TSTP Solution File: SEU075+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU075+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n015.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 09:16:42 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 12 unt; 0 def)
% Number of atoms : 168 ( 62 equ)
% Maximal formula atoms : 32 ( 5 avg)
% Number of connectives : 214 ( 78 ~; 83 |; 35 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 51 ( 2 sgn 29 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t156_funct_1,conjecture,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ! [X4] :
( ( relation(X4)
& function(X4) )
=> ( ( X1 = relation_rng(X2)
& relation_dom(X3) = X1
& relation_dom(X4) = X1
& relation_composition(X2,X3) = relation_composition(X2,X4) )
=> X3 = X4 ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t156_funct_1) ).
fof(t23_funct_1,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X1,relation_dom(X2))
=> apply(relation_composition(X2,X3),X1) = apply(X3,apply(X2,X1)) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t23_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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d5_funct_1) ).
fof(t9_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( relation_dom(X1) = relation_dom(X2)
& ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) ) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t9_funct_1) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ! [X4] :
( ( relation(X4)
& function(X4) )
=> ( ( X1 = relation_rng(X2)
& relation_dom(X3) = X1
& relation_dom(X4) = X1
& relation_composition(X2,X3) = relation_composition(X2,X4) )
=> X3 = X4 ) ) ) ),
inference(assume_negation,[status(cth)],[t156_funct_1]) ).
fof(c_0_5,plain,
! [X4,X5,X6] :
( ~ relation(X5)
| ~ function(X5)
| ~ relation(X6)
| ~ function(X6)
| ~ in(X4,relation_dom(X5))
| apply(relation_composition(X5,X6),X4) = apply(X6,apply(X5,X4)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t23_funct_1])])])])]) ).
fof(c_0_6,negated_conjecture,
( relation(esk2_0)
& function(esk2_0)
& relation(esk3_0)
& function(esk3_0)
& relation(esk4_0)
& function(esk4_0)
& esk1_0 = relation_rng(esk2_0)
& relation_dom(esk3_0) = esk1_0
& relation_dom(esk4_0) = esk1_0
& relation_composition(esk2_0,esk3_0) = relation_composition(esk2_0,esk4_0)
& esk3_0 != esk4_0 ),
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_4])])])])]) ).
cnf(c_0_7,plain,
( apply(relation_composition(X1,X2),X3) = apply(X2,apply(X1,X3))
| ~ in(X3,relation_dom(X1))
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
relation_composition(esk2_0,esk3_0) = relation_composition(esk2_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
relation(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
function(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
function(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
( apply(relation_composition(esk2_0,esk3_0),X1) = apply(esk4_0,apply(esk2_0,X1))
| ~ in(X1,relation_dom(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]) ).
cnf(c_0_14,negated_conjecture,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
function(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_16,plain,
! [X5,X6,X7,X7,X9,X6,X11] :
( ( in(esk5_3(X5,X6,X7),relation_dom(X5))
| ~ in(X7,X6)
| X6 != relation_rng(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( X7 = apply(X5,esk5_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(esk6_2(X5,X6),X6)
| ~ in(X11,relation_dom(X5))
| esk6_2(X5,X6) != apply(X5,X11)
| X6 = relation_rng(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( in(esk7_2(X5,X6),relation_dom(X5))
| in(esk6_2(X5,X6),X6)
| X6 = relation_rng(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( esk6_2(X5,X6) = apply(X5,esk7_2(X5,X6))
| in(esk6_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])])])])])])]) ).
cnf(c_0_17,negated_conjecture,
( apply(esk4_0,apply(esk2_0,X1)) = apply(esk3_0,apply(esk2_0,X1))
| ~ in(X1,relation_dom(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_13]),c_0_14]),c_0_10]),c_0_15]),c_0_12])]) ).
cnf(c_0_18,plain,
( X3 = apply(X1,esk5_3(X1,X2,X3))
| ~ function(X1)
| ~ relation(X1)
| X2 != relation_rng(X1)
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,negated_conjecture,
esk1_0 = relation_rng(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_20,plain,
! [X4,X5] :
( ( in(esk14_2(X4,X5),relation_dom(X4))
| relation_dom(X4) != relation_dom(X5)
| X4 = X5
| ~ relation(X5)
| ~ function(X5)
| ~ relation(X4)
| ~ function(X4) )
& ( apply(X4,esk14_2(X4,X5)) != apply(X5,esk14_2(X4,X5))
| relation_dom(X4) != relation_dom(X5)
| X4 = X5
| ~ relation(X5)
| ~ function(X5)
| ~ relation(X4)
| ~ function(X4) ) ),
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)],[t9_funct_1])])])])])])]) ).
