TSTP Solution File: SEU027+1 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SEU027+1 : TPTP v5.0.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art05.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Thu Dec 30 00:40:00 EST 2010

% Result   : Theorem 97.88s
% Output   : Solution 98.19s
% 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/SystemOnTPTP15988/SEU027+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% not found
% Adding ~C to TBU       ... ~t60_funct_1:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... antisymmetry_r2_hidden:
%  CSA axiom antisymmetry_r2_hidden found
% Looking for CSA axiom ... d5_funct_1:
%  CSA axiom d5_funct_1 found
% Looking for CSA axiom ... dt_k2_funct_1:
%  CSA axiom dt_k2_funct_1 found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... rc1_funct_1:
% rc3_funct_1:
% t54_funct_1:
%  CSA axiom t54_funct_1 found
% Looking for CSA axiom ... t9_funct_1:
%  CSA axiom t9_funct_1 found
% Looking for CSA axiom ... cc2_funct_1: CSA axiom cc2_funct_1 found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT   ... 
% no
% Looking for TBU UNS   ... 
% yes - theorem proved
% ---- Selection completed
% Selected axioms are   ... :cc2_funct_1:t9_funct_1:t54_funct_1:dt_k2_funct_1:d5_funct_1:antisymmetry_r2_hidden (6)
% Unselected axioms are ... :rc1_funct_1:rc3_funct_1:fc5_relat_1:fc6_relat_1:fc7_relat_1:fc8_relat_1:rc2_funct_1:t8_boole:cc1_funct_1:t7_boole:cc1_relat_1:rc1_relat_1:rc2_relat_1:existence_m1_subset_1:fc1_xboole_0:rc1_xboole_0:rc2_xboole_0:t1_subset:t6_boole:t2_subset:rc3_relat_1:t4_subset:rc1_subset_1:rc2_subset_1:t5_subset:fc4_relat_1:reflexivity_r1_tarski:fc12_relat_1:fc1_subset_1:t3_subset (30)
% SZS status THM for /tmp/SystemOnTPTP15988/SEU027+1.tptp
% Looking for THM       ... 
% found
% SZS output start Solution for /tmp/SystemOnTPTP15988/SEU027+1.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=600 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p 
% TreeLimitedRun: CPU time limit is 600s
% TreeLimitedRun: WC  time limit is 1200s
% TreeLimitedRun: PID is 17676
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time     : 0.015 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:((relation(X1)&function(X1))=>![X2]:((relation(X2)&function(X2))=>((relation_dom(X1)=relation_dom(X2)&![X3]:(in(X3,relation_dom(X1))=>apply(X1,X3)=apply(X2,X3)))=>X1=X2))),file('/tmp/SRASS.s.p', t9_funct_1)).
% fof(3, axiom,![X1]:((relation(X1)&function(X1))=>(one_to_one(X1)=>![X2]:((relation(X2)&function(X2))=>(X2=function_inverse(X1)<=>(relation_dom(X2)=relation_rng(X1)&![X3]:![X4]:(((in(X3,relation_rng(X1))&X4=apply(X2,X3))=>(in(X4,relation_dom(X1))&X3=apply(X1,X4)))&((in(X4,relation_dom(X1))&X3=apply(X1,X4))=>(in(X3,relation_rng(X1))&X4=apply(X2,X3))))))))),file('/tmp/SRASS.s.p', t54_funct_1)).
% fof(4, axiom,![X1]:((relation(X1)&function(X1))=>(relation(function_inverse(X1))&function(function_inverse(X1)))),file('/tmp/SRASS.s.p', dt_k2_funct_1)).
% fof(5, axiom,![X1]:((relation(X1)&function(X1))=>![X2]:(X2=relation_rng(X1)<=>![X3]:(in(X3,X2)<=>?[X4]:(in(X4,relation_dom(X1))&X3=apply(X1,X4))))),file('/tmp/SRASS.s.p', d5_funct_1)).
% fof(7, conjecture,![X1]:((relation(X1)&function(X1))=>![X2]:((relation(X2)&function(X2))=>((((one_to_one(X1)&relation_dom(X1)=relation_rng(X2))&relation_rng(X1)=relation_dom(X2))&![X3]:![X4]:((in(X3,relation_dom(X1))&in(X4,relation_dom(X2)))=>(apply(X1,X3)=X4<=>apply(X2,X4)=X3)))=>X2=function_inverse(X1)))),file('/tmp/SRASS.s.p', t60_funct_1)).
% fof(8, negated_conjecture,~(![X1]:((relation(X1)&function(X1))=>![X2]:((relation(X2)&function(X2))=>((((one_to_one(X1)&relation_dom(X1)=relation_rng(X2))&relation_rng(X1)=relation_dom(X2))&![X3]:![X4]:((in(X3,relation_dom(X1))&in(X4,relation_dom(X2)))=>(apply(X1,X3)=X4<=>apply(X2,X4)=X3)))=>X2=function_inverse(X1))))),inference(assume_negation,[status(cth)],[7])).
% fof(16, plain,![X1]:((~(relation(X1))|~(function(X1)))|![X2]:((~(relation(X2))|~(function(X2)))|((~(relation_dom(X1)=relation_dom(X2))|?[X3]:(in(X3,relation_dom(X1))&~(apply(X1,X3)=apply(X2,X3))))|X1=X2))),inference(fof_nnf,[status(thm)],[2])).
% fof(17, plain,![X4]:((~(relation(X4))|~(function(X4)))|![X5]:((~(relation(X5))|~(function(X5)))|((~(relation_dom(X4)=relation_dom(X5))|?[X6]:(in(X6,relation_dom(X4))&~(apply(X4,X6)=apply(X5,X6))))|X4=X5))),inference(variable_rename,[status(thm)],[16])).
