TSTP Solution File: SEU732^2 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU732^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.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 : Tue May 21 03:29:37 EDT 2024
% Result : Theorem 0.15s 0.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of formulae : 25 ( 7 unt; 10 typ; 0 def)
% Number of atoms : 57 ( 0 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 221 ( 25 ~; 12 |; 6 &; 154 @)
% ( 2 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 37 ( 0 ^ 37 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
in: $i > $i > $o ).
thf(decl_23,type,
powerset: $i > $i ).
thf(decl_24,type,
binintersect: $i > $i > $i ).
thf(decl_25,type,
setminus: $i > $i > $i ).
thf(decl_26,type,
setminusER: $o ).
thf(decl_27,type,
binintersectTELcontra: $o ).
thf(decl_28,type,
esk1_0: $i ).
thf(decl_29,type,
esk2_0: $i ).
thf(decl_30,type,
esk3_0: $i ).
thf(decl_31,type,
esk4_0: $i ).
thf(complementTnotintersectT,conjecture,
( setminusER
=> ( binintersectTELcontra
=> ! [X1: $i,X4: $i] :
( ( in @ X4 @ ( powerset @ X1 ) )
=> ! [X5: $i] :
( ( in @ X5 @ ( powerset @ X1 ) )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( ( in @ X3 @ ( setminus @ X1 @ X4 ) )
=> ~ ( in @ X3 @ ( binintersect @ X4 @ X5 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complementTnotintersectT) ).
thf(binintersectTELcontra,axiom,
( binintersectTELcontra
<=> ! [X1: $i,X4: $i] :
( ( in @ X4 @ ( powerset @ X1 ) )
=> ! [X5: $i] :
( ( in @ X5 @ ( powerset @ X1 ) )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( ~ ( in @ X3 @ X4 )
=> ~ ( in @ X3 @ ( binintersect @ X4 @ X5 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectTELcontra) ).
thf(setminusER,axiom,
( setminusER
<=> ! [X1: $i,X2: $i,X3: $i] :
( ( in @ X3 @ ( setminus @ X1 @ X2 ) )
=> ~ ( in @ X3 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setminusER) ).
thf(c_0_3,negated_conjecture,
~ ( ! [X17: $i,X18: $i,X19: $i] :
( ( in @ X19 @ ( setminus @ X17 @ X18 ) )
=> ~ ( in @ X19 @ X18 ) )
=> ( ! [X20: $i,X21: $i] :
( ( in @ X21 @ ( powerset @ X20 ) )
=> ! [X22: $i] :
( ( in @ X22 @ ( powerset @ X20 ) )
=> ! [X23: $i] :
( ( in @ X23 @ X20 )
=> ( ~ ( in @ X23 @ X21 )
=> ~ ( in @ X23 @ ( binintersect @ X21 @ X22 ) ) ) ) ) )
=> ! [X1: $i,X4: $i] :
( ( in @ X4 @ ( powerset @ X1 ) )
=> ! [X5: $i] :
( ( in @ X5 @ ( powerset @ X1 ) )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( ( in @ X3 @ ( setminus @ X1 @ X4 ) )
=> ~ ( in @ X3 @ ( binintersect @ X4 @ X5 ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[complementTnotintersectT]),binintersectTELcontra]),setminusER])]) ).
thf(c_0_4,negated_conjecture,
! [X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i] :
( ( ~ ( in @ X26 @ ( setminus @ X24 @ X25 ) )
| ~ ( in @ X26 @ X25 ) )
& ( ~ ( in @ X28 @ ( powerset @ X27 ) )
| ~ ( in @ X29 @ ( powerset @ X27 ) )
| ~ ( in @ X30 @ X27 )
| ( in @ X30 @ X28 )
| ~ ( in @ X30 @ ( binintersect @ X28 @ X29 ) ) )
& ( in @ esk2_0 @ ( powerset @ esk1_0 ) )
& ( in @ esk3_0 @ ( powerset @ esk1_0 ) )
& ( in @ esk4_0 @ esk1_0 )
& ( in @ esk4_0 @ ( setminus @ esk1_0 @ esk2_0 ) )
& ( in @ esk4_0 @ ( binintersect @ esk2_0 @ esk3_0 ) ) ),
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_3])])])])]) ).
