(X16)&?[X17]:(ssList(X17)&?[X18]:(ssList(X18)&(app(app(app(app(X16,cons(X14,nil)),X18),cons(X15,nil)),X17)=X10&~(X14=X15))))))))&(singletonP(X12)|~(neq(X13,nil)))))))),inference(variable_rename,[status(thm)],[568])).
% fof(570, negated_conjecture,(ssList(esk48_0)&(ssList(esk49_0)&(ssList(esk50_0)&(ssList(esk51_0)&((((esk49_0=esk51_0&esk48_0=esk50_0)&segmentP(esk51_0,esk50_0))&(ssItem(esk52_0)&(ssItem(esk53_0)&(ssList(esk54_0)&(ssList(esk55_0)&(ssList(esk56_0)&(app(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),cons(esk53_0,nil)),esk55_0)=esk48_0&~(esk52_0=esk53_0))))))))&(singletonP(esk50_0)|~(neq(esk51_0,nil)))))))),inference(skolemize,[status(esa)],[569])).
% cnf(571,negated_conjecture,(singletonP(esk50_0)|~neq(esk51_0,nil)),inference(split_conjunct,[status(thm)],[570])).
% cnf(572,negated_conjecture,(esk52_0!=esk53_0),inference(split_conjunct,[status(thm)],[570])).
% cnf(573,negated_conjecture,(app(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),cons(esk53_0,nil)),esk55_0)=esk48_0),inference(split_conjunct,[status(thm)],[570])).
% cnf(574,negated_conjecture,(ssList(esk56_0)),inference(split_conjunct,[status(thm)],[570])).
% cnf(575,negated_conjecture,(ssList(esk55_0)),inference(split_conjunct,[status(thm)],[570])).
% cnf(576,negated_conjecture,(ssList(esk54_0)),inference(split_conjunct,[status(thm)],[570])).
% cnf(577,negated_conjecture,(ssItem(esk53_0)),inference(split_conjunct,[status(thm)],[570])).
% cnf(578,negated_conjecture,(ssItem(esk52_0)),inference(split_conjunct,[status(thm)],[570])).
% cnf(579,negated_conjecture,(segmentP(esk51_0,esk50_0)),inference(split_conjunct,[status(thm)],[570])).
% cnf(580,negated_conjecture,(esk48_0=esk50_0),inference(split_conjunct,[status(thm)],[570])).
% cnf(581,negated_conjecture,(esk49_0=esk51_0),inference(split_conjunct,[status(thm)],[570])).
% cnf(584,negated_conjecture,(ssList(esk49_0)),inference(split_conjunct,[status(thm)],[570])).
% cnf(585,negated_conjecture,(ssList(esk48_0)),inference(split_conjunct,[status(thm)],[570])).
% cnf(586,negated_conjecture,(ssList(esk50_0)),inference(rw,[status(thm)],[585,580,theory(equality)])).
% cnf(587,negated_conjecture,(ssList(esk51_0)),inference(rw,[status(thm)],[584,581,theory(equality)])).
% cnf(590,negated_conjecture,(app(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),cons(esk53_0,nil)),esk55_0)=esk50_0),inference(rw,[status(thm)],[573,580,theory(equality)])).
% cnf(594,plain,(frontsegP(nil,nil)|~ssList(nil)),inference(er,[status(thm)],[348,theory(equality)])).
% cnf(595,plain,(frontsegP(nil,nil)|$false),inference(rw,[status(thm)],[594,142,theory(equality)])).
% cnf(596,plain,(frontsegP(nil,nil)),inference(cn,[status(thm)],[595,theory(equality)])).
% cnf(665,negated_conjecture,(singletonP(esk50_0)|esk51_0=nil|~ssList(nil)|~ssList(esk51_0)),inference(spm,[status(thm)],[571,136,theory(equality)])).
% cnf(666,negated_conjecture,(singletonP(esk50_0)|esk51_0=nil|$false|~ssList(esk51_0)),inference(rw,[status(thm)],[665,142,theory(equality)])).
% cnf(667,negated_conjecture,(singletonP(esk50_0)|esk51_0=nil|$false|$false),inference(rw,[status(thm)],[666,587,theory(equality)])).
% cnf(668,negated_conjecture,(singletonP(esk50_0)|esk51_0=nil),inference(cn,[status(thm)],[667,theory(equality)])).
% cnf(694,negated_conjecture,(esk50_0=esk51_0|~segmentP(esk50_0,esk51_0)|~ssList(esk51_0)|~ssList(esk50_0)),inference(spm,[status(thm)],[183,579,theory(equality)])).
% cnf(696,negated_conjecture,(esk50_0=esk51_0|~segmentP(esk50_0,esk51_0)|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[694,587,theory(equality)])).
% cnf(697,negated_conjecture,(esk50_0=esk51_0|~segmentP(esk50_0,esk51_0)|$false|$false),inference(rw,[status(thm)],[696,586,theory(equality)])).
% cnf(698,negated_conjecture,(esk50_0=esk51_0|~segmentP(esk50_0,esk51_0)),inference(cn,[status(thm)],[697,theory(equality)])).
% cnf(744,plain,(X1=nil|app(X1,X2)!=X2|~ssList(nil)|~ssList(X2)|~ssList(X1)),inference(spm,[status(thm)],[202,174,theory(equality)])).
% cnf(752,plain,(X1=nil|app(X1,X2)!=X2|$false|~ssList(X2)|~ssList(X1)),inference(rw,[status(thm)],[744,142,theory(equality)])).
% cnf(753,plain,(X1=nil|app(X1,X2)!=X2|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[752,theory(equality)])).
% cnf(771,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)|~ssList(app(X1,X2))),inference(er,[status(thm)],[326,theory(equality)])).
% cnf(784,plain,(rearsegP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)|~ssList(app(X1,X2))),inference(er,[status(thm)],[334,theory(equality)])).
% cnf(857,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|~ssList(nil)|~ssList(X1)),inference(spm,[status(thm)],[432,449,theory(equality)])).
% cnf(859,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|$false|~ssList(X1)),inference(rw,[status(thm)],[857,142,theory(equality)])).
% cnf(860,plain,(frontsegP(app(X1,X2),nil)|~ssList(X2)|~ssList(X1)),inference(cn,[status(thm)],[859,theory(equality)])).
% cnf(882,plain,(app(esk21_2(X1,X1),X1)=X1|~ssList(X1)),inference(spm,[status(thm)],[332,478,theory(equality)])).
% cnf(887,plain,(ssList(cons(X1,app(X2,X3)))|~ssList(X3)|~ssList(cons(X1,X2))|~ssList(X2)|~ssItem(X1)),inference(spm,[status(thm)],[167,171,theory(equality)])).
% cnf(917,plain,(nil=X1|app(X2,app(X3,X1))!=nil|~ssList(X1)|~ssList(app(X2,X3))|~ssList(X3)|~ssList(X2)),inference(spm,[status(thm)],[221,214,theory(equality)])).
% cnf(920,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk56_0)),cons(esk53_0,nil)),esk55_0)=esk50_0|~ssList(esk56_0)|~ssList(cons(esk52_0,nil))|~ssList(esk54_0)),inference(spm,[status(thm)],[590,214,theory(equality)])).
% cnf(921,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),app(cons(esk53_0,nil),esk55_0))=esk50_0|~ssList(esk55_0)|~ssList(cons(esk53_0,nil))|~ssList(app(app(esk54_0,cons(esk52_0,nil)),esk56_0))),inference(spm,[status(thm)],[590,214,theory(equality)])).
% cnf(931,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk56_0)),cons(esk53_0,nil)),esk55_0)=esk50_0|$false|~ssList(cons(esk52_0,nil))|~ssList(esk54_0)),inference(rw,[status(thm)],[920,574,theory(equality)])).
% cnf(932,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk56_0)),cons(esk53_0,nil)),esk55_0)=esk50_0|$false|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[931,576,theory(equality)])).
% cnf(933,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk56_0)),cons(esk53_0,nil)),esk55_0)=esk50_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[932,theory(equality)])).
% cnf(934,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),app(cons(esk53_0,nil),esk55_0))=esk50_0|$false|~ssList(cons(esk53_0,nil))|~ssList(app(app(esk54_0,cons(esk52_0,nil)),esk56_0))),inference(rw,[status(thm)],[921,575,theory(equality)])).
% cnf(935,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),app(cons(esk53_0,nil),esk55_0))=esk50_0|~ssList(cons(esk53_0,nil))|~ssList(app(app(esk54_0,cons(esk52_0,nil)),esk56_0))),inference(cn,[status(thm)],[934,theory(equality)])).
% cnf(960,plain,(segmentP(app(app(X1,X2),X3),nil)|~ssList(X3)|~ssList(X1)|~ssList(nil)|~ssList(X2)),inference(spm,[status(thm)],[190,193,theory(equality)])).
% cnf(965,plain,(segmentP(app(app(X1,X2),X3),nil)|~ssList(X3)|~ssList(X1)|$false|~ssList(X2)),inference(rw,[status(thm)],[960,142,theory(equality)])).
