TSTP Solution File: SEV321^5 by E---3.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SEV321^5 : TPTP v8.2.0. Released v4.0.0.
% 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 : Mon Jun 24 15:54:16 EDT 2024
% Result : Theorem 25.37s 3.68s
% Output : CNFRefutation 25.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 48 ( 0 equ; 0 cnn)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 302 ( 19 ~; 21 |; 15 &; 233 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 10 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 73 ( 14 ^ 57 !; 2 ?; 73 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_22,type,
epred1_0: a > a > $o ).
thf(decl_23,type,
esk1_0: ( a > $o ) > a ).
thf(decl_24,type,
esk2_2: ( a > $o ) > a > a ).
thf(decl_25,type,
esk3_0: a > a ).
thf(cTHM145_C_pme,conjecture,
! [X1: a > a > $o,X2: ( a > $o ) > a] :
( ( ! [X3: a,X4: a,X5: a] :
( ( ( X1 @ X3 @ X4 )
& ( X1 @ X4 @ X5 ) )
=> ( X1 @ X3 @ X5 ) )
& ! [X6: a > $o] :
( ! [X5: a] :
( ( X6 @ X5 )
=> ( X1 @ X5 @ ( X2 @ X6 ) ) )
& ! [X7: a] :
( ! [X8: a] :
( ( ( X6 @ X8 )
& ( X6 @ X8 ) )
=> ( X1 @ X8 @ X7 ) )
=> ( ( X1 @ ( X2 @ X6 ) @ X7 )
& ( X1 @ ( X2 @ X6 ) @ X7 ) ) ) ) )
=> ! [X9: a > a] :
( ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
=> ( X1 @ ( X9 @ X3 ) @ ( X9 @ X4 ) ) )
=> ? [X10: a] :
( ( X1 @ X10 @ ( X9 @ X10 ) )
& ( X1 @ ( X9 @ X10 ) @ X10 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.1ksDuQyJ6R/E---3.1_15561.p',cTHM145_C_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > a > $o,X2: ( a > $o ) > a] :
( ( ! [X3: a,X4: a,X5: a] :
( ( ( X1 @ X3 @ X4 )
& ( X1 @ X4 @ X5 ) )
=> ( X1 @ X3 @ X5 ) )
& ! [X6: a > $o] :
( ! [X5: a] :
( ( X6 @ X5 )
=> ( X1 @ X5 @ ( X2 @ X6 ) ) )
& ! [X7: a] :
( ! [X8: a] :
( ( X6 @ X8 )
=> ( X1 @ X8 @ X7 ) )
=> ( X1 @ ( X2 @ X6 ) @ X7 ) ) ) )
=> ! [X9: a > a] :
( ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
=> ( X1 @ ( X9 @ X3 ) @ ( X9 @ X4 ) ) )
=> ? [X10: a] :
( ( X1 @ X10 @ ( X9 @ X10 ) )
& ( X1 @ ( X9 @ X10 ) @ X10 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM145_C_pme])]) ).
