TSTP Solution File: SEU998^5 by E---3.2.0
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%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SEU998^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 15:12:06 EDT 2024
% Result : Theorem 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 128 ( 127 equ; 0 cnn)
% Maximal formula atoms : 39 ( 9 avg)
% Number of connectives : 442 ( 34 ~; 0 |; 110 &; 294 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 58 ( 11 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 80 ( 0 ^ 70 !; 10 ?; 80 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_22,type,
esk1_0: a > a > a ).
thf(decl_23,type,
esk2_0: a > a > a ).
thf(decl_24,type,
esk3_0: a ).
thf(decl_25,type,
esk4_0: a ).
thf(decl_26,type,
esk5_0: a ).
thf(decl_27,type,
esk6_0: a ).
thf(decl_28,type,
esk7_0: a ).
thf(c3_DIAMOND_THM_pme,conjecture,
! [X1: a > a > a,X2: a > a > a] :
( ( ! [X3: a] :
( ( X1 @ X3 @ X3 )
= X3 )
& ! [X3: a] :
( ( X2 @ X3 @ X3 )
= X3 )
& ! [X3: a,X4: a,X5: a] :
( ( X1 @ ( X1 @ X3 @ X4 ) @ X5 )
= ( X1 @ X3 @ ( X1 @ X4 @ X5 ) ) )
& ! [X3: a,X4: a,X5: a] :
( ( X2 @ ( X2 @ X3 @ X4 ) @ X5 )
= ( X2 @ X3 @ ( X2 @ X4 @ X5 ) ) )
& ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
= ( X1 @ X4 @ X3 ) )
& ! [X3: a,X4: a] :
( ( X2 @ X3 @ X4 )
= ( X2 @ X4 @ X3 ) )
& ! [X3: a,X4: a] :
( ( X1 @ ( X2 @ X3 @ X4 ) @ X4 )
= X4 )
& ! [X3: a,X4: a] :
( ( X2 @ ( X1 @ X3 @ X4 ) @ X4 )
= X4 ) )
=> ( ? [X3: a,X4: a,X6: a,X7: a,X8: a] :
( ( X6 != X7 )
& ( X6 != X8 )
& ( X6 != X3 )
& ( X6 != X4 )
& ( X7 != X8 )
& ( X7 != X3 )
& ( X7 != X4 )
& ( X8 != X3 )
& ( X8 != X4 )
& ( X3 != X4 )
& ( ( X2 @ X3 @ X4 )
= X4 )
& ( ( X1 @ X3 @ X4 )
= X3 )
& ( ( X2 @ X3 @ X6 )
= X6 )
& ( ( X1 @ X3 @ X6 )
= X3 )
& ( ( X2 @ X3 @ X7 )
= X7 )
& ( ( X1 @ X3 @ X7 )
= X3 )
& ( ( X2 @ X3 @ X8 )
= X8 )
& ( ( X1 @ X3 @ X8 )
= X3 )
& ( ( X2 @ X6 @ X7 )
= X4 )
& ( ( X1 @ X6 @ X7 )
= X3 )
& ( ( X2 @ X6 @ X8 )
= X4 )
& ( ( X1 @ X6 @ X8 )
= X3 )
& ( ( X2 @ X6 @ X4 )
= X4 )
& ( ( X1 @ X6 @ X4 )
= X6 )
& ( ( X2 @ X7 @ X8 )
= X4 )
& ( ( X1 @ X7 @ X8 )
= X3 )
& ( ( X2 @ X7 @ X4 )
= X4 )
& ( ( X1 @ X7 @ X4 )
= X7 )
& ( ( X2 @ X8 @ X4 )
= X4 )
& ( ( X1 @ X8 @ X4 )
= X8 ) )
=> ~ ! [X3: a,X4: a,X5: a] :
( ( X2 @ X3 @ ( X1 @ X4 @ X5 ) )
= ( X1 @ ( X2 @ X3 @ X4 ) @ ( X2 @ X3 @ X5 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.oZVVuke4FR/E---3.1_10090.p',c3_DIAMOND_THM_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > a > a,X2: a > a > a] :
( ( ! [X3: a] :
( ( X1 @ X3 @ X3 )
= X3 )
& ! [X3: a] :
( ( X2 @ X3 @ X3 )
= X3 )
& ! [X3: a,X4: a,X5: a] :
( ( X1 @ ( X1 @ X3 @ X4 ) @ X5 )
= ( X1 @ X3 @ ( X1 @ X4 @ X5 ) ) )
& ! [X3: a,X4: a,X5: a] :
( ( X2 @ ( X2 @ X3 @ X4 ) @ X5 )
= ( X2 @ X3 @ ( X2 @ X4 @ X5 ) ) )
& ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
= ( X1 @ X4 @ X3 ) )
& ! [X3: a,X4: a] :
( ( X2 @ X3 @ X4 )
= ( X2 @ X4 @ X3 ) )
& ! [X3: a,X4: a] :
( ( X1 @ ( X2 @ X3 @ X4 ) @ X4 )
= X4 )
& ! [X3: a,X4: a] :
( ( X2 @ ( X1 @ X3 @ X4 ) @ X4 )
= X4 ) )
=> ( ? [X3: a,X4: a,X6: a,X7: a,X8: a] :
( ( X6 != X7 )
& ( X6 != X8 )
