TSTP Solution File: SEU028+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU028+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 : art04.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 00:40:19 EST 2010
% Result : Theorem 117.28s
% Output : Solution 117.96s
% 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/SystemOnTPTP14185/SEU028+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% not found
% Adding ~C to TBU ... ~t61_funct_1:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT ... yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... dt_k2_funct_1:
% CSA axiom dt_k2_funct_1 found
% Looking for CSA axiom ... dt_k5_relat_1:
% CSA axiom dt_k5_relat_1 found
% Looking for CSA axiom ... dt_k6_relat_1:
% CSA axiom dt_k6_relat_1 found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... fc1_funct_1:
% CSA axiom fc1_funct_1 found
% Looking for CSA axiom ... fc2_funct_1:
% CSA axiom fc2_funct_1 found
% Looking for CSA axiom ... rc1_funct_1:
% rc3_funct_1:
% t58_funct_1: CSA axiom t58_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:
% rc3_funct_1:
% t59_funct_1:
% CSA axiom t59_funct_1 found
% Looking for CSA axiom ... cc2_funct_1:
% CSA axiom cc2_funct_1 found
% Looking for CSA axiom ... t56_funct_1:
% CSA axiom t56_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:
% rc3_funct_1:
% t57_funct_1:
% CSA axiom t57_funct_1 found
% Looking for CSA axiom ... fc5_relat_1:
% CSA axiom fc5_relat_1 found
% Looking for CSA axiom ... fc6_relat_1:
% CSA axiom fc6_relat_1 found
% ---- Iteration 5 (12 axioms selected)
% Looking for TBU SAT ... yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... rc1_funct_1:
% rc3_funct_1:
% fc7_relat_1:
% CSA axiom fc7_relat_1 found
% Looking for CSA axiom ... fc8_relat_1:
% CSA axiom fc8_relat_1 found
% Looking for CSA axiom ... fc10_relat_1:
% CSA axiom fc10_relat_1 found
% ---- Iteration 6 (15 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... rc1_funct_1:
% rc3_funct_1:
% fc9_relat_1:
% CSA axiom fc9_relat_1 found
% Looking for CSA axiom ... rc2_funct_1:
% CSA axiom rc2_funct_1 found
% Looking for CSA axiom ... t34_funct_1:
% CSA axiom t34_funct_1 found
% ---- Iteration 7 (18 axioms selected)
% Looking for TBU SAT ...
% no
% Looking for TBU UNS ...
% yes - theorem proved
% ---- Selection completed
% Selected axioms are ... :t34_funct_1:rc2_funct_1:fc9_relat_1:fc10_relat_1:fc8_relat_1:fc7_relat_1:fc6_relat_1:fc5_relat_1:t57_funct_1:t56_funct_1:cc2_funct_1:t59_funct_1:t58_funct_1:fc2_funct_1:fc1_funct_1:dt_k6_relat_1:dt_k5_relat_1:dt_k2_funct_1 (18)
% Unselected axioms are ... :rc1_funct_1:rc3_funct_1:t8_boole:cc1_funct_1:antisymmetry_r2_hidden:cc1_relat_1:rc1_relat_1:rc1_xboole_0:rc2_relat_1:rc2_xboole_0:existence_m1_subset_1:fc1_xboole_0:t7_boole:rc3_relat_1:t6_boole:t1_subset:fc4_relat_1:t4_subset:reflexivity_r1_tarski:t2_subset:t5_subset:fc12_relat_1:fc1_subset_1:t3_subset:rc1_subset_1:rc2_subset_1 (26)
% SZS status THM for /tmp/SystemOnTPTP14185/SEU028+1.tptp
% Looking for THM ...
% found
% SZS output start Solution for /tmp/SystemOnTPTP14185/SEU028+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 18913
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.014 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:((relation(X2)&function(X2))=>(X2=identity_relation(X1)<=>(relation_dom(X2)=X1&![X3]:(in(X3,X1)=>apply(X2,X3)=X3)))),file('/tmp/SRASS.s.p', t34_funct_1)).
% fof(9, axiom,![X1]:![X2]:((relation(X2)&function(X2))=>((one_to_one(X2)&in(X1,relation_rng(X2)))=>(X1=apply(X2,apply(function_inverse(X2),X1))&X1=apply(relation_composition(function_inverse(X2),X2),X1)))),file('/tmp/SRASS.s.p', t57_funct_1)).
