TSTP Solution File: SEU080+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU080+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n016.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 09:16:44 EDT 2022
% Result : Theorem 0.27s 1.44s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 12 unt; 0 def)
% Number of atoms : 63 ( 13 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 61 ( 21 ~; 17 |; 16 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 3 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t161_funct_1,conjecture,
! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( ( relation_inverse_image(X3,X1) = relation_inverse_image(X3,X2)
& subset(X1,relation_rng(X3))
& subset(X2,relation_rng(X3)) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t161_funct_1) ).
fof(t158_funct_1,axiom,
! [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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t158_funct_1) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',reflexivity_r1_tarski) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d10_xboole_0) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( ( relation_inverse_image(X3,X1) = relation_inverse_image(X3,X2)
& subset(X1,relation_rng(X3))
& subset(X2,relation_rng(X3)) )
=> X1 = X2 ) ),
inference(assume_negation,[status(cth)],[t161_funct_1]) ).
fof(c_0_5,plain,
! [X4,X5,X6] :
( ~ relation(X6)
| ~ function(X6)
| ~ subset(relation_inverse_image(X6,X4),relation_inverse_image(X6,X5))
| ~ subset(X4,relation_rng(X6))
| subset(X4,X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t158_funct_1])]) ).
fof(c_0_6,negated_conjecture,
( relation(esk3_0)
& function(esk3_0)
& relation_inverse_image(esk3_0,esk1_0) = relation_inverse_image(esk3_0,esk2_0)
& subset(esk1_0,relation_rng(esk3_0))
& subset(esk2_0,relation_rng(esk3_0))
& esk1_0 != esk2_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
cnf(c_0_7,plain,
( subset(X1,X2)
| ~ subset(X1,relation_rng(X3))
| ~ subset(relation_inverse_image(X3,X1),relation_inverse_image(X3,X2))
| ~ function(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
relation_inverse_image(esk3_0,esk1_0) = relation_inverse_image(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
subset(esk2_0,relation_rng(esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
function(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_12,plain,
! [X3] : subset(X3,X3),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(c_0_13,plain,
! [X3,X4,X3,X4] :
( ( subset(X3,X4)
| X3 != X4 )
& ( subset(X4,X3)
| X3 != X4 )
& ( ~ subset(X3,X4)
| ~ subset(X4,X3)
| X3 = X4 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])])])]) ).
cnf(c_0_14,negated_conjecture,
( subset(esk2_0,X1)
| ~ subset(relation_inverse_image(esk3_0,esk1_0),relation_inverse_image(esk3_0,X1)) ),
inference(cn,[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])]) ).
cnf(c_0_15,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
subset(esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,negated_conjecture,
( subset(X1,esk2_0)
| ~ subset(relation_inverse_image(esk3_0,X1),relation_inverse_image(esk3_0,esk1_0))
| ~ subset(X1,relation_rng(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_10]),c_0_11])]) ).
cnf(c_0_20,negated_conjecture,
subset(esk1_0,relation_rng(esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,negated_conjecture,
~ subset(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_15]),c_0_20])]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SEU080+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.15 % Command : run_ET %s %d
% 0.15/0.36 % Computer : n016.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jun 20 02:20:09 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.27/1.44 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.27/1.44 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.27/1.44 # Preprocessing time : 0.016 s
% 0.27/1.44
% 0.27/1.44 # Proof found!
% 0.27/1.44 # SZS status Theorem
% 0.27/1.44 # SZS output start CNFRefutation
% See solution above
% 0.27/1.44 # Proof object total steps : 23
% 0.27/1.44 # Proof object clause steps : 14
% 0.27/1.44 # Proof object formula steps : 9
% 0.27/1.44 # Proof object conjectures : 14
% 0.27/1.44 # Proof object clause conjectures : 11
% 0.27/1.44 # Proof object formula conjectures : 3
% 0.27/1.44 # Proof object initial clauses used : 9
% 0.27/1.44 # Proof object initial formulas used : 4
% 0.27/1.44 # Proof object generating inferences : 5
% 0.27/1.44 # Proof object simplifying inferences : 11
% 0.27/1.44 # Training examples: 0 positive, 0 negative
% 0.27/1.44 # Parsed axioms : 33
% 0.27/1.44 # Removed by relevancy pruning/SinE : 7
% 0.27/1.44 # Initial clauses : 42
% 0.27/1.44 # Removed in clause preprocessing : 0
% 0.27/1.44 # Initial clauses in saturation : 42
% 0.27/1.44 # Processed clauses : 88
% 0.27/1.44 # ...of these trivial : 1
% 0.27/1.44 # ...subsumed : 8
% 0.27/1.44 # ...remaining for further processing : 79
% 0.27/1.44 # Other redundant clauses eliminated : 2
% 0.27/1.44 # Clauses deleted for lack of memory : 0
% 0.27/1.44 # Backward-subsumed : 0
% 0.27/1.44 # Backward-rewritten : 11
% 0.27/1.44 # Generated clauses : 98
% 0.27/1.44 # ...of the previous two non-trivial : 84
% 0.27/1.44 # Contextual simplify-reflections : 0
% 0.27/1.44 # Paramodulations : 96
% 0.27/1.44 # Factorizations : 0
% 0.27/1.44 # Equation resolutions : 2
% 0.27/1.44 # Current number of processed clauses : 66
% 0.27/1.44 # Positive orientable unit clauses : 21
% 0.27/1.44 # Positive unorientable unit clauses: 0
% 0.27/1.44 # Negative unit clauses : 6
% 0.27/1.44 # Non-unit-clauses : 39
% 0.27/1.44 # Current number of unprocessed clauses: 25
% 0.27/1.44 # ...number of literals in the above : 61
% 0.27/1.44 # Current number of archived formulas : 0
% 0.27/1.44 # Current number of archived clauses : 11
% 0.27/1.44 # Clause-clause subsumption calls (NU) : 145
% 0.27/1.44 # Rec. Clause-clause subsumption calls : 107
% 0.27/1.44 # Non-unit clause-clause subsumptions : 8
% 0.27/1.44 # Unit Clause-clause subsumption calls : 23
% 0.27/1.44 # Rewrite failures with RHS unbound : 0
% 0.27/1.44 # BW rewrite match attempts : 4
% 0.27/1.44 # BW rewrite match successes : 4
% 0.27/1.44 # Condensation attempts : 0
% 0.27/1.44 # Condensation successes : 0
% 0.27/1.44 # Termbank termtop insertions : 2802
% 0.27/1.44
% 0.27/1.44 # -------------------------------------------------
% 0.27/1.44 # User time : 0.019 s
% 0.27/1.44 # System time : 0.001 s
% 0.27/1.44 # Total time : 0.020 s
% 0.27/1.44 # Maximum resident set size: 2996 pages
%------------------------------------------------------------------------------