TSTP Solution File: SYO468^6 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO468^6 : TPTP v8.2.0. Released v4.0.0.
% 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 : Tue May 21 08:46:18 EDT 2024
% Result : Theorem 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 23
% Syntax : Number of formulae : 47 ( 21 unt; 13 typ; 0 def)
% Number of atoms : 91 ( 15 equ; 0 cnn)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 187 ( 26 ~; 23 |; 8 &; 124 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 52 ( 52 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 66 ( 28 ^ 38 !; 0 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_24,type,
mnot: ( $i > $o ) > $i > $o ).
thf(decl_25,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_27,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_40,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(decl_42,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(decl_49,type,
mvalid: ( $i > $o ) > $o ).
thf(decl_53,type,
rel_s5: $i > $i > $o ).
thf(decl_54,type,
mbox_s5: ( $i > $o ) > $i > $o ).
thf(decl_56,type,
p: $i > $o ).
thf(decl_57,type,
q: $i > $o ).
thf(decl_58,type,
esk1_0: $i ).
thf(decl_59,type,
esk2_0: $i ).
thf(decl_60,type,
esk3_0: $i ).
thf(mimplies,axiom,
( mimplies
= ( ^ [X6: $i > $o,X7: $i > $o] : ( mor @ ( mnot @ X6 ) @ X7 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mimplies) ).
thf(mnot,axiom,
( mnot
= ( ^ [X6: $i > $o,X3: $i] :
~ ( X6 @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mnot) ).
thf(mor,axiom,
( mor
= ( ^ [X6: $i > $o,X7: $i > $o,X3: $i] :
( ( X6 @ X3 )
| ( X7 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mor) ).
thf(mtransitive,axiom,
( mtransitive
= ( ^ [X13: $i > $i > $o] :
! [X15: $i,X16: $i,X17: $i] :
( ( ( X13 @ X15 @ X16 )
& ( X13 @ X16 @ X17 ) )
=> ( X13 @ X15 @ X17 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mtransitive) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [X6: $i > $o] :
! [X3: $i] : ( X6 @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mvalid) ).
thf(mbox_s5,axiom,
( mbox_s5
= ( ^ [X6: $i > $o,X3: $i] :
! [X14: $i] :
( ~ ( rel_s5 @ X3 @ X14 )
| ( X6 @ X14 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^6.ax',mbox_s5) ).
thf(msymmetric,axiom,
( msymmetric
= ( ^ [X13: $i > $i > $o] :
! [X15: $i,X16: $i] :
( ( X13 @ X15 @ X16 )
=> ( X13 @ X16 @ X15 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',msymmetric) ).
thf(a2,axiom,
mtransitive @ rel_s5,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^6.ax',a2) ).
thf(prove,conjecture,
mvalid @ ( mor @ ( mbox_s5 @ ( mimplies @ ( mbox_s5 @ p ) @ q ) ) @ ( mbox_s5 @ ( mimplies @ ( mbox_s5 @ q ) @ p ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).
thf(a3,axiom,
msymmetric @ rel_s5,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^6.ax',a3) ).
thf(c_0_10,plain,
( mimplies
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimplies]) ).
thf(c_0_11,plain,
( mnot
= ( ^ [Z0: $i > $o,Z1: $i] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot]) ).
thf(c_0_12,plain,
( mor
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mor]) ).
thf(c_0_13,plain,
( mtransitive
= ( ^ [Z0: $i > $i > $o] :
! [X15: $i,X16: $i,X17: $i] :
( ( ( Z0 @ X15 @ X16 )
& ( Z0 @ X16 @ X17 ) )
=> ( Z0 @ X15 @ X17 ) ) ) ),
inference(fof_simplification,[status(thm)],[mtransitive]) ).
thf(c_0_14,plain,
( mimplies
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
thf(c_0_15,plain,
( mvalid
= ( ^ [Z0: $i > $o] :
! [X3: $i] : ( Z0 @ X3 ) ) ),
inference(fof_simplification,[status(thm)],[mvalid]) ).
thf(c_0_16,plain,
( mbox_s5
= ( ^ [Z0: $i > $o,Z1: $i] :
! [X14: $i] :
( ~ ( rel_s5 @ Z1 @ X14 )
| ( Z0 @ X14 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox_s5]) ).
thf(c_0_17,plain,
( msymmetric
= ( ^ [Z0: $i > $i > $o] :
! [X15: $i,X16: $i] :
( ( Z0 @ X15 @ X16 )
=> ( Z0 @ X16 @ X15 ) ) ) ),
inference(fof_simplification,[status(thm)],[msymmetric]) ).
