TSTP Solution File: SEU077+1 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SEU077+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 : art03.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 00:57:54 EST 2010

% Result   : Theorem 125.82s
% Output   : Solution 126.32s
% 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/SystemOnTPTP11655/SEU077+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% not found
% Adding ~C to TBU       ... ~t158_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:
% reflexivity_r1_tarski:
%  CSA axiom reflexivity_r1_tarski found
% Looking for CSA axiom ... fc6_relat_1:
%  CSA axiom fc6_relat_1 found
% Looking for CSA axiom ... fc8_relat_1:
%  CSA axiom fc8_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:
% 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:
% rc1_relat_1:
% rc2_relat_1:
%  CSA axiom rc2_relat_1 found
% Looking for CSA axiom ... rc3_funct_1:
%  CSA axiom rc3_funct_1 found
% Looking for CSA axiom ... d3_tarski:
%  CSA axiom d3_tarski found
% ---- Iteration 4 (9 axioms selected)
% Looking for TBU SAT   ... yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... rc1_funct_1:
% rc1_relat_1:
% cc2_funct_1:
%  CSA axiom cc2_funct_1 found
% Looking for CSA axiom ... antisymmetry_r2_hidden:
%  CSA axiom antisymmetry_r2_hidden found
% Looking for CSA axiom ... rc1_xboole_0:
% rc2_xboole_0:
% rc1_subset_1:
%  CSA axiom rc1_subset_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:
% rc1_relat_1:
% rc1_xboole_0:
% rc2_xboole_0:
% rc2_subset_1:
%  CSA axiom rc2_subset_1 found
% Looking for CSA axiom ... d13_funct_1:
%  CSA axiom d13_funct_1 found
% Looking for CSA axiom ... d5_funct_1:
%  CSA axiom d5_funct_1 found
% ---- Iteration 6 (15 axioms selected)
% Looking for TBU SAT   ... 
% no
% Looking for TBU UNS   ... 
% yes - theorem proved
% ---- Selection completed
% Selected axioms are   ... :d5_funct_1:d13_funct_1:rc2_subset_1:rc1_subset_1:antisymmetry_r2_hidden:cc2_funct_1:d3_tarski:rc3_funct_1:rc2_relat_1:cc1_relat_1:cc1_funct_1:rc2_funct_1:fc8_relat_1:fc6_relat_1:reflexivity_r1_tarski (15)
% Unselected axioms are ... :rc1_funct_1:rc1_relat_1:rc1_xboole_0:rc2_xboole_0:rc3_relat_1:t3_subset:t8_boole:fc1_subset_1:t7_boole:existence_m1_subset_1:fc1_xboole_0:fc4_relat_1:fc5_relat_1:fc7_relat_1:t1_subset:fc12_relat_1:t4_subset:t6_boole:t2_subset:t5_subset (20)
% SZS status THM for /tmp/SystemOnTPTP11655/SEU077+1.tptp
% Looking for THM       ... 
% found
% SZS output start Solution for /tmp/SystemOnTPTP11655/SEU077+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 16264
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time     : 0.013 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, 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(2, axiom,![X1]:((relation(X1)&function(X1))=>![X2]:![X3]:(X3=relation_inverse_image(X1,X2)<=>![X4]:(in(X4,X3)<=>(in(X4,relation_dom(X1))&in(apply(X1,X4),X2))))),file('/tmp/SRASS.s.p', d13_funct_1)).
% fof(7, axiom,![X1]:![X2]:(subset(X1,X2)<=>![X3]:(in(X3,X1)=>in(X3,X2))),file('/tmp/SRASS.s.p', d3_tarski)).
% fof(16, conjecture,![X1]:![X2]:![X3]:((relation(X3)&function(X3))=>((subset(relation_inverse_image(X3,X1),relation_inverse_image(X3,X2))&subset(X1,relation_rng(X3)))=>subset(X1,X2))),file('/tmp/SRASS.s.p', t158_funct_1)).