% fof(18, plain,![X4]:((~(relation(X4))|~(function(X4)))|![X5]:((~(relation(X5))|~(function(X5)))|((~(relation_dom(X4)=relation_dom(X5))|(in(esk1_2(X4,X5),relation_dom(X4))&~(apply(X4,esk1_2(X4,X5))=apply(X5,esk1_2(X4,X5)))))|X4=X5))),inference(skolemize,[status(esa)],[17])).
% fof(19, plain,![X4]:![X5]:(((~(relation(X5))|~(function(X5)))|((~(relation_dom(X4)=relation_dom(X5))|(in(esk1_2(X4,X5),relation_dom(X4))&~(apply(X4,esk1_2(X4,X5))=apply(X5,esk1_2(X4,X5)))))|X4=X5))|(~(relation(X4))|~(function(X4)))),inference(shift_quantors,[status(thm)],[18])).
% fof(20, plain,![X4]:![X5]:(((((in(esk1_2(X4,X5),relation_dom(X4))|~(relation_dom(X4)=relation_dom(X5)))|X4=X5)|(~(relation(X5))|~(function(X5))))|(~(relation(X4))|~(function(X4))))&((((~(apply(X4,esk1_2(X4,X5))=apply(X5,esk1_2(X4,X5)))|~(relation_dom(X4)=relation_dom(X5)))|X4=X5)|(~(relation(X5))|~(function(X5))))|(~(relation(X4))|~(function(X4))))),inference(distribute,[status(thm)],[19])).
% cnf(21,plain,(X1=X2|~function(X1)|~relation(X1)|~function(X2)|~relation(X2)|relation_dom(X1)!=relation_dom(X2)|apply(X1,esk1_2(X1,X2))!=apply(X2,esk1_2(X1,X2))),inference(split_conjunct,[status(thm)],[20])).
% cnf(22,plain,(X1=X2|in(esk1_2(X1,X2),relation_dom(X1))|~function(X1)|~relation(X1)|~function(X2)|~relation(X2)|relation_dom(X1)!=relation_dom(X2)),inference(split_conjunct,[status(thm)],[20])).
% fof(23, plain,![X1]:((~(relation(X1))|~(function(X1)))|(~(one_to_one(X1))|![X2]:((~(relation(X2))|~(function(X2)))|((~(X2=function_inverse(X1))|(relation_dom(X2)=relation_rng(X1)&![X3]:![X4]:(((~(in(X3,relation_rng(X1)))|~(X4=apply(X2,X3)))|(in(X4,relation_dom(X1))&X3=apply(X1,X4)))&((~(in(X4,relation_dom(X1)))|~(X3=apply(X1,X4)))|(in(X3,relation_rng(X1))&X4=apply(X2,X3))))))&((~(relation_dom(X2)=relation_rng(X1))|?[X3]:?[X4]:(((in(X3,relation_rng(X1))&X4=apply(X2,X3))&(~(in(X4,relation_dom(X1)))|~(X3=apply(X1,X4))))|((in(X4,relation_dom(X1))&X3=apply(X1,X4))&(~(in(X3,relation_rng(X1)))|~(X4=apply(X2,X3))))))|X2=function_inverse(X1)))))),inference(fof_nnf,[status(thm)],[3])).
% fof(24, plain,![X5]:((~(relation(X5))|~(function(X5)))|(~(one_to_one(X5))|![X6]:((~(relation(X6))|~(function(X6)))|((~(X6=function_inverse(X5))|(relation_dom(X6)=relation_rng(X5)&![X7]:![X8]:(((~(in(X7,relation_rng(X5)))|~(X8=apply(X6,X7)))|(in(X8,relation_dom(X5))&X7=apply(X5,X8)))&((~(in(X8,relation_dom(X5)))|~(X7=apply(X5,X8)))|(in(X7,relation_rng(X5))&X8=apply(X6,X7))))))&((~(relation_dom(X6)=relation_rng(X5))|?[X9]:?[X10]:(((in(X9,relation_rng(X5))&X10=apply(X6,X9))&(~(in(X10,relation_dom(X5)))|~(X9=apply(X5,X10))))|((in(X10,relation_dom(X5))&X9=apply(X5,X10))&(~(in(X9,relation_rng(X5)))|~(X10=apply(X6,X9))))))|X6=function_inverse(X5)))))),inference(variable_rename,[status(thm)],[23])).
% fof(25, plain,![X5]:((~(relation(X5))|~(function(X5)))|(~(one_to_one(X5))|![X6]:((~(relation(X6))|~(function(X6)))|((~(X6=function_inverse(X5))|(relation_dom(X6)=relation_rng(X5)&![X7]:![X8]:(((~(in(X7,relation_rng(X5)))|~(X8=apply(X6,X7)))|(in(X8,relation_dom(X5))&X7=apply(X5,X8)))&((~(in(X8,relation_dom(X5)))|~(X7=apply(X5,X8)))|(in(X7,relation_rng(X5))&X8=apply(X6,X7))))))&((~(relation_dom(X6)=relation_rng(X5))|(((in(esk2_2(X5,X6),relation_rng(X5))&esk3_2(X5,X6)=apply(X6,esk2_2(X5,X6)))&(~(in(esk3_2(X5,X6),relation_dom(X5)))|~(esk2_2(X5,X6)=apply(X5,esk3_2(X5,X6)))))|((in(esk3_2(X5,X6),relation_dom(X5))&esk2_2(X5,X6)=apply(X5,esk3_2(X5,X6)))&(~(in(esk2_2(X5,X6),relation_rng(X5)))|~(esk3_2(X5,X6)=apply(X6,esk2_2(X5,X6)))))))|X6=function_inverse(X5)))))),inference(skolemize,[status(esa)],[24])).