thf(c_0_18,plain,
! [X23: $i,X24: $i,X25: $i] :
( ( ( rel_s5 @ X23 @ X24 )
& ( rel_s5 @ X24 @ X25 ) )
=> ( rel_s5 @ X23 @ X25 ) ),
inference(apply_def,[status(thm)],[a2,c_0_13]) ).
thf(c_0_19,negated_conjecture,
~ ! [X32: $i] :
( ! [X29: $i] :
( ~ ( rel_s5 @ X32 @ X29 )
| ~ ! [X28: $i] :
( ~ ( rel_s5 @ X29 @ X28 )
| ( p @ X28 ) )
| ( q @ X29 ) )
| ! [X31: $i] :
( ~ ( rel_s5 @ X32 @ X31 )
| ~ ! [X30: $i] :
( ~ ( rel_s5 @ X31 @ X30 )
| ( q @ X30 ) )
| ( p @ X31 ) ) ),
inference(fof_simplification,[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)],[prove]),c_0_12]),c_0_14]),c_0_15]),c_0_16])]) ).
thf(c_0_20,plain,
! [X26: $i,X27: $i] :
( ( rel_s5 @ X26 @ X27 )
=> ( rel_s5 @ X27 @ X26 ) ),
inference(apply_def,[status(thm)],[a3,c_0_17]) ).
thf(c_0_21,plain,
! [X34: $i,X35: $i,X36: $i] :
( ~ ( rel_s5 @ X34 @ X35 )
| ~ ( rel_s5 @ X35 @ X36 )
| ( rel_s5 @ X34 @ X36 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
thf(c_0_22,negated_conjecture,
! [X41: $i,X43: $i] :
( ( rel_s5 @ esk1_0 @ esk2_0 )
& ( ~ ( rel_s5 @ esk2_0 @ X41 )
| ( p @ X41 ) )
& ~ ( q @ esk2_0 )
& ( rel_s5 @ esk1_0 @ esk3_0 )
& ( ~ ( rel_s5 @ esk3_0 @ X43 )
| ( q @ X43 ) )
& ~ ( p @ esk3_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_19])])])])]) ).
thf(c_0_23,plain,
! [X37: $i,X38: $i] :
( ~ ( rel_s5 @ X37 @ X38 )
| ( rel_s5 @ X38 @ X37 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
thf(c_0_24,plain,
! [X14: $i,X3: $i,X15: $i] :
( ( rel_s5 @ X3 @ X15 )
| ~ ( rel_s5 @ X3 @ X14 )
| ~ ( rel_s5 @ X14 @ X15 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_25,negated_conjecture,
rel_s5 @ esk1_0 @ esk3_0,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_26,plain,
! [X3: $i,X14: $i] :
( ( rel_s5 @ X14 @ X3 )
| ~ ( rel_s5 @ X3 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_27,negated_conjecture,
rel_s5 @ esk1_0 @ esk2_0,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_28,negated_conjecture,
! [X3: $i] :
( ( rel_s5 @ X3 @ esk3_0 )
| ~ ( rel_s5 @ X3 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
thf(c_0_29,negated_conjecture,
rel_s5 @ esk2_0 @ esk1_0,
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
thf(c_0_30,negated_conjecture,
! [X3: $i] :
( ( p @ X3 )
| ~ ( rel_s5 @ esk2_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_31,negated_conjecture,
rel_s5 @ esk2_0 @ esk3_0,
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
thf(c_0_32,negated_conjecture,
~ ( p @ esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_33,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO468^6 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon May 20 10:24:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.18/0.47 Running higher-order theorem proving
% 0.18/0.47 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
% 0.18/0.48 # Version: 3.1.0-ho
% 0.18/0.48 # Preprocessing class: HSMSSMSSMLMNHSN.
% 0.18/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48 # Starting ho_unfolding_3 with 1500s (5) cores
% 0.18/0.48 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.18/0.48 # Starting almost_fo_3_lam with 300s (1) cores
% 0.18/0.48 # Starting post_as_ho1 with 300s (1) cores
% 0.18/0.48 # ehoh_best2_full_lfho with pid 13153 completed with status 0
% 0.18/0.48 # Result found by ehoh_best2_full_lfho
% 0.18/0.48 # Preprocessing class: HSMSSMSSMLMNHSN.
% 0.18/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48 # Starting ho_unfolding_3 with 1500s (5) cores
% 0.18/0.48 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.18/0.48 # No SInE strategy applied
% 0.18/0.48 # Search class: HHUNF-FFSF00-SHSSMFNN
% 0.18/0.48 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.48 # Starting new_ho_10 with 163s (1) cores
% 0.18/0.48 # new_ho_10 with pid 13156 completed with status 0
% 0.18/0.48 # Result found by new_ho_10
% 0.18/0.48 # Preprocessing class: HSMSSMSSMLMNHSN.