% fof(17, negated_conjecture,~(![X1]:![X2]:![X3]:((relation(X3)&function(X3))=>((subset(relation_inverse_image(X3,X1),relation_inverse_image(X3,X2))&subset(X1,relation_rng(X3)))=>subset(X1,X2)))),inference(assume_negation,[status(cth)],[16])).
% fof(22, 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)],[1])).
% fof(23, 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)],[22])).
% fof(24, plain,![X5]:((~(relation(X5))|~(function(X5)))|![X6]:((~(X6=relation_rng(X5))|![X7]:((~(in(X7,X6))|(in(esk1_3(X5,X6,X7),relation_dom(X5))&X7=apply(X5,esk1_3(X5,X6,X7))))&(![X9]:(~(in(X9,relation_dom(X5)))|~(X7=apply(X5,X9)))|in(X7,X6))))&(((~(in(esk2_2(X5,X6),X6))|![X11]:(~(in(X11,relation_dom(X5)))|~(esk2_2(X5,X6)=apply(X5,X11))))&(in(esk2_2(X5,X6),X6)|(in(esk3_2(X5,X6),relation_dom(X5))&esk2_2(X5,X6)=apply(X5,esk3_2(X5,X6)))))|X6=relation_rng(X5)))),inference(skolemize,[status(esa)],[23])).
% fof(25, plain,![X5]:![X6]:![X7]:![X9]:![X11]:((((((~(in(X11,relation_dom(X5)))|~(esk2_2(X5,X6)=apply(X5,X11)))|~(in(esk2_2(X5,X6),X6)))&(in(esk2_2(X5,X6),X6)|(in(esk3_2(X5,X6),relation_dom(X5))&esk2_2(X5,X6)=apply(X5,esk3_2(X5,X6)))))|X6=relation_rng(X5))&((((~(in(X9,relation_dom(X5)))|~(X7=apply(X5,X9)))|in(X7,X6))&(~(in(X7,X6))|(in(esk1_3(X5,X6,X7),relation_dom(X5))&X7=apply(X5,esk1_3(X5,X6,X7)))))|~(X6=relation_rng(X5))))|(~(relation(X5))|~(function(X5)))),inference(shift_quantors,[status(thm)],[24])).
% fof(26, plain,![X5]:![X6]:![X7]:![X9]:![X11]:((((((~(in(X11,relation_dom(X5)))|~(esk2_2(X5,X6)=apply(X5,X11)))|~(in(esk2_2(X5,X6),X6)))|X6=relation_rng(X5))|(~(relation(X5))|~(function(X5))))&((((in(esk3_2(X5,X6),relation_dom(X5))|in(esk2_2(X5,X6),X6))|X6=relation_rng(X5))|(~(relation(X5))|~(function(X5))))&(((esk2_2(X5,X6)=apply(X5,esk3_2(X5,X6))|in(esk2_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(esk1_3(X5,X6,X7),relation_dom(X5))|~(in(X7,X6)))|~(X6=relation_rng(X5)))|(~(relation(X5))|~(function(X5))))&(((X7=apply(X5,esk1_3(X5,X6,X7))|~(in(X7,X6)))|~(X6=relation_rng(X5)))|(~(relation(X5))|~(function(X5))))))),inference(distribute,[status(thm)],[25])).
% cnf(27,plain,(X3=apply(X1,esk1_3(X1,X2,X3))|~function(X1)|~relation(X1)|X2!=relation_rng(X1)|~in(X3,X2)),inference(split_conjunct,[status(thm)],[26])).
% cnf(28,plain,(in(esk1_3(X1,X2,X3),relation_dom(X1))|~function(X1)|~relation(X1)|X2!=relation_rng(X1)|~in(X3,X2)),inference(split_conjunct,[status(thm)],[26])).
