TSTP Solution File: SYO264^5 by E---3.2.0
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%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SYO264^5 : 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 20:30:17 EDT 2024
% Result : Theorem 2.17s 0.81s
% Output : CNFRefutation 2.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 66 ( 8 equ; 0 cnn)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 525 ( 106 ~; 112 |; 21 &; 284 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 32 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 5 con; 0-2 aty)
% Number of variables : 56 ( 16 ^ 36 !; 4 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
esk1_0: $i ).
thf(decl_23,type,
esk2_0: $i ).
thf(decl_24,type,
esk3_0: $i ).
thf(decl_25,type,
epred1_0: $i > $o ).
thf(decl_26,type,
esk4_2: ( $i > $o ) > ( $i > $o ) > $i ).
thf(cTHM125C,conjecture,
! [X1: $i,X2: $i,X3: $i,X4: $i > $o] :
? [X5: $i > $o,X6: $i > $o] :
( ( ( X5 @ X1 )
| ( X6 @ X1 ) )
& ( ( X4 @ X2 )
| ( X6 @ X2 ) )
& ( ( X5 @ X3 )
| ~ ( X4 @ X3 ) )
& ! [X7: $i] :
( ( X6 @ X7 )
<=> ~ ( X4 @ X7 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Ec1QobxSX5/E---3.1_9905.p',cTHM125C) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: $i,X2: $i,X3: $i,X4: $i > $o] :
? [X5: $i > $o,X6: $i > $o] :
( ( ( X5 @ X1 )
| ( X6 @ X1 ) )
& ( ( X4 @ X2 )
| ( X6 @ X2 ) )
& ( ( X5 @ X3 )
| ~ ( X4 @ X3 ) )
& ! [X7: $i] :
( ( X6 @ X7 )
<=> ~ ( X4 @ X7 ) ) ),
inference(assume_negation,[status(cth)],[cTHM125C]) ).
thf(c_0_2,negated_conjecture,
! [X19: $i > $o,X20: $i > $o] :
( ( ~ ( X20 @ ( esk4_2 @ X19 @ X20 ) )
| ( epred1_0 @ ( esk4_2 @ X19 @ X20 ) )
| ~ ( X19 @ esk3_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( X19 @ esk1_0 ) )
& ( ( X20 @ ( esk4_2 @ X19 @ X20 ) )
| ~ ( epred1_0 @ ( esk4_2 @ X19 @ X20 ) )
| ~ ( X19 @ esk3_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( X19 @ esk1_0 ) )
& ( ~ ( X20 @ ( esk4_2 @ X19 @ X20 ) )
| ( epred1_0 @ ( esk4_2 @ X19 @ X20 ) )
| ( epred1_0 @ esk3_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( X19 @ esk1_0 ) )
& ( ( X20 @ ( esk4_2 @ X19 @ X20 ) )
| ~ ( epred1_0 @ ( esk4_2 @ X19 @ X20 ) )
| ( epred1_0 @ esk3_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( X19 @ esk1_0 ) )
& ( ~ ( X20 @ ( esk4_2 @ X19 @ X20 ) )
| ( epred1_0 @ ( esk4_2 @ X19 @ X20 ) )
| ~ ( X19 @ esk3_0 )
| ~ ( X20 @ esk2_0 )
| ~ ( X19 @ esk1_0 ) )
& ( ( X20 @ ( esk4_2 @ X19 @ X20 ) )
