%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SEU216+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 01:56:56 EST 2010

% Result   : Theorem 99.97s
% Output   : Solution 101.08s
% 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/SystemOnTPTP9956/SEU216+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% not found
% Adding ~C to TBU       ... ~t34_funct_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_k6_relat_1:
%  CSA axiom dt_k6_relat_1 found
% Looking for CSA axiom ... fc2_funct_1:
%  CSA axiom fc2_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:
% t2_tarski:
%  CSA axiom t2_tarski found
% Looking for CSA axiom ... t22_funct_1:
%  CSA axiom t22_funct_1 found
% Looking for CSA axiom ... t23_funct_1:
%  CSA axiom t23_funct_1 found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... rc1_funct_1:
% t8_funct_1:
%  CSA axiom t8_funct_1 found
% Looking for CSA axiom ... t21_funct_1:
%  CSA axiom t21_funct_1 found
% Looking for CSA axiom ... d10_relat_1:
%  CSA axiom d10_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   ... :d10_relat_1:t21_funct_1:t8_funct_1:t23_funct_1:t22_funct_1:t2_tarski:fc2_funct_1:dt_k6_relat_1:antisymmetry_r2_hidden (9)
% Unselected axioms are ... :rc1_funct_1:d4_relat_1:d4_funct_1:t71_relat_1:t86_relat_1:d1_relat_1:d2_relat_1:fc1_funct_1:fc5_relat_1:fc7_relat_1:d1_xboole_0:d1_tarski:d2_xboole_0:d3_xboole_0:d4_xboole_0:d2_tarski:d4_tarski:involutiveness_k4_relat_1:t20_relat_1:t74_relat_1:t143_relat_1:t64_relat_1:t65_relat_1:t94_relat_1:cc1_funct_1:t145_relat_1:t146_relat_1:t37_relat_1:t90_relat_1:d5_relat_1:d8_relat_1:t56_relat_1:d11_relat_1:d12_relat_1:d13_relat_1:d14_relat_1:d7_relat_1:commutativity_k2_tarski:commutativity_k2_xboole_0:commutativity_k3_xboole_0:dt_k5_relat_1:dt_k7_relat_1:existence_m1_subset_1:idempotence_k2_xboole_0:idempotence_k3_xboole_0:rc1_xboole_0:rc2_xboole_0:t10_zfmisc_1:t33_zfmisc_1:d3_tarski:t25_relat_1:t167_relat_1:t1_subset:t46_relat_1:t47_relat_1:t7_boole:d1_zfmisc_1:cc1_relat_1:d10_xboole_0:d6_relat_1:rc1_relat_1:rc2_relat_1:fc1_relat_1:fc2_relat_1:t115_relat_1:t3_xboole_0:dt_k8_relat_1:l23_zfmisc_1:t46_zfmisc_1:t65_zfmisc_1:dt_k4_relat_1:rc3_relat_1:t140_relat_1:t144_relat_1:t166_relat_1:t44_relat_1:d3_relat_1:d4_subset_1:t60_relat_1:t30_relat_1:d1_setfam_1:d2_zfmisc_1:l2_zfmisc_1:l50_zfmisc_1:t117_relat_1:t178_relat_1:t37_zfmisc_1:t38_zfmisc_1:t88_relat_1:t92_zfmisc_1:antisymmetry_r2_xboole_0:irreflexivity_r2_xboole_0:reflexivity_r1_tarski:symmetry_r1_xboole_0:t12_xboole_1:t1_xboole_1:t28_xboole_1:t3_subset:t3_xboole_1:t6_zfmisc_1:d2_subset_1:fc10_relat_1:fc4_relat_1:fc6_relat_1:fc8_relat_1:fc9_relat_1:l3_subset_1:l71_subset_1:t174_relat_1:t2_subset:t4_subset:t99_zfmisc_1:l1_zfmisc_1:l25_zfmisc_1:l28_zfmisc_1:l55_zfmisc_1:t106_zfmisc_1:t39_xboole_1:t40_xboole_1:t48_xboole_1:t4_xboole_0:t6_boole:t1_boole:t2_boole:t3_boole:t4_boole:t69_enumset1:t83_xboole_1:t8_boole:t8_zfmisc_1:t9_tarski:t9_zfmisc_1:d8_xboole_0:t21_relat_1:t17_xboole_1:t19_xboole_1:t26_xboole_1:t160_relat_1:t2_xboole_1:t33_xboole_1:t36_xboole_1:t7_xboole_1:t8_xboole_1:fc2_subset_1:fc2_xboole_0:fc3_subset_1:fc3_xboole_0:t119_relat_1:dt_k5_setfam_1:fc1_subset_1:fc1_xboole_0:fc1_zfmisc_1:l3_zfmisc_1:t116_relat_1:t118_relat_1:d7_xboole_0:fc12_relat_1:fc4_subset_1:l4_zfmisc_1:t39_zfmisc_1:t45_relat_1:t5_subset:t99_relat_1:d5_tarski:l32_xboole_1:t1_zfmisc_1:t37_xboole_1:t45_xboole_1:t54_subset_1:d8_setfam_1:involutiveness_k3_subset_1:involutiveness_k7_setfam_1:rc1_subset_1:rc2_subset_1:t118_zfmisc_1:t119_zfmisc_1:t136_zfmisc_1:t50_subset_1:t60_xboole_1:t63_xboole_1:redefinition_k5_setfam_1:d5_subset_1:dt_k2_subset_1:redefinition_k6_subset_1:t43_subset_1:redefinition_k6_setfam_1:t46_setfam_1:dt_k3_subset_1:dt_k6_setfam_1:dt_k6_subset_1:dt_k7_setfam_1:t47_setfam_1:t48_setfam_1:dt_k10_relat_1:dt_k1_funct_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_k9_relat_1:dt_m1_subset_1 (211)
% SZS status THM for /tmp/SystemOnTPTP9956/SEU216+2.tptp
% Looking for THM       ... 
