TSTP Solution File: SWW474^3 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SWW474^3 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n022.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 06:43:04 EDT 2024
% Result : Theorem 1.86s 0.88s
% Output : CNFRefutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 32
% Syntax : Number of formulae : 61 ( 17 unt; 21 typ; 0 def)
% Number of atoms : 112 ( 16 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 206 ( 23 ~; 19 |; 0 &; 157 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 40 ( 40 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 6 con; 0-3 aty)
% Number of variables : 38 ( 3 ^ 35 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
pname: $tType ).
thf(decl_sort2,type,
hoare_1708887482_state: $tType ).
thf(decl_sort3,type,
com: $tType ).
thf(decl_sort4,type,
option_com: $tType ).
thf(decl_24,type,
wt: com > $o ).
thf(decl_25,type,
wT_bodies: $o ).
thf(decl_26,type,
body: pname > option_com ).
thf(decl_27,type,
body_1: pname > com ).
thf(decl_87,type,
hoare_Mirabelle_MGT: com > hoare_1708887482_state ).
thf(decl_88,type,
hoare_90032982_state: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > $o ).
thf(decl_90,type,
hoare_1160767572gleton: $o ).
thf(decl_107,type,
dom_pname_com: ( pname > option_com ) > pname > $o ).
thf(decl_120,type,
some_com: com > option_com ).
thf(decl_126,type,
the_com: option_com > com ).
thf(decl_133,type,
bot_bo19817387tate_o: hoare_1708887482_state > $o ).
thf(decl_167,type,
image_1116629049_state: ( pname > hoare_1708887482_state ) > ( pname > $o ) > hoare_1708887482_state > $o ).
thf(decl_178,type,
insert528405184_state: hoare_1708887482_state > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
thf(decl_196,type,
pn: pname ).
thf(decl_197,type,
y: com ).
thf(decl_299,type,
esk64_0: pname > hoare_1708887482_state ).
thf(decl_300,type,
esk65_0: pname > hoare_1708887482_state ).
thf(fact_297_WT__bodiesD,axiom,
! [X19: pname,X707: com] :
( wT_bodies
=> ( ( ( body @ X19 )
= ( some_com @ X707 ) )
=> ( wt @ X707 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_297_WT__bodiesD) ).
thf(fact_66_MGF,axiom,
! [X153: com] :
( hoare_1160767572gleton
=> ( wT_bodies
=> ( ( wt @ X153 )
=> ( hoare_90032982_state @ bot_bo19817387tate_o @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ X153 ) @ bot_bo19817387tate_o ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_MGF) ).
thf(fact_374_the_Osimps,axiom,
! [X948: com] :
( ( the_com @ ( some_com @ X948 ) )
= X948 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_374_the_Osimps) ).
thf(conj_1,hypothesis,
wT_bodies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(conj_0,hypothesis,
hoare_1160767572gleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(conj_5,hypothesis,
( ( body @ pn )
= ( some_com @ y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
thf(conj_7,conjecture,
( hoare_90032982_state
@ ( image_1116629049_state
@ ^ [X887: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ X887 ) )
@ ( dom_pname_com @ body ) )
@ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo19817387tate_o ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).
thf(fact_4_cut,axiom,
! [X10: hoare_1708887482_state > $o,X11: hoare_1708887482_state > $o,X12: hoare_1708887482_state > $o] :
( ( hoare_90032982_state @ X11 @ X12 )
=> ( ( hoare_90032982_state @ X10 @ X11 )
=> ( hoare_90032982_state @ X10 @ X12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cut) ).
thf(fact_0_empty,axiom,
! [X1: hoare_1708887482_state > $o] : ( hoare_90032982_state @ X1 @ bot_bo19817387tate_o ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty) ).
thf(c_0_9,plain,
! [X4427: pname,X4428: com] :
( ~ wT_bodies
| ( ( body @ X4427 )
!= ( some_com @ X4428 ) )
| ( wt @ X4428 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_297_WT__bodiesD])])]) ).
thf(c_0_10,plain,
! [X4426: com] :
( ~ hoare_1160767572gleton
| ~ wT_bodies
| ~ ( wt @ X4426 )
| ( hoare_90032982_state @ bot_bo19817387tate_o @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ X4426 ) @ bot_bo19817387tate_o ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_66_MGF])])]) ).