& ( X6 != X3 )
& ( X6 != X4 )
& ( X7 != X8 )
& ( X7 != X3 )
& ( X7 != X4 )
& ( X8 != X3 )
& ( X8 != X4 )
& ( X3 != X4 )
& ( ( X2 @ X3 @ X4 )
= X4 )
& ( ( X1 @ X3 @ X4 )
= X3 )
& ( ( X2 @ X3 @ X6 )
= X6 )
& ( ( X1 @ X3 @ X6 )
= X3 )
& ( ( X2 @ X3 @ X7 )
= X7 )
& ( ( X1 @ X3 @ X7 )
= X3 )
& ( ( X2 @ X3 @ X8 )
= X8 )
& ( ( X1 @ X3 @ X8 )
= X3 )
& ( ( X2 @ X6 @ X7 )
= X4 )
& ( ( X1 @ X6 @ X7 )
= X3 )
& ( ( X2 @ X6 @ X8 )
= X4 )
& ( ( X1 @ X6 @ X8 )
= X3 )
& ( ( X2 @ X6 @ X4 )
= X4 )
& ( ( X1 @ X6 @ X4 )
= X6 )
& ( ( X2 @ X7 @ X8 )
= X4 )
& ( ( X1 @ X7 @ X8 )
= X3 )
& ( ( X2 @ X7 @ X4 )
= X4 )
& ( ( X1 @ X7 @ X4 )
= X7 )
& ( ( X2 @ X8 @ X4 )
= X4 )
& ( ( X1 @ X8 @ X4 )
= X8 ) )
=> ~ ! [X3: a,X4: a,X5: a] :
( ( X2 @ X3 @ ( X1 @ X4 @ X5 ) )
= ( X1 @ ( X2 @ X3 @ X4 ) @ ( X2 @ X3 @ X5 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c3_DIAMOND_THM_pme])]) ).
thf(c_0_2,negated_conjecture,
! [X37: a,X38: a,X39: a,X40: a,X41: a,X42: a,X43: a,X44: a,X45: a,X46: a,X47: a,X48: a,X49: a,X50: a,X51: a,X52: a,X58: a,X59: a,X60: a] :
( ( ( esk1_0 @ X37 @ X37 )
= X37 )
& ( ( esk2_0 @ X38 @ X38 )
= X38 )
& ( ( esk1_0 @ ( esk1_0 @ X39 @ X40 ) @ X41 )
= ( esk1_0 @ X39 @ ( esk1_0 @ X40 @ X41 ) ) )
& ( ( esk2_0 @ ( esk2_0 @ X42 @ X43 ) @ X44 )
= ( esk2_0 @ X42 @ ( esk2_0 @ X43 @ X44 ) ) )
& ( ( esk1_0 @ X45 @ X46 )
= ( esk1_0 @ X46 @ X45 ) )
& ( ( esk2_0 @ X47 @ X48 )
= ( esk2_0 @ X48 @ X47 ) )
& ( ( esk1_0 @ ( esk2_0 @ X49 @ X50 ) @ X50 )
= X50 )
& ( ( esk2_0 @ ( esk1_0 @ X51 @ X52 ) @ X52 )
= X52 )
& ( esk5_0 != esk6_0 )
& ( esk5_0 != esk7_0 )
& ( esk5_0 != esk3_0 )
& ( esk5_0 != esk4_0 )
& ( esk6_0 != esk7_0 )
& ( esk6_0 != esk3_0 )
& ( esk6_0 != esk4_0 )
& ( esk7_0 != esk3_0 )
& ( esk7_0 != esk4_0 )
& ( esk3_0 != esk4_0 )
& ( ( esk2_0 @ esk3_0 @ esk4_0 )
= esk4_0 )
& ( ( esk1_0 @ esk3_0 @ esk4_0 )
= esk3_0 )
& ( ( esk2_0 @ esk3_0 @ esk5_0 )
= esk5_0 )
& ( ( esk1_0 @ esk3_0 @ esk5_0 )
= esk3_0 )
& ( ( esk2_0 @ esk3_0 @ esk6_0 )
= esk6_0 )
& ( ( esk1_0 @ esk3_0 @ esk6_0 )
= esk3_0 )
& ( ( esk2_0 @ esk3_0 @ esk7_0 )
= esk7_0 )
& ( ( esk1_0 @ esk3_0 @ esk7_0 )
= esk3_0 )
& ( ( esk2_0 @ esk5_0 @ esk6_0 )
= esk4_0 )
& ( ( esk1_0 @ esk5_0 @ esk6_0 )
= esk3_0 )
& ( ( esk2_0 @ esk5_0 @ esk7_0 )
= esk4_0 )
& ( ( esk1_0 @ esk5_0 @ esk7_0 )
= esk3_0 )
& ( ( esk2_0 @ esk5_0 @ esk4_0 )
= esk4_0 )
& ( ( esk1_0 @ esk5_0 @ esk4_0 )
= esk5_0 )
& ( ( esk2_0 @ esk6_0 @ esk7_0 )
= esk4_0 )
& ( ( esk1_0 @ esk6_0 @ esk7_0 )
= esk3_0 )
& ( ( esk2_0 @ esk6_0 @ esk4_0 )
= esk4_0 )
& ( ( esk1_0 @ esk6_0 @ esk4_0 )
= esk6_0 )
& ( ( esk2_0 @ esk7_0 @ esk4_0 )
= esk4_0 )
& ( ( esk1_0 @ esk7_0 @ esk4_0 )
= esk7_0 )
& ( ( esk2_0 @ X58 @ ( esk1_0 @ X59 @ X60 ) )
= ( esk1_0 @ ( esk2_0 @ X58 @ X59 ) @ ( esk2_0 @ X58 @ X60 ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).
thf(c_0_3,negated_conjecture,
! [X3: a,X4: a,X5: a] :
( ( esk2_0 @ X3 @ ( esk1_0 @ X4 @ X5 ) )
= ( esk1_0 @ ( esk2_0 @ X3 @ X4 ) @ ( esk2_0 @ X3 @ X5 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
( ( esk2_0 @ esk5_0 @ esk7_0 )
= esk4_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X4: a,X3: a] :