% fof(33, plain,![X1]:((~(relation(X1))|~(function(X1)))|![X2]:![X3]:((~(X3=relation_inverse_image(X1,X2))|![X4]:((~(in(X4,X3))|(in(X4,relation_dom(X1))&in(apply(X1,X4),X2)))&((~(in(X4,relation_dom(X1)))|~(in(apply(X1,X4),X2)))|in(X4,X3))))&(?[X4]:((~(in(X4,X3))|(~(in(X4,relation_dom(X1)))|~(in(apply(X1,X4),X2))))&(in(X4,X3)|(in(X4,relation_dom(X1))&in(apply(X1,X4),X2))))|X3=relation_inverse_image(X1,X2)))),inference(fof_nnf,[status(thm)],[2])).
% fof(34, plain,![X5]:((~(relation(X5))|~(function(X5)))|![X6]:![X7]:((~(X7=relation_inverse_image(X5,X6))|![X8]:((~(in(X8,X7))|(in(X8,relation_dom(X5))&in(apply(X5,X8),X6)))&((~(in(X8,relation_dom(X5)))|~(in(apply(X5,X8),X6)))|in(X8,X7))))&(?[X9]:((~(in(X9,X7))|(~(in(X9,relation_dom(X5)))|~(in(apply(X5,X9),X6))))&(in(X9,X7)|(in(X9,relation_dom(X5))&in(apply(X5,X9),X6))))|X7=relation_inverse_image(X5,X6)))),inference(variable_rename,[status(thm)],[33])).
% fof(35, plain,![X5]:((~(relation(X5))|~(function(X5)))|![X6]:![X7]:((~(X7=relation_inverse_image(X5,X6))|![X8]:((~(in(X8,X7))|(in(X8,relation_dom(X5))&in(apply(X5,X8),X6)))&((~(in(X8,relation_dom(X5)))|~(in(apply(X5,X8),X6)))|in(X8,X7))))&(((~(in(esk4_3(X5,X6,X7),X7))|(~(in(esk4_3(X5,X6,X7),relation_dom(X5)))|~(in(apply(X5,esk4_3(X5,X6,X7)),X6))))&(in(esk4_3(X5,X6,X7),X7)|(in(esk4_3(X5,X6,X7),relation_dom(X5))&in(apply(X5,esk4_3(X5,X6,X7)),X6))))|X7=relation_inverse_image(X5,X6)))),inference(skolemize,[status(esa)],[34])).
% fof(36, plain,![X5]:![X6]:![X7]:![X8]:(((((~(in(X8,X7))|(in(X8,relation_dom(X5))&in(apply(X5,X8),X6)))&((~(in(X8,relation_dom(X5)))|~(in(apply(X5,X8),X6)))|in(X8,X7)))|~(X7=relation_inverse_image(X5,X6)))&(((~(in(esk4_3(X5,X6,X7),X7))|(~(in(esk4_3(X5,X6,X7),relation_dom(X5)))|~(in(apply(X5,esk4_3(X5,X6,X7)),X6))))&(in(esk4_3(X5,X6,X7),X7)|(in(esk4_3(X5,X6,X7),relation_dom(X5))&in(apply(X5,esk4_3(X5,X6,X7)),X6))))|X7=relation_inverse_image(X5,X6)))|(~(relation(X5))|~(function(X5)))),inference(shift_quantors,[status(thm)],[35])).
