%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SEU181+2 : TPTP v5.0.0. Released v3.3.0.
% 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 01:31:44 EST 2010

% Result   : Theorem 89.77s
% Output   : Solution 90.28s
% 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/SystemOnTPTP27273/SEU181+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% not found
% Adding ~C to TBU       ... ~t37_relat_1:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... dt_k4_relat_1:
%  CSA axiom dt_k4_relat_1 found
% Looking for CSA axiom ... involutiveness_k4_relat_1:
%  CSA axiom involutiveness_k4_relat_1 found
% Looking for CSA axiom ... t25_relat_1:
%  CSA axiom t25_relat_1 found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... d6_relat_1:
%  CSA axiom d6_relat_1 found
% Looking for CSA axiom ... t20_relat_1:
%  CSA axiom t20_relat_1 found
% Looking for CSA axiom ... t21_relat_1: CSA axiom t21_relat_1 found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... d4_relat_1:
%  CSA axiom d4_relat_1 found
% Looking for CSA axiom ... d5_relat_1:
%  CSA axiom d5_relat_1 found
% Looking for CSA axiom ... d7_relat_1:
%  CSA axiom d7_relat_1 found
% ---- Iteration 4 (9 axioms selected)
% Looking for TBU SAT   ... 
% no
% Looking for TBU UNS   ... 
% yes - theorem proved
% ---- Selection completed
% Selected axioms are   ... :d7_relat_1:d5_relat_1:d4_relat_1:t21_relat_1:t20_relat_1:d6_relat_1:t25_relat_1:involutiveness_k4_relat_1:dt_k4_relat_1 (9)
% Unselected axioms are ... :fc2_relat_1:rc1_relat_1:antisymmetry_r2_hidden:commutativity_k2_xboole_0:idempotence_k2_xboole_0:rc1_xboole_0:rc2_xboole_0:reflexivity_r1_tarski:t118_zfmisc_1:t119_zfmisc_1:t1_xboole_1:d1_relat_1:t2_tarski:d10_xboole_0:t8_boole:commutativity_k2_tarski:commutativity_k3_xboole_0:idempotence_k3_xboole_0:t10_zfmisc_1:d4_subset_1:t30_relat_1:d2_zfmisc_1:d2_xboole_0:existence_m1_subset_1:t12_xboole_1:l55_zfmisc_1:t106_zfmisc_1:t1_boole:t33_zfmisc_1:t39_xboole_1:t40_xboole_1:d1_xboole_0:d1_tarski:d2_tarski:d3_xboole_0:d4_xboole_0:d4_tarski:t7_boole:t7_xboole_1:t8_xboole_1:d3_tarski:fc1_subset_1:fc1_zfmisc_1:fc4_subset_1:antisymmetry_r2_xboole_0:fc1_xboole_0:fc2_subset_1:fc2_xboole_0:fc3_xboole_0:irreflexivity_r2_xboole_0:symmetry_r1_xboole_0:fc3_subset_1:l23_zfmisc_1:t45_xboole_1:t46_zfmisc_1:d1_setfam_1:d7_xboole_0:l2_zfmisc_1:l50_zfmisc_1:rc1_subset_1:rc2_subset_1:t136_zfmisc_1:t1_subset:t2_xboole_1:t33_xboole_1:t36_xboole_1:t37_zfmisc_1:t38_zfmisc_1:t65_zfmisc_1:t92_zfmisc_1:d1_zfmisc_1:d2_subset_1:d5_tarski:l3_subset_1:l71_subset_1:t17_xboole_1:t19_xboole_1:t26_xboole_1:t2_subset:t3_subset:t3_xboole_1:t4_subset:t60_xboole_1:t63_xboole_1:t99_zfmisc_1:l1_zfmisc_1:l25_zfmisc_1:l28_zfmisc_1:l32_xboole_1:l4_zfmisc_1:t37_xboole_1:t39_zfmisc_1:t3_boole:t3_xboole_0:t4_boole:t4_xboole_0:t6_boole:t2_boole:t48_xboole_1:t69_enumset1:t6_zfmisc_1:t83_xboole_1:t8_zfmisc_1:t9_tarski:t9_zfmisc_1:d8_xboole_0:dt_k2_subset_1:t1_zfmisc_1:t28_xboole_1:t5_subset:d5_subset_1:dt_k3_subset_1:dt_k5_setfam_1:dt_k6_setfam_1:dt_k6_subset_1:dt_k7_setfam_1:l3_zfmisc_1:t50_subset_1:t54_subset_1:d8_setfam_1:involutiveness_k3_subset_1:involutiveness_k7_setfam_1:redefinition_k5_setfam_1:redefinition_k6_setfam_1:redefinition_k6_subset_1:t43_subset_1:t46_setfam_1:t47_setfam_1:t48_setfam_1:dt_k1_relat_1:dt_k1_setfam_1:dt_k1_tarski:dt_k1_xboole_0:dt_k1_zfmisc_1:dt_k2_relat_1:dt_k2_tarski:dt_k2_xboole_0:dt_k2_zfmisc_1:dt_k3_relat_1:dt_k3_tarski:dt_k3_xboole_0:dt_k4_tarski:dt_k4_xboole_0:dt_m1_subset_1 (144)
% SZS status THM for /tmp/SystemOnTPTP27273/SEU181+2.tptp
% Looking for THM       ... 
