TSTP Solution File: SET995+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SET995+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 : 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 00:31:31 EST 2010
% Result : Theorem 109.52s
% Output : Solution 109.83s
% 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/SystemOnTPTP9970/SET995+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% not found
% Adding ~C to TBU ... ~t17_funct_1:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ... not found
% Looking for CSA axiom ... rc1_funct_1:
% fc5_relat_1:
% CSA axiom fc5_relat_1 found
% Looking for CSA axiom ... fc6_relat_1:
% CSA axiom fc6_relat_1 found
% Looking for CSA axiom ... fc7_relat_1:
% CSA axiom fc7_relat_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:
% fc8_relat_1:
% CSA axiom fc8_relat_1 found
% Looking for CSA axiom ... fc2_subset_1:
% CSA axiom fc2_subset_1 found
% Looking for CSA axiom ... cc1_funct_1: CSA axiom cc1_funct_1 found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... rc1_funct_1:
% t8_boole:
% CSA axiom t8_boole found
% Looking for CSA axiom ... d1_tarski:
% CSA axiom d1_tarski found
% Looking for CSA axiom ... d5_funct_1:
% CSA axiom d5_funct_1 found
% ---- Iteration 4 (9 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... rc1_funct_1:
% t9_funct_1:
% CSA axiom t9_funct_1 found
% Looking for CSA axiom ... cc1_relat_1:
% rc1_relat_1:
% CSA axiom rc1_relat_1 found
% Looking for CSA axiom ... rc2_relat_1:
% antisymmetry_r2_hidden:
% CSA axiom antisymmetry_r2_hidden found
% ---- Iteration 5 (12 axioms selected)
% Looking for TBU SAT ...
% no
% Looking for TBU UNS ...
% yes - theorem proved
% ---- Selection completed
% Selected axioms are ... :antisymmetry_r2_hidden:rc1_relat_1:t9_funct_1:d5_funct_1:d1_tarski:t8_boole:cc1_funct_1:fc2_subset_1:fc8_relat_1:fc7_relat_1:fc6_relat_1:fc5_relat_1 (12)
% Unselected axioms are ... :rc1_funct_1:cc1_relat_1:rc2_relat_1:fc1_xboole_0:rc1_xboole_0:rc2_xboole_0:t6_boole:rc3_relat_1:t7_boole:existence_m1_subset_1:fc4_relat_1:fc1_subset_1:t1_subset:fc12_relat_1:t4_subset:reflexivity_r1_tarski:t2_subset:t5_subset:t3_subset:rc1_subset_1:rc2_subset_1 (21)
% SZS status THM for /tmp/SystemOnTPTP9970/SET995+1.tptp
% Looking for THM ...
% found
% SZS output start Solution for /tmp/SystemOnTPTP9970/SET995+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 13145
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.014 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(3, 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(4, 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(5, axiom,![X1]:![X2]:(X2=singleton(X1)<=>![X3]:(in(X3,X2)<=>X3=X1)),file('/tmp/SRASS.s.p', d1_tarski)).
% fof(13, conjecture,![X1]:![X2]:((relation(X2)&function(X2))=>![X3]:((relation(X3)&function(X3))=>(((relation_dom(X2)=relation_dom(X3)&relation_rng(X2)=singleton(X1))&relation_rng(X3)=singleton(X1))=>X2=X3))),file('/tmp/SRASS.s.p', t17_funct_1)).
% fof(14, negated_conjecture,~(![X1]:![X2]:((relation(X2)&function(X2))=>![X3]:((relation(X3)&function(X3))=>(((relation_dom(X2)=relation_dom(X3)&relation_rng(X2)=singleton(X1))&relation_rng(X3)=singleton(X1))=>X2=X3)))),inference(assume_negation,[status(cth)],[13])).
% fof(26, 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)],[3])).
% fof(27, 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)],[26])).
% fof(28, plain,![X4]:((~(relation(X4))|~(function(X4)))|![X5]:((~(relation(X5))|~(function(X5)))|((~(relation_dom(X4)=relation_dom(X5))|(in(esk2_2(X4,X5),relation_dom(X4))&~(apply(X4,esk2_2(X4,X5))=apply(X5,esk2_2(X4,X5)))))|X4=X5))),inference(skolemize,[status(esa)],[27])).
