TSTP Solution File: SWV214+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWV214+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n012.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 : Wed Jul 20 18:15:36 EDT 2022
% Result : Theorem 0.27s 1.44s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 3 unt; 0 def)
% Number of atoms : 328 ( 271 equ)
% Maximal formula atoms : 101 ( 27 avg)
% Number of connectives : 514 ( 198 ~; 70 |; 240 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 15 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 18 ( 4 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0121,conjecture,
! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n5)
& leq(X18,n5) )
=> ( ( ~ ( n0 = X14
& n2 = X18 )
& ~ ( n0 = X14
& n3 = X18 )
& ~ ( n0 = X14
& n4 = X18 )
& ~ ( n0 = X14
& n5 = X18 )
& ~ ( n0 = X18
& n3 = X14 )
& ~ ( n0 = X18
& n4 = X14 )
& ~ ( n0 = X18
& n5 = X14 )
& ~ ( n1 = X14
& n2 = X18 )
& ~ ( n1 = X14
& n3 = X18 )
& ~ ( n1 = X14
& n4 = X18 )
& ~ ( n1 = X14
& n5 = X18 )
& ~ ( n1 = X18
& n2 = X14 )
& ~ ( n1 = X18
& n3 = X14 )
& ~ ( n1 = X18
& n4 = X14 )
& ~ ( n1 = X18
& n5 = X14 )
& ~ ( n2 = X14
& n2 = X18 )
& ~ ( n2 = X14
& n3 = X18 )
& ~ ( n2 = X14
& n4 = X18 )
& ~ ( n2 = X14
& n5 = X18 )
& ~ ( n2 = X18
& n3 = X14 )
& ~ ( n2 = X18
& n4 = X14 )
& ~ ( n2 = X18
& n5 = X14 )
& ~ ( n3 = X14
& n3 = X18 )
& ~ ( n3 = X14
& n4 = X18 )
& ~ ( n3 = X14
& n5 = X18 )
& ~ ( n3 = X18
& n4 = X14 )
& ~ ( n3 = X18
& n5 = X14 )
& ~ ( n4 = X14
& n4 = X18 )
& ~ ( n4 = X14
& n5 = X18 )
& ~ ( n4 = X18
& n5 = X14 )
& ~ ( n5 = X14
& n5 = X18 )
& n1 = X14
& n1 = X18
& n2 = X14
& n5 = X18 )
=> n0 = times(divide(n1,n400),a_select2(sigma,n1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',quaternion_ds1_symm_0121) ).
fof(c_0_1,plain,
! [X14,X18] :
( epred1_2(X18,X14)
<=> ( ~ ( n0 = X14
& n2 = X18 )
& ~ ( n0 = X14
& n3 = X18 )
& ~ ( n0 = X14
& n4 = X18 )
& ~ ( n0 = X14
& n5 = X18 )
& ~ ( n0 = X18
& n3 = X14 )
& ~ ( n0 = X18
& n4 = X14 )
& ~ ( n0 = X18
& n5 = X14 )
& ~ ( n1 = X14
& n2 = X18 )
& ~ ( n1 = X14
& n3 = X18 )
& ~ ( n1 = X14
& n4 = X18 )
& ~ ( n1 = X14
& n5 = X18 )
& ~ ( n1 = X18
& n2 = X14 )
& ~ ( n1 = X18
& n3 = X14 )
& ~ ( n1 = X18
& n4 = X14 )
& ~ ( n1 = X18
& n5 = X14 )
& ~ ( n2 = X14
& n2 = X18 )
& ~ ( n2 = X14
& n3 = X18 )
& ~ ( n2 = X14
& n4 = X18 )
& ~ ( n2 = X14
& n5 = X18 )
& ~ ( n2 = X18
& n3 = X14 )
& ~ ( n2 = X18
& n4 = X14 )
& ~ ( n2 = X18
& n5 = X14 )
& ~ ( n3 = X14
& n3 = X18 )
& ~ ( n3 = X14
& n4 = X18 )
& ~ ( n3 = X14
& n5 = X18 )
& ~ ( n3 = X18
& n4 = X14 )
& ~ ( n3 = X18
& n5 = X14 )
& ~ ( n4 = X14
& n4 = X18 )
& ~ ( n4 = X14
& n5 = X18 )
& ~ ( n4 = X18
& n5 = X14 )
& ~ ( n5 = X14
& n5 = X18 )
& n1 = X14
& n1 = X18
& n2 = X14
& n5 = X18 ) ),
introduced(definition) ).
