%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SEU191+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 : 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 01:37:14 EST 2010

% Result   : Theorem 86.96s
% Output   : Solution 88.00s
% 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/SystemOnTPTP26947/SEU191+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% not found
% Adding ~C to TBU       ... ~t74_relat_1:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... antisymmetry_r2_hidden:
%  CSA axiom antisymmetry_r2_hidden 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 ... d10_relat_1:
%  CSA axiom d10_relat_1 found
% Looking for CSA axiom ... d8_relat_1:
%  CSA axiom d8_relat_1 found
% Looking for CSA axiom ... d1_relat_1:
%  CSA axiom d1_relat_1 found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT   ... 
% no
% Looking for TBU UNS   ... 
% yes - theorem proved
% ---- Selection completed
% Selected axioms are   ... :d1_relat_1:d8_relat_1:d10_relat_1:dt_k6_relat_1:dt_k5_relat_1:antisymmetry_r2_hidden (6)
% Unselected axioms are ... :t30_relat_1:fc10_relat_1:fc9_relat_1:l55_zfmisc_1:t106_zfmisc_1:t56_relat_1:d4_relat_1:d5_relat_1:t33_zfmisc_1:d7_relat_1:t20_relat_1:d2_zfmisc_1:fc1_zfmisc_1:t44_relat_1:t45_relat_1:d1_xboole_0:existence_m1_subset_1:involutiveness_k4_relat_1:rc1_xboole_0:rc2_xboole_0:reflexivity_r1_tarski:symmetry_r1_xboole_0:t1_xboole_1:t2_tarski:cc1_relat_1:d3_tarski:rc1_relat_1:rc2_relat_1:fc2_relat_1:t1_subset:t7_boole:dt_k4_relat_1:t3_xboole_0:t25_relat_1:t46_relat_1:t47_relat_1:d1_setfam_1:commutativity_k2_tarski:commutativity_k3_xboole_0:fc4_relat_1:idempotence_k3_xboole_0:l3_subset_1:l71_subset_1:t10_zfmisc_1:t3_xboole_1:t4_subset:t64_relat_1:t65_relat_1:d2_subset_1:fc5_relat_1:fc6_relat_1:fc7_relat_1:fc8_relat_1:t2_subset:t37_relat_1:commutativity_k2_xboole_0:idempotence_k2_xboole_0:l1_zfmisc_1:l2_zfmisc_1:t37_zfmisc_1:t6_boole:l50_zfmisc_1:t1_boole:t21_relat_1:t2_boole:t38_zfmisc_1:t3_boole:t4_boole:t8_boole:t92_zfmisc_1:t9_tarski:d10_xboole_0:d1_tarski:d2_tarski:d2_xboole_0:d3_xboole_0:d4_xboole_0:d4_tarski:t118_zfmisc_1:t119_zfmisc_1:t60_relat_1:fc4_subset_1:t2_xboole_1:t71_relat_1:t7_xboole_1:t8_xboole_1:d1_zfmisc_1:d6_relat_1:antisymmetry_r2_xboole_0:fc1_subset_1:fc1_xboole_0:irreflexivity_r2_xboole_0:t1_zfmisc_1:d7_xboole_0:fc2_subset_1:fc2_xboole_0:fc3_xboole_0:l4_zfmisc_1:t39_zfmisc_1:t5_subset:fc3_subset_1:l23_zfmisc_1:l32_xboole_1:t33_xboole_1:t36_xboole_1:t37_xboole_1:t46_zfmisc_1:t54_subset_1:t65_zfmisc_1:d5_tarski:l3_zfmisc_1:rc1_subset_1:rc2_subset_1:t12_xboole_1:t136_zfmisc_1:t17_xboole_1:t19_xboole_1:t26_xboole_1:t28_xboole_1:t3_subset:t50_subset_1:t60_xboole_1:t63_xboole_1:t6_zfmisc_1:t99_zfmisc_1:d5_subset_1:dt_k2_subset_1:dt_k3_subset_1:dt_k5_setfam_1:dt_k6_setfam_1:dt_k6_subset_1:dt_k7_setfam_1:l25_zfmisc_1:l28_zfmisc_1:t39_xboole_1:t40_xboole_1:t4_xboole_0:t43_subset_1:t48_xboole_1:t69_enumset1:t83_xboole_1:t8_zfmisc_1:t9_zfmisc_1:d8_xboole_0:d4_subset_1:redefinition_k6_setfam_1:redefinition_k6_subset_1:t45_xboole_1:involutiveness_k3_subset_1:involutiveness_k7_setfam_1:t46_setfam_1:d8_setfam_1:redefinition_k5_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 (170)
% SZS status THM for /tmp/SystemOnTPTP26947/SEU191+2.tptp
% Looking for THM       ... 
% found
% SZS output start Solution for /tmp/SystemOnTPTP26947/SEU191+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 28321
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time     : 0.014 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:(relation(X1)=>![X2]:(relation(X2)=>![X3]:(relation(X3)=>(X3=relation_composition(X1,X2)<=>![X4]:![X5]:(in(ordered_pair(X4,X5),X3)<=>?[X6]:(in(ordered_pair(X4,X6),X1)&in(ordered_pair(X6,X5),X2))))))),file('/tmp/SRASS.s.p', d8_relat_1)).
