TSTP Solution File: SEU208+2 by SRASS---0.1
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%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU208+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 : art09.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 01:49:16 EST 2010
% Result : Theorem 80.99s
% Output : Solution 81.72s
% 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/SystemOnTPTP24352/SEU208+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% not found
% Adding ~C to TBU ... ~t166_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 ... d14_relat_1:
% CSA axiom d14_relat_1 found
% Looking for CSA axiom ... d5_relat_1:
% CSA axiom d5_relat_1 found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT ...
% no
% Looking for TBU UNS ...
% yes - theorem proved
% ---- Selection completed
% Selected axioms are ... :d5_relat_1:d14_relat_1:antisymmetry_r2_hidden (3)
% Unselected axioms are ... :d1_relat_1:d2_relat_1:t20_relat_1:d3_relat_1:t115_relat_1:t30_relat_1:fc6_relat_1:fc8_relat_1:l55_zfmisc_1:t106_zfmisc_1:t56_relat_1:d4_relat_1:t33_zfmisc_1:d10_relat_1:d11_relat_1:d12_relat_1:d13_relat_1:d7_relat_1:d8_relat_1:t143_relat_1:t74_relat_1:d2_zfmisc_1:fc1_zfmisc_1:d1_xboole_0:d3_tarski:dt_k8_relat_1:existence_m1_subset_1:involutiveness_k4_relat_1:rc1_xboole_0:rc2_xboole_0:reflexivity_r1_tarski:symmetry_r1_xboole_0:t1_xboole_1:t2_tarski:t116_relat_1:t118_relat_1:t144_relat_1:t45_relat_1:t99_relat_1:cc1_relat_1:rc1_relat_1:rc2_relat_1:t1_subset:t7_boole:dt_k5_relat_1:fc1_relat_1:fc2_relat_1:dt_k4_relat_1:dt_k6_relat_1:dt_k7_relat_1:t3_xboole_0:t160_relat_1:t25_relat_1:t140_relat_1:t86_relat_1:d1_setfam_1:t117_relat_1:commutativity_k2_xboole_0:commutativity_k3_xboole_0:fc5_relat_1:fc7_relat_1:idempotence_k2_xboole_0:idempotence_k3_xboole_0:t3_xboole_1:d2_subset_1:fc4_relat_1:l3_subset_1:l71_subset_1:t119_relat_1:t145_relat_1:t2_subset:t4_subset:t64_relat_1:t65_relat_1:t94_relat_1:fc10_relat_1:fc9_relat_1:l1_zfmisc_1:l2_zfmisc_1:t146_relat_1:t37_relat_1:t37_zfmisc_1:t6_boole:l50_zfmisc_1:t1_boole:t21_relat_1:t2_boole:t38_zfmisc_1:t3_boole:t4_boole:t88_relat_1:t8_boole:t92_zfmisc_1:t9_tarski:d10_xboole_0:d1_tarski:d2_xboole_0:d3_xboole_0:d4_xboole_0:d2_tarski:d4_tarski:t118_zfmisc_1:t119_zfmisc_1:t60_relat_1:t2_xboole_1:t71_relat_1:t90_relat_1:fc4_subset_1:t46_relat_1:t47_relat_1:antisymmetry_r2_xboole_0:d1_zfmisc_1:d6_relat_1:fc1_subset_1:fc1_xboole_0:irreflexivity_r2_xboole_0:t136_zfmisc_1:t6_zfmisc_1:d7_xboole_0:fc2_subset_1:fc2_xboole_0:fc3_subset_1:fc3_xboole_0:l3_zfmisc_1:t1_zfmisc_1:t44_relat_1:t5_subset:l23_zfmisc_1:l32_xboole_1:l4_zfmisc_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:rc1_subset_1:rc2_subset_1:t12_xboole_1:t17_xboole_1:t19_xboole_1:t26_xboole_1:t28_xboole_1:t3_subset:t50_subset_1:t60_xboole_1:t63_xboole_1:commutativity_k2_tarski: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:t10_zfmisc_1:t39_xboole_1:t40_xboole_1:t48_xboole_1:t4_xboole_0:t99_zfmisc_1:t43_subset_1: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:redefinition_k6_setfam_1:redefinition_k6_subset_1:t45_xboole_1:t46_setfam_1:d8_setfam_1:redefinition_k5_setfam_1:t47_setfam_1:t48_setfam_1:dt_k10_relat_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 (201)
% SZS status THM for /tmp/SystemOnTPTP24352/SEU208+2.tptp
% Looking for THM ...