% cnf(966,plain,(segmentP(app(app(X1,X2),X3),nil)|~ssList(X3)|~ssList(X1)|~ssList(X2)),inference(cn,[status(thm)],[965,theory(equality)])).
% cnf(967,plain,(memberP(app(X1,cons(X2,X3)),X2)|~ssList(X3)|~ssList(X1)|~ssList(app(X1,cons(X2,X3)))|~ssItem(X2)),inference(er,[status(thm)],[233,theory(equality)])).
% cnf(1013,plain,(X1=esk3_1(X2)|memberP(nil,X1)|~memberP(X2,X1)|~ssList(nil)|~ssItem(esk3_1(X2))|~ssItem(X1)|~singletonP(X2)|~ssList(X2)),inference(spm,[status(thm)],[291,120,theory(equality)])).
% cnf(1015,plain,(X1=esk3_1(X2)|memberP(nil,X1)|~memberP(X2,X1)|$false|~ssItem(esk3_1(X2))|~ssItem(X1)|~singletonP(X2)|~ssList(X2)),inference(rw,[status(thm)],[1013,142,theory(equality)])).
% cnf(1016,plain,(X1=esk3_1(X2)|memberP(nil,X1)|~memberP(X2,X1)|~ssItem(esk3_1(X2))|~ssItem(X1)|~singletonP(X2)|~ssList(X2)),inference(cn,[status(thm)],[1015,theory(equality)])).
% cnf(1400,plain,(ssList(esk20_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[325,596,theory(equality)])).
% cnf(1401,plain,(app(nil,esk20_2(nil,nil))=nil|~ssList(nil)),inference(spm,[status(thm)],[324,596,theory(equality)])).
% cnf(1404,plain,(ssList(esk20_2(nil,nil))|$false),inference(rw,[status(thm)],[1400,142,theory(equality)])).
% cnf(1405,plain,(ssList(esk20_2(nil,nil))),inference(cn,[status(thm)],[1404,theory(equality)])).
% cnf(1406,plain,(app(nil,esk20_2(nil,nil))=nil|$false),inference(rw,[status(thm)],[1401,142,theory(equality)])).
% cnf(1407,plain,(app(nil,esk20_2(nil,nil))=nil),inference(cn,[status(thm)],[1406,theory(equality)])).
% cnf(1431,plain,(nil=esk20_2(nil,nil)|~ssList(esk20_2(nil,nil))|~ssList(nil)),inference(spm,[status(thm)],[221,1407,theory(equality)])).
% cnf(1458,plain,(nil=esk20_2(nil,nil)|$false|~ssList(nil)),inference(rw,[status(thm)],[1431,1405,theory(equality)])).
% cnf(1459,plain,(nil=esk20_2(nil,nil)|$false|$false),inference(rw,[status(thm)],[1458,142,theory(equality)])).
% cnf(1460,plain,(nil=esk20_2(nil,nil)),inference(cn,[status(thm)],[1459,theory(equality)])).
% cnf(1473,plain,(app(nil,nil)=nil),inference(rw,[status(thm)],[1407,1460,theory(equality)])).
% cnf(1475,plain,(app(nil,X1)=app(nil,app(nil,X1))|~ssList(X1)|~ssList(nil)),inference(spm,[status(thm)],[214,1473,theory(equality)])).
% cnf(1487,plain,(app(nil,X1)=app(nil,app(nil,X1))|~ssList(X1)|$false),inference(rw,[status(thm)],[1475,142,theory(equality)])).
% cnf(1488,plain,(app(nil,X1)=app(nil,app(nil,X1))|~ssList(X1)),inference(cn,[status(thm)],[1487,theory(equality)])).
% cnf(1563,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk56_0)),cons(esk53_0,nil)),esk55_0)=esk50_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[933,141,theory(equality)])).
% cnf(1564,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk56_0)),cons(esk53_0,nil)),esk55_0)=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1563,142,theory(equality)])).
% cnf(1565,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk56_0)),cons(esk53_0,nil)),esk55_0)=esk50_0|$false|$false),inference(rw,[status(thm)],[1564,578,theory(equality)])).
% cnf(1566,negated_conjecture,(app(app(app(esk54_0,app(cons(esk52_0,nil),esk56_0)),cons(esk53_0,nil)),esk55_0)=esk50_0),inference(cn,[status(thm)],[1565,theory(equality)])).
% cnf(1584,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,esk56_0)),cons(esk53_0,nil)),esk55_0)=esk50_0|~ssList(esk56_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1566,210,theory(equality)])).
% cnf(1624,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,esk56_0)),cons(esk53_0,nil)),esk55_0)=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1584,574,theory(equality)])).
% cnf(1625,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,esk56_0)),cons(esk53_0,nil)),esk55_0)=esk50_0|$false|$false),inference(rw,[status(thm)],[1624,578,theory(equality)])).
% cnf(1626,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,esk56_0)),cons(esk53_0,nil)),esk55_0)=esk50_0),inference(cn,[status(thm)],[1625,theory(equality)])).
% cnf(1645,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk56_0),cons(esk53_0,nil))),esk55_0)=esk50_0|~ssList(cons(esk53_0,nil))|~ssList(cons(esk52_0,esk56_0))|~ssList(esk54_0)),inference(spm,[status(thm)],[1626,214,theory(equality)])).
% cnf(1679,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk56_0),cons(esk53_0,nil))),esk55_0)=esk50_0|~ssList(cons(esk53_0,nil))|~ssList(cons(esk52_0,esk56_0))|$false),inference(rw,[status(thm)],[1645,576,theory(equality)])).
% cnf(1680,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk56_0),cons(esk53_0,nil))),esk55_0)=esk50_0|~ssList(cons(esk53_0,nil))|~ssList(cons(esk52_0,esk56_0))),inference(cn,[status(thm)],[1679,theory(equality)])).
% cnf(1737,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk56_0),cons(esk53_0,nil))),esk55_0)=esk50_0|~ssList(cons(esk52_0,esk56_0))|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[1680,141,theory(equality)])).
% cnf(1738,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk56_0),cons(esk53_0,nil))),esk55_0)=esk50_0|~ssList(cons(esk52_0,esk56_0))|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[1737,142,theory(equality)])).
% cnf(1739,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk56_0),cons(esk53_0,nil))),esk55_0)=esk50_0|~ssList(cons(esk52_0,esk56_0))|$false|$false),inference(rw,[status(thm)],[1738,577,theory(equality)])).
% cnf(1740,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk56_0),cons(esk53_0,nil))),esk55_0)=esk50_0|~ssList(cons(esk52_0,esk56_0))),inference(cn,[status(thm)],[1739,theory(equality)])).
% cnf(1741,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk56_0),cons(esk53_0,nil))),esk55_0)=esk50_0|~ssList(esk56_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1740,141,theory(equality)])).
% cnf(1742,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk56_0),cons(esk53_0,nil))),esk55_0)=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1741,574,theory(equality)])).
% cnf(1743,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk56_0),cons(esk53_0,nil))),esk55_0)=esk50_0|$false|$false),inference(rw,[status(thm)],[1742,578,theory(equality)])).
% cnf(1744,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,esk56_0),cons(esk53_0,nil))),esk55_0)=esk50_0),inference(cn,[status(thm)],[1743,theory(equality)])).
% cnf(1761,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk56_0,cons(esk53_0,nil)))),esk55_0)=esk50_0|~ssList(esk56_0)|~ssList(cons(esk53_0,nil))|~ssItem(esk52_0)),inference(spm,[status(thm)],[1744,171,theory(equality)])).
% cnf(1798,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk56_0,cons(esk53_0,nil)))),esk55_0)=esk50_0|$false|~ssList(cons(esk53_0,nil))|~ssItem(esk52_0)),inference(rw,[status(thm)],[1761,574,theory(equality)])).
% cnf(1799,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk56_0,cons(esk53_0,nil)))),esk55_0)=esk50_0|$false|~ssList(cons(esk53_0,nil))|$false),inference(rw,[status(thm)],[1798,578,theory(equality)])).
% cnf(1800,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk56_0,cons(esk53_0,nil)))),esk55_0)=esk50_0|~ssList(cons(esk53_0,nil))),inference(cn,[status(thm)],[1799,theory(equality)])).
% cnf(1801,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk56_0,cons(esk53_0,nil)))),esk55_0)=esk50_0|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[1800,141,theory(equality)])).
% cnf(1802,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk56_0,cons(esk53_0,nil)))),esk55_0)=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[1801,142,theory(equality)])).
% cnf(1803,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk56_0,cons(esk53_0,nil)))),esk55_0)=esk50_0|$false|$false),inference(rw,[status(thm)],[1802,577,theory(equality)])).
% cnf(1804,negated_conjecture,(app(app(esk54_0,cons(esk52_0,app(esk56_0,cons(esk53_0,nil)))),esk55_0)=esk50_0),inference(cn,[status(thm)],[1803,theory(equality)])).
% cnf(1819,negated_conjecture,(esk50_0=app(esk54_0,app(cons(esk52_0,app(esk56_0,cons(esk53_0,nil))),esk55_0))|~ssList(esk55_0)|~ssList(cons(esk52_0,app(esk56_0,cons(esk53_0,nil))))|~ssList(esk54_0)),inference(spm,[status(thm)],[214,1804,theory(equality)])).
