%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SEU197+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 : art05.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 01:40:43 EST 2010

% Result   : Theorem 84.73s
% Output   : Solution 86.08s
% 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/SystemOnTPTP30521/SEU197+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% not found
% Adding ~C to TBU       ... ~t115_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_k8_relat_1:
%  CSA axiom dt_k8_relat_1 found
% Looking for CSA axiom ... fc6_relat_1:
%  CSA axiom fc6_relat_1 found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... fc8_relat_1:
%  CSA axiom fc8_relat_1 found
% Looking for CSA axiom ... d12_relat_1:
%  CSA axiom d12_relat_1 found
% Looking for CSA axiom ... d5_relat_1:
%  CSA axiom d5_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   ... :d5_relat_1:d12_relat_1:fc8_relat_1:fc6_relat_1:dt_k8_relat_1:antisymmetry_r2_hidden (6)
% Unselected axioms are ... :t20_relat_1:t2_tarski:d1_relat_1:d2_relat_1:existence_m1_subset_1:rc1_xboole_0:rc2_xboole_0:reflexivity_r1_tarski:symmetry_r1_xboole_0:t1_xboole_1:t25_relat_1:t33_zfmisc_1:t45_relat_1:t99_relat_1:d3_tarski:cc1_relat_1:d3_relat_1:rc1_relat_1:rc2_relat_1:t1_subset:fc1_relat_1:fc2_relat_1:t7_boole:dt_k5_relat_1:dt_k6_relat_1:dt_k7_relat_1:t30_relat_1:t86_relat_1:dt_k4_relat_1:t3_xboole_0:t64_relat_1:t65_relat_1:t37_relat_1:t21_relat_1:t56_relat_1:d11_relat_1:d4_relat_1:d8_relat_1:d10_relat_1:d7_relat_1:t44_relat_1:d2_zfmisc_1:antisymmetry_r2_xboole_0:commutativity_k2_tarski:fc4_relat_1:irreflexivity_r2_xboole_0:t10_zfmisc_1:d2_subset_1:fc5_relat_1:fc7_relat_1:l3_subset_1:l71_subset_1:t2_subset:t4_subset:t90_relat_1:commutativity_k2_xboole_0:commutativity_k3_xboole_0:fc10_relat_1:fc9_relat_1:idempotence_k2_xboole_0:idempotence_k3_xboole_0:l2_zfmisc_1:l55_zfmisc_1:t106_zfmisc_1:t37_zfmisc_1:t88_relat_1:d1_xboole_0:l50_zfmisc_1:t38_zfmisc_1:t8_boole:t92_zfmisc_1:t9_tarski:d10_xboole_0:d1_tarski:d2_tarski:d2_xboole_0:d3_xboole_0:d4_xboole_0:involutiveness_k4_relat_1:d4_tarski:t60_relat_1:t74_relat_1:t46_relat_1:t47_relat_1:t71_relat_1:d1_zfmisc_1:d6_relat_1:fc1_zfmisc_1:fc1_subset_1:fc1_xboole_0:t6_boole:fc2_subset_1:fc2_xboole_0:fc3_subset_1:fc3_xboole_0:t5_subset:d1_setfam_1:fc4_subset_1:l23_zfmisc_1:l32_xboole_1:l4_zfmisc_1:t1_zfmisc_1:t2_xboole_1:t33_xboole_1:t36_xboole_1:t37_xboole_1:t39_zfmisc_1:t46_zfmisc_1:t54_subset_1:t65_zfmisc_1:t7_xboole_1:t8_xboole_1:d5_tarski:d7_xboole_0:l3_zfmisc_1:rc1_subset_1:rc2_subset_1:t118_zfmisc_1:t119_zfmisc_1:t12_xboole_1:t136_zfmisc_1:t17_xboole_1:t19_xboole_1:t26_xboole_1:t28_xboole_1:t3_subset:t3_xboole_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:t94_relat_1:l1_zfmisc_1:t1_boole:t2_boole:t3_boole:t43_subset_1:t48_xboole_1:t4_boole:t69_enumset1:t83_xboole_1:t8_zfmisc_1:t9_zfmisc_1:d8_xboole_0:d4_subset_1:involutiveness_k3_subset_1:involutiveness_k7_setfam_1:t46_setfam_1:t47_setfam_1:t48_setfam_1:t50_subset_1:d8_setfam_1:t45_xboole_1:redefinition_k5_setfam_1:redefinition_k6_subset_1:redefinition_k6_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 (183)
% SZS status THM for /tmp/SystemOnTPTP30521/SEU197+2.tptp
% Looking for THM       ... 
% found
% SZS output start Solution for /tmp/SystemOnTPTP30521/SEU197+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 31935
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time     : 0.012 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, 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(2, axiom,![X1]:![X2]:(relation(X2)=>![X3]:(relation(X3)=>(X3=relation_rng_restriction(X1,X2)<=>![X4]:![X5]:(in(ordered_pair(X4,X5),X3)<=>(in(X5,X1)&in(ordered_pair(X4,X5),X2)))))),file('/tmp/SRASS.s.p', d12_relat_1)).
% fof(5, axiom,![X1]:![X2]:(relation(X2)=>relation(relation_rng_restriction(X1,X2))),file('/tmp/SRASS.s.p', dt_k8_relat_1)).
