TSTP Solution File: SEV429^1 by E---3.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SEV429^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n023.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 15:54:29 EDT 2024
% Result : Theorem 0.21s 0.50s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 11 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 5 ~; 2 |; 0 &; 20 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 13 ( 0 ^ 11 !; 2 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
f: $i > $i ).
thf(decl_23,type,
esk1_1: ( $i > $i ) > $i ).
thf(decl_24,type,
esk2_1: $i > $i ).
thf(invexists,conjecture,
? [X3: $i > $i] :
! [X1: $i] :
( ( X3 @ ( f @ X1 ) )
= X1 ),
file('/export/starexec/sandbox2/tmp/tmp.VnebX80Vep/E---3.1_7097.p',invexists) ).
thf(finj,axiom,
! [X1: $i,X2: $i] :
( ( ( f @ X1 )
= ( f @ X2 ) )
=> ( X1 = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.VnebX80Vep/E---3.1_7097.p',finj) ).
thf(c_0_2,negated_conjecture,
~ ? [X3: $i > $i] :
! [X1: $i] :
( ( X3 @ ( f @ X1 ) )
= X1 ),
inference(assume_negation,[status(cth)],[invexists]) ).
thf(c_0_3,plain,
! [X8: $i,X9: $i] :
( ( ( f @ X8 )
!= ( f @ X9 ) )
| ( X8 = X9 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finj])])]) ).
thf(c_0_4,negated_conjecture,
! [X10: $i > $i] :
( ( X10 @ ( f @ ( esk1_1 @ X10 ) ) )
!= ( esk1_1 @ X10 ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
thf(c_0_5,plain,
! [X1: $i,X2: $i] :
( ( X1 = X2 )
| ( ( f @ X1 )
!= ( f @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
! [X3: $i > $i] :
( ( X3 @ ( f @ ( esk1_1 @ X3 ) ) )
!= ( esk1_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,plain,
! [X1: $i] :
( ( esk2_1 @ ( f @ X1 ) )
= X1 ),
inference(recognize_injectivity,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_6,c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV429^1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 : Fri Jun 21 18:58:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.21/0.49 Running higher-order theorem proving
% 0.21/0.49 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/tmp/tmp.VnebX80Vep/E---3.1_7097.p
% 0.21/0.50 # Version: 3.2.0-ho
% 0.21/0.50 # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.21/0.50 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50 # Starting post_as_ho12 with 300s (1) cores
% 0.21/0.50 # Starting new_bool_9 with 300s (1) cores
% 0.21/0.50 # Starting post_as_ho1 with 300s (1) cores
% 0.21/0.50 # Starting post_as_ho4 with 300s (1) cores
% 0.21/0.50 # Starting post_as_ho2 with 300s (1) cores
% 0.21/0.50 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.21/0.50 # Starting full_lambda_10 with 300s (1) cores
% 0.21/0.50 # Starting new_ho_8 with 300s (1) cores
% 0.21/0.50 # post_as_ho12 with pid 7181 completed with status 0
% 0.21/0.50 # Result found by post_as_ho12
% 0.21/0.50 # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.21/0.50 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50 # Starting post_as_ho12 with 300s (1) cores
% 0.21/0.50 # No SInE strategy applied
% 0.21/0.50 # Search class: HHUPF-FFSF11-MSSFFMNN
% 0.21/0.50 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.50 # Starting ho_unfolding_3 with 163s (1) cores
% 0.21/0.50 # ho_unfolding_3 with pid 7190 completed with status 0
% 0.21/0.50 # Result found by ho_unfolding_3
% 0.21/0.50 # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.21/0.50 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50 # Starting post_as_ho12 with 300s (1) cores
% 0.21/0.50 # No SInE strategy applied
% 0.21/0.50 # Search class: HHUPF-FFSF11-MSSFFMNN
% 0.21/0.50 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.50 # Starting ho_unfolding_3 with 163s (1) cores
% 0.21/0.50 # Preprocessing time : 0.001 s
% 0.21/0.50 # Presaturation interreduction done
% 0.21/0.50
% 0.21/0.50 # Proof found!
