%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SEU207+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 01:48:48 EST 2010

% Result   : Theorem 190.87s
% Output   : Solution 252.11s
% 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/SystemOnTPTP4016/SEU207+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% not found
% Adding ~C to TBU       ... ~t160_relat_1:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... dt_k5_relat_1:
%  CSA axiom dt_k5_relat_1 found
% Looking for CSA axiom ... t146_relat_1:
%  CSA axiom t146_relat_1 found
% Looking for CSA axiom ... t144_relat_1:
%  CSA axiom t144_relat_1 found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... t45_relat_1:
%  CSA axiom t45_relat_1 found
% Looking for CSA axiom ... fc10_relat_1:
%  CSA axiom fc10_relat_1 found
% Looking for CSA axiom ... fc9_relat_1:
%  CSA axiom fc9_relat_1 found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... fc6_relat_1:
%  CSA axiom fc6_relat_1 found
% Looking for CSA axiom ... fc8_relat_1:
%  CSA axiom fc8_relat_1 found
% Looking for CSA axiom ... t46_relat_1:
%  CSA axiom t46_relat_1 found
% ---- Iteration 4 (9 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... t47_relat_1:
%  CSA axiom t47_relat_1 found
% Looking for CSA axiom ... d13_relat_1:
%  CSA axiom d13_relat_1 found
% Looking for CSA axiom ... d5_relat_1:
%  CSA axiom d5_relat_1 found
% ---- Iteration 5 (12 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... d8_relat_1:
%  CSA axiom d8_relat_1 found
% Looking for CSA axiom ... involutiveness_k4_relat_1:
%  CSA axiom involutiveness_k4_relat_1 found
% Looking for CSA axiom ... t145_relat_1:
%  CSA axiom t145_relat_1 found
% ---- Iteration 6 (15 axioms selected)
% Looking for TBU SAT   ... 
% no
% Looking for TBU UNS   ... 
% yes - theorem proved
% ---- Selection completed
% Selected axioms are   ... :t145_relat_1:involutiveness_k4_relat_1:d8_relat_1:d5_relat_1:d13_relat_1:t47_relat_1:t46_relat_1:fc8_relat_1:fc6_relat_1:fc9_relat_1:fc10_relat_1:t45_relat_1:t144_relat_1:t146_relat_1:dt_k5_relat_1 (15)
% Unselected axioms are ... :t64_relat_1:t65_relat_1:t37_relat_1:t119_relat_1:t94_relat_1:antisymmetry_r2_hidden:d10_xboole_0:rc1_xboole_0:rc2_xboole_0:reflexivity_r1_tarski:t1_xboole_1:t33_zfmisc_1:t44_relat_1:t115_relat_1:t116_relat_1:t118_relat_1:t99_relat_1:cc1_relat_1:rc1_relat_1:rc2_relat_1:d1_relat_1:d2_relat_1:fc2_relat_1:t2_tarski:d6_relat_1:dt_k7_relat_1:dt_k8_relat_1:fc1_relat_1:dt_k4_relat_1:dt_k6_relat_1:t140_relat_1:t21_relat_1:t74_relat_1:commutativity_k2_xboole_0:commutativity_k3_xboole_0:d3_relat_1:d4_relat_1:idempotence_k2_xboole_0:idempotence_k3_xboole_0:t25_relat_1:t56_relat_1:t90_relat_1:commutativity_k2_tarski:d10_relat_1:d11_relat_1:d12_relat_1:d7_relat_1:t10_zfmisc_1:d4_subset_1:t60_relat_1:d2_zfmisc_1:t30_relat_1:t71_relat_1:antisymmetry_r2_xboole_0:existence_m1_subset_1:fc5_relat_1:fc7_relat_1:irreflexivity_r2_xboole_0:t118_zfmisc_1:t119_zfmisc_1:fc4_relat_1:t2_boole:l1_zfmisc_1:l55_zfmisc_1:t106_zfmisc_1:t143_relat_1:t20_relat_1:t48_xboole_1:t6_boole:d1_xboole_0:t117_relat_1:t1_boole:t3_boole:t3_xboole_1:t4_boole:t6_zfmisc_1:t88_relat_1:t8_boole:d1_tarski:d2_tarski:d2_xboole_0:d3_xboole_0:d4_xboole_0:d8_xboole_0:t12_xboole_1:t28_xboole_1:d4_tarski:t17_xboole_1:t19_xboole_1:t26_xboole_1:t2_xboole_1:t7_boole:d3_tarski:fc1_subset_1:fc1_xboole_0:fc1_zfmisc_1:symmetry_r1_xboole_0:t86_relat_1:fc2_subset_