TSTP Solution File: SET755+4 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET755+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 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 19:20:27 EDT 2023
% Result : Theorem 0.15s 0.43s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 4 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 67 ( 24 ~; 23 |; 15 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 59 ( 0 sgn; 28 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIIa05,conjecture,
! [X6,X1,X2,X3,X5] :
( ( maps(X6,X1,X2)
& subset(X3,X2)
& subset(X5,X2)
& subset(X3,X5) )
=> subset(inverse_image2(X6,X3),inverse_image2(X6,X5)) ),
file('/export/starexec/sandbox/tmp/tmp.CM3i3cLPrm/E---3.1_16940.p',thIIa05) ).
fof(inverse_image2,axiom,
! [X6,X2,X3] :
( member(X3,inverse_image2(X6,X2))
<=> ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5) ) ),
file('/export/starexec/sandbox/tmp/tmp.CM3i3cLPrm/E---3.1_16940.p',inverse_image2) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.CM3i3cLPrm/E---3.1_16940.p',subset) ).
fof(c_0_3,negated_conjecture,
~ ! [X6,X1,X2,X3,X5] :
( ( maps(X6,X1,X2)
& subset(X3,X2)
& subset(X5,X2)
& subset(X3,X5) )
=> subset(inverse_image2(X6,X3),inverse_image2(X6,X5)) ),
inference(assume_negation,[status(cth)],[thIIa05]) ).
fof(c_0_4,plain,
! [X28,X29,X30,X32,X33,X34,X35] :
( ( member(esk7_3(X28,X29,X30),X29)
| ~ member(X30,inverse_image2(X28,X29)) )
& ( apply(X28,X30,esk7_3(X28,X29,X30))
| ~ member(X30,inverse_image2(X28,X29)) )
& ( ~ member(X35,X33)
| ~ apply(X32,X34,X35)
| member(X34,inverse_image2(X32,X33)) ) ),
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)],[inverse_image2])])])])])]) ).
fof(c_0_5,plain,
! [X22,X23,X24,X25,X26] :
( ( ~ subset(X22,X23)
| ~ member(X24,X22)
| member(X24,X23) )
& ( member(esk6_2(X25,X26),X25)
| subset(X25,X26) )
& ( ~ member(esk6_2(X25,X26),X26)
| subset(X25,X26) ) ),
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_6,negated_conjecture,
( maps(esk1_0,esk2_0,esk3_0)
& subset(esk4_0,esk3_0)
& subset(esk5_0,esk3_0)
& subset(esk4_0,esk5_0)
& ~ subset(inverse_image2(esk1_0,esk4_0),inverse_image2(esk1_0,esk5_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_7,plain,
( member(X4,inverse_image2(X3,X2))
| ~ member(X1,X2)
| ~ apply(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( apply(X1,X2,esk7_3(X1,X3,X2))
| ~ member(X2,inverse_image2(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
subset(esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( member(X1,inverse_image2(X2,X3))
| ~ member(esk7_3(X2,X4,X1),X3)
| ~ member(X1,inverse_image2(X2,X4)) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
( member(X1,esk5_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( member(X1,inverse_image2(X2,esk5_0))
| ~ member(esk7_3(X2,X3,X1),esk4_0)
| ~ member(X1,inverse_image2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,plain,
( member(esk7_3(X1,X2,X3),X2)
| ~ member(X3,inverse_image2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,plain,
( subset(X1,X2)
| ~ member(esk6_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,negated_conjecture,
( member(X1,inverse_image2(X2,esk5_0))
| ~ member(X1,inverse_image2(X2,esk4_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
( subset(X1,inverse_image2(X2,esk5_0))
| ~ member(esk6_2(X1,inverse_image2(X2,esk5_0)),inverse_image2(X2,esk4_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,plain,
( member(esk6_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,negated_conjecture,
~ subset(inverse_image2(esk1_0,esk4_0),inverse_image2(esk1_0,esk5_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,negated_conjecture,
subset(inverse_image2(X1,esk4_0),inverse_image2(X1,esk5_0)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET755+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.10/0.10 % 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
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Oct 2 16:41:43 EDT 2023
% 0.15/0.30 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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.CM3i3cLPrm/E---3.1_16940.p
% 0.15/0.43 # Version: 3.1pre001
% 0.15/0.43 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 # Starting sh5l with 300s (1) cores
% 0.15/0.43 # new_bool_3 with pid 17019 completed with status 0
% 0.15/0.43 # Result found by new_bool_3
% 0.15/0.43 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.43 # Search class: FGUSF-FFMS32-SFFFFFNN
% 0.15/0.43 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 181s (1) cores
% 0.15/0.43 # G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with pid 17023 completed with status 0
% 0.15/0.43 # Result found by G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y
% 0.15/0.43 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.43 # Search class: FGUSF-FFMS32-SFFFFFNN
% 0.15/0.43 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 181s (1) cores
% 0.15/0.43 # Preprocessing time : 0.002 s
% 0.15/0.43 # Presaturation interreduction done
% 0.15/0.43
% 0.15/0.43 # Proof found!
