%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU048+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 : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Thu Dec 30 00:43:46 EST 2010
% Result : Theorem 113.20s
% Output : Solution 114.14s
% 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/SystemOnTPTP18622/SEU048+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% not found
% Adding ~C to TBU ... ~t99_funct_1:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... dt_k8_relat_1:
% CSA axiom dt_k8_relat_1 found
% Looking for CSA axiom ... fc5_funct_1:
% CSA axiom fc5_funct_1 found
% Looking for CSA axiom ... rc1_funct_1:
% rc3_funct_1:
% cc2_funct_1:
% CSA axiom cc2_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:
% rc2_funct_1:
% CSA axiom rc2_funct_1 found
% Looking for CSA axiom ... cc1_funct_1:
% CSA axiom cc1_funct_1 found
% Looking for CSA axiom ... cc1_relat_1:
% CSA axiom cc1_relat_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:
% rc1_relat_1:
% rc2_relat_1:
% antisymmetry_r2_hidden:
% CSA axiom antisymmetry_r2_hidden found
% Looking for CSA axiom ... rc1_xboole_0:
% rc2_xboole_0:
% d8_funct_1:
% CSA axiom d8_funct_1 found
% Looking for CSA axiom ... t85_funct_1:
% CSA axiom t85_funct_1 found
% ---- Iteration 4 (9 axioms selected)
% Looking for TBU SAT ...
% no
% Looking for TBU UNS ...
% yes - theorem proved
% ---- Selection completed
% Selected axioms are ... :t85_funct_1:d8_funct_1:antisymmetry_r2_hidden:cc1_relat_1:cc1_funct_1:rc2_funct_1:cc2_funct_1:fc5_funct_1:dt_k8_relat_1 (9)
% Unselected axioms are ... :rc1_funct_1:rc3_funct_1:rc1_relat_1:rc2_relat_1:rc1_xboole_0:rc2_xboole_0:rc3_relat_1:t8_boole:existence_m1_subset_1:fc1_xboole_0:t7_boole:fc4_relat_1:fc5_relat_1:fc7_relat_1:reflexivity_r1_tarski:t1_subset:fc12_relat_1:t3_subset:t6_boole:t2_subset:rc1_subset_1:rc2_subset_1:t5_subset:fc1_subset_1:t4_subset (25)
% SZS status THM for /tmp/SystemOnTPTP18622/SEU048+1.tptp
% Looking for THM ...
% found
% SZS output start Solution for /tmp/SystemOnTPTP18622/SEU048+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 22013
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time : 0.015 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))=>![X3]:((relation(X3)&function(X3))=>(X2=relation_rng_restriction(X1,X3)<=>(![X4]:(in(X4,relation_dom(X2))<=>(in(X4,relation_dom(X3))&in(apply(X3,X4),X1)))&![X4]:(in(X4,relation_dom(X2))=>apply(X2,X4)=apply(X3,X4)))))),file('/tmp/SRASS.s.p', t85_funct_1)).
% fof(2, axiom,![X1]:((relation(X1)&function(X1))=>(one_to_one(X1)<=>![X2]:![X3]:(((in(X2,relation_dom(X1))&in(X3,relation_dom(X1)))&apply(X1,X2)=apply(X1,X3))=>X2=X3))),file('/tmp/SRASS.s.p', d8_funct_1)).
% fof(8, axiom,![X1]:![X2]:((relation(X2)&function(X2))=>(relation(relation_rng_restriction(X1,X2))&function(relation_rng_restriction(X1,X2)))),file('/tmp/SRASS.s.p', fc5_funct_1)).
% fof(9, axiom,![X1]:![X2]:(relation(X2)=>relation(relation_rng_restriction(X1,X2))),file('/tmp/SRASS.s.p', dt_k8_relat_1)).
% fof(10, conjecture,![X1]:![X2]:((relation(X2)&function(X2))=>(one_to_one(X2)=>one_to_one(relation_rng_restriction(X1,X2)))),file('/tmp/SRASS.s.p', t99_funct_1)).
