%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU211+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 09:17:50 EDT 2022
% Result : Theorem 0.22s 1.39s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 10 unt; 0 def)
% Number of atoms : 129 ( 27 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 166 ( 72 ~; 75 |; 10 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-4 aty)
% Number of variables : 102 ( 5 sgn 35 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(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(t178_relat_1,conjecture,
! [X1,X2,X3] :
( relation(X3)
=> ( subset(X1,X2)
=> subset(relation_inverse_image(X3,X1),relation_inverse_image(X3,X2)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t178_relat_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_5,plain,
! [X6,X7,X8,X9,X9,X11,X7,X8,X13] :
( ( in(ordered_pair(X9,esk1_4(X6,X7,X8,X9)),X6)
| ~ in(X9,X8)
| X8 != relation_inverse_image(X6,X7)
| ~ relation(X6) )
& ( in(esk1_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(esk2_3(X6,X7,X8),X8)
| ~ in(ordered_pair(esk2_3(X6,X7,X8),X13),X6)
| ~ in(X13,X7)
| X8 = relation_inverse_image(X6,X7)
| ~ relation(X6) )
& ( in(ordered_pair(esk2_3(X6,X7,X8),esk3_3(X6,X7,X8)),X6)
| in(esk2_3(X6,X7,X8),X8)
| X8 = relation_inverse_image(X6,X7)
| ~ relation(X6) )
& ( in(esk3_3(X6,X7,X8),X7)
| in(esk2_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])])])])])])]) ).
fof(c_0_6,plain,
! [X3,X4] : ordered_pair(X3,X4) = unordered_pair(unordered_pair(X3,X4),singleton(X3)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
cnf(c_0_7,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_5]) ).
cnf(c_0_8,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X3,X4] : unordered_pair(X3,X4) = unordered_pair(X4,X3),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
cnf(c_0_10,plain,
( in(ordered_pair(X4,esk1_4(X1,X3,X2,X4)),X1)
| ~ relation(X1)
| X2 != relation_inverse_image(X1,X3)
| ~ in(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_11,negated_conjecture,
~ ! [X1,X2,X3] :
( relation(X3)
=> ( subset(X1,X2)
=> subset(relation_inverse_image(X3,X1),relation_inverse_image(X3,X2)) ) ),
inference(assume_negation,[status(cth)],[t178_relat_1]) ).
cnf(c_0_12,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_7,c_0_8]) ).
cnf(c_0_13,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( in(unordered_pair(unordered_pair(X4,esk1_4(X1,X3,X2,X4)),singleton(X4)),X1)
| X2 != relation_inverse_image(X1,X3)
| ~ relation(X1)
| ~ in(X4,X2) ),
inference(rw,[status(thm)],[c_0_10,c_0_8]) ).
fof(c_0_15,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ in(X6,X4)
| in(X6,X5) )
& ( in(esk4_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ in(esk4_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_16,negated_conjecture,
( relation(esk14_0)
& subset(esk12_0,esk13_0)
& ~ subset(relation_inverse_image(esk14_0,esk12_0),relation_inverse_image(esk14_0,esk13_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
cnf(c_0_17,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(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk1_4(X2,X3,X4,X1))),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ in(X1,X4) ),
inference(rw,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_19,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,negated_conjecture,
subset(esk12_0,esk13_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| X5 != relation_inverse_image(X3,X6)
| ~ relation(X3)
| ~ in(esk1_4(X3,X6,X5,X1),X4)
| ~ in(X1,X5) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
( in(X1,esk13_0)
| ~ in(X1,esk12_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
( in(X1,X2)
| X2 != relation_inverse_image(X3,esk13_0)
| X4 != relation_inverse_image(X3,X5)
| ~ relation(X3)
| ~ in(esk1_4(X3,X5,X4,X1),esk12_0)
| ~ in(X1,X4) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,plain,
( in(esk1_4(X1,X3,X2,X4),X3)
| ~ relation(X1)
| X2 != relation_inverse_image(X1,X3)
| ~ in(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_25,negated_conjecture,
( in(X1,X2)
| X2 != relation_inverse_image(X3,esk13_0)
| X4 != relation_inverse_image(X3,esk12_0)
| ~ relation(X3)
| ~ in(X1,X4) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,negated_conjecture,
( in(X1,relation_inverse_image(X2,esk13_0))
| X3 != relation_inverse_image(X2,esk12_0)
| ~ relation(X2)
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_25]) ).
