TSTP Solution File: SWV211+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWV211+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n003.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 18:15:35 EDT 2022
% Result : Theorem 0.28s 1.46s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 361 ( 300 equ)
% Maximal formula atoms : 111 ( 27 avg)
% Number of connectives : 571 ( 223 ~; 78 |; 264 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 42 ( 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 : 20 ( 5 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0001,conjecture,
! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n5)
& leq(X18,n5) )
=> ( ( ~ ( n0 = X14
& n1 = X18 )
& ~ ( n0 = X14
& n2 = X18 )
& ~ ( n0 = X14
& n3 = X18 )
& ~ ( n0 = X14
& n4 = X18 )
& ~ ( n0 = X14
& n5 = X18 )
& ~ ( n0 = X18
& n1 = X14 )
& ~ ( n0 = X18
& n2 = X14 )
& ~ ( n0 = X18
& n3 = X14 )
& ~ ( n0 = X18
& n4 = X14 )
& ~ ( n0 = X18
& n5 = X14 )
& ~ ( n1 = X14
& n1 = X18 )
& ~ ( 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 )
& n0 = X14
& n0 = X18
& n1 = X14 )
=> n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',quaternion_ds1_symm_0001) ).
fof(c_0_1,plain,
! [X18,X14] :
( epred1_2(X14,X18)
<=> ( ~ ( n0 = X14
& n1 = X18 )
& ~ ( n0 = X14
& n2 = X18 )
& ~ ( n0 = X14
& n3 = X18 )
& ~ ( n0 = X14
& n4 = X18 )
& ~ ( n0 = X14
& n5 = X18 )
& ~ ( n0 = X18
& n1 = X14 )
& ~ ( n0 = X18
& n2 = X14 )
& ~ ( n0 = X18
& n3 = X14 )
& ~ ( n0 = X18
& n4 = X14 )
& ~ ( n0 = X18
& n5 = X14 )
& ~ ( n1 = X14
& n1 = X18 )
& ~ ( 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 )
& n0 = X14
& n0 = X18
& n1 = X14 ) ),
introduced(definition) ).
fof(c_0_2,plain,
! [X18,X14] :
( epred1_2(X14,X18)
=> ( ~ ( n0 = X14
& n1 = X18 )
& ~ ( n0 = X14
& n2 = X18 )
& ~ ( n0 = X14
& n3 = X18 )
& ~ ( n0 = X14
& n4 = X18 )
& ~ ( n0 = X14
& n5 = X18 )
& ~ ( n0 = X18
& n1 = X14 )
& ~ ( n0 = X18
& n2 = X14 )
& ~ ( n0 = X18
& n3 = X14 )
& ~ ( n0 = X18
& n4 = X14 )
& ~ ( n0 = X18
& n5 = X14 )
& ~ ( n1 = X14
& n1 = X18 )
& ~ ( 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 )
& n0 = X14
& n0 = X18
& n1 = X14 ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
fof(c_0_3,plain,
! [X19,X20] :
( ( n0 != X20
| n1 != X19
| ~ epred1_2(X20,X19) )
& ( n0 != X20
| n2 != X19
| ~ 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) )
& ( n0 != X19
| n1 != X20
| ~ epred1_2(X20,X19) )
& ( 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) )
& ( n1 != X20
| n1 != X19
| ~ 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) )
& ( 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) )
& ( n2 != X20
| n2 != X19
| ~ 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) )
& ( n2 != X19
| n3 != X20
| ~ epred1_2(X20,X19) )
& ( n2 != X19
| n4 != X20
| ~ epred1_2(X20,X19) )
& ( n2 != X19
| n5 != X20
| ~ epred1_2(X20,X19) )
& ( n3 != X20
| n3 != X19
| ~ epred1_2(X20,X19) )
& ( n3 != X20
| n4 != X19
| ~ epred1_2(X20,X19) )
& ( n3 != X20
| n5 != X19
| ~ epred1_2(X20,X19) )
& ( n3 != X19
| n4 != X20
| ~ epred1_2(X20,X19) )
& ( n3 != X19
| n5 != X20
| ~ epred1_2(X20,X19) )
& ( n4 != X20
| n4 != X19
| ~ epred1_2(X20,X19) )
& ( n4 != X20
| n5 != X19
| ~ epred1_2(X20,X19) )
& ( n4 != X19
| n5 != X20
| ~ epred1_2(X20,X19) )
& ( n5 != X20
| n5 != X19
| ~ epred1_2(X20,X19) )
& ( n0 = X20
| ~ epred1_2(X20,X19) )
& ( n0 = X19
| ~ epred1_2(X20,X19) )
& ( n1 = 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_4,negated_conjecture,
~ ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n5)
& leq(X18,n5) )
=> ( epred1_2(X14,X18)
=> n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0001]),c_0_1]) ).