% fof(7, conjecture,![X1]:![X2]:![X3]:(relation(X3)=>(in(X1,relation_rng(relation_rng_restriction(X2,X3)))<=>(in(X1,X2)&in(X1,relation_rng(X3))))),file('/tmp/SRASS.s.p', t115_relat_1)).
% fof(8, negated_conjecture,~(![X1]:![X2]:![X3]:(relation(X3)=>(in(X1,relation_rng(relation_rng_restriction(X2,X3)))<=>(in(X1,X2)&in(X1,relation_rng(X3)))))),inference(assume_negation,[status(cth)],[7])).
% fof(11, 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)],[1])).
% fof(12, 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)],[11])).
% fof(13, plain,![X5]:(~(relation(X5))|![X6]:((~(X6=relation_rng(X5))|![X7]:((~(in(X7,X6))|in(ordered_pair(esk1_3(X5,X6,X7),X7),X5))&(![X9]:~(in(ordered_pair(X9,X7),X5))|in(X7,X6))))&(((~(in(esk2_2(X5,X6),X6))|![X11]:~(in(ordered_pair(X11,esk2_2(X5,X6)),X5)))&(in(esk2_2(X5,X6),X6)|in(ordered_pair(esk3_2(X5,X6),esk2_2(X5,X6)),X5)))|X6=relation_rng(X5)))),inference(skolemize,[status(esa)],[12])).
% fof(14, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(X11,esk2_2(X5,X6)),X5))|~(in(esk2_2(X5,X6),X6)))&(in(esk2_2(X5,X6),X6)|in(ordered_pair(esk3_2(X5,X6),esk2_2(X5,X6)),X5)))|X6=relation_rng(X5))&(((~(in(ordered_pair(X9,X7),X5))|in(X7,X6))&(~(in(X7,X6))|in(ordered_pair(esk1_3(X5,X6,X7),X7),X5)))|~(X6=relation_rng(X5))))|~(relation(X5))),inference(shift_quantors,[status(thm)],[13])).
% fof(15, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(X11,esk2_2(X5,X6)),X5))|~(in(esk2_2(X5,X6),X6)))|X6=relation_rng(X5))|~(relation(X5)))&(((in(esk2_2(X5,X6),X6)|in(ordered_pair(esk3_2(X5,X6),esk2_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(esk1_3(X5,X6,X7),X7),X5))|~(X6=relation_rng(X5)))|~(relation(X5))))),inference(distribute,[status(thm)],[14])).
% cnf(16,plain,(in(ordered_pair(esk1_3(X1,X2,X3),X3),X1)|~relation(X1)|X2!=relation_rng(X1)|~in(X3,X2)),inference(split_conjunct,[status(thm)],[15])).
% cnf(17,plain,(in(X3,X2)|~relation(X1)|X2!=relation_rng(X1)|~in(ordered_pair(X4,X3),X1)),inference(split_conjunct,[status(thm)],[15])).
% cnf(18,plain,(X2=relation_rng(X1)|in(ordered_pair(esk3_2(X1,X2),esk2_2(X1,X2)),X1)|in(esk2_2(X1,X2),X2)|~relation(X1)),inference(split_conjunct,[status(thm)],[15])).
% cnf(19,plain,(X2=relation_rng(X1)|~relation(X1)|~in(esk2_2(X1,X2),X2)|~in(ordered_pair(X3,esk2_2(X1,X2)),X1)),inference(split_conjunct,[status(thm)],[15])).
% fof(20, plain,![X1]:![X2]:(~(relation(X2))|![X3]:(~(relation(X3))|((~(X3=relation_rng_restriction(X1,X2))|![X4]:![X5]:((~(in(ordered_pair(X4,X5),X3))|(in(X5,X1)&in(ordered_pair(X4,X5),X2)))&((~(in(X5,X1))|~(in(ordered_pair(X4,X5),X2)))|in(ordered_pair(X4,X5),X3))))&(?[X4]:?[X5]:((~(in(ordered_pair(X4,X5),X3))|(~(in(X5,X1))|~(in(ordered_pair(X4,X5),X2))))&(in(ordered_pair(X4,X5),X3)|(in(X5,X1)&in(ordered_pair(X4,X5),X2))))|X3=relation_rng_restriction(X1,X2))))),inference(fof_nnf,[status(thm)],[2])).
% fof(21, plain,![X6]:![X7]:(~(relation(X7))|![X8]:(~(relation(X8))|((~(X8=relation_rng_restriction(X6,X7))|![X9]:![X10]:((~(in(ordered_pair(X9,X10),X8))|(in(X10,X6)&in(ordered_pair(X9,X10),X7)))&((~(in(X10,X6))|~(in(ordered_pair(X9,X10),X7)))|in(ordered_pair(X9,X10),X8))))&(?[X11]:?[X12]:((~(in(ordered_pair(X11,X12),X8))|(~(in(X12,X6))|~(in(ordered_pair(X11,X12),X7))))&(in(ordered_pair(X11,X12),X8)|(in(X12,X6)&in(ordered_pair(X11,X12),X7))))|X8=relation_rng_restriction(X6,X7))))),inference(variable_rename,[status(thm)],[20])).