% fof(11, negated_conjecture,~(![X1]:![X2]:((relation(X2)&function(X2))=>(one_to_one(X2)=>one_to_one(relation_rng_restriction(X1,X2))))),inference(assume_negation,[status(cth)],[10])).
% fof(13, plain,![X1]:![X2]:((~(relation(X2))|~(function(X2)))|![X3]:((~(relation(X3))|~(function(X3)))|((~(X2=relation_rng_restriction(X1,X3))|(![X4]:((~(in(X4,relation_dom(X2)))|(in(X4,relation_dom(X3))&in(apply(X3,X4),X1)))&((~(in(X4,relation_dom(X3)))|~(in(apply(X3,X4),X1)))|in(X4,relation_dom(X2))))&![X4]:(~(in(X4,relation_dom(X2)))|apply(X2,X4)=apply(X3,X4))))&((?[X4]:((~(in(X4,relation_dom(X2)))|(~(in(X4,relation_dom(X3)))|~(in(apply(X3,X4),X1))))&(in(X4,relation_dom(X2))|(in(X4,relation_dom(X3))&in(apply(X3,X4),X1))))|?[X4]:(in(X4,relation_dom(X2))&~(apply(X2,X4)=apply(X3,X4))))|X2=relation_rng_restriction(X1,X3))))),inference(fof_nnf,[status(thm)],[1])).
% fof(14, plain,![X5]:![X6]:((~(relation(X6))|~(function(X6)))|![X7]:((~(relation(X7))|~(function(X7)))|((~(X6=relation_rng_restriction(X5,X7))|(![X8]:((~(in(X8,relation_dom(X6)))|(in(X8,relation_dom(X7))&in(apply(X7,X8),X5)))&((~(in(X8,relation_dom(X7)))|~(in(apply(X7,X8),X5)))|in(X8,relation_dom(X6))))&![X9]:(~(in(X9,relation_dom(X6)))|apply(X6,X9)=apply(X7,X9))))&((?[X10]:((~(in(X10,relation_dom(X6)))|(~(in(X10,relation_dom(X7)))|~(in(apply(X7,X10),X5))))&(in(X10,relation_dom(X6))|(in(X10,relation_dom(X7))&in(apply(X7,X10),X5))))|?[X11]:(in(X11,relation_dom(X6))&~(apply(X6,X11)=apply(X7,X11))))|X6=relation_rng_restriction(X5,X7))))),inference(variable_rename,[status(thm)],[13])).
% fof(15, plain,![X5]:![X6]:((~(relation(X6))|~(function(X6)))|![X7]:((~(relation(X7))|~(function(X7)))|((~(X6=relation_rng_restriction(X5,X7))|(![X8]:((~(in(X8,relation_dom(X6)))|(in(X8,relation_dom(X7))&in(apply(X7,X8),X5)))&((~(in(X8,relation_dom(X7)))|~(in(apply(X7,X8),X5)))|in(X8,relation_dom(X6))))&![X9]:(~(in(X9,relation_dom(X6)))|apply(X6,X9)=apply(X7,X9))))&((((~(in(esk1_3(X5,X6,X7),relation_dom(X6)))|(~(in(esk1_3(X5,X6,X7),relation_dom(X7)))|~(in(apply(X7,esk1_3(X5,X6,X7)),X5))))&(in(esk1_3(X5,X6,X7),relation_dom(X6))|(in(esk1_3(X5,X6,X7),relation_dom(X7))&in(apply(X7,esk1_3(X5,X6,X7)),X5))))|(in(esk2_3(X5,X6,X7),relation_dom(X6))&~(apply(X6,esk2_3(X5,X6,X7))=apply(X7,esk2_3(X5,X6,X7)))))|X6=relation_rng_restriction(X5,X7))))),inference(skolemize,[status(esa)],[14])).
