TSTP Solution File: SEU181+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU181+1 : 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 01:31:37 EST 2010
% Result : Theorem 84.99s
% Output : Solution 87.07s
% 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/SystemOnTPTP12834/SEU181+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% not found
% Adding ~C to TBU ... ~t37_relat_1:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... dt_k4_relat_1:
% CSA axiom dt_k4_relat_1 found
% Looking for CSA axiom ... involutiveness_k4_relat_1:
% CSA axiom involutiveness_k4_relat_1 found
% Looking for CSA axiom ... d4_relat_1:
% CSA axiom d4_relat_1 found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... d5_relat_1: CSA axiom d5_relat_1 found
% Looking for CSA axiom ... d7_relat_1:
% CSA axiom d7_relat_1 found
% Looking for CSA axiom ... rc1_relat_1:
% CSA axiom rc1_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 ... :rc1_relat_1:d7_relat_1:d5_relat_1:d4_relat_1:involutiveness_k4_relat_1:dt_k4_relat_1 (6)
% Unselected axioms are ... :t8_boole:antisymmetry_r2_hidden:rc1_xboole_0:rc2_xboole_0:reflexivity_r1_tarski:d10_xboole_0:commutativity_k2_tarski:existence_m1_subset_1:fc1_xboole_0:fc3_subset_1:t6_boole:fc1_zfmisc_1:d3_tarski:t7_boole:t1_subset:d5_tarski:fc1_subset_1:t2_subset:t4_subset:fc2_subset_1:t3_subset:t5_subset:rc1_subset_1:rc2_subset_1:dt_k1_relat_1:dt_k1_tarski:dt_k1_xboole_0:dt_k1_zfmisc_1:dt_k2_relat_1:dt_k2_tarski:dt_k4_tarski:dt_m1_subset_1 (32)
% SZS status THM for /tmp/SystemOnTPTP12834/SEU181+1.tptp
% Looking for THM ...
% found
% SZS output start Solution for /tmp/SystemOnTPTP12834/SEU181+1.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 14175
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time : 0.011 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:(relation(X1)=>![X2]:(relation(X2)=>(X2=relation_inverse(X1)<=>![X3]:![X4]:(in(ordered_pair(X3,X4),X2)<=>in(ordered_pair(X4,X3),X1))))),file('/tmp/SRASS.s.p', d7_relat_1)).
% fof(3, 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(4, axiom,![X1]:(relation(X1)=>![X2]:(X2=relation_dom(X1)<=>![X3]:(in(X3,X2)<=>?[X4]:in(ordered_pair(X3,X4),X1)))),file('/tmp/SRASS.s.p', d4_relat_1)).
% fof(6, axiom,![X1]:(relation(X1)=>relation(relation_inverse(X1))),file('/tmp/SRASS.s.p', dt_k4_relat_1)).
% fof(7, conjecture,![X1]:(relation(X1)=>(relation_rng(X1)=relation_dom(relation_inverse(X1))&relation_dom(X1)=relation_rng(relation_inverse(X1)))),file('/tmp/SRASS.s.p', t37_relat_1)).
% fof(8, negated_conjecture,~(![X1]:(relation(X1)=>(relation_rng(X1)=relation_dom(relation_inverse(X1))&relation_dom(X1)=relation_rng(relation_inverse(X1))))),inference(assume_negation,[status(cth)],[7])).
% fof(13, plain,![X1]:(~(relation(X1))|![X2]:(~(relation(X2))|((~(X2=relation_inverse(X1))|![X3]:![X4]:((~(in(ordered_pair(X3,X4),X2))|in(ordered_pair(X4,X3),X1))&(~(in(ordered_pair(X4,X3),X1))|in(ordered_pair(X3,X4),X2))))&(?[X3]:?[X4]:((~(in(ordered_pair(X3,X4),X2))|~(in(ordered_pair(X4,X3),X1)))&(in(ordered_pair(X3,X4),X2)|in(ordered_pair(X4,X3),X1)))|X2=relation_inverse(X1))))),inference(fof_nnf,[status(thm)],[2])).