% cnf(1851,negated_conjecture,(esk50_0=app(esk54_0,app(cons(esk52_0,app(esk56_0,cons(esk53_0,nil))),esk55_0))|$false|~ssList(cons(esk52_0,app(esk56_0,cons(esk53_0,nil))))|~ssList(esk54_0)),inference(rw,[status(thm)],[1819,575,theory(equality)])).
% cnf(1852,negated_conjecture,(esk50_0=app(esk54_0,app(cons(esk52_0,app(esk56_0,cons(esk53_0,nil))),esk55_0))|$false|~ssList(cons(esk52_0,app(esk56_0,cons(esk53_0,nil))))|$false),inference(rw,[status(thm)],[1851,576,theory(equality)])).
% cnf(1853,negated_conjecture,(esk50_0=app(esk54_0,app(cons(esk52_0,app(esk56_0,cons(esk53_0,nil))),esk55_0))|~ssList(cons(esk52_0,app(esk56_0,cons(esk53_0,nil))))),inference(cn,[status(thm)],[1852,theory(equality)])).
% cnf(1862,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk56_0,cons(esk53_0,nil))),esk55_0))=esk50_0|~ssList(app(esk56_0,cons(esk53_0,nil)))|~ssItem(esk52_0)),inference(spm,[status(thm)],[1853,141,theory(equality)])).
% cnf(1863,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk56_0,cons(esk53_0,nil))),esk55_0))=esk50_0|~ssList(app(esk56_0,cons(esk53_0,nil)))|$false),inference(rw,[status(thm)],[1862,578,theory(equality)])).
% cnf(1864,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk56_0,cons(esk53_0,nil))),esk55_0))=esk50_0|~ssList(app(esk56_0,cons(esk53_0,nil)))),inference(cn,[status(thm)],[1863,theory(equality)])).
% cnf(1865,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk56_0,cons(esk53_0,nil))),esk55_0))=esk50_0|~ssList(cons(esk53_0,nil))|~ssList(esk56_0)),inference(spm,[status(thm)],[1864,167,theory(equality)])).
% cnf(1866,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk56_0,cons(esk53_0,nil))),esk55_0))=esk50_0|~ssList(cons(esk53_0,nil))|$false),inference(rw,[status(thm)],[1865,574,theory(equality)])).
% cnf(1867,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk56_0,cons(esk53_0,nil))),esk55_0))=esk50_0|~ssList(cons(esk53_0,nil))),inference(cn,[status(thm)],[1866,theory(equality)])).
% cnf(1868,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk56_0,cons(esk53_0,nil))),esk55_0))=esk50_0|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[1867,141,theory(equality)])).
% cnf(1869,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk56_0,cons(esk53_0,nil))),esk55_0))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[1868,142,theory(equality)])).
% cnf(1870,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk56_0,cons(esk53_0,nil))),esk55_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[1869,577,theory(equality)])).
% cnf(1871,negated_conjecture,(app(esk54_0,app(cons(esk52_0,app(esk56_0,cons(esk53_0,nil))),esk55_0))=esk50_0),inference(cn,[status(thm)],[1870,theory(equality)])).
% cnf(1886,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk56_0,cons(esk53_0,nil)),esk55_0)))=esk50_0|~ssList(app(esk56_0,cons(esk53_0,nil)))|~ssList(esk55_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[1871,171,theory(equality)])).
% cnf(1919,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk56_0,cons(esk53_0,nil)),esk55_0)))=esk50_0|~ssList(app(esk56_0,cons(esk53_0,nil)))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[1886,575,theory(equality)])).
% cnf(1920,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk56_0,cons(esk53_0,nil)),esk55_0)))=esk50_0|~ssList(app(esk56_0,cons(esk53_0,nil)))|$false|$false),inference(rw,[status(thm)],[1919,578,theory(equality)])).
% cnf(1921,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk56_0,cons(esk53_0,nil)),esk55_0)))=esk50_0|~ssList(app(esk56_0,cons(esk53_0,nil)))),inference(cn,[status(thm)],[1920,theory(equality)])).
% cnf(1922,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk56_0,cons(esk53_0,nil)),esk55_0)))=esk50_0|~ssList(cons(esk53_0,nil))|~ssList(esk56_0)),inference(spm,[status(thm)],[1921,167,theory(equality)])).
% cnf(1923,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk56_0,cons(esk53_0,nil)),esk55_0)))=esk50_0|~ssList(cons(esk53_0,nil))|$false),inference(rw,[status(thm)],[1922,574,theory(equality)])).
% cnf(1924,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk56_0,cons(esk53_0,nil)),esk55_0)))=esk50_0|~ssList(cons(esk53_0,nil))),inference(cn,[status(thm)],[1923,theory(equality)])).
% cnf(1925,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk56_0,cons(esk53_0,nil)),esk55_0)))=esk50_0|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[1924,141,theory(equality)])).
% cnf(1926,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk56_0,cons(esk53_0,nil)),esk55_0)))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[1925,142,theory(equality)])).
% cnf(1927,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk56_0,cons(esk53_0,nil)),esk55_0)))=esk50_0|$false|$false),inference(rw,[status(thm)],[1926,577,theory(equality)])).
% cnf(1928,negated_conjecture,(app(esk54_0,cons(esk52_0,app(app(esk56_0,cons(esk53_0,nil)),esk55_0)))=esk50_0),inference(cn,[status(thm)],[1927,theory(equality)])).
% cnf(1949,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk56_0,app(cons(esk53_0,nil),esk55_0))))=esk50_0|~ssList(esk55_0)|~ssList(cons(esk53_0,nil))|~ssList(esk56_0)),inference(spm,[status(thm)],[1928,214,theory(equality)])).
% cnf(1999,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk56_0,app(cons(esk53_0,nil),esk55_0))))=esk50_0|$false|~ssList(cons(esk53_0,nil))|~ssList(esk56_0)),inference(rw,[status(thm)],[1949,575,theory(equality)])).
% cnf(2000,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk56_0,app(cons(esk53_0,nil),esk55_0))))=esk50_0|$false|~ssList(cons(esk53_0,nil))|$false),inference(rw,[status(thm)],[1999,574,theory(equality)])).
% cnf(2001,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk56_0,app(cons(esk53_0,nil),esk55_0))))=esk50_0|~ssList(cons(esk53_0,nil))),inference(cn,[status(thm)],[2000,theory(equality)])).
% cnf(2006,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk56_0,app(cons(esk53_0,nil),esk55_0))))=esk50_0|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[2001,141,theory(equality)])).
% cnf(2007,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk56_0,app(cons(esk53_0,nil),esk55_0))))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2006,142,theory(equality)])).
% cnf(2008,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk56_0,app(cons(esk53_0,nil),esk55_0))))=esk50_0|$false|$false),inference(rw,[status(thm)],[2007,577,theory(equality)])).
% cnf(2009,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk56_0,app(cons(esk53_0,nil),esk55_0))))=esk50_0),inference(cn,[status(thm)],[2008,theory(equality)])).
% cnf(2031,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk56_0,cons(esk53_0,esk55_0))))=esk50_0|~ssList(esk55_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[2009,210,theory(equality)])).
% cnf(2084,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk56_0,cons(esk53_0,esk55_0))))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[2031,575,theory(equality)])).
% cnf(2085,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk56_0,cons(esk53_0,esk55_0))))=esk50_0|$false|$false),inference(rw,[status(thm)],[2084,577,theory(equality)])).
% cnf(2086,negated_conjecture,(app(esk54_0,cons(esk52_0,app(esk56_0,cons(esk53_0,esk55_0))))=esk50_0),inference(cn,[status(thm)],[2085,theory(equality)])).
% cnf(5259,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),app(cons(esk53_0,nil),esk55_0))=esk50_0|~ssList(app(app(esk54_0,cons(esk52_0,nil)),esk56_0))|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[935,141,theory(equality)])).
% cnf(5260,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),app(cons(esk53_0,nil),esk55_0))=esk50_0|~ssList(app(app(esk54_0,cons(esk52_0,nil)),esk56_0))|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[5259,142,theory(equality)])).
% cnf(5261,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),app(cons(esk53_0,nil),esk55_0))=esk50_0|~ssList(app(app(esk54_0,cons(esk52_0,nil)),esk56_0))|$false|$false),inference(rw,[status(thm)],[5260,577,theory(equality)])).
% cnf(5262,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),app(cons(esk53_0,nil),esk55_0))=esk50_0|~ssList(app(app(esk54_0,cons(esk52_0,nil)),esk56_0))),inference(cn,[status(thm)],[5261,theory(equality)])).
% cnf(5264,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),app(cons(esk53_0,nil),esk55_0))=esk50_0|~ssList(esk56_0)|~ssList(app(esk54_0,cons(esk52_0,nil)))),inference(spm,[status(thm)],[5262,167,theory(equality)])).
% cnf(5268,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),app(cons(esk53_0,nil),esk55_0))=esk50_0|$false|~ssList(app(esk54_0,cons(esk52_0,nil)))),inference(rw,[status(thm)],[5264,574,theory(equality)])).
