TSTP Solution File: SWV427^2 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SWV427^2 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.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 05:24:44 EDT 2024
% Result : Theorem 0.22s 0.51s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 30
% Syntax : Number of formulae : 60 ( 34 unt; 18 typ; 0 def)
% Number of atoms : 129 ( 25 equ; 0 cnn)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 233 ( 24 ~; 31 |; 6 &; 157 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 91 ( 91 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 5 con; 0-3 aty)
% Number of variables : 91 ( 52 ^ 39 !; 0 ?; 91 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_28,type,
mnot: ( $i > $o ) > $i > $o ).
thf(decl_29,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_31,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_33,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_37,type,
mvalid: ( $i > $o ) > $o ).
thf(decl_41,type,
rel: $i > $i > $o ).
thf(decl_42,type,
icl_atom: ( $i > $o ) > $i > $o ).
thf(decl_43,type,
icl_princ: ( $i > $o ) > $i > $o ).
thf(decl_46,type,
icl_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_49,type,
icl_says: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_50,type,
iclval: ( $i > $o ) > $o ).
thf(decl_51,type,
s: $i > $o ).
thf(decl_52,type,
a: $i > $o ).
thf(decl_53,type,
esk1_2: ( $i > $o ) > $i > $i ).
thf(decl_55,type,
esk3_0: $i ).
thf(decl_56,type,
esk4_0: $i ).
thf(decl_57,type,
esk5_0: $i ).
thf(decl_58,type,
esk6_0: $i ).
thf(mimpl,axiom,
( mimpl
= ( ^ [X7: $i > $o,X8: $i > $o] : ( mor @ ( mnot @ X7 ) @ X8 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mimpl) ).
thf(mnot,axiom,
( mnot
= ( ^ [X2: $i > $o,X3: $i] :
~ ( X2 @ X3 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mnot) ).
thf(mor,axiom,
( mor
= ( ^ [X4: $i > $o,X5: $i > $o,X3: $i] :
( ( X4 @ X3 )
| ( X5 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mor) ).
thf(icl_atom,axiom,
( icl_atom
= ( ^ [X11: $i > $o] : ( mbox @ rel @ X11 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV008^0.ax',icl_atom) ).
thf(mbox,axiom,
( mbox
= ( ^ [X10: $i > $i > $o,X11: $i > $o,X1: $i] :
! [X12: $i] :
( ( X10 @ X1 @ X12 )
=> ( X11 @ X12 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mbox) ).
thf(icl_impl,axiom,
( icl_impl
= ( ^ [X19: $i > $o,X20: $i > $o] : ( mbox @ rel @ ( mimpl @ X19 @ X20 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV008^0.ax',icl_impl) ).
thf(icl_says,axiom,
( icl_says
= ( ^ [X19: $i > $o,X21: $i > $o] : ( mbox @ rel @ ( mor @ X19 @ X21 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV008^0.ax',icl_says) ).
thf(icl_s4_valid,axiom,
( iclval
= ( ^ [X22: $i > $o] : ( mvalid @ X22 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV008^0.ax',icl_s4_valid) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [X11: $i > $o] :
! [X15: $i] : ( X11 @ X15 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mvalid) ).
thf(icl_princ,axiom,
( icl_princ
= ( ^ [X11: $i > $o] : X11 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV008^0.ax',icl_princ) ).
thf(idem,conjecture,
iclval @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idem) ).
thf(refl_axiom,axiom,
! [X19: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ X19 ) @ X19 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV008^1.ax',refl_axiom) ).
thf(c_0_12,plain,
( mimpl
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimpl]) ).
thf(c_0_13,plain,
( mnot
= ( ^ [Z0: $i > $o,Z1: $i] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot]) ).
thf(c_0_14,plain,
( mor
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mor]) ).
thf(c_0_15,plain,
( icl_atom
= ( ^ [Z0: $i > $o,Z1: $i] :
! [X25: $i] :
( ( rel @ Z1 @ X25 )
=> ( Z0 @ X25 ) ) ) ),
inference(fof_simplification,[status(thm)],[icl_atom]) ).