fof(c_0_2,plain,
! [X14,X18] :
( epred1_2(X18,X14)
=> ( ~ ( n0 = X14
& n2 = X18 )
& ~ ( n0 = X14
& n3 = X18 )
& ~ ( n0 = X14
& n4 = X18 )
& ~ ( n0 = X14
& n5 = X18 )
& ~ ( n0 = X18
& n3 = X14 )
& ~ ( n0 = X18
& n4 = X14 )
& ~ ( n0 = X18
& n5 = X14 )
& ~ ( n1 = X14
& n2 = X18 )
& ~ ( n1 = X14
& n3 = X18 )
& ~ ( n1 = X14
& n4 = X18 )
& ~ ( n1 = X14
& n5 = X18 )
& ~ ( n1 = X18
& n2 = X14 )
& ~ ( n1 = X18
& n3 = X14 )
& ~ ( n1 = X18
& n4 = X14 )
& ~ ( n1 = X18
& n5 = X14 )
& ~ ( n2 = X14
& n2 = X18 )
& ~ ( n2 = X14
& n3 = X18 )
& ~ ( n2 = X14
& n4 = X18 )
& ~ ( n2 = X14
& n5 = X18 )
& ~ ( n2 = X18
& n3 = X14 )
& ~ ( n2 = X18
& n4 = X14 )
& ~ ( n2 = X18
& n5 = X14 )
& ~ ( n3 = X14
& n3 = X18 )
& ~ ( n3 = X14
& n4 = X18 )
& ~ ( n3 = X14
& n5 = X18 )
& ~ ( n3 = X18
& n4 = X14 )
& ~ ( n3 = X18
& n5 = X14 )
& ~ ( n4 = X14
& n4 = X18 )
& ~ ( n4 = X14
& n5 = X18 )
& ~ ( n4 = X18
& n5 = X14 )
& ~ ( n5 = X14
& n5 = X18 )
& n1 = X14
& n1 = X18
& n2 = X14
& n5 = X18 ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
fof(c_0_3,negated_conjecture,
~ ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n5)
& leq(X18,n5) )
=> ( epred1_2(X18,X14)
=> n0 = times(divide(n1,n400),a_select2(sigma,n1)) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0121]),c_0_1]) ).
fof(c_0_4,plain,
! [X19,X20] :
( ( n0 != X19
| n2 != X20
| ~ epred1_2(X20,X19) )
& ( n0 != X19
| n3 != X20
| ~ epred1_2(X20,X19) )
& ( n0 != X19
| n4 != X20
| ~ epred1_2(X20,X19) )
& ( n0 != X19
| n5 != X20
| ~ epred1_2(X20,X19) )
& ( n0 != X20
| n3 != X19
| ~ epred1_2(X20,X19) )
& ( n0 != X20
| n4 != X19
| ~ epred1_2(X20,X19) )
& ( n0 != X20
| n5 != X19
| ~ epred1_2(X20,X19) )
& ( n1 != X19
| n2 != X20
| ~ epred1_2(X20,X19) )
& ( n1 != X19
| n3 != X20
| ~ epred1_2(X20,X19) )
& ( n1 != X19
| n4 != X20
| ~ epred1_2(X20,X19) )
& ( n1 != X19
| n5 != X20
| ~ epred1_2(X20,X19) )
& ( n1 != X20
| n2 != X19
| ~ epred1_2(X20,X19) )
& ( n1 != X20
| n3 != X19
| ~ epred1_2(X20,X19) )
& ( n1 != X20
| n4 != X19
| ~ epred1_2(X20,X19) )
& ( n1 != X20
| n5 != X19
| ~ epred1_2(X20,X19) )
& ( n2 != X19
| n2 != X20
| ~ epred1_2(X20,X19) )
& ( n2 != X19
| n3 != X20
| ~ epred1_2(X20,X19) )
& ( n2 != X19
| n4 != X20
| ~ epred1_2(X20,X19) )
& ( n2 != X19
| n5 != X20
| ~ epred1_2(X20,X19) )
& ( n2 != X20
| n3 != X19
| ~ epred1_2(X20,X19) )
& ( n2 != X20
| n4 != X19
| ~ epred1_2(X20,X19) )
& ( n2 != X20
| n5 != X19
| ~ epred1_2(X20,X19) )
& ( n3 != X19
| n3 != X20
| ~ epred1_2(X20,X19) )
& ( n3 != X19
| n4 != X20
| ~ epred1_2(X20,X19) )
& ( n3 != X19
| n5 != X20
| ~ epred1_2(X20,X19) )
& ( n3 != X20
| n4 != X19
| ~ epred1_2(X20,X19) )
& ( n3 != X20
| n5 != X19
| ~ epred1_2(X20,X19) )
& ( n4 != X19
| n4 != X20
| ~ epred1_2(X20,X19) )
& ( n4 != X19
| n5 != X20
| ~ epred1_2(X20,X19) )
& ( n4 != X20
| n5 != X19
| ~ epred1_2(X20,X19) )
& ( n5 != X19
| n5 != X20
| ~ epred1_2(X20,X19) )
& ( n1 = X19
| ~ epred1_2(X20,X19) )
& ( n1 = X20
| ~ epred1_2(X20,X19) )
& ( n2 = X19
| ~ epred1_2(X20,X19) )
& ( n5 = X20
| ~ epred1_2(X20,X19) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
fof(c_0_5,negated_conjecture,
( leq(n0,esk1_0)
& leq(n0,esk2_0)
& leq(esk1_0,n5)
& leq(esk2_0,n5)
& epred1_2(esk2_0,esk1_0)
& n0 != times(divide(n1,n400),a_select2(sigma,n1)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_6,plain,
