TSTP Solution File: SET731+4 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET731+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n025.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 00:53:27 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 3 unt; 0 def)
% Number of atoms : 93 ( 4 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 112 ( 42 ~; 41 |; 20 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 75 ( 6 sgn 38 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thII22,conjecture,
! [X6,X10,X1,X2,X11] :
( ( maps(X6,X1,X2)
& subset(X11,X2)
& image2(X6,X1) = X11
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X11) )
=> ( apply(X10,X3,X5)
<=> apply(X6,X3,X5) ) ) )
=> surjective(X10,X1,X11) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thII22) ).
fof(image2,axiom,
! [X6,X1,X5] :
( member(X5,image2(X6,X1))
<=> ? [X3] :
( member(X3,X1)
& apply(X6,X3,X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',image2) ).
fof(surjective,axiom,
! [X6,X1,X2] :
( surjective(X6,X1,X2)
<=> ! [X5] :
( member(X5,X2)
=> ? [X4] :
( member(X4,X1)
& apply(X6,X4,X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',surjective) ).
fof(c_0_3,negated_conjecture,
~ ! [X6,X10,X1,X2,X11] :
( ( maps(X6,X1,X2)
& subset(X11,X2)
& image2(X6,X1) = X11
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X11) )
=> ( apply(X10,X3,X5)
<=> apply(X6,X3,X5) ) ) )
=> surjective(X10,X1,X11) ),
inference(assume_negation,[status(cth)],[thII22]) ).
fof(c_0_4,negated_conjecture,
! [X17,X18] :
( maps(esk1_0,esk3_0,esk4_0)
& subset(esk5_0,esk4_0)
& image2(esk1_0,esk3_0) = esk5_0
& ( ~ apply(esk2_0,X17,X18)
| apply(esk1_0,X17,X18)
| ~ member(X17,esk3_0)
| ~ member(X18,esk5_0) )
& ( ~ apply(esk1_0,X17,X18)
| apply(esk2_0,X17,X18)
| ~ member(X17,esk3_0)
| ~ member(X18,esk5_0) )
& ~ surjective(esk2_0,esk3_0,esk5_0) ),
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)],[c_0_3])])])])])])]) ).
fof(c_0_5,plain,
! [X7,X8,X9,X7,X8,X9,X11] :
( ( member(esk8_3(X7,X8,X9),X8)
| ~ member(X9,image2(X7,X8)) )
& ( apply(X7,esk8_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_6,negated_conjecture,
( apply(esk2_0,X2,X1)
| ~ member(X1,esk5_0)
| ~ member(X2,esk3_0)
| ~ apply(esk1_0,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( apply(X2,esk8_3(X2,X3,X1),X1)
| ~ member(X1,image2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X7,X8,X9,X10,X7,X8,X9,X13] :
( ( member(esk6_4(X7,X8,X9,X10),X8)
| ~ member(X10,X9)
| ~ surjective(X7,X8,X9) )
& ( apply(X7,esk6_4(X7,X8,X9,X10),X10)
| ~ member(X10,X9)
| ~ surjective(X7,X8,X9) )
& ( member(esk7_3(X7,X8,X9),X9)
| surjective(X7,X8,X9) )
& ( ~ member(X13,X8)
| ~ apply(X7,X13,esk7_3(X7,X8,X9))
| surjective(X7,X8,X9) ) ),
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)],[surjective])])])])])])]) ).
cnf(c_0_9,plain,
( member(X1,image2(X2,X3))
| ~ apply(X2,X4,X1)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
( apply(esk2_0,esk8_3(esk1_0,X1,X2),X2)
| ~ member(esk8_3(esk1_0,X1,X2),esk3_0)
| ~ member(X2,image2(esk1_0,X1))
| ~ member(X2,esk5_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,plain,
( surjective(X1,X2,X3)
| ~ apply(X1,X4,esk7_3(X1,X2,X3))
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
( member(X1,image2(esk2_0,X2))
| ~ member(esk8_3(esk1_0,X3,X1),esk3_0)
| ~ member(esk8_3(esk1_0,X3,X1),X2)
| ~ member(X1,image2(esk1_0,X3))
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( member(esk8_3(X2,X3,X1),X3)
| ~ member(X1,image2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
image2(esk1_0,esk3_0) = esk5_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,plain,
( surjective(X1,X2,X3)
| ~ member(esk8_3(X1,X4,esk7_3(X1,X2,X3)),X2)
| ~ member(esk7_3(X1,X2,X3),image2(X1,X4)) ),
inference(spm,[status(thm)],[c_0_11,c_0_7]) ).
