TSTP Solution File: SEU204+1 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SEU204+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 : art11.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory   : 2006MB
% OS       : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Thu Dec 30 01:50:14 EST 2010

% Result   : Theorem 105.58s
% Output   : Solution 106.57s
% 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/SystemOnTPTP12999/SEU204+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% not found
% Adding ~C to TBU       ... ~t144_relat_1:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... reflexivity_r1_tarski:
%  CSA axiom reflexivity_r1_tarski 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
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... cc1_relat_1:
%  CSA axiom cc1_relat_1 found
% Looking for CSA axiom ... rc1_relat_1:
%  CSA axiom rc1_relat_1 found
% Looking for CSA axiom ... rc2_relat_1:
%  CSA axiom rc2_relat_1 found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... d3_tarski:
%  CSA axiom d3_tarski found
% Looking for CSA axiom ... antisymmetry_r2_hidden:
%  CSA axiom antisymmetry_r2_hidden found
% Looking for CSA axiom ... rc1_xboole_0:
% rc2_xboole_0:
% d13_relat_1:
%  CSA axiom d13_relat_1 found
% ---- Iteration 4 (9 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... rc1_xboole_0:
% rc2_xboole_0:
% d5_relat_1:
%  CSA axiom d5_relat_1 found
% Looking for CSA axiom ... rc1_subset_1:
%  CSA axiom rc1_subset_1 found
% Looking for CSA axiom ... rc2_subset_1:
%  CSA axiom rc2_subset_1 found
% ---- Iteration 5 (12 axioms selected)
% Looking for TBU SAT   ... 
% no
% Looking for TBU UNS   ... 
% yes - theorem proved
% ---- Selection completed
% Selected axioms are   ... :rc2_subset_1:rc1_subset_1:d5_relat_1:d13_relat_1:antisymmetry_r2_hidden:d3_tarski:rc2_relat_1:rc1_relat_1:cc1_relat_1:fc8_relat_1:fc6_relat_1:reflexivity_r1_tarski (12)
% Unselected axioms are ... :rc1_xboole_0:rc2_xboole_0:t3_subset:existence_m1_subset_1:fc1_xboole_0:fc1_zfmisc_1:t8_boole:t7_boole:fc4_relat_1:t1_subset:commutativity_k2_tarski:d5_tarski:t4_subset:t6_boole:t2_subset:fc1_subset_1:t5_subset:fc2_subset_1:fc3_subset_1:dt_k1_tarski:dt_k1_xboole_0:dt_k1_zfmisc_1:dt_k2_relat_1:dt_k2_tarski:dt_k4_tarski:dt_k9_relat_1:dt_m1_subset_1 (27)
% SZS status THM for /tmp/SystemOnTPTP12999/SEU204+1.tptp
% Looking for THM       ... 
% found
% SZS output start Solution for /tmp/SystemOnTPTP12999/SEU204+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 16795
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time     : 0.013 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% 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]:![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(6, axiom,![X1]:![X2]:(subset(X1,X2)<=>![X3]:(in(X3,X1)=>in(X3,X2))),file('/tmp/SRASS.s.p', d3_tarski)).
% fof(13, conjecture,![X1]:![X2]:(relation(X2)=>subset(relation_image(X2,X1),relation_rng(X2))),file('/tmp/SRASS.s.p', t144_relat_1)).
% fof(14, negated_conjecture,~(![X1]:![X2]:(relation(X2)=>subset(relation_image(X2,X1),relation_rng(X2)))),inference(assume_negation,[status(cth)],[13])).
% fof(29, 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(30, 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)],[29])).
% fof(31, plain,![X5]:(~(relation(X5))|![X6]:((~(X6=relation_rng(X5))|![X7]:((~(in(X7,X6))|in(ordered_pair(esk3_3(X5,X6,X7),X7),X5))&(![X9]:~(in(ordered_pair(X9,X7),X5))|in(X7,X6))))&(((~(in(esk4_2(X5,X6),X6))|![X11]:~(in(ordered_pair(X11,esk4_2(X5,X6)),X5)))&(in(esk4_2(X5,X6),X6)|in(ordered_pair(esk5_2(X5,X6),esk4_2(X5,X6)),X5)))|X6=relation_rng(X5)))),inference(skolemize,[status(esa)],[30])).
% fof(32, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(X11,esk4_2(X5,X6)),X5))|~(in(esk4_2(X5,X6),X6)))&(in(esk4_2(X5,X6),X6)|in(ordered_pair(esk5_2(X5,X6),esk4_2(X5,X6)),X5)))|X6=relation_rng(X5))&(((~(in(ordered_pair(X9,X7),X5))|in(X7,X6))&(~(in(X7,X6))|in(ordered_pair(esk3_3(X5,X6,X7),X7),X5)))|~(X6=relation_rng(X5))))|~(relation(X5))),inference(shift_quantors,[status(thm)],[31])).
