TSTP Solution File: SEU284+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU284+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n008.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 09:18:36 EDT 2022
% Result : Theorem 0.23s 1.40s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 41 ( 6 unt; 0 def)
% Number of atoms : 224 ( 131 equ)
% Maximal formula atoms : 104 ( 5 avg)
% Number of connectives : 270 ( 87 ~; 133 |; 45 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 5 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 66 ( 13 sgn 15 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s2_funct_1__e16_22__wellord2__1,axiom,
! [X1] :
( ( ! [X2,X3,X4] :
( ( in(X2,X1)
& X3 = singleton(X2)
& X4 = singleton(X2) )
=> X3 = X4 )
& ! [X2] :
~ ( in(X2,X1)
& ! [X3] : X3 != singleton(X2) ) )
=> ? [X2] :
( relation(X2)
& function(X2)
& relation_dom(X2) = X1
& ! [X3] :
( in(X3,X1)
=> apply(X2,X3) = singleton(X3) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',s2_funct_1__e16_22__wellord2__1) ).
fof(s3_funct_1__e16_22__wellord2,conjecture,
! [X1] :
? [X2] :
( relation(X2)
& function(X2)
& relation_dom(X2) = X1
& ! [X3] :
( in(X3,X1)
=> apply(X2,X3) = singleton(X3) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',s3_funct_1__e16_22__wellord2) ).
fof(c_0_2,plain,
! [X5,X10,X12] :
( ( relation(esk7_1(X5))
| in(esk6_1(X5),X5)
| in(esk3_1(X5),X5) )
& ( function(esk7_1(X5))
| in(esk6_1(X5),X5)
| in(esk3_1(X5),X5) )
& ( relation_dom(esk7_1(X5)) = X5
| in(esk6_1(X5),X5)
| in(esk3_1(X5),X5) )
& ( ~ in(X12,X5)
| apply(esk7_1(X5),X12) = singleton(X12)
| in(esk6_1(X5),X5)
| in(esk3_1(X5),X5) )
& ( relation(esk7_1(X5))
| X10 != singleton(esk6_1(X5))
| in(esk3_1(X5),X5) )
& ( function(esk7_1(X5))
| X10 != singleton(esk6_1(X5))
| in(esk3_1(X5),X5) )
& ( relation_dom(esk7_1(X5)) = X5
| X10 != singleton(esk6_1(X5))
| in(esk3_1(X5),X5) )
& ( ~ in(X12,X5)
| apply(esk7_1(X5),X12) = singleton(X12)
| X10 != singleton(esk6_1(X5))
| in(esk3_1(X5),X5) )
& ( relation(esk7_1(X5))
| in(esk6_1(X5),X5)
| esk4_1(X5) = singleton(esk3_1(X5)) )
& ( function(esk7_1(X5))
| in(esk6_1(X5),X5)
| esk4_1(X5) = singleton(esk3_1(X5)) )
& ( relation_dom(esk7_1(X5)) = X5
| in(esk6_1(X5),X5)
| esk4_1(X5) = singleton(esk3_1(X5)) )
& ( ~ in(X12,X5)
| apply(esk7_1(X5),X12) = singleton(X12)
| in(esk6_1(X5),X5)
| esk4_1(X5) = singleton(esk3_1(X5)) )
& ( relation(esk7_1(X5))
| X10 != singleton(esk6_1(X5))
| esk4_1(X5) = singleton(esk3_1(X5)) )
& ( function(esk7_1(X5))
| X10 != singleton(esk6_1(X5))
| esk4_1(X5) = singleton(esk3_1(X5)) )
& ( relation_dom(esk7_1(X5)) = X5
| X10 != singleton(esk6_1(X5))
| esk4_1(X5) = singleton(esk3_1(X5)) )
& ( ~ in(X12,X5)
| apply(esk7_1(X5),X12) = singleton(X12)