cnf(c_0_21,negated_conjecture,
( apply(esk4_0,X1) = apply(esk3_0,X1)
| X2 != esk1_0
| ~ in(esk5_3(esk2_0,X2,X1),relation_dom(esk2_0))
| ~ in(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_10]),c_0_12])]) ).
cnf(c_0_22,plain,
( in(esk5_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_16]) ).
cnf(c_0_23,plain,
( X1 = X2
| in(esk14_2(X1,X2),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| relation_dom(X1) != relation_dom(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,negated_conjecture,
relation_dom(esk3_0) = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_25,negated_conjecture,
( apply(esk4_0,X1) = apply(esk3_0,X1)
| X2 != esk1_0
| ~ in(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_19]),c_0_10]),c_0_12])]) ).
cnf(c_0_26,negated_conjecture,
( esk3_0 = X1
| in(esk14_2(esk3_0,X1),esk1_0)
| relation_dom(X1) != esk1_0
| ~ relation(X1)
| ~ function(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_14]),c_0_15])]) ).
cnf(c_0_27,plain,
( X1 = X2
| ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| relation_dom(X1) != relation_dom(X2)
| apply(X1,esk14_2(X1,X2)) != apply(X2,esk14_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,negated_conjecture,
( apply(esk4_0,esk14_2(esk3_0,X1)) = apply(esk3_0,esk14_2(esk3_0,X1))
| esk3_0 = X1
| relation_dom(X1) != esk1_0
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,negated_conjecture,
relation_dom(esk4_0) = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_30,negated_conjecture,
esk3_0 != esk4_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_24]),c_0_29]),c_0_9]),c_0_14]),c_0_11]),c_0_15]),c_0_29])]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU075+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 20 08:18:15 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42 # Preprocessing time : 0.018 s
% 0.24/1.42
% 0.24/1.42 # Proof found!
% 0.24/1.42 # SZS status Theorem
% 0.24/1.42 # SZS output start CNFRefutation
% See solution above
% 0.24/1.42 # Proof object total steps : 32
% 0.24/1.42 # Proof object clause steps : 23
% 0.24/1.42 # Proof object formula steps : 9
% 0.24/1.42 # Proof object conjectures : 21
% 0.24/1.42 # Proof object clause conjectures : 18
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 16
% 0.24/1.42 # Proof object initial formulas used : 4
% 0.24/1.42 # Proof object generating inferences : 7
% 0.24/1.42 # Proof object simplifying inferences : 30
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 40
% 0.24/1.42 # Removed by relevancy pruning/SinE : 9
% 0.24/1.42 # Initial clauses : 59
% 0.24/1.42 # Removed in clause preprocessing : 0
% 0.24/1.42 # Initial clauses in saturation : 59
% 0.24/1.42 # Processed clauses : 5439
% 0.24/1.42 # ...of these trivial : 7
% 0.24/1.42 # ...subsumed : 4490
% 0.24/1.42 # ...remaining for further processing : 942
% 0.24/1.42 # Other redundant clauses eliminated : 13
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 169
% 0.24/1.42 # Backward-rewritten : 13
% 0.24/1.42 # Generated clauses : 26733
% 0.24/1.42 # ...of the previous two non-trivial : 25534
% 0.24/1.42 # Contextual simplify-reflections : 6182
% 0.24/1.42 # Paramodulations : 26583
% 0.24/1.42 # Factorizations : 0
% 0.24/1.42 # Equation resolutions : 150
% 0.24/1.42 # Current number of processed clauses : 760
% 0.24/1.42 # Positive orientable unit clauses : 25
% 0.24/1.42 # Positive unorientable unit clauses: 0
% 0.24/1.42 # Negative unit clauses : 23
% 0.24/1.42 # Non-unit-clauses : 712
% 0.24/1.42 # Current number of unprocessed clauses: 17440
% 0.24/1.42 # ...number of literals in the above : 127254
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 182
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 889955
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 302934
% 0.24/1.42 # Non-unit clause-clause subsumptions : 9000
% 0.24/1.42 # Unit Clause-clause subsumption calls : 1701
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 9
% 0.24/1.42 # BW rewrite match successes : 6
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 427774
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.718 s
% 0.24/1.42 # System time : 0.009 s
% 0.24/1.42 # Total time : 0.727 s
% 0.24/1.42 # Maximum resident set size: 19688 pages
% 0.24/23.45 eprover: CPU time limit exceeded, terminating
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50 eprover: No such file or directory
% 0.24/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------