% fof(33, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(X11,esk4_2(X5,X6)),X5))|~(in(esk4_2(X5,X6),X6)))|X6=relation_rng(X5))|~(relation(X5)))&(((in(esk4_2(X5,X6),X6)|in(ordered_pair(esk5_2(X5,X6),esk4_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(esk3_3(X5,X6,X7),X7),X5))|~(X6=relation_rng(X5)))|~(relation(X5))))),inference(distribute,[status(thm)],[32])).
% cnf(35,plain,(in(X3,X2)|~relation(X1)|X2!=relation_rng(X1)|~in(ordered_pair(X4,X3),X1)),inference(split_conjunct,[status(thm)],[33])).
% fof(38, 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)],[4])).
% fof(39, 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)],[38])).
% fof(40, plain,![X6]:(~(relation(X6))|![X7]:![X8]:((~(X8=relation_image(X6,X7))|![X9]:((~(in(X9,X8))|(in(ordered_pair(esk6_4(X6,X7,X8,X9),X9),X6)&in(esk6_4(X6,X7,X8,X9),X7)))&(![X11]:(~(in(ordered_pair(X11,X9),X6))|~(in(X11,X7)))|in(X9,X8))))&(((~(in(esk7_3(X6,X7,X8),X8))|![X13]:(~(in(ordered_pair(X13,esk7_3(X6,X7,X8)),X6))|~(in(X13,X7))))&(in(esk7_3(X6,X7,X8),X8)|(in(ordered_pair(esk8_3(X6,X7,X8),esk7_3(X6,X7,X8)),X6)&in(esk8_3(X6,X7,X8),X7))))|X8=relation_image(X6,X7)))),inference(skolemize,[status(esa)],[39])).
% fof(41, plain,![X6]:![X7]:![X8]:![X9]:![X11]:![X13]:((((((~(in(ordered_pair(X13,esk7_3(X6,X7,X8)),X6))|~(in(X13,X7)))|~(in(esk7_3(X6,X7,X8),X8)))&(in(esk7_3(X6,X7,X8),X8)|(in(ordered_pair(esk8_3(X6,X7,X8),esk7_3(X6,X7,X8)),X6)&in(esk8_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(esk6_4(X6,X7,X8,X9),X9),X6)&in(esk6_4(X6,X7,X8,X9),X7))))|~(X8=relation_image(X6,X7))))|~(relation(X6))),inference(shift_quantors,[status(thm)],[40])).
% fof(42, plain,![X6]:![X7]:![X8]:![X9]:![X11]:![X13]:((((((~(in(ordered_pair(X13,esk7_3(X6,X7,X8)),X6))|~(in(X13,X7)))|~(in(esk7_3(X6,X7,X8),X8)))|X8=relation_image(X6,X7))|~(relation(X6)))&((((in(ordered_pair(esk8_3(X6,X7,X8),esk7_3(X6,X7,X8)),X6)|in(esk7_3(X6,X7,X8),X8))|X8=relation_image(X6,X7))|~(relation(X6)))&(((in(esk8_3(X6,X7,X8),X7)|in(esk7_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(esk6_4(X6,X7,X8,X9),X9),X6)|~(in(X9,X8)))|~(X8=relation_image(X6,X7)))|~(relation(X6)))&(((in(esk6_4(X6,X7,X8,X9),X7)|~(in(X9,X8)))|~(X8=relation_image(X6,X7)))|~(relation(X6)))))),inference(distribute,[status(thm)],[41])).
% cnf(44,plain,(in(ordered_pair(esk6_4(X1,X3,X2,X4),X4),X1)|~relation(X1)|X2!=relation_image(X1,X3)|~in(X4,X2)),inference(split_conjunct,[status(thm)],[42])).
% fof(52, plain,![X1]:![X2]:((~(subset(X1,X2))|![X3]:(~(in(X3,X1))|in(X3,X2)))&(?[X3]:(in(X3,X1)&~(in(X3,X2)))|subset(X1,X2))),inference(fof_nnf,[status(thm)],[6])).
% fof(53, plain,![X4]:![X5]:((~(subset(X4,X5))|![X6]:(~(in(X6,X4))|in(X6,X5)))&(?[X7]:(in(X7,X4)&~(in(X7,X5)))|subset(X4,X5))),inference(variable_rename,[status(thm)],[52])).
% fof(54, plain,![X4]:![X5]:((~(subset(X4,X5))|![X6]:(~(in(X6,X4))|in(X6,X5)))&((in(esk9_2(X4,X5),X4)&~(in(esk9_2(X4,X5),X5)))|subset(X4,X5))),inference(skolemize,[status(esa)],[53])).