% found
% SZS output start Solution for /tmp/SystemOnTPTP9956/SEU216+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 12094
% 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)=>(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(3, axiom,![X1]:![X2]:![X3]:((relation(X3)&function(X3))=>(in(ordered_pair(X1,X2),X3)<=>(in(X1,relation_dom(X3))&X2=apply(X3,X1)))),file('/tmp/SRASS.s.p', t8_funct_1)).
% fof(6, axiom,![X1]:![X2]:(![X3]:(in(X3,X1)<=>in(X3,X2))=>X1=X2),file('/tmp/SRASS.s.p', t2_tarski)).
% fof(7, axiom,![X1]:(relation(identity_relation(X1))&function(identity_relation(X1))),file('/tmp/SRASS.s.p', fc2_funct_1)).
% fof(10, conjecture,![X1]:![X2]:((relation(X2)&function(X2))=>(X2=identity_relation(X1)<=>(relation_dom(X2)=X1&![X3]:(in(X3,X1)=>apply(X2,X3)=X3)))),file('/tmp/SRASS.s.p', t34_funct_1)).
% fof(11, negated_conjecture,~(![X1]:![X2]:((relation(X2)&function(X2))=>(X2=identity_relation(X1)<=>(relation_dom(X2)=X1&![X3]:(in(X3,X1)=>apply(X2,X3)=X3))))),inference(assume_negation,[status(cth)],[10])).
% fof(13, 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)],[1])).
% fof(14, 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)],[13])).
% fof(15, 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(esk1_2(X5,X6),esk2_2(X5,X6)),X6))|(~(in(esk1_2(X5,X6),X5))|~(esk1_2(X5,X6)=esk2_2(X5,X6))))&(in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X6)|(in(esk1_2(X5,X6),X5)&esk1_2(X5,X6)=esk2_2(X5,X6))))|X6=identity_relation(X5)))),inference(skolemize,[status(esa)],[14])).
% fof(16, 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(esk1_2(X5,X6),esk2_2(X5,X6)),X6))|(~(in(esk1_2(X5,X6),X5))|~(esk1_2(X5,X6)=esk2_2(X5,X6))))&(in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X6)|(in(esk1_2(X5,X6),X5)&esk1_2(X5,X6)=esk2_2(X5,X6))))|X6=identity_relation(X5)))|~(relation(X6))),inference(shift_quantors,[status(thm)],[15])).
% fof(17, 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(esk1_2(X5,X6),esk2_2(X5,X6)),X6))|(~(in(esk1_2(X5,X6),X5))|~(esk1_2(X5,X6)=esk2_2(X5,X6))))|X6=identity_relation(X5))|~(relation(X6)))&((((in(esk1_2(X5,X6),X5)|in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X6))|X6=identity_relation(X5))|~(relation(X6)))&(((esk1_2(X5,X6)=esk2_2(X5,X6)|in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X6))|X6=identity_relation(X5))|~(relation(X6)))))),inference(distribute,[status(thm)],[16])).
% cnf(18,plain,(X1=identity_relation(X2)|in(ordered_pair(esk1_2(X2,X1),esk2_2(X2,X1)),X1)|esk1_2(X2,X1)=esk2_2(X2,X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[17])).
% cnf(19,plain,(X1=identity_relation(X2)|in(ordered_pair(esk1_2(X2,X1),esk2_2(X2,X1)),X1)|in(esk1_2(X2,X1),X2)|~relation(X1)),inference(split_conjunct,[status(thm)],[17])).
% cnf(20,plain,(X1=identity_relation(X2)|~relation(X1)|esk1_2(X2,X1)!=esk2_2(X2,X1)|~in(esk1_2(X2,X1),X2)|~in(ordered_pair(esk1_2(X2,X1),esk2_2(X2,X1)),X1)),inference(split_conjunct,[status(thm)],[17])).
% cnf(21,plain,(in(ordered_pair(X3,X4),X1)|~relation(X1)|X1!=identity_relation(X2)|X3!=X4|~in(X3,X2)),inference(split_conjunct,[status(thm)],[17])).
% cnf(22,plain,(X3=X4|~relation(X1)|X1!=identity_relation(X2)|~in(ordered_pair(X3,X4),X1)),inference(split_conjunct,[status(thm)],[17])).
% cnf(23,plain,(in(X3,X2)|~relation(X1)|X1!=identity_relation(X2)|~in(ordered_pair(X3,X4),X1)),inference(split_conjunct,[status(thm)],[17])).
% fof(31, plain,![X1]:![X2]:![X3]:((~(relation(X3))|~(function(X3)))|((~(in(ordered_pair(X1,X2),X3))|(in(X1,relation_dom(X3))&X2=apply(X3,X1)))&((~(in(X1,relation_dom(X3)))|~(X2=apply(X3,X1)))|in(ordered_pair(X1,X2),X3)))),inference(fof_nnf,[status(thm)],[3])).
% fof(32, plain,![X4]:![X5]:![X6]:((~(relation(X6))|~(function(X6)))|((~(in(ordered_pair(X4,X5),X6))|(in(X4,relation_dom(X6))&X5=apply(X6,X4)))&((~(in(X4,relation_dom(X6)))|~(X5=apply(X6,X4)))|in(ordered_pair(X4,X5),X6)))),inference(variable_rename,[status(thm)],[31])).
% fof(33, plain,![X4]:![X5]:![X6]:((((in(X4,relation_dom(X6))|~(in(ordered_pair(X4,X5),X6)))|(~(relation(X6))|~(function(X6))))&((X5=apply(X6,X4)|~(in(ordered_pair(X4,X5),X6)))|(~(relation(X6))|~(function(X6)))))&(((~(in(X4,relation_dom(X6)))|~(X5=apply(X6,X4)))|in(ordered_pair(X4,X5),X6))|(~(relation(X6))|~(function(X6))))),inference(distribute,[status(thm)],[32])).