thf(c_0_11,plain,
! [X4648: com] :
( ( the_com @ ( some_com @ X4648 ) )
= X4648 ),
inference(variable_rename,[status(thm)],[fact_374_the_Osimps]) ).
thf(c_0_12,plain,
! [X19: pname,X48: com] :
( ( wt @ X48 )
| ~ wT_bodies
| ( ( body @ X19 )
!= ( some_com @ X48 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_13,hypothesis,
wT_bodies,
inference(split_conjunct,[status(thm)],[conj_1]) ).
thf(c_0_14,plain,
! [X48: com] :
( ( hoare_90032982_state @ bot_bo19817387tate_o @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ X48 ) @ bot_bo19817387tate_o ) )
| ~ hoare_1160767572gleton
| ~ wT_bodies
| ~ ( wt @ X48 ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_15,hypothesis,
hoare_1160767572gleton,
inference(split_conjunct,[status(thm)],[conj_0]) ).
thf(c_0_16,plain,
! [X5767: pname] :
( ( esk64_0 @ X5767 )
= ( hoare_Mirabelle_MGT @ ( the_com @ ( body @ X5767 ) ) ) ),
inference(variable_rename,[status(thm)],]) ).
thf(c_0_17,plain,
! [X48: com] :
( ( the_com @ ( some_com @ X48 ) )
= X48 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_18,hypothesis,
( ( body @ pn )
= ( some_com @ y ) ),
inference(split_conjunct,[status(thm)],[conj_5]) ).
thf(c_0_19,plain,
! [X19: pname,X48: com] :
( ( wt @ X48 )
| ( ( body @ X19 )
!= ( some_com @ X48 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).
thf(c_0_20,negated_conjecture,
~ ( hoare_90032982_state
@ ( image_1116629049_state
@ ^ [Z0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Z0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo19817387tate_o ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_7])])]) ).
thf(c_0_21,plain,
! [X4683: hoare_1708887482_state > $o,X4684: hoare_1708887482_state > $o,X4685: hoare_1708887482_state > $o] :
( ~ ( hoare_90032982_state @ X4684 @ X4685 )
| ~ ( hoare_90032982_state @ X4683 @ X4684 )
| ( hoare_90032982_state @ X4683 @ X4685 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_cut])])]) ).
thf(c_0_22,plain,
! [X4674: hoare_1708887482_state > $o] : ( hoare_90032982_state @ X4674 @ bot_bo19817387tate_o ),
inference(variable_rename,[status(thm)],[fact_0_empty]) ).
thf(c_0_23,plain,
! [X48: com] :
( ( hoare_90032982_state @ bot_bo19817387tate_o @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ X48 ) @ bot_bo19817387tate_o ) )
| ~ ( wt @ X48 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_13]),c_0_15])]) ).
thf(c_0_24,plain,
! [X19: pname] :
( ( esk64_0 @ X19 )
= ( hoare_Mirabelle_MGT @ ( the_com @ ( body @ X19 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_25,hypothesis,
( ( the_com @ ( body @ pn ) )
= y ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
thf(c_0_26,hypothesis,
! [X19: pname] :
( ( wt @ y )
| ( ( body @ X19 )
!= ( body @ pn ) ) ),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
thf(c_0_27,negated_conjecture,
~ ( hoare_90032982_state
@ ( image_1116629049_state
@ ^ [Z0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Z0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo19817387tate_o ) ),
inference(fof_nnf,[status(thm)],[c_0_20]) ).
thf(c_0_28,plain,
! [X5708: pname] :
( ( esk65_0 @ X5708 )
= ( hoare_Mirabelle_MGT @ ( body_1 @ X5708 ) ) ),
introduced(definition) ).
thf(c_0_29,plain,
! [X3: hoare_1708887482_state > $o,X2: hoare_1708887482_state > $o,X1: hoare_1708887482_state > $o] :
( ( hoare_90032982_state @ X3 @ X2 )
| ~ ( hoare_90032982_state @ X1 @ X2 )
| ~ ( hoare_90032982_state @ X3 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_30,plain,
! [X1: hoare_1708887482_state > $o] : ( hoare_90032982_state @ X1 @ bot_bo19817387tate_o ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_31,plain,
! [X19: pname] :
( ( hoare_90032982_state @ bot_bo19817387tate_o @ ( insert528405184_state @ ( esk64_0 @ X19 ) @ bot_bo19817387tate_o ) )
| ~ ( wt @ ( the_com @ ( body @ X19 ) ) ) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
thf(c_0_32,hypothesis,
( ( esk64_0 @ pn )
= ( hoare_Mirabelle_MGT @ y ) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
thf(c_0_33,hypothesis,
wt @ y,
inference(er,[status(thm)],[c_0_26]) ).
