TSTP Solution File: SEU451+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU451+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n004.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 09:20:27 EDT 2022
% Result : Theorem 0.23s 1.40s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 10 unt; 0 def)
% Number of atoms : 73 ( 24 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 67 ( 29 ~; 23 |; 8 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-6 aty)
% Number of variables : 89 ( 8 sgn 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t65_relset_2,conjecture,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> k9_relset_2(X1,X1,X2,k6_partfun1(X1),X3) = k9_relset_2(X1,X2,X2,X3,k6_partfun1(X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t65_relset_2) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m2_relset_1) ).
fof(dt_k6_partfun1,axiom,
! [X1] :
( v1_partfun1(k6_partfun1(X1),X1,X1)
& m2_relset_1(k6_partfun1(X1),X1,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k6_partfun1) ).
fof(t23_funct_2,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> ( k7_relset_1(X1,X1,X1,X2,k6_partfun1(X1),X3) = X3
& k7_relset_1(X1,X2,X2,X2,X3,k6_partfun1(X2)) = X3 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t23_funct_2) ).
fof(redefinition_k7_relset_1,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( m1_relset_1(X5,X1,X2)
& m1_relset_1(X6,X3,X4) )
=> k7_relset_1(X1,X2,X3,X4,X5,X6) = k5_relat_1(X5,X6) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k7_relset_1) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m2_relset_1) ).
fof(redefinition_k9_relset_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) )
=> k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k9_relset_2) ).
fof(c_0_7,negated_conjecture,
~ ! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> k9_relset_2(X1,X1,X2,k6_partfun1(X1),X3) = k9_relset_2(X1,X2,X2,X3,k6_partfun1(X2)) ),
inference(assume_negation,[status(cth)],[t65_relset_2]) ).
fof(c_0_8,plain,
! [X4,X5,X6] :
( ~ m2_relset_1(X6,X4,X5)
| m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X5))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
fof(c_0_9,plain,
! [X2,X2] :
( v1_partfun1(k6_partfun1(X2),X2,X2)
& m2_relset_1(k6_partfun1(X2),X2,X2) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[dt_k6_partfun1])])]) ).
fof(c_0_10,negated_conjecture,
( m2_relset_1(esk3_0,esk1_0,esk2_0)
& k9_relset_2(esk1_0,esk1_0,esk2_0,k6_partfun1(esk1_0),esk3_0) != k9_relset_2(esk1_0,esk2_0,esk2_0,esk3_0,k6_partfun1(esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_11,plain,
! [X4,X5,X6] :
( ( k7_relset_1(X4,X4,X4,X5,k6_partfun1(X4),X6) = X6
| ~ m2_relset_1(X6,X4,X5) )
& ( k7_relset_1(X4,X5,X5,X5,X6,k6_partfun1(X5)) = X6
| ~ m2_relset_1(X6,X4,X5) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t23_funct_2])])]) ).
fof(c_0_12,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ m1_relset_1(X11,X7,X8)
| ~ m1_relset_1(X12,X9,X10)
| k7_relset_1(X7,X8,X9,X10,X11,X12) = k5_relat_1(X11,X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k7_relset_1])]) ).
fof(c_0_13,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( ~ m2_relset_1(X6,X4,X5)
| m1_relset_1(X6,X4,X5) )
& ( ~ m1_relset_1(X6,X4,X5)
| m2_relset_1(X6,X4,X5) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])])]) ).
fof(c_0_14,plain,
! [X6,X7,X8,X9,X10] :
( ~ m1_subset_1(X9,k1_zfmisc_1(k2_zfmisc_1(X6,X7)))
| ~ m1_subset_1(X10,k1_zfmisc_1(k2_zfmisc_1(X7,X8)))
| k9_relset_2(X6,X7,X8,X9,X10) = k5_relat_1(X9,X10) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k9_relset_2])]) ).
cnf(c_0_15,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,plain,
m2_relset_1(k6_partfun1(X1),X1,X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,negated_conjecture,
m2_relset_1(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
( k7_relset_1(X2,X2,X2,X3,k6_partfun1(X2),X1) = X1
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,plain,
( k7_relset_1(X1,X2,X3,X4,X5,X6) = k5_relat_1(X5,X6)
| ~ m1_relset_1(X6,X3,X4)
| ~ m1_relset_1(X5,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,negated_conjecture,
k9_relset_2(esk1_0,esk1_0,esk2_0,k6_partfun1(esk1_0),esk3_0) != k9_relset_2(esk1_0,esk2_0,esk2_0,esk3_0,k6_partfun1(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_22,plain,
( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,plain,
m1_subset_1(k6_partfun1(X1),k1_zfmisc_1(k2_zfmisc_1(X1,X1))),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_24,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_15,c_0_17]) ).
