TSTP Solution File: SET633+3 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET633+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 19:20:03 EDT 2023
% Result : Timeout 408.26s 300.15s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 28 ( 3 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 23 ( 9 ~; 6 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn; 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th115,conjecture,
! [X1,X2,X3] :
( ( subset(difference(X1,X2),X3)
& subset(difference(X2,X1),X3) )
=> subset(symmetric_difference(X1,X2),X3) ),
file('/export/starexec/sandbox/tmp/tmp.MpCTDWC4IK/E---3.1_29050.p',prove_th115) ).
fof(union_subset,axiom,
! [X1,X2,X3] :
( ( subset(X1,X2)
& subset(X3,X2) )
=> subset(union(X1,X3),X2) ),
file('/export/starexec/sandbox/tmp/tmp.MpCTDWC4IK/E---3.1_29050.p',union_subset) ).
fof(symmetric_difference_defn,axiom,
! [X1,X2] : symmetric_difference(X1,X2) = union(difference(X1,X2),difference(X2,X1)),
file('/export/starexec/sandbox/tmp/tmp.MpCTDWC4IK/E---3.1_29050.p',symmetric_difference_defn) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2,X3] :
( ( subset(difference(X1,X2),X3)
& subset(difference(X2,X1),X3) )
=> subset(symmetric_difference(X1,X2),X3) ),
inference(assume_negation,[status(cth)],[prove_th115]) ).
fof(c_0_4,plain,
! [X7,X8,X9] :
( ~ subset(X7,X8)
| ~ subset(X9,X8)
| subset(union(X7,X9),X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[union_subset])]) ).
fof(c_0_5,plain,
! [X17,X18] : symmetric_difference(X17,X18) = union(difference(X17,X18),difference(X18,X17)),
inference(variable_rename,[status(thm)],[symmetric_difference_defn]) ).
fof(c_0_6,negated_conjecture,
( subset(difference(esk1_0,esk2_0),esk3_0)
& subset(difference(esk2_0,esk1_0),esk3_0)
& ~ subset(symmetric_difference(esk1_0,esk2_0),esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_7,plain,
( subset(union(X1,X3),X2)
| ~ subset(X1,X2)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
symmetric_difference(X1,X2) = union(difference(X1,X2),difference(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
~ subset(symmetric_difference(esk1_0,esk2_0),esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( subset(symmetric_difference(X1,X2),X3)
| ~ subset(difference(X2,X1),X3)
| ~ subset(difference(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
subset(difference(esk2_0,esk1_0),esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
subset(difference(esk1_0,esk2_0),esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SET633+3 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.15 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n002.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 2400
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Oct 2 16:50:44 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.MpCTDWC4IK/E---3.1_29050.p
% 408.26/300.15 # Version: 3.1pre001
% 408.26/300.15 # Preprocessing class: FSMSSMSSSSSNFFN.
% 408.26/300.15 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.26/300.15 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 408.26/300.15 # Starting new_bool_3 with 300s (1) cores
% 408.26/300.15 # Starting new_bool_1 with 300s (1) cores
% 408.26/300.15 # Starting sh5l with 300s (1) cores
% 408.26/300.15 # new_bool_3 with pid 29144 completed with status 0
% 408.26/300.15 # Result found by new_bool_3
% 408.26/300.15 # Preprocessing class: FSMSSMSSSSSNFFN.
% 408.26/300.15 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.26/300.15 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 408.26/300.15 # Starting new_bool_3 with 300s (1) cores
% 408.26/300.15 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 408.26/300.15 # Search class: FGHSM-FFSF22-SFFFFFNN
% 408.26/300.15 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 408.26/300.15 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 408.26/300.15 # SAT001_MinMin_p005000_rr_RG with pid 29147 completed with status 0
% 408.26/300.15 # Result found by SAT001_MinMin_p005000_rr_RG
% 408.26/300.15 # Preprocessing class: FSMSSMSSSSSNFFN.
% 408.26/300.15 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.26/300.15 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 408.26/300.15 # Starting new_bool_3 with 300s (1) cores
% 408.26/300.15 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 408.26/300.15 # Search class: FGHSM-FFSF22-SFFFFFNN
% 408.26/300.15 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 408.26/300.15 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 408.26/300.15 # Preprocessing time : 0.001 s
% 408.26/300.15 # Presaturation interreduction done
% 408.26/300.15
% 408.26/300.15 # Proof found!