% fof(10, axiom,![X1]:![X2]:((relation(X2)&function(X2))=>((one_to_one(X2)&in(X1,relation_dom(X2)))=>(X1=apply(function_inverse(X2),apply(X2,X1))&X1=apply(relation_composition(X2,function_inverse(X2)),X1)))),file('/tmp/SRASS.s.p', t56_funct_1)).
% fof(12, axiom,![X1]:((relation(X1)&function(X1))=>(one_to_one(X1)=>(relation_dom(relation_composition(function_inverse(X1),X1))=relation_rng(X1)&relation_rng(relation_composition(function_inverse(X1),X1))=relation_rng(X1)))),file('/tmp/SRASS.s.p', t59_funct_1)).
% fof(13, axiom,![X1]:((relation(X1)&function(X1))=>(one_to_one(X1)=>(relation_dom(relation_composition(X1,function_inverse(X1)))=relation_dom(X1)&relation_rng(relation_composition(X1,function_inverse(X1)))=relation_dom(X1)))),file('/tmp/SRASS.s.p', t58_funct_1)).
% fof(15, axiom,![X1]:![X2]:((((relation(X1)&function(X1))&relation(X2))&function(X2))=>(relation(relation_composition(X1,X2))&function(relation_composition(X1,X2)))),file('/tmp/SRASS.s.p', fc1_funct_1)).
% fof(17, axiom,![X1]:![X2]:((relation(X1)&relation(X2))=>relation(relation_composition(X1,X2))),file('/tmp/SRASS.s.p', dt_k5_relat_1)).
% fof(18, axiom,![X1]:((relation(X1)&function(X1))=>(relation(function_inverse(X1))&function(function_inverse(X1)))),file('/tmp/SRASS.s.p', dt_k2_funct_1)).
% fof(19, conjecture,![X1]:((relation(X1)&function(X1))=>(one_to_one(X1)=>(relation_composition(X1,function_inverse(X1))=identity_relation(relation_dom(X1))&relation_composition(function_inverse(X1),X1)=identity_relation(relation_rng(X1))))),file('/tmp/SRASS.s.p', t61_funct_1)).
% fof(20, negated_conjecture,~(![X1]:((relation(X1)&function(X1))=>(one_to_one(X1)=>(relation_composition(X1,function_inverse(X1))=identity_relation(relation_dom(X1))&relation_composition(function_inverse(X1),X1)=identity_relation(relation_rng(X1)))))),inference(assume_negation,[status(cth)],[19])).
% fof(23, plain,![X1]:![X2]:((~(relation(X2))|~(function(X2)))|((~(X2=identity_relation(X1))|(relation_dom(X2)=X1&![X3]:(~(in(X3,X1))|apply(X2,X3)=X3)))&((~(relation_dom(X2)=X1)|?[X3]:(in(X3,X1)&~(apply(X2,X3)=X3)))|X2=identity_relation(X1)))),inference(fof_nnf,[status(thm)],[1])).
% fof(24, plain,![X4]:![X5]:((~(relation(X5))|~(function(X5)))|((~(X5=identity_relation(X4))|(relation_dom(X5)=X4&![X6]:(~(in(X6,X4))|apply(X5,X6)=X6)))&((~(relation_dom(X5)=X4)|?[X7]:(in(X7,X4)&~(apply(X5,X7)=X7)))|X5=identity_relation(X4)))),inference(variable_rename,[status(thm)],[23])).
% fof(25, plain,![X4]:![X5]:((~(relation(X5))|~(function(X5)))|((~(X5=identity_relation(X4))|(relation_dom(X5)=X4&![X6]:(~(in(X6,X4))|apply(X5,X6)=X6)))&((~(relation_dom(X5)=X4)|(in(esk1_2(X4,X5),X4)&~(apply(X5,esk1_2(X4,X5))=esk1_2(X4,X5))))|X5=identity_relation(X4)))),inference(skolemize,[status(esa)],[24])).