% fof(37, plain,![X5]:![X6]:![X7]:![X8]:((((((in(X8,relation_dom(X5))|~(in(X8,X7)))|~(X7=relation_inverse_image(X5,X6)))|(~(relation(X5))|~(function(X5))))&(((in(apply(X5,X8),X6)|~(in(X8,X7)))|~(X7=relation_inverse_image(X5,X6)))|(~(relation(X5))|~(function(X5)))))&((((~(in(X8,relation_dom(X5)))|~(in(apply(X5,X8),X6)))|in(X8,X7))|~(X7=relation_inverse_image(X5,X6)))|(~(relation(X5))|~(function(X5)))))&((((~(in(esk4_3(X5,X6,X7),X7))|(~(in(esk4_3(X5,X6,X7),relation_dom(X5)))|~(in(apply(X5,esk4_3(X5,X6,X7)),X6))))|X7=relation_inverse_image(X5,X6))|(~(relation(X5))|~(function(X5))))&((((in(esk4_3(X5,X6,X7),relation_dom(X5))|in(esk4_3(X5,X6,X7),X7))|X7=relation_inverse_image(X5,X6))|(~(relation(X5))|~(function(X5))))&(((in(apply(X5,esk4_3(X5,X6,X7)),X6)|in(esk4_3(X5,X6,X7),X7))|X7=relation_inverse_image(X5,X6))|(~(relation(X5))|~(function(X5))))))),inference(distribute,[status(thm)],[36])).
% cnf(41,plain,(in(X4,X2)|~function(X1)|~relation(X1)|X2!=relation_inverse_image(X1,X3)|~in(apply(X1,X4),X3)|~in(X4,relation_dom(X1))),inference(split_conjunct,[status(thm)],[37])).
% cnf(42,plain,(in(apply(X1,X4),X3)|~function(X1)|~relation(X1)|X2!=relation_inverse_image(X1,X3)|~in(X4,X2)),inference(split_conjunct,[status(thm)],[37])).
% fof(63, plain,![X1]:![X2]:((~(subset(X1,X2))|![X3]:(~(in(X3,X1))|in(X3,X2)))&(?[X3]:(in(X3,X1)&~(in(X3,X2)))|subset(X1,X2))),inference(fof_nnf,[status(thm)],[7])).
% fof(64, plain,![X4]:![X5]:((~(subset(X4,X5))|![X6]:(~(in(X6,X4))|in(X6,X5)))&(?[X7]:(in(X7,X4)&~(in(X7,X5)))|subset(X4,X5))),inference(variable_rename,[status(thm)],[63])).
% fof(65, plain,![X4]:![X5]:((~(subset(X4,X5))|![X6]:(~(in(X6,X4))|in(X6,X5)))&((in(esk7_2(X4,X5),X4)&~(in(esk7_2(X4,X5),X5)))|subset(X4,X5))),inference(skolemize,[status(esa)],[64])).
% fof(66, plain,![X4]:![X5]:![X6]:(((~(in(X6,X4))|in(X6,X5))|~(subset(X4,X5)))&((in(esk7_2(X4,X5),X4)&~(in(esk7_2(X4,X5),X5)))|subset(X4,X5))),inference(shift_quantors,[status(thm)],[65])).
% fof(67, plain,![X4]:![X5]:![X6]:(((~(in(X6,X4))|in(X6,X5))|~(subset(X4,X5)))&((in(esk7_2(X4,X5),X4)|subset(X4,X5))&(~(in(esk7_2(X4,X5),X5))|subset(X4,X5)))),inference(distribute,[status(thm)],[66])).
% cnf(68,plain,(subset(X1,X2)|~in(esk7_2(X1,X2),X2)),inference(split_conjunct,[status(thm)],[67])).
% cnf(69,plain,(subset(X1,X2)|in(esk7_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[67])).
% cnf(70,plain,(in(X3,X2)|~subset(X1,X2)|~in(X3,X1)),inference(split_conjunct,[status(thm)],[67])).
% fof(101, negated_conjecture,?[X1]:?[X2]:?[X3]:((relation(X3)&function(X3))&((subset(relation_inverse_image(X3,X1),relation_inverse_image(X3,X2))&subset(X1,relation_rng(X3)))&~(subset(X1,X2)))),inference(fof_nnf,[status(thm)],[17])).
% fof(102, negated_conjecture,?[X4]:?[X5]:?[X6]:((relation(X6)&function(X6))&((subset(relation_inverse_image(X6,X4),relation_inverse_image(X6,X5))&subset(X4,relation_rng(X6)))&~(subset(X4,X5)))),inference(variable_rename,[status(thm)],[101])).