% found
% SZS output start Solution for /tmp/SystemOnTPTP27273/SEU181+2.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 29016
% 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]:(relation(X1)=>![X2]:(relation(X2)=>(X2=relation_inverse(X1)<=>![X3]:![X4]:(in(ordered_pair(X3,X4),X2)<=>in(ordered_pair(X4,X3),X1))))),file('/tmp/SRASS.s.p', d7_relat_1)).
% fof(2, axiom,![X1]:(relation(X1)=>![X2]:(X2=relation_rng(X1)<=>![X3]:(in(X3,X2)<=>?[X4]:in(ordered_pair(X4,X3),X1)))),file('/tmp/SRASS.s.p', d5_relat_1)).
% fof(3, axiom,![X1]:(relation(X1)=>![X2]:(X2=relation_dom(X1)<=>![X3]:(in(X3,X2)<=>?[X4]:in(ordered_pair(X3,X4),X1)))),file('/tmp/SRASS.s.p', d4_relat_1)).
% fof(5, axiom,![X1]:![X2]:![X3]:(relation(X3)=>(in(ordered_pair(X1,X2),X3)=>(in(X1,relation_dom(X3))&in(X2,relation_rng(X3))))),file('/tmp/SRASS.s.p', t20_relat_1)).
% fof(8, axiom,![X1]:(relation(X1)=>relation_inverse(relation_inverse(X1))=X1),file('/tmp/SRASS.s.p', involutiveness_k4_relat_1)).
% fof(9, axiom,![X1]:(relation(X1)=>relation(relation_inverse(X1))),file('/tmp/SRASS.s.p', dt_k4_relat_1)).
% fof(10, conjecture,![X1]:(relation(X1)=>(relation_rng(X1)=relation_dom(relation_inverse(X1))&relation_dom(X1)=relation_rng(relation_inverse(X1)))),file('/tmp/SRASS.s.p', t37_relat_1)).
% fof(11, negated_conjecture,~(![X1]:(relation(X1)=>(relation_rng(X1)=relation_dom(relation_inverse(X1))&relation_dom(X1)=relation_rng(relation_inverse(X1))))),inference(assume_negation,[status(cth)],[10])).
% fof(12, plain,![X1]:(~(relation(X1))|![X2]:(~(relation(X2))|((~(X2=relation_inverse(X1))|![X3]:![X4]:((~(in(ordered_pair(X3,X4),X2))|in(ordered_pair(X4,X3),X1))&(~(in(ordered_pair(X4,X3),X1))|in(ordered_pair(X3,X4),X2))))&(?[X3]:?[X4]:((~(in(ordered_pair(X3,X4),X2))|~(in(ordered_pair(X4,X3),X1)))&(in(ordered_pair(X3,X4),X2)|in(ordered_pair(X4,X3),X1)))|X2=relation_inverse(X1))))),inference(fof_nnf,[status(thm)],[1])).
% fof(13, plain,![X5]:(~(relation(X5))|![X6]:(~(relation(X6))|((~(X6=relation_inverse(X5))|![X7]:![X8]:((~(in(ordered_pair(X7,X8),X6))|in(ordered_pair(X8,X7),X5))&(~(in(ordered_pair(X8,X7),X5))|in(ordered_pair(X7,X8),X6))))&(?[X9]:?[X10]:((~(in(ordered_pair(X9,X10),X6))|~(in(ordered_pair(X10,X9),X5)))&(in(ordered_pair(X9,X10),X6)|in(ordered_pair(X10,X9),X5)))|X6=relation_inverse(X5))))),inference(variable_rename,[status(thm)],[12])).
% fof(14, plain,![X5]:(~(relation(X5))|![X6]:(~(relation(X6))|((~(X6=relation_inverse(X5))|![X7]:![X8]:((~(in(ordered_pair(X7,X8),X6))|in(ordered_pair(X8,X7),X5))&(~(in(ordered_pair(X8,X7),X5))|in(ordered_pair(X7,X8),X6))))&(((~(in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X6))|~(in(ordered_pair(esk2_2(X5,X6),esk1_2(X5,X6)),X5)))&(in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X6)|in(ordered_pair(esk2_2(X5,X6),esk1_2(X5,X6)),X5)))|X6=relation_inverse(X5))))),inference(skolemize,[status(esa)],[13])).
% fof(15, plain,![X5]:![X6]:![X7]:![X8]:((((((~(in(ordered_pair(X7,X8),X6))|in(ordered_pair(X8,X7),X5))&(~(in(ordered_pair(X8,X7),X5))|in(ordered_pair(X7,X8),X6)))|~(X6=relation_inverse(X5)))&(((~(in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X6))|~(in(ordered_pair(esk2_2(X5,X6),esk1_2(X5,X6)),X5)))&(in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X6)|in(ordered_pair(esk2_2(X5,X6),esk1_2(X5,X6)),X5)))|X6=relation_inverse(X5)))|~(relation(X6)))|~(relation(X5))),inference(shift_quantors,[status(thm)],[14])).