% cnf(34,plain,(in(ordered_pair(X2,X3),X1)|~function(X1)|~relation(X1)|X3!=apply(X1,X2)|~in(X2,relation_dom(X1))),inference(split_conjunct,[status(thm)],[33])).
% cnf(35,plain,(X3=apply(X1,X2)|~function(X1)|~relation(X1)|~in(ordered_pair(X2,X3),X1)),inference(split_conjunct,[status(thm)],[33])).
% cnf(36,plain,(in(X2,relation_dom(X1))|~function(X1)|~relation(X1)|~in(ordered_pair(X2,X3),X1)),inference(split_conjunct,[status(thm)],[33])).
% fof(45, plain,![X1]:![X2]:(?[X3]:((~(in(X3,X1))|~(in(X3,X2)))&(in(X3,X1)|in(X3,X2)))|X1=X2),inference(fof_nnf,[status(thm)],[6])).
% fof(46, plain,![X4]:![X5]:(?[X6]:((~(in(X6,X4))|~(in(X6,X5)))&(in(X6,X4)|in(X6,X5)))|X4=X5),inference(variable_rename,[status(thm)],[45])).
% fof(47, plain,![X4]:![X5]:(((~(in(esk3_2(X4,X5),X4))|~(in(esk3_2(X4,X5),X5)))&(in(esk3_2(X4,X5),X4)|in(esk3_2(X4,X5),X5)))|X4=X5),inference(skolemize,[status(esa)],[46])).
% fof(48, plain,![X4]:![X5]:(((~(in(esk3_2(X4,X5),X4))|~(in(esk3_2(X4,X5),X5)))|X4=X5)&((in(esk3_2(X4,X5),X4)|in(esk3_2(X4,X5),X5))|X4=X5)),inference(distribute,[status(thm)],[47])).
% cnf(49,plain,(X1=X2|in(esk3_2(X1,X2),X2)|in(esk3_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[48])).
% cnf(50,plain,(X1=X2|~in(esk3_2(X1,X2),X2)|~in(esk3_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[48])).
% fof(51, plain,![X2]:(relation(identity_relation(X2))&function(identity_relation(X2))),inference(variable_rename,[status(thm)],[7])).
% cnf(52,plain,(function(identity_relation(X1))),inference(split_conjunct,[status(thm)],[51])).
% cnf(53,plain,(relation(identity_relation(X1))),inference(split_conjunct,[status(thm)],[51])).
% fof(59, negated_conjecture,?[X1]:?[X2]:((relation(X2)&function(X2))&((~(X2=identity_relation(X1))|(~(relation_dom(X2)=X1)|?[X3]:(in(X3,X1)&~(apply(X2,X3)=X3))))&(X2=identity_relation(X1)|(relation_dom(X2)=X1&![X3]:(~(in(X3,X1))|apply(X2,X3)=X3))))),inference(fof_nnf,[status(thm)],[11])).
% fof(60, negated_conjecture,?[X4]:?[X5]:((relation(X5)&function(X5))&((~(X5=identity_relation(X4))|(~(relation_dom(X5)=X4)|?[X6]:(in(X6,X4)&~(apply(X5,X6)=X6))))&(X5=identity_relation(X4)|(relation_dom(X5)=X4&![X7]:(~(in(X7,X4))|apply(X5,X7)=X7))))),inference(variable_rename,[status(thm)],[59])).
% fof(61, negated_conjecture,((relation(esk5_0)&function(esk5_0))&((~(esk5_0=identity_relation(esk4_0))|(~(relation_dom(esk5_0)=esk4_0)|(in(esk6_0,esk4_0)&~(apply(esk5_0,esk6_0)=esk6_0))))&(esk5_0=identity_relation(esk4_0)|(relation_dom(esk5_0)=esk4_0&![X7]:(~(in(X7,esk4_0))|apply(esk5_0,X7)=X7))))),inference(skolemize,[status(esa)],[60])).
% fof(62, negated_conjecture,![X7]:(((((~(in(X7,esk4_0))|apply(esk5_0,X7)=X7)&relation_dom(esk5_0)=esk4_0)|esk5_0=identity_relation(esk4_0))&(~(esk5_0=identity_relation(esk4_0))|(~(relation_dom(esk5_0)=esk4_0)|(in(esk6_0,esk4_0)&~(apply(esk5_0,esk6_0)=esk6_0)))))&(relation(esk5_0)&function(esk5_0))),inference(shift_quantors,[status(thm)],[61])).
% fof(63, negated_conjecture,![X7]:(((((~(in(X7,esk4_0))|apply(esk5_0,X7)=X7)|esk5_0=identity_relation(esk4_0))&(relation_dom(esk5_0)=esk4_0|esk5_0=identity_relation(esk4_0)))&(((in(esk6_0,esk4_0)|~(relation_dom(esk5_0)=esk4_0))|~(esk5_0=identity_relation(esk4_0)))&((~(apply(esk5_0,esk6_0)=esk6_0)|~(relation_dom(esk5_0)=esk4_0))|~(esk5_0=identity_relation(esk4_0)))))&(relation(esk5_0)&function(esk5_0))),inference(distribute,[status(thm)],[62])).
% cnf(64,negated_conjecture,(function(esk5_0)),inference(split_conjunct,[status(thm)],[63])).
% cnf(65,negated_conjecture,(relation(esk5_0)),inference(split_conjunct,[status(thm)],[63])).
% cnf(66,negated_conjecture,(esk5_0!=identity_relation(esk4_0)|relation_dom(esk5_0)!=esk4_0|apply(esk5_0,esk6_0)!=esk6_0),inference(split_conjunct,[status(thm)],[63])).
% cnf(67,negated_conjecture,(in(esk6_0,esk4_0)|esk5_0!=identity_relation(esk4_0)|relation_dom(esk5_0)!=esk4_0),inference(split_conjunct,[status(thm)],[63])).