% fof(14, plain,![X5]:(~(relation(X5))|![X6]:(~(relation(X6))|((~(X6=relation_inverse(X5))|![X7]:![X8]:((~(in(ordered_pair(X7,X8),X6))|in(ordered_pair(X8,X7),X5))&(~(in(ordered_pair(X8,X7),X5))|in(ordered_pair(X7,X8),X6))))&(?[X9]:?[X10]:((~(in(ordered_pair(X9,X10),X6))|~(in(ordered_pair(X10,X9),X5)))&(in(ordered_pair(X9,X10),X6)|in(ordered_pair(X10,X9),X5)))|X6=relation_inverse(X5))))),inference(variable_rename,[status(thm)],[13])).
% fof(15, plain,![X5]:(~(relation(X5))|![X6]:(~(relation(X6))|((~(X6=relation_inverse(X5))|![X7]:![X8]:((~(in(ordered_pair(X7,X8),X6))|in(ordered_pair(X8,X7),X5))&(~(in(ordered_pair(X8,X7),X5))|in(ordered_pair(X7,X8),X6))))&(((~(in(ordered_pair(esk2_2(X5,X6),esk3_2(X5,X6)),X6))|~(in(ordered_pair(esk3_2(X5,X6),esk2_2(X5,X6)),X5)))&(in(ordered_pair(esk2_2(X5,X6),esk3_2(X5,X6)),X6)|in(ordered_pair(esk3_2(X5,X6),esk2_2(X5,X6)),X5)))|X6=relation_inverse(X5))))),inference(skolemize,[status(esa)],[14])).
% fof(16, plain,![X5]:![X6]:![X7]:![X8]:((((((~(in(ordered_pair(X7,X8),X6))|in(ordered_pair(X8,X7),X5))&(~(in(ordered_pair(X8,X7),X5))|in(ordered_pair(X7,X8),X6)))|~(X6=relation_inverse(X5)))&(((~(in(ordered_pair(esk2_2(X5,X6),esk3_2(X5,X6)),X6))|~(in(ordered_pair(esk3_2(X5,X6),esk2_2(X5,X6)),X5)))&(in(ordered_pair(esk2_2(X5,X6),esk3_2(X5,X6)),X6)|in(ordered_pair(esk3_2(X5,X6),esk2_2(X5,X6)),X5)))|X6=relation_inverse(X5)))|~(relation(X6)))|~(relation(X5))),inference(shift_quantors,[status(thm)],[15])).
% fof(17, plain,![X5]:![X6]:![X7]:![X8]:((((((~(in(ordered_pair(X7,X8),X6))|in(ordered_pair(X8,X7),X5))|~(X6=relation_inverse(X5)))|~(relation(X6)))|~(relation(X5)))&((((~(in(ordered_pair(X8,X7),X5))|in(ordered_pair(X7,X8),X6))|~(X6=relation_inverse(X5)))|~(relation(X6)))|~(relation(X5))))&(((((~(in(ordered_pair(esk2_2(X5,X6),esk3_2(X5,X6)),X6))|~(in(ordered_pair(esk3_2(X5,X6),esk2_2(X5,X6)),X5)))|X6=relation_inverse(X5))|~(relation(X6)))|~(relation(X5)))&((((in(ordered_pair(esk2_2(X5,X6),esk3_2(X5,X6)),X6)|in(ordered_pair(esk3_2(X5,X6),esk2_2(X5,X6)),X5))|X6=relation_inverse(X5))|~(relation(X6)))|~(relation(X5))))),inference(distribute,[status(thm)],[16])).
% cnf(20,plain,(in(ordered_pair(X3,X4),X2)|~relation(X1)|~relation(X2)|X2!=relation_inverse(X1)|~in(ordered_pair(X4,X3),X1)),inference(split_conjunct,[status(thm)],[17])).
% cnf(21,plain,(in(ordered_pair(X3,X4),X1)|~relation(X1)|~relation(X2)|X2!=relation_inverse(X1)|~in(ordered_pair(X4,X3),X2)),inference(split_conjunct,[status(thm)],[17])).
% fof(22, 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)],[3])).
% fof(23, 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)],[22])).
% fof(24, plain,![X5]:(~(relation(X5))|![X6]:((~(X6=relation_rng(X5))|![X7]:((~(in(X7,X6))|in(ordered_pair(esk4_3(X5,X6,X7),X7),X5))&(![X9]:~(in(ordered_pair(X9,X7),X5))|in(X7,X6))))&(((~(in(esk5_2(X5,X6),X6))|![X11]:~(in(ordered_pair(X11,esk5_2(X5,X6)),X5)))&(in(esk5_2(X5,X6),X6)|in(ordered_pair(esk6_2(X5,X6),esk5_2(X5,X6)),X5)))|X6=relation_rng(X5)))),inference(skolemize,[status(esa)],[23])).