% fof(29, plain,![X4]:![X5]:(((~(relation(X5))|~(function(X5)))|((~(relation_dom(X4)=relation_dom(X5))|(in(esk2_2(X4,X5),relation_dom(X4))&~(apply(X4,esk2_2(X4,X5))=apply(X5,esk2_2(X4,X5)))))|X4=X5))|(~(relation(X4))|~(function(X4)))),inference(shift_quantors,[status(thm)],[28])).
% fof(30, plain,![X4]:![X5]:(((((in(esk2_2(X4,X5),relation_dom(X4))|~(relation_dom(X4)=relation_dom(X5)))|X4=X5)|(~(relation(X5))|~(function(X5))))|(~(relation(X4))|~(function(X4))))&((((~(apply(X4,esk2_2(X4,X5))=apply(X5,esk2_2(X4,X5)))|~(relation_dom(X4)=relation_dom(X5)))|X4=X5)|(~(relation(X5))|~(function(X5))))|(~(relation(X4))|~(function(X4))))),inference(distribute,[status(thm)],[29])).
% cnf(31,plain,(X1=X2|~function(X1)|~relation(X1)|~function(X2)|~relation(X2)|relation_dom(X1)!=relation_dom(X2)|apply(X1,esk2_2(X1,X2))!=apply(X2,esk2_2(X1,X2))),inference(split_conjunct,[status(thm)],[30])).
% cnf(32,plain,(X1=X2|in(esk2_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)],[30])).
% fof(33, 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)],[4])).
% fof(34, 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)],[33])).
% fof(35, plain,![X5]:((~(relation(X5))|~(function(X5)))|![X6]:((~(X6=relation_rng(X5))|![X7]:((~(in(X7,X6))|(in(esk3_3(X5,X6,X7),relation_dom(X5))&X7=apply(X5,esk3_3(X5,X6,X7))))&(![X9]:(~(in(X9,relation_dom(X5)))|~(X7=apply(X5,X9)))|in(X7,X6))))&(((~(in(esk4_2(X5,X6),X6))|![X11]:(~(in(X11,relation_dom(X5)))|~(esk4_2(X5,X6)=apply(X5,X11))))&(in(esk4_2(X5,X6),X6)|(in(esk5_2(X5,X6),relation_dom(X5))&esk4_2(X5,X6)=apply(X5,esk5_2(X5,X6)))))|X6=relation_rng(X5)))),inference(skolemize,[status(esa)],[34])).
% fof(36, plain,![X5]:![X6]:![X7]:![X9]:![X11]:((((((~(in(X11,relation_dom(X5)))|~(esk4_2(X5,X6)=apply(X5,X11)))|~(in(esk4_2(X5,X6),X6)))&(in(esk4_2(X5,X6),X6)|(in(esk5_2(X5,X6),relation_dom(X5))&esk4_2(X5,X6)=apply(X5,esk5_2(X5,X6)))))|X6=relation_rng(X5))&((((~(in(X9,relation_dom(X5)))|~(X7=apply(X5,X9)))|in(X7,X6))&(~(in(X7,X6))|(in(esk3_3(X5,X6,X7),relation_dom(X5))&X7=apply(X5,esk3_3(X5,X6,X7)))))|~(X6=relation_rng(X5))))|(~(relation(X5))|~(function(X5)))),inference(shift_quantors,[status(thm)],[35])).
% fof(37, plain,![X5]:![X6]:![X7]:![X9]:![X11]:((((((~(in(X11,relation_dom(X5)))|~(esk4_2(X5,X6)=apply(X5,X11)))|~(in(esk4_2(X5,X6),X6)))|X6=relation_rng(X5))|(~(relation(X5))|~(function(X5))))&((((in(esk5_2(X5,X6),relation_dom(X5))|in(esk4_2(X5,X6),X6))|X6=relation_rng(X5))|(~(relation(X5))|~(function(X5))))&(((esk4_2(X5,X6)=apply(X5,esk5_2(X5,X6))|in(esk4_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(esk3_3(X5,X6,X7),relation_dom(X5))|~(in(X7,X6)))|~(X6=relation_rng(X5)))|(~(relation(X5))|~(function(X5))))&(((X7=apply(X5,esk3_3(X5,X6,X7))|~(in(X7,X6)))|~(X6=relation_rng(X5)))|(~(relation(X5))|~(function(X5))))))),inference(distribute,[status(thm)],[36])).