% cnf(5269,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),app(cons(esk53_0,nil),esk55_0))=esk50_0|~ssList(app(esk54_0,cons(esk52_0,nil)))),inference(cn,[status(thm)],[5268,theory(equality)])).
% cnf(5270,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),app(cons(esk53_0,nil),esk55_0))=esk50_0|~ssList(cons(esk52_0,nil))|~ssList(esk54_0)),inference(spm,[status(thm)],[5269,167,theory(equality)])).
% cnf(5271,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),app(cons(esk53_0,nil),esk55_0))=esk50_0|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[5270,576,theory(equality)])).
% cnf(5272,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),app(cons(esk53_0,nil),esk55_0))=esk50_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[5271,theory(equality)])).
% cnf(5273,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),app(cons(esk53_0,nil),esk55_0))=esk50_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[5272,141,theory(equality)])).
% cnf(5274,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),app(cons(esk53_0,nil),esk55_0))=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[5273,142,theory(equality)])).
% cnf(5275,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),app(cons(esk53_0,nil),esk55_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[5274,578,theory(equality)])).
% cnf(5276,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),app(cons(esk53_0,nil),esk55_0))=esk50_0),inference(cn,[status(thm)],[5275,theory(equality)])).
% cnf(5361,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),cons(esk53_0,esk55_0))=esk50_0|~ssList(esk55_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[5276,210,theory(equality)])).
% cnf(5375,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),cons(esk53_0,esk55_0))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[5361,575,theory(equality)])).
% cnf(5376,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),cons(esk53_0,esk55_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[5375,577,theory(equality)])).
% cnf(5377,negated_conjecture,(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),cons(esk53_0,esk55_0))=esk50_0),inference(cn,[status(thm)],[5376,theory(equality)])).
% cnf(5402,negated_conjecture,(segmentP(X1,esk56_0)|esk50_0!=X1|~ssList(cons(esk53_0,esk55_0))|~ssList(app(esk54_0,cons(esk52_0,nil)))|~ssList(esk56_0)|~ssList(X1)),inference(spm,[status(thm)],[131,5377,theory(equality)])).
% cnf(5403,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),esk56_0)),cons(esk53_0,esk55_0))=esk50_0|~ssList(esk56_0)|~ssList(cons(esk52_0,nil))|~ssList(esk54_0)),inference(spm,[status(thm)],[5377,214,theory(equality)])).
% cnf(5425,negated_conjecture,(segmentP(X1,esk56_0)|esk50_0!=X1|~ssList(cons(esk53_0,esk55_0))|~ssList(app(esk54_0,cons(esk52_0,nil)))|$false|~ssList(X1)),inference(rw,[status(thm)],[5402,574,theory(equality)])).
% cnf(5426,negated_conjecture,(segmentP(X1,esk56_0)|esk50_0!=X1|~ssList(cons(esk53_0,esk55_0))|~ssList(app(esk54_0,cons(esk52_0,nil)))|~ssList(X1)),inference(cn,[status(thm)],[5425,theory(equality)])).
% cnf(5427,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),esk56_0)),cons(esk53_0,esk55_0))=esk50_0|$false|~ssList(cons(esk52_0,nil))|~ssList(esk54_0)),inference(rw,[status(thm)],[5403,574,theory(equality)])).
% cnf(5428,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),esk56_0)),cons(esk53_0,esk55_0))=esk50_0|$false|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[5427,576,theory(equality)])).
% cnf(5429,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),esk56_0)),cons(esk53_0,esk55_0))=esk50_0|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[5428,theory(equality)])).
% cnf(5477,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),esk56_0)),cons(esk53_0,esk55_0))=esk50_0|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[5429,141,theory(equality)])).
% cnf(5478,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),esk56_0)),cons(esk53_0,esk55_0))=esk50_0|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[5477,142,theory(equality)])).
% cnf(5479,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),esk56_0)),cons(esk53_0,esk55_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[5478,578,theory(equality)])).
% cnf(5480,negated_conjecture,(app(app(esk54_0,app(cons(esk52_0,nil),esk56_0)),cons(esk53_0,esk55_0))=esk50_0),inference(cn,[status(thm)],[5479,theory(equality)])).
% cnf(6870,negated_conjecture,(segmentP(X1,esk56_0)|esk50_0!=X1|~ssList(app(esk54_0,cons(esk52_0,nil)))|~ssList(X1)|~ssList(esk55_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[5426,141,theory(equality)])).
% cnf(6871,negated_conjecture,(segmentP(X1,esk56_0)|esk50_0!=X1|~ssList(app(esk54_0,cons(esk52_0,nil)))|~ssList(X1)|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[6870,575,theory(equality)])).
% cnf(6872,negated_conjecture,(segmentP(X1,esk56_0)|esk50_0!=X1|~ssList(app(esk54_0,cons(esk52_0,nil)))|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[6871,577,theory(equality)])).
% cnf(6873,negated_conjecture,(segmentP(X1,esk56_0)|esk50_0!=X1|~ssList(app(esk54_0,cons(esk52_0,nil)))|~ssList(X1)),inference(cn,[status(thm)],[6872,theory(equality)])).
% cnf(6874,negated_conjecture,(segmentP(X1,esk56_0)|esk50_0!=X1|~ssList(X1)|~ssList(cons(esk52_0,nil))|~ssList(esk54_0)),inference(spm,[status(thm)],[6873,167,theory(equality)])).
% cnf(6875,negated_conjecture,(segmentP(X1,esk56_0)|esk50_0!=X1|~ssList(X1)|~ssList(cons(esk52_0,nil))|$false),inference(rw,[status(thm)],[6874,576,theory(equality)])).
% cnf(6876,negated_conjecture,(segmentP(X1,esk56_0)|esk50_0!=X1|~ssList(X1)|~ssList(cons(esk52_0,nil))),inference(cn,[status(thm)],[6875,theory(equality)])).
% cnf(6881,negated_conjecture,(segmentP(X1,esk56_0)|esk50_0!=X1|~ssList(X1)|~ssList(nil)|~ssItem(esk52_0)),inference(spm,[status(thm)],[6876,141,theory(equality)])).
% cnf(6882,negated_conjecture,(segmentP(X1,esk56_0)|esk50_0!=X1|~ssList(X1)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[6881,142,theory(equality)])).
% cnf(6883,negated_conjecture,(segmentP(X1,esk56_0)|esk50_0!=X1|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[6882,578,theory(equality)])).
% cnf(6884,negated_conjecture,(segmentP(X1,esk56_0)|esk50_0!=X1|~ssList(X1)),inference(cn,[status(thm)],[6883,theory(equality)])).
% cnf(6885,negated_conjecture,(segmentP(esk50_0,esk56_0)|~ssList(esk50_0)),inference(er,[status(thm)],[6884,theory(equality)])).
% cnf(6886,negated_conjecture,(segmentP(esk50_0,esk56_0)|$false),inference(rw,[status(thm)],[6885,586,theory(equality)])).
% cnf(6887,negated_conjecture,(segmentP(esk50_0,esk56_0)),inference(cn,[status(thm)],[6886,theory(equality)])).
% cnf(6889,negated_conjecture,(ssList(esk4_2(esk50_0,esk56_0))|~ssList(esk56_0)|~ssList(esk50_0)),inference(spm,[status(thm)],[130,6887,theory(equality)])).
% cnf(6890,negated_conjecture,(ssList(esk5_2(esk50_0,esk56_0))|~ssList(esk56_0)|~ssList(esk50_0)),inference(spm,[status(thm)],[129,6887,theory(equality)])).
% cnf(6891,negated_conjecture,(app(app(esk4_2(esk50_0,esk56_0),esk56_0),esk5_2(esk50_0,esk56_0))=esk50_0|~ssList(esk56_0)|~ssList(esk50_0)),inference(spm,[status(thm)],[128,6887,theory(equality)])).
% cnf(6897,negated_conjecture,(ssList(esk4_2(esk50_0,esk56_0))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[6889,574,theory(equality)])).
% cnf(6898,negated_conjecture,(ssList(esk4_2(esk50_0,esk56_0))|$false|$false),inference(rw,[status(thm)],[6897,586,theory(equality)])).
% cnf(6899,negated_conjecture,(ssList(esk4_2(esk50_0,esk56_0))),inference(cn,[status(thm)],[6898,theory(equality)])).
% cnf(6900,negated_conjecture,(ssList(esk5_2(esk50_0,esk56_0))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[6890,574,theory(equality)])).
% cnf(6901,negated_conjecture,(ssList(esk5_2(esk50_0,esk56_0))|$false|$false),inference(rw,[status(thm)],[6900,586,theory(equality)])).
% cnf(6902,negated_conjecture,(ssList(esk5_2(esk50_0,esk56_0))),inference(cn,[status(thm)],[6901,theory(equality)])).
% cnf(6903,negated_conjecture,(app(app(esk4_2(esk50_0,esk56_0),esk56_0),esk5_2(esk50_0,esk56_0))=esk50_0|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[6891,574,theory(equality)])).