% fof(3, axiom,![X1]:![X2]:(relation(X2)=>(X2=identity_relation(X1)<=>![X3]:![X4]:(in(ordered_pair(X3,X4),X2)<=>(in(X3,X1)&X3=X4)))),file('/tmp/SRASS.s.p', d10_relat_1)).
% fof(4, axiom,![X1]:relation(identity_relation(X1)),file('/tmp/SRASS.s.p', dt_k6_relat_1)).
% fof(5, axiom,![X1]:![X2]:((relation(X1)&relation(X2))=>relation(relation_composition(X1,X2))),file('/tmp/SRASS.s.p', dt_k5_relat_1)).
% fof(7, conjecture,![X1]:![X2]:![X3]:![X4]:(relation(X4)=>(in(ordered_pair(X1,X2),relation_composition(identity_relation(X3),X4))<=>(in(X1,X3)&in(ordered_pair(X1,X2),X4)))),file('/tmp/SRASS.s.p', t74_relat_1)).
% fof(8, negated_conjecture,~(![X1]:![X2]:![X3]:![X4]:(relation(X4)=>(in(ordered_pair(X1,X2),relation_composition(identity_relation(X3),X4))<=>(in(X1,X3)&in(ordered_pair(X1,X2),X4))))),inference(assume_negation,[status(cth)],[7])).
% fof(18, plain,![X1]:(~(relation(X1))|![X2]:(~(relation(X2))|![X3]:(~(relation(X3))|((~(X3=relation_composition(X1,X2))|![X4]:![X5]:((~(in(ordered_pair(X4,X5),X3))|?[X6]:(in(ordered_pair(X4,X6),X1)&in(ordered_pair(X6,X5),X2)))&(![X6]:(~(in(ordered_pair(X4,X6),X1))|~(in(ordered_pair(X6,X5),X2)))|in(ordered_pair(X4,X5),X3))))&(?[X4]:?[X5]:((~(in(ordered_pair(X4,X5),X3))|![X6]:(~(in(ordered_pair(X4,X6),X1))|~(in(ordered_pair(X6,X5),X2))))&(in(ordered_pair(X4,X5),X3)|?[X6]:(in(ordered_pair(X4,X6),X1)&in(ordered_pair(X6,X5),X2))))|X3=relation_composition(X1,X2)))))),inference(fof_nnf,[status(thm)],[2])).
% fof(19, plain,![X7]:(~(relation(X7))|![X8]:(~(relation(X8))|![X9]:(~(relation(X9))|((~(X9=relation_composition(X7,X8))|![X10]:![X11]:((~(in(ordered_pair(X10,X11),X9))|?[X12]:(in(ordered_pair(X10,X12),X7)&in(ordered_pair(X12,X11),X8)))&(![X13]:(~(in(ordered_pair(X10,X13),X7))|~(in(ordered_pair(X13,X11),X8)))|in(ordered_pair(X10,X11),X9))))&(?[X14]:?[X15]:((~(in(ordered_pair(X14,X15),X9))|![X16]:(~(in(ordered_pair(X14,X16),X7))|~(in(ordered_pair(X16,X15),X8))))&(in(ordered_pair(X14,X15),X9)|?[X17]:(in(ordered_pair(X14,X17),X7)&in(ordered_pair(X17,X15),X8))))|X9=relation_composition(X7,X8)))))),inference(variable_rename,[status(thm)],[18])).
% fof(20, plain,![X7]:(~(relation(X7))|![X8]:(~(relation(X8))|![X9]:(~(relation(X9))|((~(X9=relation_composition(X7,X8))|![X10]:![X11]:((~(in(ordered_pair(X10,X11),X9))|(in(ordered_pair(X10,esk4_5(X7,X8,X9,X10,X11)),X7)&in(ordered_pair(esk4_5(X7,X8,X9,X10,X11),X11),X8)))&(![X13]:(~(in(ordered_pair(X10,X13),X7))|~(in(ordered_pair(X13,X11),X8)))|in(ordered_pair(X10,X11),X9))))&(((~(in(ordered_pair(esk5_3(X7,X8,X9),esk6_3(X7,X8,X9)),X9))|![X16]:(~(in(ordered_pair(esk5_3(X7,X8,X9),X16),X7))|~(in(ordered_pair(X16,esk6_3(X7,X8,X9)),X8))))&(in(ordered_pair(esk5_3(X7,X8,X9),esk6_3(X7,X8,X9)),X9)|(in(ordered_pair(esk5_3(X7,X8,X9),esk7_3(X7,X8,X9)),X7)&in(ordered_pair(esk7_3(X7,X8,X9),esk6_3(X7,X8,X9)),X8))))|X9=relation_composition(X7,X8)))))),inference(skolemize,[status(esa)],[19])).