thf(c_0_34,negated_conjecture,
( ( hoare_90032982_state @ ( image_1116629049_state @ esk65_0 @ ( dom_pname_com @ body ) ) @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo19817387tate_o ) )
!= $true ),
inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_27]),c_0_28]) ).
thf(c_0_35,plain,
! [X1: hoare_1708887482_state > $o,X2: hoare_1708887482_state > $o] :
( ( hoare_90032982_state @ X1 @ X2 )
| ~ ( hoare_90032982_state @ bot_bo19817387tate_o @ X2 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
thf(c_0_36,hypothesis,
hoare_90032982_state @ bot_bo19817387tate_o @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo19817387tate_o ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_25]),c_0_33])]) ).
thf(c_0_37,negated_conjecture,
~ ( hoare_90032982_state @ ( image_1116629049_state @ esk65_0 @ ( dom_pname_com @ body ) ) @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo19817387tate_o ) ),
inference(cn,[status(thm)],[c_0_34]) ).
thf(c_0_38,hypothesis,
! [X1: hoare_1708887482_state > $o] : ( hoare_90032982_state @ X1 @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo19817387tate_o ) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
thf(c_0_39,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : SWW474^3 : TPTP v8.2.0. Released v5.3.0.
% 0.03/0.10 % Command : run_E %s %d THM
% 0.10/0.29 % Computer : n022.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Sat May 18 20:02:07 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.13/0.40 Running higher-order theorem proving
% 0.13/0.40 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
% 1.86/0.88 # Version: 3.1.0-ho
% 1.86/0.88 # partial match(2): HSLMSMSSSSLCHSA
% 1.86/0.88 # Preprocessing class: HMLMSLSSSSLCHSA.
% 1.86/0.88 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.86/0.88 # Starting pre_casc_6 with 1500s (5) cores
% 1.86/0.88 # Starting ehoh_best7 with 300s (1) cores
% 1.86/0.88 # Starting new_bool_8 with 300s (1) cores
% 1.86/0.88 # Starting new_ho_11 with 300s (1) cores
% 1.86/0.88 # new_bool_8 with pid 32543 completed with status 0
% 1.86/0.88 # Result found by new_bool_8
% 1.86/0.88 # partial match(2): HSLMSMSSSSLCHSA
% 1.86/0.88 # Preprocessing class: HMLMSLSSSSLCHSA.
% 1.86/0.88 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.86/0.88 # Starting pre_casc_6 with 1500s (5) cores
% 1.86/0.88 # Starting ehoh_best7 with 300s (1) cores
% 1.86/0.88 # Starting new_bool_8 with 300s (1) cores
% 1.86/0.88 # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 1.86/0.88 # Search class: HGHSM-FSLM32-MHSFFSBN
% 1.86/0.88 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.86/0.88 # Starting new_ho_10 with 163s (1) cores
% 1.86/0.88 # new_ho_10 with pid 32545 completed with status 0
% 1.86/0.88 # Result found by new_ho_10
% 1.86/0.88 # partial match(2): HSLMSMSSSSLCHSA
% 1.86/0.88 # Preprocessing class: HMLMSLSSSSLCHSA.
% 1.86/0.88 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.86/0.88 # Starting pre_casc_6 with 1500s (5) cores
% 1.86/0.88 # Starting ehoh_best7 with 300s (1) cores
% 1.86/0.88 # Starting new_bool_8 with 300s (1) cores
% 1.86/0.88 # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 1.86/0.88 # Search class: HGHSM-FSLM32-MHSFFSBN
% 1.86/0.88 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.86/0.88 # Starting new_ho_10 with 163s (1) cores
% 1.86/0.88 # Preprocessing time : 0.007 s
% 1.86/0.88 # Presaturation interreduction done
% 1.86/0.88
% 1.86/0.88 # Proof found!