1:fc2_xboole_0:fc3_subset_1:fc3_xboole_0:fc4_subset_1:t45_xboole_1:d1_setfam_1:d1_zfmisc_1:l23_zfmisc_1:l2_zfmisc_1:l32_xboole_1:l4_zfmisc_1:t1_subset:t1_zfmisc_1:t37_xboole_1:t37_zfmisc_1:t39_zfmisc_1:t46_zfmisc_1:t65_zfmisc_1:d2_subset_1:d5_tarski:d7_xboole_0:l3_subset_1:l71_subset_1:rc1_subset_1:rc2_subset_1:t2_subset:t33_xboole_1:t36_xboole_1:t3_subset:t4_subset:t60_xboole_1:t63_xboole_1:t7_xboole_1:t8_xboole_1:t99_zfmisc_1:l25_zfmisc_1:l28_zfmisc_1:t39_xboole_1:t3_xboole_0:t40_xboole_1:t4_xboole_0:l50_zfmisc_1:t38_zfmisc_1:t69_enumset1:t83_xboole_1:t8_zfmisc_1:t92_zfmisc_1:t9_tarski:t9_zfmisc_1:t136_zfmisc_1:dt_k2_subset_1:l3_zfmisc_1:t46_setfam_1:t47_setfam_1:t48_setfam_1:t5_subset:d5_subset_1:dt_k3_subset_1:dt_k5_setfam_1:dt_k6_setfam_1:dt_k6_subset_1:dt_k7_setfam_1:t50_subset_1:involutiveness_k3_subset_1:involutiveness_k7_setfam_1:t54_subset_1:d8_setfam_1:redefinition_k5_setfam_1:redefinition_k6_subset_1:t43_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_k9_relat_1:dt_m1_subset_1 (186)
% SZS status THM for /tmp/SystemOnTPTP4016/SEU207+2.tptp
% Looking for THM       ... 
% found
% SZS output start Solution for /tmp/SystemOnTPTP4016/SEU207+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 6703
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.03 WC
% PrfWatch: 1.93 CPU 2.04 WC
% PrfWatch: 3.92 CPU 4.04 WC
% PrfWatch: 5.92 CPU 6.05 WC
% PrfWatch: 7.50 CPU 8.06 WC
% PrfWatch: 9.13 CPU 10.06 WC
% PrfWatch: 11.12 CPU 12.07 WC
% PrfWatch: 13.11 CPU 14.08 WC
% PrfWatch: 15.09 CPU 16.09 WC
% PrfWatch: 17.09 CPU 18.09 WC
% PrfWatch: 19.07 CPU 20.10 WC
% PrfWatch: 21.07 CPU 22.11 WC
% PrfWatch: 23.06 CPU 24.11 WC
% PrfWatch: 25.03 CPU 26.12 WC
% PrfWatch: 27.02 CPU 28.13 WC
% PrfWatch: 29.01 CPU 30.14 WC
% PrfWatch: 30.99 CPU 32.14 WC
% PrfWatch: 32.97 CPU 34.15 WC
% PrfWatch: 34.96 CPU 36.16 WC
% PrfWatch: 36.94 CPU 38.16 WC
% PrfWatch: 38.93 CPU 40.17 WC
% PrfWatch: 40.92 CPU 42.18 WC
% PrfWatch: 42.91 CPU 44.18 WC
% PrfWatch: 44.90 CPU 46.19 WC
% PrfWatch: 46.89 CPU 48.20 WC
% PrfWatch: 48.88 CPU 50.21 WC
% # Preprocessing time     : 0.016 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 50.85 CPU 52.21 WC
% PrfWatch: 52.84 CPU 54.22 WC
% PrfWatch: 54.83 CPU 56.23 WC
% PrfWatch: 56.82 CPU 58.23 WC
% PrfWatch: 58.82 CPU 60.24 WC
% # SZS output start CNFRefutation.
% fof(3, 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(4, 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(5, axiom,![X1]:(relation(X1)=>![X2]:![X3]:(X3=relation_image(X1,X2)<=>![X4]:(in(X4,X3)<=>?[X5]:(in(ordered_pair(X5,X4),X1)&in(X5,X2))))),file('/tmp/SRASS.s.p', d13_relat_1)).
% fof(14, axiom,![X1]:(relation(X1)=>relation_image(X1,relation_dom(X1))=relation_rng(X1)),file('/tmp/SRASS.s.p', t146_relat_1)).
% fof(15, axiom,![X1]:![X2]:((relation(X1)&relation(X2))=>relation(relation_composition(X1,X2))),file('/tmp/SRASS.s.p', dt_k5_relat_1)).
% fof(16, conjecture,![X1]:(relation(X1)=>![X2]:(relation(X2)=>relation_rng(relation_composition(X1,X2))=relation_image(X2,relation_rng(X1)))),file('/tmp/SRASS.s.p', t160_relat_1)).
% fof(17, negated_conjecture,~(![X1]:(relation(X1)=>![X2]:(relation(X2)=>relation_rng(relation_composition(X1,X2))=relation_image(X2,relation_rng(X1))))),inference(assume_negation,[status(cth)],[16])).
% fof(25, 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)],[3])).
% fof(26, 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)],[25])).
