TSTP Solution File: SEV056^5 by E---3.2.0
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%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SEV056^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 15:53:24 EDT 2024
% Result : Theorem 0.22s 0.52s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 5 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 4 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 0 avg)
% Number of connectives : 104 ( 8 ~; 7 |; 9 &; 76 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 9 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 16 ( 0 ^ 14 !; 2 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_22,type,
epred1_0: a > a > $o ).
thf(decl_23,type,
esk1_1: ( a > a > $o ) > a ).
thf(decl_24,type,
esk2_1: ( a > a > $o ) > a ).
thf(decl_25,type,
esk3_1: ( a > a > $o ) > a ).
thf(decl_26,type,
esk4_1: ( a > a > $o ) > a ).
thf(decl_27,type,
esk5_1: ( a > a > $o ) > a ).
thf(cTHM275_pme,conjecture,
! [X1: a > a > $o] :
? [X2: a > a > $o] :
( ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
=> ( X2 @ X3 @ X4 ) )
& ! [X3: a,X4: a,X5: a] :
( ( ( X2 @ X3 @ X4 )
& ( X2 @ X4 @ X5 ) )
=> ( X2 @ X3 @ X5 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.TAyD6JtbHY/E---3.1_24320.p',cTHM275_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > a > $o] :
? [X2: a > a > $o] :
( ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
=> ( X2 @ X3 @ X4 ) )
& ! [X3: a,X4: a,X5: a] :
( ( ( X2 @ X3 @ X4 )
& ( X2 @ X4 @ X5 ) )
=> ( X2 @ X3 @ X5 ) ) ),
inference(assume_negation,[status(cth)],[cTHM275_pme]) ).
thf(c_0_2,negated_conjecture,
! [X14: a > a > $o] :
( ( ( X14 @ ( esk3_1 @ X14 ) @ ( esk4_1 @ X14 ) )
| ( epred1_0 @ ( esk1_1 @ X14 ) @ ( esk2_1 @ X14 ) ) )
& ( ( X14 @ ( esk4_1 @ X14 ) @ ( esk5_1 @ X14 ) )
| ( epred1_0 @ ( esk1_1 @ X14 ) @ ( esk2_1 @ X14 ) ) )
& ( ~ ( X14 @ ( esk3_1 @ X14 ) @ ( esk5_1 @ X14 ) )
| ( epred1_0 @ ( esk1_1 @ X14 ) @ ( esk2_1 @ X14 ) ) )
& ( ( X14 @ ( esk3_1 @ X14 ) @ ( esk4_1 @ X14 ) )
| ~ ( X14 @ ( esk1_1 @ X14 ) @ ( esk2_1 @ X14 ) ) )
& ( ( X14 @ ( esk4_1 @ X14 ) @ ( esk5_1 @ X14 ) )
| ~ ( X14 @ ( esk1_1 @ X14 ) @ ( esk2_1 @ X14 ) ) )
& ( ~ ( X14 @ ( esk3_1 @ X14 ) @ ( esk5_1 @ X14 ) )
| ~ ( X14 @ ( esk1_1 @ X14 ) @ ( esk2_1 @ X14 ) ) ) ),
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,
! [X1: a > a > $o] :
( ~ ( X1 @ ( esk3_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ~ ( X1 @ ( esk1_1 @ X1 ) @ ( esk2_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
$false,
inference(flex_resolve,[status(thm)],[c_0_3]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV056^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Jun 21 19:15:24 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.22/0.51 Running higher-order theorem proving
% 0.22/0.51 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.TAyD6JtbHY/E---3.1_24320.p
% 0.22/0.52 # Version: 3.2.0-ho
% 0.22/0.52 # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.22/0.52 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52 # Starting post_as_ho12 with 300s (1) cores
% 0.22/0.52 # Starting new_bool_9 with 300s (1) cores
% 0.22/0.52 # Starting post_as_ho1 with 300s (1) cores
% 0.22/0.52 # Starting post_as_ho4 with 300s (1) cores
% 0.22/0.52 # Starting post_as_ho2 with 300s (1) cores
% 0.22/0.52 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.22/0.52 # Starting full_lambda_10 with 300s (1) cores
% 0.22/0.52 # Starting new_ho_8 with 300s (1) cores
% 0.22/0.52 # new_ho_8 with pid 24405 completed with status 0
% 0.22/0.52 # Result found by new_ho_8
% 0.22/0.52 # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.22/0.52 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52 # Starting post_as_ho12 with 300s (1) cores
% 0.22/0.52 # Starting new_bool_9 with 300s (1) cores
% 0.22/0.52 # Starting post_as_ho1 with 300s (1) cores
% 0.22/0.52 # Starting post_as_ho4 with 300s (1) cores
% 0.22/0.52 # Starting post_as_ho2 with 300s (1) cores
% 0.22/0.52 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.22/0.52 # Starting full_lambda_10 with 300s (1) cores
% 0.22/0.52 # Starting new_ho_8 with 300s (1) cores
% 0.22/0.52 # SinE strategy is GSinE(CountTerms,hypos,10,,2,20000,1.0,true)
% 0.22/0.52 # Search class: HGHNF-FFSF11-SSSFFMBN
% 0.22/0.52 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.52 # Starting post_as_ho2 with 181s (1) cores
% 0.22/0.52 # post_as_ho2 with pid 24407 completed with status 0
% 0.22/0.52 # Result found by post_as_ho2
% 0.22/0.52 # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.22/0.52 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52 # Starting post_as_ho12 with 300s (1) cores
% 0.22/0.52 # Starting new_bool_9 with 300s (1) cores
% 0.22/0.52 # Starting post_as_ho1 with 300s (1) cores
% 0.22/0.52 # Starting post_as_ho4 with 300s (1) cores
% 0.22/0.52 # Starting post_as_ho2 with 300s (1) cores
% 0.22/0.52 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.22/0.52 # Starting full_lambda_10 with 300s (1) cores
% 0.22/0.52 # Starting new_ho_8 with 300s (1) cores
% 0.22/0.52 # SinE strategy is GSinE(CountTerms,hypos,10,,2,20000,1.0,true)
% 0.22/0.52 # Search class: HGHNF-FFSF11-SSSFFMBN
% 0.22/0.52 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.52 # Starting post_as_ho2 with 181s (1) cores
% 0.22/0.52 # Preprocessing time : 0.001 s
% 0.22/0.52 # Presaturation interreduction done
% 0.22/0.52
% 0.22/0.52 # Proof found!