% fof(26, plain,![X4]:![X5]:![X6]:(((((~(in(X6,X4))|apply(X5,X6)=X6)&relation_dom(X5)=X4)|~(X5=identity_relation(X4)))&((~(relation_dom(X5)=X4)|(in(esk1_2(X4,X5),X4)&~(apply(X5,esk1_2(X4,X5))=esk1_2(X4,X5))))|X5=identity_relation(X4)))|(~(relation(X5))|~(function(X5)))),inference(shift_quantors,[status(thm)],[25])).
% fof(27, plain,![X4]:![X5]:![X6]:(((((~(in(X6,X4))|apply(X5,X6)=X6)|~(X5=identity_relation(X4)))|(~(relation(X5))|~(function(X5))))&((relation_dom(X5)=X4|~(X5=identity_relation(X4)))|(~(relation(X5))|~(function(X5)))))&((((in(esk1_2(X4,X5),X4)|~(relation_dom(X5)=X4))|X5=identity_relation(X4))|(~(relation(X5))|~(function(X5))))&(((~(apply(X5,esk1_2(X4,X5))=esk1_2(X4,X5))|~(relation_dom(X5)=X4))|X5=identity_relation(X4))|(~(relation(X5))|~(function(X5)))))),inference(distribute,[status(thm)],[26])).
% cnf(28,plain,(X1=identity_relation(X2)|~function(X1)|~relation(X1)|relation_dom(X1)!=X2|apply(X1,esk1_2(X2,X1))!=esk1_2(X2,X1)),inference(split_conjunct,[status(thm)],[27])).
% cnf(29,plain,(X1=identity_relation(X2)|in(esk1_2(X2,X1),X2)|~function(X1)|~relation(X1)|relation_dom(X1)!=X2),inference(split_conjunct,[status(thm)],[27])).
% fof(63, plain,![X1]:![X2]:((~(relation(X2))|~(function(X2)))|((~(one_to_one(X2))|~(in(X1,relation_rng(X2))))|(X1=apply(X2,apply(function_inverse(X2),X1))&X1=apply(relation_composition(function_inverse(X2),X2),X1)))),inference(fof_nnf,[status(thm)],[9])).
% fof(64, plain,![X3]:![X4]:((~(relation(X4))|~(function(X4)))|((~(one_to_one(X4))|~(in(X3,relation_rng(X4))))|(X3=apply(X4,apply(function_inverse(X4),X3))&X3=apply(relation_composition(function_inverse(X4),X4),X3)))),inference(variable_rename,[status(thm)],[63])).
% fof(65, plain,![X3]:![X4]:(((X3=apply(X4,apply(function_inverse(X4),X3))|(~(one_to_one(X4))|~(in(X3,relation_rng(X4)))))|(~(relation(X4))|~(function(X4))))&((X3=apply(relation_composition(function_inverse(X4),X4),X3)|(~(one_to_one(X4))|~(in(X3,relation_rng(X4)))))|(~(relation(X4))|~(function(X4))))),inference(distribute,[status(thm)],[64])).
% cnf(66,plain,(X2=apply(relation_composition(function_inverse(X1),X1),X2)|~function(X1)|~relation(X1)|~in(X2,relation_rng(X1))|~one_to_one(X1)),inference(split_conjunct,[status(thm)],[65])).
% fof(68, plain,![X1]:![X2]:((~(relation(X2))|~(function(X2)))|((~(one_to_one(X2))|~(in(X1,relation_dom(X2))))|(X1=apply(function_inverse(X2),apply(X2,X1))&X1=apply(relation_composition(X2,function_inverse(X2)),X1)))),inference(fof_nnf,[status(thm)],[10])).
% fof(69, plain,![X3]:![X4]:((~(relation(X4))|~(function(X4)))|((~(one_to_one(X4))|~(in(X3,relation_dom(X4))))|(X3=apply(function_inverse(X4),apply(X4,X3))&X3=apply(relation_composition(X4,function_inverse(X4)),X3)))),inference(variable_rename,[status(thm)],[68])).
% fof(70, plain,![X3]:![X4]:(((X3=apply(function_inverse(X4),apply(X4,X3))|(~(one_to_one(X4))|~(in(X3,relation_dom(X4)))))|(~(relation(X4))|~(function(X4))))&((X3=apply(relation_composition(X4,function_inverse(X4)),X3)|(~(one_to_one(X4))|~(in(X3,relation_dom(X4)))))|(~(relation(X4))|~(function(X4))))),inference(distribute,[status(thm)],[69])).