% cnf(68,negated_conjecture,(esk5_0=identity_relation(esk4_0)|relation_dom(esk5_0)=esk4_0),inference(split_conjunct,[status(thm)],[63])).
% cnf(69,negated_conjecture,(esk5_0=identity_relation(esk4_0)|apply(esk5_0,X1)=X1|~in(X1,esk4_0)),inference(split_conjunct,[status(thm)],[63])).
% cnf(71,plain,(in(ordered_pair(X1,X1),X2)|identity_relation(X3)!=X2|~in(X1,X3)|~relation(X2)),inference(er,[status(thm)],[21,theory(equality)])).
% cnf(80,plain,(in(ordered_pair(ordered_pair(X1,X2),ordered_pair(X1,X2)),X3)|identity_relation(X4)!=X3|~relation(X3)|apply(X4,X1)!=X2|~function(X4)|~in(X1,relation_dom(X4))|~relation(X4)),inference(spm,[status(thm)],[71,34,theory(equality)])).
% cnf(82,plain,(X1=X2|identity_relation(X3)!=X4|~relation(X4)|apply(X4,X1)!=X2|~function(X4)|~in(X1,relation_dom(X4))),inference(spm,[status(thm)],[22,34,theory(equality)])).
% cnf(84,plain,(in(X1,X2)|identity_relation(X2)!=X3|~relation(X3)|apply(X3,X1)!=X4|~function(X3)|~in(X1,relation_dom(X3))),inference(spm,[status(thm)],[23,34,theory(equality)])).
% cnf(89,plain,(in(ordered_pair(esk3_2(X1,X2),esk3_2(X1,X2)),X3)|X1=X2|in(esk3_2(X1,X2),X2)|identity_relation(X1)!=X3|~relation(X3)),inference(spm,[status(thm)],[71,49,theory(equality)])).
% cnf(112,plain,(in(esk1_2(X1,X2),relation_dom(X2))|identity_relation(X1)=X2|in(esk1_2(X1,X2),X1)|~function(X2)|~relation(X2)),inference(spm,[status(thm)],[36,19,theory(equality)])).
% cnf(118,plain,(apply(X1,esk1_2(X2,X1))=esk2_2(X2,X1)|esk2_2(X2,X1)=esk1_2(X2,X1)|identity_relation(X2)=X1|~function(X1)|~relation(X1)),inference(spm,[status(thm)],[35,18,theory(equality)])).
% cnf(120,plain,(in(esk1_2(X1,X2),relation_dom(X2))|esk2_2(X1,X2)=esk1_2(X1,X2)|identity_relation(X1)=X2|~function(X2)|~relation(X2)),inference(spm,[status(thm)],[36,18,theory(equality)])).
% cnf(136,plain,(X1=apply(X2,X1)|identity_relation(X3)!=X2|~function(X2)|~in(X1,relation_dom(X2))|~relation(X2)),inference(er,[status(thm)],[82,theory(equality)])).
% cnf(143,plain,(apply(identity_relation(X1),X2)=X2|~function(identity_relation(X1))|~in(X2,relation_dom(identity_relation(X1)))|~relation(identity_relation(X1))),inference(er,[status(thm)],[136,theory(equality)])).
% cnf(145,plain,(apply(identity_relation(X1),X2)=X2|$false|~in(X2,relation_dom(identity_relation(X1)))|~relation(identity_relation(X1))),inference(rw,[status(thm)],[143,52,theory(equality)])).
% cnf(146,plain,(apply(identity_relation(X1),X2)=X2|$false|~in(X2,relation_dom(identity_relation(X1)))|$false),inference(rw,[status(thm)],[145,53,theory(equality)])).
% cnf(147,plain,(apply(identity_relation(X1),X2)=X2|~in(X2,relation_dom(identity_relation(X1)))),inference(cn,[status(thm)],[146,theory(equality)])).
% cnf(149,negated_conjecture,(apply(esk5_0,X1)=X1|relation_dom(esk5_0)=esk4_0|~in(X1,relation_dom(esk5_0))),inference(spm,[status(thm)],[147,68,theory(equality)])).
% cnf(159,negated_conjecture,(in(ordered_pair(ordered_pair(X1,X2),ordered_pair(X1,X2)),X3)|identity_relation(esk4_0)=esk5_0|X1!=X2|identity_relation(esk5_0)!=X3|~function(esk5_0)|~in(X1,relation_dom(esk5_0))|~relation(X3)|~relation(esk5_0)|~in(X1,esk4_0)),inference(spm,[status(thm)],[80,69,theory(equality)])).
% cnf(164,negated_conjecture,(in(ordered_pair(ordered_pair(X1,X2),ordered_pair(X1,X2)),X3)|identity_relation(esk4_0)=esk5_0|X1!=X2|identity_relation(esk5_0)!=X3|$false|~in(X1,relation_dom(esk5_0))|~relation(X3)|~relation(esk5_0)|~in(X1,esk4_0)),inference(rw,[status(thm)],[159,64,theory(equality)])).
% cnf(165,negated_conjecture,(in(ordered_pair(ordered_pair(X1,X2),ordered_pair(X1,X2)),X3)|identity_relation(esk4_0)=esk5_0|X1!=X2|identity_relation(esk5_0)!=X3|$false|~in(X1,relation_dom(esk5_0))|~relation(X3)|$false|~in(X1,esk4_0)),inference(rw,[status(thm)],[164,65,theory(equality)])).
% cnf(166,negated_conjecture,(in(ordered_pair(ordered_pair(X1,X2),ordered_pair(X1,X2)),X3)|identity_relation(esk4_0)=esk5_0|X1!=X2|identity_relation(esk5_0)!=X3|~in(X1,relation_dom(esk5_0))|~relation(X3)|~in(X1,esk4_0)),inference(cn,[status(thm)],[165,theory(equality)])).