% cnf(40,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)],[37])).
% fof(44, plain,![X1]:![X2]:((~(X2=singleton(X1))|![X3]:((~(in(X3,X2))|X3=X1)&(~(X3=X1)|in(X3,X2))))&(?[X3]:((~(in(X3,X2))|~(X3=X1))&(in(X3,X2)|X3=X1))|X2=singleton(X1))),inference(fof_nnf,[status(thm)],[5])).
% fof(45, plain,![X4]:![X5]:((~(X5=singleton(X4))|![X6]:((~(in(X6,X5))|X6=X4)&(~(X6=X4)|in(X6,X5))))&(?[X7]:((~(in(X7,X5))|~(X7=X4))&(in(X7,X5)|X7=X4))|X5=singleton(X4))),inference(variable_rename,[status(thm)],[44])).
% fof(46, plain,![X4]:![X5]:((~(X5=singleton(X4))|![X6]:((~(in(X6,X5))|X6=X4)&(~(X6=X4)|in(X6,X5))))&(((~(in(esk6_2(X4,X5),X5))|~(esk6_2(X4,X5)=X4))&(in(esk6_2(X4,X5),X5)|esk6_2(X4,X5)=X4))|X5=singleton(X4))),inference(skolemize,[status(esa)],[45])).
% fof(47, plain,![X4]:![X5]:![X6]:((((~(in(X6,X5))|X6=X4)&(~(X6=X4)|in(X6,X5)))|~(X5=singleton(X4)))&(((~(in(esk6_2(X4,X5),X5))|~(esk6_2(X4,X5)=X4))&(in(esk6_2(X4,X5),X5)|esk6_2(X4,X5)=X4))|X5=singleton(X4))),inference(shift_quantors,[status(thm)],[46])).
% fof(48, plain,![X4]:![X5]:![X6]:((((~(in(X6,X5))|X6=X4)|~(X5=singleton(X4)))&((~(X6=X4)|in(X6,X5))|~(X5=singleton(X4))))&(((~(in(esk6_2(X4,X5),X5))|~(esk6_2(X4,X5)=X4))|X5=singleton(X4))&((in(esk6_2(X4,X5),X5)|esk6_2(X4,X5)=X4)|X5=singleton(X4)))),inference(distribute,[status(thm)],[47])).
% cnf(52,plain,(X3=X2|X1!=singleton(X2)|~in(X3,X1)),inference(split_conjunct,[status(thm)],[48])).
% fof(77, negated_conjecture,?[X1]:?[X2]:((relation(X2)&function(X2))&?[X3]:((relation(X3)&function(X3))&(((relation_dom(X2)=relation_dom(X3)&relation_rng(X2)=singleton(X1))&relation_rng(X3)=singleton(X1))&~(X2=X3)))),inference(fof_nnf,[status(thm)],[14])).
% fof(78, negated_conjecture,?[X4]:?[X5]:((relation(X5)&function(X5))&?[X6]:((relation(X6)&function(X6))&(((relation_dom(X5)=relation_dom(X6)&relation_rng(X5)=singleton(X4))&relation_rng(X6)=singleton(X4))&~(X5=X6)))),inference(variable_rename,[status(thm)],[77])).
% fof(79, negated_conjecture,((relation(esk8_0)&function(esk8_0))&((relation(esk9_0)&function(esk9_0))&(((relation_dom(esk8_0)=relation_dom(esk9_0)&relation_rng(esk8_0)=singleton(esk7_0))&relation_rng(esk9_0)=singleton(esk7_0))&~(esk8_0=esk9_0)))),inference(skolemize,[status(esa)],[78])).
% cnf(80,negated_conjecture,(esk8_0!=esk9_0),inference(split_conjunct,[status(thm)],[79])).
