TSTP Solution File: SEU105+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU105+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n028.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 09:16:50 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 9 unt; 0 def)
% Number of atoms : 91 ( 6 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 106 ( 45 ~; 39 |; 11 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 49 ( 1 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t16_finsub_1,conjecture,
! [X1] :
( ~ empty(X1)
=> ( ! [X2] :
( element(X2,X1)
=> ! [X3] :
( element(X3,X1)
=> ( in(symmetric_difference(X2,X3),X1)
& in(set_intersection2(X2,X3),X1) ) ) )
=> preboolean(X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t16_finsub_1) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t1_subset) ).
fof(t10_finsub_1,axiom,
! [X1] :
( preboolean(X1)
<=> ! [X2,X3] :
( ( in(X2,X1)
& in(X3,X1) )
=> ( in(set_union2(X2,X3),X1)
& in(set_difference(X2,X3),X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t10_finsub_1) ).
fof(t100_xboole_1,axiom,
! [X1,X2] : set_difference(X1,X2) = symmetric_difference(X1,set_intersection2(X1,X2)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t100_xboole_1) ).
fof(t94_xboole_1,axiom,
! [X1,X2] : set_union2(X1,X2) = symmetric_difference(symmetric_difference(X1,X2),set_intersection2(X1,X2)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t94_xboole_1) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ~ empty(X1)
=> ( ! [X2] :
( element(X2,X1)
=> ! [X3] :
( element(X3,X1)
=> ( in(symmetric_difference(X2,X3),X1)
& in(set_intersection2(X2,X3),X1) ) ) )
=> preboolean(X1) ) ),
inference(assume_negation,[status(cth)],[t16_finsub_1]) ).
fof(c_0_6,negated_conjecture,
! [X5,X6] :
( ~ empty(esk1_0)
& ( in(symmetric_difference(X5,X6),esk1_0)
| ~ element(X6,esk1_0)
| ~ element(X5,esk1_0) )
& ( in(set_intersection2(X5,X6),esk1_0)
| ~ element(X6,esk1_0)
| ~ element(X5,esk1_0) )
& ~ preboolean(esk1_0) ),
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)],[inference(fof_simplification,[status(thm)],[c_0_5])])])])])])])]) ).
fof(c_0_7,plain,
! [X3,X4] :
( ~ in(X3,X4)
| element(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(c_0_8,plain,
! [X4,X5,X6,X4] :
( ( in(set_union2(X5,X6),X4)
| ~ in(X5,X4)
| ~ in(X6,X4)
| ~ preboolean(X4) )
& ( in(set_difference(X5,X6),X4)
| ~ in(X5,X4)
| ~ in(X6,X4)
| ~ preboolean(X4) )
& ( in(esk2_1(X4),X4)
| preboolean(X4) )
& ( in(esk3_1(X4),X4)
| preboolean(X4) )
& ( ~ in(set_union2(esk2_1(X4),esk3_1(X4)),X4)
| ~ in(set_difference(esk2_1(X4),esk3_1(X4)),X4)
| preboolean(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)],[t10_finsub_1])])])])])])]) ).
fof(c_0_9,plain,
! [X3,X4] : set_difference(X3,X4) = symmetric_difference(X3,set_intersection2(X3,X4)),
inference(variable_rename,[status(thm)],[t100_xboole_1]) ).
fof(c_0_10,plain,
! [X3,X4] : set_union2(X3,X4) = symmetric_difference(symmetric_difference(X3,X4),set_intersection2(X3,X4)),
inference(variable_rename,[status(thm)],[t94_xboole_1]) ).
cnf(c_0_11,negated_conjecture,
( in(symmetric_difference(X1,X2),esk1_0)
| ~ element(X1,esk1_0)
| ~ element(X2,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( preboolean(X1)
| ~ in(set_difference(esk2_1(X1),esk3_1(X1)),X1)
| ~ in(set_union2(esk2_1(X1),esk3_1(X1)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
set_difference(X1,X2) = symmetric_difference(X1,set_intersection2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
set_union2(X1,X2) = symmetric_difference(symmetric_difference(X1,X2),set_intersection2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
( in(symmetric_difference(X1,X2),esk1_0)
| ~ element(X1,esk1_0)
| ~ in(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
( preboolean(X1)
| ~ in(symmetric_difference(esk2_1(X1),set_intersection2(esk2_1(X1),esk3_1(X1))),X1)
| ~ in(symmetric_difference(symmetric_difference(esk2_1(X1),esk3_1(X1)),set_intersection2(esk2_1(X1),esk3_1(X1))),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( in(symmetric_difference(X1,X2),esk1_0)
| ~ in(X2,esk1_0)
| ~ in(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_12]) ).