% fof(55, plain,![X4]:![X5]:![X6]:(((~(in(X6,X4))|in(X6,X5))|~(subset(X4,X5)))&((in(esk9_2(X4,X5),X4)&~(in(esk9_2(X4,X5),X5)))|subset(X4,X5))),inference(shift_quantors,[status(thm)],[54])).
% fof(56, plain,![X4]:![X5]:![X6]:(((~(in(X6,X4))|in(X6,X5))|~(subset(X4,X5)))&((in(esk9_2(X4,X5),X4)|subset(X4,X5))&(~(in(esk9_2(X4,X5),X5))|subset(X4,X5)))),inference(distribute,[status(thm)],[55])).
% cnf(57,plain,(subset(X1,X2)|~in(esk9_2(X1,X2),X2)),inference(split_conjunct,[status(thm)],[56])).
% cnf(58,plain,(subset(X1,X2)|in(esk9_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[56])).
% fof(81, negated_conjecture,?[X1]:?[X2]:(relation(X2)&~(subset(relation_image(X2,X1),relation_rng(X2)))),inference(fof_nnf,[status(thm)],[14])).
% fof(82, negated_conjecture,?[X3]:?[X4]:(relation(X4)&~(subset(relation_image(X4,X3),relation_rng(X4)))),inference(variable_rename,[status(thm)],[81])).
% fof(83, negated_conjecture,(relation(esk13_0)&~(subset(relation_image(esk13_0,esk12_0),relation_rng(esk13_0)))),inference(skolemize,[status(esa)],[82])).
% cnf(84,negated_conjecture,(~subset(relation_image(esk13_0,esk12_0),relation_rng(esk13_0))),inference(split_conjunct,[status(thm)],[83])).
% cnf(85,negated_conjecture,(relation(esk13_0)),inference(split_conjunct,[status(thm)],[83])).
% cnf(99,plain,(in(X1,X2)|relation_rng(X3)!=X2|~relation(X3)|relation_image(X3,X4)!=X5|~in(X1,X5)),inference(spm,[status(thm)],[35,44,theory(equality)])).
% cnf(125,plain,(in(X1,X2)|relation_rng(X3)!=X2|~in(X1,relation_image(X3,X4))|~relation(X3)),inference(er,[status(thm)],[99,theory(equality)])).
% cnf(127,plain,(in(esk9_2(relation_image(X1,X2),X3),X4)|subset(relation_image(X1,X2),X3)|relation_rng(X1)!=X4|~relation(X1)),inference(spm,[status(thm)],[125,58,theory(equality)])).
% cnf(151,plain,(subset(relation_image(X1,X2),X3)|relation_rng(X1)!=X3|~relation(X1)),inference(spm,[status(thm)],[57,127,theory(equality)])).
% cnf(153,negated_conjecture,(~relation(esk13_0)),inference(spm,[status(thm)],[84,151,theory(equality)])).
% cnf(154,negated_conjecture,($false),inference(rw,[status(thm)],[153,85,theory(equality)])).
% cnf(155,negated_conjecture,($false),inference(cn,[status(thm)],[154,theory(equality)])).
% cnf(156,negated_conjecture,($false),155,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 79
% # ...of these trivial                : 1
% # ...subsumed                        : 1
% # ...remaining for further processing: 77
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 0
% # Backward-rewritten                 : 0
% # Generated clauses                  : 66
% # ...of the previous two non-trivial : 59
% # Contextual simplify-reflections    : 0
% # Paramodulations                    : 65
% # Factorizations                     : 0
% # Equation resolutions               : 1
% # Current number of processed clauses: 48
% #    Positive orientable unit clauses: 8
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 2
% #    Non-unit-clauses                : 38
% # Current number of unprocessed clauses: 38
% # ...number of literals in the above : 196
% # Clause-clause subsumption calls (NU) : 105
% # Rec. Clause-clause subsumption calls : 72
% # Unit Clause-clause subsumption calls : 0
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 0
% # Indexed BW rewrite successes       : 0
% # Backwards rewriting index:    84 leaves,   1.23+/-0.943 terms/leaf
% # Paramod-from index:           25 leaves,   1.00+/-0.000 terms/leaf
% # Paramod-into index:           77 leaves,   1.09+/-0.287 terms/leaf
% # -------------------------------------------------
% # User time              : 0.015 s
% # System time            : 0.006 s
% # Total time             : 0.021 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.11 CPU 0.18 WC
% FINAL PrfWatch: 0.11 CPU 0.18 WC
% SZS output end Solution for /tmp/SystemOnTPTP12999/SEU204+1.tptp
% 
%------------------------------------------------------------------------------