TSTP Solution File: CSR153^2 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : CSR153^2 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.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 19:16:48 EDT 2024
% Result : Theorem 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 6 unt; 3 typ; 0 def)
% Number of atoms : 14 ( 13 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 54 ( 18 ~; 5 |; 7 &; 24 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 0 ^ 11 !; 2 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_43,type,
lBill_THFTYPE_i: $i ).
thf(decl_45,type,
lBob_THFTYPE_i: $i ).
thf(decl_58,type,
lSue_THFTYPE_i: $i ).
thf(con,conjecture,
? [X52: $i > $i > $o] :
( ( X52 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
& ( X52 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ~ ! [X1: $i,X2: $i] : ( X52 @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(ax_020,axiom,
( ( lSue_THFTYPE_i != lBill_THFTYPE_i )
& ( lSue_THFTYPE_i != lBob_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_020) ).
thf(ax_001,axiom,
lBob_THFTYPE_i != lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
thf(c_0_3,negated_conjecture,
~ ? [X52: $i > $i > $o] :
( ( X52 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
& ( X52 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ~ ! [X1: $i,X2: $i] : ( X52 @ X1 @ X2 ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_4,plain,
( ( lSue_THFTYPE_i != lBill_THFTYPE_i )
& ( lSue_THFTYPE_i != lBob_THFTYPE_i ) ),
inference(fof_simplification,[status(thm)],[ax_020]) ).
thf(c_0_5,negated_conjecture,
! [X62: $i > $i > $o,X63: $i,X64: $i] :
( ~ ( X62 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( X62 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
| ( X62 @ X63 @ X64 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
thf(c_0_6,plain,
lBob_THFTYPE_i != lBill_THFTYPE_i,
inference(fof_simplification,[status(thm)],[ax_001]) ).
thf(c_0_7,plain,
( ( lSue_THFTYPE_i != lBill_THFTYPE_i )
& ( lSue_THFTYPE_i != lBob_THFTYPE_i ) ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
thf(c_0_8,negated_conjecture,
! [X1: $i,X2: $i,X28: $i > $i > $o] :
( ( X28 @ X1 @ X2 )
| ~ ( X28 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( X28 @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
lBob_THFTYPE_i != lBill_THFTYPE_i,
inference(fof_nnf,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
lSue_THFTYPE_i != lBill_THFTYPE_i,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,negated_conjecture,
! [X1: $i] :
( ( lSue_THFTYPE_i = X1 )
| ( lBob_THFTYPE_i = X1 ) ),
inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_8]) ).
thf(c_0_12,plain,
lBob_THFTYPE_i != lBill_THFTYPE_i,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_13,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11])]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR153^2 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n008.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 : Sun May 19 00:29:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running higher-order theorem proving
% 0.19/0.46 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
% 0.19/0.49 # Version: 3.1.0-ho
% 0.19/0.49 # Preprocessing class: HSLSSMSMSSSNHSA.
% 0.19/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.49 # Starting new_ho_10_cnf2 with 300s (1) cores
% 0.19/0.49 # Starting lpo9_lambda_fix with 300s (1) cores
% 0.19/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49 # new_bool_1 with pid 19565 completed with status 0
% 0.19/0.49 # Result found by new_bool_1
% 0.19/0.49 # Preprocessing class: HSLSSMSMSSSNHSA.
% 0.19/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.49 # Starting new_ho_10_cnf2 with 300s (1) cores
% 0.19/0.49 # Starting lpo9_lambda_fix with 300s (1) cores
% 0.19/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49 # Search class: HGHSF-FFSM11-SHSFFSBN
% 0.19/0.49 # partial match(2): HGHSF-FFSF11-SSSFFSBN
% 0.19/0.49 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49 # Starting ehoh_best2_full_lfho with 163s (1) cores
% 0.19/0.49 # ehoh_best2_full_lfho with pid 19566 completed with status 0
% 0.19/0.49 # Result found by ehoh_best2_full_lfho
% 0.19/0.49 # Preprocessing class: HSLSSMSMSSSNHSA.
% 0.19/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.49 # Starting new_ho_10_cnf2 with 300s (1) cores
% 0.19/0.49 # Starting lpo9_lambda_fix with 300s (1) cores
% 0.19/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49 # Search class: HGHSF-FFSM11-SHSFFSBN
% 0.19/0.49 # partial match(2): HGHSF-FFSF11-SSSFFSBN
% 0.19/0.49 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49 # Starting ehoh_best2_full_lfho with 163s (1) cores
% 0.19/0.49 # Preprocessing time : 0.002 s
% 0.19/0.49
% 0.19/0.49 # Proof found!