% found
% SZS output start Solution for /tmp/SystemOnTPTP24352/SEU208+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 25287
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 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]:(relation(X1)=>![X2]:![X3]:(X3=relation_inverse_image(X1,X2)<=>![X4]:(in(X4,X3)<=>?[X5]:(in(ordered_pair(X4,X5),X1)&in(X5,X2))))),file('/tmp/SRASS.s.p', d14_relat_1)).
% fof(4, conjecture,![X1]:![X2]:![X3]:(relation(X3)=>(in(X1,relation_inverse_image(X3,X2))<=>?[X4]:((in(X4,relation_rng(X3))&in(ordered_pair(X1,X4),X3))&in(X4,X2)))),file('/tmp/SRASS.s.p', t166_relat_1)).
% fof(5, negated_conjecture,~(![X1]:![X2]:![X3]:(relation(X3)=>(in(X1,relation_inverse_image(X3,X2))<=>?[X4]:((in(X4,relation_rng(X3))&in(ordered_pair(X1,X4),X3))&in(X4,X2))))),inference(assume_negation,[status(cth)],[4])).
% fof(7, 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(8, 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)],[7])).
% fof(9, 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)],[8])).
% fof(10, 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)],[9])).
% fof(11, 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)],[10])).
% cnf(13,plain,(in(X3,X2)|~relation(X1)|X2!=relation_rng(X1)|~in(ordered_pair(X4,X3),X1)),inference(split_conjunct,[status(thm)],[11])).
% fof(16, plain,![X1]:(~(relation(X1))|![X2]:![X3]:((~(X3=relation_inverse_image(X1,X2))|![X4]:((~(in(X4,X3))|?[X5]:(in(ordered_pair(X4,X5),X1)&in(X5,X2)))&(![X5]:(~(in(ordered_pair(X4,X5),X1))|~(in(X5,X2)))|in(X4,X3))))&(?[X4]:((~(in(X4,X3))|![X5]:(~(in(ordered_pair(X4,X5),X1))|~(in(X5,X2))))&(in(X4,X3)|?[X5]:(in(ordered_pair(X4,X5),X1)&in(X5,X2))))|X3=relation_inverse_image(X1,X2)))),inference(fof_nnf,[status(thm)],[2])).
% fof(17, plain,![X6]:(~(relation(X6))|![X7]:![X8]:((~(X8=relation_inverse_image(X6,X7))|![X9]:((~(in(X9,X8))|?[X10]:(in(ordered_pair(X9,X10),X6)&in(X10,X7)))&(![X11]:(~(in(ordered_pair(X9,X11),X6))|~(in(X11,X7)))|in(X9,X8))))&(?[X12]:((~(in(X12,X8))|![X13]:(~(in(ordered_pair(X12,X13),X6))|~(in(X13,X7))))&(in(X12,X8)|?[X14]:(in(ordered_pair(X12,X14),X6)&in(X14,X7))))|X8=relation_inverse_image(X6,X7)))),inference(variable_rename,[status(thm)],[16])).
% fof(18, plain,![X6]:(~(relation(X6))|![X7]:![X8]:((~(X8=relation_inverse_image(X6,X7))|![X9]:((~(in(X9,X8))|(in(ordered_pair(X9,esk4_4(X6,X7,X8,X9)),X6)&in(esk4_4(X6,X7,X8,X9),X7)))&(![X11]:(~(in(ordered_pair(X9,X11),X6))|~(in(X11,X7)))|in(X9,X8))))&(((~(in(esk5_3(X6,X7,X8),X8))|![X13]:(~(in(ordered_pair(esk5_3(X6,X7,X8),X13),X6))|~(in(X13,X7))))&(in(esk5_3(X6,X7,X8),X8)|(in(ordered_pair(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8)),X6)&in(esk6_3(X6,X7,X8),X7))))|X8=relation_inverse_image(X6,X7)))),inference(skolemize,[status(esa)],[17])).
% fof(19, plain,![X6]:![X7]:![X8]:![X9]:![X11]:![X13]:((((((~(in(ordered_pair(esk5_3(X6,X7,X8),X13),X6))|~(in(X13,X7)))|~(in(esk5_3(X6,X7,X8),X8)))&(in(esk5_3(X6,X7,X8),X8)|(in(ordered_pair(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8)),X6)&in(esk6_3(X6,X7,X8),X7))))|X8=relation_inverse_image(X6,X7))&((((~(in(ordered_pair(X9,X11),X6))|~(in(X11,X7)))|in(X9,X8))&(~(in(X9,X8))|(in(ordered_pair(X9,esk4_4(X6,X7,X8,X9)),X6)&in(esk4_4(X6,X7,X8,X9),X7))))|~(X8=relation_inverse_image(X6,X7))))|~(relation(X6))),inference(shift_quantors,[status(thm)],[18])).