% cnf(6904,negated_conjecture,(app(app(esk4_2(esk50_0,esk56_0),esk56_0),esk5_2(esk50_0,esk56_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[6903,586,theory(equality)])).
% cnf(6905,negated_conjecture,(app(app(esk4_2(esk50_0,esk56_0),esk56_0),esk5_2(esk50_0,esk56_0))=esk50_0),inference(cn,[status(thm)],[6904,theory(equality)])).
% cnf(8348,plain,(frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[771,167])).
% cnf(8377,negated_conjecture,(frontsegP(esk50_0,esk54_0)|~ssList(cons(esk52_0,app(esk56_0,cons(esk53_0,esk55_0))))|~ssList(esk54_0)),inference(spm,[status(thm)],[8348,2086,theory(equality)])).
% cnf(8481,negated_conjecture,(frontsegP(esk50_0,esk54_0)|~ssList(cons(esk52_0,app(esk56_0,cons(esk53_0,esk55_0))))|$false),inference(rw,[status(thm)],[8377,576,theory(equality)])).
% cnf(8482,negated_conjecture,(frontsegP(esk50_0,esk54_0)|~ssList(cons(esk52_0,app(esk56_0,cons(esk53_0,esk55_0))))),inference(cn,[status(thm)],[8481,theory(equality)])).
% cnf(8551,negated_conjecture,(frontsegP(esk50_0,esk54_0)|~ssList(app(esk56_0,cons(esk53_0,esk55_0)))|~ssItem(esk52_0)),inference(spm,[status(thm)],[8482,141,theory(equality)])).
% cnf(8552,negated_conjecture,(frontsegP(esk50_0,esk54_0)|~ssList(app(esk56_0,cons(esk53_0,esk55_0)))|$false),inference(rw,[status(thm)],[8551,578,theory(equality)])).
% cnf(8553,negated_conjecture,(frontsegP(esk50_0,esk54_0)|~ssList(app(esk56_0,cons(esk53_0,esk55_0)))),inference(cn,[status(thm)],[8552,theory(equality)])).
% cnf(8554,negated_conjecture,(frontsegP(esk50_0,esk54_0)|~ssList(cons(esk53_0,esk55_0))|~ssList(esk56_0)),inference(spm,[status(thm)],[8553,167,theory(equality)])).
% cnf(8555,negated_conjecture,(frontsegP(esk50_0,esk54_0)|~ssList(cons(esk53_0,esk55_0))|$false),inference(rw,[status(thm)],[8554,574,theory(equality)])).
% cnf(8556,negated_conjecture,(frontsegP(esk50_0,esk54_0)|~ssList(cons(esk53_0,esk55_0))),inference(cn,[status(thm)],[8555,theory(equality)])).
% cnf(8575,negated_conjecture,(frontsegP(esk50_0,esk54_0)|~ssList(esk55_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[8556,141,theory(equality)])).
% cnf(8576,negated_conjecture,(frontsegP(esk50_0,esk54_0)|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[8575,575,theory(equality)])).
% cnf(8577,negated_conjecture,(frontsegP(esk50_0,esk54_0)|$false|$false),inference(rw,[status(thm)],[8576,577,theory(equality)])).
% cnf(8578,negated_conjecture,(frontsegP(esk50_0,esk54_0)),inference(cn,[status(thm)],[8577,theory(equality)])).
% cnf(8579,negated_conjecture,(ssList(esk20_2(esk50_0,esk54_0))|~ssList(esk54_0)|~ssList(esk50_0)),inference(spm,[status(thm)],[325,8578,theory(equality)])).
% cnf(8581,negated_conjecture,(app(esk54_0,esk20_2(esk50_0,esk54_0))=esk50_0|~ssList(esk54_0)|~ssList(esk50_0)),inference(spm,[status(thm)],[324,8578,theory(equality)])).
% cnf(8588,negated_conjecture,(ssList(esk20_2(esk50_0,esk54_0))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[8579,576,theory(equality)])).
% cnf(8589,negated_conjecture,(ssList(esk20_2(esk50_0,esk54_0))|$false|$false),inference(rw,[status(thm)],[8588,586,theory(equality)])).
% cnf(8590,negated_conjecture,(ssList(esk20_2(esk50_0,esk54_0))),inference(cn,[status(thm)],[8589,theory(equality)])).
% cnf(8594,negated_conjecture,(app(esk54_0,esk20_2(esk50_0,esk54_0))=esk50_0|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[8581,576,theory(equality)])).
% cnf(8595,negated_conjecture,(app(esk54_0,esk20_2(esk50_0,esk54_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[8594,586,theory(equality)])).
% cnf(8596,negated_conjecture,(app(esk54_0,esk20_2(esk50_0,esk54_0))=esk50_0),inference(cn,[status(thm)],[8595,theory(equality)])).
% cnf(8710,plain,(rearsegP(app(X1,X2),X2)|~ssList(X1)|~ssList(X2)),inference(csr,[status(thm)],[784,167])).
% cnf(8758,negated_conjecture,(rearsegP(esk50_0,esk55_0)|~ssList(app(esk54_0,cons(esk52_0,app(esk56_0,cons(esk53_0,nil)))))|~ssList(esk55_0)),inference(spm,[status(thm)],[8710,1804,theory(equality)])).
% cnf(8777,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk55_0))|~ssList(app(esk54_0,app(cons(esk52_0,nil),esk56_0)))|~ssList(cons(esk53_0,esk55_0))),inference(spm,[status(thm)],[8710,5480,theory(equality)])).
% cnf(8881,negated_conjecture,(rearsegP(esk50_0,esk55_0)|~ssList(app(esk54_0,cons(esk52_0,app(esk56_0,cons(esk53_0,nil)))))|$false),inference(rw,[status(thm)],[8758,575,theory(equality)])).
% cnf(8882,negated_conjecture,(rearsegP(esk50_0,esk55_0)|~ssList(app(esk54_0,cons(esk52_0,app(esk56_0,cons(esk53_0,nil)))))),inference(cn,[status(thm)],[8881,theory(equality)])).
% cnf(8926,negated_conjecture,(rearsegP(esk50_0,esk55_0)|~ssList(cons(esk52_0,app(esk56_0,cons(esk53_0,nil))))|~ssList(esk54_0)),inference(spm,[status(thm)],[8882,167,theory(equality)])).
% cnf(8927,negated_conjecture,(rearsegP(esk50_0,esk55_0)|~ssList(cons(esk52_0,app(esk56_0,cons(esk53_0,nil))))|$false),inference(rw,[status(thm)],[8926,576,theory(equality)])).
% cnf(8928,negated_conjecture,(rearsegP(esk50_0,esk55_0)|~ssList(cons(esk52_0,app(esk56_0,cons(esk53_0,nil))))),inference(cn,[status(thm)],[8927,theory(equality)])).
% cnf(8929,negated_conjecture,(rearsegP(esk50_0,esk55_0)|~ssList(app(esk56_0,cons(esk53_0,nil)))|~ssItem(esk52_0)),inference(spm,[status(thm)],[8928,141,theory(equality)])).
% cnf(8930,negated_conjecture,(rearsegP(esk50_0,esk55_0)|~ssList(app(esk56_0,cons(esk53_0,nil)))|$false),inference(rw,[status(thm)],[8929,578,theory(equality)])).
% cnf(8931,negated_conjecture,(rearsegP(esk50_0,esk55_0)|~ssList(app(esk56_0,cons(esk53_0,nil)))),inference(cn,[status(thm)],[8930,theory(equality)])).
% cnf(8936,negated_conjecture,(rearsegP(esk50_0,esk55_0)|~ssList(cons(esk53_0,nil))|~ssList(esk56_0)),inference(spm,[status(thm)],[8931,167,theory(equality)])).
% cnf(8937,negated_conjecture,(rearsegP(esk50_0,esk55_0)|~ssList(cons(esk53_0,nil))|$false),inference(rw,[status(thm)],[8936,574,theory(equality)])).
% cnf(8938,negated_conjecture,(rearsegP(esk50_0,esk55_0)|~ssList(cons(esk53_0,nil))),inference(cn,[status(thm)],[8937,theory(equality)])).
% cnf(8939,negated_conjecture,(rearsegP(esk50_0,esk55_0)|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[8938,141,theory(equality)])).
% cnf(8940,negated_conjecture,(rearsegP(esk50_0,esk55_0)|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[8939,142,theory(equality)])).
% cnf(8941,negated_conjecture,(rearsegP(esk50_0,esk55_0)|$false|$false),inference(rw,[status(thm)],[8940,577,theory(equality)])).
% cnf(8942,negated_conjecture,(rearsegP(esk50_0,esk55_0)),inference(cn,[status(thm)],[8941,theory(equality)])).
% cnf(8943,negated_conjecture,(ssList(esk21_2(esk50_0,esk55_0))|~ssList(esk55_0)|~ssList(esk50_0)),inference(spm,[status(thm)],[333,8942,theory(equality)])).
% cnf(8944,negated_conjecture,(app(esk21_2(esk50_0,esk55_0),esk55_0)=esk50_0|~ssList(esk55_0)|~ssList(esk50_0)),inference(spm,[status(thm)],[332,8942,theory(equality)])).