% fof(27, 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,esk1_5(X7,X8,X9,X10,X11)),X7)&in(ordered_pair(esk1_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(esk2_3(X7,X8,X9),esk3_3(X7,X8,X9)),X9))|![X16]:(~(in(ordered_pair(esk2_3(X7,X8,X9),X16),X7))|~(in(ordered_pair(X16,esk3_3(X7,X8,X9)),X8))))&(in(ordered_pair(esk2_3(X7,X8,X9),esk3_3(X7,X8,X9)),X9)|(in(ordered_pair(esk2_3(X7,X8,X9),esk4_3(X7,X8,X9)),X7)&in(ordered_pair(esk4_3(X7,X8,X9),esk3_3(X7,X8,X9)),X8))))|X9=relation_composition(X7,X8)))))),inference(skolemize,[status(esa)],[26])).
% fof(28, plain,![X7]:![X8]:![X9]:![X10]:![X11]:![X13]:![X16]:((((((((~(in(ordered_pair(esk2_3(X7,X8,X9),X16),X7))|~(in(ordered_pair(X16,esk3_3(X7,X8,X9)),X8)))|~(in(ordered_pair(esk2_3(X7,X8,X9),esk3_3(X7,X8,X9)),X9)))&(in(ordered_pair(esk2_3(X7,X8,X9),esk3_3(X7,X8,X9)),X9)|(in(ordered_pair(esk2_3(X7,X8,X9),esk4_3(X7,X8,X9)),X7)&in(ordered_pair(esk4_3(X7,X8,X9),esk3_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,esk1_5(X7,X8,X9,X10,X11)),X7)&in(ordered_pair(esk1_5(X7,X8,X9,X10,X11),X11),X8))))|~(X9=relation_composition(X7,X8))))|~(relation(X9)))|~(relation(X8)))|~(relation(X7))),inference(shift_quantors,[status(thm)],[27])).
% fof(29, plain,![X7]:![X8]:![X9]:![X10]:![X11]:![X13]:![X16]:((((((((~(in(ordered_pair(esk2_3(X7,X8,X9),X16),X7))|~(in(ordered_pair(X16,esk3_3(X7,X8,X9)),X8)))|~(in(ordered_pair(esk2_3(X7,X8,X9),esk3_3(X7,X8,X9)),X9)))|X9=relation_composition(X7,X8))|~(relation(X9)))|~(relation(X8)))|~(relation(X7)))&((((((in(ordered_pair(esk2_3(X7,X8,X9),esk4_3(X7,X8,X9)),X7)|in(ordered_pair(esk2_3(X7,X8,X9),esk3_3(X7,X8,X9)),X9))|X9=relation_composition(X7,X8))|~(relation(X9)))|~(relation(X8)))|~(relation(X7)))&(((((in(ordered_pair(esk4_3(X7,X8,X9),esk3_3(X7,X8,X9)),X8)|in(ordered_pair(esk2_3(X7,X8,X9),esk3_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,esk1_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(esk1_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)],[28])).
% cnf(30,plain,(in(ordered_pair(esk1_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)],[29])).
% cnf(31,plain,(in(ordered_pair(X4,esk1_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)],[29])).
% cnf(32,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)],[29])).
% fof(36, 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)],[4])).
% fof(37, 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)],[36])).
% fof(38, plain,![X5]:(~(relation(X5))|![X6]:((~(X6=relation_rng(X5))|![X7]:((~(in(X7,X6))|in(ordered_pair(esk5_3(X5,X6,X7),X7),X5))&(![X9]:~(in(ordered_pair(X9,X7),X5))|in(X7,X6))))&(((~(in(esk6_2(X5,X6),X6))|![X11]:~(in(ordered_pair(X11,esk6_2(X5,X6)),X5)))&(in(esk6_2(X5,X6),X6)|in(ordered_pair(esk7_2(X5,X6),esk6_2(X5,X6)),X5)))|X6=relation_rng(X5)))),inference(skolemize,[status(esa)],[37])).
% fof(39, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(X11,esk6_2(X5,X6)),X5))|~(in(esk6_2(X5,X6),X6)))&(in(esk6_2(X5,X6),X6)|in(ordered_pair(esk7_2(X5,X6),esk6_2(X5,X6)),X5)))|X6=relation_rng(X5))&(((~(in(ordered_pair(X9,X7),X5))|in(X7,X6))&(~(in(X7,X6))|in(ordered_pair(esk5_3(X5,X6,X7),X7),X5)))|~(X6=relation_rng(X5))))|~(relation(X5))),inference(shift_quantors,[status(thm)],[38])).
% fof(40, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(X11,esk6_2(X5,X6)),X5))|~(in(esk6_2(X5,X6),X6)))|X6=relation_rng(X5))|~(relation(X5)))&(((in(esk6_2(X5,X6),X6)|in(ordered_pair(esk7_2(X5,X6),esk6_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(esk5_3(X5,X6,X7),X7),X5))|~(X6=relation_rng(X5)))|~(relation(X5))))),inference(distribute,[status(thm)],[39])).