% fof(16, plain,![X5]:![X6]:![X7]:![X8]:![X9]:((((((~(in(X9,relation_dom(X6)))|apply(X6,X9)=apply(X7,X9))&((~(in(X8,relation_dom(X6)))|(in(X8,relation_dom(X7))&in(apply(X7,X8),X5)))&((~(in(X8,relation_dom(X7)))|~(in(apply(X7,X8),X5)))|in(X8,relation_dom(X6)))))|~(X6=relation_rng_restriction(X5,X7)))&((((~(in(esk1_3(X5,X6,X7),relation_dom(X6)))|(~(in(esk1_3(X5,X6,X7),relation_dom(X7)))|~(in(apply(X7,esk1_3(X5,X6,X7)),X5))))&(in(esk1_3(X5,X6,X7),relation_dom(X6))|(in(esk1_3(X5,X6,X7),relation_dom(X7))&in(apply(X7,esk1_3(X5,X6,X7)),X5))))|(in(esk2_3(X5,X6,X7),relation_dom(X6))&~(apply(X6,esk2_3(X5,X6,X7))=apply(X7,esk2_3(X5,X6,X7)))))|X6=relation_rng_restriction(X5,X7)))|(~(relation(X7))|~(function(X7))))|(~(relation(X6))|~(function(X6)))),inference(shift_quantors,[status(thm)],[15])).
% fof(17, plain,![X5]:![X6]:![X7]:![X8]:![X9]:((((((~(in(X9,relation_dom(X6)))|apply(X6,X9)=apply(X7,X9))|~(X6=relation_rng_restriction(X5,X7)))|(~(relation(X7))|~(function(X7))))|(~(relation(X6))|~(function(X6))))&((((((in(X8,relation_dom(X7))|~(in(X8,relation_dom(X6))))|~(X6=relation_rng_restriction(X5,X7)))|(~(relation(X7))|~(function(X7))))|(~(relation(X6))|~(function(X6))))&((((in(apply(X7,X8),X5)|~(in(X8,relation_dom(X6))))|~(X6=relation_rng_restriction(X5,X7)))|(~(relation(X7))|~(function(X7))))|(~(relation(X6))|~(function(X6)))))&(((((~(in(X8,relation_dom(X7)))|~(in(apply(X7,X8),X5)))|in(X8,relation_dom(X6)))|~(X6=relation_rng_restriction(X5,X7)))|(~(relation(X7))|~(function(X7))))|(~(relation(X6))|~(function(X6))))))&((((((in(esk2_3(X5,X6,X7),relation_dom(X6))|(~(in(esk1_3(X5,X6,X7),relation_dom(X6)))|(~(in(esk1_3(X5,X6,X7),relation_dom(X7)))|~(in(apply(X7,esk1_3(X5,X6,X7)),X5)))))|X6=relation_rng_restriction(X5,X7))|(~(relation(X7))|~(function(X7))))|(~(relation(X6))|~(function(X6))))&((((~(apply(X6,esk2_3(X5,X6,X7))=apply(X7,esk2_3(X5,X6,X7)))|(~(in(esk1_3(X5,X6,X7),relation_dom(X6)))|(~(in(esk1_3(X5,X6,X7),relation_dom(X7)))|~(in(apply(X7,esk1_3(X5,X6,X7)),X5)))))|X6=relation_rng_restriction(X5,X7))|(~(relation(X7))|~(function(X7))))|(~(relation(X6))|~(function(X6)))))&((((((in(esk2_3(X5,X6,X7),relation_dom(X6))|(in(esk1_3(X5,X6,X7),relation_dom(X7))|in(esk1_3(X5,X6,X7),relation_dom(X6))))|X6=relation_rng_restriction(X5,X7))|(~(relation(X7))|~(function(X7))))|(~(relation(X6))|~(function(X6))))&((((~(apply(X6,esk2_3(X5,X6,X7))=apply(X7,esk2_3(X5,X6,X7)))|(in(esk1_3(X5,X6,X7),relation_dom(X7))|in(esk1_3(X5,X6,X7),relation_dom(X6))))|X6=relation_rng_restriction(X5,X7))|(~(relation(X7))|~(function(X7))))|(~(relation(X6))|~(function(X6)))))&(((((in(esk2_3(X5,X6,X7),relation_dom(X6))|(in(apply(X7,esk1_3(X5,X6,X7)),X5)|in(esk1_3(X5,X6,X7),relation_dom(X6))))|X6=relation_rng_restriction(X5,X7))|(~(relation(X7))|~(function(X7))))|(~(relation(X6))|~(function(X6))))&((((~(apply(X6,esk2_3(X5,X6,X7))=apply(X7,esk2_3(X5,X6,X7)))|(in(apply(X7,esk1_3(X5,X6,X7)),X5)|in(esk1_3(X5,X6,X7),relation_dom(X6))))|X6=relation_rng_restriction(X5,X7))|(~(relation(X7))|~(function(X7))))|(~(relation(X6))|~(function(X6)))))))),inference(distribute,[status(thm)],[16])).