% fof(22, plain,![X6]:![X7]:(~(relation(X7))|![X8]:(~(relation(X8))|((~(X8=relation_rng_restriction(X6,X7))|![X9]:![X10]:((~(in(ordered_pair(X9,X10),X8))|(in(X10,X6)&in(ordered_pair(X9,X10),X7)))&((~(in(X10,X6))|~(in(ordered_pair(X9,X10),X7)))|in(ordered_pair(X9,X10),X8))))&(((~(in(ordered_pair(esk4_3(X6,X7,X8),esk5_3(X6,X7,X8)),X8))|(~(in(esk5_3(X6,X7,X8),X6))|~(in(ordered_pair(esk4_3(X6,X7,X8),esk5_3(X6,X7,X8)),X7))))&(in(ordered_pair(esk4_3(X6,X7,X8),esk5_3(X6,X7,X8)),X8)|(in(esk5_3(X6,X7,X8),X6)&in(ordered_pair(esk4_3(X6,X7,X8),esk5_3(X6,X7,X8)),X7))))|X8=relation_rng_restriction(X6,X7))))),inference(skolemize,[status(esa)],[21])).
% fof(23, plain,![X6]:![X7]:![X8]:![X9]:![X10]:((((((~(in(ordered_pair(X9,X10),X8))|(in(X10,X6)&in(ordered_pair(X9,X10),X7)))&((~(in(X10,X6))|~(in(ordered_pair(X9,X10),X7)))|in(ordered_pair(X9,X10),X8)))|~(X8=relation_rng_restriction(X6,X7)))&(((~(in(ordered_pair(esk4_3(X6,X7,X8),esk5_3(X6,X7,X8)),X8))|(~(in(esk5_3(X6,X7,X8),X6))|~(in(ordered_pair(esk4_3(X6,X7,X8),esk5_3(X6,X7,X8)),X7))))&(in(ordered_pair(esk4_3(X6,X7,X8),esk5_3(X6,X7,X8)),X8)|(in(esk5_3(X6,X7,X8),X6)&in(ordered_pair(esk4_3(X6,X7,X8),esk5_3(X6,X7,X8)),X7))))|X8=relation_rng_restriction(X6,X7)))|~(relation(X8)))|~(relation(X7))),inference(shift_quantors,[status(thm)],[22])).
% fof(24, plain,![X6]:![X7]:![X8]:![X9]:![X10]:(((((((in(X10,X6)|~(in(ordered_pair(X9,X10),X8)))|~(X8=relation_rng_restriction(X6,X7)))|~(relation(X8)))|~(relation(X7)))&((((in(ordered_pair(X9,X10),X7)|~(in(ordered_pair(X9,X10),X8)))|~(X8=relation_rng_restriction(X6,X7)))|~(relation(X8)))|~(relation(X7))))&(((((~(in(X10,X6))|~(in(ordered_pair(X9,X10),X7)))|in(ordered_pair(X9,X10),X8))|~(X8=relation_rng_restriction(X6,X7)))|~(relation(X8)))|~(relation(X7))))&(((((~(in(ordered_pair(esk4_3(X6,X7,X8),esk5_3(X6,X7,X8)),X8))|(~(in(esk5_3(X6,X7,X8),X6))|~(in(ordered_pair(esk4_3(X6,X7,X8),esk5_3(X6,X7,X8)),X7))))|X8=relation_rng_restriction(X6,X7))|~(relation(X8)))|~(relation(X7)))&(((((in(esk5_3(X6,X7,X8),X6)|in(ordered_pair(esk4_3(X6,X7,X8),esk5_3(X6,X7,X8)),X8))|X8=relation_rng_restriction(X6,X7))|~(relation(X8)))|~(relation(X7)))&((((in(ordered_pair(esk4_3(X6,X7,X8),esk5_3(X6,X7,X8)),X7)|in(ordered_pair(esk4_3(X6,X7,X8),esk5_3(X6,X7,X8)),X8))|X8=relation_rng_restriction(X6,X7))|~(relation(X8)))|~(relation(X7)))))),inference(distribute,[status(thm)],[23])).
% cnf(25,plain,(X2=relation_rng_restriction(X3,X1)|in(ordered_pair(esk4_3(X3,X1,X2),esk5_3(X3,X1,X2)),X2)|in(ordered_pair(esk4_3(X3,X1,X2),esk5_3(X3,X1,X2)),X1)|~relation(X1)|~relation(X2)),inference(split_conjunct,[status(thm)],[24])).
% cnf(27,plain,(X2=relation_rng_restriction(X3,X1)|~relation(X1)|~relation(X2)|~in(ordered_pair(esk4_3(X3,X1,X2),esk5_3(X3,X1,X2)),X1)|~in(esk5_3(X3,X1,X2),X3)|~in(ordered_pair(esk4_3(X3,X1,X2),esk5_3(X3,X1,X2)),X2)),inference(split_conjunct,[status(thm)],[24])).
% cnf(28,plain,(in(ordered_pair(X4,X5),X2)|~relation(X1)|~relation(X2)|X2!=relation_rng_restriction(X3,X1)|~in(ordered_pair(X4,X5),X1)|~in(X5,X3)),inference(split_conjunct,[status(thm)],[24])).
% cnf(29,plain,(in(ordered_pair(X4,X5),X1)|~relation(X1)|~relation(X2)|X2!=relation_rng_restriction(X3,X1)|~in(ordered_pair(X4,X5),X2)),inference(split_conjunct,[status(thm)],[24])).
% cnf(30,plain,(in(X5,X3)|~relation(X1)|~relation(X2)|X2!=relation_rng_restriction(X3,X1)|~in(ordered_pair(X4,X5),X2)),inference(split_conjunct,[status(thm)],[24])).