% fof(103, negated_conjecture,((relation(esk13_0)&function(esk13_0))&((subset(relation_inverse_image(esk13_0,esk11_0),relation_inverse_image(esk13_0,esk12_0))&subset(esk11_0,relation_rng(esk13_0)))&~(subset(esk11_0,esk12_0)))),inference(skolemize,[status(esa)],[102])).
% cnf(104,negated_conjecture,(~subset(esk11_0,esk12_0)),inference(split_conjunct,[status(thm)],[103])).
% cnf(105,negated_conjecture,(subset(esk11_0,relation_rng(esk13_0))),inference(split_conjunct,[status(thm)],[103])).
% cnf(106,negated_conjecture,(subset(relation_inverse_image(esk13_0,esk11_0),relation_inverse_image(esk13_0,esk12_0))),inference(split_conjunct,[status(thm)],[103])).
% cnf(107,negated_conjecture,(function(esk13_0)),inference(split_conjunct,[status(thm)],[103])).
% cnf(108,negated_conjecture,(relation(esk13_0)),inference(split_conjunct,[status(thm)],[103])).
% cnf(123,negated_conjecture,(in(X1,relation_rng(esk13_0))|~in(X1,esk11_0)),inference(spm,[status(thm)],[70,105,theory(equality)])).
% cnf(124,negated_conjecture,(in(X1,relation_inverse_image(esk13_0,esk12_0))|~in(X1,relation_inverse_image(esk13_0,esk11_0))),inference(spm,[status(thm)],[70,106,theory(equality)])).
% cnf(127,plain,(in(apply(X1,X2),X3)|~in(X2,relation_inverse_image(X1,X3))|~function(X1)|~relation(X1)),inference(er,[status(thm)],[42,theory(equality)])).
% cnf(149,plain,(in(esk1_3(X1,X2,X3),X4)|relation_inverse_image(X1,X5)!=X4|~in(X3,X5)|~in(esk1_3(X1,X2,X3),relation_dom(X1))|~function(X1)|~relation(X1)|relation_rng(X1)!=X2|~in(X3,X2)),inference(spm,[status(thm)],[41,27,theory(equality)])).
% cnf(220,plain,(in(X3,X4)|~in(esk1_3(X1,X2,X3),relation_inverse_image(X1,X4))|~function(X1)|~relation(X1)|relation_rng(X1)!=X2|~in(X3,X2)),inference(spm,[status(thm)],[127,27,theory(equality)])).
% cnf(373,plain,(in(esk1_3(X1,X2,X3),X4)|relation_inverse_image(X1,X5)!=X4|relation_rng(X1)!=X2|~in(X3,X2)|~in(X3,X5)|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[149,28])).
% cnf(374,plain,(in(esk1_3(X1,X2,X3),relation_inverse_image(X1,X4))|relation_rng(X1)!=X2|~in(X3,X4)|~in(X3,X2)|~function(X1)|~relation(X1)),inference(er,[status(thm)],[373,theory(equality)])).
% cnf(859,negated_conjecture,(in(X1,esk12_0)|relation_rng(esk13_0)!=X2|~in(X1,X2)|~function(esk13_0)|~relation(esk13_0)|~in(esk1_3(esk13_0,X2,X1),relation_inverse_image(esk13_0,esk11_0))),inference(spm,[status(thm)],[220,124,theory(equality)])).
% cnf(860,negated_conjecture,(in(X1,esk12_0)|relation_rng(esk13_0)!=X2|~in(X1,X2)|$false|~relation(esk13_0)|~in(esk1_3(esk13_0,X2,X1),relation_inverse_image(esk13_0,esk11_0))),inference(rw,[status(thm)],[859,107,theory(equality)])).
