TSTP Solution File: SEU783^2 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU783^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.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 03:30:12 EDT 2024
% Result : Theorem 0.13s 0.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of formulae : 18 ( 3 unt; 10 typ; 0 def)
% Number of atoms : 31 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 116 ( 5 ~; 2 |; 6 &; 88 @)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 22 ( 0 ^ 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
in: $i > $i > $o ).
thf(decl_23,type,
binunion: $i > $i > $i ).
thf(decl_24,type,
binunionIL: $o ).
thf(decl_25,type,
kpair: $i > $i > $i ).
thf(decl_26,type,
breln1: $i > $i > $o ).
thf(decl_27,type,
esk1_0: $i ).
thf(decl_28,type,
esk2_0: $i ).
thf(decl_29,type,
esk3_0: $i ).
thf(decl_30,type,
esk4_0: $i ).
thf(decl_31,type,
esk5_0: $i ).
thf(breln1unionIL,conjecture,
( binunionIL
=> ! [X1: $i,X4: $i] :
( ( breln1 @ X1 @ X4 )
=> ! [X5: $i] :
( ( breln1 @ X1 @ X5 )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ! [X6: $i] :
( ( in @ X6 @ X1 )
=> ( ( in @ ( kpair @ X3 @ X6 ) @ X4 )
=> ( in @ ( kpair @ X3 @ X6 ) @ ( binunion @ X4 @ X5 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',breln1unionIL) ).
thf(binunionIL,axiom,
( binunionIL
<=> ! [X1: $i,X2: $i,X3: $i] :
( ( in @ X3 @ X1 )
=> ( in @ X3 @ ( binunion @ X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binunionIL) ).
thf(c_0_2,negated_conjecture,
~ ( ! [X15: $i,X16: $i,X17: $i] :
( ( in @ X17 @ X15 )
=> ( in @ X17 @ ( binunion @ X15 @ X16 ) ) )
=> ! [X1: $i,X4: $i] :
( ( breln1 @ X1 @ X4 )
=> ! [X5: $i] :
( ( breln1 @ X1 @ X5 )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ! [X6: $i] :
( ( in @ X6 @ X1 )
=> ( ( in @ ( kpair @ X3 @ X6 ) @ X4 )
=> ( in @ ( kpair @ X3 @ X6 ) @ ( binunion @ X4 @ X5 ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[breln1unionIL]),binunionIL]) ).
thf(c_0_3,negated_conjecture,
! [X18: $i,X19: $i,X20: $i] :
( ( ~ ( in @ X20 @ X18 )
| ( in @ X20 @ ( binunion @ X18 @ X19 ) ) )
& ( breln1 @ esk1_0 @ esk2_0 )
& ( breln1 @ esk1_0 @ esk3_0 )
& ( in @ esk4_0 @ esk1_0 )
& ( in @ esk5_0 @ esk1_0 )
& ( in @ ( kpair @ esk4_0 @ esk5_0 ) @ esk2_0 )
& ~ ( in @ ( kpair @ esk4_0 @ esk5_0 ) @ ( binunion @ 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_2])])])])]) ).
thf(c_0_4,negated_conjecture,
~ ( in @ ( kpair @ esk4_0 @ esk5_0 ) @ ( binunion @ esk2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X1: $i,X3: $i,X2: $i] :
( ( in @ X1 @ ( binunion @ X2 @ X3 ) )
| ~ ( in @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
in @ ( kpair @ esk4_0 @ esk5_0 ) @ esk2_0,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SEU783^2 : TPTP v8.2.0. Released v3.7.0.
% 0.00/0.09 % Command : run_E %s %d THM
% 0.08/0.29 % Computer : n025.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Sun May 19 16:40:22 EDT 2024
% 0.08/0.29 % CPUTime :
% 0.13/0.40 Running higher-order theorem proving
% 0.13/0.40 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
% 0.13/0.41 # Version: 3.1.0-ho
% 0.13/0.41 # Preprocessing class: HSSSSMSSSLSNFFN.
% 0.13/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.41 # Starting new_ho_10 with 1500s (5) cores
% 0.13/0.41 # Starting sh5l with 300s (1) cores
% 0.13/0.41 # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.13/0.41 # Starting lpo1_def_fix with 300s (1) cores
% 0.13/0.41 # ehoh_best_sine_rwall with pid 2335 completed with status 0
% 0.13/0.41 # Result found by ehoh_best_sine_rwall
% 0.13/0.41 # Preprocessing class: HSSSSMSSSLSNFFN.
% 0.13/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.41 # Starting new_ho_10 with 1500s (5) cores
% 0.13/0.41 # Starting sh5l with 300s (1) cores
% 0.13/0.41 # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.13/0.41 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.13/0.41 # Search class: HHUNF-FFSS22-SFFFMFNN
% 0.13/0.41 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.41 # Starting new_ho_10 with 163s (1) cores
% 0.13/0.41 # new_ho_10 with pid 2338 completed with status 0
% 0.13/0.41 # Result found by new_ho_10
% 0.13/0.41 # Preprocessing class: HSSSSMSSSLSNFFN.