% fof(25, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(X11,esk5_2(X5,X6)),X5))|~(in(esk5_2(X5,X6),X6)))&(in(esk5_2(X5,X6),X6)|in(ordered_pair(esk6_2(X5,X6),esk5_2(X5,X6)),X5)))|X6=relation_rng(X5))&(((~(in(ordered_pair(X9,X7),X5))|in(X7,X6))&(~(in(X7,X6))|in(ordered_pair(esk4_3(X5,X6,X7),X7),X5)))|~(X6=relation_rng(X5))))|~(relation(X5))),inference(shift_quantors,[status(thm)],[24])).
% fof(26, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(X11,esk5_2(X5,X6)),X5))|~(in(esk5_2(X5,X6),X6)))|X6=relation_rng(X5))|~(relation(X5)))&(((in(esk5_2(X5,X6),X6)|in(ordered_pair(esk6_2(X5,X6),esk5_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(esk4_3(X5,X6,X7),X7),X5))|~(X6=relation_rng(X5)))|~(relation(X5))))),inference(distribute,[status(thm)],[25])).
% cnf(27,plain,(in(ordered_pair(esk4_3(X1,X2,X3),X3),X1)|~relation(X1)|X2!=relation_rng(X1)|~in(X3,X2)),inference(split_conjunct,[status(thm)],[26])).
% cnf(28,plain,(in(X3,X2)|~relation(X1)|X2!=relation_rng(X1)|~in(ordered_pair(X4,X3),X1)),inference(split_conjunct,[status(thm)],[26])).
% cnf(29,plain,(X2=relation_rng(X1)|in(ordered_pair(esk6_2(X1,X2),esk5_2(X1,X2)),X1)|in(esk5_2(X1,X2),X2)|~relation(X1)),inference(split_conjunct,[status(thm)],[26])).
% cnf(30,plain,(X2=relation_rng(X1)|~relation(X1)|~in(esk5_2(X1,X2),X2)|~in(ordered_pair(X3,esk5_2(X1,X2)),X1)),inference(split_conjunct,[status(thm)],[26])).
% fof(31, plain,![X1]:(~(relation(X1))|![X2]:((~(X2=relation_dom(X1))|![X3]:((~(in(X3,X2))|?[X4]:in(ordered_pair(X3,X4),X1))&(![X4]:~(in(ordered_pair(X3,X4),X1))|in(X3,X2))))&(?[X3]:((~(in(X3,X2))|![X4]:~(in(ordered_pair(X3,X4),X1)))&(in(X3,X2)|?[X4]:in(ordered_pair(X3,X4),X1)))|X2=relation_dom(X1)))),inference(fof_nnf,[status(thm)],[4])).
% fof(32, plain,![X5]:(~(relation(X5))|![X6]:((~(X6=relation_dom(X5))|![X7]:((~(in(X7,X6))|?[X8]:in(ordered_pair(X7,X8),X5))&(![X9]:~(in(ordered_pair(X7,X9),X5))|in(X7,X6))))&(?[X10]:((~(in(X10,X6))|![X11]:~(in(ordered_pair(X10,X11),X5)))&(in(X10,X6)|?[X12]:in(ordered_pair(X10,X12),X5)))|X6=relation_dom(X5)))),inference(variable_rename,[status(thm)],[31])).
% fof(33, plain,![X5]:(~(relation(X5))|![X6]:((~(X6=relation_dom(X5))|![X7]:((~(in(X7,X6))|in(ordered_pair(X7,esk7_3(X5,X6,X7)),X5))&(![X9]:~(in(ordered_pair(X7,X9),X5))|in(X7,X6))))&(((~(in(esk8_2(X5,X6),X6))|![X11]:~(in(ordered_pair(esk8_2(X5,X6),X11),X5)))&(in(esk8_2(X5,X6),X6)|in(ordered_pair(esk8_2(X5,X6),esk9_2(X5,X6)),X5)))|X6=relation_dom(X5)))),inference(skolemize,[status(esa)],[32])).