% fof(16, plain,![X5]:![X6]:![X7]:![X8]:((((((~(in(ordered_pair(X7,X8),X6))|in(ordered_pair(X8,X7),X5))|~(X6=relation_inverse(X5)))|~(relation(X6)))|~(relation(X5)))&((((~(in(ordered_pair(X8,X7),X5))|in(ordered_pair(X7,X8),X6))|~(X6=relation_inverse(X5)))|~(relation(X6)))|~(relation(X5))))&(((((~(in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X6))|~(in(ordered_pair(esk2_2(X5,X6),esk1_2(X5,X6)),X5)))|X6=relation_inverse(X5))|~(relation(X6)))|~(relation(X5)))&((((in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X6)|in(ordered_pair(esk2_2(X5,X6),esk1_2(X5,X6)),X5))|X6=relation_inverse(X5))|~(relation(X6)))|~(relation(X5))))),inference(distribute,[status(thm)],[15])).
% cnf(19,plain,(in(ordered_pair(X3,X4),X2)|~relation(X1)|~relation(X2)|X2!=relation_inverse(X1)|~in(ordered_pair(X4,X3),X1)),inference(split_conjunct,[status(thm)],[16])).
% fof(21, plain,![X1]:(~(relation(X1))|![X2]:((~(X2=relation_rng(X1))|![X3]:((~(in(X3,X2))|?[X4]:in(ordered_pair(X4,X3),X1))&(![X4]:~(in(ordered_pair(X4,X3),X1))|in(X3,X2))))&(?[X3]:((~(in(X3,X2))|![X4]:~(in(ordered_pair(X4,X3),X1)))&(in(X3,X2)|?[X4]:in(ordered_pair(X4,X3),X1)))|X2=relation_rng(X1)))),inference(fof_nnf,[status(thm)],[2])).
% fof(22, plain,![X5]:(~(relation(X5))|![X6]:((~(X6=relation_rng(X5))|![X7]:((~(in(X7,X6))|?[X8]:in(ordered_pair(X8,X7),X5))&(![X9]:~(in(ordered_pair(X9,X7),X5))|in(X7,X6))))&(?[X10]:((~(in(X10,X6))|![X11]:~(in(ordered_pair(X11,X10),X5)))&(in(X10,X6)|?[X12]:in(ordered_pair(X12,X10),X5)))|X6=relation_rng(X5)))),inference(variable_rename,[status(thm)],[21])).
% fof(23, plain,![X5]:(~(relation(X5))|![X6]:((~(X6=relation_rng(X5))|![X7]:((~(in(X7,X6))|in(ordered_pair(esk3_3(X5,X6,X7),X7),X5))&(![X9]:~(in(ordered_pair(X9,X7),X5))|in(X7,X6))))&(((~(in(esk4_2(X5,X6),X6))|![X11]:~(in(ordered_pair(X11,esk4_2(X5,X6)),X5)))&(in(esk4_2(X5,X6),X6)|in(ordered_pair(esk5_2(X5,X6),esk4_2(X5,X6)),X5)))|X6=relation_rng(X5)))),inference(skolemize,[status(esa)],[22])).
% fof(24, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(X11,esk4_2(X5,X6)),X5))|~(in(esk4_2(X5,X6),X6)))&(in(esk4_2(X5,X6),X6)|in(ordered_pair(esk5_2(X5,X6),esk4_2(X5,X6)),X5)))|X6=relation_rng(X5))&(((~(in(ordered_pair(X9,X7),X5))|in(X7,X6))&(~(in(X7,X6))|in(ordered_pair(esk3_3(X5,X6,X7),X7),X5)))|~(X6=relation_rng(X5))))|~(relation(X5))),inference(shift_quantors,[status(thm)],[23])).
% fof(25, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(X11,esk4_2(X5,X6)),X5))|~(in(esk4_2(X5,X6),X6)))|X6=relation_rng(X5))|~(relation(X5)))&(((in(esk4_2(X5,X6),X6)|in(ordered_pair(esk5_2(X5,X6),esk4_2(X5,X6)),X5))|X6=relation_rng(X5))|~(relation(X5))))&((((~(in(ordered_pair(X9,X7),X5))|in(X7,X6))|~(X6=relation_rng(X5)))|~(relation(X5)))&(((~(in(X7,X6))|in(ordered_pair(esk3_3(X5,X6,X7),X7),X5))|~(X6=relation_rng(X5)))|~(relation(X5))))),inference(distribute,[status(thm)],[24])).
% cnf(26,plain,(in(ordered_pair(esk3_3(X1,X2,X3),X3),X1)|~relation(X1)|X2!=relation_rng(X1)|~in(X3,X2)),inference(split_conjunct,[status(thm)],[25])).
% cnf(28,plain,(X2=relation_rng(X1)|in(ordered_pair(esk5_2(X1,X2),esk4_2(X1,X2)),X1)|in(esk4_2(X1,X2),X2)|~relation(X1)),inference(split_conjunct,[status(thm)],[25])).
% cnf(29,plain,(X2=relation_rng(X1)|~relation(X1)|~in(esk4_2(X1,X2),X2)|~in(ordered_pair(X3,esk4_2(X1,X2)),X1)),inference(split_conjunct,[status(thm)],[25])).