% fof(26, plain,![X5]:![X6]:![X7]:![X8]:(((((((((~(in(X7,relation_rng(X5)))|~(X8=apply(X6,X7)))|(in(X8,relation_dom(X5))&X7=apply(X5,X8)))&((~(in(X8,relation_dom(X5)))|~(X7=apply(X5,X8)))|(in(X7,relation_rng(X5))&X8=apply(X6,X7))))&relation_dom(X6)=relation_rng(X5))|~(X6=function_inverse(X5)))&((~(relation_dom(X6)=relation_rng(X5))|(((in(esk2_2(X5,X6),relation_rng(X5))&esk3_2(X5,X6)=apply(X6,esk2_2(X5,X6)))&(~(in(esk3_2(X5,X6),relation_dom(X5)))|~(esk2_2(X5,X6)=apply(X5,esk3_2(X5,X6)))))|((in(esk3_2(X5,X6),relation_dom(X5))&esk2_2(X5,X6)=apply(X5,esk3_2(X5,X6)))&(~(in(esk2_2(X5,X6),relation_rng(X5)))|~(esk3_2(X5,X6)=apply(X6,esk2_2(X5,X6)))))))|X6=function_inverse(X5)))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5)))),inference(shift_quantors,[status(thm)],[25])).
% fof(27, plain,![X5]:![X6]:![X7]:![X8]:(((((((((in(X8,relation_dom(X5))|(~(in(X7,relation_rng(X5)))|~(X8=apply(X6,X7))))|~(X6=function_inverse(X5)))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5))))&(((((X7=apply(X5,X8)|(~(in(X7,relation_rng(X5)))|~(X8=apply(X6,X7))))|~(X6=function_inverse(X5)))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5)))))&((((((in(X7,relation_rng(X5))|(~(in(X8,relation_dom(X5)))|~(X7=apply(X5,X8))))|~(X6=function_inverse(X5)))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5))))&(((((X8=apply(X6,X7)|(~(in(X8,relation_dom(X5)))|~(X7=apply(X5,X8))))|~(X6=function_inverse(X5)))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5))))))&((((relation_dom(X6)=relation_rng(X5)|~(X6=function_inverse(X5)))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5)))))&((((((((((in(esk3_2(X5,X6),relation_dom(X5))|in(esk2_2(X5,X6),relation_rng(X5)))|~(relation_dom(X6)=relation_rng(X5)))|X6=function_inverse(X5))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5))))&((((((esk2_2(X5,X6)=apply(X5,esk3_2(X5,X6))|in(esk2_2(X5,X6),relation_rng(X5)))|~(relation_dom(X6)=relation_rng(X5)))|X6=function_inverse(X5))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5)))))&(((((((~(in(esk2_2(X5,X6),relation_rng(X5)))|~(esk3_2(X5,X6)=apply(X6,esk2_2(X5,X6))))|in(esk2_2(X5,X6),relation_rng(X5)))|~(relation_dom(X6)=relation_rng(X5)))|X6=function_inverse(X5))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5)))))&((((((((in(esk3_2(X5,X6),relation_dom(X5))|esk3_2(X5,X6)=apply(X6,esk2_2(X5,X6)))|~(relation_dom(X6)=relation_rng(X5)))|X6=function_inverse(X5))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5))))&((((((esk2_2(X5,X6)=apply(X5,esk3_2(X5,X6))|esk3_2(X5,X6)=apply(X6,esk2_2(X5,X6)))|~(relation_dom(X6)=relation_rng(X5)))|X6=function_inverse(X5))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5)))))&(((((((~(in(esk2_2(X5,X6),relation_rng(X5)))|~(esk3_2(X5,X6)=apply(X6,esk2_2(X5,X6))))|esk3_2(X5,X6)=apply(X6,esk2_2(X5,X6)))|~(relation_dom(X6)=relation_rng(X5)))|X6=function_inverse(X5))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5))))))&((((((((in(esk3_2(X5,X6),relation_dom(X5))|(~(in(esk3_2(X5,X6),relation_dom(X5)))|~(esk2_2(X5,X6)=apply(X5,esk3_2(X5,X6)))))|~(relation_dom(X6)=relation_rng(X5)))|X6=function_inverse(X5))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5))))&((((((esk2_2(X5,X6)=apply(X5,esk3_2(X5,X6))|(~(in(esk3_2(X5,X6),relation_dom(X5)))|~(esk2_2(X5,X6)=apply(X5,esk3_2(X5,X6)))))|~(relation_dom(X6)=relation_rng(X5)))|X6=function_inverse(X5))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5)))))&(((((((~(in(esk2_2(X5,X6),relation_rng(X5)))|~(esk3_2(X5,X6)=apply(X6,esk2_2(X5,X6))))|(~(in(esk3_2(X5,X6),relation_dom(X5)))|~(esk2_2(X5,X6)=apply(X5,esk3_2(X5,X6)))))|~(relation_dom(X6)=relation_rng(X5)))|X6=function_inverse(X5))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5))))))),inference(distribute,[status(thm)],[26])).
% cnf(37,plain,(relation_dom(X2)=relation_rng(X1)|~function(X1)|~relation(X1)|~one_to_one(X1)|~function(X2)|~relation(X2)|X2!=function_inverse(X1)),inference(split_conjunct,[status(thm)],[27])).
% cnf(38,plain,(X4=apply(X2,X3)|~function(X1)|~relation(X1)|~one_to_one(X1)|~function(X2)|~relation(X2)|X2!=function_inverse(X1)|X3!=apply(X1,X4)|~in(X4,relation_dom(X1))),inference(split_conjunct,[status(thm)],[27])).
% fof(42, plain,![X1]:((~(relation(X1))|~(function(X1)))|(relation(function_inverse(X1))&function(function_inverse(X1)))),inference(fof_nnf,[status(thm)],[4])).
% fof(43, plain,![X2]:((~(relation(X2))|~(function(X2)))|(relation(function_inverse(X2))&function(function_inverse(X2)))),inference(variable_rename,[status(thm)],[42])).