cnf(c_0_19,negated_conjecture,
~ preboolean(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,negated_conjecture,
( in(set_intersection2(X1,X2),esk1_0)
| ~ element(X1,esk1_0)
| ~ element(X2,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,negated_conjecture,
( ~ in(symmetric_difference(esk2_1(esk1_0),set_intersection2(esk2_1(esk1_0),esk3_1(esk1_0))),esk1_0)
| ~ in(set_intersection2(esk2_1(esk1_0),esk3_1(esk1_0)),esk1_0)
| ~ in(symmetric_difference(esk2_1(esk1_0),esk3_1(esk1_0)),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( in(set_intersection2(X1,X2),esk1_0)
| ~ element(X1,esk1_0)
| ~ in(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_12]) ).
cnf(c_0_23,negated_conjecture,
( ~ in(set_intersection2(esk2_1(esk1_0),esk3_1(esk1_0)),esk1_0)
| ~ in(symmetric_difference(esk2_1(esk1_0),esk3_1(esk1_0)),esk1_0)
| ~ in(esk2_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_18]) ).
cnf(c_0_24,negated_conjecture,
( in(set_intersection2(X1,X2),esk1_0)
| ~ in(X2,esk1_0)
| ~ in(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_12]) ).
cnf(c_0_25,negated_conjecture,
( ~ in(esk2_1(esk1_0),esk1_0)
| ~ in(esk3_1(esk1_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_18]) ).
cnf(c_0_26,plain,
( preboolean(X1)
| in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,negated_conjecture,
~ in(esk2_1(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_19]) ).
cnf(c_0_28,plain,
( preboolean(X1)
| in(esk2_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU105+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n028.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 : Sun Jun 19 00:57:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40 # Preprocessing time : 0.017 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.40 # Proof object total steps : 30
% 0.22/1.40 # Proof object clause steps : 19
% 0.22/1.40 # Proof object formula steps : 11
% 0.22/1.40 # Proof object conjectures : 15
% 0.22/1.40 # Proof object clause conjectures : 12
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 9
% 0.22/1.40 # Proof object initial formulas used : 5
% 0.22/1.40 # Proof object generating inferences : 9
% 0.22/1.40 # Proof object simplifying inferences : 6
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 48
% 0.22/1.40 # Removed by relevancy pruning/SinE : 6
% 0.22/1.40 # Initial clauses : 56
% 0.22/1.40 # Removed in clause preprocessing : 2
% 0.22/1.40 # Initial clauses in saturation : 54
% 0.22/1.40 # Processed clauses : 95
% 0.22/1.40 # ...of these trivial : 7
% 0.22/1.40 # ...subsumed : 10
% 0.22/1.40 # ...remaining for further processing : 78
% 0.22/1.40 # Other redundant clauses eliminated : 0
% 0.22/1.40 # Clauses deleted for lack of memory : 0
% 0.22/1.40 # Backward-subsumed : 0
% 0.22/1.40 # Backward-rewritten : 10
% 0.22/1.40 # Generated clauses : 228
% 0.22/1.40 # ...of the previous two non-trivial : 161
% 0.22/1.40 # Contextual simplify-reflections : 1
% 0.22/1.40 # Paramodulations : 228
% 0.22/1.40 # Factorizations : 0
% 0.22/1.40 # Equation resolutions : 0
% 0.22/1.40 # Current number of processed clauses : 68
% 0.22/1.40 # Positive orientable unit clauses : 17
% 0.22/1.40 # Positive unorientable unit clauses: 2
% 0.22/1.40 # Negative unit clauses : 7
% 0.22/1.40 # Non-unit-clauses : 42
% 0.22/1.40 # Current number of unprocessed clauses: 91
% 0.22/1.40 # ...number of literals in the above : 188
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 12
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 276
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 251
% 0.22/1.40 # Non-unit clause-clause subsumptions : 8
% 0.22/1.40 # Unit Clause-clause subsumption calls : 110
% 0.22/1.40 # Rewrite failures with RHS unbound : 0
% 0.22/1.40 # BW rewrite match attempts : 21
% 0.22/1.40 # BW rewrite match successes : 19
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 5239
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.021 s
% 0.22/1.40 # System time : 0.002 s
% 0.22/1.40 # Total time : 0.023 s
% 0.22/1.40 # Maximum resident set size: 3076 pages
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 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
% 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
% 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
% 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
% 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
% 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
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------