cnf(c_0_5,plain,
( ~ epred1_2(X1,X2)
| n1 != X1
| n0 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( n0 = X2
| ~ epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_7,negated_conjecture,
( leq(n0,esk1_0)
& leq(n0,esk2_0)
& leq(esk1_0,n5)
& leq(esk2_0,n5)
& epred1_2(esk1_0,esk2_0)
& n0 != times(divide(n1,n400),a_select2(sigma,n0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
cnf(c_0_8,plain,
( n1 = X1
| ~ epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,plain,
( n1 != X1
| ~ epred1_2(X1,X2) ),
inference(csr,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,negated_conjecture,
epred1_2(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
~ epred1_2(X1,X2),
inference(csr,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_10,c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWV211+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.15 % Command : run_ET %s %d
% 0.15/0.37 % Computer : n003.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Thu Jun 16 01:54:41 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.28/1.46 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.28/1.46 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.28/1.46 # Preprocessing time : 0.019 s
% 0.28/1.46
% 0.28/1.46 # Proof found!
% 0.28/1.46 # SZS status Theorem
% 0.28/1.46 # SZS output start CNFRefutation
% See solution above
% 0.28/1.46 # Proof object total steps : 13
% 0.28/1.46 # Proof object clause steps : 7
% 0.28/1.46 # Proof object formula steps : 6
% 0.28/1.46 # Proof object conjectures : 5
% 0.28/1.46 # Proof object clause conjectures : 2
% 0.28/1.46 # Proof object formula conjectures : 3
% 0.28/1.46 # Proof object initial clauses used : 4
% 0.28/1.46 # Proof object initial formulas used : 1
% 0.28/1.46 # Proof object generating inferences : 0
% 0.28/1.46 # Proof object simplifying inferences : 3
% 0.28/1.46 # Training examples: 0 positive, 0 negative
% 0.28/1.46 # Parsed axioms : 92
% 0.28/1.46 # Removed by relevancy pruning/SinE : 29
% 0.28/1.46 # Initial clauses : 108
% 0.28/1.46 # Removed in clause preprocessing : 1
% 0.28/1.46 # Initial clauses in saturation : 107
% 0.28/1.46 # Processed clauses : 48
% 0.28/1.46 # ...of these trivial : 0
% 0.28/1.46 # ...subsumed : 0
% 0.28/1.46 # ...remaining for further processing : 48
% 0.28/1.46 # Other redundant clauses eliminated : 0
% 0.28/1.46 # Clauses deleted for lack of memory : 0
% 0.28/1.46 # Backward-subsumed : 0
% 0.28/1.46 # Backward-rewritten : 0
% 0.28/1.46 # Generated clauses : 40
% 0.28/1.46 # ...of the previous two non-trivial : 38
% 0.28/1.46 # Contextual simplify-reflections : 5
% 0.28/1.46 # Paramodulations : 39
% 0.28/1.46 # Factorizations : 0
% 0.28/1.46 # Equation resolutions : 0
% 0.28/1.46 # Current number of processed clauses : 47
% 0.28/1.46 # Positive orientable unit clauses : 36
% 0.28/1.46 # Positive unorientable unit clauses: 0
% 0.28/1.46 # Negative unit clauses : 3
% 0.28/1.46 # Non-unit-clauses : 8
% 0.28/1.46 # Current number of unprocessed clauses: 91
% 0.28/1.46 # ...number of literals in the above : 223
% 0.28/1.46 # Current number of archived formulas : 0
% 0.28/1.46 # Current number of archived clauses : 2
% 0.28/1.46 # Clause-clause subsumption calls (NU) : 11
% 0.28/1.46 # Rec. Clause-clause subsumption calls : 11
% 0.28/1.46 # Non-unit clause-clause subsumptions : 5
% 0.28/1.46 # Unit Clause-clause subsumption calls : 14
% 0.28/1.46 # Rewrite failures with RHS unbound : 0
% 0.28/1.46 # BW rewrite match attempts : 0
% 0.28/1.46 # BW rewrite match successes : 0
% 0.28/1.46 # Condensation attempts : 0
% 0.28/1.46 # Condensation successes : 0
% 0.28/1.46 # Termbank termtop insertions : 5036
% 0.28/1.46
% 0.28/1.46 # -------------------------------------------------
% 0.28/1.46 # User time : 0.019 s
% 0.28/1.46 # System time : 0.002 s
% 0.28/1.46 # Total time : 0.021 s
% 0.28/1.46 # Maximum resident set size: 3228 pages
%------------------------------------------------------------------------------