TSTP Solution File: SEU227+3 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU227+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 09:18:03 EDT 2022
% Result : Theorem 0.47s 49.65s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 43 ( 10 unt; 0 def)
% Number of atoms : 207 ( 46 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 285 ( 121 ~; 130 |; 19 &)
% ( 7 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 2 con; 0-4 aty)
% Number of variables : 142 ( 10 sgn 56 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d13_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2,X3] :
( X3 = relation_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(X5,X2) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d13_relat_1) ).
fof(d5_tarski,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d5_tarski) ).
fof(d4_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_dom(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X3,X4),X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d4_relat_1) ).
fof(d14_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2,X3] :
( X3 = relation_inverse_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(ordered_pair(X4,X5),X1)
& in(X5,X2) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d14_relat_1) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',commutativity_k2_tarski) ).
fof(t146_funct_1,conjecture,
! [X1,X2] :
( relation(X2)
=> ( subset(X1,relation_dom(X2))
=> subset(X1,relation_inverse_image(X2,relation_image(X2,X1))) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t146_funct_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d3_tarski) ).
fof(c_0_7,plain,
! [X6,X7,X8,X9,X9,X11,X7,X8,X13] :
( ( in(ordered_pair(esk1_4(X6,X7,X8,X9),X9),X6)
| ~ in(X9,X8)
| X8 != relation_image(X6,X7)
| ~ relation(X6) )
& ( in(esk1_4(X6,X7,X8,X9),X7)
| ~ in(X9,X8)
| X8 != relation_image(X6,X7)
| ~ relation(X6) )
& ( ~ in(ordered_pair(X11,X9),X6)
| ~ in(X11,X7)
| in(X9,X8)
| X8 != relation_image(X6,X7)
| ~ relation(X6) )
& ( ~ in(esk2_3(X6,X7,X8),X8)
| ~ in(ordered_pair(X13,esk2_3(X6,X7,X8)),X6)
| ~ in(X13,X7)
| X8 = relation_image(X6,X7)
| ~ relation(X6) )
& ( in(ordered_pair(esk3_3(X6,X7,X8),esk2_3(X6,X7,X8)),X6)
| in(esk2_3(X6,X7,X8),X8)
| X8 = relation_image(X6,X7)
| ~ relation(X6) )
& ( in(esk3_3(X6,X7,X8),X7)
| in(esk2_3(X6,X7,X8),X8)
| X8 = relation_image(X6,X7)
| ~ relation(X6) ) ),
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_relat_1])])])])])])]) ).
fof(c_0_8,plain,
! [X3,X4] : ordered_pair(X3,X4) = unordered_pair(unordered_pair(X3,X4),singleton(X3)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
fof(c_0_9,plain,
! [X5,X6,X7,X7,X9,X6,X11] :
( ( ~ in(X7,X6)
| in(ordered_pair(X7,esk8_3(X5,X6,X7)),X5)
| X6 != relation_dom(X5)
| ~ relation(X5) )
& ( ~ in(ordered_pair(X7,X9),X5)
| in(X7,X6)
| X6 != relation_dom(X5)
| ~ relation(X5) )
& ( ~ in(esk9_2(X5,X6),X6)
| ~ in(ordered_pair(esk9_2(X5,X6),X11),X5)
| X6 = relation_dom(X5)
| ~ relation(X5) )
& ( in(esk9_2(X5,X6),X6)
| in(ordered_pair(esk9_2(X5,X6),esk10_2(X5,X6)),X5)
| X6 = relation_dom(X5)
| ~ relation(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)],[d4_relat_1])])])])])])]) ).
fof(c_0_10,plain,
! [X6,X7,X8,X9,X9,X11,X7,X8,X13] :
( ( in(ordered_pair(X9,esk4_4(X6,X7,X8,X9)),X6)
| ~ in(X9,X8)
| X8 != relation_inverse_image(X6,X7)
| ~ relation(X6) )
& ( in(esk4_4(X6,X7,X8,X9),X7)
| ~ in(X9,X8)
| X8 != relation_inverse_image(X6,X7)
| ~ relation(X6) )
& ( ~ in(ordered_pair(X9,X11),X6)
| ~ in(X11,X7)
| in(X9,X8)
| X8 != relation_inverse_image(X6,X7)
| ~ relation(X6) )
& ( ~ in(esk5_3(X6,X7,X8),X8)
| ~ in(ordered_pair(esk5_3(X6,X7,X8),X13),X6)
| ~ in(X13,X7)
| X8 = relation_inverse_image(X6,X7)
| ~ relation(X6) )
& ( in(ordered_pair(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8)),X6)
| in(esk5_3(X6,X7,X8),X8)
| X8 = relation_inverse_image(X6,X7)
| ~ relation(X6) )
& ( in(esk6_3(X6,X7,X8),X7)
| in(esk5_3(X6,X7,X8),X8)
| X8 = relation_inverse_image(X6,X7)
| ~ relation(X6) ) ),
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)],[d14_relat_1])])])])])])]) ).