| ~ ( epred1_0 @ ( esk4_2 @ X19 @ X20 ) )
| ~ ( X19 @ esk3_0 )
| ~ ( X20 @ esk2_0 )
| ~ ( X19 @ esk1_0 ) )
& ( ~ ( X20 @ ( esk4_2 @ X19 @ X20 ) )
| ( epred1_0 @ ( esk4_2 @ X19 @ X20 ) )
| ( epred1_0 @ esk3_0 )
| ~ ( X20 @ esk2_0 )
| ~ ( X19 @ esk1_0 ) )
& ( ( X20 @ ( esk4_2 @ X19 @ X20 ) )
| ~ ( epred1_0 @ ( esk4_2 @ X19 @ X20 ) )
| ( epred1_0 @ esk3_0 )
| ~ ( X20 @ esk2_0 )
| ~ ( X19 @ esk1_0 ) )
& ( ~ ( X20 @ ( esk4_2 @ X19 @ X20 ) )
| ( epred1_0 @ ( esk4_2 @ X19 @ X20 ) )
| ~ ( X19 @ esk3_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( X20 @ esk1_0 ) )
& ( ( X20 @ ( esk4_2 @ X19 @ X20 ) )
| ~ ( epred1_0 @ ( esk4_2 @ X19 @ X20 ) )
| ~ ( X19 @ esk3_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( X20 @ esk1_0 ) )
& ( ~ ( X20 @ ( esk4_2 @ X19 @ X20 ) )
| ( epred1_0 @ ( esk4_2 @ X19 @ X20 ) )
| ( epred1_0 @ esk3_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( X20 @ esk1_0 ) )
& ( ( X20 @ ( esk4_2 @ X19 @ X20 ) )
| ~ ( epred1_0 @ ( esk4_2 @ X19 @ X20 ) )
| ( epred1_0 @ esk3_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( X20 @ esk1_0 ) )
& ( ~ ( X20 @ ( esk4_2 @ X19 @ X20 ) )
| ( epred1_0 @ ( esk4_2 @ X19 @ X20 ) )
| ~ ( X19 @ esk3_0 )
| ~ ( X20 @ esk2_0 )
| ~ ( X20 @ esk1_0 ) )
& ( ( X20 @ ( esk4_2 @ X19 @ X20 ) )
| ~ ( epred1_0 @ ( esk4_2 @ X19 @ X20 ) )
| ~ ( X19 @ esk3_0 )
| ~ ( X20 @ esk2_0 )
| ~ ( X20 @ esk1_0 ) )
& ( ~ ( X20 @ ( esk4_2 @ X19 @ X20 ) )
| ( epred1_0 @ ( esk4_2 @ X19 @ X20 ) )
| ( epred1_0 @ esk3_0 )
| ~ ( X20 @ esk2_0 )
| ~ ( X20 @ esk1_0 ) )
& ( ( X20 @ ( esk4_2 @ X19 @ X20 ) )
| ~ ( epred1_0 @ ( esk4_2 @ X19 @ X20 ) )
| ( epred1_0 @ esk3_0 )
| ~ ( X20 @ esk2_0 )
| ~ ( X20 @ esk1_0 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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,
! [X4: $i > $o,X5: $i > $o] :
( ( epred1_0 @ ( esk4_2 @ X5 @ X4 ) )
| ~ ( X4 @ ( esk4_2 @ X5 @ X4 ) )
| ~ ( X5 @ esk3_0 )
| ~ ( X4 @ esk2_0 )
| ~ ( X5 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X4: $i > $o,X5: $i > $o] :
( ( X4 @ ( esk4_2 @ X5 @ X4 ) )
| ~ ( epred1_0 @ ( esk4_2 @ X5 @ X4 ) )
| ~ ( X5 @ esk3_0 )
| ~ ( X4 @ esk2_0 )
| ~ ( X5 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X5: $i > $o,X4: $i > $o] :
( ( epred1_0
@ ( esk4_2 @ X4
@ ^ [Z0: $i] :
~ ( X5 @ Z0 ) ) )
| ( X5
@ ( esk4_2 @ X4
@ ^ [Z0: $i] :
~ ( X5 @ Z0 ) ) )
| ( X5 @ esk2_0 )
| ~ ( X4 @ esk1_0 )
| ~ ( X4 @ esk3_0 ) ),
inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]),c_0_3]) ).