thf(c_0_5,negated_conjecture,
! [X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X1 @ ( setminus @ X2 @ X3 ) )
| ~ ( in @ X1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_6,negated_conjecture,
in @ esk4_0 @ ( setminus @ esk1_0 @ esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,negated_conjecture,
! [X2: $i,X1: $i,X4: $i,X3: $i] :
( ( in @ X4 @ X1 )
| ~ ( in @ X1 @ ( powerset @ X2 ) )
| ~ ( in @ X3 @ ( powerset @ X2 ) )
| ~ ( in @ X4 @ X2 )
| ~ ( in @ X4 @ ( binintersect @ X1 @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_8,negated_conjecture,
in @ esk4_0 @ ( binintersect @ esk2_0 @ esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_9,negated_conjecture,
~ ( in @ esk4_0 @ esk2_0 ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_10,negated_conjecture,
! [X1: $i] :
( ~ ( in @ esk3_0 @ ( powerset @ X1 ) )
| ~ ( in @ esk2_0 @ ( powerset @ X1 ) )
| ~ ( in @ esk4_0 @ X1 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).
thf(c_0_11,negated_conjecture,
in @ esk3_0 @ ( powerset @ esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_12,negated_conjecture,
in @ esk2_0 @ ( powerset @ esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_13,negated_conjecture,
in @ esk4_0 @ esk1_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SEU732^2 : TPTP v8.2.0. Released v3.7.0.
% 0.05/0.10 % Command : run_E %s %d THM
% 0.09/0.30 % Computer : n021.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Sun May 19 17:44:37 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.15/0.40 Running higher-order theorem proving
% 0.15/0.40 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/benchmark/theBenchmark.p
% 0.15/0.42 # Version: 3.1.0-ho
% 0.15/0.42 # Preprocessing class: HSSSSLSSSLSNFFN.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting lpo6_lambda_fix with 1500s (5) cores
% 0.15/0.42 # Starting post_as_ho8 with 300s (1) cores
% 0.15/0.42 # Starting post_as_ho3 with 300s (1) cores
% 0.15/0.42 # Starting post_as_ho2 with 300s (1) cores
% 0.15/0.42 # post_as_ho8 with pid 3167 completed with status 0
% 0.15/0.42 # Result found by post_as_ho8
% 0.15/0.42 # Preprocessing class: HSSSSLSSSLSNFFN.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting lpo6_lambda_fix with 1500s (5) cores
% 0.15/0.42 # Starting post_as_ho8 with 300s (1) cores
% 0.15/0.42 # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
% 0.15/0.42 # Search class: HHHNF-FFSS21-SFFFMFNN
% 0.15/0.42 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42 # Starting new_ho_10 with 163s (1) cores
% 0.15/0.42 # new_ho_10 with pid 3170 completed with status 0
% 0.15/0.42 # Result found by new_ho_10
% 0.15/0.42 # Preprocessing class: HSSSSLSSSLSNFFN.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting lpo6_lambda_fix with 1500s (5) cores
% 0.15/0.42 # Starting post_as_ho8 with 300s (1) cores
% 0.15/0.42 # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
% 0.15/0.42 # Search class: HHHNF-FFSS21-SFFFMFNN
% 0.15/0.42 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42 # Starting new_ho_10 with 163s (1) cores
% 0.15/0.42 # Preprocessing time : 0.001 s
% 0.15/0.42 # Presaturation interreduction done
% 0.15/0.42
% 0.15/0.42 # Proof found!