% fof(30, plain,![X1]:(~(relation(X1))|![X2]:((~(X2=relation_dom(X1))|![X3]:((~(in(X3,X2))|?[X4]:in(ordered_pair(X3,X4),X1))&(![X4]:~(in(ordered_pair(X3,X4),X1))|in(X3,X2))))&(?[X3]:((~(in(X3,X2))|![X4]:~(in(ordered_pair(X3,X4),X1)))&(in(X3,X2)|?[X4]:in(ordered_pair(X3,X4),X1)))|X2=relation_dom(X1)))),inference(fof_nnf,[status(thm)],[3])).
% fof(31, plain,![X5]:(~(relation(X5))|![X6]:((~(X6=relation_dom(X5))|![X7]:((~(in(X7,X6))|?[X8]:in(ordered_pair(X7,X8),X5))&(![X9]:~(in(ordered_pair(X7,X9),X5))|in(X7,X6))))&(?[X10]:((~(in(X10,X6))|![X11]:~(in(ordered_pair(X10,X11),X5)))&(in(X10,X6)|?[X12]:in(ordered_pair(X10,X12),X5)))|X6=relation_dom(X5)))),inference(variable_rename,[status(thm)],[30])).
% fof(32, plain,![X5]:(~(relation(X5))|![X6]:((~(X6=relation_dom(X5))|![X7]:((~(in(X7,X6))|in(ordered_pair(X7,esk6_3(X5,X6,X7)),X5))&(![X9]:~(in(ordered_pair(X7,X9),X5))|in(X7,X6))))&(((~(in(esk7_2(X5,X6),X6))|![X11]:~(in(ordered_pair(esk7_2(X5,X6),X11),X5)))&(in(esk7_2(X5,X6),X6)|in(ordered_pair(esk7_2(X5,X6),esk8_2(X5,X6)),X5)))|X6=relation_dom(X5)))),inference(skolemize,[status(esa)],[31])).
% fof(33, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(esk7_2(X5,X6),X11),X5))|~(in(esk7_2(X5,X6),X6)))&(in(esk7_2(X5,X6),X6)|in(ordered_pair(esk7_2(X5,X6),esk8_2(X5,X6)),X5)))|X6=relation_dom(X5))&(((~(in(ordered_pair(X7,X9),X5))|in(X7,X6))&(~(in(X7,X6))|in(ordered_pair(X7,esk6_3(X5,X6,X7)),X5)))|~(X6=relation_dom(X5))))|~(relation(X5))),inference(shift_quantors,[status(thm)],[32])).
% fof(34, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(esk7_2(X5,X6),X11),X5))|~(in(esk7_2(X5,X6),X6)))|X6=relation_dom(X5))|~(relation(X5)))&(((in(esk7_2(X5,X6),X6)|in(ordered_pair(esk7_2(X5,X6),esk8_2(X5,X6)),X5))|X6=relation_dom(X5))|~(relation(X5))))&((((~(in(ordered_pair(X7,X9),X5))|in(X7,X6))|~(X6=relation_dom(X5)))|~(relation(X5)))&(((~(in(X7,X6))|in(ordered_pair(X7,esk6_3(X5,X6,X7)),X5))|~(X6=relation_dom(X5)))|~(relation(X5))))),inference(distribute,[status(thm)],[33])).
% cnf(35,plain,(in(ordered_pair(X3,esk6_3(X1,X2,X3)),X1)|~relation(X1)|X2!=relation_dom(X1)|~in(X3,X2)),inference(split_conjunct,[status(thm)],[34])).
% cnf(37,plain,(X2=relation_dom(X1)|in(ordered_pair(esk7_2(X1,X2),esk8_2(X1,X2)),X1)|in(esk7_2(X1,X2),X2)|~relation(X1)),inference(split_conjunct,[status(thm)],[34])).
% cnf(38,plain,(X2=relation_dom(X1)|~relation(X1)|~in(esk7_2(X1,X2),X2)|~in(ordered_pair(esk7_2(X1,X2),X3),X1)),inference(split_conjunct,[status(thm)],[34])).
% fof(42, plain,![X1]:![X2]:![X3]:(~(relation(X3))|(~(in(ordered_pair(X1,X2),X3))|(in(X1,relation_dom(X3))&in(X2,relation_rng(X3))))),inference(fof_nnf,[status(thm)],[5])).
% fof(43, plain,![X4]:![X5]:![X6]:(~(relation(X6))|(~(in(ordered_pair(X4,X5),X6))|(in(X4,relation_dom(X6))&in(X5,relation_rng(X6))))),inference(variable_rename,[status(thm)],[42])).
% fof(44, plain,![X4]:![X5]:![X6]:(((in(X4,relation_dom(X6))|~(in(ordered_pair(X4,X5),X6)))|~(relation(X6)))&((in(X5,relation_rng(X6))|~(in(ordered_pair(X4,X5),X6)))|~(relation(X6)))),inference(distribute,[status(thm)],[43])).
% cnf(45,plain,(in(X3,relation_rng(X1))|~relation(X1)|~in(ordered_pair(X2,X3),X1)),inference(split_conjunct,[status(thm)],[44])).