% cnf(26,plain,(in(X4,relation_dom(X2))|~function(X1)|~relation(X1)|~function(X2)|~relation(X2)|X1!=relation_rng_restriction(X3,X2)|~in(X4,relation_dom(X1))),inference(split_conjunct,[status(thm)],[17])).
% cnf(27,plain,(apply(X1,X4)=apply(X2,X4)|~function(X1)|~relation(X1)|~function(X2)|~relation(X2)|X1!=relation_rng_restriction(X3,X2)|~in(X4,relation_dom(X1))),inference(split_conjunct,[status(thm)],[17])).
% fof(28, plain,![X1]:((~(relation(X1))|~(function(X1)))|((~(one_to_one(X1))|![X2]:![X3]:(((~(in(X2,relation_dom(X1)))|~(in(X3,relation_dom(X1))))|~(apply(X1,X2)=apply(X1,X3)))|X2=X3))&(?[X2]:?[X3]:(((in(X2,relation_dom(X1))&in(X3,relation_dom(X1)))&apply(X1,X2)=apply(X1,X3))&~(X2=X3))|one_to_one(X1)))),inference(fof_nnf,[status(thm)],[2])).
% fof(29, plain,![X4]:((~(relation(X4))|~(function(X4)))|((~(one_to_one(X4))|![X5]:![X6]:(((~(in(X5,relation_dom(X4)))|~(in(X6,relation_dom(X4))))|~(apply(X4,X5)=apply(X4,X6)))|X5=X6))&(?[X7]:?[X8]:(((in(X7,relation_dom(X4))&in(X8,relation_dom(X4)))&apply(X4,X7)=apply(X4,X8))&~(X7=X8))|one_to_one(X4)))),inference(variable_rename,[status(thm)],[28])).
% fof(30, plain,![X4]:((~(relation(X4))|~(function(X4)))|((~(one_to_one(X4))|![X5]:![X6]:(((~(in(X5,relation_dom(X4)))|~(in(X6,relation_dom(X4))))|~(apply(X4,X5)=apply(X4,X6)))|X5=X6))&((((in(esk3_1(X4),relation_dom(X4))&in(esk4_1(X4),relation_dom(X4)))&apply(X4,esk3_1(X4))=apply(X4,esk4_1(X4)))&~(esk3_1(X4)=esk4_1(X4)))|one_to_one(X4)))),inference(skolemize,[status(esa)],[29])).
% fof(31, plain,![X4]:![X5]:![X6]:((((((~(in(X5,relation_dom(X4)))|~(in(X6,relation_dom(X4))))|~(apply(X4,X5)=apply(X4,X6)))|X5=X6)|~(one_to_one(X4)))&((((in(esk3_1(X4),relation_dom(X4))&in(esk4_1(X4),relation_dom(X4)))&apply(X4,esk3_1(X4))=apply(X4,esk4_1(X4)))&~(esk3_1(X4)=esk4_1(X4)))|one_to_one(X4)))|(~(relation(X4))|~(function(X4)))),inference(shift_quantors,[status(thm)],[30])).
% fof(32, plain,![X4]:![X5]:![X6]:((((((~(in(X5,relation_dom(X4)))|~(in(X6,relation_dom(X4))))|~(apply(X4,X5)=apply(X4,X6)))|X5=X6)|~(one_to_one(X4)))|(~(relation(X4))|~(function(X4))))&(((((in(esk3_1(X4),relation_dom(X4))|one_to_one(X4))|(~(relation(X4))|~(function(X4))))&((in(esk4_1(X4),relation_dom(X4))|one_to_one(X4))|(~(relation(X4))|~(function(X4)))))&((apply(X4,esk3_1(X4))=apply(X4,esk4_1(X4))|one_to_one(X4))|(~(relation(X4))|~(function(X4)))))&((~(esk3_1(X4)=esk4_1(X4))|one_to_one(X4))|(~(relation(X4))|~(function(X4)))))),inference(distribute,[status(thm)],[31])).