% cnf(41,plain,(in(ordered_pair(esk5_3(X1,X2,X3),X3),X1)|~relation(X1)|X2!=relation_rng(X1)|~in(X3,X2)),inference(split_conjunct,[status(thm)],[40])).
% cnf(42,plain,(in(X3,X2)|~relation(X1)|X2!=relation_rng(X1)|~in(ordered_pair(X4,X3),X1)),inference(split_conjunct,[status(thm)],[40])).
% cnf(43,plain,(X2=relation_rng(X1)|in(ordered_pair(esk7_2(X1,X2),esk6_2(X1,X2)),X1)|in(esk6_2(X1,X2),X2)|~relation(X1)),inference(split_conjunct,[status(thm)],[40])).
% cnf(44,plain,(X2=relation_rng(X1)|~relation(X1)|~in(esk6_2(X1,X2),X2)|~in(ordered_pair(X3,esk6_2(X1,X2)),X1)),inference(split_conjunct,[status(thm)],[40])).
% fof(45, plain,![X1]:(~(relation(X1))|![X2]:![X3]:((~(X3=relation_image(X1,X2))|![X4]:((~(in(X4,X3))|?[X5]:(in(ordered_pair(X5,X4),X1)&in(X5,X2)))&(![X5]:(~(in(ordered_pair(X5,X4),X1))|~(in(X5,X2)))|in(X4,X3))))&(?[X4]:((~(in(X4,X3))|![X5]:(~(in(ordered_pair(X5,X4),X1))|~(in(X5,X2))))&(in(X4,X3)|?[X5]:(in(ordered_pair(X5,X4),X1)&in(X5,X2))))|X3=relation_image(X1,X2)))),inference(fof_nnf,[status(thm)],[5])).
% fof(46, plain,![X6]:(~(relation(X6))|![X7]:![X8]:((~(X8=relation_image(X6,X7))|![X9]:((~(in(X9,X8))|?[X10]:(in(ordered_pair(X10,X9),X6)&in(X10,X7)))&(![X11]:(~(in(ordered_pair(X11,X9),X6))|~(in(X11,X7)))|in(X9,X8))))&(?[X12]:((~(in(X12,X8))|![X13]:(~(in(ordered_pair(X13,X12),X6))|~(in(X13,X7))))&(in(X12,X8)|?[X14]:(in(ordered_pair(X14,X12),X6)&in(X14,X7))))|X8=relation_image(X6,X7)))),inference(variable_rename,[status(thm)],[45])).
% fof(47, plain,![X6]:(~(relation(X6))|![X7]:![X8]:((~(X8=relation_image(X6,X7))|![X9]:((~(in(X9,X8))|(in(ordered_pair(esk8_4(X6,X7,X8,X9),X9),X6)&in(esk8_4(X6,X7,X8,X9),X7)))&(![X11]:(~(in(ordered_pair(X11,X9),X6))|~(in(X11,X7)))|in(X9,X8))))&(((~(in(esk9_3(X6,X7,X8),X8))|![X13]:(~(in(ordered_pair(X13,esk9_3(X6,X7,X8)),X6))|~(in(X13,X7))))&(in(esk9_3(X6,X7,X8),X8)|(in(ordered_pair(esk10_3(X6,X7,X8),esk9_3(X6,X7,X8)),X6)&in(esk10_3(X6,X7,X8),X7))))|X8=relation_image(X6,X7)))),inference(skolemize,[status(esa)],[46])).
% fof(48, plain,![X6]:![X7]:![X8]:![X9]:![X11]:![X13]:((((((~(in(ordered_pair(X13,esk9_3(X6,X7,X8)),X6))|~(in(X13,X7)))|~(in(esk9_3(X6,X7,X8),X8)))&(in(esk9_3(X6,X7,X8),X8)|(in(ordered_pair(esk10_3(X6,X7,X8),esk9_3(X6,X7,X8)),X6)&in(esk10_3(X6,X7,X8),X7))))|X8=relation_image(X6,X7))&((((~(in(ordered_pair(X11,X9),X6))|~(in(X11,X7)))|in(X9,X8))&(~(in(X9,X8))|(in(ordered_pair(esk8_4(X6,X7,X8,X9),X9),X6)&in(esk8_4(X6,X7,X8,X9),X7))))|~(X8=relation_image(X6,X7))))|~(relation(X6))),inference(shift_quantors,[status(thm)],[47])).