% fof(44, plain,![X2]:((relation(function_inverse(X2))|(~(relation(X2))|~(function(X2))))&(function(function_inverse(X2))|(~(relation(X2))|~(function(X2))))),inference(distribute,[status(thm)],[43])).
% cnf(45,plain,(function(function_inverse(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[44])).
% cnf(46,plain,(relation(function_inverse(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[44])).
% fof(47, plain,![X1]:((~(relation(X1))|~(function(X1)))|![X2]:((~(X2=relation_rng(X1))|![X3]:((~(in(X3,X2))|?[X4]:(in(X4,relation_dom(X1))&X3=apply(X1,X4)))&(![X4]:(~(in(X4,relation_dom(X1)))|~(X3=apply(X1,X4)))|in(X3,X2))))&(?[X3]:((~(in(X3,X2))|![X4]:(~(in(X4,relation_dom(X1)))|~(X3=apply(X1,X4))))&(in(X3,X2)|?[X4]:(in(X4,relation_dom(X1))&X3=apply(X1,X4))))|X2=relation_rng(X1)))),inference(fof_nnf,[status(thm)],[5])).
% fof(48, plain,![X5]:((~(relation(X5))|~(function(X5)))|![X6]:((~(X6=relation_rng(X5))|![X7]:((~(in(X7,X6))|?[X8]:(in(X8,relation_dom(X5))&X7=apply(X5,X8)))&(![X9]:(~(in(X9,relation_dom(X5)))|~(X7=apply(X5,X9)))|in(X7,X6))))&(?[X10]:((~(in(X10,X6))|![X11]:(~(in(X11,relation_dom(X5)))|~(X10=apply(X5,X11))))&(in(X10,X6)|?[X12]:(in(X12,relation_dom(X5))&X10=apply(X5,X12))))|X6=relation_rng(X5)))),inference(variable_rename,[status(thm)],[47])).
% fof(49, plain,![X5]:((~(relation(X5))|~(function(X5)))|![X6]:((~(X6=relation_rng(X5))|![X7]:((~(in(X7,X6))|(in(esk4_3(X5,X6,X7),relation_dom(X5))&X7=apply(X5,esk4_3(X5,X6,X7))))&(![X9]:(~(in(X9,relation_dom(X5)))|~(X7=apply(X5,X9)))|in(X7,X6))))&(((~(in(esk5_2(X5,X6),X6))|![X11]:(~(in(X11,relation_dom(X5)))|~(esk5_2(X5,X6)=apply(X5,X11))))&(in(esk5_2(X5,X6),X6)|(in(esk6_2(X5,X6),relation_dom(X5))&esk5_2(X5,X6)=apply(X5,esk6_2(X5,X6)))))|X6=relation_rng(X5)))),inference(skolemize,[status(esa)],[48])).
% fof(50, plain,![X5]:![X6]:![X7]:![X9]:![X11]:((((((~(in(X11,relation_dom(X5)))|~(esk5_2(X5,X6)=apply(X5,X11)))|~(in(esk5_2(X5,X6),X6)))&(in(esk5_2(X5,X6),X6)|(in(esk6_2(X5,X6),relation_dom(X5))&esk5_2(X5,X6)=apply(X5,esk6_2(X5,X6)))))|X6=relation_rng(X5))&((((~(in(X9,relation_dom(X5)))|~(X7=apply(X5,X9)))|in(X7,X6))&(~(in(X7,X6))|(in(esk4_3(X5,X6,X7),relation_dom(X5))&X7=apply(X5,esk4_3(X5,X6,X7)))))|~(X6=relation_rng(X5))))|(~(relation(X5))|~(function(X5)))),inference(shift_quantors,[status(thm)],[49])).
% fof(51, plain,![X5]:![X6]:![X7]:![X9]:![X11]:((((((~(in(X11,relation_dom(X5)))|~(esk5_2(X5,X6)=apply(X5,X11)))|~(in(esk5_2(X5,X6),X6)))|X6=relation_rng(X5))|(~(relation(X5))|~(function(X5))))&((((in(esk6_2(X5,X6),relation_dom(X5))|in(esk5_2(X5,X6),X6))|X6=relation_rng(X5))|(~(relation(X5))|~(function(X5))))&(((esk5_2(X5,X6)=apply(X5,esk6_2(X5,X6))|in(esk5_2(X5,X6),X6))|X6=relation_rng(X5))|(~(relation(X5))|~(function(X5))))))&(((((~(in(X9,relation_dom(X5)))|~(X7=apply(X5,X9)))|in(X7,X6))|~(X6=relation_rng(X5)))|(~(relation(X5))|~(function(X5))))&((((in(esk4_3(X5,X6,X7),relation_dom(X5))|~(in(X7,X6)))|~(X6=relation_rng(X5)))|(~(relation(X5))|~(function(X5))))&(((X7=apply(X5,esk4_3(X5,X6,X7))|~(in(X7,X6)))|~(X6=relation_rng(X5)))|(~(relation(X5))|~(function(X5))))))),inference(distribute,[status(thm)],[50])).
% cnf(54,plain,(in(X3,X2)|~function(X1)|~relation(X1)|X2!=relation_rng(X1)|X3!=apply(X1,X4)|~in(X4,relation_dom(X1))),inference(split_conjunct,[status(thm)],[51])).
% fof(61, negated_conjecture,?[X1]:((relation(X1)&function(X1))&?[X2]:((relation(X2)&function(X2))&((((one_to_one(X1)&relation_dom(X1)=relation_rng(X2))&relation_rng(X1)=relation_dom(X2))&![X3]:![X4]:((~(in(X3,relation_dom(X1)))|~(in(X4,relation_dom(X2))))|((~(apply(X1,X3)=X4)|apply(X2,X4)=X3)&(~(apply(X2,X4)=X3)|apply(X1,X3)=X4))))&~(X2=function_inverse(X1))))),inference(fof_nnf,[status(thm)],[8])).