% cnf(167,negated_conjecture,(in(ordered_pair(ordered_pair(X1,X1),ordered_pair(X1,X1)),X2)|identity_relation(esk4_0)=esk5_0|identity_relation(esk5_0)!=X2|~in(X1,relation_dom(esk5_0))|~relation(X2)|~in(X1,esk4_0)),inference(er,[status(thm)],[166,theory(equality)])).
% cnf(197,negated_conjecture,(in(X1,X2)|relation_dom(esk5_0)=esk4_0|X1!=X3|identity_relation(X2)!=esk5_0|~function(esk5_0)|~in(X1,relation_dom(esk5_0))|~relation(esk5_0)),inference(spm,[status(thm)],[84,149,theory(equality)])).
% cnf(200,plain,(in(X1,X2)|X1!=X4|identity_relation(X2)!=identity_relation(X3)|~function(identity_relation(X3))|~in(X1,relation_dom(identity_relation(X3)))|~relation(identity_relation(X3))),inference(spm,[status(thm)],[84,147,theory(equality)])).
% cnf(206,negated_conjecture,(in(X1,X2)|relation_dom(esk5_0)=esk4_0|X1!=X3|identity_relation(X2)!=esk5_0|$false|~in(X1,relation_dom(esk5_0))|~relation(esk5_0)),inference(rw,[status(thm)],[197,64,theory(equality)])).
% cnf(207,negated_conjecture,(in(X1,X2)|relation_dom(esk5_0)=esk4_0|X1!=X3|identity_relation(X2)!=esk5_0|$false|~in(X1,relation_dom(esk5_0))|$false),inference(rw,[status(thm)],[206,65,theory(equality)])).
% cnf(208,negated_conjecture,(in(X1,X2)|relation_dom(esk5_0)=esk4_0|X1!=X3|identity_relation(X2)!=esk5_0|~in(X1,relation_dom(esk5_0))),inference(cn,[status(thm)],[207,theory(equality)])).
% cnf(209,negated_conjecture,(in(X1,X2)|relation_dom(esk5_0)=esk4_0|identity_relation(X2)!=esk5_0|~in(X1,relation_dom(esk5_0))),inference(er,[status(thm)],[208,theory(equality)])).
% cnf(210,plain,(in(X1,X2)|X1!=X4|identity_relation(X2)!=identity_relation(X3)|$false|~in(X1,relation_dom(identity_relation(X3)))|~relation(identity_relation(X3))),inference(rw,[status(thm)],[200,52,theory(equality)])).
% cnf(211,plain,(in(X1,X2)|X1!=X4|identity_relation(X2)!=identity_relation(X3)|$false|~in(X1,relation_dom(identity_relation(X3)))|$false),inference(rw,[status(thm)],[210,53,theory(equality)])).
% cnf(212,plain,(in(X1,X2)|X1!=X4|identity_relation(X2)!=identity_relation(X3)|~in(X1,relation_dom(identity_relation(X3)))),inference(cn,[status(thm)],[211,theory(equality)])).
% cnf(213,plain,(in(X1,X2)|identity_relation(X2)!=identity_relation(X3)|~in(X1,relation_dom(identity_relation(X3)))),inference(er,[status(thm)],[212,theory(equality)])).
% cnf(215,negated_conjecture,(relation_dom(esk5_0)=esk4_0|in(esk3_2(X1,relation_dom(esk5_0)),X2)|X1=relation_dom(esk5_0)|in(esk3_2(X1,relation_dom(esk5_0)),X1)|identity_relation(X2)!=esk5_0),inference(spm,[status(thm)],[209,49,theory(equality)])).
% cnf(221,plain,(in(esk3_2(X1,relation_dom(identity_relation(X2))),X3)|X1=relation_dom(identity_relation(X2))|in(esk3_2(X1,relation_dom(identity_relation(X2))),X1)|identity_relation(X3)!=identity_relation(X2)),inference(spm,[status(thm)],[213,49,theory(equality)])).
% cnf(269,plain,(in(esk3_2(X1,X2),relation_dom(X3))|X1=X2|in(esk3_2(X1,X2),X2)|~function(X3)|~relation(X3)|identity_relation(X1)!=X3),inference(spm,[status(thm)],[36,89,theory(equality)])).
% cnf(333,negated_conjecture,(identity_relation(X1)=esk5_0|in(esk1_2(X1,esk5_0),relation_dom(esk5_0))|in(esk1_2(X1,esk5_0),X1)|~relation(esk5_0)),inference(spm,[status(thm)],[112,64,theory(equality)])).
% cnf(335,negated_conjecture,(identity_relation(X1)=esk5_0|in(esk1_2(X1,esk5_0),relation_dom(esk5_0))|in(esk1_2(X1,esk5_0),X1)|$false),inference(rw,[status(thm)],[333,65,theory(equality)])).
% cnf(336,negated_conjecture,(identity_relation(X1)=esk5_0|in(esk1_2(X1,esk5_0),relation_dom(esk5_0))|in(esk1_2(X1,esk5_0),X1)),inference(cn,[status(thm)],[335,theory(equality)])).
% cnf(348,negated_conjecture,(identity_relation(relation_dom(esk5_0))=esk5_0|in(esk1_2(relation_dom(esk5_0),esk5_0),relation_dom(esk5_0))),inference(ef,[status(thm)],[336,theory(equality)])).
% cnf(1348,negated_conjecture,(relation_dom(esk5_0)=esk4_0|X1=relation_dom(esk5_0)|in(esk3_2(X1,relation_dom(esk5_0)),X1)|in(esk3_2(X1,relation_dom(esk5_0)),esk4_0)),inference(spm,[status(thm)],[215,68,theory(equality)])).
% cnf(1349,negated_conjecture,(relation_dom(esk5_0)=esk4_0|in(esk3_2(esk4_0,relation_dom(esk5_0)),esk4_0)),inference(ef,[status(thm)],[1348,theory(equality)])).