% cnf(8955,negated_conjecture,(ssList(esk21_2(esk50_0,esk55_0))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[8943,575,theory(equality)])).
% cnf(8956,negated_conjecture,(ssList(esk21_2(esk50_0,esk55_0))|$false|$false),inference(rw,[status(thm)],[8955,586,theory(equality)])).
% cnf(8957,negated_conjecture,(ssList(esk21_2(esk50_0,esk55_0))),inference(cn,[status(thm)],[8956,theory(equality)])).
% cnf(8958,negated_conjecture,(app(esk21_2(esk50_0,esk55_0),esk55_0)=esk50_0|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[8944,575,theory(equality)])).
% cnf(8959,negated_conjecture,(app(esk21_2(esk50_0,esk55_0),esk55_0)=esk50_0|$false|$false),inference(rw,[status(thm)],[8958,586,theory(equality)])).
% cnf(8960,negated_conjecture,(app(esk21_2(esk50_0,esk55_0),esk55_0)=esk50_0),inference(cn,[status(thm)],[8959,theory(equality)])).
% cnf(8991,negated_conjecture,(nil=esk55_0|esk50_0!=nil|~ssList(esk55_0)|~ssList(esk21_2(esk50_0,esk55_0))),inference(spm,[status(thm)],[221,8960,theory(equality)])).
% cnf(9038,negated_conjecture,(nil=esk55_0|esk50_0!=nil|$false|~ssList(esk21_2(esk50_0,esk55_0))),inference(rw,[status(thm)],[8991,575,theory(equality)])).
% cnf(9039,negated_conjecture,(nil=esk55_0|esk50_0!=nil|$false|$false),inference(rw,[status(thm)],[9038,8957,theory(equality)])).
% cnf(9040,negated_conjecture,(nil=esk55_0|esk50_0!=nil),inference(cn,[status(thm)],[9039,theory(equality)])).
% cnf(9698,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk55_0))|~ssList(app(esk54_0,app(cons(esk52_0,nil),esk56_0)))|~ssList(esk55_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[8777,141,theory(equality)])).
% cnf(9699,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk55_0))|~ssList(app(esk54_0,app(cons(esk52_0,nil),esk56_0)))|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[9698,575,theory(equality)])).
% cnf(9700,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk55_0))|~ssList(app(esk54_0,app(cons(esk52_0,nil),esk56_0)))|$false|$false),inference(rw,[status(thm)],[9699,577,theory(equality)])).
% cnf(9701,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk55_0))|~ssList(app(esk54_0,app(cons(esk52_0,nil),esk56_0)))),inference(cn,[status(thm)],[9700,theory(equality)])).
% cnf(9703,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk55_0))|~ssList(app(esk54_0,cons(esk52_0,esk56_0)))|~ssList(esk56_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[9701,210,theory(equality)])).
% cnf(9709,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk55_0))|~ssList(app(esk54_0,cons(esk52_0,esk56_0)))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[9703,574,theory(equality)])).
% cnf(9710,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk55_0))|~ssList(app(esk54_0,cons(esk52_0,esk56_0)))|$false|$false),inference(rw,[status(thm)],[9709,578,theory(equality)])).
% cnf(9711,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk55_0))|~ssList(app(esk54_0,cons(esk52_0,esk56_0)))),inference(cn,[status(thm)],[9710,theory(equality)])).
% cnf(9751,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk55_0))|~ssList(cons(esk52_0,esk56_0))|~ssList(esk54_0)),inference(spm,[status(thm)],[9711,167,theory(equality)])).
% cnf(9752,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk55_0))|~ssList(cons(esk52_0,esk56_0))|$false),inference(rw,[status(thm)],[9751,576,theory(equality)])).
% cnf(9753,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk55_0))|~ssList(cons(esk52_0,esk56_0))),inference(cn,[status(thm)],[9752,theory(equality)])).
% cnf(9754,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk55_0))|~ssList(esk56_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[9753,141,theory(equality)])).
% cnf(9755,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk55_0))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[9754,574,theory(equality)])).
% cnf(9756,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk55_0))|$false|$false),inference(rw,[status(thm)],[9755,578,theory(equality)])).
% cnf(9757,negated_conjecture,(rearsegP(esk50_0,cons(esk53_0,esk55_0))),inference(cn,[status(thm)],[9756,theory(equality)])).
% cnf(9758,negated_conjecture,(ssList(esk21_2(esk50_0,cons(esk53_0,esk55_0)))|~ssList(cons(esk53_0,esk55_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[333,9757,theory(equality)])).
% cnf(9759,negated_conjecture,(app(esk21_2(esk50_0,cons(esk53_0,esk55_0)),cons(esk53_0,esk55_0))=esk50_0|~ssList(cons(esk53_0,esk55_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[332,9757,theory(equality)])).
% cnf(9768,negated_conjecture,(ssList(esk21_2(esk50_0,cons(esk53_0,esk55_0)))|~ssList(cons(esk53_0,esk55_0))|$false),inference(rw,[status(thm)],[9758,586,theory(equality)])).
% cnf(9769,negated_conjecture,(ssList(esk21_2(esk50_0,cons(esk53_0,esk55_0)))|~ssList(cons(esk53_0,esk55_0))),inference(cn,[status(thm)],[9768,theory(equality)])).
% cnf(9770,negated_conjecture,(app(esk21_2(esk50_0,cons(esk53_0,esk55_0)),cons(esk53_0,esk55_0))=esk50_0|~ssList(cons(esk53_0,esk55_0))|$false),inference(rw,[status(thm)],[9759,586,theory(equality)])).
% cnf(9771,negated_conjecture,(app(esk21_2(esk50_0,cons(esk53_0,esk55_0)),cons(esk53_0,esk55_0))=esk50_0|~ssList(cons(esk53_0,esk55_0))),inference(cn,[status(thm)],[9770,theory(equality)])).
% cnf(9789,negated_conjecture,(ssList(esk21_2(esk50_0,cons(esk53_0,esk55_0)))|~ssList(esk55_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[9769,141,theory(equality)])).
% cnf(9790,negated_conjecture,(ssList(esk21_2(esk50_0,cons(esk53_0,esk55_0)))|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[9789,575,theory(equality)])).
% cnf(9791,negated_conjecture,(ssList(esk21_2(esk50_0,cons(esk53_0,esk55_0)))|$false|$false),inference(rw,[status(thm)],[9790,577,theory(equality)])).
% cnf(9792,negated_conjecture,(ssList(esk21_2(esk50_0,cons(esk53_0,esk55_0)))),inference(cn,[status(thm)],[9791,theory(equality)])).
% cnf(9853,negated_conjecture,(app(esk21_2(esk50_0,cons(esk53_0,esk55_0)),cons(esk53_0,esk55_0))=esk50_0|~ssList(esk55_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[9771,141,theory(equality)])).
% cnf(9854,negated_conjecture,(app(esk21_2(esk50_0,cons(esk53_0,esk55_0)),cons(esk53_0,esk55_0))=esk50_0|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[9853,575,theory(equality)])).
% cnf(9855,negated_conjecture,(app(esk21_2(esk50_0,cons(esk53_0,esk55_0)),cons(esk53_0,esk55_0))=esk50_0|$false|$false),inference(rw,[status(thm)],[9854,577,theory(equality)])).
% cnf(9856,negated_conjecture,(app(esk21_2(esk50_0,cons(esk53_0,esk55_0)),cons(esk53_0,esk55_0))=esk50_0),inference(cn,[status(thm)],[9855,theory(equality)])).
% cnf(11959,negated_conjecture,(frontsegP(esk50_0,nil)|~ssList(esk20_2(esk50_0,esk54_0))|~ssList(esk54_0)),inference(spm,[status(thm)],[860,8596,theory(equality)])).
% cnf(12055,negated_conjecture,(frontsegP(esk50_0,nil)|$false|~ssList(esk54_0)),inference(rw,[status(thm)],[11959,8590,theory(equality)])).
% cnf(12056,negated_conjecture,(frontsegP(esk50_0,nil)|$false|$false),inference(rw,[status(thm)],[12055,576,theory(equality)])).
% cnf(12057,negated_conjecture,(frontsegP(esk50_0,nil)),inference(cn,[status(thm)],[12056,theory(equality)])).
% cnf(12180,negated_conjecture,(ssList(esk20_2(esk50_0,nil))|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[325,12057,theory(equality)])).
% cnf(12182,negated_conjecture,(app(nil,esk20_2(esk50_0,nil))=esk50_0|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[324,12057,theory(equality)])).
% cnf(12185,negated_conjecture,(ssList(esk20_2(esk50_0,nil))|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[12180,142,theory(equality)])).
% cnf(12186,negated_conjecture,(ssList(esk20_2(esk50_0,nil))|$false|$false),inference(rw,[status(thm)],[12185,586,theory(equality)])).
% cnf(12187,negated_conjecture,(ssList(esk20_2(esk50_0,nil))),inference(cn,[status(thm)],[12186,theory(equality)])).
% cnf(12191,negated_conjecture,(app(nil,esk20_2(esk50_0,nil))=esk50_0|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[12182,142,theory(equality)])).