thf(c_0_16,plain,
( mbox
= ( ^ [Z0: $i > $i > $o,Z1: $i > $o,Z2: $i] :
! [X12: $i] :
( ( Z0 @ Z2 @ X12 )
=> ( Z1 @ X12 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox]) ).
thf(c_0_17,plain,
( icl_impl
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
! [X26: $i] :
( ( rel @ Z2 @ X26 )
=> ( ~ ( Z0 @ X26 )
| ( Z1 @ X26 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[icl_impl]) ).
thf(c_0_18,plain,
( mimpl
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
thf(c_0_19,plain,
( icl_says
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
! [X27: $i] :
( ( rel @ Z2 @ X27 )
=> ( ( Z0 @ X27 )
| ( Z1 @ X27 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[icl_says]) ).
thf(c_0_20,plain,
( iclval
= ( ^ [Z0: $i > $o] :
! [X28: $i] : ( Z0 @ X28 ) ) ),
inference(fof_simplification,[status(thm)],[icl_s4_valid]) ).
thf(c_0_21,plain,
( mvalid
= ( ^ [Z0: $i > $o] :
! [X15: $i] : ( Z0 @ X15 ) ) ),
inference(fof_simplification,[status(thm)],[mvalid]) ).
thf(c_0_22,plain,
( icl_atom
= ( ^ [Z0: $i > $o,Z1: $i] :
! [X25: $i] :
( ( rel @ Z1 @ X25 )
=> ( Z0 @ X25 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_15,c_0_16]) ).
thf(c_0_23,plain,
( icl_princ
= ( ^ [Z0: $i > $o] : Z0 ) ),
inference(fof_simplification,[status(thm)],[icl_princ]) ).
thf(c_0_24,plain,
( icl_impl
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
! [X26: $i] :
( ( rel @ Z2 @ X26 )
=> ( ~ ( Z0 @ X26 )
| ( Z1 @ X26 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_17,c_0_18]),c_0_16]) ).
thf(c_0_25,plain,
( icl_says
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
! [X27: $i] :
( ( rel @ Z2 @ X27 )
=> ( ( Z0 @ X27 )
| ( Z1 @ X27 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_19,c_0_14]),c_0_16]) ).
thf(c_0_26,plain,
( iclval
= ( ^ [Z0: $i > $o] :
! [X28: $i] : ( Z0 @ X28 ) ) ),
inference(apply_def,[status(thm)],[c_0_20,c_0_21]) ).
thf(c_0_27,negated_conjecture,
~ ! [X41: $i,X40: $i] :
( ( rel @ X41 @ X40 )
=> ( ~ ! [X37: $i] :
( ( rel @ X40 @ X37 )
=> ( ( a @ X37 )
| ! [X36: $i] :
( ( rel @ X37 @ X36 )
=> ( ( a @ X36 )
| ! [X35: $i] :
( ( rel @ X36 @ X35 )
=> ( s @ X35 ) ) ) ) ) )
| ! [X39: $i] :
( ( rel @ X40 @ X39 )
=> ( ( a @ X39 )
| ! [X38: $i] :
( ( rel @ X39 @ X38 )
=> ( s @ X38 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[idem]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26]) ).
thf(c_0_28,plain,
! [X19: $i > $o,X30: $i] :
( ~ ! [X29: $i] :
( ( rel @ X30 @ X29 )
=> ( X19 @ X29 ) )
| ( X19 @ X30 ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[refl_axiom,c_0_18]),c_0_16]),c_0_21]) ).
thf(c_0_29,negated_conjecture,
! [X52: $i,X53: $i,X54: $i] :
( ( rel @ esk3_0 @ esk4_0 )
& ( ~ ( rel @ esk4_0 @ X52 )
| ( a @ X52 )
| ~ ( rel @ X52 @ X53 )
| ( a @ X53 )
| ~ ( rel @ X53 @ X54 )
| ( s @ X54 ) )
& ( rel @ esk4_0 @ esk5_0 )
& ~ ( a @ esk5_0 )
& ( rel @ esk5_0 @ esk6_0 )
& ~ ( s @ esk6_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_27])])])])]) ).
