TSTP Solution File: SEU077+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU077+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n006.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 09:16:43 EDT 2022
% Result : Theorem 0.29s 3.47s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 6 unt; 0 def)
% Number of atoms : 174 ( 30 equ)
% Maximal formula atoms : 32 ( 5 avg)
% Number of connectives : 241 ( 99 ~; 106 |; 24 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 81 ( 7 sgn 35 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d13_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2,X3] :
( X3 = relation_inverse_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,relation_dom(X1))
& in(apply(X1,X4),X2) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d13_funct_1) ).
fof(t158_funct_1,conjecture,
! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( ( subset(relation_inverse_image(X3,X1),relation_inverse_image(X3,X2))
& subset(X1,relation_rng(X3)) )
=> subset(X1,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t158_funct_1) ).
fof(d5_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( X2 = relation_rng(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,relation_dom(X1))
& X3 = apply(X1,X4) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d5_funct_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d3_tarski) ).
fof(c_0_4,plain,
! [X5,X6,X7,X8,X8,X6,X7] :
( ( in(X8,relation_dom(X5))
| ~ in(X8,X7)
| X7 != relation_inverse_image(X5,X6)
| ~ relation(X5)
| ~ function(X5) )
& ( in(apply(X5,X8),X6)
| ~ in(X8,X7)
| X7 != relation_inverse_image(X5,X6)
| ~ relation(X5)
| ~ function(X5) )
& ( ~ in(X8,relation_dom(X5))
| ~ in(apply(X5,X8),X6)
| in(X8,X7)
| X7 != relation_inverse_image(X5,X6)
| ~ relation(X5)
| ~ function(X5) )
& ( ~ in(esk1_3(X5,X6,X7),X7)
| ~ in(esk1_3(X5,X6,X7),relation_dom(X5))
| ~ in(apply(X5,esk1_3(X5,X6,X7)),X6)
| X7 = relation_inverse_image(X5,X6)
| ~ relation(X5)
| ~ function(X5) )
& ( in(esk1_3(X5,X6,X7),relation_dom(X5))
| in(esk1_3(X5,X6,X7),X7)
| X7 = relation_inverse_image(X5,X6)
| ~ relation(X5)
| ~ function(X5) )
& ( in(apply(X5,esk1_3(X5,X6,X7)),X6)
| in(esk1_3(X5,X6,X7),X7)
| X7 = relation_inverse_image(X5,X6)
| ~ relation(X5)
| ~ function(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)],[d13_funct_1])])])])])])]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( ( subset(relation_inverse_image(X3,X1),relation_inverse_image(X3,X2))
& subset(X1,relation_rng(X3)) )
=> subset(X1,X2) ) ),
inference(assume_negation,[status(cth)],[t158_funct_1]) ).
cnf(c_0_6,plain,
( in(apply(X1,X4),X3)
| ~ function(X1)
| ~ relation(X1)
| X2 != relation_inverse_image(X1,X3)
| ~ in(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_7,plain,
! [X5,X6,X7,X7,X9,X6,X11] :
( ( in(esk3_3(X5,X6,X7),relation_dom(X5))
| ~ in(X7,X6)
| X6 != relation_rng(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( X7 = apply(X5,esk3_3(X5,X6,X7))
| ~ in(X7,X6)
| X6 != relation_rng(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( ~ in(X9,relation_dom(X5))
| X7 != apply(X5,X9)
| in(X7,X6)
| X6 != relation_rng(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( ~ in(esk4_2(X5,X6),X6)
| ~ in(X11,relation_dom(X5))
| esk4_2(X5,X6) != apply(X5,X11)
| X6 = relation_rng(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( in(esk5_2(X5,X6),relation_dom(X5))
| in(esk4_2(X5,X6),X6)
| X6 = relation_rng(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( esk4_2(X5,X6) = apply(X5,esk5_2(X5,X6))
| in(esk4_2(X5,X6),X6)
| X6 = relation_rng(X5)
| ~ relation(X5)
| ~ function(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)],[d5_funct_1])])])])])])]) ).
fof(c_0_8,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ in(X6,X4)
| in(X6,X5) )
& ( in(esk2_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ in(esk2_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)],[d3_tarski])])])])])])]) ).
fof(c_0_9,negated_conjecture,
( relation(esk19_0)
& function(esk19_0)
& subset(relation_inverse_image(esk19_0,esk17_0),relation_inverse_image(esk19_0,esk18_0))
& subset(esk17_0,relation_rng(esk19_0))
& ~ subset(esk17_0,esk18_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_10,plain,
( in(apply(X1,X2),X3)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_inverse_image(X1,X3)) ),
inference(er,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( X3 = apply(X1,esk3_3(X1,X2,X3))
| ~ function(X1)
| ~ relation(X1)
| X2 != relation_rng(X1)
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
subset(relation_inverse_image(esk19_0,esk17_0),relation_inverse_image(esk19_0,esk18_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( in(X4,X2)
| ~ function(X1)
| ~ relation(X1)
| X2 != relation_inverse_image(X1,X3)
| ~ in(apply(X1,X4),X3)
| ~ in(X4,relation_dom(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,plain,
( in(esk3_3(X1,X2,X3),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1)
| X2 != relation_rng(X1)
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,plain,
( in(X1,X2)
| X3 != relation_rng(X4)
| ~ relation(X4)
| ~ function(X4)
| ~ in(esk3_3(X4,X3,X1),relation_inverse_image(X4,X2))
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,negated_conjecture,
( in(X1,relation_inverse_image(esk19_0,esk18_0))
| ~ in(X1,relation_inverse_image(esk19_0,esk17_0)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
relation(esk19_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,negated_conjecture,
function(esk19_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_20,plain,
( in(esk3_3(X1,X2,X3),X4)
| X4 != relation_inverse_image(X1,X5)
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X3,X5)
| ~ in(X3,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_11]),c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( in(X1,esk18_0)
| X2 != relation_rng(esk19_0)
| ~ in(esk3_3(esk19_0,X2,X1),relation_inverse_image(esk19_0,esk17_0))
| ~ in(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19])]) ).
