TSTP Solution File: SYO218^5 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO218^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 08:45:10 EDT 2024
% Result : Theorem 0.16s 0.44s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 2 unt; 2 typ; 0 def)
% Number of atoms : 21 ( 14 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 26 ( 5 ~; 2 |; 1 &; 14 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 4 con; 0-2 aty)
% Number of variables : 10 ( 2 ^ 8 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
esk1_0: $i ).
thf(decl_23,type,
esk2_0: $i ).
thf(cTHM7B_pme,conjecture,
! [X1: $i,X2: $i] :
( ! [X3: ( $i > $o ) > $i] :
( ( X1
= ( X3
@ ^ [X4: $i] : ( X1 = X4 ) ) )
=> ( X2
= ( X3
@ ^ [X4: $i] : ( X2 = X4 ) ) ) )
=> ( X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM7B_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: $i,X2: $i] :
( ! [X3: ( $i > $o ) > $i] :
( ( X1
= ( X3 @ ( $eq @ X1 ) ) )
=> ( X2
= ( X3 @ ( $eq @ X2 ) ) ) )
=> ( X1 = X2 ) ),
inference(fool_unroll,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM7B_pme])])]) ).
thf(c_0_2,negated_conjecture,
! [X10: ( $i > $o ) > $i] :
( ( ( esk1_0
!= ( X10 @ ( $eq @ esk1_0 ) ) )
| ( esk2_0
= ( X10 @ ( $eq @ esk2_0 ) ) ) )
& ( esk1_0 != esk2_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_1])])])])]) ).
thf(c_0_3,negated_conjecture,
! [X3: ( $i > $o ) > $i] :
( ( esk2_0
= ( X3 @ ( $eq @ esk2_0 ) ) )
| ( esk1_0
!= ( X3 @ ( $eq @ esk1_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_3]),c_0_4]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYO218^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon May 20 10:48:07 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.16/0.43 Running higher-order theorem proving
% 0.16/0.43 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
% 0.16/0.44 # Version: 3.1.0-ho
% 0.16/0.44 # Preprocessing class: HSSSSMSSSSMNHHA.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting post_as_ho5 with 1500s (5) cores
% 0.16/0.44 # Starting sh2lt with 300s (1) cores
% 0.16/0.44 # Starting ehoh_best8_lambda with 300s (1) cores
% 0.16/0.44 # Starting post_as_ho10 with 300s (1) cores
% 0.16/0.44 # ehoh_best8_lambda with pid 23670 completed with status 0
% 0.16/0.44 # Result found by ehoh_best8_lambda
% 0.16/0.44 # Preprocessing class: HSSSSMSSSSMNHHA.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting post_as_ho5 with 1500s (5) cores
% 0.16/0.44 # Starting sh2lt with 300s (1) cores
% 0.16/0.44 # Starting ehoh_best8_lambda with 300s (1) cores
% 0.16/0.44 # No SInE strategy applied
% 0.16/0.44 # Search class: HHUPF-FFSF00-SHHFFMBN
% 0.16/0.44 # partial match(1): HHUPF-FFSF00-SHHFFFBN
% 0.16/0.44 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44 # Starting post_as_ho10 with 163s (1) cores
% 0.16/0.44 # post_as_ho10 with pid 23674 completed with status 0
% 0.16/0.44 # Result found by post_as_ho10
% 0.16/0.44 # Preprocessing class: HSSSSMSSSSMNHHA.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting post_as_ho5 with 1500s (5) cores
% 0.16/0.44 # Starting sh2lt with 300s (1) cores
% 0.16/0.44 # Starting ehoh_best8_lambda with 300s (1) cores
% 0.16/0.44 # No SInE strategy applied
% 0.16/0.44 # Search class: HHUPF-FFSF00-SHHFFMBN
% 0.16/0.44 # partial match(1): HHUPF-FFSF00-SHHFFFBN
% 0.16/0.44 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44 # Starting post_as_ho10 with 163s (1) cores
% 0.16/0.44 # Preprocessing time : 0.001 s
% 0.16/0.44 # Presaturation interreduction done
% 0.16/0.44
% 0.16/0.44 # Proof found!