% cnf(81,negated_conjecture,(relation_rng(esk9_0)=singleton(esk7_0)),inference(split_conjunct,[status(thm)],[79])).
% cnf(82,negated_conjecture,(relation_rng(esk8_0)=singleton(esk7_0)),inference(split_conjunct,[status(thm)],[79])).
% cnf(83,negated_conjecture,(relation_dom(esk8_0)=relation_dom(esk9_0)),inference(split_conjunct,[status(thm)],[79])).
% cnf(84,negated_conjecture,(function(esk9_0)),inference(split_conjunct,[status(thm)],[79])).
% cnf(85,negated_conjecture,(relation(esk9_0)),inference(split_conjunct,[status(thm)],[79])).
% cnf(86,negated_conjecture,(function(esk8_0)),inference(split_conjunct,[status(thm)],[79])).
% cnf(87,negated_conjecture,(relation(esk8_0)),inference(split_conjunct,[status(thm)],[79])).
% cnf(123,plain,(X1=X2|~in(X2,singleton(X1))),inference(er,[status(thm)],[52,theory(equality)])).
% cnf(130,negated_conjecture,(relation_rng(esk8_0)=relation_rng(esk9_0)),inference(rw,[status(thm)],[81,82,theory(equality)])).
% cnf(152,negated_conjecture,(X1=esk9_0|in(esk2_2(X1,esk9_0),relation_dom(X1))|relation_dom(X1)!=relation_dom(esk8_0)|~function(esk9_0)|~function(X1)|~relation(esk9_0)|~relation(X1)),inference(spm,[status(thm)],[32,83,theory(equality)])).
% cnf(156,negated_conjecture,(X1=esk9_0|in(esk2_2(X1,esk9_0),relation_dom(X1))|relation_dom(X1)!=relation_dom(esk8_0)|$false|~function(X1)|~relation(esk9_0)|~relation(X1)),inference(rw,[status(thm)],[152,84,theory(equality)])).
% cnf(157,negated_conjecture,(X1=esk9_0|in(esk2_2(X1,esk9_0),relation_dom(X1))|relation_dom(X1)!=relation_dom(esk8_0)|$false|~function(X1)|$false|~relation(X1)),inference(rw,[status(thm)],[156,85,theory(equality)])).
% cnf(158,negated_conjecture,(X1=esk9_0|in(esk2_2(X1,esk9_0),relation_dom(X1))|relation_dom(X1)!=relation_dom(esk8_0)|~function(X1)|~relation(X1)),inference(cn,[status(thm)],[157,theory(equality)])).
% cnf(190,plain,(in(X1,relation_rng(X2))|apply(X2,X3)!=X1|~function(X2)|~relation(X2)|~in(X3,relation_dom(X2))),inference(er,[status(thm)],[40,theory(equality)])).
% cnf(193,negated_conjecture,(in(X1,X2)|apply(esk9_0,X3)!=X1|relation_rng(esk8_0)!=X2|~function(esk9_0)|~relation(esk9_0)|~in(X3,relation_dom(esk9_0))),inference(spm,[status(thm)],[40,130,theory(equality)])).
% cnf(196,negated_conjecture,(in(X1,X2)|apply(esk9_0,X3)!=X1|relation_rng(esk8_0)!=X2|$false|~relation(esk9_0)|~in(X3,relation_dom(esk9_0))),inference(rw,[status(thm)],[193,84,theory(equality)])).
% cnf(197,negated_conjecture,(in(X1,X2)|apply(esk9_0,X3)!=X1|relation_rng(esk8_0)!=X2|$false|$false|~in(X3,relation_dom(esk9_0))),inference(rw,[status(thm)],[196,85,theory(equality)])).
% cnf(198,negated_conjecture,(in(X1,X2)|apply(esk9_0,X3)!=X1|relation_rng(esk8_0)!=X2|$false|$false|~in(X3,relation_dom(esk8_0))),inference(rw,[status(thm)],[197,83,theory(equality)])).