cnf(c_0_27,plain,
( subset(X1,X2)
| ~ in(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_28,negated_conjecture,
( in(X1,relation_inverse_image(X2,esk13_0))
| ~ relation(X2)
| ~ in(X1,relation_inverse_image(X2,esk12_0)) ),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_29,negated_conjecture,
( subset(X1,relation_inverse_image(X2,esk13_0))
| ~ relation(X2)
| ~ in(esk4_2(X1,relation_inverse_image(X2,esk13_0)),relation_inverse_image(X2,esk12_0)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_30,plain,
( subset(X1,X2)
| in(esk4_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_31,negated_conjecture,
~ subset(relation_inverse_image(esk14_0,esk12_0),relation_inverse_image(esk14_0,esk13_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_32,negated_conjecture,
( subset(relation_inverse_image(X1,esk12_0),relation_inverse_image(X1,esk13_0))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,negated_conjecture,
relation(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_34,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU211+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n020.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 06:10:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.39 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.22/1.39 # Preprocessing time : 0.015 s
% 0.22/1.39
% 0.22/1.39 # Proof found!
% 0.22/1.39 # SZS status Theorem
% 0.22/1.39 # SZS output start CNFRefutation
% See solution above
% 0.22/1.39 # Proof object total steps : 35
% 0.22/1.39 # Proof object clause steps : 24
% 0.22/1.39 # Proof object formula steps : 11
% 0.22/1.39 # Proof object conjectures : 14
% 0.22/1.39 # Proof object clause conjectures : 11
% 0.22/1.39 # Proof object formula conjectures : 3
% 0.22/1.39 # Proof object initial clauses used : 11
% 0.22/1.39 # Proof object initial formulas used : 5
% 0.22/1.39 # Proof object generating inferences : 9
% 0.22/1.39 # Proof object simplifying inferences : 6
% 0.22/1.39 # Training examples: 0 positive, 0 negative
% 0.22/1.39 # Parsed axioms : 36
% 0.22/1.39 # Removed by relevancy pruning/SinE : 0
% 0.22/1.39 # Initial clauses : 51
% 0.22/1.39 # Removed in clause preprocessing : 8
% 0.22/1.39 # Initial clauses in saturation : 43
% 0.22/1.39 # Processed clauses : 3609
% 0.22/1.39 # ...of these trivial : 11
% 0.22/1.39 # ...subsumed : 2043
% 0.22/1.39 # ...remaining for further processing : 1555
% 0.22/1.39 # Other redundant clauses eliminated : 0
% 0.22/1.39 # Clauses deleted for lack of memory : 0
% 0.22/1.39 # Backward-subsumed : 62
% 0.22/1.39 # Backward-rewritten : 34
% 0.22/1.39 # Generated clauses : 38177
% 0.22/1.39 # ...of the previous two non-trivial : 37695
% 0.22/1.39 # Contextual simplify-reflections : 1264
% 0.22/1.39 # Paramodulations : 38047
% 0.22/1.39 # Factorizations : 4
% 0.22/1.39 # Equation resolutions : 98
% 0.22/1.39 # Current number of processed clauses : 1448
% 0.22/1.39 # Positive orientable unit clauses : 92
% 0.22/1.39 # Positive unorientable unit clauses: 1
% 0.22/1.39 # Negative unit clauses : 46
% 0.22/1.39 # Non-unit-clauses : 1309
% 0.22/1.39 # Current number of unprocessed clauses: 32744
% 0.22/1.39 # ...number of literals in the above : 206433
% 0.22/1.39 # Current number of archived formulas : 0
% 0.22/1.39 # Current number of archived clauses : 98
% 0.22/1.39 # Clause-clause subsumption calls (NU) : 616036
% 0.22/1.39 # Rec. Clause-clause subsumption calls : 124693
% 0.22/1.39 # Non-unit clause-clause subsumptions : 2711
% 0.22/1.39 # Unit Clause-clause subsumption calls : 15291
% 0.22/1.39 # Rewrite failures with RHS unbound : 0
% 0.22/1.39 # BW rewrite match attempts : 682
% 0.22/1.39 # BW rewrite match successes : 25
% 0.22/1.39 # Condensation attempts : 0
% 0.22/1.39 # Condensation successes : 0
% 0.22/1.39 # Termbank termtop insertions : 1219726
% 0.22/1.39
% 0.22/1.39 # -------------------------------------------------
% 0.22/1.39 # User time : 0.795 s
% 0.22/1.39 # System time : 0.020 s
% 0.22/1.39 # Total time : 0.815 s
% 0.22/1.39 # Maximum resident set size: 43856 pages
% 0.22/23.39 eprover: CPU time limit exceeded, terminating
% 0.22/23.39 eprover: CPU time limit exceeded, terminating
% 0.22/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.40 eprover: No such file or directory
% 0.22/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.41 eprover: No such file or directory
% 0.22/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.41 eprover: No such file or directory
% 0.22/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.41 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------