TSTP Solution File: ITP072^1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP072^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n004.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 May 20 22:16:10 EDT 2024
% Result : Theorem 0.74s 0.63s
% Output : CNFRefutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 28 ( 7 unt; 8 typ; 0 def)
% Number of atoms : 45 ( 21 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 118 ( 20 ~; 14 |; 4 &; 73 @)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 28 ( 0 ^ 28 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
hF_Mirabelle_hf: $tType ).
thf(decl_37,type,
zero_z189798548lle_hf: hF_Mirabelle_hf ).
thf(decl_42,type,
hF_Mirabelle_hinsert: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(decl_43,type,
hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(decl_79,type,
z: hF_Mirabelle_hf ).
thf(decl_80,type,
esk1_0: hF_Mirabelle_hf ).
thf(decl_82,type,
esk3_1: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(decl_83,type,
esk4_1: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(fact_4_hmem__hinsert,axiom,
! [X6: hF_Mirabelle_hf,X10: hF_Mirabelle_hf,X11: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X6 @ ( hF_Mirabelle_hinsert @ X10 @ X11 ) )
<=> ( ( X6 = X10 )
| ( hF_Mirabelle_hmem @ X6 @ X11 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_hmem__hinsert) ).
thf(fact_3_hf__cases,axiom,
! [X7: hF_Mirabelle_hf] :
( ( X7 != zero_z189798548lle_hf )
=> ~ ! [X8: hF_Mirabelle_hf,X9: hF_Mirabelle_hf] :
( ( X7
= ( hF_Mirabelle_hinsert @ X8 @ X9 ) )
=> ( hF_Mirabelle_hmem @ X8 @ X9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_hf__cases) ).
thf(conj_0,conjecture,
( ( z = zero_z189798548lle_hf )
<=> ! [X5: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X5 @ z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(fact_1_hemptyE,axiom,
! [X6: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X6 @ zero_z189798548lle_hf ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_hemptyE) ).
thf(c_0_4,plain,
! [X1504: hF_Mirabelle_hf,X1505: hF_Mirabelle_hf,X1506: hF_Mirabelle_hf] :
( ( ~ ( hF_Mirabelle_hmem @ X1504 @ ( hF_Mirabelle_hinsert @ X1505 @ X1506 ) )
| ( X1504 = X1505 )
| ( hF_Mirabelle_hmem @ X1504 @ X1506 ) )
& ( ( X1504 != X1505 )
| ( hF_Mirabelle_hmem @ X1504 @ ( hF_Mirabelle_hinsert @ X1505 @ X1506 ) ) )
& ( ~ ( hF_Mirabelle_hmem @ X1504 @ X1506 )
| ( hF_Mirabelle_hmem @ X1504 @ ( hF_Mirabelle_hinsert @ X1505 @ X1506 ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_hmem__hinsert])])])]) ).
thf(c_0_5,plain,
! [X7: hF_Mirabelle_hf] :
( ( X7 != zero_z189798548lle_hf )
=> ~ ! [X8: hF_Mirabelle_hf,X9: hF_Mirabelle_hf] :
( ( X7
= ( hF_Mirabelle_hinsert @ X8 @ X9 ) )
=> ( hF_Mirabelle_hmem @ X8 @ X9 ) ) ),
inference(fof_simplification,[status(thm)],[fact_3_hf__cases]) ).
thf(c_0_6,negated_conjecture,
~ ( ( z = zero_z189798548lle_hf )
<=> ! [X5: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X5 @ z ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
thf(c_0_7,plain,
! [X1: hF_Mirabelle_hf,X3: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X1 @ ( hF_Mirabelle_hinsert @ X2 @ X3 ) )
| ( X1 != X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_8,plain,
! [X1501: hF_Mirabelle_hf] :
( ( ( X1501
= ( hF_Mirabelle_hinsert @ ( esk3_1 @ X1501 ) @ ( esk4_1 @ X1501 ) ) )
| ( X1501 = zero_z189798548lle_hf ) )
& ( ~ ( hF_Mirabelle_hmem @ ( esk3_1 @ X1501 ) @ ( esk4_1 @ X1501 ) )
| ( X1501 = zero_z189798548lle_hf ) ) ),
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_5])])])])]) ).