% cnf(861,negated_conjecture,(in(X1,esk12_0)|relation_rng(esk13_0)!=X2|~in(X1,X2)|$false|$false|~in(esk1_3(esk13_0,X2,X1),relation_inverse_image(esk13_0,esk11_0))),inference(rw,[status(thm)],[860,108,theory(equality)])).
% cnf(862,negated_conjecture,(in(X1,esk12_0)|relation_rng(esk13_0)!=X2|~in(X1,X2)|~in(esk1_3(esk13_0,X2,X1),relation_inverse_image(esk13_0,esk11_0))),inference(cn,[status(thm)],[861,theory(equality)])).
% cnf(900,negated_conjecture,(in(X1,esk12_0)|relation_rng(esk13_0)!=X2|~in(X1,X2)|~in(X1,esk11_0)|~function(esk13_0)|~relation(esk13_0)),inference(spm,[status(thm)],[862,374,theory(equality)])).
% cnf(910,negated_conjecture,(in(X1,esk12_0)|relation_rng(esk13_0)!=X2|~in(X1,X2)|~in(X1,esk11_0)|$false|~relation(esk13_0)),inference(rw,[status(thm)],[900,107,theory(equality)])).
% cnf(911,negated_conjecture,(in(X1,esk12_0)|relation_rng(esk13_0)!=X2|~in(X1,X2)|~in(X1,esk11_0)|$false|$false),inference(rw,[status(thm)],[910,108,theory(equality)])).
% cnf(912,negated_conjecture,(in(X1,esk12_0)|relation_rng(esk13_0)!=X2|~in(X1,X2)|~in(X1,esk11_0)),inference(cn,[status(thm)],[911,theory(equality)])).
% cnf(913,negated_conjecture,(in(X1,esk12_0)|~in(X1,esk11_0)|~in(X1,relation_rng(esk13_0))),inference(er,[status(thm)],[912,theory(equality)])).
% cnf(914,negated_conjecture,(in(X1,esk12_0)|~in(X1,esk11_0)),inference(csr,[status(thm)],[913,123])).
% cnf(915,negated_conjecture,(subset(X1,esk12_0)|~in(esk7_2(X1,esk12_0),esk11_0)),inference(spm,[status(thm)],[68,914,theory(equality)])).
% cnf(929,negated_conjecture,(subset(esk11_0,esk12_0)),inference(spm,[status(thm)],[915,69,theory(equality)])).
% cnf(930,negated_conjecture,($false),inference(sr,[status(thm)],[929,104,theory(equality)])).
% cnf(931,negated_conjecture,($false),930,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 212
% # ...of these trivial                : 1
% # ...subsumed                        : 16
% # ...remaining for further processing: 195
% # Other redundant clauses eliminated : 1
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 1
% # Backward-rewritten                 : 0
% # Generated clauses                  : 586
% # ...of the previous two non-trivial : 572
% # Contextual simplify-reflections    : 6
% # Paramodulations                    : 569
% # Factorizations                     : 8
% # Equation resolutions               : 9
% # Current number of processed clauses: 154
% #    Positive orientable unit clauses: 17
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 5
% #    Non-unit-clauses                : 132
% # Current number of unprocessed clauses: 440
% # ...number of literals in the above : 2372
% # Clause-clause subsumption calls (NU) : 484
% # Rec. Clause-clause subsumption calls : 319
% # Unit Clause-clause subsumption calls : 11
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 2
% # Indexed BW rewrite successes       : 0
% # Backwards rewriting index:   225 leaves,   1.33+/-1.028 terms/leaf
% # Paramod-from index:           64 leaves,   1.08+/-0.321 terms/leaf
% # Paramod-into index:          188 leaves,   1.20+/-0.635 terms/leaf
% # -------------------------------------------------
% # User time              : 0.052 s
% # System time            : 0.005 s
% # Total time             : 0.057 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/SystemOnTPTP11655/SEU077+1.tptp
% 
%------------------------------------------------------------------------------