cnf(c_0_25,plain,
( k5_relat_1(k6_partfun1(X1),X2) = X2
| ~ m1_relset_1(k6_partfun1(X1),X1,X1)
| ~ m2_relset_1(X2,X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_26,plain,
( k7_relset_1(X2,X3,X3,X3,X1,k6_partfun1(X3)) = X1
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_27,negated_conjecture,
k9_relset_2(esk1_0,esk1_0,esk2_0,k6_partfun1(esk1_0),esk3_0) != k5_relat_1(esk3_0,k6_partfun1(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]) ).
cnf(c_0_28,plain,
( k5_relat_1(k6_partfun1(X1),X2) = X2
| ~ m2_relset_1(X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_20]),c_0_16])]) ).
cnf(c_0_29,plain,
( k5_relat_1(X1,k6_partfun1(X2)) = X1
| ~ m1_relset_1(k6_partfun1(X2),X2,X2)
| ~ m2_relset_1(X1,X3,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_19]),c_0_20]) ).
cnf(c_0_30,negated_conjecture,
k5_relat_1(k6_partfun1(esk1_0),esk3_0) != k5_relat_1(esk3_0,k6_partfun1(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_22]),c_0_24]),c_0_23])]) ).
cnf(c_0_31,negated_conjecture,
k5_relat_1(k6_partfun1(esk1_0),esk3_0) = esk3_0,
inference(spm,[status(thm)],[c_0_28,c_0_17]) ).
cnf(c_0_32,plain,
( k5_relat_1(X1,k6_partfun1(X2)) = X1
| ~ m2_relset_1(X1,X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_20]),c_0_16])]) ).
cnf(c_0_33,negated_conjecture,
k5_relat_1(esk3_0,k6_partfun1(esk2_0)) != esk3_0,
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_17]),c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU451+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 15:04:53 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.23/1.40 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 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 : 35
% 0.23/1.40 # Proof object clause steps : 20
% 0.23/1.40 # Proof object formula steps : 15
% 0.23/1.40 # Proof object conjectures : 11
% 0.23/1.40 # Proof object clause conjectures : 8
% 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 : 7
% 0.23/1.40 # Proof object generating inferences : 10
% 0.23/1.40 # Proof object simplifying inferences : 14
% 0.23/1.40 # Training examples: 0 positive, 0 negative
% 0.23/1.40 # Parsed axioms : 48
% 0.23/1.40 # Removed by relevancy pruning/SinE : 0
% 0.23/1.40 # Initial clauses : 77
% 0.23/1.40 # Removed in clause preprocessing : 7
% 0.23/1.40 # Initial clauses in saturation : 70
% 0.23/1.40 # Processed clauses : 114
% 0.23/1.40 # ...of these trivial : 3
% 0.23/1.40 # ...subsumed : 3
% 0.23/1.40 # ...remaining for further processing : 107
% 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 : 3
% 0.23/1.40 # Backward-rewritten : 9
% 0.23/1.40 # Generated clauses : 119
% 0.23/1.40 # ...of the previous two non-trivial : 100
% 0.23/1.40 # Contextual simplify-reflections : 2
% 0.23/1.40 # Paramodulations : 116
% 0.23/1.40 # Factorizations : 0
% 0.23/1.40 # Equation resolutions : 0
% 0.23/1.40 # Current number of processed clauses : 94
% 0.23/1.40 # Positive orientable unit clauses : 46
% 0.23/1.40 # Positive unorientable unit clauses: 0
% 0.23/1.40 # Negative unit clauses : 6
% 0.23/1.40 # Non-unit-clauses : 42
% 0.23/1.40 # Current number of unprocessed clauses: 45
% 0.23/1.40 # ...number of literals in the above : 94
% 0.23/1.40 # Current number of archived formulas : 0
% 0.23/1.40 # Current number of archived clauses : 13
% 0.23/1.40 # Clause-clause subsumption calls (NU) : 592
% 0.23/1.40 # Rec. Clause-clause subsumption calls : 448
% 0.23/1.40 # Non-unit clause-clause subsumptions : 8
% 0.23/1.40 # Unit Clause-clause subsumption calls : 329
% 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 : 5
% 0.23/1.40 # Condensation attempts : 0
% 0.23/1.40 # Condensation successes : 0
% 0.23/1.40 # Termbank termtop insertions : 4472
% 0.23/1.40
% 0.23/1.40 # -------------------------------------------------
% 0.23/1.40 # User time : 0.018 s
% 0.23/1.40 # System time : 0.003 s
% 0.23/1.40 # Total time : 0.021 s
% 0.23/1.40 # Maximum resident set size: 3260 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
% 0.23/23.41 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
% 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.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
% 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
% 0.23/23.44 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
% 0.23/23.46 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
% 0.23/23.46 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
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------