% fof(62, negated_conjecture,?[X5]:((relation(X5)&function(X5))&?[X6]:((relation(X6)&function(X6))&((((one_to_one(X5)&relation_dom(X5)=relation_rng(X6))&relation_rng(X5)=relation_dom(X6))&![X7]:![X8]:((~(in(X7,relation_dom(X5)))|~(in(X8,relation_dom(X6))))|((~(apply(X5,X7)=X8)|apply(X6,X8)=X7)&(~(apply(X6,X8)=X7)|apply(X5,X7)=X8))))&~(X6=function_inverse(X5))))),inference(variable_rename,[status(thm)],[61])).
% fof(63, negated_conjecture,((relation(esk7_0)&function(esk7_0))&((relation(esk8_0)&function(esk8_0))&((((one_to_one(esk7_0)&relation_dom(esk7_0)=relation_rng(esk8_0))&relation_rng(esk7_0)=relation_dom(esk8_0))&![X7]:![X8]:((~(in(X7,relation_dom(esk7_0)))|~(in(X8,relation_dom(esk8_0))))|((~(apply(esk7_0,X7)=X8)|apply(esk8_0,X8)=X7)&(~(apply(esk8_0,X8)=X7)|apply(esk7_0,X7)=X8))))&~(esk8_0=function_inverse(esk7_0))))),inference(skolemize,[status(esa)],[62])).
% fof(64, negated_conjecture,![X7]:![X8]:((((((~(in(X7,relation_dom(esk7_0)))|~(in(X8,relation_dom(esk8_0))))|((~(apply(esk7_0,X7)=X8)|apply(esk8_0,X8)=X7)&(~(apply(esk8_0,X8)=X7)|apply(esk7_0,X7)=X8)))&((one_to_one(esk7_0)&relation_dom(esk7_0)=relation_rng(esk8_0))&relation_rng(esk7_0)=relation_dom(esk8_0)))&~(esk8_0=function_inverse(esk7_0)))&(relation(esk8_0)&function(esk8_0)))&(relation(esk7_0)&function(esk7_0))),inference(shift_quantors,[status(thm)],[63])).
% fof(65, negated_conjecture,![X7]:![X8]:(((((((~(apply(esk7_0,X7)=X8)|apply(esk8_0,X8)=X7)|(~(in(X7,relation_dom(esk7_0)))|~(in(X8,relation_dom(esk8_0)))))&((~(apply(esk8_0,X8)=X7)|apply(esk7_0,X7)=X8)|(~(in(X7,relation_dom(esk7_0)))|~(in(X8,relation_dom(esk8_0))))))&((one_to_one(esk7_0)&relation_dom(esk7_0)=relation_rng(esk8_0))&relation_rng(esk7_0)=relation_dom(esk8_0)))&~(esk8_0=function_inverse(esk7_0)))&(relation(esk8_0)&function(esk8_0)))&(relation(esk7_0)&function(esk7_0))),inference(distribute,[status(thm)],[64])).
% cnf(66,negated_conjecture,(function(esk7_0)),inference(split_conjunct,[status(thm)],[65])).
% cnf(67,negated_conjecture,(relation(esk7_0)),inference(split_conjunct,[status(thm)],[65])).
% cnf(68,negated_conjecture,(function(esk8_0)),inference(split_conjunct,[status(thm)],[65])).
% cnf(69,negated_conjecture,(relation(esk8_0)),inference(split_conjunct,[status(thm)],[65])).
% cnf(70,negated_conjecture,(esk8_0!=function_inverse(esk7_0)),inference(split_conjunct,[status(thm)],[65])).
% cnf(71,negated_conjecture,(relation_rng(esk7_0)=relation_dom(esk8_0)),inference(split_conjunct,[status(thm)],[65])).
% cnf(72,negated_conjecture,(relation_dom(esk7_0)=relation_rng(esk8_0)),inference(split_conjunct,[status(thm)],[65])).
% cnf(73,negated_conjecture,(one_to_one(esk7_0)),inference(split_conjunct,[status(thm)],[65])).
% cnf(74,negated_conjecture,(apply(esk7_0,X2)=X1|~in(X1,relation_dom(esk8_0))|~in(X2,relation_dom(esk7_0))|apply(esk8_0,X1)!=X2),inference(split_conjunct,[status(thm)],[65])).
% cnf(77,plain,(in(X1,relation_rng(X2))|apply(X2,X3)!=X1|~in(X3,relation_dom(X2))|~function(X2)|~relation(X2)),inference(er,[status(thm)],[54,theory(equality)])).
% cnf(78,negated_conjecture,(in(X1,X2)|apply(esk8_0,X3)!=X1|relation_dom(esk7_0)!=X2|~in(X3,relation_dom(esk8_0))|~function(esk8_0)|~relation(esk8_0)),inference(spm,[status(thm)],[54,72,theory(equality)])).
% cnf(80,negated_conjecture,(in(X1,X2)|apply(esk8_0,X3)!=X1|relation_dom(esk7_0)!=X2|~in(X3,relation_dom(esk8_0))|$false|~relation(esk8_0)),inference(rw,[status(thm)],[78,68,theory(equality)])).
% cnf(81,negated_conjecture,(in(X1,X2)|apply(esk8_0,X3)!=X1|relation_dom(esk7_0)!=X2|~in(X3,relation_dom(esk8_0))|$false|$false),inference(rw,[status(thm)],[80,69,theory(equality)])).
% cnf(82,negated_conjecture,(in(X1,X2)|apply(esk8_0,X3)!=X1|relation_dom(esk7_0)!=X2|~in(X3,relation_dom(esk8_0))),inference(cn,[status(thm)],[81,theory(equality)])).
% cnf(86,plain,(relation_rng(X1)=relation_dom(function_inverse(X1))|~one_to_one(X1)|~function(function_inverse(X1))|~function(X1)|~relation(function_inverse(X1))|~relation(X1)),inference(er,[status(thm)],[37,theory(equality)])).