% cnf(71,plain,(X2=apply(relation_composition(X1,function_inverse(X1)),X2)|~function(X1)|~relation(X1)|~in(X2,relation_dom(X1))|~one_to_one(X1)),inference(split_conjunct,[status(thm)],[70])).
% fof(79, plain,![X1]:((~(relation(X1))|~(function(X1)))|(~(one_to_one(X1))|(relation_dom(relation_composition(function_inverse(X1),X1))=relation_rng(X1)&relation_rng(relation_composition(function_inverse(X1),X1))=relation_rng(X1)))),inference(fof_nnf,[status(thm)],[12])).
% fof(80, plain,![X2]:((~(relation(X2))|~(function(X2)))|(~(one_to_one(X2))|(relation_dom(relation_composition(function_inverse(X2),X2))=relation_rng(X2)&relation_rng(relation_composition(function_inverse(X2),X2))=relation_rng(X2)))),inference(variable_rename,[status(thm)],[79])).
% fof(81, plain,![X2]:(((relation_dom(relation_composition(function_inverse(X2),X2))=relation_rng(X2)|~(one_to_one(X2)))|(~(relation(X2))|~(function(X2))))&((relation_rng(relation_composition(function_inverse(X2),X2))=relation_rng(X2)|~(one_to_one(X2)))|(~(relation(X2))|~(function(X2))))),inference(distribute,[status(thm)],[80])).
% cnf(83,plain,(relation_dom(relation_composition(function_inverse(X1),X1))=relation_rng(X1)|~function(X1)|~relation(X1)|~one_to_one(X1)),inference(split_conjunct,[status(thm)],[81])).
% fof(84, plain,![X1]:((~(relation(X1))|~(function(X1)))|(~(one_to_one(X1))|(relation_dom(relation_composition(X1,function_inverse(X1)))=relation_dom(X1)&relation_rng(relation_composition(X1,function_inverse(X1)))=relation_dom(X1)))),inference(fof_nnf,[status(thm)],[13])).
% fof(85, plain,![X2]:((~(relation(X2))|~(function(X2)))|(~(one_to_one(X2))|(relation_dom(relation_composition(X2,function_inverse(X2)))=relation_dom(X2)&relation_rng(relation_composition(X2,function_inverse(X2)))=relation_dom(X2)))),inference(variable_rename,[status(thm)],[84])).
% fof(86, plain,![X2]:(((relation_dom(relation_composition(X2,function_inverse(X2)))=relation_dom(X2)|~(one_to_one(X2)))|(~(relation(X2))|~(function(X2))))&((relation_rng(relation_composition(X2,function_inverse(X2)))=relation_dom(X2)|~(one_to_one(X2)))|(~(relation(X2))|~(function(X2))))),inference(distribute,[status(thm)],[85])).
% cnf(88,plain,(relation_dom(relation_composition(X1,function_inverse(X1)))=relation_dom(X1)|~function(X1)|~relation(X1)|~one_to_one(X1)),inference(split_conjunct,[status(thm)],[86])).
% fof(92, plain,![X1]:![X2]:((((~(relation(X1))|~(function(X1)))|~(relation(X2)))|~(function(X2)))|(relation(relation_composition(X1,X2))&function(relation_composition(X1,X2)))),inference(fof_nnf,[status(thm)],[15])).
% fof(93, plain,![X3]:![X4]:((((~(relation(X3))|~(function(X3)))|~(relation(X4)))|~(function(X4)))|(relation(relation_composition(X3,X4))&function(relation_composition(X3,X4)))),inference(variable_rename,[status(thm)],[92])).
% fof(94, plain,![X3]:![X4]:((relation(relation_composition(X3,X4))|(((~(relation(X3))|~(function(X3)))|~(relation(X4)))|~(function(X4))))&(function(relation_composition(X3,X4))|(((~(relation(X3))|~(function(X3)))|~(relation(X4)))|~(function(X4))))),inference(distribute,[status(thm)],[93])).
% cnf(95,plain,(function(relation_composition(X2,X1))|~function(X1)|~relation(X1)|~function(X2)|~relation(X2)),inference(split_conjunct,[status(thm)],[94])).