% fof(20, plain,![X6]:![X7]:![X8]:![X9]:![X11]:![X13]:((((((~(in(ordered_pair(esk5_3(X6,X7,X8),X13),X6))|~(in(X13,X7)))|~(in(esk5_3(X6,X7,X8),X8)))|X8=relation_inverse_image(X6,X7))|~(relation(X6)))&((((in(ordered_pair(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8)),X6)|in(esk5_3(X6,X7,X8),X8))|X8=relation_inverse_image(X6,X7))|~(relation(X6)))&(((in(esk6_3(X6,X7,X8),X7)|in(esk5_3(X6,X7,X8),X8))|X8=relation_inverse_image(X6,X7))|~(relation(X6)))))&(((((~(in(ordered_pair(X9,X11),X6))|~(in(X11,X7)))|in(X9,X8))|~(X8=relation_inverse_image(X6,X7)))|~(relation(X6)))&((((in(ordered_pair(X9,esk4_4(X6,X7,X8,X9)),X6)|~(in(X9,X8)))|~(X8=relation_inverse_image(X6,X7)))|~(relation(X6)))&(((in(esk4_4(X6,X7,X8,X9),X7)|~(in(X9,X8)))|~(X8=relation_inverse_image(X6,X7)))|~(relation(X6)))))),inference(distribute,[status(thm)],[19])).
% cnf(21,plain,(in(esk4_4(X1,X3,X2,X4),X3)|~relation(X1)|X2!=relation_inverse_image(X1,X3)|~in(X4,X2)),inference(split_conjunct,[status(thm)],[20])).
% cnf(22,plain,(in(ordered_pair(X4,esk4_4(X1,X3,X2,X4)),X1)|~relation(X1)|X2!=relation_inverse_image(X1,X3)|~in(X4,X2)),inference(split_conjunct,[status(thm)],[20])).
% cnf(23,plain,(in(X4,X2)|~relation(X1)|X2!=relation_inverse_image(X1,X3)|~in(X5,X3)|~in(ordered_pair(X4,X5),X1)),inference(split_conjunct,[status(thm)],[20])).
% fof(30, negated_conjecture,?[X1]:?[X2]:?[X3]:(relation(X3)&((~(in(X1,relation_inverse_image(X3,X2)))|![X4]:((~(in(X4,relation_rng(X3)))|~(in(ordered_pair(X1,X4),X3)))|~(in(X4,X2))))&(in(X1,relation_inverse_image(X3,X2))|?[X4]:((in(X4,relation_rng(X3))&in(ordered_pair(X1,X4),X3))&in(X4,X2))))),inference(fof_nnf,[status(thm)],[5])).
% fof(31, negated_conjecture,?[X5]:?[X6]:?[X7]:(relation(X7)&((~(in(X5,relation_inverse_image(X7,X6)))|![X8]:((~(in(X8,relation_rng(X7)))|~(in(ordered_pair(X5,X8),X7)))|~(in(X8,X6))))&(in(X5,relation_inverse_image(X7,X6))|?[X9]:((in(X9,relation_rng(X7))&in(ordered_pair(X5,X9),X7))&in(X9,X6))))),inference(variable_rename,[status(thm)],[30])).
% fof(32, negated_conjecture,(relation(esk9_0)&((~(in(esk7_0,relation_inverse_image(esk9_0,esk8_0)))|![X8]:((~(in(X8,relation_rng(esk9_0)))|~(in(ordered_pair(esk7_0,X8),esk9_0)))|~(in(X8,esk8_0))))&(in(esk7_0,relation_inverse_image(esk9_0,esk8_0))|((in(esk10_0,relation_rng(esk9_0))&in(ordered_pair(esk7_0,esk10_0),esk9_0))&in(esk10_0,esk8_0))))),inference(skolemize,[status(esa)],[31])).
% fof(33, negated_conjecture,![X8]:(((((~(in(X8,relation_rng(esk9_0)))|~(in(ordered_pair(esk7_0,X8),esk9_0)))|~(in(X8,esk8_0)))|~(in(esk7_0,relation_inverse_image(esk9_0,esk8_0))))&(in(esk7_0,relation_inverse_image(esk9_0,esk8_0))|((in(esk10_0,relation_rng(esk9_0))&in(ordered_pair(esk7_0,esk10_0),esk9_0))&in(esk10_0,esk8_0))))&relation(esk9_0)),inference(shift_quantors,[status(thm)],[32])).
