TSTP Solution File: SET676+3 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET676+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:20:13 EDT 2023
% Result : Theorem 0.15s 0.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 40 ( 17 ~; 14 |; 2 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 1 sgn; 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p4,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ilf_type(X2,identity_relation_of_type(X1))
<=> ilf_type(X2,relation_type(X1,X1)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.AGQzQbT3Fe/E---3.1_32286.p',p4) ).
fof(p19,axiom,
! [X1] : ilf_type(X1,set_type),
file('/export/starexec/sandbox2/tmp/tmp.AGQzQbT3Fe/E---3.1_32286.p',p19) ).
fof(p1,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ilf_type(cross_product(X1,X2),relation_type(X1,X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.AGQzQbT3Fe/E---3.1_32286.p',p1) ).
fof(prove_relset_1_41,conjecture,
! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(cross_product(X1,X1),identity_relation_of_type(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.AGQzQbT3Fe/E---3.1_32286.p',prove_relset_1_41) ).
fof(c_0_4,plain,
! [X8,X9] :
( ( ~ ilf_type(X9,identity_relation_of_type(X8))
| ilf_type(X9,relation_type(X8,X8))
| ~ ilf_type(X9,set_type)
| ~ ilf_type(X8,set_type) )
& ( ~ ilf_type(X9,relation_type(X8,X8))
| ilf_type(X9,identity_relation_of_type(X8))
| ~ ilf_type(X9,set_type)
| ~ ilf_type(X8,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p4])])])]) ).
fof(c_0_5,plain,
! [X7] : ilf_type(X7,set_type),
inference(variable_rename,[status(thm)],[p19]) ).
fof(c_0_6,plain,
! [X12,X13] :
( ~ ilf_type(X12,set_type)
| ~ ilf_type(X13,set_type)
| ilf_type(cross_product(X12,X13),relation_type(X12,X13)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])]) ).
fof(c_0_7,negated_conjecture,
~ ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(cross_product(X1,X1),identity_relation_of_type(X1)) ),
inference(assume_negation,[status(cth)],[prove_relset_1_41]) ).
cnf(c_0_8,plain,
( ilf_type(X1,identity_relation_of_type(X2))
| ~ ilf_type(X1,relation_type(X2,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( ilf_type(cross_product(X1,X2),relation_type(X1,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_11,negated_conjecture,
( ilf_type(esk1_0,set_type)
& ~ ilf_type(cross_product(esk1_0,esk1_0),identity_relation_of_type(esk1_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
cnf(c_0_12,plain,
( ilf_type(X1,identity_relation_of_type(X2))
| ~ ilf_type(X1,relation_type(X2,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_9])]) ).
cnf(c_0_13,plain,
ilf_type(cross_product(X1,X2),relation_type(X1,X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_9]),c_0_9])]) ).
cnf(c_0_14,negated_conjecture,
~ ilf_type(cross_product(esk1_0,esk1_0),identity_relation_of_type(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
ilf_type(cross_product(X1,X1),identity_relation_of_type(X1)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET676+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.11 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n008.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Oct 2 17:07:28 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.AGQzQbT3Fe/E---3.1_32286.p
% 0.15/0.42 # Version: 3.1pre001
% 0.15/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42 # Starting sh5l with 300s (1) cores
% 0.15/0.42 # new_bool_3 with pid 32365 completed with status 0
% 0.15/0.42 # Result found by new_bool_3
% 0.15/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.42 # Search class: FGHSF-FFMF21-SFFFFFNN
% 0.15/0.42 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 181s (1) cores
% 0.15/0.42 # 208_C09_12_F1_SE_CS_SP_PS_S070I with pid 32369 completed with status 0
% 0.15/0.42 # Result found by 208_C09_12_F1_SE_CS_SP_PS_S070I
% 0.15/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.42 # Search class: FGHSF-FFMF21-SFFFFFNN
% 0.15/0.42 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 181s (1) cores
% 0.15/0.42 # Preprocessing time : 0.001 s
% 0.15/0.42 # Presaturation interreduction done
% 0.15/0.42
% 0.15/0.42 # Proof found!