thf(c_0_2,negated_conjecture,
! [X26: a,X27: a,X28: a,X29: a > $o,X30: a,X31: a,X34: a,X35: a,X36: a] :
( ( ~ ( epred1_0 @ X26 @ X27 )
| ~ ( epred1_0 @ X27 @ X28 )
| ( epred1_0 @ X26 @ X28 ) )
& ( ~ ( X29 @ X30 )
| ( epred1_0 @ X30 @ ( esk1_0 @ X29 ) ) )
& ( ( X29 @ ( esk2_2 @ X29 @ X31 ) )
| ( epred1_0 @ ( esk1_0 @ X29 ) @ X31 ) )
& ( ~ ( epred1_0 @ ( esk2_2 @ X29 @ X31 ) @ X31 )
| ( epred1_0 @ ( esk1_0 @ X29 ) @ X31 ) )
& ( ~ ( epred1_0 @ X34 @ X35 )
| ( epred1_0 @ ( esk3_0 @ X34 ) @ ( esk3_0 @ X35 ) ) )
& ( ~ ( epred1_0 @ X36 @ ( esk3_0 @ X36 ) )
| ~ ( epred1_0 @ ( esk3_0 @ X36 ) @ X36 ) ) ),
inference(distribute,[status(thm)],[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] :
( ( epred1_0 @ X3 @ X5 )
| ~ ( epred1_0 @ X3 @ X4 )
| ~ ( epred1_0 @ X4 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X3: a,X4: a] :
( ( epred1_0 @ ( esk3_0 @ X3 ) @ ( esk3_0 @ X4 ) )
| ~ ( epred1_0 @ X3 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X3: a,X5: a,X4: a] :
( ( epred1_0 @ X3 @ ( esk3_0 @ X4 ) )
| ~ ( epred1_0 @ X3 @ ( esk3_0 @ X5 ) )
| ~ ( epred1_0 @ X5 @ X4 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_6,negated_conjecture,
! [X6: a > $o,X3: a] :
( ( X6 @ ( esk2_2 @ X6 @ X3 ) )
| ( epred1_0 @ ( esk1_0 @ X6 ) @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
! [X6: a > $o,X3: a] :
( ( epred1_0 @ X3 @ ( esk1_0 @ X6 ) )
| ~ ( X6 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_8,negated_conjecture,
! [X3: a,X20: a > a,X9: a > a,X4: a] :
( ( epred1_0
@ ( X9
@ ( esk2_2
@ ^ [Z0: a] : ( epred1_0 @ ( X9 @ Z0 ) @ ( esk3_0 @ ( X20 @ Z0 ) ) )
@ X3 ) )
@ ( esk3_0 @ X4 ) )
| ( epred1_0
@ ( esk1_0
@ ^ [Z0: a] : ( epred1_0 @ ( X9 @ Z0 ) @ ( esk3_0 @ ( X20 @ Z0 ) ) ) )
@ X3 )
| ~ ( epred1_0
@ ( X20
@ ( esk2_2
@ ^ [Z0: a] : ( epred1_0 @ ( X9 @ Z0 ) @ ( esk3_0 @ ( X20 @ Z0 ) ) )
@ X3 ) )
@ X4 ) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_9,negated_conjecture,
! [X1: a > a > $o,X3: a] :
( ( epred1_0
@ ( esk2_2
@ ^ [Z0: a] : ( X1 @ Z0 @ Z0 )
@ X3 )
@ ( esk1_0
@ ^ [Z0: a] : ( X1 @ Z0 @ Z0 ) ) )
| ( epred1_0
@ ( esk1_0
@ ^ [Z0: a] : ( X1 @ Z0 @ Z0 ) )
@ X3 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
thf(c_0_10,negated_conjecture,
! [X6: a > $o,X3: a] :
( ( epred1_0 @ ( esk1_0 @ X6 ) @ X3 )
| ~ ( epred1_0 @ ( esk2_2 @ X6 @ X3 ) @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_11,negated_conjecture,
! [X3: a] :
( ( epred1_0
@ ( esk2_2
@ ^ [Z0: a] : ( epred1_0 @ Z0 @ ( esk3_0 @ Z0 ) )
@ X3 )
@ ( esk3_0
@ ( esk1_0
@ ^ [Z0: a] : ( epred1_0 @ Z0 @ ( esk3_0 @ Z0 ) ) ) ) )
| ( epred1_0
@ ( esk1_0
@ ^ [Z0: a] : ( epred1_0 @ Z0 @ ( esk3_0 @ Z0 ) ) )
@ X3 ) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
thf(c_0_12,negated_conjecture,
! [X9: a > a,X3: a] :
( ( epred1_0 @ ( esk3_0 @ X3 )
@ ( esk1_0
@ ^ [Z0: a] : ( epred1_0 @ Z0 @ ( esk3_0 @ ( X9 @ Z0 ) ) ) ) )
| ~ ( epred1_0 @ X3 @ ( X9 @ ( esk3_0 @ X3 ) ) ) ),
inference(spm,[status(thm)],[c_0_7,c_0_4]) ).