% fof(34, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(esk8_2(X5,X6),X11),X5))|~(in(esk8_2(X5,X6),X6)))&(in(esk8_2(X5,X6),X6)|in(ordered_pair(esk8_2(X5,X6),esk9_2(X5,X6)),X5)))|X6=relation_dom(X5))&(((~(in(ordered_pair(X7,X9),X5))|in(X7,X6))&(~(in(X7,X6))|in(ordered_pair(X7,esk7_3(X5,X6,X7)),X5)))|~(X6=relation_dom(X5))))|~(relation(X5))),inference(shift_quantors,[status(thm)],[33])).
% fof(35, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(esk8_2(X5,X6),X11),X5))|~(in(esk8_2(X5,X6),X6)))|X6=relation_dom(X5))|~(relation(X5)))&(((in(esk8_2(X5,X6),X6)|in(ordered_pair(esk8_2(X5,X6),esk9_2(X5,X6)),X5))|X6=relation_dom(X5))|~(relation(X5))))&((((~(in(ordered_pair(X7,X9),X5))|in(X7,X6))|~(X6=relation_dom(X5)))|~(relation(X5)))&(((~(in(X7,X6))|in(ordered_pair(X7,esk7_3(X5,X6,X7)),X5))|~(X6=relation_dom(X5)))|~(relation(X5))))),inference(distribute,[status(thm)],[34])).
% cnf(36,plain,(in(ordered_pair(X3,esk7_3(X1,X2,X3)),X1)|~relation(X1)|X2!=relation_dom(X1)|~in(X3,X2)),inference(split_conjunct,[status(thm)],[35])).
% cnf(37,plain,(in(X3,X2)|~relation(X1)|X2!=relation_dom(X1)|~in(ordered_pair(X3,X4),X1)),inference(split_conjunct,[status(thm)],[35])).
% cnf(38,plain,(X2=relation_dom(X1)|in(ordered_pair(esk8_2(X1,X2),esk9_2(X1,X2)),X1)|in(esk8_2(X1,X2),X2)|~relation(X1)),inference(split_conjunct,[status(thm)],[35])).
% cnf(39,plain,(X2=relation_dom(X1)|~relation(X1)|~in(esk8_2(X1,X2),X2)|~in(ordered_pair(esk8_2(X1,X2),X3),X1)),inference(split_conjunct,[status(thm)],[35])).
% fof(43, plain,![X1]:(~(relation(X1))|relation(relation_inverse(X1))),inference(fof_nnf,[status(thm)],[6])).
% fof(44, plain,![X2]:(~(relation(X2))|relation(relation_inverse(X2))),inference(variable_rename,[status(thm)],[43])).
% cnf(45,plain,(relation(relation_inverse(X1))|~relation(X1)),inference(split_conjunct,[status(thm)],[44])).
% fof(46, negated_conjecture,?[X1]:(relation(X1)&(~(relation_rng(X1)=relation_dom(relation_inverse(X1)))|~(relation_dom(X1)=relation_rng(relation_inverse(X1))))),inference(fof_nnf,[status(thm)],[8])).
% fof(47, negated_conjecture,?[X2]:(relation(X2)&(~(relation_rng(X2)=relation_dom(relation_inverse(X2)))|~(relation_dom(X2)=relation_rng(relation_inverse(X2))))),inference(variable_rename,[status(thm)],[46])).
% fof(48, negated_conjecture,(relation(esk10_0)&(~(relation_rng(esk10_0)=relation_dom(relation_inverse(esk10_0)))|~(relation_dom(esk10_0)=relation_rng(relation_inverse(esk10_0))))),inference(skolemize,[status(esa)],[47])).
% cnf(49,negated_conjecture,(relation_dom(esk10_0)!=relation_rng(relation_inverse(esk10_0))|relation_rng(esk10_0)!=relation_dom(relation_inverse(esk10_0))),inference(split_conjunct,[status(thm)],[48])).
% cnf(50,negated_conjecture,(relation(esk10_0)),inference(split_conjunct,[status(thm)],[48])).
% cnf(52,plain,(in(ordered_pair(X1,esk7_3(X2,relation_dom(X2),X1)),X2)|~in(X1,relation_dom(X2))|~relation(X2)),inference(er,[status(thm)],[36,theory(equality)])).
% cnf(53,plain,(in(ordered_pair(esk4_3(X1,relation_rng(X1),X2),X2),X1)|~in(X2,relation_rng(X1))|~relation(X1)),inference(er,[status(thm)],[27,theory(equality)])).