thf(c_0_9,negated_conjecture,
! [X1491: hF_Mirabelle_hf] :
( ( ( z != zero_z189798548lle_hf )
| ( hF_Mirabelle_hmem @ esk1_0 @ z ) )
& ( ( z = zero_z189798548lle_hf )
| ~ ( hF_Mirabelle_hmem @ X1491 @ z ) ) ),
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_6])])])])]) ).
thf(c_0_10,plain,
! [X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ X1 @ ( hF_Mirabelle_hinsert @ X1 @ X2 ) ),
inference(er,[status(thm)],[c_0_7]) ).
thf(c_0_11,plain,
! [X1: hF_Mirabelle_hf] :
( ( X1
= ( hF_Mirabelle_hinsert @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) ) )
| ( X1 = zero_z189798548lle_hf ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_12,plain,
! [X6: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X6 @ zero_z189798548lle_hf ),
inference(fof_simplification,[status(thm)],[fact_1_hemptyE]) ).
thf(c_0_13,negated_conjecture,
! [X1: hF_Mirabelle_hf] :
( ( z = zero_z189798548lle_hf )
| ~ ( hF_Mirabelle_hmem @ X1 @ z ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_14,plain,
! [X1: hF_Mirabelle_hf] :
( ( X1 = zero_z189798548lle_hf )
| ( hF_Mirabelle_hmem @ ( esk3_1 @ X1 ) @ X1 ) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
thf(c_0_15,plain,
! [X1499: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X1499 @ zero_z189798548lle_hf ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_12])]) ).
thf(c_0_16,negated_conjecture,
( ( hF_Mirabelle_hmem @ esk1_0 @ z )
| ( z != zero_z189798548lle_hf ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_17,negated_conjecture,
z = zero_z189798548lle_hf,
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_18,plain,
! [X1: hF_Mirabelle_hf] :
~ ( hF_Mirabelle_hmem @ X1 @ zero_z189798548lle_hf ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_19,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_17])]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP072^1 : TPTP v8.2.0. Released v7.5.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.13/0.36 % Computer : n004.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sat May 18 18:19:52 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.20/0.49 Running higher-order theorem proving
% 0.20/0.49 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/benchmark/theBenchmark.p
% 0.74/0.63 # Version: 3.1.0-ho
% 0.74/0.63 # Preprocessing class: HSLSSMSMSSMNHFA.
% 0.74/0.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.74/0.63 # Starting new_ho_3 with 1500s (5) cores
% 0.74/0.63 # Starting sh7 with 300s (1) cores
% 0.74/0.63 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.74/0.63 # Starting pre_casc_7 with 300s (1) cores
% 0.74/0.63 # new_ho_3 with pid 14962 completed with status 0
% 0.74/0.63 # Result found by new_ho_3
% 0.74/0.63 # Preprocessing class: HSLSSMSMSSMNHFA.
% 0.74/0.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.74/0.63 # Starting new_ho_3 with 1500s (5) cores
% 0.74/0.63 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.74/0.63 # Search class: HGHSM-FSLM32-MHFFFSBN
% 0.74/0.63 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.74/0.63 # Starting sh9 with 811s (1) cores
% 0.74/0.63 # Starting new_ho_3 with 151s (1) cores
% 0.74/0.63 # Starting almost_fo_1 with 136s (1) cores
% 0.74/0.63 # Starting lpo6_lambda_fix with 136s (1) cores
% 0.74/0.63 # Starting sh6 with 136s (1) cores
% 0.74/0.63 # sh6 with pid 14970 completed with status 0
% 0.74/0.63 # Result found by sh6
% 0.74/0.63 # Preprocessing class: HSLSSMSMSSMNHFA.
% 0.74/0.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.74/0.63 # Starting new_ho_3 with 1500s (5) cores
% 0.74/0.63 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.74/0.63 # Search class: HGHSM-FSLM32-MHFFFSBN
% 0.74/0.63 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.74/0.63 # Starting sh9 with 811s (1) cores
% 0.74/0.63 # Starting new_ho_3 with 151s (1) cores
% 0.74/0.63 # Starting almost_fo_1 with 136s (1) cores
% 0.74/0.63 # Starting lpo6_lambda_fix with 136s (1) cores
% 0.74/0.63 # Starting sh6 with 136s (1) cores
% 0.74/0.63 # Preprocessing time : 0.008 s
% 0.74/0.63 # Presaturation interreduction done
% 0.74/0.63
% 0.74/0.63 # Proof found!
