TSTP Solution File: SET624+3 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET624+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n024.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 19:23:10 EDT 2023
% Result : Theorem 0.12s 0.43s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 8 unt; 0 def)
% Number of atoms : 94 ( 3 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 93 ( 36 ~; 45 |; 7 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 67 ( 5 sgn; 27 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(intersect_defn,axiom,
! [X1,X2] :
( intersect(X1,X2)
<=> ? [X3] :
( member(X3,X1)
& member(X3,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.QAjMYjIb8R/E---3.1_4573.p',intersect_defn) ).
fof(union_defn,axiom,
! [X1,X2,X3] :
( member(X3,union(X1,X2))
<=> ( member(X3,X1)
| member(X3,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.QAjMYjIb8R/E---3.1_4573.p',union_defn) ).
fof(prove_intersect_with_union,conjecture,
! [X1,X2,X3] :
( intersect(X1,union(X2,X3))
<=> ( intersect(X1,X2)
| intersect(X1,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.QAjMYjIb8R/E---3.1_4573.p',prove_intersect_with_union) ).
fof(symmetry_of_intersect,axiom,
! [X1,X2] :
( intersect(X1,X2)
=> intersect(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.QAjMYjIb8R/E---3.1_4573.p',symmetry_of_intersect) ).
fof(commutativity_of_union,axiom,
! [X1,X2] : union(X1,X2) = union(X2,X1),
file('/export/starexec/sandbox2/tmp/tmp.QAjMYjIb8R/E---3.1_4573.p',commutativity_of_union) ).
fof(c_0_5,plain,
! [X7,X8,X10,X11,X12] :
( ( member(esk4_2(X7,X8),X7)
| ~ intersect(X7,X8) )
& ( member(esk4_2(X7,X8),X8)
| ~ intersect(X7,X8) )
& ( ~ member(X12,X10)
| ~ member(X12,X11)
| intersect(X10,X11) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[intersect_defn])])])])])]) ).
cnf(c_0_6,plain,
( intersect(X2,X3)
| ~ member(X1,X2)
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_7,plain,
( member(esk4_2(X1,X2),X2)
| ~ intersect(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X15,X16,X17] :
( ( ~ member(X17,union(X15,X16))
| member(X17,X15)
| member(X17,X16) )
& ( ~ member(X17,X15)
| member(X17,union(X15,X16)) )
& ( ~ member(X17,X16)
| member(X17,union(X15,X16)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[union_defn])])]) ).
cnf(c_0_9,plain,
( intersect(X1,X2)
| ~ intersect(X3,X2)
| ~ member(esk4_2(X3,X2),X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
( member(X1,union(X3,X2))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_11,negated_conjecture,
~ ! [X1,X2,X3] :
( intersect(X1,union(X2,X3))
<=> ( intersect(X1,X2)
| intersect(X1,X3) ) ),
inference(assume_negation,[status(cth)],[prove_intersect_with_union]) ).
fof(c_0_12,plain,
! [X13,X14] :
( ~ intersect(X13,X14)
| intersect(X14,X13) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_of_intersect])]) ).
cnf(c_0_13,plain,
( intersect(union(X1,X2),X3)
| ~ intersect(X4,X3)
| ~ member(esk4_2(X4,X3),X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( member(esk4_2(X1,X2),X1)
| ~ intersect(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_15,negated_conjecture,
( ( ~ intersect(esk1_0,esk2_0)
| ~ intersect(esk1_0,union(esk2_0,esk3_0)) )
& ( ~ intersect(esk1_0,esk3_0)
| ~ intersect(esk1_0,union(esk2_0,esk3_0)) )
& ( intersect(esk1_0,union(esk2_0,esk3_0))
| intersect(esk1_0,esk2_0)
| intersect(esk1_0,esk3_0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
cnf(c_0_16,plain,
( intersect(X2,X1)
| ~ intersect(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( intersect(union(X1,X2),X3)
| ~ intersect(X2,X3) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( ~ intersect(esk1_0,esk3_0)
| ~ intersect(esk1_0,union(esk2_0,esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,plain,
( intersect(X1,union(X2,X3))
| ~ intersect(X3,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,negated_conjecture,
( intersect(esk1_0,union(esk2_0,esk3_0))
| intersect(esk1_0,esk2_0)
| intersect(esk1_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
~ intersect(esk1_0,esk3_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_16]) ).