% fof(39, plain,![X1]:![X2]:(~(relation(X2))|relation(relation_rng_restriction(X1,X2))),inference(fof_nnf,[status(thm)],[5])).
% fof(40, plain,![X3]:![X4]:(~(relation(X4))|relation(relation_rng_restriction(X3,X4))),inference(variable_rename,[status(thm)],[39])).
% cnf(41,plain,(relation(relation_rng_restriction(X1,X2))|~relation(X2)),inference(split_conjunct,[status(thm)],[40])).
% fof(45, negated_conjecture,?[X1]:?[X2]:?[X3]:(relation(X3)&((~(in(X1,relation_rng(relation_rng_restriction(X2,X3))))|(~(in(X1,X2))|~(in(X1,relation_rng(X3)))))&(in(X1,relation_rng(relation_rng_restriction(X2,X3)))|(in(X1,X2)&in(X1,relation_rng(X3)))))),inference(fof_nnf,[status(thm)],[8])).
% fof(46, negated_conjecture,?[X4]:?[X5]:?[X6]:(relation(X6)&((~(in(X4,relation_rng(relation_rng_restriction(X5,X6))))|(~(in(X4,X5))|~(in(X4,relation_rng(X6)))))&(in(X4,relation_rng(relation_rng_restriction(X5,X6)))|(in(X4,X5)&in(X4,relation_rng(X6)))))),inference(variable_rename,[status(thm)],[45])).
% fof(47, negated_conjecture,(relation(esk8_0)&((~(in(esk6_0,relation_rng(relation_rng_restriction(esk7_0,esk8_0))))|(~(in(esk6_0,esk7_0))|~(in(esk6_0,relation_rng(esk8_0)))))&(in(esk6_0,relation_rng(relation_rng_restriction(esk7_0,esk8_0)))|(in(esk6_0,esk7_0)&in(esk6_0,relation_rng(esk8_0)))))),inference(skolemize,[status(esa)],[46])).
% fof(48, negated_conjecture,(relation(esk8_0)&((~(in(esk6_0,relation_rng(relation_rng_restriction(esk7_0,esk8_0))))|(~(in(esk6_0,esk7_0))|~(in(esk6_0,relation_rng(esk8_0)))))&((in(esk6_0,esk7_0)|in(esk6_0,relation_rng(relation_rng_restriction(esk7_0,esk8_0))))&(in(esk6_0,relation_rng(esk8_0))|in(esk6_0,relation_rng(relation_rng_restriction(esk7_0,esk8_0))))))),inference(distribute,[status(thm)],[47])).
% cnf(49,negated_conjecture,(in(esk6_0,relation_rng(relation_rng_restriction(esk7_0,esk8_0)))|in(esk6_0,relation_rng(esk8_0))),inference(split_conjunct,[status(thm)],[48])).
% cnf(50,negated_conjecture,(in(esk6_0,relation_rng(relation_rng_restriction(esk7_0,esk8_0)))|in(esk6_0,esk7_0)),inference(split_conjunct,[status(thm)],[48])).
% cnf(51,negated_conjecture,(~in(esk6_0,relation_rng(esk8_0))|~in(esk6_0,esk7_0)|~in(esk6_0,relation_rng(relation_rng_restriction(esk7_0,esk8_0)))),inference(split_conjunct,[status(thm)],[48])).
% cnf(52,negated_conjecture,(relation(esk8_0)),inference(split_conjunct,[status(thm)],[48])).
% cnf(61,plain,(in(X1,X2)|relation_rng_restriction(X2,X3)!=X4|~relation(X4)|~relation(X3)|relation_rng(X4)!=X5|~in(X1,X5)),inference(spm,[status(thm)],[30,16,theory(equality)])).
% cnf(62,plain,(in(ordered_pair(esk1_3(X1,X2,X3),X3),X4)|relation_rng_restriction(X5,X4)!=X1|~relation(X1)|~relation(X4)|relation_rng(X1)!=X2|~in(X3,X2)),inference(spm,[status(thm)],[29,16,theory(equality)])).
% cnf(63,plain,(relation_rng(X1)=X2|~in(esk2_2(X1,X2),X2)|~relation(X1)|relation_rng(X1)!=X3|~in(esk2_2(X1,X2),X3)),inference(spm,[status(thm)],[19,16,theory(equality)])).
% cnf(65,plain,(in(esk2_2(X1,X2),X3)|relation_rng(X1)=X2|in(esk2_2(X1,X2),X2)|relation_rng(X1)!=X3|~relation(X1)),inference(spm,[status(thm)],[17,18,theory(equality)])).
% cnf(69,plain,(in(ordered_pair(esk3_2(X1,X2),esk2_2(X1,X2)),X3)|relation_rng(X1)=X2|in(esk2_2(X1,X2),X2)|relation_rng_restriction(X4,X1)!=X3|~in(esk2_2(X1,X2),X4)|~relation(X3)|~relation(X1)),inference(spm,[status(thm)],[28,18,theory(equality)])).
% cnf(76,negated_conjecture,(relation_rng_restriction(X1,X2)=esk8_0|in(ordered_pair(esk4_3(X1,X2,esk8_0),esk5_3(X1,X2,esk8_0)),esk8_0)|in(ordered_pair(esk4_3(X1,X2,esk8_0),esk5_3(X1,X2,esk8_0)),X2)|~relation(X2)),inference(spm,[status(thm)],[25,52,theory(equality)])).