thf(c_0_6,negated_conjecture,
! [X4: $i > $o,X5: $i > $o] :
( ( X4 @ ( esk4_2 @ X5 @ X4 ) )
| ~ ( epred1_0 @ ( esk4_2 @ X5 @ X4 ) )
| ~ ( X5 @ esk3_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( X5 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
! [X4: $i > $o] :
( ( X4
@ ( esk4_2
@ ^ [Z0: $i] : $true
@ X4 ) )
| ~ ( epred1_0
@ ( esk4_2
@ ^ [Z0: $i] : $true
@ X4 ) )
| ~ ( X4 @ esk2_0 ) ),
inference(primitive_enumeration,[status(thm)],[c_0_4]) ).
thf(c_0_8,negated_conjecture,
! [X4: $i > $o] :
( ( epred1_0
@ ( esk4_2 @ X4
@ ^ [Z0: $i] :
~ ( epred1_0 @ Z0 ) ) )
| ( epred1_0 @ esk2_0 )
| ~ ( X4 @ esk1_0 )
| ~ ( X4 @ esk3_0 ) ),
inference(ef,[status(thm)],[c_0_5]) ).
thf(c_0_9,negated_conjecture,
! [X4: $i > $o,X5: $i > $o] :
( ( epred1_0 @ ( esk4_2 @ X5 @ X4 ) )
| ~ ( X4 @ ( esk4_2 @ X5 @ X4 ) )
| ~ ( X5 @ esk3_0 )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( X5 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_10,negated_conjecture,
! [X28: $i > $i,X27: $i > $i,X4: $i > $o] :
( ( X4
@ ( esk4_2
@ ^ [Z0: $i] :
( ( X27 @ Z0 )
= ( X28 @ Z0 ) )
@ X4 ) )
| ( ( X27 @ esk1_0 )
!= ( X28 @ esk1_0 ) )
| ( ( X27 @ esk3_0 )
!= ( X28 @ esk3_0 ) )
| ~ ( epred1_0
@ ( esk4_2
@ ^ [Z0: $i] :
( ( X27 @ Z0 )
= ( X28 @ Z0 ) )
@ X4 ) )
| ~ ( epred1_0 @ esk2_0 ) ),
inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]),c_0_6]) ).
thf(c_0_11,negated_conjecture,
epred1_0 @ esk2_0,
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8])])]) ).
thf(c_0_12,negated_conjecture,
! [X5: $i > $o,X4: $i > $o] :
( ( epred1_0
@ ( esk4_2 @ X4
@ ^ [Z0: $i] :
~ ( X5 @ Z0 ) ) )
| ( X5
@ ( esk4_2 @ X4
@ ^ [Z0: $i] :
~ ( X5 @ Z0 ) ) )
| ~ ( epred1_0 @ esk2_0 )
| ~ ( X4 @ esk1_0 )
| ~ ( X4 @ esk3_0 ) ),
inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]),c_0_9]) ).
thf(c_0_13,negated_conjecture,
! [X28: $i > $i,X27: $i > $i,X4: $i > $o] :
( ( X4
@ ( esk4_2
@ ^ [Z0: $i] :
( ( X27 @ Z0 )
= ( X28 @ Z0 ) )
@ X4 ) )
| ( ( X27 @ esk1_0 )
!= ( X28 @ esk1_0 ) )
| ( ( X27 @ esk3_0 )
!= ( X28 @ esk3_0 ) )
| ~ ( epred1_0
@ ( esk4_2
@ ^ [Z0: $i] :
( ( X27 @ Z0 )
= ( X28 @ Z0 ) )
@ X4 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]) ).
thf(c_0_14,negated_conjecture,
! [X5: $i > $o,X4: $i > $o] :
( ( epred1_0
@ ( esk4_2 @ X4
@ ^ [Z0: $i] :
~ ( X5 @ Z0 ) ) )
| ( X5
@ ( esk4_2 @ X4
@ ^ [Z0: $i] :
~ ( X5 @ Z0 ) ) )
| ~ ( X4 @ esk1_0 )
| ~ ( X4 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_11])]) ).