% cnf(12192,negated_conjecture,(app(nil,esk20_2(esk50_0,nil))=esk50_0|$false|$false),inference(rw,[status(thm)],[12191,586,theory(equality)])).
% cnf(12193,negated_conjecture,(app(nil,esk20_2(esk50_0,nil))=esk50_0),inference(cn,[status(thm)],[12192,theory(equality)])).
% cnf(12223,negated_conjecture,(app(nil,esk50_0)=esk50_0|~ssList(esk20_2(esk50_0,nil))),inference(spm,[status(thm)],[1488,12193,theory(equality)])).
% cnf(12293,negated_conjecture,(app(nil,esk50_0)=esk50_0|$false),inference(rw,[status(thm)],[12223,12187,theory(equality)])).
% cnf(12294,negated_conjecture,(app(nil,esk50_0)=esk50_0),inference(cn,[status(thm)],[12293,theory(equality)])).
% cnf(12299,negated_conjecture,(rearsegP(esk50_0,esk50_0)|~ssList(nil)|~ssList(esk50_0)),inference(spm,[status(thm)],[8710,12294,theory(equality)])).
% cnf(12332,negated_conjecture,(rearsegP(esk50_0,esk50_0)|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[12299,142,theory(equality)])).
% cnf(12333,negated_conjecture,(rearsegP(esk50_0,esk50_0)|$false|$false),inference(rw,[status(thm)],[12332,586,theory(equality)])).
% cnf(12334,negated_conjecture,(rearsegP(esk50_0,esk50_0)),inference(cn,[status(thm)],[12333,theory(equality)])).
% cnf(12397,negated_conjecture,(ssList(esk21_2(esk50_0,esk50_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[333,12334,theory(equality)])).
% cnf(12398,negated_conjecture,(app(esk21_2(esk50_0,esk50_0),esk50_0)=esk50_0|~ssList(esk50_0)),inference(spm,[status(thm)],[332,12334,theory(equality)])).
% cnf(12401,negated_conjecture,(ssList(esk21_2(esk50_0,esk50_0))|$false),inference(rw,[status(thm)],[12397,586,theory(equality)])).
% cnf(12402,negated_conjecture,(ssList(esk21_2(esk50_0,esk50_0))),inference(cn,[status(thm)],[12401,theory(equality)])).
% cnf(12403,negated_conjecture,(app(esk21_2(esk50_0,esk50_0),esk50_0)=esk50_0|$false),inference(rw,[status(thm)],[12398,586,theory(equality)])).
% cnf(12404,negated_conjecture,(app(esk21_2(esk50_0,esk50_0),esk50_0)=esk50_0),inference(cn,[status(thm)],[12403,theory(equality)])).
% cnf(12416,negated_conjecture,(esk21_2(esk50_0,esk50_0)=nil|~ssList(esk50_0)|~ssList(esk21_2(esk50_0,esk50_0))),inference(spm,[status(thm)],[753,12404,theory(equality)])).
% cnf(12456,negated_conjecture,(esk21_2(esk50_0,esk50_0)=nil|$false|~ssList(esk21_2(esk50_0,esk50_0))),inference(rw,[status(thm)],[12416,586,theory(equality)])).
% cnf(12457,negated_conjecture,(esk21_2(esk50_0,esk50_0)=nil|$false|$false),inference(rw,[status(thm)],[12456,12402,theory(equality)])).
% cnf(12458,negated_conjecture,(esk21_2(esk50_0,esk50_0)=nil),inference(cn,[status(thm)],[12457,theory(equality)])).
% cnf(14193,plain,(ssList(cons(X1,app(X2,X3)))|~ssList(X2)|~ssList(X3)|~ssItem(X1)),inference(csr,[status(thm)],[887,141])).
% cnf(22194,plain,(nil=X1|app(X2,app(X3,X1))!=nil|~ssList(X3)|~ssList(X2)|~ssList(X1)),inference(csr,[status(thm)],[917,167])).
% cnf(22232,negated_conjecture,(nil=cons(esk53_0,esk55_0)|app(X1,esk50_0)!=nil|~ssList(cons(esk53_0,esk55_0))|~ssList(esk21_2(esk50_0,cons(esk53_0,esk55_0)))|~ssList(X1)),inference(spm,[status(thm)],[22194,9856,theory(equality)])).
% cnf(22402,negated_conjecture,(nil=cons(esk53_0,esk55_0)|app(X1,esk50_0)!=nil|~ssList(cons(esk53_0,esk55_0))|$false|~ssList(X1)),inference(rw,[status(thm)],[22232,9792,theory(equality)])).
% cnf(22403,negated_conjecture,(nil=cons(esk53_0,esk55_0)|app(X1,esk50_0)!=nil|~ssList(cons(esk53_0,esk55_0))|~ssList(X1)),inference(cn,[status(thm)],[22402,theory(equality)])).
% cnf(22986,negated_conjecture,(cons(esk53_0,esk55_0)=nil|app(X1,esk50_0)!=nil|~ssList(X1)|~ssList(esk55_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[22403,141,theory(equality)])).
% cnf(22987,negated_conjecture,(cons(esk53_0,esk55_0)=nil|app(X1,esk50_0)!=nil|~ssList(X1)|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[22986,575,theory(equality)])).
% cnf(22988,negated_conjecture,(cons(esk53_0,esk55_0)=nil|app(X1,esk50_0)!=nil|~ssList(X1)|$false|$false),inference(rw,[status(thm)],[22987,577,theory(equality)])).
% cnf(22989,negated_conjecture,(cons(esk53_0,esk55_0)=nil|app(X1,esk50_0)!=nil|~ssList(X1)),inference(cn,[status(thm)],[22988,theory(equality)])).
% cnf(22990,negated_conjecture,(cons(esk53_0,esk55_0)=nil|esk50_0!=nil|~ssList(esk21_2(esk50_0,esk50_0))|~ssList(esk50_0)),inference(spm,[status(thm)],[22989,882,theory(equality)])).
% cnf(22997,negated_conjecture,(cons(esk53_0,esk55_0)=nil|esk50_0!=nil|$false|~ssList(esk50_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[22990,12458,theory(equality)]),142,theory(equality)])).
% cnf(22998,negated_conjecture,(cons(esk53_0,esk55_0)=nil|esk50_0!=nil|$false|$false),inference(rw,[status(thm)],[22997,586,theory(equality)])).
% cnf(22999,negated_conjecture,(cons(esk53_0,esk55_0)=nil|esk50_0!=nil),inference(cn,[status(thm)],[22998,theory(equality)])).
% cnf(27791,negated_conjecture,(segmentP(esk50_0,nil)|~ssList(esk5_2(esk50_0,esk56_0))|~ssList(esk4_2(esk50_0,esk56_0))|~ssList(esk56_0)),inference(spm,[status(thm)],[966,6905,theory(equality)])).
% cnf(28032,negated_conjecture,(segmentP(esk50_0,nil)|$false|~ssList(esk4_2(esk50_0,esk56_0))|~ssList(esk56_0)),inference(rw,[status(thm)],[27791,6902,theory(equality)])).
% cnf(28033,negated_conjecture,(segmentP(esk50_0,nil)|$false|$false|~ssList(esk56_0)),inference(rw,[status(thm)],[28032,6899,theory(equality)])).
% cnf(28034,negated_conjecture,(segmentP(esk50_0,nil)|$false|$false|$false),inference(rw,[status(thm)],[28033,574,theory(equality)])).
% cnf(28035,negated_conjecture,(segmentP(esk50_0,nil)),inference(cn,[status(thm)],[28034,theory(equality)])).
% cnf(28660,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(esk50_0)|~ssList(app(esk56_0,app(cons(esk53_0,nil),esk55_0)))|~ssList(esk54_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[967,2009,theory(equality)])).
% cnf(28673,negated_conjecture,(memberP(esk50_0,esk53_0)|~ssList(esk50_0)|~ssList(esk55_0)|~ssList(esk21_2(esk50_0,cons(esk53_0,esk55_0)))|~ssItem(esk53_0)),inference(spm,[status(thm)],[967,9856,theory(equality)])).
% cnf(28707,negated_conjecture,(memberP(esk50_0,esk52_0)|$false|~ssList(app(esk56_0,app(cons(esk53_0,nil),esk55_0)))|~ssList(esk54_0)|~ssItem(esk52_0)),inference(rw,[status(thm)],[28660,586,theory(equality)])).
% cnf(28708,negated_conjecture,(memberP(esk50_0,esk52_0)|$false|~ssList(app(esk56_0,app(cons(esk53_0,nil),esk55_0)))|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[28707,576,theory(equality)])).
% cnf(28709,negated_conjecture,(memberP(esk50_0,esk52_0)|$false|~ssList(app(esk56_0,app(cons(esk53_0,nil),esk55_0)))|$false|$false),inference(rw,[status(thm)],[28708,578,theory(equality)])).
% cnf(28710,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(app(esk56_0,app(cons(esk53_0,nil),esk55_0)))),inference(cn,[status(thm)],[28709,theory(equality)])).