thf(c_0_13,negated_conjecture,
( epred1_0
@ ( esk1_0
@ ^ [Z0: a] : ( epred1_0 @ Z0 @ ( esk3_0 @ Z0 ) ) )
@ ( esk3_0
@ ( esk1_0
@ ^ [Z0: a] : ( epred1_0 @ Z0 @ ( esk3_0 @ Z0 ) ) ) ) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
thf(c_0_14,negated_conjecture,
! [X3: a] :
( ~ ( epred1_0 @ X3 @ ( esk3_0 @ X3 ) )
| ~ ( epred1_0 @ ( esk3_0 @ X3 ) @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_15,negated_conjecture,
( epred1_0
@ ( esk3_0
@ ( esk1_0
@ ^ [Z0: a] : ( epred1_0 @ Z0 @ ( esk3_0 @ Z0 ) ) ) )
@ ( esk1_0
@ ^ [Z0: a] : ( epred1_0 @ Z0 @ ( esk3_0 @ Z0 ) ) ) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
thf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV321^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n021.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 21 19:14:54 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.19/0.48 Running higher-order theorem proving
% 0.19/0.48 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.1ksDuQyJ6R/E---3.1_15561.p
% 25.37/3.68 # Version: 3.2.0-ho
% 25.37/3.68 # Preprocessing class: HSSSSMSSSSSNHHA.
% 25.37/3.68 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 25.37/3.68 # Starting sh2lt with 1200s (4) cores
% 25.37/3.68 # Starting new_ho_10_unif with 300s (1) cores
% 25.37/3.68 # Starting full_lambda_6 with 300s (1) cores
% 25.37/3.68 # Starting post_as_ho1 with 300s (1) cores
% 25.37/3.68 # Starting ehoh_best3_rw with 300s (1) cores
% 25.37/3.68 # ehoh_best3_rw with pid 15644 completed with status 0
% 25.37/3.68 # Result found by ehoh_best3_rw
% 25.37/3.68 # Preprocessing class: HSSSSMSSSSSNHHA.
% 25.37/3.68 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 25.37/3.68 # Starting sh2lt with 1200s (4) cores
% 25.37/3.68 # Starting new_ho_10_unif with 300s (1) cores
% 25.37/3.68 # Starting full_lambda_6 with 300s (1) cores
% 25.37/3.68 # Starting post_as_ho1 with 300s (1) cores
% 25.37/3.68 # Starting ehoh_best3_rw with 300s (1) cores
% 25.37/3.68 # SinE strategy is gf120_gu_RUU_F100_L01000
% 25.37/3.68 # Search class: HGHNF-FFSF22-SHHFFSBN
% 25.37/3.68 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 25.37/3.68 # Starting new_ho_10_unif with 90s (1) cores
% 25.37/3.68 # new_ho_10_unif with pid 15651 completed with status 0
% 25.37/3.68 # Result found by new_ho_10_unif
% 25.37/3.68 # Preprocessing class: HSSSSMSSSSSNHHA.
% 25.37/3.68 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 25.37/3.68 # Starting sh2lt with 1200s (4) cores
% 25.37/3.68 # Starting new_ho_10_unif with 300s (1) cores
% 25.37/3.68 # Starting full_lambda_6 with 300s (1) cores
% 25.37/3.68 # Starting post_as_ho1 with 300s (1) cores
% 25.37/3.68 # Starting ehoh_best3_rw with 300s (1) cores
% 25.37/3.68 # SinE strategy is gf120_gu_RUU_F100_L01000
% 25.37/3.68 # Search class: HGHNF-FFSF22-SHHFFSBN
% 25.37/3.68 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 25.37/3.68 # Starting new_ho_10_unif with 90s (1) cores
% 25.37/3.68 # Preprocessing time : 0.001 s
% 25.37/3.68 # Presaturation interreduction done
% 25.37/3.68
% 25.37/3.68 # Proof found!