% cnf(1469,negated_conjecture,(in(ordered_pair(esk3_2(esk4_0,relation_dom(esk5_0)),esk3_2(esk4_0,relation_dom(esk5_0))),X1)|relation_dom(esk5_0)=esk4_0|identity_relation(esk4_0)!=X1|~relation(X1)),inference(spm,[status(thm)],[71,1349,theory(equality)])).
% cnf(1501,negated_conjecture,(in(esk3_2(esk4_0,relation_dom(esk5_0)),relation_dom(X1))|relation_dom(esk5_0)=esk4_0|~function(X1)|~relation(X1)|identity_relation(esk4_0)!=X1),inference(spm,[status(thm)],[36,1469,theory(equality)])).
% cnf(1612,negated_conjecture,(esk4_0=relation_dom(esk5_0)|~in(esk3_2(esk4_0,relation_dom(esk5_0)),esk4_0)|identity_relation(esk4_0)!=esk5_0|~function(esk5_0)|~relation(esk5_0)),inference(spm,[status(thm)],[50,1501,theory(equality)])).
% cnf(1625,negated_conjecture,(esk4_0=relation_dom(esk5_0)|~in(esk3_2(esk4_0,relation_dom(esk5_0)),esk4_0)|identity_relation(esk4_0)!=esk5_0|$false|~relation(esk5_0)),inference(rw,[status(thm)],[1612,64,theory(equality)])).
% cnf(1626,negated_conjecture,(esk4_0=relation_dom(esk5_0)|~in(esk3_2(esk4_0,relation_dom(esk5_0)),esk4_0)|identity_relation(esk4_0)!=esk5_0|$false|$false),inference(rw,[status(thm)],[1625,65,theory(equality)])).
% cnf(1627,negated_conjecture,(esk4_0=relation_dom(esk5_0)|~in(esk3_2(esk4_0,relation_dom(esk5_0)),esk4_0)|identity_relation(esk4_0)!=esk5_0),inference(cn,[status(thm)],[1626,theory(equality)])).
% cnf(1628,negated_conjecture,(relation_dom(esk5_0)=esk4_0|~in(esk3_2(esk4_0,relation_dom(esk5_0)),esk4_0)),inference(csr,[status(thm)],[1627,68])).
% cnf(1629,negated_conjecture,(relation_dom(esk5_0)=esk4_0),inference(csr,[status(thm)],[1628,1349])).
% cnf(1633,negated_conjecture,(esk2_2(X1,esk5_0)=esk1_2(X1,esk5_0)|identity_relation(X1)=esk5_0|in(esk1_2(X1,esk5_0),esk4_0)|~function(esk5_0)|~relation(esk5_0)),inference(spm,[status(thm)],[120,1629,theory(equality)])).
% cnf(1750,negated_conjecture,(identity_relation(esk4_0)=esk5_0|in(esk1_2(relation_dom(esk5_0),esk5_0),relation_dom(esk5_0))),inference(rw,[status(thm)],[348,1629,theory(equality)])).
% cnf(1751,negated_conjecture,(identity_relation(esk4_0)=esk5_0|in(esk1_2(esk4_0,esk5_0),esk4_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1750,1629,theory(equality)]),1629,theory(equality)])).
% cnf(1772,negated_conjecture,(apply(esk5_0,esk6_0)!=esk6_0|identity_relation(esk4_0)!=esk5_0|$false),inference(rw,[status(thm)],[66,1629,theory(equality)])).
% cnf(1773,negated_conjecture,(apply(esk5_0,esk6_0)!=esk6_0|identity_relation(esk4_0)!=esk5_0),inference(cn,[status(thm)],[1772,theory(equality)])).
% cnf(1774,negated_conjecture,(in(esk6_0,esk4_0)|identity_relation(esk4_0)!=esk5_0|$false),inference(rw,[status(thm)],[67,1629,theory(equality)])).
% cnf(1775,negated_conjecture,(in(esk6_0,esk4_0)|identity_relation(esk4_0)!=esk5_0),inference(cn,[status(thm)],[1774,theory(equality)])).
% cnf(1786,negated_conjecture,(esk2_2(X1,esk5_0)=esk1_2(X1,esk5_0)|identity_relation(X1)=esk5_0|in(esk1_2(X1,esk5_0),esk4_0)|$false|~relation(esk5_0)),inference(rw,[status(thm)],[1633,64,theory(equality)])).
% cnf(1787,negated_conjecture,(esk2_2(X1,esk5_0)=esk1_2(X1,esk5_0)|identity_relation(X1)=esk5_0|in(esk1_2(X1,esk5_0),esk4_0)|$false|$false),inference(rw,[status(thm)],[1786,65,theory(equality)])).
% cnf(1788,negated_conjecture,(esk2_2(X1,esk5_0)=esk1_2(X1,esk5_0)|identity_relation(X1)=esk5_0|in(esk1_2(X1,esk5_0),esk4_0)),inference(cn,[status(thm)],[1787,theory(equality)])).
% cnf(1847,negated_conjecture,(in(ordered_pair(esk1_2(esk4_0,esk5_0),esk1_2(esk4_0,esk5_0)),X1)|identity_relation(esk4_0)=esk5_0|identity_relation(esk4_0)!=X1|~relation(X1)),inference(spm,[status(thm)],[71,1751,theory(equality)])).
% cnf(1991,negated_conjecture,(identity_relation(esk4_0)=esk5_0|esk2_2(X1,esk5_0)=esk1_2(X1,esk5_0)|identity_relation(X1)=esk5_0|~in(esk1_2(X1,esk5_0),esk4_0)|~function(esk5_0)|~relation(esk5_0)),inference(spm,[status(thm)],[69,118,theory(equality)])).