cnf(c_0_16,negated_conjecture,
( member(X1,image2(esk2_0,X2))
| ~ member(esk8_3(esk1_0,esk3_0,X1),X2)
| ~ member(X1,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_17,plain,
( surjective(X1,X2,X3)
| ~ member(esk7_3(X1,X2,X3),image2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_15,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
( member(X1,image2(esk2_0,esk3_0))
| ~ member(X1,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_13]),c_0_14])]) ).
cnf(c_0_19,negated_conjecture,
( surjective(esk2_0,esk3_0,X1)
| ~ member(esk7_3(esk2_0,esk3_0,X1),esk5_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,plain,
( surjective(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,negated_conjecture,
~ surjective(esk2_0,esk3_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET731+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.11/0.12 % Command : run_ET %s %d
% 0.11/0.33 % Computer : n025.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sun Jul 10 22:29:47 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40 # Preprocessing time : 0.017 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.40 # Proof object total steps : 23
% 0.22/1.40 # Proof object clause steps : 16
% 0.22/1.40 # Proof object formula steps : 7
% 0.22/1.40 # Proof object conjectures : 12
% 0.22/1.40 # Proof object clause conjectures : 9
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 8
% 0.22/1.40 # Proof object initial formulas used : 3
% 0.22/1.40 # Proof object generating inferences : 8
% 0.22/1.40 # Proof object simplifying inferences : 5
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 29
% 0.22/1.40 # Removed by relevancy pruning/SinE : 24
% 0.22/1.40 # Initial clauses : 31
% 0.22/1.40 # Removed in clause preprocessing : 0
% 0.22/1.40 # Initial clauses in saturation : 31
% 0.22/1.40 # Processed clauses : 61
% 0.22/1.40 # ...of these trivial : 0
% 0.22/1.40 # ...subsumed : 0
% 0.22/1.40 # ...remaining for further processing : 61
% 0.22/1.40 # Other redundant clauses eliminated : 0
% 0.22/1.40 # Clauses deleted for lack of memory : 0
% 0.22/1.40 # Backward-subsumed : 0
% 0.22/1.40 # Backward-rewritten : 0
% 0.22/1.40 # Generated clauses : 99
% 0.22/1.40 # ...of the previous two non-trivial : 92
% 0.22/1.40 # Contextual simplify-reflections : 0
% 0.22/1.40 # Paramodulations : 99
% 0.22/1.40 # Factorizations : 0
% 0.22/1.40 # Equation resolutions : 0
% 0.22/1.40 # Current number of processed clauses : 61
% 0.22/1.40 # Positive orientable unit clauses : 7
% 0.22/1.40 # Positive unorientable unit clauses: 0
% 0.22/1.40 # Negative unit clauses : 1
% 0.22/1.40 # Non-unit-clauses : 53
% 0.22/1.40 # Current number of unprocessed clauses: 62
% 0.22/1.40 # ...number of literals in the above : 366
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 0
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 328
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 148
% 0.22/1.40 # Non-unit clause-clause subsumptions : 0
% 0.22/1.40 # Unit Clause-clause subsumption calls : 2
% 0.22/1.40 # Rewrite failures with RHS unbound : 0
% 0.22/1.40 # BW rewrite match attempts : 14
% 0.22/1.40 # BW rewrite match successes : 0
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 4772
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.020 s
% 0.22/1.40 # System time : 0.005 s
% 0.22/1.40 # Total time : 0.025 s
% 0.22/1.40 # Maximum resident set size: 3068 pages
% 0.22/23.39 eprover: CPU time limit exceeded, terminating
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.41 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------