thf(c_0_30,plain,
! [X42: $i > $o,X43: $i] :
( ( ( rel @ X43 @ ( esk1_2 @ X42 @ X43 ) )
| ( X42 @ X43 ) )
& ( ~ ( X42 @ ( esk1_2 @ X42 @ X43 ) )
| ( X42 @ X43 ) ) ),
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_28])])])])]) ).
thf(c_0_31,negated_conjecture,
! [X1: $i,X3: $i,X12: $i] :
( ( a @ X1 )
| ( a @ X3 )
| ( s @ X12 )
| ~ ( rel @ esk4_0 @ X1 )
| ~ ( rel @ X1 @ X3 )
| ~ ( rel @ X3 @ X12 ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_32,negated_conjecture,
rel @ esk4_0 @ esk5_0,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_33,negated_conjecture,
~ ( a @ esk5_0 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_34,plain,
! [X2: $i > $o,X1: $i] :
( ( X2 @ X1 )
| ~ ( X2 @ ( esk1_2 @ X2 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_35,plain,
! [X2: $i > $o,X1: $i] :
( ( rel @ X1 @ ( esk1_2 @ X2 @ X1 ) )
| ( X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_36,negated_conjecture,
! [X1: $i,X3: $i] :
( ( a @ X1 )
| ( s @ X3 )
| ~ ( rel @ esk5_0 @ X1 )
| ~ ( rel @ X1 @ X3 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
thf(c_0_37,plain,
! [X1: $i] : ( rel @ X1 @ X1 ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
thf(c_0_38,negated_conjecture,
~ ( s @ esk6_0 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_39,negated_conjecture,
! [X1: $i] :
( ( s @ X1 )
| ~ ( rel @ esk5_0 @ X1 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_33]) ).
thf(c_0_40,negated_conjecture,
rel @ esk5_0 @ esk6_0,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_41,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV427^2 : TPTP v8.2.0. Released v3.6.0.
% 0.14/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.22/0.35 % WCLimit : 300
% 0.22/0.35 % DateTime : Sun May 19 07:55:38 EDT 2024
% 0.22/0.35 % CPUTime :
% 0.22/0.49 Running higher-order theorem proving
% 0.22/0.49 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
% 0.22/0.51 # Version: 3.1.0-ho
% 0.22/0.51 # Preprocessing class: HSMSSMSSMLSNHSN.
% 0.22/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.22/0.51 # Starting post_as_ho3 with 300s (1) cores
% 0.22/0.51 # Starting post_as_ho11 with 300s (1) cores
% 0.22/0.51 # Starting full_lambda_8 with 300s (1) cores
% 0.22/0.51 # post_as_ho3 with pid 26915 completed with status 0
% 0.22/0.51 # Result found by post_as_ho3
% 0.22/0.51 # Preprocessing class: HSMSSMSSMLSNHSN.
% 0.22/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.22/0.51 # Starting post_as_ho3 with 300s (1) cores
% 0.22/0.51 # No SInE strategy applied
% 0.22/0.51 # Search class: HGUNF-FFSS22-SHSSMSBN
% 0.22/0.51 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.51 # Starting new_ho_10 with 163s (1) cores
% 0.22/0.51 # new_ho_10 with pid 26921 completed with status 0
% 0.22/0.51 # Result found by new_ho_10
% 0.22/0.51 # Preprocessing class: HSMSSMSSMLSNHSN.
% 0.22/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.22/0.51 # Starting post_as_ho3 with 300s (1) cores
% 0.22/0.51 # No SInE strategy applied
% 0.22/0.51 # Search class: HGUNF-FFSS22-SHSSMSBN
% 0.22/0.51 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.51 # Starting new_ho_10 with 163s (1) cores
% 0.22/0.51 # Preprocessing time : 0.001 s
% 0.22/0.51 # Presaturation interreduction done
% 0.22/0.51
% 0.22/0.51 # Proof found!