| X10 != singleton(esk6_1(X5))
| esk4_1(X5) = singleton(esk3_1(X5)) )
& ( relation(esk7_1(X5))
| in(esk6_1(X5),X5)
| esk5_1(X5) = singleton(esk3_1(X5)) )
& ( function(esk7_1(X5))
| in(esk6_1(X5),X5)
| esk5_1(X5) = singleton(esk3_1(X5)) )
& ( relation_dom(esk7_1(X5)) = X5
| in(esk6_1(X5),X5)
| esk5_1(X5) = singleton(esk3_1(X5)) )
& ( ~ in(X12,X5)
| apply(esk7_1(X5),X12) = singleton(X12)
| in(esk6_1(X5),X5)
| esk5_1(X5) = singleton(esk3_1(X5)) )
& ( relation(esk7_1(X5))
| X10 != singleton(esk6_1(X5))
| esk5_1(X5) = singleton(esk3_1(X5)) )
& ( function(esk7_1(X5))
| X10 != singleton(esk6_1(X5))
| esk5_1(X5) = singleton(esk3_1(X5)) )
& ( relation_dom(esk7_1(X5)) = X5
| X10 != singleton(esk6_1(X5))
| esk5_1(X5) = singleton(esk3_1(X5)) )
& ( ~ in(X12,X5)
| apply(esk7_1(X5),X12) = singleton(X12)
| X10 != singleton(esk6_1(X5))
| esk5_1(X5) = singleton(esk3_1(X5)) )
& ( relation(esk7_1(X5))
| in(esk6_1(X5),X5)
| esk4_1(X5) != esk5_1(X5) )
& ( function(esk7_1(X5))
| in(esk6_1(X5),X5)
| esk4_1(X5) != esk5_1(X5) )
& ( relation_dom(esk7_1(X5)) = X5
| in(esk6_1(X5),X5)
| esk4_1(X5) != esk5_1(X5) )
& ( ~ in(X12,X5)
| apply(esk7_1(X5),X12) = singleton(X12)
| in(esk6_1(X5),X5)
| esk4_1(X5) != esk5_1(X5) )
& ( relation(esk7_1(X5))
| X10 != singleton(esk6_1(X5))
| esk4_1(X5) != esk5_1(X5) )
& ( function(esk7_1(X5))
| X10 != singleton(esk6_1(X5))
| esk4_1(X5) != esk5_1(X5) )
& ( relation_dom(esk7_1(X5)) = X5
| X10 != singleton(esk6_1(X5))
| esk4_1(X5) != esk5_1(X5) )
& ( ~ in(X12,X5)
| apply(esk7_1(X5),X12) = singleton(X12)
| X10 != singleton(esk6_1(X5))
| esk4_1(X5) != esk5_1(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)],[s2_funct_1__e16_22__wellord2__1])])])])])])]) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] :
? [X2] :
( relation(X2)
& function(X2)
& relation_dom(X2) = X1
& ! [X3] :
( in(X3,X1)
=> apply(X2,X3) = singleton(X3) ) ),
inference(assume_negation,[status(cth)],[s3_funct_1__e16_22__wellord2]) ).
cnf(c_0_4,plain,
( relation(esk7_1(X1))
| esk4_1(X1) != esk5_1(X1)
| X2 != singleton(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,plain,
( esk5_1(X1) = singleton(esk3_1(X1))
| relation(esk7_1(X1))
| X2 != singleton(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,plain,
( esk4_1(X1) = singleton(esk3_1(X1))
| relation(esk7_1(X1))
| X2 != singleton(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_7,negated_conjecture,
! [X5] :
( ( in(esk2_1(X5),esk1_0)
| ~ relation(X5)
| ~ function(X5)
| relation_dom(X5) != esk1_0 )
& ( apply(X5,esk2_1(X5)) != singleton(esk2_1(X5))
| ~ relation(X5)
| ~ function(X5)
| relation_dom(X5) != esk1_0 ) ),
inference(distribute,[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])])])])])]) ).