thf(c_0_15,negated_conjecture,
! [X4: $i > $o] :
( ( X4
@ ( esk4_2
@ ^ [Z0: $i] : $true
@ X4 ) )
| ~ ( epred1_0
@ ( esk4_2
@ ^ [Z0: $i] : $true
@ X4 ) ) ),
inference(cn,[status(thm)],[inference(er,[status(thm)],[c_0_13])]) ).
thf(c_0_16,negated_conjecture,
! [X4: $i > $o] :
( ( epred1_0
@ ( esk4_2 @ X4
@ ^ [Z0: $i] :
~ ( epred1_0 @ Z0 ) ) )
| ~ ( X4 @ esk1_0 )
| ~ ( X4 @ esk3_0 ) ),
inference(ef,[status(thm)],[c_0_14]) ).
thf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16])])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYO264^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jun 23 08:41:09 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.22/0.50 Running higher-order theorem proving
% 0.22/0.50 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.Ec1QobxSX5/E---3.1_9905.p
% 2.17/0.81 # Version: 3.2.0-ho
% 2.17/0.81 # Preprocessing class: HSSSSMSSSSSNSSA.
% 2.17/0.81 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 2.17/0.81 # Starting post_as_ho12 with 300s (1) cores
% 2.17/0.81 # Starting new_bool_9 with 300s (1) cores
% 2.17/0.81 # Starting post_as_ho1 with 300s (1) cores
% 2.17/0.81 # Starting post_as_ho4 with 300s (1) cores
% 2.17/0.81 # Starting post_as_ho2 with 300s (1) cores
% 2.17/0.81 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 2.17/0.81 # Starting full_lambda_10 with 300s (1) cores
% 2.17/0.81 # Starting new_ho_8 with 300s (1) cores
% 2.17/0.81 # ehoh_best2_full_lfho with pid 10005 completed with status 0
% 2.17/0.81 # Result found by ehoh_best2_full_lfho
% 2.17/0.81 # Preprocessing class: HSSSSMSSSSSNSSA.
% 2.17/0.81 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 2.17/0.81 # Starting post_as_ho12 with 300s (1) cores
% 2.17/0.81 # Starting new_bool_9 with 300s (1) cores
% 2.17/0.81 # Starting post_as_ho1 with 300s (1) cores
% 2.17/0.81 # Starting post_as_ho4 with 300s (1) cores
% 2.17/0.81 # Starting post_as_ho2 with 300s (1) cores
% 2.17/0.81 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 2.17/0.81 # No SInE strategy applied
% 2.17/0.81 # Search class: HGUNF-FFMF22-SSSFFMBN
% 2.17/0.81 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.17/0.81 # Starting ehoh_best2_full_lfho with 181s (1) cores
% 2.17/0.81 # ehoh_best2_full_lfho with pid 10014 completed with status 0
% 2.17/0.81 # Result found by ehoh_best2_full_lfho
% 2.17/0.81 # Preprocessing class: HSSSSMSSSSSNSSA.
% 2.17/0.81 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 2.17/0.81 # Starting post_as_ho12 with 300s (1) cores
% 2.17/0.81 # Starting new_bool_9 with 300s (1) cores
% 2.17/0.81 # Starting post_as_ho1 with 300s (1) cores
% 2.17/0.81 # Starting post_as_ho4 with 300s (1) cores
% 2.17/0.81 # Starting post_as_ho2 with 300s (1) cores
% 2.17/0.81 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 2.17/0.81 # No SInE strategy applied
% 2.17/0.81 # Search class: HGUNF-FFMF22-SSSFFMBN
% 2.17/0.81 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.17/0.81 # Starting ehoh_best2_full_lfho with 181s (1) cores
% 2.17/0.81 # Preprocessing time : 0.001 s
% 2.17/0.81
% 2.17/0.81 # Proof found!