% fof(34, negated_conjecture,![X8]:(((((~(in(X8,relation_rng(esk9_0)))|~(in(ordered_pair(esk7_0,X8),esk9_0)))|~(in(X8,esk8_0)))|~(in(esk7_0,relation_inverse_image(esk9_0,esk8_0))))&(((in(esk10_0,relation_rng(esk9_0))|in(esk7_0,relation_inverse_image(esk9_0,esk8_0)))&(in(ordered_pair(esk7_0,esk10_0),esk9_0)|in(esk7_0,relation_inverse_image(esk9_0,esk8_0))))&(in(esk10_0,esk8_0)|in(esk7_0,relation_inverse_image(esk9_0,esk8_0)))))&relation(esk9_0)),inference(distribute,[status(thm)],[33])).
% cnf(35,negated_conjecture,(relation(esk9_0)),inference(split_conjunct,[status(thm)],[34])).
% cnf(36,negated_conjecture,(in(esk7_0,relation_inverse_image(esk9_0,esk8_0))|in(esk10_0,esk8_0)),inference(split_conjunct,[status(thm)],[34])).
% cnf(37,negated_conjecture,(in(esk7_0,relation_inverse_image(esk9_0,esk8_0))|in(ordered_pair(esk7_0,esk10_0),esk9_0)),inference(split_conjunct,[status(thm)],[34])).
% cnf(39,negated_conjecture,(~in(esk7_0,relation_inverse_image(esk9_0,esk8_0))|~in(X1,esk8_0)|~in(ordered_pair(esk7_0,X1),esk9_0)|~in(X1,relation_rng(esk9_0))),inference(split_conjunct,[status(thm)],[34])).
% cnf(52,negated_conjecture,(in(esk7_0,X1)|in(esk7_0,relation_inverse_image(esk9_0,esk8_0))|relation_inverse_image(esk9_0,X2)!=X1|~in(esk10_0,X2)|~relation(esk9_0)),inference(spm,[status(thm)],[23,37,theory(equality)])).
% cnf(54,negated_conjecture,(in(esk7_0,X1)|in(esk7_0,relation_inverse_image(esk9_0,esk8_0))|relation_inverse_image(esk9_0,X2)!=X1|~in(esk10_0,X2)|$false),inference(rw,[status(thm)],[52,35,theory(equality)])).
% cnf(55,negated_conjecture,(in(esk7_0,X1)|in(esk7_0,relation_inverse_image(esk9_0,esk8_0))|relation_inverse_image(esk9_0,X2)!=X1|~in(esk10_0,X2)),inference(cn,[status(thm)],[54,theory(equality)])).
% cnf(62,plain,(in(esk4_4(X1,X2,X3,X4),X5)|relation_rng(X1)!=X5|~relation(X1)|relation_inverse_image(X1,X2)!=X3|~in(X4,X3)),inference(spm,[status(thm)],[13,22,theory(equality)])).
% cnf(75,negated_conjecture,(in(esk7_0,relation_inverse_image(esk9_0,esk8_0))|in(esk7_0,relation_inverse_image(esk9_0,X1))|~in(esk10_0,X1)),inference(er,[status(thm)],[55,theory(equality)])).
% cnf(94,negated_conjecture,(~in(esk7_0,relation_inverse_image(esk9_0,esk8_0))|~in(ordered_pair(esk7_0,esk4_4(X1,X2,X3,X4)),esk9_0)|~in(esk4_4(X1,X2,X3,X4),esk8_0)|relation_inverse_image(X1,X2)!=X3|relation_rng(X1)!=relation_rng(esk9_0)|~in(X4,X3)|~relation(X1)),inference(spm,[status(thm)],[39,62,theory(equality)])).
% cnf(127,negated_conjecture,(relation_inverse_image(esk9_0,X1)!=X2|~in(esk7_0,relation_inverse_image(esk9_0,esk8_0))|~in(esk4_4(esk9_0,X1,X2,esk7_0),esk8_0)|~in(esk7_0,X2)|~relation(esk9_0)),inference(spm,[status(thm)],[94,22,theory(equality)])).