% fof(21, plain,![X7]:![X8]:![X9]:![X10]:![X11]:![X13]:![X16]:((((((((~(in(ordered_pair(esk5_3(X7,X8,X9),X16),X7))|~(in(ordered_pair(X16,esk6_3(X7,X8,X9)),X8)))|~(in(ordered_pair(esk5_3(X7,X8,X9),esk6_3(X7,X8,X9)),X9)))&(in(ordered_pair(esk5_3(X7,X8,X9),esk6_3(X7,X8,X9)),X9)|(in(ordered_pair(esk5_3(X7,X8,X9),esk7_3(X7,X8,X9)),X7)&in(ordered_pair(esk7_3(X7,X8,X9),esk6_3(X7,X8,X9)),X8))))|X9=relation_composition(X7,X8))&((((~(in(ordered_pair(X10,X13),X7))|~(in(ordered_pair(X13,X11),X8)))|in(ordered_pair(X10,X11),X9))&(~(in(ordered_pair(X10,X11),X9))|(in(ordered_pair(X10,esk4_5(X7,X8,X9,X10,X11)),X7)&in(ordered_pair(esk4_5(X7,X8,X9,X10,X11),X11),X8))))|~(X9=relation_composition(X7,X8))))|~(relation(X9)))|~(relation(X8)))|~(relation(X7))),inference(shift_quantors,[status(thm)],[20])).
% fof(22, plain,![X7]:![X8]:![X9]:![X10]:![X11]:![X13]:![X16]:((((((((~(in(ordered_pair(esk5_3(X7,X8,X9),X16),X7))|~(in(ordered_pair(X16,esk6_3(X7,X8,X9)),X8)))|~(in(ordered_pair(esk5_3(X7,X8,X9),esk6_3(X7,X8,X9)),X9)))|X9=relation_composition(X7,X8))|~(relation(X9)))|~(relation(X8)))|~(relation(X7)))&((((((in(ordered_pair(esk5_3(X7,X8,X9),esk7_3(X7,X8,X9)),X7)|in(ordered_pair(esk5_3(X7,X8,X9),esk6_3(X7,X8,X9)),X9))|X9=relation_composition(X7,X8))|~(relation(X9)))|~(relation(X8)))|~(relation(X7)))&(((((in(ordered_pair(esk7_3(X7,X8,X9),esk6_3(X7,X8,X9)),X8)|in(ordered_pair(esk5_3(X7,X8,X9),esk6_3(X7,X8,X9)),X9))|X9=relation_composition(X7,X8))|~(relation(X9)))|~(relation(X8)))|~(relation(X7)))))&(((((((~(in(ordered_pair(X10,X13),X7))|~(in(ordered_pair(X13,X11),X8)))|in(ordered_pair(X10,X11),X9))|~(X9=relation_composition(X7,X8)))|~(relation(X9)))|~(relation(X8)))|~(relation(X7)))&((((((in(ordered_pair(X10,esk4_5(X7,X8,X9,X10,X11)),X7)|~(in(ordered_pair(X10,X11),X9)))|~(X9=relation_composition(X7,X8)))|~(relation(X9)))|~(relation(X8)))|~(relation(X7)))&(((((in(ordered_pair(esk4_5(X7,X8,X9,X10,X11),X11),X8)|~(in(ordered_pair(X10,X11),X9)))|~(X9=relation_composition(X7,X8)))|~(relation(X9)))|~(relation(X8)))|~(relation(X7)))))),inference(distribute,[status(thm)],[21])).
% cnf(23,plain,(in(ordered_pair(esk4_5(X1,X2,X3,X4,X5),X5),X2)|~relation(X1)|~relation(X2)|~relation(X3)|X3!=relation_composition(X1,X2)|~in(ordered_pair(X4,X5),X3)),inference(split_conjunct,[status(thm)],[22])).
% cnf(24,plain,(in(ordered_pair(X4,esk4_5(X1,X2,X3,X4,X5)),X1)|~relation(X1)|~relation(X2)|~relation(X3)|X3!=relation_composition(X1,X2)|~in(ordered_pair(X4,X5),X3)),inference(split_conjunct,[status(thm)],[22])).
% cnf(25,plain,(in(ordered_pair(X4,X5),X3)|~relation(X1)|~relation(X2)|~relation(X3)|X3!=relation_composition(X1,X2)|~in(ordered_pair(X6,X5),X2)|~in(ordered_pair(X4,X6),X1)),inference(split_conjunct,[status(thm)],[22])).
% fof(29, plain,![X1]:![X2]:(~(relation(X2))|((~(X2=identity_relation(X1))|![X3]:![X4]:((~(in(ordered_pair(X3,X4),X2))|(in(X3,X1)&X3=X4))&((~(in(X3,X1))|~(X3=X4))|in(ordered_pair(X3,X4),X2))))&(?[X3]:?[X4]:((~(in(ordered_pair(X3,X4),X2))|(~(in(X3,X1))|~(X3=X4)))&(in(ordered_pair(X3,X4),X2)|(in(X3,X1)&X3=X4)))|X2=identity_relation(X1)))),inference(fof_nnf,[status(thm)],[3])).