% 2.17/0.81 # SZS status Theorem
% 2.17/0.81 # SZS output start CNFRefutation
% See solution above
% 2.17/0.81 # Parsed axioms : 1
% 2.17/0.81 # Removed by relevancy pruning/SinE : 0
% 2.17/0.81 # Initial clauses : 16
% 2.17/0.81 # Removed in clause preprocessing : 0
% 2.17/0.81 # Initial clauses in saturation : 16
% 2.17/0.81 # Processed clauses : 1342
% 2.17/0.81 # ...of these trivial : 64
% 2.17/0.81 # ...subsumed : 489
% 2.17/0.81 # ...remaining for further processing : 789
% 2.17/0.81 # Other redundant clauses eliminated : 1823
% 2.17/0.81 # Clauses deleted for lack of memory : 0
% 2.17/0.81 # Backward-subsumed : 113
% 2.17/0.81 # Backward-rewritten : 389
% 2.17/0.81 # Generated clauses : 6578
% 2.17/0.81 # ...of the previous two non-redundant : 4297
% 2.17/0.81 # ...aggressively subsumed : 0
% 2.17/0.81 # Contextual simplify-reflections : 25
% 2.17/0.81 # Paramodulations : 659
% 2.17/0.81 # Factorizations : 14
% 2.17/0.81 # NegExts : 118
% 2.17/0.81 # Equation resolutions : 1856
% 2.17/0.81 # Disequality decompositions : 0
% 2.17/0.81 # Total rewrite steps : 430
% 2.17/0.81 # ...of those cached : 426
% 2.17/0.81 # Propositional unsat checks : 0
% 2.17/0.81 # Propositional check models : 0
% 2.17/0.81 # Propositional check unsatisfiable : 0
% 2.17/0.81 # Propositional clauses : 0
% 2.17/0.81 # Propositional clauses after purity: 0
% 2.17/0.81 # Propositional unsat core size : 0
% 2.17/0.81 # Propositional preprocessing time : 0.000
% 2.17/0.81 # Propositional encoding time : 0.000
% 2.17/0.81 # Propositional solver time : 0.000
% 2.17/0.81 # Success case prop preproc time : 0.000
% 2.17/0.81 # Success case prop encoding time : 0.000
% 2.17/0.81 # Success case prop solver time : 0.000
% 2.17/0.81 # Current number of processed clauses : 183
% 2.17/0.81 # Positive orientable unit clauses : 5
% 2.17/0.81 # Positive unorientable unit clauses: 0
% 2.17/0.81 # Negative unit clauses : 1
% 2.17/0.81 # Non-unit-clauses : 177
% 2.17/0.81 # Current number of unprocessed clauses: 2769
% 2.17/0.81 # ...number of literals in the above : 17715
% 2.17/0.81 # Current number of archived formulas : 0
% 2.17/0.81 # Current number of archived clauses : 606
% 2.17/0.81 # Clause-clause subsumption calls (NU) : 40216
% 2.17/0.81 # Rec. Clause-clause subsumption calls : 2485
% 2.17/0.81 # Non-unit clause-clause subsumptions : 622
% 2.17/0.81 # Unit Clause-clause subsumption calls : 179
% 2.17/0.81 # Rewrite failures with RHS unbound : 0
% 2.17/0.81 # BW rewrite match attempts : 12
% 2.17/0.81 # BW rewrite match successes : 5
% 2.17/0.81 # Condensation attempts : 0
% 2.17/0.81 # Condensation successes : 0
% 2.17/0.81 # Termbank termtop insertions : 364955
% 2.17/0.81 # Search garbage collected termcells : 239
% 2.17/0.81
% 2.17/0.81 # -------------------------------------------------
% 2.17/0.81 # User time : 0.279 s
% 2.17/0.81 # System time : 0.010 s
% 2.17/0.81 # Total time : 0.289 s
% 2.17/0.81 # Maximum resident set size: 1788 pages
% 2.17/0.81
% 2.17/0.81 # -------------------------------------------------
% 2.17/0.81 # User time : 0.281 s
% 2.17/0.81 # System time : 0.011 s
% 2.17/0.81 # Total time : 0.292 s
% 2.17/0.81 # Maximum resident set size: 1692 pages
% 2.17/0.81 % E---3.1 exiting
% 2.17/0.81 % E exiting
%------------------------------------------------------------------------------