% 0.15/0.42 # SZS status Theorem
% 0.15/0.42 # SZS output start CNFRefutation
% See solution above
% 0.15/0.42 # Parsed axioms : 20
% 0.15/0.42 # Removed by relevancy pruning/SinE : 3
% 0.15/0.42 # Initial clauses : 31
% 0.15/0.42 # Removed in clause preprocessing : 0
% 0.15/0.42 # Initial clauses in saturation : 31
% 0.15/0.42 # Processed clauses : 45
% 0.15/0.42 # ...of these trivial : 6
% 0.15/0.42 # ...subsumed : 0
% 0.15/0.42 # ...remaining for further processing : 39
% 0.15/0.42 # Other redundant clauses eliminated : 0
% 0.15/0.42 # Clauses deleted for lack of memory : 0
% 0.15/0.42 # Backward-subsumed : 0
% 0.15/0.42 # Backward-rewritten : 2
% 0.15/0.42 # Generated clauses : 2
% 0.15/0.42 # ...of the previous two non-redundant : 2
% 0.15/0.42 # ...aggressively subsumed : 0
% 0.15/0.42 # Contextual simplify-reflections : 0
% 0.15/0.42 # Paramodulations : 2
% 0.15/0.42 # Factorizations : 0
% 0.15/0.42 # NegExts : 0
% 0.15/0.42 # Equation resolutions : 0
% 0.15/0.42 # Total rewrite steps : 58
% 0.15/0.42 # Propositional unsat checks : 0
% 0.15/0.42 # Propositional check models : 0
% 0.15/0.42 # Propositional check unsatisfiable : 0
% 0.15/0.42 # Propositional clauses : 0
% 0.15/0.42 # Propositional clauses after purity: 0
% 0.15/0.42 # Propositional unsat core size : 0
% 0.15/0.42 # Propositional preprocessing time : 0.000
% 0.15/0.42 # Propositional encoding time : 0.000
% 0.15/0.42 # Propositional solver time : 0.000
% 0.15/0.42 # Success case prop preproc time : 0.000
% 0.15/0.42 # Success case prop encoding time : 0.000
% 0.15/0.42 # Success case prop solver time : 0.000
% 0.15/0.42 # Current number of processed clauses : 13
% 0.15/0.42 # Positive orientable unit clauses : 6
% 0.15/0.42 # Positive unorientable unit clauses: 0
% 0.15/0.42 # Negative unit clauses : 1
% 0.15/0.42 # Non-unit-clauses : 6
% 0.15/0.42 # Current number of unprocessed clauses: 12
% 0.15/0.42 # ...number of literals in the above : 26
% 0.15/0.42 # Current number of archived formulas : 0
% 0.15/0.42 # Current number of archived clauses : 26
% 0.15/0.42 # Clause-clause subsumption calls (NU) : 24
% 0.15/0.42 # Rec. Clause-clause subsumption calls : 19
% 0.15/0.42 # Non-unit clause-clause subsumptions : 0
% 0.15/0.42 # Unit Clause-clause subsumption calls : 3
% 0.15/0.42 # Rewrite failures with RHS unbound : 0
% 0.15/0.42 # BW rewrite match attempts : 2
% 0.15/0.42 # BW rewrite match successes : 2
% 0.15/0.42 # Condensation attempts : 0
% 0.15/0.42 # Condensation successes : 0
% 0.15/0.42 # Termbank termtop insertions : 2667
% 0.15/0.42
% 0.15/0.42 # -------------------------------------------------
% 0.15/0.42 # User time : 0.007 s
% 0.15/0.42 # System time : 0.001 s
% 0.15/0.42 # Total time : 0.007 s
% 0.15/0.42 # Maximum resident set size: 1860 pages
% 0.15/0.42
% 0.15/0.42 # -------------------------------------------------
% 0.15/0.42 # User time : 0.008 s
% 0.15/0.42 # System time : 0.002 s
% 0.15/0.42 # Total time : 0.010 s
% 0.15/0.42 # Maximum resident set size: 1700 pages
% 0.15/0.42 % E---3.1 exiting
% 0.15/0.42 % E---3.1 exiting
%------------------------------------------------------------------------------