cnf(c_0_23,plain,
( member(esk4_2(X1,union(X2,X3)),X2)
| member(esk4_2(X1,union(X2,X3)),X3)
| ~ intersect(X1,union(X2,X3)) ),
inference(spm,[status(thm)],[c_0_20,c_0_7]) ).
cnf(c_0_24,negated_conjecture,
( intersect(esk1_0,union(esk2_0,esk3_0))
| intersect(esk1_0,esk2_0) ),
inference(sr,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,plain,
( intersect(X1,X2)
| ~ intersect(X2,X3)
| ~ member(esk4_2(X2,X3),X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_14]) ).
cnf(c_0_26,negated_conjecture,
( intersect(esk1_0,esk2_0)
| member(esk4_2(esk1_0,union(esk2_0,esk3_0)),esk3_0)
| member(esk4_2(esk1_0,union(esk2_0,esk3_0)),esk2_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
( intersect(esk1_0,esk2_0)
| intersect(esk3_0,esk1_0)
| member(esk4_2(esk1_0,union(esk2_0,esk3_0)),esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_24]) ).
cnf(c_0_28,negated_conjecture,
( intersect(esk3_0,esk1_0)
| intersect(esk2_0,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_27]),c_0_24]),c_0_16]) ).
cnf(c_0_29,negated_conjecture,
intersect(esk2_0,esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_28]),c_0_22]) ).
fof(c_0_30,plain,
! [X18,X19] : union(X18,X19) = union(X19,X18),
inference(variable_rename,[status(thm)],[commutativity_of_union]) ).
cnf(c_0_31,negated_conjecture,
( ~ intersect(esk1_0,esk2_0)
| ~ intersect(esk1_0,union(esk2_0,esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_32,negated_conjecture,
intersect(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_16,c_0_29]) ).
cnf(c_0_33,plain,
union(X1,X2) = union(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,negated_conjecture,
~ intersect(esk1_0,union(esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]) ).
cnf(c_0_35,plain,
( intersect(X1,union(X2,X3))
| ~ intersect(X2,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08 % Problem : SET624+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.09 % Command : run_E %s %d THM
% 0.08/0.27 % Computer : n024.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 2400
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Mon Oct 2 17:25:27 EDT 2023
% 0.08/0.28 % CPUTime :
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.QAjMYjIb8R/E---3.1_4573.p
% 0.12/0.43 # Version: 3.1pre001
% 0.12/0.43 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.12/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.43 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.12/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.12/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.12/0.43 # Starting sh5l with 300s (1) cores
% 0.12/0.43 # new_bool_1 with pid 4709 completed with status 0
% 0.12/0.43 # Result found by new_bool_1
% 0.12/0.43 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.12/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.43 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.12/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.12/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.12/0.43 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.43 # Search class: FGHSF-FFSF22-SFFFFFNN
% 0.12/0.43 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.43 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.12/0.43 # SAT001_MinMin_p005000_rr_RG with pid 4716 completed with status 0
% 0.12/0.43 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.12/0.43 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.12/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.43 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.12/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.12/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.12/0.43 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.43 # Search class: FGHSF-FFSF22-SFFFFFNN
% 0.12/0.43 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.43 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.12/0.43 # Preprocessing time : 0.001 s
% 0.12/0.43 # Presaturation interreduction done
% 0.12/0.43
% 0.12/0.43 # Proof found!