% cnf(105,negated_conjecture,(apply(esk7_0,apply(esk8_0,X1))=X1|~in(apply(esk8_0,X1),relation_dom(esk7_0))|~in(X1,relation_dom(esk8_0))),inference(er,[status(thm)],[74,theory(equality)])).
% cnf(124,plain,(apply(function_inverse(X1),X2)=X3|apply(X1,X3)!=X2|~in(X3,relation_dom(X1))|~one_to_one(X1)|~function(function_inverse(X1))|~function(X1)|~relation(function_inverse(X1))|~relation(X1)),inference(er,[status(thm)],[38,theory(equality)])).
% cnf(183,negated_conjecture,(in(X1,relation_dom(esk7_0))|apply(esk8_0,X2)!=X1|~in(X2,relation_dom(esk8_0))),inference(er,[status(thm)],[82,theory(equality)])).
% cnf(185,negated_conjecture,(in(apply(esk8_0,X1),relation_dom(esk7_0))|~in(X1,relation_dom(esk8_0))),inference(er,[status(thm)],[183,theory(equality)])).
% cnf(197,plain,(in(apply(X1,X2),relation_rng(X1))|~in(X2,relation_dom(X1))|~function(X1)|~relation(X1)),inference(er,[status(thm)],[77,theory(equality)])).
% cnf(199,plain,(relation_dom(function_inverse(X1))=relation_rng(X1)|~one_to_one(X1)|~function(function_inverse(X1))|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[86,46])).
% cnf(200,plain,(relation_dom(function_inverse(X1))=relation_rng(X1)|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[199,45])).
% cnf(201,plain,(X1=function_inverse(X2)|in(esk1_2(X1,function_inverse(X2)),relation_dom(X1))|relation_dom(X1)!=relation_rng(X2)|~function(function_inverse(X2))|~function(X1)|~relation(function_inverse(X2))|~relation(X1)|~one_to_one(X2)|~function(X2)|~relation(X2)),inference(spm,[status(thm)],[22,200,theory(equality)])).
% cnf(205,plain,(X1=function_inverse(X2)|apply(X1,esk1_2(X1,function_inverse(X2)))!=apply(function_inverse(X2),esk1_2(X1,function_inverse(X2)))|relation_dom(X1)!=relation_rng(X2)|~function(function_inverse(X2))|~function(X1)|~relation(function_inverse(X2))|~relation(X1)|~one_to_one(X2)|~function(X2)|~relation(X2)),inference(spm,[status(thm)],[21,200,theory(equality)])).
% cnf(237,negated_conjecture,(apply(esk7_0,apply(esk8_0,X1))=X1|~in(X1,relation_dom(esk8_0))),inference(csr,[status(thm)],[105,185])).
% cnf(586,plain,(apply(function_inverse(X1),X2)=X3|apply(X1,X3)!=X2|~in(X3,relation_dom(X1))|~one_to_one(X1)|~function(function_inverse(X1))|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[124,46])).
% cnf(587,plain,(apply(function_inverse(X1),X2)=X3|apply(X1,X3)!=X2|~in(X3,relation_dom(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[586,45])).
% cnf(588,plain,(apply(function_inverse(X1),apply(X1,X2))=X2|~in(X2,relation_dom(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(er,[status(thm)],[587,theory(equality)])).
% cnf(967,plain,(X1=function_inverse(X2)|apply(X1,esk1_2(X1,function_inverse(X2)))!=apply(function_inverse(X2),esk1_2(X1,function_inverse(X2)))|relation_dom(X1)!=relation_rng(X2)|~one_to_one(X2)|~function(function_inverse(X2))|~function(X2)|~function(X1)|~relation(X1)|~relation(X2)),inference(csr,[status(thm)],[205,46])).
% cnf(968,plain,(X1=function_inverse(X2)|apply(X1,esk1_2(X1,function_inverse(X2)))!=apply(function_inverse(X2),esk1_2(X1,function_inverse(X2)))|relation_dom(X1)!=relation_rng(X2)|~one_to_one(X2)|~function(X1)|~function(X2)|~relation(X1)|~relation(X2)),inference(csr,[status(thm)],[967,45])).
% cnf(970,negated_conjecture,(X1=function_inverse(esk7_0)|apply(X1,esk1_2(X1,function_inverse(esk7_0)))!=apply(function_inverse(esk7_0),esk1_2(X1,function_inverse(esk7_0)))|relation_dom(X1)!=relation_dom(esk8_0)|~one_to_one(esk7_0)|~function(X1)|~function(esk7_0)|~relation(X1)|~relation(esk7_0)),inference(spm,[status(thm)],[968,71,theory(equality)])).
% cnf(975,negated_conjecture,(X1=function_inverse(esk7_0)|apply(X1,esk1_2(X1,function_inverse(esk7_0)))!=apply(function_inverse(esk7_0),esk1_2(X1,function_inverse(esk7_0)))|relation_dom(X1)!=relation_dom(esk8_0)|$false|~function(X1)|~function(esk7_0)|~relation(X1)|~relation(esk7_0)),inference(rw,[status(thm)],[970,73,theory(equality)])).
% cnf(976,negated_conjecture,(X1=function_inverse(esk7_0)|apply(X1,esk1_2(X1,function_inverse(esk7_0)))!=apply(function_inverse(esk7_0),esk1_2(X1,function_inverse(esk7_0)))|relation_dom(X1)!=relation_dom(esk8_0)|$false|~function(X1)|$false|~relation(X1)|~relation(esk7_0)),inference(rw,[status(thm)],[975,66,theory(equality)])).
% cnf(977,negated_conjecture,(X1=function_inverse(esk7_0)|apply(X1,esk1_2(X1,function_inverse(esk7_0)))!=apply(function_inverse(esk7_0),esk1_2(X1,function_inverse(esk7_0)))|relation_dom(X1)!=relation_dom(esk8_0)|$false|~function(X1)|$false|~relation(X1)|$false),inference(rw,[status(thm)],[976,67,theory(equality)])).