% cnf(54,negated_conjecture,(relation_rng(esk10_0)=X1|in(ordered_pair(esk6_2(esk10_0,X1),esk5_2(esk10_0,X1)),esk10_0)|in(esk5_2(esk10_0,X1),X1)),inference(spm,[status(thm)],[29,50,theory(equality)])).
% cnf(57,negated_conjecture,(relation_dom(esk10_0)=X1|in(ordered_pair(esk8_2(esk10_0,X1),esk9_2(esk10_0,X1)),esk10_0)|in(esk8_2(esk10_0,X1),X1)),inference(spm,[status(thm)],[38,50,theory(equality)])).
% cnf(63,negated_conjecture,(in(esk5_2(esk10_0,X1),X2)|relation_rng(esk10_0)=X1|in(esk5_2(esk10_0,X1),X1)|relation_rng(esk10_0)!=X2|~relation(esk10_0)),inference(spm,[status(thm)],[28,54,theory(equality)])).
% cnf(77,negated_conjecture,(in(esk5_2(esk10_0,X1),X2)|relation_rng(esk10_0)=X1|in(esk5_2(esk10_0,X1),X1)|relation_rng(esk10_0)!=X2|$false),inference(rw,[status(thm)],[63,50,theory(equality)])).
% cnf(78,negated_conjecture,(in(esk5_2(esk10_0,X1),X2)|relation_rng(esk10_0)=X1|in(esk5_2(esk10_0,X1),X1)|relation_rng(esk10_0)!=X2),inference(cn,[status(thm)],[77,theory(equality)])).
% cnf(91,negated_conjecture,(in(esk8_2(esk10_0,X1),X2)|relation_dom(esk10_0)=X1|in(esk8_2(esk10_0,X1),X1)|relation_dom(esk10_0)!=X2|~relation(esk10_0)),inference(spm,[status(thm)],[37,57,theory(equality)])).
% cnf(106,negated_conjecture,(in(esk8_2(esk10_0,X1),X2)|relation_dom(esk10_0)=X1|in(esk8_2(esk10_0,X1),X1)|relation_dom(esk10_0)!=X2|$false),inference(rw,[status(thm)],[91,50,theory(equality)])).
% cnf(107,negated_conjecture,(in(esk8_2(esk10_0,X1),X2)|relation_dom(esk10_0)=X1|in(esk8_2(esk10_0,X1),X1)|relation_dom(esk10_0)!=X2),inference(cn,[status(thm)],[106,theory(equality)])).
% cnf(120,plain,(in(ordered_pair(esk7_3(X1,relation_dom(X1),X2),X2),X3)|relation_inverse(X1)!=X3|~relation(X3)|~relation(X1)|~in(X2,relation_dom(X1))),inference(spm,[status(thm)],[20,52,theory(equality)])).
% cnf(121,plain,(in(ordered_pair(esk7_3(X1,relation_dom(X1),X2),X2),X3)|relation_inverse(X3)!=X1|~relation(X1)|~relation(X3)|~in(X2,relation_dom(X1))),inference(spm,[status(thm)],[21,52,theory(equality)])).
% cnf(194,plain,(relation_rng(X1)=X2|~in(esk5_2(X1,X2),X2)|~relation(X1)|~in(esk5_2(X1,X2),relation_rng(X1))),inference(spm,[status(thm)],[30,53,theory(equality)])).
% cnf(197,plain,(in(ordered_pair(X1,esk4_3(X2,relation_rng(X2),X1)),X3)|relation_inverse(X2)!=X3|~relation(X3)|~relation(X2)|~in(X1,relation_rng(X2))),inference(spm,[status(thm)],[20,53,theory(equality)])).
% cnf(198,plain,(in(ordered_pair(X1,esk4_3(X2,relation_rng(X2),X1)),X3)|relation_inverse(X3)!=X2|~relation(X2)|~relation(X3)|~in(X1,relation_rng(X2))),inference(spm,[status(thm)],[21,53,theory(equality)])).
% cnf(237,negated_conjecture,(relation_rng(esk10_0)=X1|in(esk5_2(esk10_0,X1),X1)|in(esk5_2(esk10_0,X1),relation_rng(esk10_0))),inference(er,[status(thm)],[78,theory(equality)])).
% cnf(276,negated_conjecture,(relation_dom(esk10_0)=X1|in(esk8_2(esk10_0,X1),X1)|in(esk8_2(esk10_0,X1),relation_dom(esk10_0))),inference(er,[status(thm)],[107,theory(equality)])).