% cnf(2001,negated_conjecture,(identity_relation(esk4_0)=esk5_0|esk2_2(X1,esk5_0)=esk1_2(X1,esk5_0)|identity_relation(X1)=esk5_0|~in(esk1_2(X1,esk5_0),esk4_0)|$false|~relation(esk5_0)),inference(rw,[status(thm)],[1991,64,theory(equality)])).
% cnf(2002,negated_conjecture,(identity_relation(esk4_0)=esk5_0|esk2_2(X1,esk5_0)=esk1_2(X1,esk5_0)|identity_relation(X1)=esk5_0|~in(esk1_2(X1,esk5_0),esk4_0)|$false|$false),inference(rw,[status(thm)],[2001,65,theory(equality)])).
% cnf(2003,negated_conjecture,(identity_relation(esk4_0)=esk5_0|esk2_2(X1,esk5_0)=esk1_2(X1,esk5_0)|identity_relation(X1)=esk5_0|~in(esk1_2(X1,esk5_0),esk4_0)),inference(cn,[status(thm)],[2002,theory(equality)])).
% cnf(2133,negated_conjecture,(esk2_2(X1,esk5_0)=esk1_2(X1,esk5_0)|identity_relation(esk4_0)=esk5_0|identity_relation(X1)=esk5_0),inference(csr,[status(thm)],[2003,1788])).
% cnf(2135,negated_conjecture,(identity_relation(X1)=esk5_0|identity_relation(esk4_0)=esk5_0|~in(ordered_pair(esk1_2(X1,esk5_0),esk1_2(X1,esk5_0)),esk5_0)|~in(esk1_2(X1,esk5_0),X1)|~relation(esk5_0)),inference(spm,[status(thm)],[20,2133,theory(equality)])).
% cnf(2140,negated_conjecture,(identity_relation(X1)=esk5_0|identity_relation(esk4_0)=esk5_0|~in(ordered_pair(esk1_2(X1,esk5_0),esk1_2(X1,esk5_0)),esk5_0)|~in(esk1_2(X1,esk5_0),X1)|$false),inference(rw,[status(thm)],[2135,65,theory(equality)])).
% cnf(2141,negated_conjecture,(identity_relation(X1)=esk5_0|identity_relation(esk4_0)=esk5_0|~in(ordered_pair(esk1_2(X1,esk5_0),esk1_2(X1,esk5_0)),esk5_0)|~in(esk1_2(X1,esk5_0),X1)),inference(cn,[status(thm)],[2140,theory(equality)])).
% cnf(2472,negated_conjecture,(in(esk1_2(esk4_0,esk5_0),X1)|identity_relation(esk4_0)=esk5_0|identity_relation(X1)!=X2|~relation(X2)|identity_relation(esk4_0)!=X2),inference(spm,[status(thm)],[23,1847,theory(equality)])).
% cnf(2547,negated_conjecture,(identity_relation(esk4_0)=esk5_0|in(esk1_2(esk4_0,esk5_0),X1)|identity_relation(X1)!=identity_relation(esk4_0)|~relation(identity_relation(esk4_0))),inference(er,[status(thm)],[2472,theory(equality)])).
% cnf(2548,negated_conjecture,(identity_relation(esk4_0)=esk5_0|in(esk1_2(esk4_0,esk5_0),X1)|identity_relation(X1)!=identity_relation(esk4_0)|$false),inference(rw,[status(thm)],[2547,53,theory(equality)])).
% cnf(2549,negated_conjecture,(identity_relation(esk4_0)=esk5_0|in(esk1_2(esk4_0,esk5_0),X1)|identity_relation(X1)!=identity_relation(esk4_0)),inference(cn,[status(thm)],[2548,theory(equality)])).
% cnf(3062,negated_conjecture,(in(ordered_pair(ordered_pair(X1,X1),ordered_pair(X1,X1)),X2)|identity_relation(esk4_0)=esk5_0|identity_relation(esk5_0)!=X2|~in(X1,esk4_0)|~relation(X2)|~in(X1,esk4_0)),inference(rw,[status(thm)],[167,1629,theory(equality)])).
% cnf(3063,negated_conjecture,(in(ordered_pair(ordered_pair(X1,X1),ordered_pair(X1,X1)),X2)|identity_relation(esk4_0)=esk5_0|identity_relation(esk5_0)!=X2|~in(X1,esk4_0)|~relation(X2)),inference(cn,[status(thm)],[3062,theory(equality)])).
% cnf(3096,negated_conjecture,(in(ordered_pair(X1,X1),relation_dom(X2))|identity_relation(esk4_0)=esk5_0|~function(X2)|~relation(X2)|identity_relation(esk5_0)!=X2|~in(X1,esk4_0)),inference(spm,[status(thm)],[36,3063,theory(equality)])).
% cnf(3335,plain,(X1=relation_dom(identity_relation(X2))|in(esk3_2(X1,relation_dom(identity_relation(X2))),X1)|in(esk3_2(X1,relation_dom(identity_relation(X2))),X2)),inference(er,[status(thm)],[221,theory(equality)])).
% cnf(3421,plain,(X3=relation_dom(identity_relation(X3))|in(esk3_2(X3,relation_dom(identity_relation(X3))),X3)),inference(ef,[status(thm)],[3335,theory(equality)])).
% cnf(5008,plain,(X1=X2|in(esk3_2(X1,X2),relation_dom(identity_relation(X1)))|in(esk3_2(X1,X2),X2)|~function(identity_relation(X1))|~relation(identity_relation(X1))),inference(er,[status(thm)],[269,theory(equality)])).
% cnf(5009,plain,(X1=X2|in(esk3_2(X1,X2),relation_dom(identity_relation(X1)))|in(esk3_2(X1,X2),X2)|$false|~relation(identity_relation(X1))),inference(rw,[status(thm)],[5008,52,theory(equality)])).
% cnf(5010,plain,(X1=X2|in(esk3_2(X1,X2),relation_dom(identity_relation(X1)))|in(esk3_2(X1,X2),X2)|$false|$false),inference(rw,[status(thm)],[5009,53,theory(equality)])).