% fof(49, plain,![X6]:![X7]:![X8]:![X9]:![X11]:![X13]:((((((~(in(ordered_pair(X13,esk9_3(X6,X7,X8)),X6))|~(in(X13,X7)))|~(in(esk9_3(X6,X7,X8),X8)))|X8=relation_image(X6,X7))|~(relation(X6)))&((((in(ordered_pair(esk10_3(X6,X7,X8),esk9_3(X6,X7,X8)),X6)|in(esk9_3(X6,X7,X8),X8))|X8=relation_image(X6,X7))|~(relation(X6)))&(((in(esk10_3(X6,X7,X8),X7)|in(esk9_3(X6,X7,X8),X8))|X8=relation_image(X6,X7))|~(relation(X6)))))&(((((~(in(ordered_pair(X11,X9),X6))|~(in(X11,X7)))|in(X9,X8))|~(X8=relation_image(X6,X7)))|~(relation(X6)))&((((in(ordered_pair(esk8_4(X6,X7,X8,X9),X9),X6)|~(in(X9,X8)))|~(X8=relation_image(X6,X7)))|~(relation(X6)))&(((in(esk8_4(X6,X7,X8,X9),X7)|~(in(X9,X8)))|~(X8=relation_image(X6,X7)))|~(relation(X6)))))),inference(distribute,[status(thm)],[48])).
% cnf(50,plain,(in(esk8_4(X1,X3,X2,X4),X3)|~relation(X1)|X2!=relation_image(X1,X3)|~in(X4,X2)),inference(split_conjunct,[status(thm)],[49])).
% cnf(51,plain,(in(ordered_pair(esk8_4(X1,X3,X2,X4),X4),X1)|~relation(X1)|X2!=relation_image(X1,X3)|~in(X4,X2)),inference(split_conjunct,[status(thm)],[49])).
% cnf(52,plain,(in(X4,X2)|~relation(X1)|X2!=relation_image(X1,X3)|~in(X5,X3)|~in(ordered_pair(X5,X4),X1)),inference(split_conjunct,[status(thm)],[49])).
% fof(89, plain,![X1]:(~(relation(X1))|relation_image(X1,relation_dom(X1))=relation_rng(X1)),inference(fof_nnf,[status(thm)],[14])).
% fof(90, plain,![X2]:(~(relation(X2))|relation_image(X2,relation_dom(X2))=relation_rng(X2)),inference(variable_rename,[status(thm)],[89])).
% cnf(91,plain,(relation_image(X1,relation_dom(X1))=relation_rng(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[90])).
% fof(92, plain,![X1]:![X2]:((~(relation(X1))|~(relation(X2)))|relation(relation_composition(X1,X2))),inference(fof_nnf,[status(thm)],[15])).
% fof(93, plain,![X3]:![X4]:((~(relation(X3))|~(relation(X4)))|relation(relation_composition(X3,X4))),inference(variable_rename,[status(thm)],[92])).
% cnf(94,plain,(relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1)),inference(split_conjunct,[status(thm)],[93])).
% fof(95, negated_conjecture,?[X1]:(relation(X1)&?[X2]:(relation(X2)&~(relation_rng(relation_composition(X1,X2))=relation_image(X2,relation_rng(X1))))),inference(fof_nnf,[status(thm)],[17])).
% fof(96, negated_conjecture,?[X3]:(relation(X3)&?[X4]:(relation(X4)&~(relation_rng(relation_composition(X3,X4))=relation_image(X4,relation_rng(X3))))),inference(variable_rename,[status(thm)],[95])).
% fof(97, negated_conjecture,(relation(esk11_0)&(relation(esk12_0)&~(relation_rng(relation_composition(esk11_0,esk12_0))=relation_image(esk12_0,relation_rng(esk11_0))))),inference(skolemize,[status(esa)],[96])).
% cnf(98,negated_conjecture,(relation_rng(relation_composition(esk11_0,esk12_0))!=relation_image(esk12_0,relation_rng(esk11_0))),inference(split_conjunct,[status(thm)],[97])).
% cnf(99,negated_conjecture,(relation(esk12_0)),inference(split_conjunct,[status(thm)],[97])).
% cnf(100,negated_conjecture,(relation(esk11_0)),inference(split_conjunct,[status(thm)],[97])).
% cnf(115,plain,(relation_rng(X1)=X2|~in(esk6_2(X1,X2),X2)|~relation(X1)|relation_rng(X1)!=X3|~in(esk6_2(X1,X2),X3)),inference(spm,[status(thm)],[44,41,theory(equality)])).
% cnf(118,plain,(in(esk6_2(X1,X2),X3)|relation_rng(X1)=X2|in(esk6_2(X1,X2),X2)|relation_rng(X1)!=X3|~relation(X1)),inference(spm,[status(thm)],[42,43,theory(equality)])).
% cnf(121,plain,(in(esk1_5(X1,X2,X3,X4,X5),X6)|relation_rng(X1)!=X6|~relation(X1)|relation_composition(X1,X2)!=X3|~in(ordered_pair(X4,X5),X3)|~relation(X3)|~relation(X2)),inference(spm,[status(thm)],[42,31,theory(equality)])).
% cnf(126,plain,(in(ordered_pair(X1,X2),X3)|relation_composition(X4,X5)!=X3|~in(ordered_pair(X1,esk8_4(X5,X6,X7,X2)),X4)|~relation(X3)|~relation(X5)|~relation(X4)|relation_image(X5,X6)!=X7|~in(X2,X7)),inference(spm,[status(thm)],[32,51,theory(equality)])).