% cnf(33,plain,(one_to_one(X1)|~function(X1)|~relation(X1)|esk3_1(X1)!=esk4_1(X1)),inference(split_conjunct,[status(thm)],[32])).
% cnf(34,plain,(one_to_one(X1)|apply(X1,esk3_1(X1))=apply(X1,esk4_1(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[32])).
% cnf(35,plain,(one_to_one(X1)|in(esk4_1(X1),relation_dom(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[32])).
% cnf(36,plain,(one_to_one(X1)|in(esk3_1(X1),relation_dom(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[32])).
% cnf(37,plain,(X2=X3|~function(X1)|~relation(X1)|~one_to_one(X1)|apply(X1,X2)!=apply(X1,X3)|~in(X3,relation_dom(X1))|~in(X2,relation_dom(X1))),inference(split_conjunct,[status(thm)],[32])).
% fof(58, plain,![X1]:![X2]:((~(relation(X2))|~(function(X2)))|(relation(relation_rng_restriction(X1,X2))&function(relation_rng_restriction(X1,X2)))),inference(fof_nnf,[status(thm)],[8])).
% fof(59, plain,![X3]:![X4]:((~(relation(X4))|~(function(X4)))|(relation(relation_rng_restriction(X3,X4))&function(relation_rng_restriction(X3,X4)))),inference(variable_rename,[status(thm)],[58])).
% fof(60, plain,![X3]:![X4]:((relation(relation_rng_restriction(X3,X4))|(~(relation(X4))|~(function(X4))))&(function(relation_rng_restriction(X3,X4))|(~(relation(X4))|~(function(X4))))),inference(distribute,[status(thm)],[59])).
% cnf(61,plain,(function(relation_rng_restriction(X2,X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[60])).
% fof(63, plain,![X1]:![X2]:(~(relation(X2))|relation(relation_rng_restriction(X1,X2))),inference(fof_nnf,[status(thm)],[9])).
% fof(64, plain,![X3]:![X4]:(~(relation(X4))|relation(relation_rng_restriction(X3,X4))),inference(variable_rename,[status(thm)],[63])).
% cnf(65,plain,(relation(relation_rng_restriction(X1,X2))|~relation(X2)),inference(split_conjunct,[status(thm)],[64])).
% fof(66, negated_conjecture,?[X1]:?[X2]:((relation(X2)&function(X2))&(one_to_one(X2)&~(one_to_one(relation_rng_restriction(X1,X2))))),inference(fof_nnf,[status(thm)],[11])).
% fof(67, negated_conjecture,?[X3]:?[X4]:((relation(X4)&function(X4))&(one_to_one(X4)&~(one_to_one(relation_rng_restriction(X3,X4))))),inference(variable_rename,[status(thm)],[66])).
% fof(68, negated_conjecture,((relation(esk7_0)&function(esk7_0))&(one_to_one(esk7_0)&~(one_to_one(relation_rng_restriction(esk6_0,esk7_0))))),inference(skolemize,[status(esa)],[67])).
% cnf(69,negated_conjecture,(~one_to_one(relation_rng_restriction(esk6_0,esk7_0))),inference(split_conjunct,[status(thm)],[68])).
% cnf(70,negated_conjecture,(one_to_one(esk7_0)),inference(split_conjunct,[status(thm)],[68])).
% cnf(71,negated_conjecture,(function(esk7_0)),inference(split_conjunct,[status(thm)],[68])).
% cnf(72,negated_conjecture,(relation(esk7_0)),inference(split_conjunct,[status(thm)],[68])).
% cnf(84,plain,(in(X1,relation_dom(X2))|~in(X1,relation_dom(relation_rng_restriction(X3,X2)))|~function(X2)|~function(relation_rng_restriction(X3,X2))|~relation(X2)|~relation(relation_rng_restriction(X3,X2))),inference(er,[status(thm)],[26,theory(equality)])).