% cnf(46,plain,(in(X2,relation_dom(X1))|~relation(X1)|~in(ordered_pair(X2,X3),X1)),inference(split_conjunct,[status(thm)],[44])).
% fof(56, plain,![X1]:(~(relation(X1))|relation_inverse(relation_inverse(X1))=X1),inference(fof_nnf,[status(thm)],[8])).
% fof(57, plain,![X2]:(~(relation(X2))|relation_inverse(relation_inverse(X2))=X2),inference(variable_rename,[status(thm)],[56])).
% cnf(58,plain,(relation_inverse(relation_inverse(X1))=X1|~relation(X1)),inference(split_conjunct,[status(thm)],[57])).
% fof(59, plain,![X1]:(~(relation(X1))|relation(relation_inverse(X1))),inference(fof_nnf,[status(thm)],[9])).
% fof(60, plain,![X2]:(~(relation(X2))|relation(relation_inverse(X2))),inference(variable_rename,[status(thm)],[59])).
% cnf(61,plain,(relation(relation_inverse(X1))|~relation(X1)),inference(split_conjunct,[status(thm)],[60])).
% fof(62, negated_conjecture,?[X1]:(relation(X1)&(~(relation_rng(X1)=relation_dom(relation_inverse(X1)))|~(relation_dom(X1)=relation_rng(relation_inverse(X1))))),inference(fof_nnf,[status(thm)],[11])).
% fof(63, negated_conjecture,?[X2]:(relation(X2)&(~(relation_rng(X2)=relation_dom(relation_inverse(X2)))|~(relation_dom(X2)=relation_rng(relation_inverse(X2))))),inference(variable_rename,[status(thm)],[62])).
% fof(64, negated_conjecture,(relation(esk9_0)&(~(relation_rng(esk9_0)=relation_dom(relation_inverse(esk9_0)))|~(relation_dom(esk9_0)=relation_rng(relation_inverse(esk9_0))))),inference(skolemize,[status(esa)],[63])).
% cnf(65,negated_conjecture,(relation_dom(esk9_0)!=relation_rng(relation_inverse(esk9_0))|relation_rng(esk9_0)!=relation_dom(relation_inverse(esk9_0))),inference(split_conjunct,[status(thm)],[64])).
% cnf(66,negated_conjecture,(relation(esk9_0)),inference(split_conjunct,[status(thm)],[64])).
% cnf(68,plain,(in(ordered_pair(X1,esk6_3(X2,relation_dom(X2),X1)),X2)|~in(X1,relation_dom(X2))|~relation(X2)),inference(er,[status(thm)],[35,theory(equality)])).
% cnf(69,plain,(in(ordered_pair(esk3_3(X1,relation_rng(X1),X2),X2),X1)|~in(X2,relation_rng(X1))|~relation(X1)),inference(er,[status(thm)],[26,theory(equality)])).
% cnf(70,negated_conjecture,(relation_rng(esk9_0)=X1|in(ordered_pair(esk5_2(esk9_0,X1),esk4_2(esk9_0,X1)),esk9_0)|in(esk4_2(esk9_0,X1),X1)),inference(spm,[status(thm)],[28,66,theory(equality)])).
% cnf(72,negated_conjecture,(relation_dom(esk9_0)=X1|in(ordered_pair(esk7_2(esk9_0,X1),esk8_2(esk9_0,X1)),esk9_0)|in(esk7_2(esk9_0,X1),X1)),inference(spm,[status(thm)],[37,66,theory(equality)])).
% cnf(76,plain,(relation_dom(X1)=X2|~in(esk7_2(X1,X2),X2)|~relation(X1)|~in(esk7_2(X1,X2),relation_dom(X1))),inference(spm,[status(thm)],[38,68,theory(equality)])).
% cnf(81,plain,(in(ordered_pair(esk6_3(X1,relation_dom(X1),X2),X2),X3)|relation_inverse(X1)!=X3|~relation(X3)|~relation(X1)|~in(X2,relation_dom(X1))),inference(spm,[status(thm)],[19,68,theory(equality)])).
% cnf(83,negated_conjecture,(in(esk4_2(esk9_0,X1),relation_rng(esk9_0))|relation_rng(esk9_0)=X1|in(esk4_2(esk9_0,X1),X1)|~relation(esk9_0)),inference(spm,[status(thm)],[45,70,theory(equality)])).
% cnf(102,negated_conjecture,(in(esk4_2(esk9_0,X1),relation_rng(esk9_0))|relation_rng(esk9_0)=X1|in(esk4_2(esk9_0,X1),X1)|$false),inference(rw,[status(thm)],[83,66,theory(equality)])).
% cnf(103,negated_conjecture,(in(esk4_2(esk9_0,X1),relation_rng(esk9_0))|relation_rng(esk9_0)=X1|in(esk4_2(esk9_0,X1),X1)),inference(cn,[status(thm)],[102,theory(equality)])).
% cnf(134,negated_conjecture,(in(esk7_2(esk9_0,X1),relation_dom(esk9_0))|relation_dom(esk9_0)=X1|in(esk7_2(esk9_0,X1),X1)|~relation(esk9_0)),inference(spm,[status(thm)],[46,72,theory(equality)])).