% 0.22/0.52 # SZS status Theorem
% 0.22/0.52 # SZS output start CNFRefutation
% See solution above
% 0.22/0.52 # Parsed axioms : 2
% 0.22/0.52 # Removed by relevancy pruning/SinE : 1
% 0.22/0.52 # Initial clauses : 6
% 0.22/0.52 # Removed in clause preprocessing : 0
% 0.22/0.52 # Initial clauses in saturation : 6
% 0.22/0.52 # Processed clauses : 2
% 0.22/0.52 # ...of these trivial : 0
% 0.22/0.52 # ...subsumed : 0
% 0.22/0.52 # ...remaining for further processing : 1
% 0.22/0.52 # Other redundant clauses eliminated : 0
% 0.22/0.52 # Clauses deleted for lack of memory : 0
% 0.22/0.52 # Backward-subsumed : 0
% 0.22/0.52 # Backward-rewritten : 0
% 0.22/0.52 # Generated clauses : 0
% 0.22/0.52 # ...of the previous two non-redundant : 0
% 0.22/0.52 # ...aggressively subsumed : 0
% 0.22/0.52 # Contextual simplify-reflections : 0
% 0.22/0.52 # Paramodulations : 0
% 0.22/0.52 # Factorizations : 0
% 0.22/0.52 # NegExts : 0
% 0.22/0.52 # Equation resolutions : 0
% 0.22/0.52 # Disequality decompositions : 0
% 0.22/0.52 # Total rewrite steps : 0
% 0.22/0.52 # ...of those cached : 0
% 0.22/0.52 # Propositional unsat checks : 0
% 0.22/0.52 # Propositional check models : 0
% 0.22/0.52 # Propositional check unsatisfiable : 0
% 0.22/0.52 # Propositional clauses : 0
% 0.22/0.52 # Propositional clauses after purity: 0
% 0.22/0.52 # Propositional unsat core size : 0
% 0.22/0.52 # Propositional preprocessing time : 0.000
% 0.22/0.52 # Propositional encoding time : 0.000
% 0.22/0.52 # Propositional solver time : 0.000
% 0.22/0.52 # Success case prop preproc time : 0.000
% 0.22/0.52 # Success case prop encoding time : 0.000
% 0.22/0.52 # Success case prop solver time : 0.000
% 0.22/0.52 # Current number of processed clauses : 1
% 0.22/0.52 # Positive orientable unit clauses : 0
% 0.22/0.52 # Positive unorientable unit clauses: 0
% 0.22/0.52 # Negative unit clauses : 0
% 0.22/0.52 # Non-unit-clauses : 1
% 0.22/0.52 # Current number of unprocessed clauses: 4
% 0.22/0.52 # ...number of literals in the above : 8
% 0.22/0.52 # Current number of archived formulas : 0
% 0.22/0.52 # Current number of archived clauses : 0
% 0.22/0.52 # Clause-clause subsumption calls (NU) : 0
% 0.22/0.52 # Rec. Clause-clause subsumption calls : 0
% 0.22/0.52 # Non-unit clause-clause subsumptions : 0
% 0.22/0.52 # Unit Clause-clause subsumption calls : 0
% 0.22/0.52 # Rewrite failures with RHS unbound : 0
% 0.22/0.52 # BW rewrite match attempts : 0
% 0.22/0.52 # BW rewrite match successes : 0
% 0.22/0.52 # Condensation attempts : 0
% 0.22/0.52 # Condensation successes : 0
% 0.22/0.52 # Termbank termtop insertions : 452
% 0.22/0.52 # Search garbage collected termcells : 128
% 0.22/0.52
% 0.22/0.52 # -------------------------------------------------
% 0.22/0.52 # User time : 0.002 s
% 0.22/0.52 # System time : 0.002 s
% 0.22/0.52 # Total time : 0.003 s
% 0.22/0.52 # Maximum resident set size: 1776 pages
% 0.22/0.52
% 0.22/0.52 # -------------------------------------------------
% 0.22/0.52 # User time : 0.002 s
% 0.22/0.52 # System time : 0.005 s
% 0.22/0.52 # Total time : 0.007 s
% 0.22/0.52 # Maximum resident set size: 1716 pages
% 0.22/0.52 % E---3.1 exiting
% 0.22/0.52 % E exiting
%------------------------------------------------------------------------------