% fof(99, plain,![X1]:![X2]:((~(relation(X1))|~(relation(X2)))|relation(relation_composition(X1,X2))),inference(fof_nnf,[status(thm)],[17])).
% fof(100, plain,![X3]:![X4]:((~(relation(X3))|~(relation(X4)))|relation(relation_composition(X3,X4))),inference(variable_rename,[status(thm)],[99])).
% cnf(101,plain,(relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1)),inference(split_conjunct,[status(thm)],[100])).
% fof(102, plain,![X1]:((~(relation(X1))|~(function(X1)))|(relation(function_inverse(X1))&function(function_inverse(X1)))),inference(fof_nnf,[status(thm)],[18])).
% fof(103, plain,![X2]:((~(relation(X2))|~(function(X2)))|(relation(function_inverse(X2))&function(function_inverse(X2)))),inference(variable_rename,[status(thm)],[102])).
% fof(104, plain,![X2]:((relation(function_inverse(X2))|(~(relation(X2))|~(function(X2))))&(function(function_inverse(X2))|(~(relation(X2))|~(function(X2))))),inference(distribute,[status(thm)],[103])).
% cnf(105,plain,(function(function_inverse(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[104])).
% cnf(106,plain,(relation(function_inverse(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[104])).
% fof(107, negated_conjecture,?[X1]:((relation(X1)&function(X1))&(one_to_one(X1)&(~(relation_composition(X1,function_inverse(X1))=identity_relation(relation_dom(X1)))|~(relation_composition(function_inverse(X1),X1)=identity_relation(relation_rng(X1)))))),inference(fof_nnf,[status(thm)],[20])).
% fof(108, negated_conjecture,?[X2]:((relation(X2)&function(X2))&(one_to_one(X2)&(~(relation_composition(X2,function_inverse(X2))=identity_relation(relation_dom(X2)))|~(relation_composition(function_inverse(X2),X2)=identity_relation(relation_rng(X2)))))),inference(variable_rename,[status(thm)],[107])).
% fof(109, negated_conjecture,((relation(esk3_0)&function(esk3_0))&(one_to_one(esk3_0)&(~(relation_composition(esk3_0,function_inverse(esk3_0))=identity_relation(relation_dom(esk3_0)))|~(relation_composition(function_inverse(esk3_0),esk3_0)=identity_relation(relation_rng(esk3_0)))))),inference(skolemize,[status(esa)],[108])).
% cnf(110,negated_conjecture,(relation_composition(function_inverse(esk3_0),esk3_0)!=identity_relation(relation_rng(esk3_0))|relation_composition(esk3_0,function_inverse(esk3_0))!=identity_relation(relation_dom(esk3_0))),inference(split_conjunct,[status(thm)],[109])).
% cnf(111,negated_conjecture,(one_to_one(esk3_0)),inference(split_conjunct,[status(thm)],[109])).
% cnf(112,negated_conjecture,(function(esk3_0)),inference(split_conjunct,[status(thm)],[109])).
% cnf(113,negated_conjecture,(relation(esk3_0)),inference(split_conjunct,[status(thm)],[109])).
% cnf(135,plain,(identity_relation(relation_dom(X1))=X1|in(esk1_2(relation_dom(X1),X1),relation_dom(X1))|~function(X1)|~relation(X1)),inference(er,[status(thm)],[29,theory(equality)])).
% cnf(148,plain,(identity_relation(relation_dom(X1))=X1|apply(X1,esk1_2(relation_dom(X1),X1))!=esk1_2(relation_dom(X1),X1)|~function(X1)|~relation(X1)),inference(er,[status(thm)],[28,theory(equality)])).
% cnf(233,plain,(identity_relation(relation_rng(X1))=relation_composition(function_inverse(X1),X1)|in(esk1_2(relation_rng(X1),relation_composition(function_inverse(X1),X1)),relation_rng(X1))|~function(relation_composition(function_inverse(X1),X1))|~relation(relation_composition(function_inverse(X1),X1))|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(spm,[status(thm)],[135,83,theory(equality)])).
% cnf(234,plain,(identity_relation(relation_dom(X1))=relation_composition(X1,function_inverse(X1))|in(esk1_2(relation_dom(X1),relation_composition(X1,function_inverse(X1))),relation_dom(X1))|~function(relation_composition(X1,function_inverse(X1)))|~relation(relation_composition(X1,function_inverse(X1)))|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(spm,[status(thm)],[135,88,theory(equality)])).