% cnf(290,plain,(in(X1,X2)|relation_rng(X3)!=X2|~relation(X3)|relation_inverse(X4)!=X3|~in(X1,relation_dom(X4))|~relation(X4)),inference(spm,[status(thm)],[28,120,theory(equality)])).
% cnf(304,negated_conjecture,(in(esk8_2(esk10_0,X1),X2)|relation_dom(esk10_0)=X1|in(esk8_2(esk10_0,X1),X1)|relation_rng(X3)!=X2|relation_inverse(esk10_0)!=X3|~relation(X3)|~relation(esk10_0)),inference(spm,[status(thm)],[290,276,theory(equality)])).
% cnf(317,negated_conjecture,(in(esk8_2(esk10_0,X1),X2)|relation_dom(esk10_0)=X1|in(esk8_2(esk10_0,X1),X1)|relation_rng(X3)!=X2|relation_inverse(esk10_0)!=X3|~relation(X3)|$false),inference(rw,[status(thm)],[304,50,theory(equality)])).
% cnf(318,negated_conjecture,(in(esk8_2(esk10_0,X1),X2)|relation_dom(esk10_0)=X1|in(esk8_2(esk10_0,X1),X1)|relation_rng(X3)!=X2|relation_inverse(esk10_0)!=X3|~relation(X3)),inference(cn,[status(thm)],[317,theory(equality)])).
% cnf(322,plain,(relation_rng(X1)=X2|~in(esk5_2(X1,X2),X2)|~relation(X1)|relation_inverse(X1)!=X3|~in(esk5_2(X1,X2),relation_dom(X3))|~relation(X3)),inference(spm,[status(thm)],[30,121,theory(equality)])).
% cnf(601,plain,(in(X1,X2)|relation_dom(X3)!=X2|~relation(X3)|relation_inverse(X4)!=X3|~in(X1,relation_rng(X4))|~relation(X4)),inference(spm,[status(thm)],[37,197,theory(equality)])).
% cnf(705,plain,(relation_dom(X1)=X2|~in(esk8_2(X1,X2),X2)|~relation(X1)|relation_inverse(X1)!=X3|~in(esk8_2(X1,X2),relation_rng(X3))|~relation(X3)),inference(spm,[status(thm)],[39,198,theory(equality)])).
% cnf(11369,negated_conjecture,(relation_rng(esk10_0)=relation_dom(X1)|in(esk5_2(esk10_0,relation_dom(X1)),relation_rng(esk10_0))|relation_inverse(esk10_0)!=X1|~in(esk5_2(esk10_0,relation_dom(X1)),relation_dom(X1))|~relation(esk10_0)|~relation(X1)),inference(spm,[status(thm)],[322,237,theory(equality)])).
% cnf(11386,negated_conjecture,(relation_rng(esk10_0)=relation_dom(X1)|in(esk5_2(esk10_0,relation_dom(X1)),relation_rng(esk10_0))|relation_inverse(esk10_0)!=X1|~in(esk5_2(esk10_0,relation_dom(X1)),relation_dom(X1))|$false|~relation(X1)),inference(rw,[status(thm)],[11369,50,theory(equality)])).
% cnf(11387,negated_conjecture,(relation_rng(esk10_0)=relation_dom(X1)|in(esk5_2(esk10_0,relation_dom(X1)),relation_rng(esk10_0))|relation_inverse(esk10_0)!=X1|~in(esk5_2(esk10_0,relation_dom(X1)),relation_dom(X1))|~relation(X1)),inference(cn,[status(thm)],[11386,theory(equality)])).
% cnf(11461,negated_conjecture,(relation_dom(X1)=relation_rng(esk10_0)|in(esk5_2(esk10_0,relation_dom(X1)),relation_rng(esk10_0))|relation_inverse(esk10_0)!=X1|~relation(X1)),inference(csr,[status(thm)],[11387,237])).
% cnf(11466,negated_conjecture,(in(esk5_2(esk10_0,relation_dom(X1)),X2)|relation_dom(X1)=relation_rng(esk10_0)|relation_dom(X3)!=X2|relation_inverse(esk10_0)!=X3|~relation(X3)|~relation(esk10_0)|relation_inverse(esk10_0)!=X1|~relation(X1)),inference(spm,[status(thm)],[601,11461,theory(equality)])).