% cnf(80,plain,(in(X1,X2)|relation_rng(relation_rng_restriction(X2,X3))!=X4|~in(X1,X4)|~relation(relation_rng_restriction(X2,X3))|~relation(X3)),inference(er,[status(thm)],[61,theory(equality)])).
% cnf(81,plain,(in(ordered_pair(esk1_3(relation_rng_restriction(X1,X2),X3,X4),X4),X2)|relation_rng(relation_rng_restriction(X1,X2))!=X3|~in(X4,X3)|~relation(relation_rng_restriction(X1,X2))|~relation(X2)),inference(er,[status(thm)],[62,theory(equality)])).
% cnf(82,plain,(in(X1,X2)|relation_rng(relation_rng_restriction(X2,X3))!=X4|~in(X1,X4)|~relation(X3)),inference(csr,[status(thm)],[80,41])).
% cnf(83,plain,(in(X1,X2)|~in(X1,relation_rng(relation_rng_restriction(X2,X3)))|~relation(X3)),inference(er,[status(thm)],[82,theory(equality)])).
% cnf(84,negated_conjecture,(in(esk6_0,esk7_0)|~relation(esk8_0)),inference(spm,[status(thm)],[83,50,theory(equality)])).
% cnf(89,negated_conjecture,(in(esk6_0,esk7_0)|$false),inference(rw,[status(thm)],[84,52,theory(equality)])).
% cnf(90,negated_conjecture,(in(esk6_0,esk7_0)),inference(cn,[status(thm)],[89,theory(equality)])).
% cnf(95,negated_conjecture,(~in(esk6_0,relation_rng(relation_rng_restriction(esk7_0,esk8_0)))|~in(esk6_0,relation_rng(esk8_0))|$false),inference(rw,[status(thm)],[51,90,theory(equality)])).
% cnf(96,negated_conjecture,(~in(esk6_0,relation_rng(relation_rng_restriction(esk7_0,esk8_0)))|~in(esk6_0,relation_rng(esk8_0))),inference(cn,[status(thm)],[95,theory(equality)])).
% cnf(100,plain,(relation_rng(X1)=X2|in(esk2_2(X1,X2),X2)|in(esk2_2(X1,X2),relation_rng(X1))|~relation(X1)),inference(er,[status(thm)],[65,theory(equality)])).
% cnf(101,negated_conjecture,(relation_rng(esk8_0)=X1|in(esk2_2(esk8_0,X1),relation_rng(esk8_0))|in(esk2_2(esk8_0,X1),X1)),inference(spm,[status(thm)],[100,52,theory(equality)])).
% cnf(123,plain,(in(ordered_pair(esk1_3(relation_rng_restriction(X1,X2),X3,X4),X4),X2)|relation_rng(relation_rng_restriction(X1,X2))!=X3|~in(X4,X3)|~relation(X2)),inference(csr,[status(thm)],[81,41])).
% cnf(127,plain,(in(X1,X2)|relation_rng(X3)!=X2|~relation(X3)|relation_rng(relation_rng_restriction(X4,X3))!=X5|~in(X1,X5)),inference(spm,[status(thm)],[17,123,theory(equality)])).
% cnf(131,plain,(in(X1,X2)|relation_rng(X3)!=X2|~in(X1,relation_rng(relation_rng_restriction(X4,X3)))|~relation(X3)),inference(er,[status(thm)],[127,theory(equality)])).
% cnf(134,negated_conjecture,(relation_rng(esk8_0)=X1|in(ordered_pair(esk3_2(esk8_0,X1),esk2_2(esk8_0,X1)),X2)|in(esk2_2(esk8_0,X1),X1)|relation_rng_restriction(relation_rng(esk8_0),esk8_0)!=X2|~relation(X2)|~relation(esk8_0)),inference(spm,[status(thm)],[69,101,theory(equality)])).
% cnf(141,negated_conjecture,(relation_rng(esk8_0)=X1|in(ordered_pair(esk3_2(esk8_0,X1),esk2_2(esk8_0,X1)),X2)|in(esk2_2(esk8_0,X1),X1)|relation_rng_restriction(relation_rng(esk8_0),esk8_0)!=X2|~relation(X2)|$false),inference(rw,[status(thm)],[134,52,theory(equality)])).
% cnf(142,negated_conjecture,(relation_rng(esk8_0)=X1|in(ordered_pair(esk3_2(esk8_0,X1),esk2_2(esk8_0,X1)),X2)|in(esk2_2(esk8_0,X1),X1)|relation_rng_restriction(relation_rng(esk8_0),esk8_0)!=X2|~relation(X2)),inference(cn,[status(thm)],[141,theory(equality)])).
% cnf(147,negated_conjecture,(in(esk6_0,X1)|in(esk6_0,relation_rng(esk8_0))|relation_rng(esk8_0)!=X1|~relation(esk8_0)),inference(spm,[status(thm)],[131,49,theory(equality)])).
% cnf(154,negated_conjecture,(in(esk6_0,X1)|in(esk6_0,relation_rng(esk8_0))|relation_rng(esk8_0)!=X1|$false),inference(rw,[status(thm)],[147,52,theory(equality)])).
% cnf(155,negated_conjecture,(in(esk6_0,X1)|in(esk6_0,relation_rng(esk8_0))|relation_rng(esk8_0)!=X1),inference(cn,[status(thm)],[154,theory(equality)])).
% cnf(156,negated_conjecture,(in(esk6_0,relation_rng(esk8_0))),inference(er,[status(thm)],[155,theory(equality)])).