% cnf(306,plain,(identity_relation(relation_rng(X1))=relation_composition(function_inverse(X1),X1)|apply(relation_composition(function_inverse(X1),X1),esk1_2(relation_rng(X1),relation_composition(function_inverse(X1),X1)))!=esk1_2(relation_rng(X1),relation_composition(function_inverse(X1),X1))|~function(relation_composition(function_inverse(X1),X1))|~relation(relation_composition(function_inverse(X1),X1))|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(spm,[status(thm)],[148,83,theory(equality)])).
% cnf(307,plain,(identity_relation(relation_dom(X1))=relation_composition(X1,function_inverse(X1))|apply(relation_composition(X1,function_inverse(X1)),esk1_2(relation_dom(X1),relation_composition(X1,function_inverse(X1))))!=esk1_2(relation_dom(X1),relation_composition(X1,function_inverse(X1)))|~function(relation_composition(X1,function_inverse(X1)))|~relation(relation_composition(X1,function_inverse(X1)))|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(spm,[status(thm)],[148,88,theory(equality)])).
% cnf(337,plain,(identity_relation(relation_rng(X1))=relation_composition(function_inverse(X1),X1)|in(esk1_2(relation_rng(X1),relation_composition(function_inverse(X1),X1)),relation_rng(X1))|~one_to_one(X1)|~function(X1)|~relation(relation_composition(function_inverse(X1),X1))|~relation(X1)|~function(function_inverse(X1))|~relation(function_inverse(X1))),inference(spm,[status(thm)],[233,95,theory(equality)])).
% cnf(338,plain,(identity_relation(relation_dom(X1))=relation_composition(X1,function_inverse(X1))|in(esk1_2(relation_dom(X1),relation_composition(X1,function_inverse(X1))),relation_dom(X1))|~one_to_one(X1)|~function(X1)|~relation(relation_composition(X1,function_inverse(X1)))|~relation(X1)|~function(function_inverse(X1))|~relation(function_inverse(X1))),inference(spm,[status(thm)],[234,95,theory(equality)])).
% cnf(358,plain,(identity_relation(relation_rng(X1))=relation_composition(function_inverse(X1),X1)|in(esk1_2(relation_rng(X1),relation_composition(function_inverse(X1),X1)),relation_rng(X1))|~one_to_one(X1)|~function(function_inverse(X1))|~function(X1)|~relation(relation_composition(function_inverse(X1),X1))|~relation(X1)),inference(csr,[status(thm)],[337,106])).
% cnf(359,plain,(identity_relation(relation_rng(X1))=relation_composition(function_inverse(X1),X1)|in(esk1_2(relation_rng(X1),relation_composition(function_inverse(X1),X1)),relation_rng(X1))|~one_to_one(X1)|~function(X1)|~relation(relation_composition(function_inverse(X1),X1))|~relation(X1)),inference(csr,[status(thm)],[358,105])).
% cnf(361,plain,(identity_relation(relation_rng(X1))=relation_composition(function_inverse(X1),X1)|in(esk1_2(relation_rng(X1),relation_composition(function_inverse(X1),X1)),relation_rng(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)|~relation(function_inverse(X1))),inference(spm,[status(thm)],[359,101,theory(equality)])).
% cnf(364,plain,(identity_relation(relation_rng(X1))=relation_composition(function_inverse(X1),X1)|in(esk1_2(relation_rng(X1),relation_composition(function_inverse(X1),X1)),relation_rng(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[361,106])).
% cnf(369,plain,(apply(relation_composition(function_inverse(X1),X1),esk1_2(relation_rng(X1),relation_composition(function_inverse(X1),X1)))=esk1_2(relation_rng(X1),relation_composition(function_inverse(X1),X1))|identity_relation(relation_rng(X1))=relation_composition(function_inverse(X1),X1)|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(spm,[status(thm)],[66,364,theory(equality)])).
% cnf(411,plain,(identity_relation(relation_dom(X1))=relation_composition(X1,function_inverse(X1))|in(esk1_2(relation_dom(X1),relation_composition(X1,function_inverse(X1))),relation_dom(X1))|~one_to_one(X1)|~function(function_inverse(X1))|~function(X1)|~relation(relation_composition(X1,function_inverse(X1)))|~relation(X1)),inference(csr,[status(thm)],[338,106])).