% 0.19/0.49 # SZS status Theorem
% 0.19/0.49 # SZS output start CNFRefutation
% See solution above
% 0.19/0.49 # Parsed axioms : 194
% 0.19/0.49 # Removed by relevancy pruning/SinE : 175
% 0.19/0.49 # Initial clauses : 29
% 0.19/0.49 # Removed in clause preprocessing : 0
% 0.19/0.49 # Initial clauses in saturation : 29
% 0.19/0.49 # Processed clauses : 35
% 0.19/0.49 # ...of these trivial : 3
% 0.19/0.49 # ...subsumed : 7
% 0.19/0.49 # ...remaining for further processing : 25
% 0.19/0.49 # Other redundant clauses eliminated : 1
% 0.19/0.49 # Clauses deleted for lack of memory : 0
% 0.19/0.49 # Backward-subsumed : 0
% 0.19/0.49 # Backward-rewritten : 0
% 0.19/0.49 # Generated clauses : 105
% 0.19/0.49 # ...of the previous two non-redundant : 82
% 0.19/0.49 # ...aggressively subsumed : 0
% 0.19/0.49 # Contextual simplify-reflections : 0
% 0.19/0.49 # Paramodulations : 35
% 0.19/0.49 # Factorizations : 2
% 0.19/0.49 # NegExts : 0
% 0.19/0.49 # Equation resolutions : 1
% 0.19/0.49 # Disequality decompositions : 0
% 0.19/0.49 # Total rewrite steps : 5
% 0.19/0.49 # ...of those cached : 2
% 0.19/0.49 # Propositional unsat checks : 0
% 0.19/0.49 # Propositional check models : 0
% 0.19/0.49 # Propositional check unsatisfiable : 0
% 0.19/0.49 # Propositional clauses : 0
% 0.19/0.49 # Propositional clauses after purity: 0
% 0.19/0.49 # Propositional unsat core size : 0
% 0.19/0.49 # Propositional preprocessing time : 0.000
% 0.19/0.49 # Propositional encoding time : 0.000
% 0.19/0.49 # Propositional solver time : 0.000
% 0.19/0.49 # Success case prop preproc time : 0.000
% 0.19/0.49 # Success case prop encoding time : 0.000
% 0.19/0.49 # Success case prop solver time : 0.000
% 0.19/0.49 # Current number of processed clauses : 25
% 0.19/0.49 # Positive orientable unit clauses : 13
% 0.19/0.49 # Positive unorientable unit clauses: 0
% 0.19/0.49 # Negative unit clauses : 3
% 0.19/0.49 # Non-unit-clauses : 9
% 0.19/0.49 # Current number of unprocessed clauses: 53
% 0.19/0.49 # ...number of literals in the above : 114
% 0.19/0.49 # Current number of archived formulas : 0
% 0.19/0.49 # Current number of archived clauses : 0
% 0.19/0.49 # Clause-clause subsumption calls (NU) : 11
% 0.19/0.49 # Rec. Clause-clause subsumption calls : 9
% 0.19/0.49 # Non-unit clause-clause subsumptions : 0
% 0.19/0.49 # Unit Clause-clause subsumption calls : 0
% 0.19/0.49 # Rewrite failures with RHS unbound : 0
% 0.19/0.49 # BW rewrite match attempts : 0
% 0.19/0.49 # BW rewrite match successes : 0
% 0.19/0.49 # Condensation attempts : 0
% 0.19/0.49 # Condensation successes : 0
% 0.19/0.49 # Termbank termtop insertions : 3847
% 0.19/0.49 # Search garbage collected termcells : 749
% 0.19/0.49
% 0.19/0.49 # -------------------------------------------------
% 0.19/0.49 # User time : 0.006 s
% 0.19/0.49 # System time : 0.004 s
% 0.19/0.49 # Total time : 0.009 s
% 0.19/0.49 # Maximum resident set size: 2116 pages
% 0.19/0.49
% 0.19/0.49 # -------------------------------------------------
% 0.19/0.49 # User time : 0.010 s
% 0.19/0.49 # System time : 0.005 s
% 0.19/0.49 # Total time : 0.015 s
% 0.19/0.49 # Maximum resident set size: 1884 pages
% 0.19/0.49 % E---3.1 exiting
% 0.19/0.49 % E exiting
%------------------------------------------------------------------------------