cnf(c_0_8,plain,
( apply(esk7_1(X1),X3) = singleton(X3)
| esk4_1(X1) != esk5_1(X1)
| X2 != singleton(esk6_1(X1))
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9,plain,
( relation(esk7_1(X1))
| esk5_1(X1) != esk4_1(X1) ),
inference(er,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
( esk5_1(X1) = singleton(esk3_1(X1))
| relation(esk7_1(X1)) ),
inference(er,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( esk4_1(X1) = singleton(esk3_1(X1))
| relation(esk7_1(X1)) ),
inference(er,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( function(esk7_1(X1))
| esk4_1(X1) != esk5_1(X1)
| X2 != singleton(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,plain,
( esk4_1(X1) = singleton(esk3_1(X1))
| apply(esk7_1(X1),X3) = singleton(X3)
| X2 != singleton(esk6_1(X1))
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14,plain,
( esk4_1(X1) = singleton(esk3_1(X1))
| function(esk7_1(X1))
| X2 != singleton(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_15,negated_conjecture,
( relation_dom(X1) != esk1_0
| ~ function(X1)
| ~ relation(X1)
| apply(X1,esk2_1(X1)) != singleton(esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,plain,
( apply(esk7_1(X1),X2) = singleton(X2)
| esk5_1(X1) != esk4_1(X1)
| ~ in(X2,X1) ),
inference(er,[status(thm)],[c_0_8]) ).
cnf(c_0_17,plain,
relation(esk7_1(X1)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_18,plain,
( function(esk7_1(X1))
| esk5_1(X1) != esk4_1(X1) ),
inference(er,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( relation_dom(esk7_1(X1)) = X1
| esk4_1(X1) != esk5_1(X1)
| X2 != singleton(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_20,plain,
( apply(esk7_1(X1),X2) = singleton(X2)
| esk4_1(X1) = singleton(esk3_1(X1))
| ~ in(X2,X1) ),
inference(er,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
( esk4_1(X1) = singleton(esk3_1(X1))
| function(esk7_1(X1)) ),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( esk4_1(X1) = singleton(esk3_1(X1))
| relation_dom(esk7_1(X1)) = X1
| X2 != singleton(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_23,plain,
( esk5_1(X1) = singleton(esk3_1(X1))
| apply(esk7_1(X1),X3) = singleton(X3)
| X2 != singleton(esk6_1(X1))
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_24,plain,
( esk5_1(X1) = singleton(esk3_1(X1))
| function(esk7_1(X1))
| X2 != singleton(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_25,negated_conjecture,
( relation_dom(esk7_1(X1)) != esk1_0
| esk5_1(X1) != esk4_1(X1)
| ~ in(esk2_1(esk7_1(X1)),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),c_0_18]) ).
cnf(c_0_26,negated_conjecture,
( in(esk2_1(X1),esk1_0)
| relation_dom(X1) != esk1_0
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_27,plain,
( relation_dom(esk7_1(X1)) = X1
| esk5_1(X1) != esk4_1(X1) ),
inference(er,[status(thm)],[c_0_19]) ).
cnf(c_0_28,negated_conjecture,
( esk4_1(X1) = singleton(esk3_1(X1))
| relation_dom(esk7_1(X1)) != esk1_0
| ~ in(esk2_1(esk7_1(X1)),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_20]),c_0_17])]),c_0_21]) ).
cnf(c_0_29,plain,
( esk4_1(X1) = singleton(esk3_1(X1))
| relation_dom(esk7_1(X1)) = X1 ),
inference(er,[status(thm)],[c_0_22]) ).
cnf(c_0_30,plain,
( apply(esk7_1(X1),X2) = singleton(X2)
| esk5_1(X1) = singleton(esk3_1(X1))
| ~ in(X2,X1) ),
inference(er,[status(thm)],[c_0_23]) ).
cnf(c_0_31,plain,
( esk5_1(X1) = singleton(esk3_1(X1))
| function(esk7_1(X1)) ),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_32,negated_conjecture,
esk5_1(esk1_0) != esk4_1(esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_17])]),c_0_18]),c_0_27]) ).
cnf(c_0_33,negated_conjecture,
esk4_1(esk1_0) = singleton(esk3_1(esk1_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_26]),c_0_17])]),c_0_21]),c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( esk5_1(X1) = singleton(esk3_1(X1))
| relation_dom(esk7_1(X1)) != esk1_0
| ~ in(esk2_1(esk7_1(X1)),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_30]),c_0_17])]),c_0_31]) ).