% 0.74/0.63 # SZS status Theorem
% 0.74/0.63 # SZS output start CNFRefutation
% See solution above
% 0.74/0.63 # Parsed axioms : 415
% 0.74/0.63 # Removed by relevancy pruning/SinE : 100
% 0.74/0.63 # Initial clauses : 748
% 0.74/0.63 # Removed in clause preprocessing : 24
% 0.74/0.63 # Initial clauses in saturation : 724
% 0.74/0.63 # Processed clauses : 1025
% 0.74/0.63 # ...of these trivial : 8
% 0.74/0.63 # ...subsumed : 252
% 0.74/0.63 # ...remaining for further processing : 765
% 0.74/0.63 # Other redundant clauses eliminated : 83
% 0.74/0.63 # Clauses deleted for lack of memory : 0
% 0.74/0.63 # Backward-subsumed : 3
% 0.74/0.63 # Backward-rewritten : 6
% 0.74/0.63 # Generated clauses : 548
% 0.74/0.63 # ...of the previous two non-redundant : 412
% 0.74/0.63 # ...aggressively subsumed : 0
% 0.74/0.63 # Contextual simplify-reflections : 2
% 0.74/0.63 # Paramodulations : 462
% 0.74/0.63 # Factorizations : 0
% 0.74/0.63 # NegExts : 2
% 0.74/0.63 # Equation resolutions : 86
% 0.74/0.63 # Disequality decompositions : 0
% 0.74/0.63 # Total rewrite steps : 145
% 0.74/0.63 # ...of those cached : 96
% 0.74/0.63 # Propositional unsat checks : 0
% 0.74/0.63 # Propositional check models : 0
% 0.74/0.63 # Propositional check unsatisfiable : 0
% 0.74/0.63 # Propositional clauses : 0
% 0.74/0.63 # Propositional clauses after purity: 0
% 0.74/0.63 # Propositional unsat core size : 0
% 0.74/0.63 # Propositional preprocessing time : 0.000
% 0.74/0.63 # Propositional encoding time : 0.000
% 0.74/0.63 # Propositional solver time : 0.000
% 0.74/0.63 # Success case prop preproc time : 0.000
% 0.74/0.63 # Success case prop encoding time : 0.000
% 0.74/0.63 # Success case prop solver time : 0.000
% 0.74/0.63 # Current number of processed clauses : 178
% 0.74/0.63 # Positive orientable unit clauses : 47
% 0.74/0.63 # Positive unorientable unit clauses: 3
% 0.74/0.63 # Negative unit clauses : 14
% 0.74/0.63 # Non-unit-clauses : 114
% 0.74/0.63 # Current number of unprocessed clauses: 620
% 0.74/0.63 # ...number of literals in the above : 1814
% 0.74/0.63 # Current number of archived formulas : 0
% 0.74/0.63 # Current number of archived clauses : 519
% 0.74/0.63 # Clause-clause subsumption calls (NU) : 39945
% 0.74/0.63 # Rec. Clause-clause subsumption calls : 15809
% 0.74/0.63 # Non-unit clause-clause subsumptions : 176
% 0.74/0.63 # Unit Clause-clause subsumption calls : 132
% 0.74/0.63 # Rewrite failures with RHS unbound : 0
% 0.74/0.63 # BW rewrite match attempts : 35
% 0.74/0.63 # BW rewrite match successes : 17
% 0.74/0.63 # Condensation attempts : 0
% 0.74/0.63 # Condensation successes : 0
% 0.74/0.63 # Termbank termtop insertions : 65656
% 0.74/0.63 # Search garbage collected termcells : 17417
% 0.74/0.63
% 0.74/0.63 # -------------------------------------------------
% 0.74/0.63 # User time : 0.078 s
% 0.74/0.63 # System time : 0.013 s
% 0.74/0.63 # Total time : 0.091 s
% 0.74/0.63 # Maximum resident set size: 5560 pages
% 0.74/0.63
% 0.74/0.63 # -------------------------------------------------
% 0.74/0.63 # User time : 0.376 s
% 0.74/0.63 # System time : 0.042 s
% 0.74/0.63 # Total time : 0.417 s
% 0.74/0.63 # Maximum resident set size: 2668 pages
% 0.74/0.63 % E---3.1 exiting
% 0.74/0.63 % E exiting
%------------------------------------------------------------------------------