TSTP Solution File: SET754+4 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET754+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n018.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 : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 00:53:46 EDT 2022
% Result : Theorem 0.23s 1.40s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 4 unt; 0 def)
% Number of atoms : 148 ( 4 equ)
% Maximal formula atoms : 55 ( 5 avg)
% Number of connectives : 181 ( 62 ~; 78 |; 31 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-4 aty)
% Number of variables : 98 ( 12 sgn 54 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
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/benchmark/Axioms/SET006+1.ax',inverse_image2) ).
fof(maps,axiom,
! [X6,X1,X2] :
( maps(X6,X1,X2)
<=> ( ! [X3] :
( member(X3,X1)
=> ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5) ) )
& ! [X3,X7,X8] :
( ( member(X3,X1)
& member(X7,X2)
& member(X8,X2) )
=> ( ( apply(X6,X3,X7)
& apply(X6,X3,X8) )
=> X7 = X8 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',maps) ).
fof(image2,axiom,
! [X6,X1,X5] :
( member(X5,image2(X6,X1))
<=> ? [X3] :
( member(X3,X1)
& apply(X6,X3,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',image2) ).
fof(thIIa04,conjecture,
! [X6,X1,X2,X11] :
( ( maps(X6,X1,X2)
& subset(X11,X1) )
=> subset(X11,inverse_image2(X6,image2(X6,X11))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thIIa04) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).
fof(c_0_5,plain,
! [X7,X8,X9,X7,X8,X9,X11] :
( ( member(esk6_3(X7,X8,X9),X8)
| ~ member(X9,inverse_image2(X7,X8)) )
& ( apply(X7,X9,esk6_3(X7,X8,X9))
| ~ member(X9,inverse_image2(X7,X8)) )
& ( ~ member(X11,X8)
| ~ apply(X7,X9,X11)
| member(X9,inverse_image2(X7,X8)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inverse_image2])])])])])])]) ).
fof(c_0_6,plain,
! [X9,X10,X11,X12,X14,X15,X16,X9,X10,X11,X18] :
( ( member(esk8_4(X9,X10,X11,X12),X11)
| ~ member(X12,X10)
| ~ maps(X9,X10,X11) )
& ( apply(X9,X12,esk8_4(X9,X10,X11,X12))
| ~ member(X12,X10)
| ~ maps(X9,X10,X11) )
& ( ~ member(X14,X10)
| ~ member(X15,X11)
| ~ member(X16,X11)
| ~ apply(X9,X14,X15)
| ~ apply(X9,X14,X16)
| X15 = X16
| ~ maps(X9,X10,X11) )
& ( member(esk10_3(X9,X10,X11),X10)
| member(esk9_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk11_3(X9,X10,X11),X11)
| member(esk9_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk12_3(X9,X10,X11),X11)
| member(esk9_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( apply(X9,esk10_3(X9,X10,X11),esk11_3(X9,X10,X11))
| member(esk9_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( apply(X9,esk10_3(X9,X10,X11),esk12_3(X9,X10,X11))
| member(esk9_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( esk11_3(X9,X10,X11) != esk12_3(X9,X10,X11)
| member(esk9_3(X9,X10,X11),X10)
| maps(X9,X10,X11) )
& ( member(esk10_3(X9,X10,X11),X10)
| ~ member(X18,X11)
| ~ apply(X9,esk9_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( member(esk11_3(X9,X10,X11),X11)
| ~ member(X18,X11)
| ~ apply(X9,esk9_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( member(esk12_3(X9,X10,X11),X11)
| ~ member(X18,X11)
| ~ apply(X9,esk9_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( apply(X9,esk10_3(X9,X10,X11),esk11_3(X9,X10,X11))
| ~ member(X18,X11)
| ~ apply(X9,esk9_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( apply(X9,esk10_3(X9,X10,X11),esk12_3(X9,X10,X11))
| ~ member(X18,X11)
| ~ apply(X9,esk9_3(X9,X10,X11),X18)
| maps(X9,X10,X11) )
& ( esk11_3(X9,X10,X11) != esk12_3(X9,X10,X11)
| ~ member(X18,X11)
| ~ apply(X9,esk9_3(X9,X10,X11),X18)
| maps(X9,X10,X11) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[maps])])])])])])]) ).
fof(c_0_7,plain,
! [X7,X8,X9,X7,X8,X9,X11] :
( ( member(esk7_3(X7,X8,X9),X8)
| ~ member(X9,image2(X7,X8)) )
& ( apply(X7,esk7_3(X7,X8,X9),X9)
| ~ member(X9,image2(X7,X8)) )
& ( ~ member(X11,X8)
| ~ apply(X7,X11,X9)
| member(X9,image2(X7,X8)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[image2])])])])])])]) ).
cnf(c_0_8,plain,
( member(X1,inverse_image2(X2,X3))
| ~ apply(X2,X1,X4)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( apply(X1,X4,esk8_4(X1,X2,X3,X4))
| ~ maps(X1,X2,X3)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( member(X1,image2(X2,X3))
| ~ apply(X2,X4,X1)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,negated_conjecture,
~ ! [X6,X1,X2,X11] :
( ( maps(X6,X1,X2)
& subset(X11,X1) )
=> subset(X11,inverse_image2(X6,image2(X6,X11))) ),
inference(assume_negation,[status(cth)],[thIIa04]) ).