cnf(c_0_35,negated_conjecture,
esk5_1(esk1_0) != singleton(esk3_1(esk1_0)),
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
( relation_dom(esk7_1(esk1_0)) != esk1_0
| ~ function(esk7_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_26]),c_0_17])]),c_0_35]) ).
cnf(c_0_37,plain,
( esk5_1(X1) = singleton(esk3_1(X1))
| relation_dom(esk7_1(X1)) = X1
| X2 != singleton(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_38,negated_conjecture,
relation_dom(esk7_1(esk1_0)) != esk1_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_31]),c_0_35]) ).
cnf(c_0_39,plain,
( esk5_1(X1) = singleton(esk3_1(X1))
| relation_dom(esk7_1(X1)) = X1 ),
inference(er,[status(thm)],[c_0_37]) ).
cnf(c_0_40,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU284+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % 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 : Mon Jun 20 02:37:52 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 : 0.009 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 : 41
% 0.23/1.40 # Proof object clause steps : 36
% 0.23/1.40 # Proof object formula steps : 5
% 0.23/1.40 # Proof object conjectures : 14
% 0.23/1.40 # Proof object clause conjectures : 11
% 0.23/1.40 # Proof object formula conjectures : 3
% 0.23/1.40 # Proof object initial clauses used : 14
% 0.23/1.40 # Proof object initial formulas used : 2
% 0.23/1.40 # Proof object generating inferences : 21
% 0.23/1.40 # Proof object simplifying inferences : 24
% 0.23/1.40 # Training examples: 0 positive, 0 negative
% 0.23/1.40 # Parsed axioms : 27
% 0.23/1.40 # Removed by relevancy pruning/SinE : 13
% 0.23/1.40 # Initial clauses : 50
% 0.23/1.40 # Removed in clause preprocessing : 0
% 0.23/1.40 # Initial clauses in saturation : 50
% 0.23/1.40 # Processed clauses : 284
% 0.23/1.40 # ...of these trivial : 0
% 0.23/1.40 # ...subsumed : 105
% 0.23/1.40 # ...remaining for further processing : 179
% 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 : 54
% 0.23/1.40 # Backward-rewritten : 25
% 0.23/1.40 # Generated clauses : 629
% 0.23/1.40 # ...of the previous two non-trivial : 534
% 0.23/1.40 # Contextual simplify-reflections : 135
% 0.23/1.40 # Paramodulations : 613
% 0.23/1.40 # Factorizations : 0
% 0.23/1.40 # Equation resolutions : 16
% 0.23/1.40 # Current number of processed clauses : 100
% 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 : 6
% 0.23/1.40 # Non-unit-clauses : 84
% 0.23/1.40 # Current number of unprocessed clauses: 78
% 0.23/1.40 # ...number of literals in the above : 260
% 0.23/1.40 # Current number of archived formulas : 0
% 0.23/1.40 # Current number of archived clauses : 79
% 0.23/1.40 # Clause-clause subsumption calls (NU) : 2914
% 0.23/1.40 # Rec. Clause-clause subsumption calls : 1979
% 0.23/1.40 # Non-unit clause-clause subsumptions : 293
% 0.23/1.40 # Unit Clause-clause subsumption calls : 292
% 0.23/1.40 # Rewrite failures with RHS unbound : 0
% 0.23/1.40 # BW rewrite match attempts : 4
% 0.23/1.40 # BW rewrite match successes : 4
% 0.23/1.40 # Condensation attempts : 0
% 0.23/1.40 # Condensation successes : 0
% 0.23/1.40 # Termbank termtop insertions : 10583
% 0.23/1.40
% 0.23/1.40 # -------------------------------------------------
% 0.23/1.40 # User time : 0.021 s
% 0.23/1.40 # System time : 0.001 s
% 0.23/1.40 # Total time : 0.022 s
% 0.23/1.40 # Maximum resident set size: 3264 pages
%------------------------------------------------------------------------------