% 25.37/3.68 # SZS status Theorem
% 25.37/3.68 # SZS output start CNFRefutation
% See solution above
% 25.37/3.68 # Parsed axioms : 2
% 25.37/3.68 # Removed by relevancy pruning/SinE : 1
% 25.37/3.68 # Initial clauses : 6
% 25.37/3.68 # Removed in clause preprocessing : 0
% 25.37/3.68 # Initial clauses in saturation : 6
% 25.37/3.68 # Processed clauses : 865
% 25.37/3.68 # ...of these trivial : 128
% 25.37/3.68 # ...subsumed : 272
% 25.37/3.68 # ...remaining for further processing : 465
% 25.37/3.68 # Other redundant clauses eliminated : 0
% 25.37/3.68 # Clauses deleted for lack of memory : 0
% 25.37/3.68 # Backward-subsumed : 29
% 25.37/3.68 # Backward-rewritten : 47
% 25.37/3.68 # Generated clauses : 48580
% 25.37/3.68 # ...of the previous two non-redundant : 41700
% 25.37/3.68 # ...aggressively subsumed : 0
% 25.37/3.68 # Contextual simplify-reflections : 0
% 25.37/3.68 # Paramodulations : 48396
% 25.37/3.68 # Factorizations : 183
% 25.37/3.68 # NegExts : 0
% 25.37/3.68 # Equation resolutions : 1
% 25.37/3.68 # Disequality decompositions : 0
% 25.37/3.68 # Total rewrite steps : 7285
% 25.37/3.68 # ...of those cached : 6320
% 25.37/3.68 # Propositional unsat checks : 0
% 25.37/3.68 # Propositional check models : 0
% 25.37/3.68 # Propositional check unsatisfiable : 0
% 25.37/3.68 # Propositional clauses : 0
% 25.37/3.68 # Propositional clauses after purity: 0
% 25.37/3.68 # Propositional unsat core size : 0
% 25.37/3.68 # Propositional preprocessing time : 0.000
% 25.37/3.68 # Propositional encoding time : 0.000
% 25.37/3.68 # Propositional solver time : 0.000
% 25.37/3.68 # Success case prop preproc time : 0.000
% 25.37/3.68 # Success case prop encoding time : 0.000
% 25.37/3.68 # Success case prop solver time : 0.000
% 25.37/3.68 # Current number of processed clauses : 383
% 25.37/3.68 # Positive orientable unit clauses : 92
% 25.37/3.68 # Positive unorientable unit clauses: 0
% 25.37/3.68 # Negative unit clauses : 15
% 25.37/3.68 # Non-unit-clauses : 276
% 25.37/3.68 # Current number of unprocessed clauses: 40342
% 25.37/3.68 # ...number of literals in the above : 125900
% 25.37/3.68 # Current number of archived formulas : 0
% 25.37/3.68 # Current number of archived clauses : 82
% 25.37/3.68 # Clause-clause subsumption calls (NU) : 11966
% 25.37/3.68 # Rec. Clause-clause subsumption calls : 10032
% 25.37/3.68 # Non-unit clause-clause subsumptions : 293
% 25.37/3.68 # Unit Clause-clause subsumption calls : 2671
% 25.37/3.68 # Rewrite failures with RHS unbound : 0
% 25.37/3.68 # BW rewrite match attempts : 2202
% 25.37/3.68 # BW rewrite match successes : 57
% 25.37/3.68 # Condensation attempts : 865
% 25.37/3.68 # Condensation successes : 9
% 25.37/3.68 # Termbank termtop insertions : 12460669
% 25.37/3.68 # Search garbage collected termcells : 385
% 25.37/3.68
% 25.37/3.68 # -------------------------------------------------
% 25.37/3.68 # User time : 2.966 s
% 25.37/3.68 # System time : 0.150 s
% 25.37/3.68 # Total time : 3.116 s
% 25.37/3.68 # Maximum resident set size: 1912 pages
% 25.37/3.68
% 25.37/3.68 # -------------------------------------------------
% 25.37/3.68 # User time : 2.969 s
% 25.37/3.68 # System time : 0.151 s
% 25.37/3.68 # Total time : 3.119 s
% 25.37/3.68 # Maximum resident set size: 1728 pages
% 25.37/3.68 % E---3.1 exiting
% 25.37/3.68 % E exiting
%------------------------------------------------------------------------------