% 0.22/0.51 # SZS status Theorem
% 0.22/0.51 # SZS output start CNFRefutation
% See solution above
% 0.22/0.51 # Parsed axioms : 59
% 0.22/0.51 # Removed by relevancy pruning/SinE : 0
% 0.22/0.51 # Initial clauses : 42
% 0.22/0.51 # Removed in clause preprocessing : 32
% 0.22/0.51 # Initial clauses in saturation : 10
% 0.22/0.51 # Processed clauses : 23
% 0.22/0.51 # ...of these trivial : 0
% 0.22/0.51 # ...subsumed : 0
% 0.22/0.51 # ...remaining for further processing : 23
% 0.22/0.51 # Other redundant clauses eliminated : 0
% 0.22/0.51 # Clauses deleted for lack of memory : 0
% 0.22/0.51 # Backward-subsumed : 0
% 0.22/0.51 # Backward-rewritten : 0
% 0.22/0.51 # Generated clauses : 19
% 0.22/0.51 # ...of the previous two non-redundant : 18
% 0.22/0.51 # ...aggressively subsumed : 0
% 0.22/0.51 # Contextual simplify-reflections : 0
% 0.22/0.51 # Paramodulations : 19
% 0.22/0.51 # Factorizations : 0
% 0.22/0.51 # NegExts : 0
% 0.22/0.51 # Equation resolutions : 0
% 0.22/0.51 # Disequality decompositions : 0
% 0.22/0.51 # Total rewrite steps : 1
% 0.22/0.51 # ...of those cached : 0
% 0.22/0.51 # Propositional unsat checks : 0
% 0.22/0.51 # Propositional check models : 0
% 0.22/0.51 # Propositional check unsatisfiable : 0
% 0.22/0.51 # Propositional clauses : 0
% 0.22/0.51 # Propositional clauses after purity: 0
% 0.22/0.51 # Propositional unsat core size : 0
% 0.22/0.51 # Propositional preprocessing time : 0.000
% 0.22/0.51 # Propositional encoding time : 0.000
% 0.22/0.51 # Propositional solver time : 0.000
% 0.22/0.51 # Success case prop preproc time : 0.000
% 0.22/0.51 # Success case prop encoding time : 0.000
% 0.22/0.51 # Success case prop solver time : 0.000
% 0.22/0.51 # Current number of processed clauses : 13
% 0.22/0.51 # Positive orientable unit clauses : 4
% 0.22/0.51 # Positive unorientable unit clauses: 0
% 0.22/0.51 # Negative unit clauses : 2
% 0.22/0.51 # Non-unit-clauses : 7
% 0.22/0.51 # Current number of unprocessed clauses: 14
% 0.22/0.51 # ...number of literals in the above : 50
% 0.22/0.51 # Current number of archived formulas : 0
% 0.22/0.51 # Current number of archived clauses : 10
% 0.22/0.51 # Clause-clause subsumption calls (NU) : 23
% 0.22/0.51 # Rec. Clause-clause subsumption calls : 6
% 0.22/0.51 # Non-unit clause-clause subsumptions : 0
% 0.22/0.51 # Unit Clause-clause subsumption calls : 2
% 0.22/0.51 # Rewrite failures with RHS unbound : 0
% 0.22/0.51 # BW rewrite match attempts : 11
% 0.22/0.51 # BW rewrite match successes : 0
% 0.22/0.51 # Condensation attempts : 23
% 0.22/0.51 # Condensation successes : 0
% 0.22/0.51 # Termbank termtop insertions : 2815
% 0.22/0.51 # Search garbage collected termcells : 708
% 0.22/0.51
% 0.22/0.51 # -------------------------------------------------
% 0.22/0.51 # User time : 0.007 s
% 0.22/0.51 # System time : 0.002 s
% 0.22/0.51 # Total time : 0.008 s
% 0.22/0.51 # Maximum resident set size: 1908 pages
% 0.22/0.51
% 0.22/0.51 # -------------------------------------------------
% 0.22/0.51 # User time : 0.009 s
% 0.22/0.51 # System time : 0.004 s
% 0.22/0.51 # Total time : 0.013 s
% 0.22/0.51 # Maximum resident set size: 1776 pages
% 0.22/0.51 % E---3.1 exiting
% 0.22/0.51 % E exiting
%------------------------------------------------------------------------------