% cnf(132,plain,(in(X1,X2)|relation_image(X3,X4)!=X2|~in(esk1_5(X5,X3,X6,X7,X1),X4)|~relation(X3)|relation_composition(X5,X3)!=X6|~in(ordered_pair(X7,X1),X6)|~relation(X6)|~relation(X5)),inference(spm,[status(thm)],[52,30,theory(equality)])).
% cnf(176,plain,(relation_rng(X1)=X2|in(esk6_2(X1,X2),X2)|in(esk6_2(X1,X2),relation_rng(X1))|~relation(X1)),inference(er,[status(thm)],[118,theory(equality)])).
% cnf(183,plain,(relation_rng(relation_composition(X1,X2))=X3|in(esk6_2(relation_composition(X1,X2),X3),relation_rng(relation_composition(X1,X2)))|in(esk6_2(relation_composition(X1,X2),X3),X3)|~relation(X2)|~relation(X1)),inference(spm,[status(thm)],[176,94,theory(equality)])).
% cnf(467,plain,(in(ordered_pair(esk8_4(X1,X2,X3,esk8_4(X4,X5,X6,X7)),X7),X8)|relation_composition(X1,X4)!=X8|relation_image(X4,X5)!=X6|~in(X7,X6)|~relation(X8)|~relation(X4)|~relation(X1)|relation_image(X1,X2)!=X3|~in(esk8_4(X4,X5,X6,X7),X3)),inference(spm,[status(thm)],[126,51,theory(equality)])).
% cnf(704,plain,(in(X1,X2)|relation_image(X3,X4)!=X2|relation_composition(X5,X3)!=X6|~in(ordered_pair(X7,X1),X6)|~relation(X3)|~relation(X6)|~relation(X5)|relation_rng(X5)!=X4),inference(spm,[status(thm)],[132,121,theory(equality)])).
% cnf(797,negated_conjecture,(relation_rng(relation_composition(X1,esk12_0))=X2|in(esk6_2(relation_composition(X1,esk12_0),X2),relation_rng(relation_composition(X1,esk12_0)))|in(esk6_2(relation_composition(X1,esk12_0),X2),X2)|~relation(X1)),inference(spm,[status(thm)],[183,99,theory(equality)])).
% cnf(922,negated_conjecture,(relation_rng(relation_composition(esk11_0,esk12_0))=X1|in(esk6_2(relation_composition(esk11_0,esk12_0),X1),relation_rng(relation_composition(esk11_0,esk12_0)))|in(esk6_2(relation_composition(esk11_0,esk12_0),X1),X1)),inference(spm,[status(thm)],[797,100,theory(equality)])).
% cnf(1230,plain,(in(X1,X2)|relation_image(X3,X4)!=X2|relation_composition(X5,X3)!=X6|relation_rng(X5)!=X4|~relation(X3)|~relation(X6)|~relation(X5)|relation_rng(X6)!=X7|~in(X1,X7)),inference(spm,[status(thm)],[704,41,theory(equality)])).
% cnf(1245,plain,(in(X1,relation_image(X2,X3))|relation_composition(X4,X2)!=X5|relation_rng(X4)!=X3|relation_rng(X5)!=X6|~in(X1,X6)|~relation(X2)|~relation(X5)|~relation(X4)),inference(er,[status(thm)],[1230,theory(equality)])).
% cnf(1248,plain,(in(X1,relation_image(X2,X3))|relation_rng(X4)!=X3|relation_rng(relation_composition(X4,X2))!=X5|~in(X1,X5)|~relation(X2)|~relation(relation_composition(X4,X2))|~relation(X4)),inference(er,[status(thm)],[1245,theory(equality)])).
% cnf(1249,plain,(in(X1,relation_image(X2,X3))|relation_rng(relation_composition(X4,X2))!=X5|relation_rng(X4)!=X3|~in(X1,X5)|~relation(X4)|~relation(X2)),inference(csr,[status(thm)],[1248,94])).
% cnf(1250,plain,(in(X1,relation_image(X2,X3))|relation_rng(X4)!=X3|~in(X1,relation_rng(relation_composition(X4,X2)))|~relation(X2)|~relation(X4)),inference(er,[status(thm)],[1249,theory(equality)])).
% cnf(1292,negated_conjecture,(in(esk6_2(relation_composition(esk11_0,esk12_0),X1),relation_image(esk12_0,X2))|relation_rng(relation_composition(esk11_0,esk12_0))=X1|in(esk6_2(relation_composition(esk11_0,esk12_0),X1),X1)|relation_rng(esk11_0)!=X2|~relation(esk12_0)|~relation(esk11_0)),inference(spm,[status(thm)],[1250,922,theory(equality)])).