% 408.26/300.15 # SZS status Theorem
% 408.26/300.15 # SZS output start CNFRefutation
% See solution above
% 408.26/300.15 # Parsed axioms : 9
% 408.26/300.15 # Removed by relevancy pruning/SinE : 0
% 408.26/300.15 # Initial clauses : 18
% 408.26/300.15 # Removed in clause preprocessing : 2
% 408.26/300.15 # Initial clauses in saturation : 16
% 408.26/300.15 # Processed clauses : 57
% 408.26/300.15 # ...of these trivial : 0
% 408.26/300.15 # ...subsumed : 4
% 408.26/300.15 # ...remaining for further processing : 53
% 408.26/300.15 # Other redundant clauses eliminated : 0
% 408.26/300.15 # Clauses deleted for lack of memory : 0
% 408.26/300.15 # Backward-subsumed : 0
% 408.26/300.15 # Backward-rewritten : 0
% 408.26/300.15 # Generated clauses : 61
% 408.26/300.15 # ...of the previous two non-redundant : 45
% 408.26/300.15 # ...aggressively subsumed : 0
% 408.26/300.15 # Contextual simplify-reflections : 0
% 408.26/300.15 # Paramodulations : 59
% 408.26/300.15 # Factorizations : 2
% 408.26/300.15 # NegExts : 0
% 408.26/300.15 # Equation resolutions : 0
% 408.26/300.15 # Total rewrite steps : 7
% 408.26/300.15 # Propositional unsat checks : 0
% 408.26/300.15 # Propositional check models : 0
% 408.26/300.15 # Propositional check unsatisfiable : 0
% 408.26/300.15 # Propositional clauses : 0
% 408.26/300.15 # Propositional clauses after purity: 0
% 408.26/300.15 # Propositional unsat core size : 0
% 408.26/300.15 # Propositional preprocessing time : 0.000
% 408.26/300.15 # Propositional encoding time : 0.000
% 408.26/300.15 # Propositional solver time : 0.000
% 408.26/300.15 # Success case prop preproc time : 0.000
% 408.26/300.15 # Success case prop encoding time : 0.000
% 408.26/300.15 # Success case prop solver time : 0.000
% 408.26/300.15 # Current number of processed clauses : 37
% 408.26/300.15 # Positive orientable unit clauses : 4
% 408.26/300.15 # Positive unorientable unit clauses: 2
% 408.26/300.15 # Negative unit clauses : 1
% 408.26/300.15 # Non-unit-clauses : 30
% 408.26/300.15 # Current number of unprocessed clauses: 19
% 408.26/300.15 # ...number of literals in the above : 67
% 408.26/300.15 # Current number of archived formulas : 0
% 408.26/300.15 # Current number of archived clauses : 16
% 408.26/300.15 # Clause-clause subsumption calls (NU) : 188
% 408.26/300.15 # Rec. Clause-clause subsumption calls : 159
% 408.26/300.15 # Non-unit clause-clause subsumptions : 2
% 408.26/300.15 # Unit Clause-clause subsumption calls : 0
% 408.26/300.15 # Rewrite failures with RHS unbound : 0
% 408.26/300.15 # BW rewrite match attempts : 4
% 408.26/300.15 # BW rewrite match successes : 4
% 408.26/300.15 # Condensation attempts : 0
% 408.26/300.15 # Condensation successes : 0
% 408.26/300.15 # Termbank termtop insertions : 2086
% 408.26/300.15
% 408.26/300.15 # -------------------------------------------------
% 408.26/300.15 # User time : 0.007 s
% 408.26/300.15 # System time : 0.000 s
% 408.26/300.15 # Total time : 0.007 s
% 408.26/300.15 # Maximum resident set size: 1772 pages
% 408.26/300.15
% 408.26/300.15 # -------------------------------------------------
% 408.26/300.15 # User time : 0.009 s
% 408.26/300.15 # System time : 0.001 s
% 408.26/300.15 # Total time : 0.010 s
% 408.26/300.15 # Maximum resident set size: 1676 pages
% 408.26/300.15 % E---3.1 exiting
% 408.26/300.15 % E---3.1 exiting
%------------------------------------------------------------------------------