( ( esk1_0 @ X3 @ X4 )
= ( esk1_0 @ X4 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X3: a] :
( ( esk1_0 @ esk4_0 @ ( esk2_0 @ esk5_0 @ X3 ) )
= ( esk2_0 @ esk5_0 @ ( esk1_0 @ X3 @ esk7_0 ) ) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]) ).
thf(c_0_7,negated_conjecture,
( ( esk2_0 @ esk5_0 @ esk6_0 )
= esk4_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_8,negated_conjecture,
! [X3: a] :
( ( esk1_0 @ X3 @ X3 )
= X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_9,negated_conjecture,
( ( esk1_0 @ esk6_0 @ esk7_0 )
= esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_10,negated_conjecture,
! [X4: a,X3: a] :
( ( esk2_0 @ X3 @ X4 )
= ( esk2_0 @ X4 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_11,negated_conjecture,
( ( esk2_0 @ esk3_0 @ esk5_0 )
= esk5_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_12,negated_conjecture,
esk5_0 != esk4_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_13,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU998^5 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 15:17:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.47 Running higher-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.oZVVuke4FR/E---3.1_10090.p
% 0.20/0.50 # Version: 3.2.0-ho
% 0.20/0.50 # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.20/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50 # Starting post_as_ho1 with 1500s (5) cores
% 0.20/0.50 # Starting post_as_ho12 with 300s (1) cores
% 0.20/0.50 # Starting new_ho_3 with 300s (1) cores
% 0.20/0.50 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.20/0.50 # new_ho_3 with pid 10170 completed with status 0
% 0.20/0.50 # Result found by new_ho_3
% 0.20/0.50 # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.20/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50 # Starting post_as_ho1 with 1500s (5) cores
% 0.20/0.50 # Starting post_as_ho12 with 300s (1) cores
% 0.20/0.50 # Starting new_ho_3 with 300s (1) cores
% 0.20/0.50 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.20/0.50 # Search class: HUUPM-FFMM00-SSSFFFNN
% 0.20/0.50 # partial match(3): HUUPF-FFSF00-SSSFFFNN
% 0.20/0.50 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50 # Starting new_ho_10 with 163s (1) cores
% 0.20/0.50 # new_ho_10 with pid 10172 completed with status 0
% 0.20/0.50 # Result found by new_ho_10
% 0.20/0.50 # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.20/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50 # Starting post_as_ho1 with 1500s (5) cores
% 0.20/0.50 # Starting post_as_ho12 with 300s (1) cores
% 0.20/0.50 # Starting new_ho_3 with 300s (1) cores
% 0.20/0.50 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.20/0.50 # Search class: HUUPM-FFMM00-SSSFFFNN
% 0.20/0.50 # partial match(3): HUUPF-FFSF00-SSSFFFNN
% 0.20/0.50 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50 # Starting new_ho_10 with 163s (1) cores
% 0.20/0.50 # Preprocessing time : 0.001 s
% 0.20/0.50 # Presaturation interreduction done
% 0.20/0.50
% 0.20/0.50 # Proof found!