% 1.86/0.88 # SZS status Theorem
% 1.86/0.88 # SZS output start CNFRefutation
% See solution above
% 1.86/0.88 # Parsed axioms : 1408
% 1.86/0.88 # Removed by relevancy pruning/SinE : 940
% 1.86/0.88 # Initial clauses : 714
% 1.86/0.88 # Removed in clause preprocessing : 19
% 1.86/0.88 # Initial clauses in saturation : 695
% 1.86/0.88 # Processed clauses : 2422
% 1.86/0.88 # ...of these trivial : 75
% 1.86/0.88 # ...subsumed : 841
% 1.86/0.88 # ...remaining for further processing : 1506
% 1.86/0.88 # Other redundant clauses eliminated : 178
% 1.86/0.88 # Clauses deleted for lack of memory : 0
% 1.86/0.88 # Backward-subsumed : 11
% 1.86/0.88 # Backward-rewritten : 10
% 1.86/0.88 # Generated clauses : 12588
% 1.86/0.88 # ...of the previous two non-redundant : 11060
% 1.86/0.88 # ...aggressively subsumed : 0
% 1.86/0.88 # Contextual simplify-reflections : 4
% 1.86/0.88 # Paramodulations : 11755
% 1.86/0.88 # Factorizations : 16
% 1.86/0.88 # NegExts : 46
% 1.86/0.88 # Equation resolutions : 190
% 1.86/0.88 # Disequality decompositions : 0
% 1.86/0.88 # Total rewrite steps : 4257
% 1.86/0.88 # ...of those cached : 3773
% 1.86/0.88 # Propositional unsat checks : 0
% 1.86/0.88 # Propositional check models : 0
% 1.86/0.88 # Propositional check unsatisfiable : 0
% 1.86/0.88 # Propositional clauses : 0
% 1.86/0.88 # Propositional clauses after purity: 0
% 1.86/0.88 # Propositional unsat core size : 0
% 1.86/0.88 # Propositional preprocessing time : 0.000
% 1.86/0.88 # Propositional encoding time : 0.000
% 1.86/0.88 # Propositional solver time : 0.000
% 1.86/0.88 # Success case prop preproc time : 0.000
% 1.86/0.88 # Success case prop encoding time : 0.000
% 1.86/0.88 # Success case prop solver time : 0.000
% 1.86/0.88 # Current number of processed clauses : 796
% 1.86/0.88 # Positive orientable unit clauses : 118
% 1.86/0.88 # Positive unorientable unit clauses: 7
% 1.86/0.88 # Negative unit clauses : 33
% 1.86/0.88 # Non-unit-clauses : 638
% 1.86/0.88 # Current number of unprocessed clauses: 9768
% 1.86/0.88 # ...number of literals in the above : 29268
% 1.86/0.88 # Current number of archived formulas : 0
% 1.86/0.88 # Current number of archived clauses : 647
% 1.86/0.88 # Clause-clause subsumption calls (NU) : 82210
% 1.86/0.88 # Rec. Clause-clause subsumption calls : 45017
% 1.86/0.88 # Non-unit clause-clause subsumptions : 531
% 1.86/0.88 # Unit Clause-clause subsumption calls : 2970
% 1.86/0.88 # Rewrite failures with RHS unbound : 0
% 1.86/0.88 # BW rewrite match attempts : 1290
% 1.86/0.88 # BW rewrite match successes : 146
% 1.86/0.88 # Condensation attempts : 2422
% 1.86/0.88 # Condensation successes : 22
% 1.86/0.88 # Termbank termtop insertions : 246874
% 1.86/0.88 # Search garbage collected termcells : 23527
% 1.86/0.88
% 1.86/0.88 # -------------------------------------------------
% 1.86/0.88 # User time : 0.376 s
% 1.86/0.88 # System time : 0.015 s
% 1.86/0.88 # Total time : 0.391 s
% 1.86/0.88 # Maximum resident set size: 7900 pages
% 1.86/0.88
% 1.86/0.88 # -------------------------------------------------
% 1.86/0.88 # User time : 0.436 s
% 1.86/0.88 # System time : 0.025 s
% 1.86/0.88 # Total time : 0.461 s
% 1.86/0.88 # Maximum resident set size: 5244 pages
% 1.86/0.88 % E---3.1 exiting
% 1.86/0.88 % E exiting
%------------------------------------------------------------------------------