% cnf(199,negated_conjecture,(in(X1,X2)|apply(esk9_0,X3)!=X1|relation_rng(esk8_0)!=X2|~in(X3,relation_dom(esk8_0))),inference(cn,[status(thm)],[198,theory(equality)])).
% cnf(208,negated_conjecture,(X1=esk9_0|apply(X1,esk2_2(X1,esk9_0))!=apply(esk9_0,esk2_2(X1,esk9_0))|relation_dom(X1)!=relation_dom(esk8_0)|~function(esk9_0)|~function(X1)|~relation(esk9_0)|~relation(X1)),inference(spm,[status(thm)],[31,83,theory(equality)])).
% cnf(212,negated_conjecture,(X1=esk9_0|apply(X1,esk2_2(X1,esk9_0))!=apply(esk9_0,esk2_2(X1,esk9_0))|relation_dom(X1)!=relation_dom(esk8_0)|$false|~function(X1)|~relation(esk9_0)|~relation(X1)),inference(rw,[status(thm)],[208,84,theory(equality)])).
% cnf(213,negated_conjecture,(X1=esk9_0|apply(X1,esk2_2(X1,esk9_0))!=apply(esk9_0,esk2_2(X1,esk9_0))|relation_dom(X1)!=relation_dom(esk8_0)|$false|~function(X1)|$false|~relation(X1)),inference(rw,[status(thm)],[212,85,theory(equality)])).
% cnf(214,negated_conjecture,(X1=esk9_0|apply(X1,esk2_2(X1,esk9_0))!=apply(esk9_0,esk2_2(X1,esk9_0))|relation_dom(X1)!=relation_dom(esk8_0)|~function(X1)|~relation(X1)),inference(cn,[status(thm)],[213,theory(equality)])).
% cnf(228,negated_conjecture,(esk7_0=X1|~in(X1,relation_rng(esk8_0))),inference(spm,[status(thm)],[123,82,theory(equality)])).
% cnf(746,negated_conjecture,(in(X1,relation_rng(esk8_0))|apply(esk9_0,X2)!=X1|~in(X2,relation_dom(esk8_0))),inference(er,[status(thm)],[199,theory(equality)])).
% cnf(863,negated_conjecture,(in(apply(esk9_0,X1),relation_rng(esk8_0))|~in(X1,relation_dom(esk8_0))),inference(er,[status(thm)],[746,theory(equality)])).
% cnf(1577,plain,(in(apply(X1,X2),relation_rng(X1))|~function(X1)|~relation(X1)|~in(X2,relation_dom(X1))),inference(er,[status(thm)],[190,theory(equality)])).
% cnf(2048,negated_conjecture,(esk8_0=esk9_0|in(esk2_2(esk8_0,esk9_0),relation_dom(esk8_0))|~function(esk8_0)|~relation(esk8_0)),inference(er,[status(thm)],[158,theory(equality)])).
% cnf(2065,negated_conjecture,(esk8_0=esk9_0|in(esk2_2(esk8_0,esk9_0),relation_dom(esk8_0))|$false|~relation(esk8_0)),inference(rw,[status(thm)],[2048,86,theory(equality)])).
% cnf(2066,negated_conjecture,(esk8_0=esk9_0|in(esk2_2(esk8_0,esk9_0),relation_dom(esk8_0))|$false|$false),inference(rw,[status(thm)],[2065,87,theory(equality)])).
% cnf(2067,negated_conjecture,(esk8_0=esk9_0|in(esk2_2(esk8_0,esk9_0),relation_dom(esk8_0))),inference(cn,[status(thm)],[2066,theory(equality)])).
% cnf(2068,negated_conjecture,(in(esk2_2(esk8_0,esk9_0),relation_dom(esk8_0))),inference(sr,[status(thm)],[2067,80,theory(equality)])).
% cnf(2076,negated_conjecture,(in(apply(esk9_0,esk2_2(esk8_0,esk9_0)),relation_rng(esk8_0))),inference(spm,[status(thm)],[863,2068,theory(equality)])).
% cnf(2120,negated_conjecture,(esk7_0=apply(esk9_0,esk2_2(esk8_0,esk9_0))),inference(spm,[status(thm)],[228,2076,theory(equality)])).