% cnf(978,negated_conjecture,(X1=function_inverse(esk7_0)|apply(X1,esk1_2(X1,function_inverse(esk7_0)))!=apply(function_inverse(esk7_0),esk1_2(X1,function_inverse(esk7_0)))|relation_dom(X1)!=relation_dom(esk8_0)|~function(X1)|~relation(X1)),inference(cn,[status(thm)],[977,theory(equality)])).
% cnf(979,negated_conjecture,(esk8_0=function_inverse(esk7_0)|apply(esk8_0,esk1_2(esk8_0,function_inverse(esk7_0)))!=apply(function_inverse(esk7_0),esk1_2(esk8_0,function_inverse(esk7_0)))|~function(esk8_0)|~relation(esk8_0)),inference(er,[status(thm)],[978,theory(equality)])).
% cnf(981,negated_conjecture,(esk8_0=function_inverse(esk7_0)|apply(esk8_0,esk1_2(esk8_0,function_inverse(esk7_0)))!=apply(function_inverse(esk7_0),esk1_2(esk8_0,function_inverse(esk7_0)))|$false|~relation(esk8_0)),inference(rw,[status(thm)],[979,68,theory(equality)])).
% cnf(982,negated_conjecture,(esk8_0=function_inverse(esk7_0)|apply(esk8_0,esk1_2(esk8_0,function_inverse(esk7_0)))!=apply(function_inverse(esk7_0),esk1_2(esk8_0,function_inverse(esk7_0)))|$false|$false),inference(rw,[status(thm)],[981,69,theory(equality)])).
% cnf(983,negated_conjecture,(esk8_0=function_inverse(esk7_0)|apply(esk8_0,esk1_2(esk8_0,function_inverse(esk7_0)))!=apply(function_inverse(esk7_0),esk1_2(esk8_0,function_inverse(esk7_0)))),inference(cn,[status(thm)],[982,theory(equality)])).
% cnf(984,negated_conjecture,(apply(function_inverse(esk7_0),esk1_2(esk8_0,function_inverse(esk7_0)))!=apply(esk8_0,esk1_2(esk8_0,function_inverse(esk7_0)))),inference(sr,[status(thm)],[983,70,theory(equality)])).
% cnf(2015,plain,(X1=function_inverse(X2)|in(esk1_2(X1,function_inverse(X2)),relation_dom(X1))|relation_dom(X1)!=relation_rng(X2)|~one_to_one(X2)|~function(function_inverse(X2))|~function(X2)|~function(X1)|~relation(X1)|~relation(X2)),inference(csr,[status(thm)],[201,46])).
% cnf(2016,plain,(X1=function_inverse(X2)|in(esk1_2(X1,function_inverse(X2)),relation_dom(X1))|relation_dom(X1)!=relation_rng(X2)|~one_to_one(X2)|~function(X1)|~function(X2)|~relation(X1)|~relation(X2)),inference(csr,[status(thm)],[2015,45])).
% cnf(2018,negated_conjecture,(X1=function_inverse(esk7_0)|in(esk1_2(X1,function_inverse(esk7_0)),relation_dom(X1))|relation_dom(X1)!=relation_dom(esk8_0)|~one_to_one(esk7_0)|~function(X1)|~function(esk7_0)|~relation(X1)|~relation(esk7_0)),inference(spm,[status(thm)],[2016,71,theory(equality)])).
% cnf(2023,negated_conjecture,(X1=function_inverse(esk7_0)|in(esk1_2(X1,function_inverse(esk7_0)),relation_dom(X1))|relation_dom(X1)!=relation_dom(esk8_0)|$false|~function(X1)|~function(esk7_0)|~relation(X1)|~relation(esk7_0)),inference(rw,[status(thm)],[2018,73,theory(equality)])).
% cnf(2024,negated_conjecture,(X1=function_inverse(esk7_0)|in(esk1_2(X1,function_inverse(esk7_0)),relation_dom(X1))|relation_dom(X1)!=relation_dom(esk8_0)|$false|~function(X1)|$false|~relation(X1)|~relation(esk7_0)),inference(rw,[status(thm)],[2023,66,theory(equality)])).
% cnf(2025,negated_conjecture,(X1=function_inverse(esk7_0)|in(esk1_2(X1,function_inverse(esk7_0)),relation_dom(X1))|relation_dom(X1)!=relation_dom(esk8_0)|$false|~function(X1)|$false|~relation(X1)|$false),inference(rw,[status(thm)],[2024,67,theory(equality)])).
% cnf(2026,negated_conjecture,(X1=function_inverse(esk7_0)|in(esk1_2(X1,function_inverse(esk7_0)),relation_dom(X1))|relation_dom(X1)!=relation_dom(esk8_0)|~function(X1)|~relation(X1)),inference(cn,[status(thm)],[2025,theory(equality)])).
% cnf(2123,negated_conjecture,(esk8_0=function_inverse(esk7_0)|in(esk1_2(esk8_0,function_inverse(esk7_0)),relation_dom(esk8_0))|~function(esk8_0)|~relation(esk8_0)),inference(er,[status(thm)],[2026,theory(equality)])).
% cnf(2125,negated_conjecture,(esk8_0=function_inverse(esk7_0)|in(esk1_2(esk8_0,function_inverse(esk7_0)),relation_dom(esk8_0))|$false|~relation(esk8_0)),inference(rw,[status(thm)],[2123,68,theory(equality)])).
% cnf(2126,negated_conjecture,(esk8_0=function_inverse(esk7_0)|in(esk1_2(esk8_0,function_inverse(esk7_0)),relation_dom(esk8_0))|$false|$false),inference(rw,[status(thm)],[2125,69,theory(equality)])).