( ~ epred1_2(X1,X2)
| n5 != X1
| n1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( n5 = X1
| ~ epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( n1 = X2
| ~ epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
epred1_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
~ epred1_2(X1,X2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_9,c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV214+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.14 % Command : run_ET %s %d
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 15 06:59:55 EDT 2022
% 0.14/0.35 % 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 : 0.020 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 : 12
% 0.27/1.44 # Proof object clause steps : 6
% 0.27/1.44 # Proof object formula steps : 6
% 0.27/1.44 # Proof object conjectures : 5
% 0.27/1.44 # Proof object clause conjectures : 2
% 0.27/1.44 # Proof object formula conjectures : 3
% 0.27/1.44 # Proof object initial clauses used : 4
% 0.27/1.44 # Proof object initial formulas used : 1
% 0.27/1.44 # Proof object generating inferences : 0
% 0.27/1.44 # Proof object simplifying inferences : 3
% 0.27/1.44 # Training examples: 0 positive, 0 negative
% 0.27/1.44 # Parsed axioms : 92
% 0.27/1.44 # Removed by relevancy pruning/SinE : 29
% 0.27/1.44 # Initial clauses : 105
% 0.27/1.44 # Removed in clause preprocessing : 1
% 0.27/1.44 # Initial clauses in saturation : 104
% 0.27/1.44 # Processed clauses : 66
% 0.27/1.44 # ...of these trivial : 0
% 0.27/1.44 # ...subsumed : 0
% 0.27/1.44 # ...remaining for further processing : 66
% 0.27/1.44 # Other redundant clauses eliminated : 0
% 0.27/1.44 # Clauses deleted for lack of memory : 0
% 0.27/1.44 # Backward-subsumed : 3
% 0.27/1.44 # Backward-rewritten : 0
% 0.27/1.44 # Generated clauses : 70
% 0.27/1.44 # ...of the previous two non-trivial : 56
% 0.27/1.44 # Contextual simplify-reflections : 5
% 0.27/1.44 # Paramodulations : 67
% 0.27/1.44 # Factorizations : 2
% 0.27/1.44 # Equation resolutions : 0
% 0.27/1.44 # Current number of processed clauses : 62
% 0.27/1.44 # Positive orientable unit clauses : 41
% 0.27/1.44 # Positive unorientable unit clauses: 2
% 0.27/1.44 # Negative unit clauses : 3
% 0.27/1.44 # Non-unit-clauses : 16
% 0.27/1.44 # Current number of unprocessed clauses: 80
% 0.27/1.44 # ...number of literals in the above : 190
% 0.27/1.44 # Current number of archived formulas : 0
% 0.27/1.44 # Current number of archived clauses : 5
% 0.27/1.44 # Clause-clause subsumption calls (NU) : 24
% 0.27/1.44 # Rec. Clause-clause subsumption calls : 24
% 0.27/1.44 # Non-unit clause-clause subsumptions : 8
% 0.27/1.44 # Unit Clause-clause subsumption calls : 21
% 0.27/1.44 # Rewrite failures with RHS unbound : 0
% 0.27/1.44 # BW rewrite match attempts : 8
% 0.27/1.44 # BW rewrite match successes : 8
% 0.27/1.44 # Condensation attempts : 0
% 0.27/1.44 # Condensation successes : 0
% 0.27/1.44 # Termbank termtop insertions : 5244
% 0.27/1.44
% 0.27/1.44 # -------------------------------------------------
% 0.27/1.44 # User time : 0.020 s
% 0.27/1.44 # System time : 0.003 s
% 0.27/1.44 # Total time : 0.023 s
% 0.27/1.44 # Maximum resident set size: 3224 pages
%------------------------------------------------------------------------------