% cnf(412,plain,(identity_relation(relation_dom(X1))=relation_composition(X1,function_inverse(X1))|in(esk1_2(relation_dom(X1),relation_composition(X1,function_inverse(X1))),relation_dom(X1))|~one_to_one(X1)|~function(X1)|~relation(relation_composition(X1,function_inverse(X1)))|~relation(X1)),inference(csr,[status(thm)],[411,105])).
% cnf(415,plain,(identity_relation(relation_dom(X1))=relation_composition(X1,function_inverse(X1))|in(esk1_2(relation_dom(X1),relation_composition(X1,function_inverse(X1))),relation_dom(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)|~relation(function_inverse(X1))),inference(spm,[status(thm)],[412,101,theory(equality)])).
% cnf(427,plain,(identity_relation(relation_dom(X1))=relation_composition(X1,function_inverse(X1))|in(esk1_2(relation_dom(X1),relation_composition(X1,function_inverse(X1))),relation_dom(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[415,106])).
% cnf(432,plain,(apply(relation_composition(X1,function_inverse(X1)),esk1_2(relation_dom(X1),relation_composition(X1,function_inverse(X1))))=esk1_2(relation_dom(X1),relation_composition(X1,function_inverse(X1)))|identity_relation(relation_dom(X1))=relation_composition(X1,function_inverse(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(spm,[status(thm)],[71,427,theory(equality)])).
% cnf(609,plain,(identity_relation(relation_rng(X1))=relation_composition(function_inverse(X1),X1)|~one_to_one(X1)|~function(relation_composition(function_inverse(X1),X1))|~function(X1)|~relation(relation_composition(function_inverse(X1),X1))|~relation(X1)),inference(csr,[status(thm)],[306,369])).
% cnf(610,plain,(identity_relation(relation_rng(X1))=relation_composition(function_inverse(X1),X1)|~one_to_one(X1)|~function(X1)|~relation(relation_composition(function_inverse(X1),X1))|~relation(X1)|~function(function_inverse(X1))|~relation(function_inverse(X1))),inference(spm,[status(thm)],[609,95,theory(equality)])).
% cnf(611,plain,(identity_relation(relation_rng(X1))=relation_composition(function_inverse(X1),X1)|~one_to_one(X1)|~function(function_inverse(X1))|~function(X1)|~relation(relation_composition(function_inverse(X1),X1))|~relation(X1)),inference(csr,[status(thm)],[610,106])).
% cnf(612,plain,(identity_relation(relation_rng(X1))=relation_composition(function_inverse(X1),X1)|~one_to_one(X1)|~function(X1)|~relation(relation_composition(function_inverse(X1),X1))|~relation(X1)),inference(csr,[status(thm)],[611,105])).
% cnf(614,plain,(identity_relation(relation_rng(X1))=relation_composition(function_inverse(X1),X1)|~one_to_one(X1)|~function(X1)|~relation(X1)|~relation(function_inverse(X1))),inference(spm,[status(thm)],[612,101,theory(equality)])).
% cnf(617,plain,(identity_relation(relation_rng(X1))=relation_composition(function_inverse(X1),X1)|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[614,106])).
% cnf(788,plain,(identity_relation(relation_dom(X1))=relation_composition(X1,function_inverse(X1))|~one_to_one(X1)|~function(relation_composition(X1,function_inverse(X1)))|~function(X1)|~relation(relation_composition(X1,function_inverse(X1)))|~relation(X1)),inference(csr,[status(thm)],[307,432])).
% cnf(789,plain,(identity_relation(relation_dom(X1))=relation_composition(X1,function_inverse(X1))|~one_to_one(X1)|~function(X1)|~relation(relation_composition(X1,function_inverse(X1)))|~relation(X1)|~function(function_inverse(X1))|~relation(function_inverse(X1))),inference(spm,[status(thm)],[788,95,theory(equality)])).
% cnf(957,plain,(identity_relation(relation_dom(X1))=relation_composition(X1,function_inverse(X1))|~one_to_one(X1)|~function(function_inverse(X1))|~function(X1)|~relation(relation_composition(X1,function_inverse(X1)))|~relation(X1)),inference(csr,[status(thm)],[789,106])).