% 0.15/0.42 # SZS status Theorem
% 0.15/0.42 # SZS output start CNFRefutation
% See solution above
% 0.15/0.42 # Parsed axioms : 9
% 0.15/0.42 # Removed by relevancy pruning/SinE : 6
% 0.15/0.42 # Initial clauses : 7
% 0.15/0.42 # Removed in clause preprocessing : 0
% 0.15/0.42 # Initial clauses in saturation : 7
% 0.15/0.42 # Processed clauses : 16
% 0.15/0.42 # ...of these trivial : 0
% 0.15/0.42 # ...subsumed : 0
% 0.15/0.42 # ...remaining for further processing : 16
% 0.15/0.42 # Other redundant clauses eliminated : 0
% 0.15/0.42 # Clauses deleted for lack of memory : 0
% 0.15/0.42 # Backward-subsumed : 0
% 0.15/0.42 # Backward-rewritten : 0
% 0.15/0.42 # Generated clauses : 3
% 0.15/0.42 # ...of the previous two non-redundant : 2
% 0.15/0.42 # ...aggressively subsumed : 0
% 0.15/0.42 # Contextual simplify-reflections : 0
% 0.15/0.42 # Paramodulations : 3
% 0.15/0.42 # Factorizations : 0
% 0.15/0.42 # NegExts : 0
% 0.15/0.42 # Equation resolutions : 0
% 0.15/0.42 # Disequality decompositions : 0
% 0.15/0.42 # Total rewrite steps : 2
% 0.15/0.42 # ...of those cached : 0
% 0.15/0.42 # Propositional unsat checks : 0
% 0.15/0.42 # Propositional check models : 0
% 0.15/0.42 # Propositional check unsatisfiable : 0
% 0.15/0.42 # Propositional clauses : 0
% 0.15/0.42 # Propositional clauses after purity: 0
% 0.15/0.42 # Propositional unsat core size : 0
% 0.15/0.42 # Propositional preprocessing time : 0.000
% 0.15/0.42 # Propositional encoding time : 0.000
% 0.15/0.42 # Propositional solver time : 0.000
% 0.15/0.42 # Success case prop preproc time : 0.000
% 0.15/0.42 # Success case prop encoding time : 0.000
% 0.15/0.42 # Success case prop solver time : 0.000
% 0.15/0.42 # Current number of processed clauses : 9
% 0.15/0.42 # Positive orientable unit clauses : 5
% 0.15/0.42 # Positive unorientable unit clauses: 0
% 0.15/0.42 # Negative unit clauses : 1
% 0.15/0.42 # Non-unit-clauses : 3
% 0.15/0.42 # Current number of unprocessed clauses: 0
% 0.15/0.42 # ...number of literals in the above : 0
% 0.15/0.42 # Current number of archived formulas : 0
% 0.15/0.42 # Current number of archived clauses : 7
% 0.15/0.42 # Clause-clause subsumption calls (NU) : 5
% 0.15/0.42 # Rec. Clause-clause subsumption calls : 0
% 0.15/0.42 # Non-unit clause-clause subsumptions : 0
% 0.15/0.42 # Unit Clause-clause subsumption calls : 1
% 0.15/0.42 # Rewrite failures with RHS unbound : 0
% 0.15/0.42 # BW rewrite match attempts : 0
% 0.15/0.42 # BW rewrite match successes : 0
% 0.15/0.42 # Condensation attempts : 16
% 0.15/0.42 # Condensation successes : 0
% 0.15/0.42 # Termbank termtop insertions : 944
% 0.15/0.42 # Search garbage collected termcells : 310
% 0.15/0.42
% 0.15/0.42 # -------------------------------------------------
% 0.15/0.42 # User time : 0.003 s
% 0.15/0.42 # System time : 0.003 s
% 0.15/0.42 # Total time : 0.006 s
% 0.15/0.42 # Maximum resident set size: 1772 pages
% 0.15/0.42
% 0.15/0.42 # -------------------------------------------------
% 0.15/0.42 # User time : 0.005 s
% 0.15/0.42 # System time : 0.004 s
% 0.15/0.42 # Total time : 0.009 s
% 0.15/0.42 # Maximum resident set size: 1708 pages
% 0.15/0.42 % E---3.1 exiting
% 0.15/0.42 % E exiting
%------------------------------------------------------------------------------