% 0.15/0.43 # SZS status Theorem
% 0.15/0.43 # SZS output start CNFRefutation
% See solution above
% 0.15/0.43 # Parsed axioms : 29
% 0.15/0.43 # Removed by relevancy pruning/SinE : 25
% 0.15/0.43 # Initial clauses : 26
% 0.15/0.43 # Removed in clause preprocessing : 0
% 0.15/0.43 # Initial clauses in saturation : 26
% 0.15/0.43 # Processed clauses : 93
% 0.15/0.43 # ...of these trivial : 0
% 0.15/0.43 # ...subsumed : 5
% 0.15/0.43 # ...remaining for further processing : 88
% 0.15/0.43 # Other redundant clauses eliminated : 0
% 0.15/0.43 # Clauses deleted for lack of memory : 0
% 0.15/0.43 # Backward-subsumed : 0
% 0.15/0.43 # Backward-rewritten : 1
% 0.15/0.43 # Generated clauses : 96
% 0.15/0.43 # ...of the previous two non-redundant : 90
% 0.15/0.43 # ...aggressively subsumed : 0
% 0.15/0.43 # Contextual simplify-reflections : 0
% 0.15/0.43 # Paramodulations : 96
% 0.15/0.43 # Factorizations : 0
% 0.15/0.43 # NegExts : 0
% 0.15/0.43 # Equation resolutions : 0
% 0.15/0.43 # Total rewrite steps : 4
% 0.15/0.43 # Propositional unsat checks : 0
% 0.15/0.43 # Propositional check models : 0
% 0.15/0.43 # Propositional check unsatisfiable : 0
% 0.15/0.43 # Propositional clauses : 0
% 0.15/0.43 # Propositional clauses after purity: 0
% 0.15/0.43 # Propositional unsat core size : 0
% 0.15/0.43 # Propositional preprocessing time : 0.000
% 0.15/0.43 # Propositional encoding time : 0.000
% 0.15/0.43 # Propositional solver time : 0.000
% 0.15/0.43 # Success case prop preproc time : 0.000
% 0.15/0.43 # Success case prop encoding time : 0.000
% 0.15/0.43 # Success case prop solver time : 0.000
% 0.15/0.43 # Current number of processed clauses : 61
% 0.15/0.43 # Positive orientable unit clauses : 9
% 0.15/0.43 # Positive unorientable unit clauses: 0
% 0.15/0.43 # Negative unit clauses : 0
% 0.15/0.43 # Non-unit-clauses : 52
% 0.15/0.43 # Current number of unprocessed clauses: 49
% 0.15/0.43 # ...number of literals in the above : 185
% 0.15/0.43 # Current number of archived formulas : 0
% 0.15/0.43 # Current number of archived clauses : 27
% 0.15/0.43 # Clause-clause subsumption calls (NU) : 248
% 0.15/0.43 # Rec. Clause-clause subsumption calls : 168
% 0.15/0.43 # Non-unit clause-clause subsumptions : 5
% 0.15/0.43 # Unit Clause-clause subsumption calls : 27
% 0.15/0.43 # Rewrite failures with RHS unbound : 0
% 0.15/0.43 # BW rewrite match attempts : 7
% 0.15/0.43 # BW rewrite match successes : 1
% 0.15/0.43 # Condensation attempts : 0
% 0.15/0.43 # Condensation successes : 0
% 0.15/0.43 # Termbank termtop insertions : 3930
% 0.15/0.43
% 0.15/0.43 # -------------------------------------------------
% 0.15/0.43 # User time : 0.007 s
% 0.15/0.43 # System time : 0.002 s
% 0.15/0.43 # Total time : 0.010 s
% 0.15/0.43 # Maximum resident set size: 1888 pages
% 0.15/0.43
% 0.15/0.43 # -------------------------------------------------
% 0.15/0.43 # User time : 0.010 s
% 0.15/0.43 # System time : 0.003 s
% 0.15/0.43 # Total time : 0.013 s
% 0.15/0.43 # Maximum resident set size: 1744 pages
% 0.15/0.43 % E---3.1 exiting
% 0.15/0.43 % E---3.1 exiting
%------------------------------------------------------------------------------