% cnf(1310,negated_conjecture,(in(esk6_2(relation_composition(esk11_0,esk12_0),X1),relation_image(esk12_0,X2))|relation_rng(relation_composition(esk11_0,esk12_0))=X1|in(esk6_2(relation_composition(esk11_0,esk12_0),X1),X1)|relation_rng(esk11_0)!=X2|$false|~relation(esk11_0)),inference(rw,[status(thm)],[1292,99,theory(equality)])).
% cnf(1311,negated_conjecture,(in(esk6_2(relation_composition(esk11_0,esk12_0),X1),relation_image(esk12_0,X2))|relation_rng(relation_composition(esk11_0,esk12_0))=X1|in(esk6_2(relation_composition(esk11_0,esk12_0),X1),X1)|relation_rng(esk11_0)!=X2|$false|$false),inference(rw,[status(thm)],[1310,100,theory(equality)])).
% cnf(1312,negated_conjecture,(in(esk6_2(relation_composition(esk11_0,esk12_0),X1),relation_image(esk12_0,X2))|relation_rng(relation_composition(esk11_0,esk12_0))=X1|in(esk6_2(relation_composition(esk11_0,esk12_0),X1),X1)|relation_rng(esk11_0)!=X2),inference(cn,[status(thm)],[1311,theory(equality)])).
% cnf(1432,negated_conjecture,(relation_rng(relation_composition(esk11_0,esk12_0))=X1|in(esk6_2(relation_composition(esk11_0,esk12_0),X1),relation_image(esk12_0,relation_rng(esk11_0)))|in(esk6_2(relation_composition(esk11_0,esk12_0),X1),X1)),inference(er,[status(thm)],[1312,theory(equality)])).
% cnf(1436,negated_conjecture,(relation_rng(relation_composition(esk11_0,esk12_0))=relation_image(esk12_0,relation_rng(esk11_0))|in(esk6_2(relation_composition(esk11_0,esk12_0),relation_image(esk12_0,relation_rng(esk11_0))),relation_image(esk12_0,relation_rng(esk11_0)))),inference(ef,[status(thm)],[1432,theory(equality)])).
% cnf(1452,negated_conjecture,(in(esk6_2(relation_composition(esk11_0,esk12_0),relation_image(esk12_0,relation_rng(esk11_0))),relation_image(esk12_0,relation_rng(esk11_0)))),inference(sr,[status(thm)],[1436,98,theory(equality)])).
% cnf(1458,negated_conjecture,(relation_rng(relation_composition(esk11_0,esk12_0))=relation_image(esk12_0,relation_rng(esk11_0))|relation_rng(relation_composition(esk11_0,esk12_0))!=X1|~in(esk6_2(relation_composition(esk11_0,esk12_0),relation_image(esk12_0,relation_rng(esk11_0))),X1)|~relation(relation_composition(esk11_0,esk12_0))),inference(spm,[status(thm)],[115,1452,theory(equality)])).
% cnf(1463,negated_conjecture,(relation_rng(relation_composition(esk11_0,esk12_0))!=X1|~in(esk6_2(relation_composition(esk11_0,esk12_0),relation_image(esk12_0,relation_rng(esk11_0))),X1)|~relation(relation_composition(esk11_0,esk12_0))),inference(sr,[status(thm)],[1458,98,theory(equality)])).
% cnf(7443,plain,(in(X1,X2)|relation_rng(X3)!=X2|~relation(X3)|relation_composition(X4,X7)!=X3|relation_image(X7,X8)!=X9|relation_image(X4,X5)!=X6|~in(esk8_4(X7,X8,X9,X1),X6)|~in(X1,X9)|~relation(X7)|~relation(X4)),inference(spm,[status(thm)],[42,467,theory(equality)])).
% cnf(431208,plain,(in(X1,X2)|relation_composition(X3,X4)!=X5|relation_image(X4,X6)!=X7|relation_image(X3,X8)!=X6|relation_rng(X5)!=X2|~in(X1,X7)|~relation(X5)|~relation(X4)|~relation(X3)),inference(spm,[status(thm)],[7443,50,theory(equality)])).
% cnf(436539,plain,(in(X1,X2)|relation_image(X3,X4)!=X5|relation_image(X6,X7)!=X4|relation_rng(relation_composition(X6,X3))!=X2|~in(X1,X5)|~relation(relation_composition(X6,X3))|~relation(X3)|~relation(X6)),inference(er,[status(thm)],[431208,theory(equality)])).
% cnf(436545,plain,(in(X1,X2)|relation_rng(relation_composition(X6,X3))!=X2|relation_image(X3,X4)!=X5|relation_image(X6,X7)!=X4|~in(X1,X5)|~relation(X3)|~relation(X6)),inference(csr,[status(thm)],[436539,94])).
% cnf(436546,plain,(in(X1,relation_rng(relation_composition(X2,X3)))|relation_image(X3,X4)!=X5|relation_image(X2,X6)!=X4|~in(X1,X5)|~relation(X3)|~relation(X2)),inference(er,[status(thm)],[436545,theory(equality)])).