cnf(c_0_11,plain,
( in(X4,X2)
| ~ relation(X1)
| X2 != relation_image(X1,X3)
| ~ in(X5,X3)
| ~ in(ordered_pair(X5,X4),X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_13,plain,
! [X3,X4] : unordered_pair(X3,X4) = unordered_pair(X4,X3),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
cnf(c_0_14,plain,
( in(ordered_pair(X3,esk8_3(X1,X2,X3)),X1)
| ~ relation(X1)
| X2 != relation_dom(X1)
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( in(X4,X2)
| ~ relation(X1)
| X2 != relation_inverse_image(X1,X3)
| ~ in(X5,X3)
| ~ in(ordered_pair(X4,X5),X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( in(X4,X2)
| X2 != relation_image(X1,X3)
| ~ relation(X1)
| ~ in(X5,X3)
| ~ in(unordered_pair(unordered_pair(X5,X4),singleton(X5)),X1) ),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
( in(unordered_pair(unordered_pair(X3,esk8_3(X1,X2,X3)),singleton(X3)),X1)
| X2 != relation_dom(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
inference(rw,[status(thm)],[c_0_14,c_0_12]) ).
cnf(c_0_19,plain,
( in(X4,X2)
| X2 != relation_inverse_image(X1,X3)
| ~ relation(X1)
| ~ in(X5,X3)
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X1) ),
inference(rw,[status(thm)],[c_0_15,c_0_12]) ).
cnf(c_0_20,plain,
( in(X1,X2)
| X2 != relation_image(X3,X4)
| ~ relation(X3)
| ~ in(unordered_pair(singleton(X5),unordered_pair(X5,X1)),X3)
| ~ in(X5,X4) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk8_3(X2,X3,X1))),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
inference(rw,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_22,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| ~ relation(X3)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X5)),X3)
| ~ in(X5,X4) ),
inference(spm,[status(thm)],[c_0_19,c_0_17]) ).
cnf(c_0_23,plain,
( in(esk8_3(X1,X2,X3),X4)
| X4 != relation_image(X1,X5)
| X2 != relation_dom(X1)
| ~ relation(X1)
| ~ in(X3,X5)
| ~ in(X3,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
fof(c_0_24,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> ( subset(X1,relation_dom(X2))
=> subset(X1,relation_inverse_image(X2,relation_image(X2,X1))) ) ),
inference(assume_negation,[status(cth)],[t146_funct_1]) ).
cnf(c_0_25,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| X5 != relation_dom(X3)
| ~ relation(X3)
| ~ in(esk8_3(X3,X5,X1),X4)
| ~ in(X1,X5) ),
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_26,plain,
( in(esk8_3(X1,X2,X3),relation_image(X1,X4))
| X2 != relation_dom(X1)
| ~ relation(X1)
| ~ in(X3,X4)
| ~ in(X3,X2) ),
inference(er,[status(thm)],[c_0_23]) ).
fof(c_0_27,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ in(X6,X4)
| in(X6,X5) )
& ( in(esk7_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ in(esk7_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_28,negated_conjecture,
( relation(esk23_0)
& subset(esk22_0,relation_dom(esk23_0))
& ~ subset(esk22_0,relation_inverse_image(esk23_0,relation_image(esk23_0,esk22_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
cnf(c_0_29,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,relation_image(X3,X4))
| X5 != relation_dom(X3)
| ~ relation(X3)
| ~ in(X1,X5)
| ~ in(X1,X4) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,negated_conjecture,
subset(esk22_0,relation_dom(esk23_0)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,plain,
( in(X1,relation_inverse_image(X2,relation_image(X2,X3)))
| X4 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X4)
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_29]) ).