% cnf(88,plain,(apply(relation_rng_restriction(X1,X2),X3)=apply(X2,X3)|~in(X3,relation_dom(relation_rng_restriction(X1,X2)))|~function(X2)|~function(relation_rng_restriction(X1,X2))|~relation(X2)|~relation(relation_rng_restriction(X1,X2))),inference(er,[status(thm)],[27,theory(equality)])).
% cnf(101,plain,(in(X1,relation_dom(X2))|~in(X1,relation_dom(relation_rng_restriction(X3,X2)))|~function(relation_rng_restriction(X3,X2))|~function(X2)|~relation(X2)),inference(csr,[status(thm)],[84,65])).
% cnf(102,plain,(in(X1,relation_dom(X2))|~in(X1,relation_dom(relation_rng_restriction(X3,X2)))|~function(X2)|~relation(X2)),inference(csr,[status(thm)],[101,61])).
% cnf(103,plain,(in(esk4_1(relation_rng_restriction(X1,X2)),relation_dom(X2))|one_to_one(relation_rng_restriction(X1,X2))|~function(X2)|~relation(X2)|~function(relation_rng_restriction(X1,X2))|~relation(relation_rng_restriction(X1,X2))),inference(spm,[status(thm)],[102,35,theory(equality)])).
% cnf(104,plain,(in(esk3_1(relation_rng_restriction(X1,X2)),relation_dom(X2))|one_to_one(relation_rng_restriction(X1,X2))|~function(X2)|~relation(X2)|~function(relation_rng_restriction(X1,X2))|~relation(relation_rng_restriction(X1,X2))),inference(spm,[status(thm)],[102,36,theory(equality)])).
% cnf(121,plain,(apply(relation_rng_restriction(X1,X2),X3)=apply(X2,X3)|~in(X3,relation_dom(relation_rng_restriction(X1,X2)))|~function(relation_rng_restriction(X1,X2))|~function(X2)|~relation(X2)),inference(csr,[status(thm)],[88,65])).
% cnf(122,plain,(apply(relation_rng_restriction(X1,X2),X3)=apply(X2,X3)|~in(X3,relation_dom(relation_rng_restriction(X1,X2)))|~function(X2)|~relation(X2)),inference(csr,[status(thm)],[121,61])).
% cnf(123,plain,(apply(relation_rng_restriction(X1,X2),esk4_1(relation_rng_restriction(X1,X2)))=apply(X2,esk4_1(relation_rng_restriction(X1,X2)))|one_to_one(relation_rng_restriction(X1,X2))|~function(X2)|~relation(X2)|~function(relation_rng_restriction(X1,X2))|~relation(relation_rng_restriction(X1,X2))),inference(spm,[status(thm)],[122,35,theory(equality)])).
% cnf(124,plain,(apply(relation_rng_restriction(X1,X2),esk3_1(relation_rng_restriction(X1,X2)))=apply(X2,esk3_1(relation_rng_restriction(X1,X2)))|one_to_one(relation_rng_restriction(X1,X2))|~function(X2)|~relation(X2)|~function(relation_rng_restriction(X1,X2))|~relation(relation_rng_restriction(X1,X2))),inference(spm,[status(thm)],[122,36,theory(equality)])).
% cnf(140,plain,(one_to_one(relation_rng_restriction(X1,X2))|in(esk4_1(relation_rng_restriction(X1,X2)),relation_dom(X2))|~function(relation_rng_restriction(X1,X2))|~function(X2)|~relation(X2)),inference(csr,[status(thm)],[103,65])).
% cnf(141,plain,(one_to_one(relation_rng_restriction(X1,X2))|in(esk4_1(relation_rng_restriction(X1,X2)),relation_dom(X2))|~function(X2)|~relation(X2)),inference(csr,[status(thm)],[140,61])).
% cnf(147,plain,(one_to_one(relation_rng_restriction(X1,X2))|in(esk3_1(relation_rng_restriction(X1,X2)),relation_dom(X2))|~function(relation_rng_restriction(X1,X2))|~function(X2)|~relation(X2)),inference(csr,[status(thm)],[104,65])).
