TSTP Solution File: SET014+4 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET014+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 19:17:54 EDT 2023
% Result : Theorem 0.18s 0.47s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 33 ( 3 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 100 ( 42 ~; 45 |; 8 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 4 sgn; 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thI45,conjecture,
! [X1,X3,X5] :
( ( subset(X3,X1)
& subset(X5,X1) )
<=> subset(union(X3,X5),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.u950sURe1l/E---3.1_31738.p',thI45) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.u950sURe1l/E---3.1_31738.p',subset) ).
fof(union,axiom,
! [X3,X1,X2] :
( member(X3,union(X1,X2))
<=> ( member(X3,X1)
| member(X3,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.u950sURe1l/E---3.1_31738.p',union) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X3,X5] :
( ( subset(X3,X1)
& subset(X5,X1) )
<=> subset(union(X3,X5),X1) ),
inference(assume_negation,[status(cth)],[thI45]) ).
fof(c_0_4,plain,
! [X6,X7,X8,X9,X10] :
( ( ~ subset(X6,X7)
| ~ member(X8,X6)
| member(X8,X7) )
& ( member(esk1_2(X9,X10),X9)
| subset(X9,X10) )
& ( ~ member(esk1_2(X9,X10),X10)
| subset(X9,X10) ) ),
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)],[subset])])])])])]) ).
fof(c_0_5,plain,
! [X19,X20,X21] :
( ( ~ member(X19,union(X20,X21))
| member(X19,X20)
| member(X19,X21) )
& ( ~ member(X19,X20)
| member(X19,union(X20,X21)) )
& ( ~ member(X19,X21)
| member(X19,union(X20,X21)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[union])])]) ).
fof(c_0_6,negated_conjecture,
( ( ~ subset(esk5_0,esk4_0)
| ~ subset(esk6_0,esk4_0)
| ~ subset(union(esk5_0,esk6_0),esk4_0) )
& ( subset(esk5_0,esk4_0)
| subset(union(esk5_0,esk6_0),esk4_0) )
& ( subset(esk6_0,esk4_0)
| subset(union(esk5_0,esk6_0),esk4_0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
cnf(c_0_7,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( member(X1,union(X3,X2))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
( ~ subset(esk5_0,esk4_0)
| ~ subset(esk6_0,esk4_0)
| ~ subset(union(esk5_0,esk6_0),esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( member(esk1_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(union(X4,X3),X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
( subset(esk6_0,esk4_0)
| subset(union(esk5_0,esk6_0),esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
( member(esk1_2(union(esk5_0,esk6_0),esk4_0),union(esk5_0,esk6_0))
| ~ subset(esk5_0,esk4_0)
| ~ subset(esk6_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,negated_conjecture,
( member(X1,esk4_0)
| ~ member(X1,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_7]) ).
cnf(c_0_17,negated_conjecture,
( member(esk1_2(union(esk5_0,esk6_0),esk4_0),esk5_0)
| member(esk1_2(union(esk5_0,esk6_0),esk4_0),esk6_0)
| ~ subset(esk5_0,esk4_0)
| ~ subset(esk6_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( ~ member(esk1_2(union(esk5_0,esk6_0),esk4_0),esk4_0)
| ~ subset(esk5_0,esk4_0)
| ~ subset(esk6_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( ~ subset(esk5_0,esk4_0)
| ~ subset(esk6_0,esk4_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_7]),c_0_18]) ).
cnf(c_0_20,negated_conjecture,
( member(esk1_2(esk6_0,esk4_0),esk6_0)
| ~ subset(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_10]) ).
cnf(c_0_21,negated_conjecture,
( ~ member(esk1_2(esk6_0,esk4_0),esk4_0)
| ~ subset(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_15]) ).
cnf(c_0_22,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_23,negated_conjecture,
( member(esk1_2(esk6_0,esk4_0),esk6_0)
| ~ member(esk1_2(esk5_0,esk4_0),esk4_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_15]) ).
cnf(c_0_24,negated_conjecture,
( ~ member(esk1_2(esk6_0,esk4_0),esk4_0)
| ~ member(esk1_2(esk5_0,esk4_0),esk4_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_15]) ).
cnf(c_0_25,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(union(X3,X4),X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( subset(esk5_0,esk4_0)
| subset(union(esk5_0,esk6_0),esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_27,negated_conjecture,
( member(esk1_2(esk5_0,esk4_0),esk5_0)
| member(esk1_2(esk6_0,esk4_0),esk6_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_10]) ).
cnf(c_0_28,negated_conjecture,
( member(esk1_2(esk5_0,esk4_0),esk5_0)
| ~ member(esk1_2(esk6_0,esk4_0),esk4_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_10]) ).
cnf(c_0_29,negated_conjecture,
~ member(esk1_2(esk5_0,esk4_0),esk4_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_23]),c_0_24]) ).
cnf(c_0_30,negated_conjecture,
( member(X1,esk4_0)
| ~ member(X1,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_7]) ).