% cnf(128,negated_conjecture,(relation_inverse_image(esk9_0,X1)!=X2|~in(esk7_0,relation_inverse_image(esk9_0,esk8_0))|~in(esk4_4(esk9_0,X1,X2,esk7_0),esk8_0)|~in(esk7_0,X2)|$false),inference(rw,[status(thm)],[127,35,theory(equality)])).
% cnf(129,negated_conjecture,(relation_inverse_image(esk9_0,X1)!=X2|~in(esk7_0,relation_inverse_image(esk9_0,esk8_0))|~in(esk4_4(esk9_0,X1,X2,esk7_0),esk8_0)|~in(esk7_0,X2)),inference(cn,[status(thm)],[128,theory(equality)])).
% cnf(130,negated_conjecture,(relation_inverse_image(esk9_0,esk8_0)!=X1|~in(esk7_0,relation_inverse_image(esk9_0,esk8_0))|~in(esk7_0,X1)|~relation(esk9_0)),inference(spm,[status(thm)],[129,21,theory(equality)])).
% cnf(132,negated_conjecture,(relation_inverse_image(esk9_0,esk8_0)!=X1|~in(esk7_0,relation_inverse_image(esk9_0,esk8_0))|~in(esk7_0,X1)|$false),inference(rw,[status(thm)],[130,35,theory(equality)])).
% cnf(133,negated_conjecture,(relation_inverse_image(esk9_0,esk8_0)!=X1|~in(esk7_0,relation_inverse_image(esk9_0,esk8_0))|~in(esk7_0,X1)),inference(cn,[status(thm)],[132,theory(equality)])).
% cnf(136,negated_conjecture,(in(esk10_0,esk8_0)|relation_inverse_image(esk9_0,esk8_0)!=X1|~in(esk7_0,X1)),inference(spm,[status(thm)],[133,36,theory(equality)])).
% cnf(138,negated_conjecture,(in(esk10_0,esk8_0)|~in(esk7_0,relation_inverse_image(esk9_0,esk8_0))),inference(er,[status(thm)],[136,theory(equality)])).
% cnf(139,negated_conjecture,(in(esk10_0,esk8_0)),inference(csr,[status(thm)],[138,36])).
% cnf(141,negated_conjecture,(in(esk7_0,relation_inverse_image(esk9_0,esk8_0))),inference(spm,[status(thm)],[75,139,theory(equality)])).
% cnf(150,negated_conjecture,(relation_inverse_image(esk9_0,esk8_0)!=X1|$false|~in(esk7_0,X1)),inference(rw,[status(thm)],[133,141,theory(equality)])).
% cnf(151,negated_conjecture,(relation_inverse_image(esk9_0,esk8_0)!=X1|~in(esk7_0,X1)),inference(cn,[status(thm)],[150,theory(equality)])).
% cnf(180,negated_conjecture,(~in(esk7_0,relation_inverse_image(esk9_0,esk8_0))),inference(er,[status(thm)],[151,theory(equality)])).
% cnf(181,negated_conjecture,($false),inference(rw,[status(thm)],[180,141,theory(equality)])).
% cnf(182,negated_conjecture,($false),inference(cn,[status(thm)],[181,theory(equality)])).
% cnf(183,negated_conjecture,($false),182,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 80
% # ...of these trivial : 1
% # ...subsumed : 1
% # ...remaining for further processing: 78
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 2
% # Backward-rewritten : 24
% # Generated clauses : 83
% # ...of the previous two non-trivial : 89
% # Contextual simplify-reflections : 1
% # Paramodulations : 74
% # Factorizations : 2
% # Equation resolutions : 7
% # Current number of processed clauses: 36
% # Positive orientable unit clauses: 3
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 0
% # Non-unit-clauses : 33
% # Current number of unprocessed clauses: 38
% # ...number of literals in the above : 201
% # Clause-clause subsumption calls (NU) : 370
% # Rec. Clause-clause subsumption calls : 199
% # Unit Clause-clause subsumption calls : 4
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 2
% # Indexed BW rewrite successes : 2
% # Backwards rewriting index: 64 leaves, 1.42+/-1.332 terms/leaf
% # Paramod-from index: 13 leaves, 1.08+/-0.266 terms/leaf
% # Paramod-into index: 54 leaves, 1.20+/-0.486 terms/leaf
% # -------------------------------------------------
% # User time : 0.020 s
% # System time : 0.004 s
% # Total time : 0.024 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.11 CPU 0.19 WC
% FINAL PrfWatch: 0.11 CPU 0.19 WC
% SZS output end Solution for /tmp/SystemOnTPTP24352/SEU208+2.tptp
%
%------------------------------------------------------------------------------