% cnf(958,plain,(identity_relation(relation_dom(X1))=relation_composition(X1,function_inverse(X1))|~one_to_one(X1)|~function(X1)|~relation(relation_composition(X1,function_inverse(X1)))|~relation(X1)),inference(csr,[status(thm)],[957,105])).
% cnf(963,plain,(identity_relation(relation_dom(X1))=relation_composition(X1,function_inverse(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)|~relation(function_inverse(X1))),inference(spm,[status(thm)],[958,101,theory(equality)])).
% cnf(978,plain,(identity_relation(relation_dom(X1))=relation_composition(X1,function_inverse(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[963,106])).
% cnf(1035,negated_conjecture,(identity_relation(relation_rng(esk3_0))!=relation_composition(function_inverse(esk3_0),esk3_0)|~one_to_one(esk3_0)|~function(esk3_0)|~relation(esk3_0)),inference(spm,[status(thm)],[110,978,theory(equality)])).
% cnf(1108,negated_conjecture,(identity_relation(relation_rng(esk3_0))!=relation_composition(function_inverse(esk3_0),esk3_0)|$false|~function(esk3_0)|~relation(esk3_0)),inference(rw,[status(thm)],[1035,111,theory(equality)])).
% cnf(1109,negated_conjecture,(identity_relation(relation_rng(esk3_0))!=relation_composition(function_inverse(esk3_0),esk3_0)|$false|$false|~relation(esk3_0)),inference(rw,[status(thm)],[1108,112,theory(equality)])).
% cnf(1110,negated_conjecture,(identity_relation(relation_rng(esk3_0))!=relation_composition(function_inverse(esk3_0),esk3_0)|$false|$false|$false),inference(rw,[status(thm)],[1109,113,theory(equality)])).
% cnf(1111,negated_conjecture,(identity_relation(relation_rng(esk3_0))!=relation_composition(function_inverse(esk3_0),esk3_0)),inference(cn,[status(thm)],[1110,theory(equality)])).
% cnf(1117,negated_conjecture,(~one_to_one(esk3_0)|~function(esk3_0)|~relation(esk3_0)),inference(spm,[status(thm)],[1111,617,theory(equality)])).
% cnf(1118,negated_conjecture,($false|~function(esk3_0)|~relation(esk3_0)),inference(rw,[status(thm)],[1117,111,theory(equality)])).
% cnf(1119,negated_conjecture,($false|$false|~relation(esk3_0)),inference(rw,[status(thm)],[1118,112,theory(equality)])).
% cnf(1120,negated_conjecture,($false|$false|$false),inference(rw,[status(thm)],[1119,113,theory(equality)])).
% cnf(1121,negated_conjecture,($false),inference(cn,[status(thm)],[1120,theory(equality)])).
% cnf(1122,negated_conjecture,($false),1121,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 280
% # ...of these trivial : 1
% # ...subsumed : 80
% # ...remaining for further processing: 199
% # Other redundant clauses eliminated : 6
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 32
% # Backward-rewritten : 0
% # Generated clauses : 529
% # ...of the previous two non-trivial : 491
% # Contextual simplify-reflections : 148
% # Paramodulations : 510
% # Factorizations : 0
% # Equation resolutions : 19
% # Current number of processed clauses: 131
% # Positive orientable unit clauses: 9
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 1
% # Non-unit-clauses : 121
% # Current number of unprocessed clauses: 222
% # ...number of literals in the above : 1671
% # Clause-clause subsumption calls (NU) : 2401
% # Rec. Clause-clause subsumption calls : 1318
% # 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: 126 leaves, 1.37+/-0.743 terms/leaf
% # Paramod-from index: 50 leaves, 1.06+/-0.237 terms/leaf
% # Paramod-into index: 84 leaves, 1.11+/-0.346 terms/leaf
% # -------------------------------------------------
% # User time : 0.059 s
% # System time : 0.005 s
% # Total time : 0.064 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.16 CPU 0.25 WC
% FINAL PrfWatch: 0.16 CPU 0.25 WC
% SZS output end Solution for /tmp/SystemOnTPTP14185/SEU028+1.tptp
%
%------------------------------------------------------------------------------