% cnf(11472,negated_conjecture,(relation_rng(esk10_0)=relation_dom(X1)|~in(esk5_2(esk10_0,relation_dom(X1)),relation_dom(X1))|~relation(esk10_0)|relation_inverse(esk10_0)!=X1|~relation(X1)),inference(spm,[status(thm)],[194,11461,theory(equality)])).
% cnf(11500,negated_conjecture,(in(esk5_2(esk10_0,relation_dom(X1)),X2)|relation_dom(X1)=relation_rng(esk10_0)|relation_dom(X3)!=X2|relation_inverse(esk10_0)!=X3|~relation(X3)|$false|relation_inverse(esk10_0)!=X1|~relation(X1)),inference(rw,[status(thm)],[11466,50,theory(equality)])).
% cnf(11501,negated_conjecture,(in(esk5_2(esk10_0,relation_dom(X1)),X2)|relation_dom(X1)=relation_rng(esk10_0)|relation_dom(X3)!=X2|relation_inverse(esk10_0)!=X3|~relation(X3)|relation_inverse(esk10_0)!=X1|~relation(X1)),inference(cn,[status(thm)],[11500,theory(equality)])).
% cnf(11504,negated_conjecture,(relation_rng(esk10_0)=relation_dom(X1)|~in(esk5_2(esk10_0,relation_dom(X1)),relation_dom(X1))|$false|relation_inverse(esk10_0)!=X1|~relation(X1)),inference(rw,[status(thm)],[11472,50,theory(equality)])).
% cnf(11505,negated_conjecture,(relation_rng(esk10_0)=relation_dom(X1)|~in(esk5_2(esk10_0,relation_dom(X1)),relation_dom(X1))|relation_inverse(esk10_0)!=X1|~relation(X1)),inference(cn,[status(thm)],[11504,theory(equality)])).
% cnf(13709,negated_conjecture,(relation_dom(X1)=relation_rng(esk10_0)|in(esk5_2(esk10_0,relation_dom(X1)),relation_dom(X2))|relation_inverse(esk10_0)!=X2|relation_inverse(esk10_0)!=X1|~relation(X2)|~relation(X1)),inference(er,[status(thm)],[11501,theory(equality)])).
% cnf(13790,negated_conjecture,(relation_dom(X1)=relation_rng(esk10_0)|relation_inverse(esk10_0)!=X1|~relation(X1)),inference(spm,[status(thm)],[11505,13709,theory(equality)])).
% cnf(13840,negated_conjecture,(relation_dom(relation_inverse(X1))=relation_rng(esk10_0)|relation_inverse(esk10_0)!=relation_inverse(X1)|~relation(X1)),inference(spm,[status(thm)],[13790,45,theory(equality)])).
% cnf(14148,negated_conjecture,(relation_rng(relation_inverse(esk10_0))!=relation_dom(esk10_0)|~relation(esk10_0)),inference(spm,[status(thm)],[49,13840,theory(equality)])).
% cnf(14169,negated_conjecture,(relation_rng(relation_inverse(esk10_0))!=relation_dom(esk10_0)|$false),inference(rw,[status(thm)],[14148,50,theory(equality)])).
% cnf(14170,negated_conjecture,(relation_rng(relation_inverse(esk10_0))!=relation_dom(esk10_0)),inference(cn,[status(thm)],[14169,theory(equality)])).
% cnf(19822,negated_conjecture,(relation_dom(esk10_0)=X1|in(esk8_2(esk10_0,X1),X1)|in(esk8_2(esk10_0,X1),relation_rng(X2))|relation_inverse(esk10_0)!=X2|~relation(X2)),inference(er,[status(thm)],[318,theory(equality)])).
% cnf(20071,negated_conjecture,(relation_dom(esk10_0)=X1|in(esk8_2(esk10_0,X1),relation_rng(relation_inverse(esk10_0)))|in(esk8_2(esk10_0,X1),X1)|~relation(relation_inverse(esk10_0))),inference(er,[status(thm)],[19822,theory(equality)])).
% cnf(20151,negated_conjecture,(relation_dom(esk10_0)=X1|in(esk8_2(esk10_0,X1),relation_rng(relation_inverse(esk10_0)))|in(esk8_2(esk10_0,X1),X1)|~relation(esk10_0)),inference(spm,[status(thm)],[20071,45,theory(equality)])).