% cnf(436696,plain,(in(X1,relation_rng(relation_composition(X2,X3)))|relation_image(X2,X4)!=X5|~in(X1,relation_image(X3,X5))|~relation(X3)|~relation(X2)),inference(er,[status(thm)],[436546,theory(equality)])).
% cnf(437809,negated_conjecture,(in(esk6_2(relation_composition(esk11_0,esk12_0),relation_image(esk12_0,relation_rng(esk11_0))),relation_rng(relation_composition(X1,esk12_0)))|relation_image(X1,X2)!=relation_rng(esk11_0)|~relation(esk12_0)|~relation(X1)),inference(spm,[status(thm)],[436696,1452,theory(equality)])).
% cnf(438696,negated_conjecture,(in(esk6_2(relation_composition(esk11_0,esk12_0),relation_image(esk12_0,relation_rng(esk11_0))),relation_rng(relation_composition(X1,esk12_0)))|relation_image(X1,X2)!=relation_rng(esk11_0)|$false|~relation(X1)),inference(rw,[status(thm)],[437809,99,theory(equality)])).
% cnf(438697,negated_conjecture,(in(esk6_2(relation_composition(esk11_0,esk12_0),relation_image(esk12_0,relation_rng(esk11_0))),relation_rng(relation_composition(X1,esk12_0)))|relation_image(X1,X2)!=relation_rng(esk11_0)|~relation(X1)),inference(cn,[status(thm)],[438696,theory(equality)])).
% cnf(439223,negated_conjecture,(in(esk6_2(relation_composition(esk11_0,esk12_0),relation_image(esk12_0,relation_rng(esk11_0))),relation_rng(relation_composition(X1,esk12_0)))|relation_rng(X1)!=relation_rng(esk11_0)|~relation(X1)),inference(spm,[status(thm)],[438697,91,theory(equality)])).
% cnf(439334,negated_conjecture,(relation_rng(relation_composition(esk11_0,esk12_0))!=relation_rng(relation_composition(X1,esk12_0))|~relation(relation_composition(esk11_0,esk12_0))|relation_rng(X1)!=relation_rng(esk11_0)|~relation(X1)),inference(spm,[status(thm)],[1463,439223,theory(equality)])).
% cnf(439372,negated_conjecture,(~relation(relation_composition(esk11_0,esk12_0))|~relation(esk11_0)),inference(er,[status(thm)],[439334,theory(equality)])).
% cnf(439373,negated_conjecture,(~relation(relation_composition(esk11_0,esk12_0))|$false),inference(rw,[status(thm)],[439372,100,theory(equality)])).
% cnf(439374,negated_conjecture,(~relation(relation_composition(esk11_0,esk12_0))),inference(cn,[status(thm)],[439373,theory(equality)])).
% cnf(439376,negated_conjecture,(~relation(esk12_0)|~relation(esk11_0)),inference(spm,[status(thm)],[439374,94,theory(equality)])).
% cnf(439380,negated_conjecture,($false|~relation(esk11_0)),inference(rw,[status(thm)],[439376,99,theory(equality)])).
% cnf(439381,negated_conjecture,($false|$false),inference(rw,[status(thm)],[439380,100,theory(equality)])).
% cnf(439382,negated_conjecture,($false),inference(cn,[status(thm)],[439381,theory(equality)])).
% cnf(439383,negated_conjecture,($false),439382,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 24169
% # ...of these trivial                : 966
% # ...subsumed                        : 14332
% # ...remaining for further processing: 8871
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 319
% # Backward-rewritten                 : 12
% # Generated clauses                  : 293067
% # ...of the previous two non-trivial : 289847
% # Contextual simplify-reflections    : 22391
% # Paramodulations                    : 290704
% # Factorizations                     : 184
% # Equation resolutions               : 1872
% # Current number of processed clauses: 8388
% #    Positive orientable unit clauses: 9
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 8
% #    Non-unit-clauses                : 8371
% # Current number of unprocessed clauses: 260384
% # ...number of literals in the above : 2702746
% # Clause-clause subsumption calls (NU) : 11227350
% # Rec. Clause-clause subsumption calls : 617793
% # Unit Clause-clause subsumption calls : 32048
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 7
% # Indexed BW rewrite successes       : 6
% # Backwards rewriting index:  1635 leaves,   4.42+/-8.754 terms/leaf
% # Paramod-from index:          248 leaves,   4.64+/-5.414 terms/leaf
% # Paramod-into index:          948 leaves,   3.63+/-5.201 terms/leaf
% # -------------------------------------------------
% # User time              : 48.548 s
% # System time            : 0.786 s
% # Total time             : 49.333 s
% # Maximum resident set size: 0 pages
% PrfWatch: 60.80 CPU 62.25 WC
% PrfWatch: 60.83 CPU 62.27 WC
% FINAL PrfWatch: 60.83 CPU 62.27 WC
% SZS output end Solution for /tmp/SystemOnTPTP4016/SEU207+2.tptp
% 
%------------------------------------------------------------------------------