% fof(30, plain,![X5]:![X6]:(~(relation(X6))|((~(X6=identity_relation(X5))|![X7]:![X8]:((~(in(ordered_pair(X7,X8),X6))|(in(X7,X5)&X7=X8))&((~(in(X7,X5))|~(X7=X8))|in(ordered_pair(X7,X8),X6))))&(?[X9]:?[X10]:((~(in(ordered_pair(X9,X10),X6))|(~(in(X9,X5))|~(X9=X10)))&(in(ordered_pair(X9,X10),X6)|(in(X9,X5)&X9=X10)))|X6=identity_relation(X5)))),inference(variable_rename,[status(thm)],[29])).
% fof(31, plain,![X5]:![X6]:(~(relation(X6))|((~(X6=identity_relation(X5))|![X7]:![X8]:((~(in(ordered_pair(X7,X8),X6))|(in(X7,X5)&X7=X8))&((~(in(X7,X5))|~(X7=X8))|in(ordered_pair(X7,X8),X6))))&(((~(in(ordered_pair(esk8_2(X5,X6),esk9_2(X5,X6)),X6))|(~(in(esk8_2(X5,X6),X5))|~(esk8_2(X5,X6)=esk9_2(X5,X6))))&(in(ordered_pair(esk8_2(X5,X6),esk9_2(X5,X6)),X6)|(in(esk8_2(X5,X6),X5)&esk8_2(X5,X6)=esk9_2(X5,X6))))|X6=identity_relation(X5)))),inference(skolemize,[status(esa)],[30])).
% fof(32, plain,![X5]:![X6]:![X7]:![X8]:(((((~(in(ordered_pair(X7,X8),X6))|(in(X7,X5)&X7=X8))&((~(in(X7,X5))|~(X7=X8))|in(ordered_pair(X7,X8),X6)))|~(X6=identity_relation(X5)))&(((~(in(ordered_pair(esk8_2(X5,X6),esk9_2(X5,X6)),X6))|(~(in(esk8_2(X5,X6),X5))|~(esk8_2(X5,X6)=esk9_2(X5,X6))))&(in(ordered_pair(esk8_2(X5,X6),esk9_2(X5,X6)),X6)|(in(esk8_2(X5,X6),X5)&esk8_2(X5,X6)=esk9_2(X5,X6))))|X6=identity_relation(X5)))|~(relation(X6))),inference(shift_quantors,[status(thm)],[31])).
% fof(33, plain,![X5]:![X6]:![X7]:![X8]:((((((in(X7,X5)|~(in(ordered_pair(X7,X8),X6)))|~(X6=identity_relation(X5)))|~(relation(X6)))&(((X7=X8|~(in(ordered_pair(X7,X8),X6)))|~(X6=identity_relation(X5)))|~(relation(X6))))&((((~(in(X7,X5))|~(X7=X8))|in(ordered_pair(X7,X8),X6))|~(X6=identity_relation(X5)))|~(relation(X6))))&((((~(in(ordered_pair(esk8_2(X5,X6),esk9_2(X5,X6)),X6))|(~(in(esk8_2(X5,X6),X5))|~(esk8_2(X5,X6)=esk9_2(X5,X6))))|X6=identity_relation(X5))|~(relation(X6)))&((((in(esk8_2(X5,X6),X5)|in(ordered_pair(esk8_2(X5,X6),esk9_2(X5,X6)),X6))|X6=identity_relation(X5))|~(relation(X6)))&(((esk8_2(X5,X6)=esk9_2(X5,X6)|in(ordered_pair(esk8_2(X5,X6),esk9_2(X5,X6)),X6))|X6=identity_relation(X5))|~(relation(X6)))))),inference(distribute,[status(thm)],[32])).
% cnf(37,plain,(in(ordered_pair(X3,X4),X1)|~relation(X1)|X1!=identity_relation(X2)|X3!=X4|~in(X3,X2)),inference(split_conjunct,[status(thm)],[33])).
% cnf(38,plain,(X3=X4|~relation(X1)|X1!=identity_relation(X2)|~in(ordered_pair(X3,X4),X1)),inference(split_conjunct,[status(thm)],[33])).
% cnf(39,plain,(in(X3,X2)|~relation(X1)|X1!=identity_relation(X2)|~in(ordered_pair(X3,X4),X1)),inference(split_conjunct,[status(thm)],[33])).
% fof(40, plain,![X2]:relation(identity_relation(X2)),inference(variable_rename,[status(thm)],[4])).
% cnf(41,plain,(relation(identity_relation(X1))),inference(split_conjunct,[status(thm)],[40])).
% fof(42, plain,![X1]:![X2]:((~(relation(X1))|~(relation(X2)))|relation(relation_composition(X1,X2))),inference(fof_nnf,[status(thm)],[5])).
% fof(43, plain,![X3]:![X4]:((~(relation(X3))|~(relation(X4)))|relation(relation_composition(X3,X4))),inference(variable_rename,[status(thm)],[42])).
% cnf(44,plain,(relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1)),inference(split_conjunct,[status(thm)],[43])).