cnf(c_0_33,negated_conjecture,
( in(X1,relation_dom(esk23_0))
| ~ in(X1,esk22_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,plain,
( subset(X1,X2)
| ~ in(esk7_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,negated_conjecture,
( in(X1,relation_inverse_image(X2,relation_image(X2,X3)))
| relation_dom(esk23_0) != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,esk22_0)
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
( subset(X1,relation_inverse_image(X2,relation_image(X2,X3)))
| relation_dom(esk23_0) != relation_dom(X2)
| ~ relation(X2)
| ~ in(esk7_2(X1,relation_inverse_image(X2,relation_image(X2,X3))),esk22_0)
| ~ in(esk7_2(X1,relation_inverse_image(X2,relation_image(X2,X3))),X3) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_37,plain,
( subset(X1,X2)
| in(esk7_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_38,negated_conjecture,
( subset(esk22_0,relation_inverse_image(X1,relation_image(X1,X2)))
| relation_dom(esk23_0) != relation_dom(X1)
| ~ relation(X1)
| ~ in(esk7_2(esk22_0,relation_inverse_image(X1,relation_image(X1,X2))),X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_39,negated_conjecture,
~ subset(esk22_0,relation_inverse_image(esk23_0,relation_image(esk23_0,esk22_0))),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_40,negated_conjecture,
( subset(esk22_0,relation_inverse_image(X1,relation_image(X1,esk22_0)))
| relation_dom(esk23_0) != relation_dom(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
relation(esk23_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_42,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU227+3 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 20 01:29:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.34/23.40 eprover: CPU time limit exceeded, terminating
% 0.34/23.40 eprover: CPU time limit exceeded, terminating
% 0.34/23.41 eprover: CPU time limit exceeded, terminating
% 0.34/23.41 eprover: CPU time limit exceeded, terminating
% 0.44/46.43 eprover: CPU time limit exceeded, terminating
% 0.44/46.44 eprover: CPU time limit exceeded, terminating
% 0.44/46.46 eprover: CPU time limit exceeded, terminating
% 0.44/46.46 eprover: CPU time limit exceeded, terminating
% 0.47/49.65 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.47/49.65
% 0.47/49.65 # Failure: Resource limit exceeded (time)
% 0.47/49.65 # OLD status Res
% 0.47/49.65 # Preprocessing time : 0.017 s
% 0.47/49.65 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.47/49.65
% 0.47/49.65 # Failure: Resource limit exceeded (time)
% 0.47/49.65 # OLD status Res
% 0.47/49.65 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.47/49.65 # Preprocessing time : 0.017 s
% 0.47/49.65 # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 0.47/49.65 # Preprocessing time : 0.016 s
% 0.47/49.65
% 0.47/49.65 # Proof found!
% 0.47/49.65 # SZS status Theorem
% 0.47/49.65 # SZS output start CNFRefutation
% See solution above
% 0.47/49.65 # Proof object total steps : 43
% 0.47/49.65 # Proof object clause steps : 28
% 0.47/49.65 # Proof object formula steps : 15
% 0.47/49.65 # Proof object conjectures : 12
% 0.47/49.65 # Proof object clause conjectures : 9
% 0.47/49.65 # Proof object formula conjectures : 3
% 0.47/49.65 # Proof object initial clauses used : 11
% 0.47/49.65 # Proof object initial formulas used : 7
% 0.47/49.65 # Proof object generating inferences : 13
% 0.47/49.65 # Proof object simplifying inferences : 6
% 0.47/49.65 # Training examples: 0 positive, 0 negative
% 0.47/49.65 # Parsed axioms : 40
% 0.47/49.65 # Removed by relevancy pruning/SinE : 0
% 0.47/49.65 # Initial clauses : 74
% 0.47/49.65 # Removed in clause preprocessing : 3
% 0.47/49.65 # Initial clauses in saturation : 71
% 0.47/49.65 # Processed clauses : 6235
% 0.47/49.65 # ...of these trivial : 31
% 0.47/49.65 # ...subsumed : 4232
% 0.47/49.65 # ...remaining for further processing : 1972
% 0.47/49.65 # Other redundant clauses eliminated : 0
% 0.47/49.65 # Clauses deleted for lack of memory : 0
% 0.47/49.65 # Backward-subsumed : 151
% 0.47/49.65 # Backward-rewritten : 66
% 0.47/49.65 # Generated clauses : 114514
% 0.47/49.65 # ...of the previous two non-trivial : 109282
% 0.47/49.65 # Contextual simplify-reflections : 0
% 0.47/49.65 # Paramodulations : 114251
% 0.47/49.65 # Factorizations : 36
% 0.47/49.65 # Equation resolutions : 227
% 0.47/49.65 # Current number of processed clauses : 1755
% 0.47/49.65 # Positive orientable unit clauses : 60
% 0.47/49.65 # Positive unorientable unit clauses: 1
% 0.47/49.65 # Negative unit clauses : 34
% 0.47/49.65 # Non-unit-clauses : 1660
% 0.47/49.65 # Current number of unprocessed clauses: 95363
% 0.47/49.65 # ...number of literals in the above : 721237
% 0.47/49.65 # Current number of archived formulas : 0
% 0.47/49.65 # Current number of archived clauses : 218
% 0.47/49.65 # Clause-clause subsumption calls (NU) : 560886
% 0.47/49.65 # Rec. Clause-clause subsumption calls : 46217
% 0.47/49.65 # Non-unit clause-clause subsumptions : 3207
% 0.47/49.65 # Unit Clause-clause subsumption calls : 11510
% 0.47/49.65 # Rewrite failures with RHS unbound : 0
% 0.47/49.65 # BW rewrite match attempts : 72
% 0.47/49.65 # BW rewrite match successes : 19
% 0.47/49.65 # Condensation attempts : 0
% 0.47/49.65 # Condensation successes : 0
% 0.47/49.65 # Termbank termtop insertions : 1928236
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% 0.47/49.65 # -------------------------------------------------
% 0.47/49.65 # User time : 2.541 s
% 0.47/49.65 # System time : 0.074 s
% 0.47/49.65 # Total time : 2.615 s
% 0.47/49.65 # Maximum resident set size: 86808 pages
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