% 0.18/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48 # Starting ho_unfolding_3 with 1500s (5) cores
% 0.18/0.48 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.18/0.48 # No SInE strategy applied
% 0.18/0.48 # Search class: HHUNF-FFSF00-SHSSMFNN
% 0.18/0.48 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.48 # Starting new_ho_10 with 163s (1) cores
% 0.18/0.48 # Preprocessing time : 0.001 s
% 0.18/0.48 # Presaturation interreduction done
% 0.18/0.48
% 0.18/0.48 # Proof found!
% 0.18/0.48 # SZS status Theorem
% 0.18/0.48 # SZS output start CNFRefutation
% See solution above
% 0.18/0.48 # Parsed axioms : 74
% 0.18/0.48 # Removed by relevancy pruning/SinE : 0
% 0.18/0.48 # Initial clauses : 46
% 0.18/0.48 # Removed in clause preprocessing : 37
% 0.18/0.48 # Initial clauses in saturation : 9
% 0.18/0.48 # Processed clauses : 26
% 0.18/0.48 # ...of these trivial : 0
% 0.18/0.48 # ...subsumed : 0
% 0.18/0.48 # ...remaining for further processing : 26
% 0.18/0.48 # Other redundant clauses eliminated : 0
% 0.18/0.48 # Clauses deleted for lack of memory : 0
% 0.18/0.48 # Backward-subsumed : 0
% 0.18/0.48 # Backward-rewritten : 0
% 0.18/0.48 # Generated clauses : 20
% 0.18/0.48 # ...of the previous two non-redundant : 13
% 0.18/0.48 # ...aggressively subsumed : 0
% 0.18/0.48 # Contextual simplify-reflections : 0
% 0.18/0.48 # Paramodulations : 20
% 0.18/0.48 # Factorizations : 0
% 0.18/0.48 # NegExts : 0
% 0.18/0.48 # Equation resolutions : 0
% 0.18/0.48 # Disequality decompositions : 0
% 0.18/0.48 # Total rewrite steps : 5
% 0.18/0.48 # ...of those cached : 1
% 0.18/0.48 # Propositional unsat checks : 0
% 0.18/0.48 # Propositional check models : 0
% 0.18/0.48 # Propositional check unsatisfiable : 0
% 0.18/0.48 # Propositional clauses : 0
% 0.18/0.48 # Propositional clauses after purity: 0
% 0.18/0.48 # Propositional unsat core size : 0
% 0.18/0.48 # Propositional preprocessing time : 0.000
% 0.18/0.48 # Propositional encoding time : 0.000
% 0.18/0.48 # Propositional solver time : 0.000
% 0.18/0.48 # Success case prop preproc time : 0.000
% 0.18/0.48 # Success case prop encoding time : 0.000
% 0.18/0.48 # Success case prop solver time : 0.000
% 0.18/0.48 # Current number of processed clauses : 17
% 0.18/0.48 # Positive orientable unit clauses : 10
% 0.18/0.48 # Positive unorientable unit clauses: 0
% 0.18/0.48 # Negative unit clauses : 2
% 0.18/0.48 # Non-unit-clauses : 5
% 0.18/0.48 # Current number of unprocessed clauses: 3
% 0.18/0.48 # ...number of literals in the above : 6
% 0.18/0.48 # Current number of archived formulas : 0
% 0.18/0.48 # Current number of archived clauses : 9
% 0.18/0.48 # Clause-clause subsumption calls (NU) : 9
% 0.18/0.48 # Rec. Clause-clause subsumption calls : 9
% 0.18/0.48 # Non-unit clause-clause subsumptions : 0
% 0.18/0.48 # Unit Clause-clause subsumption calls : 0
% 0.18/0.48 # Rewrite failures with RHS unbound : 0
% 0.18/0.48 # BW rewrite match attempts : 6
% 0.18/0.48 # BW rewrite match successes : 0
% 0.18/0.48 # Condensation attempts : 26
% 0.18/0.48 # Condensation successes : 0
% 0.18/0.48 # Termbank termtop insertions : 2713
% 0.18/0.48 # Search garbage collected termcells : 542
% 0.18/0.48
% 0.18/0.48 # -------------------------------------------------
% 0.18/0.48 # User time : 0.004 s
% 0.18/0.48 # System time : 0.002 s
% 0.18/0.48 # Total time : 0.006 s
% 0.18/0.48 # Maximum resident set size: 1920 pages
% 0.18/0.48
% 0.18/0.48 # -------------------------------------------------
% 0.18/0.48 # User time : 0.007 s
% 0.18/0.48 # System time : 0.004 s
% 0.18/0.48 # Total time : 0.011 s
% 0.18/0.48 # Maximum resident set size: 1804 pages
% 0.18/0.48 % E---3.1 exiting
% 0.18/0.48 % E exiting
%------------------------------------------------------------------------------