% fof(48, negated_conjecture,?[X1]:?[X2]:?[X3]:?[X4]:(relation(X4)&((~(in(ordered_pair(X1,X2),relation_composition(identity_relation(X3),X4)))|(~(in(X1,X3))|~(in(ordered_pair(X1,X2),X4))))&(in(ordered_pair(X1,X2),relation_composition(identity_relation(X3),X4))|(in(X1,X3)&in(ordered_pair(X1,X2),X4))))),inference(fof_nnf,[status(thm)],[8])).
% fof(49, negated_conjecture,?[X5]:?[X6]:?[X7]:?[X8]:(relation(X8)&((~(in(ordered_pair(X5,X6),relation_composition(identity_relation(X7),X8)))|(~(in(X5,X7))|~(in(ordered_pair(X5,X6),X8))))&(in(ordered_pair(X5,X6),relation_composition(identity_relation(X7),X8))|(in(X5,X7)&in(ordered_pair(X5,X6),X8))))),inference(variable_rename,[status(thm)],[48])).
% fof(50, negated_conjecture,(relation(esk13_0)&((~(in(ordered_pair(esk10_0,esk11_0),relation_composition(identity_relation(esk12_0),esk13_0)))|(~(in(esk10_0,esk12_0))|~(in(ordered_pair(esk10_0,esk11_0),esk13_0))))&(in(ordered_pair(esk10_0,esk11_0),relation_composition(identity_relation(esk12_0),esk13_0))|(in(esk10_0,esk12_0)&in(ordered_pair(esk10_0,esk11_0),esk13_0))))),inference(skolemize,[status(esa)],[49])).
% fof(51, negated_conjecture,(relation(esk13_0)&((~(in(ordered_pair(esk10_0,esk11_0),relation_composition(identity_relation(esk12_0),esk13_0)))|(~(in(esk10_0,esk12_0))|~(in(ordered_pair(esk10_0,esk11_0),esk13_0))))&((in(esk10_0,esk12_0)|in(ordered_pair(esk10_0,esk11_0),relation_composition(identity_relation(esk12_0),esk13_0)))&(in(ordered_pair(esk10_0,esk11_0),esk13_0)|in(ordered_pair(esk10_0,esk11_0),relation_composition(identity_relation(esk12_0),esk13_0)))))),inference(distribute,[status(thm)],[50])).
% cnf(52,negated_conjecture,(in(ordered_pair(esk10_0,esk11_0),relation_composition(identity_relation(esk12_0),esk13_0))|in(ordered_pair(esk10_0,esk11_0),esk13_0)),inference(split_conjunct,[status(thm)],[51])).
% cnf(53,negated_conjecture,(in(ordered_pair(esk10_0,esk11_0),relation_composition(identity_relation(esk12_0),esk13_0))|in(esk10_0,esk12_0)),inference(split_conjunct,[status(thm)],[51])).
% cnf(54,negated_conjecture,(~in(ordered_pair(esk10_0,esk11_0),esk13_0)|~in(esk10_0,esk12_0)|~in(ordered_pair(esk10_0,esk11_0),relation_composition(identity_relation(esk12_0),esk13_0))),inference(split_conjunct,[status(thm)],[51])).
% cnf(55,negated_conjecture,(relation(esk13_0)),inference(split_conjunct,[status(thm)],[51])).
% cnf(56,plain,(in(ordered_pair(X1,X1),X2)|identity_relation(X3)!=X2|~in(X1,X3)|~relation(X2)),inference(er,[status(thm)],[37,theory(equality)])).
% cnf(82,plain,(X1=esk4_5(X2,X3,X4,X1,X5)|identity_relation(X6)!=X2|~relation(X2)|relation_composition(X2,X3)!=X4|~in(ordered_pair(X1,X5),X4)|~relation(X4)|~relation(X3)),inference(spm,[status(thm)],[38,24,theory(equality)])).
% cnf(83,plain,(in(X1,X2)|identity_relation(X2)!=X3|~relation(X3)|relation_composition(X3,X4)!=X5|~in(ordered_pair(X1,X6),X5)|~relation(X5)|~relation(X4)),inference(spm,[status(thm)],[39,24,theory(equality)])).
% cnf(455,negated_conjecture,(in(esk10_0,X1)|in(esk10_0,esk12_0)|relation_composition(X2,X3)!=relation_composition(identity_relation(esk12_0),esk13_0)|identity_relation(X1)!=X2|~relation(X2)|~relation(relation_composition(identity_relation(esk12_0),esk13_0))|~relation(X3)),inference(spm,[status(thm)],[83,53,theory(equality)])).
% cnf(469,negated_conjecture,(in(esk10_0,esk12_0)|in(esk10_0,X1)|relation_composition(X2,X3)!=relation_composition(identity_relation(esk12_0),esk13_0)|identity_relation(X1)!=X2|~relation(X2)|~relation(X3)|~relation(esk13_0)|~relation(identity_relation(esk12_0))),inference(spm,[status(thm)],[455,44,theory(equality)])).