% cnf(157,negated_conjecture,(in(esk7_2(esk9_0,X1),relation_dom(esk9_0))|relation_dom(esk9_0)=X1|in(esk7_2(esk9_0,X1),X1)|$false),inference(rw,[status(thm)],[134,66,theory(equality)])).
% cnf(158,negated_conjecture,(in(esk7_2(esk9_0,X1),relation_dom(esk9_0))|relation_dom(esk9_0)=X1|in(esk7_2(esk9_0,X1),X1)),inference(cn,[status(thm)],[157,theory(equality)])).
% cnf(185,plain,(relation_rng(X1)=X2|~in(esk4_2(X1,X2),X2)|~relation(X1)|~in(esk4_2(X1,X2),relation_rng(X1))),inference(spm,[status(thm)],[29,69,theory(equality)])).
% cnf(190,plain,(in(ordered_pair(X1,esk3_3(X2,relation_rng(X2),X1)),X3)|relation_inverse(X2)!=X3|~relation(X3)|~relation(X2)|~in(X1,relation_rng(X2))),inference(spm,[status(thm)],[19,69,theory(equality)])).
% cnf(358,plain,(in(X1,relation_rng(X2))|~relation(X2)|relation_inverse(X3)!=X2|~in(X1,relation_dom(X3))|~relation(X3)),inference(spm,[status(thm)],[45,81,theory(equality)])).
% cnf(372,negated_conjecture,(in(esk7_2(esk9_0,X1),relation_rng(X2))|relation_dom(esk9_0)=X1|in(esk7_2(esk9_0,X1),X1)|relation_inverse(esk9_0)!=X2|~relation(X2)|~relation(esk9_0)),inference(spm,[status(thm)],[358,158,theory(equality)])).
% cnf(387,negated_conjecture,(in(esk7_2(esk9_0,X1),relation_rng(X2))|relation_dom(esk9_0)=X1|in(esk7_2(esk9_0,X1),X1)|relation_inverse(esk9_0)!=X2|~relation(X2)|$false),inference(rw,[status(thm)],[372,66,theory(equality)])).
% cnf(388,negated_conjecture,(in(esk7_2(esk9_0,X1),relation_rng(X2))|relation_dom(esk9_0)=X1|in(esk7_2(esk9_0,X1),X1)|relation_inverse(esk9_0)!=X2|~relation(X2)),inference(cn,[status(thm)],[387,theory(equality)])).
% cnf(686,negated_conjecture,(relation_dom(esk9_0)=X1|in(esk7_2(esk9_0,X1),relation_rng(relation_inverse(esk9_0)))|in(esk7_2(esk9_0,X1),X1)|~relation(relation_inverse(esk9_0))),inference(er,[status(thm)],[388,theory(equality)])).
% cnf(687,negated_conjecture,(relation_dom(esk9_0)=X1|in(esk7_2(esk9_0,X1),relation_rng(relation_inverse(esk9_0)))|in(esk7_2(esk9_0,X1),X1)|~relation(esk9_0)),inference(spm,[status(thm)],[686,61,theory(equality)])).
% cnf(688,negated_conjecture,(relation_dom(esk9_0)=X1|in(esk7_2(esk9_0,X1),relation_rng(relation_inverse(esk9_0)))|in(esk7_2(esk9_0,X1),X1)|$false),inference(rw,[status(thm)],[687,66,theory(equality)])).
% cnf(689,negated_conjecture,(relation_dom(esk9_0)=X1|in(esk7_2(esk9_0,X1),relation_rng(relation_inverse(esk9_0)))|in(esk7_2(esk9_0,X1),X1)),inference(cn,[status(thm)],[688,theory(equality)])).
% cnf(690,negated_conjecture,(relation_dom(esk9_0)=relation_rng(relation_inverse(esk9_0))|in(esk7_2(esk9_0,relation_rng(relation_inverse(esk9_0))),relation_rng(relation_inverse(esk9_0)))),inference(ef,[status(thm)],[689,theory(equality)])).
% cnf(740,plain,(in(X1,relation_dom(X2))|~relation(X2)|relation_inverse(X3)!=X2|~in(X1,relation_rng(X3))|~relation(X3)),inference(spm,[status(thm)],[46,190,theory(equality)])).
% cnf(757,negated_conjecture,(in(esk7_2(esk9_0,relation_rng(relation_inverse(esk9_0))),relation_dom(X1))|relation_rng(relation_inverse(esk9_0))=relation_dom(esk9_0)|relation_inverse(relation_inverse(esk9_0))!=X1|~relation(X1)|~relation(relation_inverse(esk9_0))),inference(spm,[status(thm)],[740,690,theory(equality)])).
% cnf(767,negated_conjecture,(in(esk4_2(esk9_0,X1),relation_dom(X2))|relation_rng(esk9_0)=X1|in(esk4_2(esk9_0,X1),X1)|relation_inverse(esk9_0)!=X2|~relation(X2)|~relation(esk9_0)),inference(spm,[status(thm)],[740,103,theory(equality)])).
% cnf(785,negated_conjecture,(in(esk4_2(esk9_0,X1),relation_dom(X2))|relation_rng(esk9_0)=X1|in(esk4_2(esk9_0,X1),X1)|relation_inverse(esk9_0)!=X2|~relation(X2)|$false),inference(rw,[status(thm)],[767,66,theory(equality)])).