% cnf(20156,negated_conjecture,(relation_dom(esk10_0)=X1|in(esk8_2(esk10_0,X1),relation_rng(relation_inverse(esk10_0)))|in(esk8_2(esk10_0,X1),X1)|$false),inference(rw,[status(thm)],[20151,50,theory(equality)])).
% cnf(20157,negated_conjecture,(relation_dom(esk10_0)=X1|in(esk8_2(esk10_0,X1),relation_rng(relation_inverse(esk10_0)))|in(esk8_2(esk10_0,X1),X1)),inference(cn,[status(thm)],[20156,theory(equality)])).
% cnf(20158,negated_conjecture,(relation_dom(esk10_0)=relation_rng(relation_inverse(esk10_0))|in(esk8_2(esk10_0,relation_rng(relation_inverse(esk10_0))),relation_rng(relation_inverse(esk10_0)))),inference(ef,[status(thm)],[20157,theory(equality)])).
% cnf(20225,negated_conjecture,(in(esk8_2(esk10_0,relation_rng(relation_inverse(esk10_0))),relation_rng(relation_inverse(esk10_0)))),inference(sr,[status(thm)],[20158,14170,theory(equality)])).
% cnf(20243,negated_conjecture,(relation_dom(esk10_0)=relation_rng(relation_inverse(esk10_0))|~in(esk8_2(esk10_0,relation_rng(relation_inverse(esk10_0))),relation_rng(relation_inverse(esk10_0)))|~relation(esk10_0)|~relation(relation_inverse(esk10_0))),inference(spm,[status(thm)],[705,20225,theory(equality)])).
% cnf(20291,negated_conjecture,(relation_dom(esk10_0)=relation_rng(relation_inverse(esk10_0))|$false|~relation(esk10_0)|~relation(relation_inverse(esk10_0))),inference(rw,[status(thm)],[20243,20225,theory(equality)])).
% cnf(20292,negated_conjecture,(relation_dom(esk10_0)=relation_rng(relation_inverse(esk10_0))|$false|$false|~relation(relation_inverse(esk10_0))),inference(rw,[status(thm)],[20291,50,theory(equality)])).
% cnf(20293,negated_conjecture,(relation_dom(esk10_0)=relation_rng(relation_inverse(esk10_0))|~relation(relation_inverse(esk10_0))),inference(cn,[status(thm)],[20292,theory(equality)])).
% cnf(20294,negated_conjecture,(~relation(relation_inverse(esk10_0))),inference(sr,[status(thm)],[20293,14170,theory(equality)])).
% cnf(20313,negated_conjecture,(~relation(esk10_0)),inference(spm,[status(thm)],[20294,45,theory(equality)])).
% cnf(20318,negated_conjecture,($false),inference(rw,[status(thm)],[20313,50,theory(equality)])).
% cnf(20319,negated_conjecture,($false),inference(cn,[status(thm)],[20318,theory(equality)])).
% cnf(20320,negated_conjecture,($false),20319,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1133
% # ...of these trivial : 6
% # ...subsumed : 553
% # ...remaining for further processing: 574
% # Other redundant clauses eliminated : 1483
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 45
% # Backward-rewritten : 0
% # Generated clauses : 16050
% # ...of the previous two non-trivial : 14448
% # Contextual simplify-reflections : 719
% # Paramodulations : 14393
% # Factorizations : 28
% # Equation resolutions : 1629
% # Current number of processed clauses: 511
% # Positive orientable unit clauses: 4
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 2
% # Non-unit-clauses : 505
% # Current number of unprocessed clauses: 12737
% # ...number of literals in the above : 103713
% # Clause-clause subsumption calls (NU) : 9856
% # Rec. Clause-clause subsumption calls : 3276
% # Unit Clause-clause subsumption calls : 225
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 0
% # Indexed BW rewrite successes : 0
% # Backwards rewriting index: 369 leaves, 1.44+/-1.058 terms/leaf
% # Paramod-from index: 98 leaves, 1.36+/-0.906 terms/leaf
% # Paramod-into index: 236 leaves, 1.33+/-0.772 terms/leaf
% # -------------------------------------------------
% # User time : 0.887 s
% # System time : 0.022 s
% # Total time : 0.909 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.36 CPU 1.44 WC
% FINAL PrfWatch: 1.36 CPU 1.44 WC
% SZS output end Solution for /tmp/SystemOnTPTP12834/SEU181+1.tptp
%
%------------------------------------------------------------------------------