% cnf(160,negated_conjecture,(~in(esk6_0,relation_rng(relation_rng_restriction(esk7_0,esk8_0)))|$false),inference(rw,[status(thm)],[96,156,theory(equality)])).
% cnf(161,negated_conjecture,(~in(esk6_0,relation_rng(relation_rng_restriction(esk7_0,esk8_0)))),inference(cn,[status(thm)],[160,theory(equality)])).
% cnf(214,negated_conjecture,(in(esk2_2(esk8_0,X1),X2)|relation_rng(esk8_0)=X1|in(esk2_2(esk8_0,X1),X1)|relation_rng(X3)!=X2|~relation(X3)|relation_rng_restriction(relation_rng(esk8_0),esk8_0)!=X3),inference(spm,[status(thm)],[17,142,theory(equality)])).
% cnf(233,negated_conjecture,(relation_rng(esk8_0)=X1|in(esk2_2(esk8_0,X1),X1)|in(esk2_2(esk8_0,X1),X2)|relation_rng(relation_rng_restriction(relation_rng(esk8_0),esk8_0))!=X2|~relation(relation_rng_restriction(relation_rng(esk8_0),esk8_0))),inference(er,[status(thm)],[214,theory(equality)])).
% cnf(234,negated_conjecture,(relation_rng(esk8_0)=X1|in(esk2_2(esk8_0,X1),relation_rng(relation_rng_restriction(relation_rng(esk8_0),esk8_0)))|in(esk2_2(esk8_0,X1),X1)|~relation(relation_rng_restriction(relation_rng(esk8_0),esk8_0))),inference(er,[status(thm)],[233,theory(equality)])).
% cnf(235,negated_conjecture,(relation_rng(esk8_0)=X1|in(esk2_2(esk8_0,X1),relation_rng(relation_rng_restriction(relation_rng(esk8_0),esk8_0)))|in(esk2_2(esk8_0,X1),X1)|~relation(esk8_0)),inference(spm,[status(thm)],[234,41,theory(equality)])).
% cnf(236,negated_conjecture,(relation_rng(esk8_0)=X1|in(esk2_2(esk8_0,X1),relation_rng(relation_rng_restriction(relation_rng(esk8_0),esk8_0)))|in(esk2_2(esk8_0,X1),X1)|$false),inference(rw,[status(thm)],[235,52,theory(equality)])).
% cnf(237,negated_conjecture,(relation_rng(esk8_0)=X1|in(esk2_2(esk8_0,X1),relation_rng(relation_rng_restriction(relation_rng(esk8_0),esk8_0)))|in(esk2_2(esk8_0,X1),X1)),inference(cn,[status(thm)],[236,theory(equality)])).
% cnf(238,negated_conjecture,(relation_rng(esk8_0)=relation_rng(relation_rng_restriction(relation_rng(esk8_0),esk8_0))|in(esk2_2(esk8_0,relation_rng(relation_rng_restriction(relation_rng(esk8_0),esk8_0))),relation_rng(relation_rng_restriction(relation_rng(esk8_0),esk8_0)))),inference(ef,[status(thm)],[237,theory(equality)])).
% cnf(281,negated_conjecture,(in(esk2_2(esk8_0,relation_rng(relation_rng_restriction(relation_rng(esk8_0),esk8_0))),X1)|relation_rng(relation_rng_restriction(relation_rng(esk8_0),esk8_0))=relation_rng(esk8_0)|relation_rng(esk8_0)!=X1|~relation(esk8_0)),inference(spm,[status(thm)],[131,238,theory(equality)])).
% cnf(283,negated_conjecture,(relation_rng(esk8_0)=relation_rng(relation_rng_restriction(relation_rng(esk8_0),esk8_0))|relation_rng(esk8_0)!=X1|~in(esk2_2(esk8_0,relation_rng(relation_rng_restriction(relation_rng(esk8_0),esk8_0))),X1)|~relation(esk8_0)),inference(spm,[status(thm)],[63,238,theory(equality)])).
% cnf(289,negated_conjecture,(in(esk2_2(esk8_0,relation_rng(relation_rng_restriction(relation_rng(esk8_0),esk8_0))),X1)|relation_rng(relation_rng_restriction(relation_rng(esk8_0),esk8_0))=relation_rng(esk8_0)|relation_rng(esk8_0)!=X1|$false),inference(rw,[status(thm)],[281,52,theory(equality)])).
% cnf(290,negated_conjecture,(in(esk2_2(esk8_0,relation_rng(relation_rng_restriction(relation_rng(esk8_0),esk8_0))),X1)|relation_rng(relation_rng_restriction(relation_rng(esk8_0),esk8_0))=relation_rng(esk8_0)|relation_rng(esk8_0)!=X1),inference(cn,[status(thm)],[289,theory(equality)])).
% cnf(293,negated_conjecture,(relation_rng(esk8_0)=relation_rng(relation_rng_restriction(relation_rng(esk8_0),esk8_0))|relation_rng(esk8_0)!=X1|~in(esk2_2(esk8_0,relation_rng(relation_rng_restriction(relation_rng(esk8_0),esk8_0))),X1)|$false),inference(rw,[status(thm)],[283,52,theory(equality)])).