% cnf(786,negated_conjecture,(in(esk4_2(esk9_0,X1),relation_dom(X2))|relation_rng(esk9_0)=X1|in(esk4_2(esk9_0,X1),X1)|relation_inverse(esk9_0)!=X2|~relation(X2)),inference(cn,[status(thm)],[785,theory(equality)])).
% cnf(827,negated_conjecture,(relation_dom(esk9_0)=relation_rng(relation_inverse(esk9_0))|~in(esk7_2(esk9_0,relation_rng(relation_inverse(esk9_0))),relation_rng(relation_inverse(esk9_0)))|~relation(esk9_0)|relation_inverse(relation_inverse(esk9_0))!=esk9_0|~relation(relation_inverse(esk9_0))),inference(spm,[status(thm)],[76,757,theory(equality)])).
% cnf(829,negated_conjecture,(relation_dom(esk9_0)=relation_rng(relation_inverse(esk9_0))|~in(esk7_2(esk9_0,relation_rng(relation_inverse(esk9_0))),relation_rng(relation_inverse(esk9_0)))|$false|relation_inverse(relation_inverse(esk9_0))!=esk9_0|~relation(relation_inverse(esk9_0))),inference(rw,[status(thm)],[827,66,theory(equality)])).
% cnf(830,negated_conjecture,(relation_dom(esk9_0)=relation_rng(relation_inverse(esk9_0))|~in(esk7_2(esk9_0,relation_rng(relation_inverse(esk9_0))),relation_rng(relation_inverse(esk9_0)))|relation_inverse(relation_inverse(esk9_0))!=esk9_0|~relation(relation_inverse(esk9_0))),inference(cn,[status(thm)],[829,theory(equality)])).
% cnf(833,negated_conjecture,(relation_rng(relation_inverse(esk9_0))=relation_dom(esk9_0)|relation_inverse(relation_inverse(esk9_0))!=esk9_0|~relation(relation_inverse(esk9_0))),inference(csr,[status(thm)],[830,690])).
% cnf(834,negated_conjecture,(relation_rng(relation_inverse(esk9_0))=relation_dom(esk9_0)|relation_inverse(relation_inverse(esk9_0))!=esk9_0|~relation(esk9_0)),inference(spm,[status(thm)],[833,61,theory(equality)])).
% cnf(835,negated_conjecture,(relation_rng(relation_inverse(esk9_0))=relation_dom(esk9_0)|relation_inverse(relation_inverse(esk9_0))!=esk9_0|$false),inference(rw,[status(thm)],[834,66,theory(equality)])).
% cnf(836,negated_conjecture,(relation_rng(relation_inverse(esk9_0))=relation_dom(esk9_0)|relation_inverse(relation_inverse(esk9_0))!=esk9_0),inference(cn,[status(thm)],[835,theory(equality)])).
% cnf(837,negated_conjecture,(relation_rng(relation_inverse(esk9_0))=relation_dom(esk9_0)|~relation(esk9_0)),inference(spm,[status(thm)],[836,58,theory(equality)])).
% cnf(838,negated_conjecture,(relation_rng(relation_inverse(esk9_0))=relation_dom(esk9_0)|$false),inference(rw,[status(thm)],[837,66,theory(equality)])).
% cnf(839,negated_conjecture,(relation_rng(relation_inverse(esk9_0))=relation_dom(esk9_0)),inference(cn,[status(thm)],[838,theory(equality)])).
% cnf(873,negated_conjecture,($false|relation_dom(relation_inverse(esk9_0))!=relation_rng(esk9_0)),inference(rw,[status(thm)],[65,839,theory(equality)])).
% cnf(874,negated_conjecture,(relation_dom(relation_inverse(esk9_0))!=relation_rng(esk9_0)),inference(cn,[status(thm)],[873,theory(equality)])).
% cnf(7362,negated_conjecture,(relation_rng(esk9_0)=X1|in(esk4_2(esk9_0,X1),relation_dom(relation_inverse(esk9_0)))|in(esk4_2(esk9_0,X1),X1)|~relation(relation_inverse(esk9_0))),inference(er,[status(thm)],[786,theory(equality)])).
% cnf(7521,negated_conjecture,(relation_rng(esk9_0)=X1|in(esk4_2(esk9_0,X1),relation_dom(relation_inverse(esk9_0)))|in(esk4_2(esk9_0,X1),X1)|~relation(esk9_0)),inference(spm,[status(thm)],[7362,61,theory(equality)])).
% cnf(7522,negated_conjecture,(relation_rng(esk9_0)=X1|in(esk4_2(esk9_0,X1),relation_dom(relation_inverse(esk9_0)))|in(esk4_2(esk9_0,X1),X1)|$false),inference(rw,[status(thm)],[7521,66,theory(equality)])).
% cnf(7523,negated_conjecture,(relation_rng(esk9_0)=X1|in(esk4_2(esk9_0,X1),relation_dom(relation_inverse(esk9_0)))|in(esk4_2(esk9_0,X1),X1)),inference(cn,[status(thm)],[7522,theory(equality)])).