% cnf(470,negated_conjecture,(in(esk10_0,esk12_0)|in(esk10_0,X1)|relation_composition(X2,X3)!=relation_composition(identity_relation(esk12_0),esk13_0)|identity_relation(X1)!=X2|~relation(X2)|~relation(X3)|$false|~relation(identity_relation(esk12_0))),inference(rw,[status(thm)],[469,55,theory(equality)])).
% cnf(471,negated_conjecture,(in(esk10_0,esk12_0)|in(esk10_0,X1)|relation_composition(X2,X3)!=relation_composition(identity_relation(esk12_0),esk13_0)|identity_relation(X1)!=X2|~relation(X2)|~relation(X3)|$false|$false),inference(rw,[status(thm)],[470,41,theory(equality)])).
% cnf(472,negated_conjecture,(in(esk10_0,esk12_0)|in(esk10_0,X1)|relation_composition(X2,X3)!=relation_composition(identity_relation(esk12_0),esk13_0)|identity_relation(X1)!=X2|~relation(X2)|~relation(X3)),inference(cn,[status(thm)],[471,theory(equality)])).
% cnf(475,plain,(esk4_5(identity_relation(X1),X2,X3,X4,X5)=X4|relation_composition(identity_relation(X1),X2)!=X3|~in(ordered_pair(X4,X5),X3)|~relation(identity_relation(X1))|~relation(X3)|~relation(X2)),inference(er,[status(thm)],[82,theory(equality)])).
% cnf(476,plain,(esk4_5(identity_relation(X1),X2,X3,X4,X5)=X4|relation_composition(identity_relation(X1),X2)!=X3|~in(ordered_pair(X4,X5),X3)|$false|~relation(X3)|~relation(X2)),inference(rw,[status(thm)],[475,41,theory(equality)])).
% cnf(477,plain,(esk4_5(identity_relation(X1),X2,X3,X4,X5)=X4|relation_composition(identity_relation(X1),X2)!=X3|~in(ordered_pair(X4,X5),X3)|~relation(X3)|~relation(X2)),inference(cn,[status(thm)],[476,theory(equality)])).
% cnf(479,negated_conjecture,(in(esk10_0,esk12_0)|in(esk10_0,X1)|identity_relation(X1)!=identity_relation(esk12_0)|~relation(identity_relation(esk12_0))|~relation(esk13_0)),inference(er,[status(thm)],[472,theory(equality)])).
% cnf(480,negated_conjecture,(in(esk10_0,esk12_0)|in(esk10_0,X1)|identity_relation(X1)!=identity_relation(esk12_0)|$false|~relation(esk13_0)),inference(rw,[status(thm)],[479,41,theory(equality)])).
% cnf(481,negated_conjecture,(in(esk10_0,esk12_0)|in(esk10_0,X1)|identity_relation(X1)!=identity_relation(esk12_0)|$false|$false),inference(rw,[status(thm)],[480,55,theory(equality)])).
% cnf(482,negated_conjecture,(in(esk10_0,esk12_0)|in(esk10_0,X1)|identity_relation(X1)!=identity_relation(esk12_0)),inference(cn,[status(thm)],[481,theory(equality)])).
% cnf(483,negated_conjecture,(in(esk10_0,esk12_0)),inference(er,[status(thm)],[482,theory(equality)])).
% cnf(485,negated_conjecture,(in(ordered_pair(esk10_0,esk10_0),X1)|identity_relation(esk12_0)!=X1|~relation(X1)),inference(spm,[status(thm)],[56,483,theory(equality)])).
% cnf(505,negated_conjecture,(~in(ordered_pair(esk10_0,esk11_0),relation_composition(identity_relation(esk12_0),esk13_0))|~in(ordered_pair(esk10_0,esk11_0),esk13_0)|$false),inference(rw,[status(thm)],[54,483,theory(equality)])).
% cnf(506,negated_conjecture,(~in(ordered_pair(esk10_0,esk11_0),relation_composition(identity_relation(esk12_0),esk13_0))|~in(ordered_pair(esk10_0,esk11_0),esk13_0)),inference(cn,[status(thm)],[505,theory(equality)])).
% cnf(540,negated_conjecture,(in(ordered_pair(ordered_pair(esk10_0,esk10_0),ordered_pair(esk10_0,esk10_0)),X1)|identity_relation(X2)!=X1|~relation(X1)|identity_relation(esk12_0)!=X2|~relation(X2)),inference(spm,[status(thm)],[56,485,theory(equality)])).
% cnf(625,negated_conjecture,(in(ordered_pair(ordered_pair(esk10_0,esk10_0),ordered_pair(esk10_0,esk10_0)),X1)|identity_relation(identity_relation(esk12_0))!=X1|~relation(X1)|~relation(identity_relation(esk12_0))),inference(er,[status(thm)],[540,theory(equality)])).
% cnf(626,negated_conjecture,(in(ordered_pair(ordered_pair(esk10_0,esk10_0),ordered_pair(esk10_0,esk10_0)),X1)|identity_relation(identity_relation(esk12_0))!=X1|~relation(X1)|$false),inference(rw,[status(thm)],[625,41,theory(equality)])).