% 0.16/0.44 # SZS status Theorem
% 0.16/0.44 # SZS output start CNFRefutation
% See solution above
% 0.16/0.44 # Parsed axioms : 1
% 0.16/0.44 # Removed by relevancy pruning/SinE : 0
% 0.16/0.44 # Initial clauses : 2
% 0.16/0.44 # Removed in clause preprocessing : 0
% 0.16/0.44 # Initial clauses in saturation : 2
% 0.16/0.44 # Processed clauses : 4
% 0.16/0.44 # ...of these trivial : 0
% 0.16/0.44 # ...subsumed : 0
% 0.16/0.44 # ...remaining for further processing : 4
% 0.16/0.44 # Other redundant clauses eliminated : 2
% 0.16/0.44 # Clauses deleted for lack of memory : 0
% 0.16/0.44 # Backward-subsumed : 0
% 0.16/0.44 # Backward-rewritten : 0
% 0.16/0.44 # Generated clauses : 7
% 0.16/0.44 # ...of the previous two non-redundant : 2
% 0.16/0.44 # ...aggressively subsumed : 0
% 0.16/0.44 # Contextual simplify-reflections : 0
% 0.16/0.44 # Paramodulations : 0
% 0.16/0.44 # Factorizations : 0
% 0.16/0.44 # NegExts : 0
% 0.16/0.44 # Equation resolutions : 3
% 0.16/0.44 # Disequality decompositions : 0
% 0.16/0.44 # Total rewrite steps : 0
% 0.16/0.44 # ...of those cached : 0
% 0.16/0.44 # Propositional unsat checks : 0
% 0.16/0.44 # Propositional check models : 0
% 0.16/0.44 # Propositional check unsatisfiable : 0
% 0.16/0.44 # Propositional clauses : 0
% 0.16/0.44 # Propositional clauses after purity: 0
% 0.16/0.44 # Propositional unsat core size : 0
% 0.16/0.44 # Propositional preprocessing time : 0.000
% 0.16/0.44 # Propositional encoding time : 0.000
% 0.16/0.44 # Propositional solver time : 0.000
% 0.16/0.44 # Success case prop preproc time : 0.000
% 0.16/0.44 # Success case prop encoding time : 0.000
% 0.16/0.44 # Success case prop solver time : 0.000
% 0.16/0.44 # Current number of processed clauses : 2
% 0.16/0.44 # Positive orientable unit clauses : 0
% 0.16/0.44 # Positive unorientable unit clauses: 0
% 0.16/0.44 # Negative unit clauses : 1
% 0.16/0.44 # Non-unit-clauses : 1
% 0.16/0.44 # Current number of unprocessed clauses: 0
% 0.16/0.44 # ...number of literals in the above : 0
% 0.16/0.44 # Current number of archived formulas : 0
% 0.16/0.44 # Current number of archived clauses : 3
% 0.16/0.44 # Clause-clause subsumption calls (NU) : 0
% 0.16/0.44 # Rec. Clause-clause subsumption calls : 0
% 0.16/0.44 # Non-unit clause-clause subsumptions : 0
% 0.16/0.44 # Unit Clause-clause subsumption calls : 0
% 0.16/0.44 # Rewrite failures with RHS unbound : 0
% 0.16/0.44 # BW rewrite match attempts : 0
% 0.16/0.44 # BW rewrite match successes : 0
% 0.16/0.44 # Condensation attempts : 0
% 0.16/0.44 # Condensation successes : 0
% 0.16/0.44 # Termbank termtop insertions : 293
% 0.16/0.44 # Search garbage collected termcells : 92
% 0.16/0.44
% 0.16/0.44 # -------------------------------------------------
% 0.16/0.44 # User time : 0.002 s
% 0.16/0.44 # System time : 0.001 s
% 0.16/0.44 # Total time : 0.003 s
% 0.16/0.44 # Maximum resident set size: 1772 pages
% 0.16/0.44
% 0.16/0.44 # -------------------------------------------------
% 0.16/0.44 # User time : 0.002 s
% 0.16/0.44 # System time : 0.004 s
% 0.16/0.44 # Total time : 0.005 s
% 0.16/0.44 # Maximum resident set size: 1708 pages
% 0.16/0.44 % E---3.1 exiting
% 0.16/0.44 % E exiting
%------------------------------------------------------------------------------