% cnf(7622,negated_conjecture,(relation_rng(esk9_0)=relation_dom(relation_inverse(esk9_0))|in(esk4_2(esk9_0,relation_dom(relation_inverse(esk9_0))),relation_dom(relation_inverse(esk9_0)))),inference(ef,[status(thm)],[7523,theory(equality)])).
% cnf(7665,negated_conjecture,(in(esk4_2(esk9_0,relation_dom(relation_inverse(esk9_0))),relation_dom(relation_inverse(esk9_0)))),inference(sr,[status(thm)],[7622,874,theory(equality)])).
% cnf(7671,negated_conjecture,(in(esk4_2(esk9_0,relation_dom(relation_inverse(esk9_0))),relation_rng(X1))|relation_inverse(relation_inverse(esk9_0))!=X1|~relation(X1)|~relation(relation_inverse(esk9_0))),inference(spm,[status(thm)],[358,7665,theory(equality)])).
% cnf(7712,negated_conjecture,(relation_rng(esk9_0)=relation_dom(relation_inverse(esk9_0))|~in(esk4_2(esk9_0,relation_dom(relation_inverse(esk9_0))),relation_dom(relation_inverse(esk9_0)))|~relation(esk9_0)|relation_inverse(relation_inverse(esk9_0))!=esk9_0|~relation(relation_inverse(esk9_0))),inference(spm,[status(thm)],[185,7671,theory(equality)])).
% cnf(7736,negated_conjecture,(relation_rng(esk9_0)=relation_dom(relation_inverse(esk9_0))|$false|~relation(esk9_0)|relation_inverse(relation_inverse(esk9_0))!=esk9_0|~relation(relation_inverse(esk9_0))),inference(rw,[status(thm)],[7712,7665,theory(equality)])).
% cnf(7737,negated_conjecture,(relation_rng(esk9_0)=relation_dom(relation_inverse(esk9_0))|$false|$false|relation_inverse(relation_inverse(esk9_0))!=esk9_0|~relation(relation_inverse(esk9_0))),inference(rw,[status(thm)],[7736,66,theory(equality)])).
% cnf(7738,negated_conjecture,(relation_rng(esk9_0)=relation_dom(relation_inverse(esk9_0))|relation_inverse(relation_inverse(esk9_0))!=esk9_0|~relation(relation_inverse(esk9_0))),inference(cn,[status(thm)],[7737,theory(equality)])).
% cnf(7739,negated_conjecture,(relation_inverse(relation_inverse(esk9_0))!=esk9_0|~relation(relation_inverse(esk9_0))),inference(sr,[status(thm)],[7738,874,theory(equality)])).
% cnf(7751,negated_conjecture,(relation_inverse(relation_inverse(esk9_0))!=esk9_0|~relation(esk9_0)),inference(spm,[status(thm)],[7739,61,theory(equality)])).
% cnf(7752,negated_conjecture,(relation_inverse(relation_inverse(esk9_0))!=esk9_0|$false),inference(rw,[status(thm)],[7751,66,theory(equality)])).
% cnf(7753,negated_conjecture,(relation_inverse(relation_inverse(esk9_0))!=esk9_0),inference(cn,[status(thm)],[7752,theory(equality)])).
% cnf(7762,negated_conjecture,(~relation(esk9_0)),inference(spm,[status(thm)],[7753,58,theory(equality)])).
% cnf(7763,negated_conjecture,($false),inference(rw,[status(thm)],[7762,66,theory(equality)])).
% cnf(7764,negated_conjecture,($false),inference(cn,[status(thm)],[7763,theory(equality)])).
% cnf(7765,negated_conjecture,($false),7764,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 614
% # ...of these trivial                : 9
% # ...subsumed                        : 222
% # ...remaining for further processing: 383
% # Other redundant clauses eliminated : 388
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 37
% # Backward-rewritten                 : 6
% # Generated clauses                  : 6088
% # ...of the previous two non-trivial : 5628
% # Contextual simplify-reflections    : 245
% # Paramodulations                    : 5605
% # Factorizations                     : 16
% # Equation resolutions               : 467
% # Current number of processed clauses: 318
% #    Positive orientable unit clauses: 3
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 2
% #    Non-unit-clauses                : 313
% # Current number of unprocessed clauses: 4923
% # ...number of literals in the above : 36758
% # Clause-clause subsumption calls (NU) : 3804
% # Rec. Clause-clause subsumption calls : 1595
% # Unit Clause-clause subsumption calls : 70
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 1
% # Indexed BW rewrite successes       : 1
% # Backwards rewriting index:   266 leaves,   1.37+/-0.880 terms/leaf
% # Paramod-from index:           99 leaves,   1.15+/-0.458 terms/leaf
% # Paramod-into index:          187 leaves,   1.29+/-0.720 terms/leaf
% # -------------------------------------------------
% # User time              : 0.345 s
% # System time            : 0.009 s
% # Total time             : 0.354 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.57 CPU 0.66 WC
% FINAL PrfWatch: 0.57 CPU 0.66 WC
% SZS output end Solution for /tmp/SystemOnTPTP27273/SEU181+2.tptp
% 
%------------------------------------------------------------------------------