% cnf(5011,plain,(X1=X2|in(esk3_2(X1,X2),relation_dom(identity_relation(X1)))|in(esk3_2(X1,X2),X2)),inference(cn,[status(thm)],[5010,theory(equality)])).
% cnf(5062,plain,(X3=relation_dom(identity_relation(X3))|in(esk3_2(X3,relation_dom(identity_relation(X3))),relation_dom(identity_relation(X3)))),inference(ef,[status(thm)],[5011,theory(equality)])).
% cnf(5104,plain,(X1=relation_dom(identity_relation(X1))|~in(esk3_2(X1,relation_dom(identity_relation(X1))),X1)),inference(spm,[status(thm)],[50,5062,theory(equality)])).
% cnf(5108,plain,(relation_dom(identity_relation(X1))=X1),inference(csr,[status(thm)],[5104,3421])).
% cnf(5137,negated_conjecture,(identity_relation(esk4_0)=esk5_0|in(ordered_pair(X1,X1),X2)|identity_relation(esk5_0)!=identity_relation(X2)|~function(identity_relation(X2))|~in(X1,esk4_0)|~relation(identity_relation(X2))),inference(spm,[status(thm)],[3096,5108,theory(equality)])).
% cnf(5246,plain,(apply(identity_relation(X1),X2)=X2|~in(X2,X1)),inference(rw,[status(thm)],[147,5108,theory(equality)])).
% cnf(5379,negated_conjecture,(identity_relation(esk4_0)=esk5_0|in(ordered_pair(X1,X1),X2)|identity_relation(esk5_0)!=identity_relation(X2)|$false|~in(X1,esk4_0)|~relation(identity_relation(X2))),inference(rw,[status(thm)],[5137,52,theory(equality)])).
% cnf(5380,negated_conjecture,(identity_relation(esk4_0)=esk5_0|in(ordered_pair(X1,X1),X2)|identity_relation(esk5_0)!=identity_relation(X2)|$false|~in(X1,esk4_0)|$false),inference(rw,[status(thm)],[5379,53,theory(equality)])).
% cnf(5381,negated_conjecture,(identity_relation(esk4_0)=esk5_0|in(ordered_pair(X1,X1),X2)|identity_relation(esk5_0)!=identity_relation(X2)|~in(X1,esk4_0)),inference(cn,[status(thm)],[5380,theory(equality)])).
% cnf(10736,negated_conjecture,(identity_relation(esk4_0)=esk5_0|identity_relation(X1)=esk5_0|~in(esk1_2(X1,esk5_0),X1)|~in(esk1_2(X1,esk5_0),esk4_0)),inference(spm,[status(thm)],[2141,5381,theory(equality)])).
% cnf(10803,negated_conjecture,(identity_relation(esk4_0)=esk5_0|~in(esk1_2(esk4_0,esk5_0),esk4_0)),inference(spm,[status(thm)],[10736,2549,theory(equality)])).
% cnf(10822,negated_conjecture,(identity_relation(esk4_0)=esk5_0),inference(csr,[status(thm)],[10803,1751])).
% cnf(10825,negated_conjecture,(apply(esk5_0,X1)=X1|~in(X1,esk4_0)),inference(spm,[status(thm)],[5246,10822,theory(equality)])).
% cnf(11120,negated_conjecture,(apply(esk5_0,esk6_0)!=esk6_0|$false),inference(rw,[status(thm)],[1773,10822,theory(equality)])).
% cnf(11121,negated_conjecture,(apply(esk5_0,esk6_0)!=esk6_0),inference(cn,[status(thm)],[11120,theory(equality)])).
% cnf(11122,negated_conjecture,(in(esk6_0,esk4_0)|$false),inference(rw,[status(thm)],[1775,10822,theory(equality)])).
% cnf(11123,negated_conjecture,(in(esk6_0,esk4_0)),inference(cn,[status(thm)],[11122,theory(equality)])).
% cnf(11171,negated_conjecture,(~in(esk6_0,esk4_0)),inference(spm,[status(thm)],[11121,10825,theory(equality)])).
% cnf(11284,negated_conjecture,($false),inference(rw,[status(thm)],[11171,11123,theory(equality)])).
% cnf(11285,negated_conjecture,($false),inference(cn,[status(thm)],[11284,theory(equality)])).
% cnf(11286,negated_conjecture,($false),11285,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 1159
% # ...of these trivial                : 3
% # ...subsumed                        : 593
% # ...remaining for further processing: 563
% # Other redundant clauses eliminated : 101
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 17
% # Backward-rewritten                 : 308
% # Generated clauses                  : 7989
% # ...of the previous two non-trivial : 7689
% # Contextual simplify-reflections    : 948
% # Paramodulations                    : 7816
% # Factorizations                     : 20
% # Equation resolutions               : 153
% # Current number of processed clauses: 212
% #    Positive orientable unit clauses: 8
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 2
% #    Non-unit-clauses                : 202
% # Current number of unprocessed clauses: 1452
% # ...number of literals in the above : 12220
% # Clause-clause subsumption calls (NU) : 18179
% # Rec. Clause-clause subsumption calls : 7143
% # Unit Clause-clause subsumption calls : 31
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 8
% # Indexed BW rewrite successes       : 8
% # Backwards rewriting index:   213 leaves,   2.14+/-1.809 terms/leaf
% # Paramod-from index:           41 leaves,   1.27+/-0.626 terms/leaf
% # Paramod-into index:          141 leaves,   1.73+/-1.419 terms/leaf
% # -------------------------------------------------
% # User time              : 0.614 s
% # System time            : 0.024 s
% # Total time             : 0.638 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.98 CPU 1.44 WC
% FINAL PrfWatch: 0.98 CPU 1.44 WC
% SZS output end Solution for /tmp/SystemOnTPTP9956/SEU216+2.tptp
% 
%------------------------------------------------------------------------------