% cnf(294,negated_conjecture,(relation_rng(esk8_0)=relation_rng(relation_rng_restriction(relation_rng(esk8_0),esk8_0))|relation_rng(esk8_0)!=X1|~in(esk2_2(esk8_0,relation_rng(relation_rng_restriction(relation_rng(esk8_0),esk8_0))),X1)),inference(cn,[status(thm)],[293,theory(equality)])).
% cnf(300,negated_conjecture,(relation_rng_restriction(X1,esk8_0)=esk8_0|in(ordered_pair(esk4_3(X1,esk8_0,esk8_0),esk5_3(X1,esk8_0,esk8_0)),esk8_0)),inference(spm,[status(thm)],[76,52,theory(equality)])).
% cnf(318,negated_conjecture,(in(esk5_3(X1,esk8_0,esk8_0),X2)|relation_rng_restriction(X1,esk8_0)=esk8_0|relation_rng(esk8_0)!=X2|~relation(esk8_0)),inference(spm,[status(thm)],[17,300,theory(equality)])).
% cnf(322,negated_conjecture,(relation_rng_restriction(X1,esk8_0)=esk8_0|~in(ordered_pair(esk4_3(X1,esk8_0,esk8_0),esk5_3(X1,esk8_0,esk8_0)),esk8_0)|~in(esk5_3(X1,esk8_0,esk8_0),X1)|~relation(esk8_0)),inference(spm,[status(thm)],[27,300,theory(equality)])).
% cnf(323,negated_conjecture,(in(esk5_3(X1,esk8_0,esk8_0),X2)|relation_rng_restriction(X1,esk8_0)=esk8_0|relation_rng(esk8_0)!=X2|$false),inference(rw,[status(thm)],[318,52,theory(equality)])).
% cnf(324,negated_conjecture,(in(esk5_3(X1,esk8_0,esk8_0),X2)|relation_rng_restriction(X1,esk8_0)=esk8_0|relation_rng(esk8_0)!=X2),inference(cn,[status(thm)],[323,theory(equality)])).
% cnf(331,negated_conjecture,(relation_rng_restriction(X1,esk8_0)=esk8_0|~in(ordered_pair(esk4_3(X1,esk8_0,esk8_0),esk5_3(X1,esk8_0,esk8_0)),esk8_0)|~in(esk5_3(X1,esk8_0,esk8_0),X1)|$false),inference(rw,[status(thm)],[322,52,theory(equality)])).
% cnf(332,negated_conjecture,(relation_rng_restriction(X1,esk8_0)=esk8_0|~in(ordered_pair(esk4_3(X1,esk8_0,esk8_0),esk5_3(X1,esk8_0,esk8_0)),esk8_0)|~in(esk5_3(X1,esk8_0,esk8_0),X1)),inference(cn,[status(thm)],[331,theory(equality)])).
% cnf(341,negated_conjecture,(in(esk5_3(X1,esk8_0,esk8_0),X2)|relation_rng_restriction(X1,esk8_0)=esk8_0|~relation(X3)|relation_rng(esk8_0)!=relation_rng(relation_rng_restriction(X2,X3))),inference(spm,[status(thm)],[83,324,theory(equality)])).
% cnf(388,negated_conjecture,(relation_rng(relation_rng_restriction(relation_rng(esk8_0),esk8_0))=relation_rng(esk8_0)|relation_rng(esk8_0)!=X1),inference(csr,[status(thm)],[294,290])).
% cnf(389,negated_conjecture,(relation_rng(relation_rng_restriction(relation_rng(esk8_0),esk8_0))=relation_rng(esk8_0)),inference(er,[status(thm)],[388,theory(equality)])).
% cnf(509,negated_conjecture,(relation_rng_restriction(X1,esk8_0)=esk8_0|in(esk5_3(X1,esk8_0,esk8_0),relation_rng(esk8_0))|~relation(esk8_0)),inference(spm,[status(thm)],[341,389,theory(equality)])).
% cnf(510,negated_conjecture,(relation_rng_restriction(X1,esk8_0)=esk8_0|in(esk5_3(X1,esk8_0,esk8_0),relation_rng(esk8_0))|$false),inference(rw,[status(thm)],[509,52,theory(equality)])).
% cnf(511,negated_conjecture,(relation_rng_restriction(X1,esk8_0)=esk8_0|in(esk5_3(X1,esk8_0,esk8_0),relation_rng(esk8_0))),inference(cn,[status(thm)],[510,theory(equality)])).
% cnf(677,negated_conjecture,(relation_rng_restriction(X1,esk8_0)=esk8_0|~in(esk5_3(X1,esk8_0,esk8_0),X1)),inference(csr,[status(thm)],[332,300])).
% cnf(678,negated_conjecture,(relation_rng_restriction(relation_rng(esk8_0),esk8_0)=esk8_0),inference(spm,[status(thm)],[677,511,theory(equality)])).
% cnf(690,negated_conjecture,(in(ordered_pair(esk1_3(esk8_0,X1,X2),X2),esk8_0)|relation_rng(esk8_0)!=X1|~in(X2,X1)|~relation(esk8_0)),inference(spm,[status(thm)],[123,678,theory(equality)])).
% cnf(757,negated_conjecture,(in(ordered_pair(esk1_3(esk8_0,X1,X2),X2),esk8_0)|relation_rng(esk8_0)!=X1|~in(X2,X1)|$false),inference(rw,[status(thm)],[690,52,theory(equality)])).
% cnf(758,negated_conjecture,(in(ordered_pair(esk1_3(esk8_0,X1,X2),X2),esk8_0)|relation_rng(esk8_0)!=X1|~in(X2,X1)),inference(cn,[status(thm)],[757,theory(equality)])).