% cnf(3132,negated_conjecture,(in(apply(esk8_0,esk2_2(esk8_0,esk9_0)),relation_rng(esk8_0))|~function(esk8_0)|~relation(esk8_0)),inference(spm,[status(thm)],[1577,2068,theory(equality)])).
% cnf(3149,negated_conjecture,(in(apply(esk8_0,esk2_2(esk8_0,esk9_0)),relation_rng(esk8_0))|$false|~relation(esk8_0)),inference(rw,[status(thm)],[3132,86,theory(equality)])).
% cnf(3150,negated_conjecture,(in(apply(esk8_0,esk2_2(esk8_0,esk9_0)),relation_rng(esk8_0))|$false|$false),inference(rw,[status(thm)],[3149,87,theory(equality)])).
% cnf(3151,negated_conjecture,(in(apply(esk8_0,esk2_2(esk8_0,esk9_0)),relation_rng(esk8_0))),inference(cn,[status(thm)],[3150,theory(equality)])).
% cnf(3294,negated_conjecture,(esk7_0=apply(esk8_0,esk2_2(esk8_0,esk9_0))),inference(spm,[status(thm)],[228,3151,theory(equality)])).
% cnf(4387,negated_conjecture,(esk8_0=esk9_0|apply(esk8_0,esk2_2(esk8_0,esk9_0))!=apply(esk9_0,esk2_2(esk8_0,esk9_0))|~function(esk8_0)|~relation(esk8_0)),inference(er,[status(thm)],[214,theory(equality)])).
% cnf(4404,negated_conjecture,(esk8_0=esk9_0|esk7_0!=apply(esk9_0,esk2_2(esk8_0,esk9_0))|~function(esk8_0)|~relation(esk8_0)),inference(rw,[status(thm)],[4387,3294,theory(equality)])).
% cnf(4405,negated_conjecture,(esk8_0=esk9_0|$false|~function(esk8_0)|~relation(esk8_0)),inference(rw,[status(thm)],[4404,2120,theory(equality)])).
% cnf(4406,negated_conjecture,(esk8_0=esk9_0|$false|$false|~relation(esk8_0)),inference(rw,[status(thm)],[4405,86,theory(equality)])).
% cnf(4407,negated_conjecture,(esk8_0=esk9_0|$false|$false|$false),inference(rw,[status(thm)],[4406,87,theory(equality)])).
% cnf(4408,negated_conjecture,(esk8_0=esk9_0),inference(cn,[status(thm)],[4407,theory(equality)])).
% cnf(4409,negated_conjecture,($false),inference(sr,[status(thm)],[4408,80,theory(equality)])).
% cnf(4410,negated_conjecture,($false),4409,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1196
% # ...of these trivial : 0
% # ...subsumed : 944
% # ...remaining for further processing: 252
% # Other redundant clauses eliminated : 76
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 3
% # Backward-rewritten : 6
% # Generated clauses : 2939
% # ...of the previous two non-trivial : 2774
% # Contextual simplify-reflections : 446
% # Paramodulations : 2812
% # Factorizations : 8
% # Equation resolutions : 119
% # Current number of processed clauses: 242
% # Positive orientable unit clauses: 23
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 11
% # Non-unit-clauses : 208
% # Current number of unprocessed clauses: 1433
% # ...number of literals in the above : 8300
% # Clause-clause subsumption calls (NU) : 11801
% # Rec. Clause-clause subsumption calls : 6503
% # Unit Clause-clause subsumption calls : 14
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 9
% # Indexed BW rewrite successes : 6
% # Backwards rewriting index: 187 leaves, 1.35+/-0.971 terms/leaf
% # Paramod-from index: 59 leaves, 1.15+/-0.481 terms/leaf
% # Paramod-into index: 132 leaves, 1.23+/-0.681 terms/leaf
% # -------------------------------------------------
% # User time : 0.195 s
% # System time : 0.004 s
% # Total time : 0.199 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.34 CPU 0.43 WC
% FINAL PrfWatch: 0.34 CPU 0.43 WC
% SZS output end Solution for /tmp/SystemOnTPTP9970/SET995+1.tptp
%
%------------------------------------------------------------------------------