% cnf(28755,negated_conjecture,(memberP(esk50_0,esk53_0)|$false|~ssList(esk55_0)|~ssList(esk21_2(esk50_0,cons(esk53_0,esk55_0)))|~ssItem(esk53_0)),inference(rw,[status(thm)],[28673,586,theory(equality)])).
% cnf(28756,negated_conjecture,(memberP(esk50_0,esk53_0)|$false|$false|~ssList(esk21_2(esk50_0,cons(esk53_0,esk55_0)))|~ssItem(esk53_0)),inference(rw,[status(thm)],[28755,575,theory(equality)])).
% cnf(28757,negated_conjecture,(memberP(esk50_0,esk53_0)|$false|$false|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[28756,9792,theory(equality)])).
% cnf(28758,negated_conjecture,(memberP(esk50_0,esk53_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[28757,577,theory(equality)])).
% cnf(28759,negated_conjecture,(memberP(esk50_0,esk53_0)),inference(cn,[status(thm)],[28758,theory(equality)])).
% cnf(29652,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(app(cons(esk53_0,nil),esk55_0))|~ssList(esk56_0)),inference(spm,[status(thm)],[28710,167,theory(equality)])).
% cnf(29661,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(app(cons(esk53_0,nil),esk55_0))|$false),inference(rw,[status(thm)],[29652,574,theory(equality)])).
% cnf(29662,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(app(cons(esk53_0,nil),esk55_0))),inference(cn,[status(thm)],[29661,theory(equality)])).
% cnf(29666,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(cons(esk53_0,app(nil,esk55_0)))|~ssList(nil)|~ssList(esk55_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[29662,171,theory(equality)])).
% cnf(29669,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(cons(esk53_0,app(nil,esk55_0)))|$false|~ssList(esk55_0)|~ssItem(esk53_0)),inference(rw,[status(thm)],[29666,142,theory(equality)])).
% cnf(29670,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(cons(esk53_0,app(nil,esk55_0)))|$false|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[29669,575,theory(equality)])).
% cnf(29671,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(cons(esk53_0,app(nil,esk55_0)))|$false|$false|$false),inference(rw,[status(thm)],[29670,577,theory(equality)])).
% cnf(29672,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(cons(esk53_0,app(nil,esk55_0)))),inference(cn,[status(thm)],[29671,theory(equality)])).
% cnf(29681,negated_conjecture,(memberP(esk50_0,esk52_0)|~ssList(esk55_0)|~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[29672,14193,theory(equality)])).
% cnf(29689,negated_conjecture,(memberP(esk50_0,esk52_0)|$false|~ssList(nil)|~ssItem(esk53_0)),inference(rw,[status(thm)],[29681,575,theory(equality)])).
% cnf(29690,negated_conjecture,(memberP(esk50_0,esk52_0)|$false|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[29689,142,theory(equality)])).
% cnf(29691,negated_conjecture,(memberP(esk50_0,esk52_0)|$false|$false|$false),inference(rw,[status(thm)],[29690,577,theory(equality)])).
% cnf(29692,negated_conjecture,(memberP(esk50_0,esk52_0)),inference(cn,[status(thm)],[29691,theory(equality)])).
% cnf(32933,plain,(X1=esk3_1(X2)|memberP(nil,X1)|~memberP(X2,X1)|~singletonP(X2)|~ssList(X2)|~ssItem(X1)),inference(csr,[status(thm)],[1016,121])).
% cnf(32934,plain,(X1=esk3_1(X2)|~memberP(X2,X1)|~singletonP(X2)|~ssList(X2)|~ssItem(X1)),inference(csr,[status(thm)],[32933,442])).
% cnf(32935,negated_conjecture,(esk53_0=esk3_1(esk50_0)|~singletonP(esk50_0)|~ssList(esk50_0)|~ssItem(esk53_0)),inference(spm,[status(thm)],[32934,28759,theory(equality)])).
% cnf(32936,negated_conjecture,(esk52_0=esk3_1(esk50_0)|~singletonP(esk50_0)|~ssList(esk50_0)|~ssItem(esk52_0)),inference(spm,[status(thm)],[32934,29692,theory(equality)])).
% cnf(32938,negated_conjecture,(esk53_0=esk3_1(esk50_0)|~singletonP(esk50_0)|$false|~ssItem(esk53_0)),inference(rw,[status(thm)],[32935,586,theory(equality)])).
% cnf(32939,negated_conjecture,(esk53_0=esk3_1(esk50_0)|~singletonP(esk50_0)|$false|$false),inference(rw,[status(thm)],[32938,577,theory(equality)])).
% cnf(32940,negated_conjecture,(esk53_0=esk3_1(esk50_0)|~singletonP(esk50_0)),inference(cn,[status(thm)],[32939,theory(equality)])).
% cnf(32941,negated_conjecture,(esk52_0=esk3_1(esk50_0)|~singletonP(esk50_0)|$false|~ssItem(esk52_0)),inference(rw,[status(thm)],[32936,586,theory(equality)])).
% cnf(32942,negated_conjecture,(esk52_0=esk3_1(esk50_0)|~singletonP(esk50_0)|$false|$false),inference(rw,[status(thm)],[32941,578,theory(equality)])).
% cnf(32943,negated_conjecture,(esk52_0=esk3_1(esk50_0)|~singletonP(esk50_0)),inference(cn,[status(thm)],[32942,theory(equality)])).
% cnf(32944,negated_conjecture,(esk3_1(esk50_0)=esk53_0|esk51_0=nil),inference(spm,[status(thm)],[32940,668,theory(equality)])).
% cnf(44049,negated_conjecture,(esk3_1(esk50_0)=esk52_0|esk51_0=nil),inference(spm,[status(thm)],[32943,668,theory(equality)])).
% cnf(44055,negated_conjecture,(esk52_0=esk53_0|esk51_0=nil),inference(spm,[status(thm)],[32944,44049,theory(equality)])).
% cnf(44067,negated_conjecture,(esk51_0=nil),inference(sr,[status(thm)],[44055,572,theory(equality)])).
% cnf(44332,negated_conjecture,(esk50_0=nil|~segmentP(esk50_0,esk51_0)),inference(rw,[status(thm)],[698,44067,theory(equality)])).
% cnf(44333,negated_conjecture,(esk50_0=nil|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[44332,44067,theory(equality)]),28035,theory(equality)])).
% cnf(44334,negated_conjecture,(esk50_0=nil),inference(cn,[status(thm)],[44333,theory(equality)])).
% cnf(44465,negated_conjecture,(cons(esk53_0,esk55_0)=nil|$false),inference(rw,[status(thm)],[22999,44334,theory(equality)])).
% cnf(44466,negated_conjecture,(cons(esk53_0,esk55_0)=nil),inference(cn,[status(thm)],[44465,theory(equality)])).
% cnf(44694,negated_conjecture,(esk55_0=nil|$false),inference(rw,[status(thm)],[9040,44334,theory(equality)])).
% cnf(44695,negated_conjecture,(esk55_0=nil),inference(cn,[status(thm)],[44694,theory(equality)])).
% cnf(45130,negated_conjecture,(cons(esk53_0,nil)=nil),inference(rw,[status(thm)],[44466,44695,theory(equality)])).
% cnf(45131,negated_conjecture,(~ssList(nil)|~ssItem(esk53_0)),inference(spm,[status(thm)],[163,45130,theory(equality)])).
% cnf(45213,negated_conjecture,($false|~ssItem(esk53_0)),inference(rw,[status(thm)],[45131,142,theory(equality)])).
% cnf(45214,negated_conjecture,($false|$false),inference(rw,[status(thm)],[45213,577,theory(equality)])).
% cnf(45215,negated_conjecture,($false),inference(cn,[status(thm)],[45214,theory(equality)])).
% cnf(45216,negated_conjecture,($false),45215,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 2655
% # ...of these trivial : 288
% # ...subsumed : 799
% # ...remaining for further processing: 1568
% # Other redundant clauses eliminated : 216
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 274
% # Backward-rewritten : 916
% # Generated clauses : 16415
% # ...of the previous two non-trivial : 15451
% # Contextual simplify-reflections : 826
% # Paramodulations : 16128
% # Factorizations : 0
% # Equation resolutions : 287
% # Current number of processed clauses: 372
% # Positive orientable unit clauses: 28
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 3
% # Non-unit-clauses : 341
% # Current number of unprocessed clauses: 4012
% # ...number of literals in the above : 25667
% # Clause-clause subsumption calls (NU) : 102155
% # Rec. Clause-clause subsumption calls : 74019
% # Unit Clause-clause subsumption calls : 3116
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 373
% # Indexed BW rewrite successes : 109
% # Backwards rewriting index: 348 leaves, 1.48+/-1.249 terms/leaf
% # Paramod-from index: 179 leaves, 1.00+/-0.000 terms/leaf
% # Paramod-into index: 300 leaves, 1.33+/-1.120 terms/leaf
% # -------------------------------------------------
% # User time : 1.001 s
% # System time : 0.038 s
% # Total time : 1.039 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.74 CPU 1.86 WC
% FINAL PrfWatch: 1.74 CPU 1.86 WC
% SZS output end Solution for /tmp/SystemOnTPTP32083/SWC197+1.tptp
%
%------------------------------------------------------------------------------