% cnf(627,negated_conjecture,(in(ordered_pair(ordered_pair(esk10_0,esk10_0),ordered_pair(esk10_0,esk10_0)),X1)|identity_relation(identity_relation(esk12_0))!=X1|~relation(X1)),inference(cn,[status(thm)],[626,theory(equality)])).
% cnf(646,negated_conjecture,(in(ordered_pair(esk10_0,esk10_0),X1)|identity_relation(X1)!=X2|~relation(X2)|identity_relation(identity_relation(esk12_0))!=X2),inference(spm,[status(thm)],[39,627,theory(equality)])).
% cnf(669,negated_conjecture,(in(ordered_pair(esk10_0,esk10_0),X1)|identity_relation(X1)!=identity_relation(identity_relation(esk12_0))|~relation(identity_relation(identity_relation(esk12_0)))),inference(er,[status(thm)],[646,theory(equality)])).
% cnf(670,negated_conjecture,(in(ordered_pair(esk10_0,esk10_0),X1)|identity_relation(X1)!=identity_relation(identity_relation(esk12_0))|$false),inference(rw,[status(thm)],[669,41,theory(equality)])).
% cnf(671,negated_conjecture,(in(ordered_pair(esk10_0,esk10_0),X1)|identity_relation(X1)!=identity_relation(identity_relation(esk12_0))),inference(cn,[status(thm)],[670,theory(equality)])).
% cnf(672,negated_conjecture,(in(ordered_pair(esk10_0,esk10_0),identity_relation(esk12_0))),inference(er,[status(thm)],[671,theory(equality)])).
% cnf(1387,plain,(in(ordered_pair(X4,X5),X2)|relation_composition(identity_relation(X1),X2)!=X3|~in(ordered_pair(X4,X5),X3)|~relation(X3)|~relation(X2)|~relation(identity_relation(X1))),inference(spm,[status(thm)],[23,477,theory(equality)])).
% cnf(1403,plain,(in(ordered_pair(X4,X5),X2)|relation_composition(identity_relation(X1),X2)!=X3|~in(ordered_pair(X4,X5),X3)|~relation(X3)|~relation(X2)|$false),inference(rw,[status(thm)],[1387,41,theory(equality)])).
% cnf(1404,plain,(in(ordered_pair(X4,X5),X2)|relation_composition(identity_relation(X1),X2)!=X3|~in(ordered_pair(X4,X5),X3)|~relation(X3)|~relation(X2)),inference(cn,[status(thm)],[1403,theory(equality)])).
% cnf(1522,negated_conjecture,(in(ordered_pair(esk10_0,esk11_0),X1)|in(ordered_pair(esk10_0,esk11_0),esk13_0)|relation_composition(identity_relation(X2),X1)!=relation_composition(identity_relation(esk12_0),esk13_0)|~relation(relation_composition(identity_relation(esk12_0),esk13_0))|~relation(X1)),inference(spm,[status(thm)],[1404,52,theory(equality)])).
% cnf(1664,negated_conjecture,(in(ordered_pair(esk10_0,esk11_0),esk13_0)|in(ordered_pair(esk10_0,esk11_0),X1)|relation_composition(identity_relation(X2),X1)!=relation_composition(identity_relation(esk12_0),esk13_0)|~relation(X1)|~relation(esk13_0)|~relation(identity_relation(esk12_0))),inference(spm,[status(thm)],[1522,44,theory(equality)])).
% cnf(1665,negated_conjecture,(in(ordered_pair(esk10_0,esk11_0),esk13_0)|in(ordered_pair(esk10_0,esk11_0),X1)|relation_composition(identity_relation(X2),X1)!=relation_composition(identity_relation(esk12_0),esk13_0)|~relation(X1)|$false|~relation(identity_relation(esk12_0))),inference(rw,[status(thm)],[1664,55,theory(equality)])).
% cnf(1666,negated_conjecture,(in(ordered_pair(esk10_0,esk11_0),esk13_0)|in(ordered_pair(esk10_0,esk11_0),X1)|relation_composition(identity_relation(X2),X1)!=relation_composition(identity_relation(esk12_0),esk13_0)|~relation(X1)|$false|$false),inference(rw,[status(thm)],[1665,41,theory(equality)])).
% cnf(1667,negated_conjecture,(in(ordered_pair(esk10_0,esk11_0),esk13_0)|in(ordered_pair(esk10_0,esk11_0),X1)|relation_composition(identity_relation(X2),X1)!=relation_composition(identity_relation(esk12_0),esk13_0)|~relation(X1)),inference(cn,[status(thm)],[1666,theory(equality)])).
% cnf(1726,negated_conjecture,(in(ordered_pair(esk10_0,esk11_0),esk13_0)|~relation(esk13_0)),inference(er,[status(thm)],[1667,theory(equality)])).
% cnf(1727,negated_conjecture,(in(ordered_pair(esk10_0,esk11_0),esk13_0)|$false),inference(rw,[status(thm)],[1726,55,theory(equality)])).