% cnf(2127,negated_conjecture,(esk8_0=function_inverse(esk7_0)|in(esk1_2(esk8_0,function_inverse(esk7_0)),relation_dom(esk8_0))),inference(cn,[status(thm)],[2126,theory(equality)])).
% cnf(2128,negated_conjecture,(in(esk1_2(esk8_0,function_inverse(esk7_0)),relation_dom(esk8_0))),inference(sr,[status(thm)],[2127,70,theory(equality)])).
% cnf(2132,negated_conjecture,(in(apply(esk8_0,esk1_2(esk8_0,function_inverse(esk7_0))),relation_rng(esk8_0))|~function(esk8_0)|~relation(esk8_0)),inference(spm,[status(thm)],[197,2128,theory(equality)])).
% cnf(2134,negated_conjecture,(apply(esk7_0,apply(esk8_0,esk1_2(esk8_0,function_inverse(esk7_0))))=esk1_2(esk8_0,function_inverse(esk7_0))),inference(spm,[status(thm)],[237,2128,theory(equality)])).
% cnf(2141,negated_conjecture,(in(apply(esk8_0,esk1_2(esk8_0,function_inverse(esk7_0))),relation_dom(esk7_0))|~function(esk8_0)|~relation(esk8_0)),inference(rw,[status(thm)],[2132,72,theory(equality)])).
% cnf(2142,negated_conjecture,(in(apply(esk8_0,esk1_2(esk8_0,function_inverse(esk7_0))),relation_dom(esk7_0))|$false|~relation(esk8_0)),inference(rw,[status(thm)],[2141,68,theory(equality)])).
% cnf(2143,negated_conjecture,(in(apply(esk8_0,esk1_2(esk8_0,function_inverse(esk7_0))),relation_dom(esk7_0))|$false|$false),inference(rw,[status(thm)],[2142,69,theory(equality)])).
% cnf(2144,negated_conjecture,(in(apply(esk8_0,esk1_2(esk8_0,function_inverse(esk7_0))),relation_dom(esk7_0))),inference(cn,[status(thm)],[2143,theory(equality)])).
% cnf(2179,negated_conjecture,(apply(function_inverse(esk7_0),apply(esk7_0,apply(esk8_0,esk1_2(esk8_0,function_inverse(esk7_0)))))=apply(esk8_0,esk1_2(esk8_0,function_inverse(esk7_0)))|~one_to_one(esk7_0)|~function(esk7_0)|~relation(esk7_0)),inference(spm,[status(thm)],[588,2144,theory(equality)])).
% cnf(2188,negated_conjecture,(apply(function_inverse(esk7_0),esk1_2(esk8_0,function_inverse(esk7_0)))=apply(esk8_0,esk1_2(esk8_0,function_inverse(esk7_0)))|~one_to_one(esk7_0)|~function(esk7_0)|~relation(esk7_0)),inference(rw,[status(thm)],[2179,2134,theory(equality)])).
% cnf(2189,negated_conjecture,(apply(function_inverse(esk7_0),esk1_2(esk8_0,function_inverse(esk7_0)))=apply(esk8_0,esk1_2(esk8_0,function_inverse(esk7_0)))|$false|~function(esk7_0)|~relation(esk7_0)),inference(rw,[status(thm)],[2188,73,theory(equality)])).
% cnf(2190,negated_conjecture,(apply(function_inverse(esk7_0),esk1_2(esk8_0,function_inverse(esk7_0)))=apply(esk8_0,esk1_2(esk8_0,function_inverse(esk7_0)))|$false|$false|~relation(esk7_0)),inference(rw,[status(thm)],[2189,66,theory(equality)])).
% cnf(2191,negated_conjecture,(apply(function_inverse(esk7_0),esk1_2(esk8_0,function_inverse(esk7_0)))=apply(esk8_0,esk1_2(esk8_0,function_inverse(esk7_0)))|$false|$false|$false),inference(rw,[status(thm)],[2190,67,theory(equality)])).
% cnf(2192,negated_conjecture,(apply(function_inverse(esk7_0),esk1_2(esk8_0,function_inverse(esk7_0)))=apply(esk8_0,esk1_2(esk8_0,function_inverse(esk7_0)))),inference(cn,[status(thm)],[2191,theory(equality)])).
% cnf(2193,negated_conjecture,($false),inference(sr,[status(thm)],[2192,984,theory(equality)])).
% cnf(2194,negated_conjecture,($false),2193,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 361
% # ...of these trivial                : 0
% # ...subsumed                        : 89
% # ...remaining for further processing: 272
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 1
% # Backward-rewritten                 : 0
% # Generated clauses                  : 1037
% # ...of the previous two non-trivial : 1024
% # Contextual simplify-reflections    : 42
% # Paramodulations                    : 996
% # Factorizations                     : 4
% # Equation resolutions               : 37
% # Current number of processed clauses: 271
% #    Positive orientable unit clauses: 10
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 4
% #    Non-unit-clauses                : 257
% # Current number of unprocessed clauses: 694
% # ...number of literals in the above : 3033
% # Clause-clause subsumption calls (NU) : 1328
% # Rec. Clause-clause subsumption calls : 937
% # Unit Clause-clause subsumption calls : 1
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 0
% # Indexed BW rewrite successes       : 0
% # Backwards rewriting index:   245 leaves,   1.50+/-1.052 terms/leaf
% # Paramod-from index:           67 leaves,   1.33+/-0.799 terms/leaf
% # Paramod-into index:          146 leaves,   1.35+/-0.816 terms/leaf
% # -------------------------------------------------
% # User time              : 0.088 s
% # System time            : 0.004 s
% # Total time             : 0.092 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.21 CPU 0.28 WC
% FINAL PrfWatch: 0.21 CPU 0.28 WC
% SZS output end Solution for /tmp/SystemOnTPTP15988/SEU027+1.tptp
% 
%------------------------------------------------------------------------------