% cnf(148,plain,(one_to_one(relation_rng_restriction(X1,X2))|in(esk3_1(relation_rng_restriction(X1,X2)),relation_dom(X2))|~function(X2)|~relation(X2)),inference(csr,[status(thm)],[147,61])).
% cnf(203,plain,(apply(relation_rng_restriction(X1,X2),esk4_1(relation_rng_restriction(X1,X2)))=apply(X2,esk4_1(relation_rng_restriction(X1,X2)))|one_to_one(relation_rng_restriction(X1,X2))|~function(relation_rng_restriction(X1,X2))|~function(X2)|~relation(X2)),inference(csr,[status(thm)],[123,65])).
% cnf(204,plain,(apply(relation_rng_restriction(X1,X2),esk4_1(relation_rng_restriction(X1,X2)))=apply(X2,esk4_1(relation_rng_restriction(X1,X2)))|one_to_one(relation_rng_restriction(X1,X2))|~function(X2)|~relation(X2)),inference(csr,[status(thm)],[203,61])).
% cnf(207,plain,(apply(X2,esk4_1(relation_rng_restriction(X1,X2)))=apply(relation_rng_restriction(X1,X2),esk3_1(relation_rng_restriction(X1,X2)))|one_to_one(relation_rng_restriction(X1,X2))|~function(relation_rng_restriction(X1,X2))|~relation(relation_rng_restriction(X1,X2))|~function(X2)|~relation(X2)),inference(spm,[status(thm)],[34,204,theory(equality)])).
% cnf(209,plain,(apply(relation_rng_restriction(X1,X2),esk3_1(relation_rng_restriction(X1,X2)))=apply(X2,esk3_1(relation_rng_restriction(X1,X2)))|one_to_one(relation_rng_restriction(X1,X2))|~function(relation_rng_restriction(X1,X2))|~function(X2)|~relation(X2)),inference(csr,[status(thm)],[124,65])).
% cnf(210,plain,(apply(relation_rng_restriction(X1,X2),esk3_1(relation_rng_restriction(X1,X2)))=apply(X2,esk3_1(relation_rng_restriction(X1,X2)))|one_to_one(relation_rng_restriction(X1,X2))|~function(X2)|~relation(X2)),inference(csr,[status(thm)],[209,61])).
% cnf(215,plain,(apply(relation_rng_restriction(X1,X2),esk3_1(relation_rng_restriction(X1,X2)))=apply(X2,esk4_1(relation_rng_restriction(X1,X2)))|one_to_one(relation_rng_restriction(X1,X2))|~function(relation_rng_restriction(X1,X2))|~function(X2)|~relation(X2)),inference(csr,[status(thm)],[207,65])).
% cnf(216,plain,(apply(relation_rng_restriction(X1,X2),esk3_1(relation_rng_restriction(X1,X2)))=apply(X2,esk4_1(relation_rng_restriction(X1,X2)))|one_to_one(relation_rng_restriction(X1,X2))|~function(X2)|~relation(X2)),inference(csr,[status(thm)],[215,61])).
% cnf(221,plain,(apply(X2,esk4_1(relation_rng_restriction(X1,X2)))=apply(X2,esk3_1(relation_rng_restriction(X1,X2)))|one_to_one(relation_rng_restriction(X1,X2))|~function(X2)|~relation(X2)),inference(spm,[status(thm)],[210,216,theory(equality)])).
% cnf(222,plain,(esk4_1(relation_rng_restriction(X1,X2))=X3|one_to_one(relation_rng_restriction(X1,X2))|apply(X2,esk3_1(relation_rng_restriction(X1,X2)))!=apply(X2,X3)|~one_to_one(X2)|~in(X3,relation_dom(X2))|~in(esk4_1(relation_rng_restriction(X1,X2)),relation_dom(X2))|~function(X2)|~relation(X2)),inference(spm,[status(thm)],[37,221,theory(equality)])).
% cnf(272,plain,(esk4_1(relation_rng_restriction(X1,X2))=X3|one_to_one(relation_rng_restriction(X1,X2))|apply(X2,esk3_1(relation_rng_restriction(X1,X2)))!=apply(X2,X3)|~one_to_one(X2)|~in(X3,relation_dom(X2))|~function(X2)|~relation(X2)),inference(csr,[status(thm)],[222,141])).