% cnf(1123,negated_conjecture,(in(ordered_pair(esk1_3(esk8_0,X1,X2),X2),X3)|relation_rng_restriction(X4,esk8_0)!=X3|~in(X2,X4)|~relation(X3)|~relation(esk8_0)|relation_rng(esk8_0)!=X1|~in(X2,X1)),inference(spm,[status(thm)],[28,758,theory(equality)])).
% cnf(1132,negated_conjecture,(in(ordered_pair(esk1_3(esk8_0,X1,X2),X2),X3)|relation_rng_restriction(X4,esk8_0)!=X3|~in(X2,X4)|~relation(X3)|$false|relation_rng(esk8_0)!=X1|~in(X2,X1)),inference(rw,[status(thm)],[1123,52,theory(equality)])).
% cnf(1133,negated_conjecture,(in(ordered_pair(esk1_3(esk8_0,X1,X2),X2),X3)|relation_rng_restriction(X4,esk8_0)!=X3|~in(X2,X4)|~relation(X3)|relation_rng(esk8_0)!=X1|~in(X2,X1)),inference(cn,[status(thm)],[1132,theory(equality)])).
% cnf(9291,negated_conjecture,(in(ordered_pair(esk1_3(esk8_0,X1,X2),X2),relation_rng_restriction(X3,esk8_0))|relation_rng(esk8_0)!=X1|~in(X2,X3)|~in(X2,X1)|~relation(relation_rng_restriction(X3,esk8_0))),inference(er,[status(thm)],[1133,theory(equality)])).
% cnf(9310,negated_conjecture,(in(X1,X2)|relation_rng(relation_rng_restriction(X3,esk8_0))!=X2|~relation(relation_rng_restriction(X3,esk8_0))|relation_rng(esk8_0)!=X4|~in(X1,X3)|~in(X1,X4)),inference(spm,[status(thm)],[17,9291,theory(equality)])).
% cnf(9375,negated_conjecture,(in(X1,relation_rng(relation_rng_restriction(X2,esk8_0)))|relation_rng(esk8_0)!=X3|~in(X1,X2)|~in(X1,X3)|~relation(relation_rng_restriction(X2,esk8_0))),inference(er,[status(thm)],[9310,theory(equality)])).
% cnf(9385,negated_conjecture,(in(X1,relation_rng(relation_rng_restriction(X2,esk8_0)))|~in(X1,X2)|~in(X1,relation_rng(esk8_0))|~relation(relation_rng_restriction(X2,esk8_0))),inference(er,[status(thm)],[9375,theory(equality)])).
% cnf(9386,negated_conjecture,(~in(esk6_0,relation_rng(esk8_0))|~in(esk6_0,esk7_0)|~relation(relation_rng_restriction(esk7_0,esk8_0))),inference(spm,[status(thm)],[161,9385,theory(equality)])).
% cnf(9426,negated_conjecture,($false|~in(esk6_0,esk7_0)|~relation(relation_rng_restriction(esk7_0,esk8_0))),inference(rw,[status(thm)],[9386,156,theory(equality)])).
% cnf(9427,negated_conjecture,($false|$false|~relation(relation_rng_restriction(esk7_0,esk8_0))),inference(rw,[status(thm)],[9426,90,theory(equality)])).
% cnf(9428,negated_conjecture,(~relation(relation_rng_restriction(esk7_0,esk8_0))),inference(cn,[status(thm)],[9427,theory(equality)])).
% cnf(9446,negated_conjecture,(~relation(esk8_0)),inference(spm,[status(thm)],[9428,41,theory(equality)])).
% cnf(9449,negated_conjecture,($false),inference(rw,[status(thm)],[9446,52,theory(equality)])).
% cnf(9450,negated_conjecture,($false),inference(cn,[status(thm)],[9449,theory(equality)])).
% cnf(9451,negated_conjecture,($false),9450,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 1531
% # ...of these trivial                : 98
% # ...subsumed                        : 740
% # ...remaining for further processing: 693
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 25
% # Backward-rewritten                 : 31
% # Generated clauses                  : 6513
% # ...of the previous two non-trivial : 6081
% # Contextual simplify-reflections    : 731
% # Paramodulations                    : 6411
% # Factorizations                     : 26
% # Equation resolutions               : 76
% # Current number of processed clauses: 618
% #    Positive orientable unit clauses: 4
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 6
% #    Non-unit-clauses                : 608
% # Current number of unprocessed clauses: 4470
% # ...number of literals in the above : 32089
% # Clause-clause subsumption calls (NU) : 36645
% # Rec. Clause-clause subsumption calls : 10496
% # Unit Clause-clause subsumption calls : 30
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 4
% # Indexed BW rewrite successes       : 4
% # Backwards rewriting index:   311 leaves,   2.84+/-3.655 terms/leaf
% # Paramod-from index:           53 leaves,   2.25+/-2.410 terms/leaf
% # Paramod-into index:          265 leaves,   2.31+/-2.500 terms/leaf
% # -------------------------------------------------
% # User time              : 0.665 s
% # System time            : 0.021 s
% # Total time             : 0.686 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.96 CPU 1.05 WC
% FINAL PrfWatch: 0.96 CPU 1.05 WC
% SZS output end Solution for /tmp/SystemOnTPTP30521/SEU197+2.tptp
% 
%------------------------------------------------------------------------------