% cnf(1728,negated_conjecture,(in(ordered_pair(esk10_0,esk11_0),esk13_0)),inference(cn,[status(thm)],[1727,theory(equality)])).
% cnf(1737,negated_conjecture,(in(ordered_pair(X1,esk11_0),X2)|relation_composition(X3,esk13_0)!=X2|~in(ordered_pair(X1,esk10_0),X3)|~relation(X2)|~relation(esk13_0)|~relation(X3)),inference(spm,[status(thm)],[25,1728,theory(equality)])).
% cnf(1775,negated_conjecture,(~in(ordered_pair(esk10_0,esk11_0),relation_composition(identity_relation(esk12_0),esk13_0))|$false),inference(rw,[status(thm)],[506,1728,theory(equality)])).
% cnf(1776,negated_conjecture,(~in(ordered_pair(esk10_0,esk11_0),relation_composition(identity_relation(esk12_0),esk13_0))),inference(cn,[status(thm)],[1775,theory(equality)])).
% cnf(1790,negated_conjecture,(in(ordered_pair(X1,esk11_0),X2)|relation_composition(X3,esk13_0)!=X2|~in(ordered_pair(X1,esk10_0),X3)|~relation(X2)|$false|~relation(X3)),inference(rw,[status(thm)],[1737,55,theory(equality)])).
% cnf(1791,negated_conjecture,(in(ordered_pair(X1,esk11_0),X2)|relation_composition(X3,esk13_0)!=X2|~in(ordered_pair(X1,esk10_0),X3)|~relation(X2)|~relation(X3)),inference(cn,[status(thm)],[1790,theory(equality)])).
% cnf(2108,negated_conjecture,(in(ordered_pair(esk10_0,esk11_0),X1)|relation_composition(identity_relation(esk12_0),esk13_0)!=X1|~relation(X1)|~relation(identity_relation(esk12_0))),inference(spm,[status(thm)],[1791,672,theory(equality)])).
% cnf(2119,negated_conjecture,(in(ordered_pair(esk10_0,esk11_0),X1)|relation_composition(identity_relation(esk12_0),esk13_0)!=X1|~relation(X1)|$false),inference(rw,[status(thm)],[2108,41,theory(equality)])).
% cnf(2120,negated_conjecture,(in(ordered_pair(esk10_0,esk11_0),X1)|relation_composition(identity_relation(esk12_0),esk13_0)!=X1|~relation(X1)),inference(cn,[status(thm)],[2119,theory(equality)])).
% cnf(2121,negated_conjecture,(in(ordered_pair(esk10_0,esk11_0),relation_composition(identity_relation(esk12_0),esk13_0))|~relation(relation_composition(identity_relation(esk12_0),esk13_0))),inference(er,[status(thm)],[2120,theory(equality)])).
% cnf(2122,negated_conjecture,(~relation(relation_composition(identity_relation(esk12_0),esk13_0))),inference(sr,[status(thm)],[2121,1776,theory(equality)])).
% cnf(2123,negated_conjecture,(~relation(esk13_0)|~relation(identity_relation(esk12_0))),inference(spm,[status(thm)],[2122,44,theory(equality)])).
% cnf(2124,negated_conjecture,($false|~relation(identity_relation(esk12_0))),inference(rw,[status(thm)],[2123,55,theory(equality)])).
% cnf(2125,negated_conjecture,($false|$false),inference(rw,[status(thm)],[2124,41,theory(equality)])).
% cnf(2126,negated_conjecture,($false),inference(cn,[status(thm)],[2125,theory(equality)])).
% cnf(2127,negated_conjecture,($false),2126,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 530
% # ...of these trivial                : 0
% # ...subsumed                        : 139
% # ...remaining for further processing: 391
% # Other redundant clauses eliminated : 1
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 20
% # Backward-rewritten                 : 52
% # Generated clauses                  : 1478
% # ...of the previous two non-trivial : 1465
% # Contextual simplify-reflections    : 112
% # Paramodulations                    : 1378
% # Factorizations                     : 2
% # Equation resolutions               : 85
% # Current number of processed clauses: 290
% #    Positive orientable unit clauses: 5
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 8
% #    Non-unit-clauses                : 277
% # Current number of unprocessed clauses: 822
% # ...number of literals in the above : 6118
% # Clause-clause subsumption calls (NU) : 14624
% # Rec. Clause-clause subsumption calls : 2356
% # Unit Clause-clause subsumption calls : 155
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 2
% # Indexed BW rewrite successes       : 2
% # Backwards rewriting index:   243 leaves,   1.72+/-1.710 terms/leaf
% # Paramod-from index:           35 leaves,   1.37+/-0.897 terms/leaf
% # Paramod-into index:          195 leaves,   1.46+/-1.110 terms/leaf
% # -------------------------------------------------
% # User time              : 0.170 s
% # System time            : 0.008 s
% # Total time             : 0.178 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.33 CPU 0.40 WC
% FINAL PrfWatch: 0.33 CPU 0.40 WC
% SZS output end Solution for /tmp/SystemOnTPTP26947/SEU191+2.tptp
% 
%------------------------------------------------------------------------------