cnf(c_0_31,negated_conjecture,
member(esk1_2(esk5_0,esk4_0),esk5_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_27]),c_0_28]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET014+4 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n019.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 : 2400
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Oct 2 17:57:51 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 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.u950sURe1l/E---3.1_31738.p
% 0.18/0.47 # Version: 3.1pre001
% 0.18/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.47 # Starting sh5l with 300s (1) cores
% 0.18/0.47 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 31816 completed with status 0
% 0.18/0.47 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.18/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.47 # No SInE strategy applied
% 0.18/0.47 # Search class: FGHSF-FFMF21-SFFFFFNN
% 0.18/0.47 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.47 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 811s (1) cores
% 0.18/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.18/0.47 # Starting new_bool_3 with 136s (1) cores
% 0.18/0.47 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S033N with 136s (1) cores
% 0.18/0.47 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S05BI with 136s (1) cores
% 0.18/0.47 # G-E--_208_B00_00_F1_SE_CS_SP_PS_S033N with pid 31826 completed with status 0
% 0.18/0.47 # Result found by G-E--_208_B00_00_F1_SE_CS_SP_PS_S033N
% 0.18/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.47 # No SInE strategy applied
% 0.18/0.47 # Search class: FGHSF-FFMF21-SFFFFFNN
% 0.18/0.47 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.47 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 811s (1) cores
% 0.18/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.18/0.47 # Starting new_bool_3 with 136s (1) cores
% 0.18/0.47 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S033N with 136s (1) cores
% 0.18/0.47 # Preprocessing time : 0.001 s
% 0.18/0.47 # Presaturation interreduction done
% 0.18/0.47
% 0.18/0.47 # Proof found!
% 0.18/0.47 # SZS status Theorem
% 0.18/0.47 # SZS output start CNFRefutation
% See solution above
% 0.18/0.47 # Parsed axioms : 12
% 0.18/0.47 # Removed by relevancy pruning/SinE : 0
% 0.18/0.47 # Initial clauses : 32
% 0.18/0.47 # Removed in clause preprocessing : 0
% 0.18/0.47 # Initial clauses in saturation : 32
% 0.18/0.47 # Processed clauses : 158
% 0.18/0.47 # ...of these trivial : 0
% 0.18/0.47 # ...subsumed : 19
% 0.18/0.47 # ...remaining for further processing : 139
% 0.18/0.47 # Other redundant clauses eliminated : 3
% 0.18/0.47 # Clauses deleted for lack of memory : 0
% 0.18/0.47 # Backward-subsumed : 14
% 0.18/0.47 # Backward-rewritten : 2
% 0.18/0.47 # Generated clauses : 403
% 0.18/0.47 # ...of the previous two non-redundant : 283
% 0.18/0.47 # ...aggressively subsumed : 0
% 0.18/0.47 # Contextual simplify-reflections : 6
% 0.18/0.47 # Paramodulations : 400
% 0.18/0.47 # Factorizations : 0
% 0.18/0.47 # NegExts : 0
% 0.18/0.47 # Equation resolutions : 3
% 0.18/0.47 # Total rewrite steps : 105
% 0.18/0.47 # Propositional unsat checks : 0
% 0.18/0.47 # Propositional check models : 0
% 0.18/0.47 # Propositional check unsatisfiable : 0
% 0.18/0.47 # Propositional clauses : 0
% 0.18/0.47 # Propositional clauses after purity: 0
% 0.18/0.47 # Propositional unsat core size : 0
% 0.18/0.47 # Propositional preprocessing time : 0.000
% 0.18/0.47 # Propositional encoding time : 0.000
% 0.18/0.47 # Propositional solver time : 0.000
% 0.18/0.47 # Success case prop preproc time : 0.000
% 0.18/0.47 # Success case prop encoding time : 0.000
% 0.18/0.47 # Success case prop solver time : 0.000
% 0.18/0.47 # Current number of processed clauses : 88
% 0.18/0.47 # Positive orientable unit clauses : 14
% 0.18/0.47 # Positive unorientable unit clauses: 0
% 0.18/0.47 # Negative unit clauses : 2
% 0.18/0.47 # Non-unit-clauses : 72
% 0.18/0.47 # Current number of unprocessed clauses: 182
% 0.18/0.47 # ...number of literals in the above : 484
% 0.18/0.47 # Current number of archived formulas : 0
% 0.18/0.47 # Current number of archived clauses : 48
% 0.18/0.47 # Clause-clause subsumption calls (NU) : 2715
% 0.18/0.47 # Rec. Clause-clause subsumption calls : 1835
% 0.18/0.47 # Non-unit clause-clause subsumptions : 35
% 0.18/0.47 # Unit Clause-clause subsumption calls : 21
% 0.18/0.47 # Rewrite failures with RHS unbound : 0
% 0.18/0.47 # BW rewrite match attempts : 5
% 0.18/0.47 # BW rewrite match successes : 1
% 0.18/0.47 # Condensation attempts : 0
% 0.18/0.47 # Condensation successes : 0
% 0.18/0.47 # Termbank termtop insertions : 6696
% 0.18/0.47
% 0.18/0.47 # -------------------------------------------------
% 0.18/0.47 # User time : 0.010 s
% 0.18/0.47 # System time : 0.002 s
% 0.18/0.47 # Total time : 0.012 s
% 0.18/0.47 # Maximum resident set size: 1776 pages
% 0.18/0.47
% 0.18/0.47 # -------------------------------------------------
% 0.18/0.47 # User time : 0.044 s
% 0.18/0.47 # System time : 0.007 s
% 0.18/0.47 # Total time : 0.050 s
% 0.18/0.47 # Maximum resident set size: 1684 pages
% 0.18/0.47 % E---3.1 exiting
% 0.18/0.47 % E---3.1 exiting
%------------------------------------------------------------------------------