% cnf(278,plain,(esk4_1(relation_rng_restriction(X1,X2))=esk3_1(relation_rng_restriction(X3,X2))|one_to_one(relation_rng_restriction(X1,X2))|one_to_one(relation_rng_restriction(X3,X2))|apply(X2,esk3_1(relation_rng_restriction(X1,X2)))!=apply(X2,esk3_1(relation_rng_restriction(X3,X2)))|~one_to_one(X2)|~function(X2)|~relation(X2)),inference(spm,[status(thm)],[272,148,theory(equality)])).
% cnf(4049,plain,(esk4_1(relation_rng_restriction(X1,X2))=esk3_1(relation_rng_restriction(X1,X2))|one_to_one(relation_rng_restriction(X1,X2))|~one_to_one(X2)|~function(X2)|~relation(X2)),inference(er,[status(thm)],[278,theory(equality)])).
% cnf(4060,plain,(one_to_one(relation_rng_restriction(X1,X2))|~function(relation_rng_restriction(X1,X2))|~relation(relation_rng_restriction(X1,X2))|~one_to_one(X2)|~function(X2)|~relation(X2)),inference(spm,[status(thm)],[33,4049,theory(equality)])).
% cnf(4230,plain,(one_to_one(relation_rng_restriction(X1,X2))|~one_to_one(X2)|~function(relation_rng_restriction(X1,X2))|~function(X2)|~relation(X2)),inference(csr,[status(thm)],[4060,65])).
% cnf(4231,plain,(one_to_one(relation_rng_restriction(X1,X2))|~one_to_one(X2)|~function(X2)|~relation(X2)),inference(csr,[status(thm)],[4230,61])).
% cnf(4232,negated_conjecture,(~one_to_one(esk7_0)|~function(esk7_0)|~relation(esk7_0)),inference(spm,[status(thm)],[69,4231,theory(equality)])).
% cnf(4234,negated_conjecture,($false|~function(esk7_0)|~relation(esk7_0)),inference(rw,[status(thm)],[4232,70,theory(equality)])).
% cnf(4235,negated_conjecture,($false|$false|~relation(esk7_0)),inference(rw,[status(thm)],[4234,71,theory(equality)])).
% cnf(4236,negated_conjecture,($false|$false|$false),inference(rw,[status(thm)],[4235,72,theory(equality)])).
% cnf(4237,negated_conjecture,($false),inference(cn,[status(thm)],[4236,theory(equality)])).
% cnf(4238,negated_conjecture,($false),4237,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1257
% # ...of these trivial : 3
% # ...subsumed : 883
% # ...remaining for further processing: 371
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 7
% # Backward-rewritten : 0
% # Generated clauses : 3034
% # ...of the previous two non-trivial : 3005
% # Contextual simplify-reflections : 1125
% # Paramodulations : 3018
% # Factorizations : 6
% # Equation resolutions : 10
% # Current number of processed clauses: 364
% # Positive orientable unit clauses: 7
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 1
% # Non-unit-clauses : 356
% # Current number of unprocessed clauses: 1468
% # ...number of literals in the above : 12246
% # Clause-clause subsumption calls (NU) : 65152
% # Rec. Clause-clause subsumption calls : 6996
% # Unit Clause-clause subsumption calls : 0
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 0
% # Indexed BW rewrite successes : 0
% # Backwards rewriting index: 152 leaves, 5.02+/-5.428 terms/leaf
% # Paramod-from index: 54 leaves, 3.72+/-3.885 terms/leaf
% # Paramod-into index: 129 leaves, 4.88+/-4.924 terms/leaf
% # -------------------------------------------------
% # User time : 0.387 s
% # System time : 0.010 s
% # Total time : 0.397 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.57 CPU 0.63 WC
% FINAL PrfWatch: 0.57 CPU 0.63 WC
% SZS output end Solution for /tmp/SystemOnTPTP18622/SEU048+1.tptp
%
%------------------------------------------------------------------------------