% 0.20/0.50 # SZS status Theorem
% 0.20/0.50 # SZS output start CNFRefutation
% See solution above
% 0.20/0.50 # Parsed axioms : 2
% 0.20/0.50 # Removed by relevancy pruning/SinE : 1
% 0.20/0.50 # Initial clauses : 39
% 0.20/0.50 # Removed in clause preprocessing : 0
% 0.20/0.50 # Initial clauses in saturation : 39
% 0.20/0.50 # Processed clauses : 137
% 0.20/0.50 # ...of these trivial : 19
% 0.20/0.50 # ...subsumed : 0
% 0.20/0.50 # ...remaining for further processing : 118
% 0.20/0.50 # Other redundant clauses eliminated : 0
% 0.20/0.50 # Clauses deleted for lack of memory : 0
% 0.20/0.50 # Backward-subsumed : 0
% 0.20/0.50 # Backward-rewritten : 9
% 0.20/0.50 # Generated clauses : 601
% 0.20/0.50 # ...of the previous two non-redundant : 333
% 0.20/0.50 # ...aggressively subsumed : 0
% 0.20/0.50 # Contextual simplify-reflections : 0
% 0.20/0.50 # Paramodulations : 601
% 0.20/0.50 # Factorizations : 0
% 0.20/0.50 # NegExts : 0
% 0.20/0.50 # Equation resolutions : 0
% 0.20/0.50 # Disequality decompositions : 0
% 0.20/0.50 # Total rewrite steps : 610
% 0.20/0.50 # ...of those cached : 375
% 0.20/0.50 # Propositional unsat checks : 0
% 0.20/0.50 # Propositional check models : 0
% 0.20/0.50 # Propositional check unsatisfiable : 0
% 0.20/0.50 # Propositional clauses : 0
% 0.20/0.50 # Propositional clauses after purity: 0
% 0.20/0.50 # Propositional unsat core size : 0
% 0.20/0.50 # Propositional preprocessing time : 0.000
% 0.20/0.50 # Propositional encoding time : 0.000
% 0.20/0.50 # Propositional solver time : 0.000
% 0.20/0.50 # Success case prop preproc time : 0.000
% 0.20/0.50 # Success case prop encoding time : 0.000
% 0.20/0.50 # Success case prop solver time : 0.000
% 0.20/0.50 # Current number of processed clauses : 70
% 0.20/0.50 # Positive orientable unit clauses : 58
% 0.20/0.50 # Positive unorientable unit clauses: 2
% 0.20/0.50 # Negative unit clauses : 10
% 0.20/0.50 # Non-unit-clauses : 0
% 0.20/0.50 # Current number of unprocessed clauses: 263
% 0.20/0.50 # ...number of literals in the above : 263
% 0.20/0.50 # Current number of archived formulas : 0
% 0.20/0.50 # Current number of archived clauses : 48
% 0.20/0.50 # Clause-clause subsumption calls (NU) : 0
% 0.20/0.50 # Rec. Clause-clause subsumption calls : 0
% 0.20/0.50 # Non-unit clause-clause subsumptions : 0
% 0.20/0.50 # Unit Clause-clause subsumption calls : 1
% 0.20/0.50 # Rewrite failures with RHS unbound : 0
% 0.20/0.50 # BW rewrite match attempts : 123
% 0.20/0.50 # BW rewrite match successes : 112
% 0.20/0.50 # Condensation attempts : 137
% 0.20/0.50 # Condensation successes : 0
% 0.20/0.50 # Termbank termtop insertions : 6654
% 0.20/0.50 # Search garbage collected termcells : 928
% 0.20/0.50
% 0.20/0.50 # -------------------------------------------------
% 0.20/0.50 # User time : 0.011 s
% 0.20/0.50 # System time : 0.003 s
% 0.20/0.50 # Total time : 0.014 s
% 0.20/0.50 # Maximum resident set size: 1964 pages
% 0.20/0.50
% 0.20/0.50 # -------------------------------------------------
% 0.20/0.50 # User time : 0.011 s
% 0.20/0.50 # System time : 0.006 s
% 0.20/0.50 # Total time : 0.017 s
% 0.20/0.50 # Maximum resident set size: 1728 pages
% 0.20/0.50 % E---3.1 exiting
% 0.20/0.50 % E exiting
%------------------------------------------------------------------------------