cnf(c_0_22,plain,
( in(esk3_3(X1,X2,X3),relation_inverse_image(X1,X4))
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X3,X4)
| ~ in(X3,X2) ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_23,negated_conjecture,
subset(esk17_0,relation_rng(esk19_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,negated_conjecture,
( in(X1,esk18_0)
| X2 != relation_rng(esk19_0)
| ~ in(X1,esk17_0)
| ~ in(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_18]),c_0_19])]) ).
cnf(c_0_25,negated_conjecture,
( in(X1,relation_rng(esk19_0))
| ~ in(X1,esk17_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_23]) ).
cnf(c_0_26,plain,
( subset(X1,X2)
| ~ in(esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,negated_conjecture,
( in(X1,esk18_0)
| ~ in(X1,esk17_0) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_24]),c_0_25]) ).
cnf(c_0_28,negated_conjecture,
( subset(X1,esk18_0)
| ~ in(esk2_2(X1,esk18_0),esk17_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_29,plain,
( subset(X1,X2)
| in(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_30,negated_conjecture,
~ subset(esk17_0,esk18_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SEU077+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.15 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n006.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.37 % WCLimit : 600
% 0.14/0.37 % DateTime : Sun Jun 19 19:30:25 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.29/3.47 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.29/3.47 # Preprocessing time : 0.018 s
% 0.29/3.47
% 0.29/3.47 # Proof found!
% 0.29/3.47 # SZS status Theorem
% 0.29/3.47 # SZS output start CNFRefutation
% See solution above
% 0.29/3.47 # Proof object total steps : 32
% 0.29/3.47 # Proof object clause steps : 23
% 0.29/3.47 # Proof object formula steps : 9
% 0.29/3.47 # Proof object conjectures : 15
% 0.29/3.47 # Proof object clause conjectures : 12
% 0.29/3.47 # Proof object formula conjectures : 3
% 0.29/3.47 # Proof object initial clauses used : 12
% 0.29/3.47 # Proof object initial formulas used : 4
% 0.29/3.47 # Proof object generating inferences : 11
% 0.29/3.47 # Proof object simplifying inferences : 9
% 0.29/3.47 # Training examples: 0 positive, 0 negative
% 0.29/3.47 # Parsed axioms : 36
% 0.29/3.47 # Removed by relevancy pruning/SinE : 0
% 0.29/3.47 # Initial clauses : 70
% 0.29/3.47 # Removed in clause preprocessing : 2
% 0.29/3.47 # Initial clauses in saturation : 68
% 0.29/3.47 # Processed clauses : 12557
% 0.29/3.47 # ...of these trivial : 140
% 0.29/3.47 # ...subsumed : 9814
% 0.29/3.47 # ...remaining for further processing : 2603
% 0.29/3.47 # Other redundant clauses eliminated : 1
% 0.29/3.47 # Clauses deleted for lack of memory : 0
% 0.29/3.47 # Backward-subsumed : 427
% 0.29/3.47 # Backward-rewritten : 59
% 0.29/3.47 # Generated clauses : 153970
% 0.29/3.47 # ...of the previous two non-trivial : 148463
% 0.29/3.47 # Contextual simplify-reflections : 13272
% 0.29/3.47 # Paramodulations : 153739
% 0.29/3.47 # Factorizations : 20
% 0.29/3.47 # Equation resolutions : 207
% 0.29/3.47 # Current number of processed clauses : 2113
% 0.29/3.47 # Positive orientable unit clauses : 40
% 0.29/3.47 # Positive unorientable unit clauses: 0
% 0.29/3.47 # Negative unit clauses : 26
% 0.29/3.47 # Non-unit-clauses : 2047
% 0.29/3.47 # Current number of unprocessed clauses: 117909
% 0.29/3.47 # ...number of literals in the above : 745352
% 0.29/3.47 # Current number of archived formulas : 0
% 0.29/3.47 # Current number of archived clauses : 490
% 0.29/3.47 # Clause-clause subsumption calls (NU) : 2360701
% 0.29/3.47 # Rec. Clause-clause subsumption calls : 826556
% 0.29/3.47 # Non-unit clause-clause subsumptions : 19939
% 0.29/3.47 # Unit Clause-clause subsumption calls : 4607
% 0.29/3.47 # Rewrite failures with RHS unbound : 0
% 0.29/3.47 # BW rewrite match attempts : 20
% 0.29/3.47 # BW rewrite match successes : 15
% 0.29/3.47 # Condensation attempts : 0
% 0.29/3.47 # Condensation successes : 0
% 0.29/3.47 # Termbank termtop insertions : 3248325
% 0.29/3.47
% 0.29/3.47 # -------------------------------------------------
% 0.29/3.47 # User time : 2.891 s
% 0.29/3.47 # System time : 0.084 s
% 0.29/3.47 # Total time : 2.975 s
% 0.29/3.47 # Maximum resident set size: 112876 pages
% 0.29/23.46 eprover: CPU time limit exceeded, terminating
% 0.29/23.46 eprover: CPU time limit exceeded, terminating
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.52 eprover: No such file or directory
% 0.29/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.52 eprover: No such file or directory
%------------------------------------------------------------------------------