cnf(c_0_12,plain,
( member(X1,inverse_image2(X2,X3))
| ~ maps(X2,X4,X5)
| ~ member(esk8_4(X2,X4,X5,X1),X3)
| ~ member(X1,X4) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( member(esk8_4(X1,X2,X3,X4),image2(X1,X5))
| ~ maps(X1,X2,X3)
| ~ member(X4,X5)
| ~ member(X4,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
fof(c_0_14,negated_conjecture,
( maps(esk1_0,esk2_0,esk3_0)
& subset(esk4_0,esk2_0)
& ~ subset(esk4_0,inverse_image2(esk1_0,image2(esk1_0,esk4_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_15,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ member(X6,X4)
| member(X6,X5) )
& ( member(esk5_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ member(esk5_2(X4,X5),X5)
| subset(X4,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subset])])])])])])]) ).
cnf(c_0_16,plain,
( member(X1,inverse_image2(X2,image2(X2,X3)))
| ~ maps(X2,X4,X5)
| ~ member(X1,X4)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
maps(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,negated_conjecture,
subset(esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
( subset(X1,X2)
| ~ member(esk5_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( member(X1,inverse_image2(esk1_0,image2(esk1_0,X2)))
| ~ member(X1,esk2_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( member(X1,esk2_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
( subset(X1,X2)
| member(esk5_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,negated_conjecture,
( subset(X1,inverse_image2(esk1_0,image2(esk1_0,X2)))
| ~ member(esk5_2(X1,inverse_image2(esk1_0,image2(esk1_0,X2))),esk2_0)
| ~ member(esk5_2(X1,inverse_image2(esk1_0,image2(esk1_0,X2))),X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( member(esk5_2(esk4_0,X1),esk2_0)
| subset(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( subset(esk4_0,inverse_image2(esk1_0,image2(esk1_0,X1)))
| ~ member(esk5_2(esk4_0,inverse_image2(esk1_0,image2(esk1_0,X1))),X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,negated_conjecture,
~ subset(esk4_0,inverse_image2(esk1_0,image2(esk1_0,esk4_0))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_23]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET754+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.00/0.12 % Command : run_ET %s %d
% 0.12/0.32 % Computer : n018.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 20:11:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.23/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.40 # Preprocessing time : 0.016 s
% 0.23/1.40
% 0.23/1.40 # Proof found!
% 0.23/1.40 # SZS status Theorem
% 0.23/1.40 # SZS output start CNFRefutation
% See solution above
% 0.23/1.40 # Proof object total steps : 29
% 0.23/1.40 # Proof object clause steps : 18
% 0.23/1.40 # Proof object formula steps : 11
% 0.23/1.40 # Proof object conjectures : 12
% 0.23/1.40 # Proof object clause conjectures : 9
% 0.23/1.40 # Proof object formula conjectures : 3
% 0.23/1.40 # Proof object initial clauses used : 9
% 0.23/1.40 # Proof object initial formulas used : 5
% 0.23/1.40 # Proof object generating inferences : 9
% 0.23/1.40 # Proof object simplifying inferences : 1
% 0.23/1.40 # Training examples: 0 positive, 0 negative
% 0.23/1.40 # Parsed axioms : 29
% 0.23/1.40 # Removed by relevancy pruning/SinE : 24
% 0.23/1.40 # Initial clauses : 27
% 0.23/1.40 # Removed in clause preprocessing : 0
% 0.23/1.40 # Initial clauses in saturation : 27
% 0.23/1.40 # Processed clauses : 103
% 0.23/1.40 # ...of these trivial : 0
% 0.23/1.40 # ...subsumed : 16
% 0.23/1.40 # ...remaining for further processing : 87
% 0.23/1.40 # Other redundant clauses eliminated : 0
% 0.23/1.40 # Clauses deleted for lack of memory : 0
% 0.23/1.40 # Backward-subsumed : 0
% 0.23/1.40 # Backward-rewritten : 0
% 0.23/1.40 # Generated clauses : 257
% 0.23/1.40 # ...of the previous two non-trivial : 249
% 0.23/1.40 # Contextual simplify-reflections : 6
% 0.23/1.40 # Paramodulations : 257
% 0.23/1.40 # Factorizations : 0
% 0.23/1.40 # Equation resolutions : 0
% 0.23/1.40 # Current number of processed clauses : 87
% 0.23/1.40 # Positive orientable unit clauses : 10
% 0.23/1.40 # Positive unorientable unit clauses: 0
% 0.23/1.40 # Negative unit clauses : 1
% 0.23/1.40 # Non-unit-clauses : 76
% 0.23/1.40 # Current number of unprocessed clauses: 173
% 0.23/1.40 # ...number of literals in the above : 744
% 0.23/1.40 # Current number of archived formulas : 0
% 0.23/1.40 # Current number of archived clauses : 0
% 0.23/1.40 # Clause-clause subsumption calls (NU) : 646
% 0.23/1.40 # Rec. Clause-clause subsumption calls : 477
% 0.23/1.40 # Non-unit clause-clause subsumptions : 22
% 0.23/1.40 # Unit Clause-clause subsumption calls : 13
% 0.23/1.40 # Rewrite failures with RHS unbound : 0
% 0.23/1.40 # BW rewrite match attempts : 5
% 0.23/1.40 # BW rewrite match successes : 0
% 0.23/1.40 # Condensation attempts : 0
% 0.23/1.40 # Condensation successes : 0
% 0.23/1.40 # Termbank termtop insertions : 7498
% 0.23/1.40
% 0.23/1.40 # -------------------------------------------------
% 0.23/1.40 # User time : 0.025 s
% 0.23/1.40 # System time : 0.003 s
% 0.23/1.40 # Total time : 0.028 s
% 0.23/1.40 # Maximum resident set size: 3316 pages
% 0.23/23.39 eprover: CPU time limit exceeded, terminating
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.41 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------