% 0.12/0.43 # SZS status Theorem
% 0.12/0.43 # SZS output start CNFRefutation
% See solution above
% 0.12/0.43 # Parsed axioms : 6
% 0.12/0.43 # Removed by relevancy pruning/SinE : 0
% 0.12/0.43 # Initial clauses : 15
% 0.12/0.43 # Removed in clause preprocessing : 2
% 0.12/0.43 # Initial clauses in saturation : 13
% 0.12/0.43 # Processed clauses : 238
% 0.12/0.43 # ...of these trivial : 60
% 0.12/0.43 # ...subsumed : 66
% 0.12/0.43 # ...remaining for further processing : 112
% 0.12/0.43 # Other redundant clauses eliminated : 0
% 0.12/0.43 # Clauses deleted for lack of memory : 0
% 0.12/0.43 # Backward-subsumed : 2
% 0.12/0.43 # Backward-rewritten : 15
% 0.12/0.43 # Generated clauses : 824
% 0.12/0.43 # ...of the previous two non-redundant : 579
% 0.12/0.43 # ...aggressively subsumed : 0
% 0.12/0.43 # Contextual simplify-reflections : 6
% 0.12/0.43 # Paramodulations : 807
% 0.12/0.43 # Factorizations : 14
% 0.12/0.43 # NegExts : 0
% 0.12/0.43 # Equation resolutions : 0
% 0.12/0.43 # Total rewrite steps : 298
% 0.12/0.43 # Propositional unsat checks : 0
% 0.12/0.43 # Propositional check models : 0
% 0.12/0.43 # Propositional check unsatisfiable : 0
% 0.12/0.43 # Propositional clauses : 0
% 0.12/0.43 # Propositional clauses after purity: 0
% 0.12/0.43 # Propositional unsat core size : 0
% 0.12/0.43 # Propositional preprocessing time : 0.000
% 0.12/0.43 # Propositional encoding time : 0.000
% 0.12/0.43 # Propositional solver time : 0.000
% 0.12/0.43 # Success case prop preproc time : 0.000
% 0.12/0.43 # Success case prop encoding time : 0.000
% 0.12/0.43 # Success case prop solver time : 0.000
% 0.12/0.43 # Current number of processed clauses : 79
% 0.12/0.43 # Positive orientable unit clauses : 31
% 0.12/0.43 # Positive unorientable unit clauses: 1
% 0.12/0.43 # Negative unit clauses : 3
% 0.12/0.43 # Non-unit-clauses : 44
% 0.12/0.43 # Current number of unprocessed clauses: 355
% 0.12/0.43 # ...number of literals in the above : 964
% 0.12/0.43 # Current number of archived formulas : 0
% 0.12/0.43 # Current number of archived clauses : 33
% 0.12/0.43 # Clause-clause subsumption calls (NU) : 927
% 0.12/0.43 # Rec. Clause-clause subsumption calls : 856
% 0.12/0.43 # Non-unit clause-clause subsumptions : 72
% 0.12/0.43 # Unit Clause-clause subsumption calls : 41
% 0.12/0.43 # Rewrite failures with RHS unbound : 0
% 0.12/0.43 # BW rewrite match attempts : 7
% 0.12/0.43 # BW rewrite match successes : 7
% 0.12/0.43 # Condensation attempts : 0
% 0.12/0.43 # Condensation successes : 0
% 0.12/0.43 # Termbank termtop insertions : 9938
% 0.12/0.43
% 0.12/0.43 # -------------------------------------------------
% 0.12/0.43 # User time : 0.014 s
% 0.12/0.43 # System time : 0.005 s
% 0.12/0.43 # Total time : 0.019 s
% 0.12/0.43 # Maximum resident set size: 1744 pages
% 0.12/0.43
% 0.12/0.43 # -------------------------------------------------
% 0.12/0.43 # User time : 0.015 s
% 0.12/0.43 # System time : 0.008 s
% 0.12/0.43 # Total time : 0.023 s
% 0.12/0.43 # Maximum resident set size: 1676 pages
% 0.12/0.43 % E---3.1 exiting
%------------------------------------------------------------------------------