% 0.21/0.50 # SZS status Theorem
% 0.21/0.50 # SZS output start CNFRefutation
% See solution above
% 0.21/0.50 # Parsed axioms : 3
% 0.21/0.50 # Removed by relevancy pruning/SinE : 0
% 0.21/0.50 # Initial clauses : 3
% 0.21/0.50 # Removed in clause preprocessing : 1
% 0.21/0.50 # Initial clauses in saturation : 2
% 0.21/0.50 # Processed clauses : 5
% 0.21/0.50 # ...of these trivial : 0
% 0.21/0.50 # ...subsumed : 0
% 0.21/0.50 # ...remaining for further processing : 5
% 0.21/0.50 # Other redundant clauses eliminated : 0
% 0.21/0.50 # Clauses deleted for lack of memory : 0
% 0.21/0.50 # Backward-subsumed : 0
% 0.21/0.50 # Backward-rewritten : 0
% 0.21/0.50 # Generated clauses : 3
% 0.21/0.50 # ...of the previous two non-redundant : 1
% 0.21/0.50 # ...aggressively subsumed : 0
% 0.21/0.50 # Contextual simplify-reflections : 0
% 0.21/0.50 # Paramodulations : 1
% 0.21/0.50 # Factorizations : 0
% 0.21/0.50 # NegExts : 0
% 0.21/0.50 # Equation resolutions : 1
% 0.21/0.50 # Disequality decompositions : 0
% 0.21/0.50 # Total rewrite steps : 0
% 0.21/0.50 # ...of those cached : 0
% 0.21/0.50 # Propositional unsat checks : 0
% 0.21/0.50 # Propositional check models : 0
% 0.21/0.50 # Propositional check unsatisfiable : 0
% 0.21/0.50 # Propositional clauses : 0
% 0.21/0.50 # Propositional clauses after purity: 0
% 0.21/0.50 # Propositional unsat core size : 0
% 0.21/0.50 # Propositional preprocessing time : 0.000
% 0.21/0.50 # Propositional encoding time : 0.000
% 0.21/0.50 # Propositional solver time : 0.000
% 0.21/0.50 # Success case prop preproc time : 0.000
% 0.21/0.50 # Success case prop encoding time : 0.000
% 0.21/0.50 # Success case prop solver time : 0.000
% 0.21/0.50 # Current number of processed clauses : 3
% 0.21/0.50 # Positive orientable unit clauses : 1
% 0.21/0.50 # Positive unorientable unit clauses: 0
% 0.21/0.50 # Negative unit clauses : 1
% 0.21/0.50 # Non-unit-clauses : 1
% 0.21/0.50 # Current number of unprocessed clauses: 0
% 0.21/0.50 # ...number of literals in the above : 0
% 0.21/0.50 # Current number of archived formulas : 0
% 0.21/0.50 # Current number of archived clauses : 2
% 0.21/0.50 # Clause-clause subsumption calls (NU) : 0
% 0.21/0.50 # Rec. Clause-clause subsumption calls : 0
% 0.21/0.50 # Non-unit clause-clause subsumptions : 0
% 0.21/0.50 # Unit Clause-clause subsumption calls : 0
% 0.21/0.50 # Rewrite failures with RHS unbound : 0
% 0.21/0.50 # BW rewrite match attempts : 0
% 0.21/0.50 # BW rewrite match successes : 0
% 0.21/0.50 # Condensation attempts : 5
% 0.21/0.50 # Condensation successes : 0
% 0.21/0.50 # Termbank termtop insertions : 169
% 0.21/0.50 # Search garbage collected termcells : 41
% 0.21/0.50
% 0.21/0.50 # -------------------------------------------------
% 0.21/0.50 # User time : 0.003 s
% 0.21/0.50 # System time : 0.001 s
% 0.21/0.50 # Total time : 0.005 s
% 0.21/0.50 # Maximum resident set size: 1616 pages
% 0.21/0.50
% 0.21/0.50 # -------------------------------------------------
% 0.21/0.50 # User time : 0.004 s
% 0.21/0.50 # System time : 0.005 s
% 0.21/0.50 # Total time : 0.008 s
% 0.21/0.50 # Maximum resident set size: 1708 pages
% 0.21/0.50 % E---3.1 exiting
% 0.21/0.50 % E exiting
%------------------------------------------------------------------------------