% 0.13/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.41 # Starting new_ho_10 with 1500s (5) cores
% 0.13/0.41 # Starting sh5l with 300s (1) cores
% 0.13/0.41 # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.13/0.41 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.13/0.41 # Search class: HHUNF-FFSS22-SFFFMFNN
% 0.13/0.41 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.41 # Starting new_ho_10 with 163s (1) cores
% 0.13/0.41 # Preprocessing time : 0.001 s
% 0.13/0.41 # Presaturation interreduction done
% 0.13/0.41
% 0.13/0.41 # Proof found!
% 0.13/0.41 # SZS status Theorem
% 0.13/0.41 # SZS output start CNFRefutation
% See solution above
% 0.13/0.41 # Parsed axioms : 7
% 0.13/0.41 # Removed by relevancy pruning/SinE : 5
% 0.13/0.41 # Initial clauses : 7
% 0.13/0.41 # Removed in clause preprocessing : 0
% 0.13/0.41 # Initial clauses in saturation : 7
% 0.13/0.41 # Processed clauses : 14
% 0.13/0.41 # ...of these trivial : 0
% 0.13/0.41 # ...subsumed : 0
% 0.13/0.41 # ...remaining for further processing : 14
% 0.13/0.41 # Other redundant clauses eliminated : 0
% 0.13/0.41 # Clauses deleted for lack of memory : 0
% 0.13/0.41 # Backward-subsumed : 0
% 0.13/0.41 # Backward-rewritten : 0
% 0.13/0.41 # Generated clauses : 1
% 0.13/0.41 # ...of the previous two non-redundant : 0
% 0.13/0.41 # ...aggressively subsumed : 0
% 0.13/0.41 # Contextual simplify-reflections : 0
% 0.13/0.41 # Paramodulations : 1
% 0.13/0.41 # Factorizations : 0
% 0.13/0.41 # NegExts : 0
% 0.13/0.41 # Equation resolutions : 0
% 0.13/0.41 # Disequality decompositions : 0
% 0.13/0.41 # Total rewrite steps : 1
% 0.13/0.41 # ...of those cached : 0
% 0.13/0.41 # Propositional unsat checks : 0
% 0.13/0.41 # Propositional check models : 0
% 0.13/0.41 # Propositional check unsatisfiable : 0
% 0.13/0.41 # Propositional clauses : 0
% 0.13/0.41 # Propositional clauses after purity: 0
% 0.13/0.41 # Propositional unsat core size : 0
% 0.13/0.41 # Propositional preprocessing time : 0.000
% 0.13/0.41 # Propositional encoding time : 0.000
% 0.13/0.41 # Propositional solver time : 0.000
% 0.13/0.41 # Success case prop preproc time : 0.000
% 0.13/0.41 # Success case prop encoding time : 0.000
% 0.13/0.41 # Success case prop solver time : 0.000
% 0.13/0.41 # Current number of processed clauses : 7
% 0.13/0.41 # Positive orientable unit clauses : 5
% 0.13/0.41 # Positive unorientable unit clauses: 0
% 0.13/0.41 # Negative unit clauses : 1
% 0.13/0.41 # Non-unit-clauses : 1
% 0.13/0.41 # Current number of unprocessed clauses: 0
% 0.13/0.41 # ...number of literals in the above : 0
% 0.13/0.41 # Current number of archived formulas : 0
% 0.13/0.41 # Current number of archived clauses : 7
% 0.13/0.41 # Clause-clause subsumption calls (NU) : 0
% 0.13/0.41 # Rec. Clause-clause subsumption calls : 0
% 0.13/0.41 # Non-unit clause-clause subsumptions : 0
% 0.13/0.41 # Unit Clause-clause subsumption calls : 0
% 0.13/0.41 # Rewrite failures with RHS unbound : 0
% 0.13/0.41 # BW rewrite match attempts : 0
% 0.13/0.41 # BW rewrite match successes : 0
% 0.13/0.41 # Condensation attempts : 14
% 0.13/0.41 # Condensation successes : 0
% 0.13/0.41 # Termbank termtop insertions : 481
% 0.13/0.41 # Search garbage collected termcells : 187
% 0.13/0.41
% 0.13/0.41 # -------------------------------------------------
% 0.13/0.41 # User time : 0.001 s
% 0.13/0.41 # System time : 0.002 s
% 0.13/0.41 # Total time : 0.003 s
% 0.13/0.41 # Maximum resident set size: 1748 pages
% 0.13/0.41
% 0.13/0.41 # -------------------------------------------------
% 0.13/0.41 # User time : 0.002 s
% 0.13/0.41 # System time : 0.003 s
% 0.13/0.41 # Total time : 0.005 s
% 0.13/0.41 # Maximum resident set size: 1700 pages
% 0.13/0.41 % E---3.1 exiting
% 0.13/0.41 % E exiting
%------------------------------------------------------------------------------