TSTP Solution File: SWV220+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWV220+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:43:45 EDT 2023
% Result : Theorem 0.15s 0.43s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 3 unt; 0 def)
% Number of atoms : 184 ( 143 equ)
% Maximal formula atoms : 53 ( 15 avg)
% Number of connectives : 274 ( 102 ~; 38 |; 128 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 10 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_0361,conjecture,
! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n5)
& leq(X18,n5) )
=> ( ( ~ ( n0 = X18
& n4 = X14 )
& ~ ( n0 = X18
& n5 = X14 )
& ~ ( n1 = X18
& n4 = X14 )
& ~ ( n1 = X18
& n5 = X14 )
& ~ ( n2 = X14
& n5 = X18 )
& ~ ( n2 = X18
& n4 = X14 )
& ~ ( n2 = X18
& n5 = X14 )
& ~ ( 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
& n3 = X14
& n3 = X18
& n5 = X18 )
=> times(divide(n1,n400),a_select2(sigma,n3)) = n0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.UMvJdVeSgA/E---3.1_5620.p',quaternion_ds1_symm_0361) ).
fof(c_0_1,plain,
! [X14,X18] :
( epred1_2(X18,X14)
<=> ( ~ ( n0 = X18
& n4 = X14 )
& ~ ( n0 = X18
& n5 = X14 )
& ~ ( n1 = X18
& n4 = X14 )
& ~ ( n1 = X18
& n5 = X14 )
& ~ ( n2 = X14
& n5 = X18 )
& ~ ( n2 = X18
& n4 = X14 )
& ~ ( n2 = X18
& n5 = X14 )
& ~ ( 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
& n3 = X14
& n3 = X18
& n5 = X18 ) ),
introduced(definition) ).
fof(c_0_2,plain,
! [X14,X18] :
( epred1_2(X18,X14)
=> ( ~ ( n0 = X18
& n4 = X14 )
& ~ ( n0 = X18
& n5 = X14 )
& ~ ( n1 = X18
& n4 = X14 )
& ~ ( n1 = X18
& n5 = X14 )
& ~ ( n2 = X14
& n5 = X18 )
& ~ ( n2 = X18
& n4 = X14 )
& ~ ( n2 = X18
& n5 = X14 )
& ~ ( 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
& n3 = X14
& n3 = X18
& 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)
=> times(divide(n1,n400),a_select2(sigma,n3)) = n0 ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0361]),c_0_1]) ).
fof(c_0_4,plain,
! [X69,X70] :
( ( n0 != X70
| n4 != X69
| ~ epred1_2(X70,X69) )
& ( n0 != X70
| n5 != X69
| ~ epred1_2(X70,X69) )
& ( n1 != X70
| n4 != X69
| ~ epred1_2(X70,X69) )
& ( n1 != X70
| n5 != X69
| ~ epred1_2(X70,X69) )
& ( n2 != X69
| n5 != X70
| ~ epred1_2(X70,X69) )
& ( n2 != X70
| n4 != X69
| ~ epred1_2(X70,X69) )
& ( n2 != X70
| n5 != X69
| ~ epred1_2(X70,X69) )
& ( n3 != X69
| n4 != X70
| ~ epred1_2(X70,X69) )
& ( n3 != X69
| n5 != X70
| ~ epred1_2(X70,X69) )
& ( n3 != X70
| n4 != X69
| ~ epred1_2(X70,X69) )
& ( n3 != X70
| n5 != X69
| ~ epred1_2(X70,X69) )
& ( n4 != X69
| n4 != X70
| ~ epred1_2(X70,X69) )
& ( n4 != X69
| n5 != X70
| ~ epred1_2(X70,X69) )
& ( n4 != X70
| n5 != X69
| ~ epred1_2(X70,X69) )
& ( n5 != X69
| n5 != X70
| ~ epred1_2(X70,X69) )
& ( n1 = X69
| ~ epred1_2(X70,X69) )
& ( n3 = X69
| ~ epred1_2(X70,X69) )
& ( n3 = X70
| ~ epred1_2(X70,X69) )
& ( n5 = X70
| ~ epred1_2(X70,X69) ) ),
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)
& times(divide(n1,n400),a_select2(sigma,n3)) != n0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_6,plain,
( n3 != X1
| n5 != X2
| ~ epred1_2(X2,X1) ),
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,
( n3 = X1
| ~ epred1_2(X2,X1) ),
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
% 0.07/0.10 % Problem : SWV220+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n012.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Oct 3 03:21:50 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.UMvJdVeSgA/E---3.1_5620.p
% 0.15/0.43 # Version: 3.1pre001
% 0.15/0.43 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 # Starting sh5l with 300s (1) cores
% 0.15/0.43 # new_bool_1 with pid 5702 completed with status 0
% 0.15/0.43 # Result found by new_bool_1
% 0.15/0.43 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.43 # Search class: FGHSM-FFMM21-MFFFFFNN
% 0.15/0.43 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 181s (1) cores
% 0.15/0.43 # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with pid 5705 completed with status 0
% 0.15/0.43 # Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 0.15/0.43 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.43 # Search class: FGHSM-FFMM21-MFFFFFNN
% 0.15/0.43 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 181s (1) cores
% 0.15/0.43 # Preprocessing time : 0.001 s
% 0.15/0.43 # Presaturation interreduction done
% 0.15/0.43
% 0.15/0.43 # Proof found!
% 0.15/0.43 # SZS status Theorem
% 0.15/0.43 # SZS output start CNFRefutation
% See solution above
% 0.15/0.43 # Parsed axioms : 92
% 0.15/0.43 # Removed by relevancy pruning/SinE : 29
% 0.15/0.43 # Initial clauses : 89
% 0.15/0.43 # Removed in clause preprocessing : 0
% 0.15/0.43 # Initial clauses in saturation : 89
% 0.15/0.43 # Processed clauses : 57
% 0.15/0.43 # ...of these trivial : 0
% 0.15/0.43 # ...subsumed : 0
% 0.15/0.43 # ...remaining for further processing : 57
% 0.15/0.43 # Other redundant clauses eliminated : 13
% 0.15/0.43 # Clauses deleted for lack of memory : 0
% 0.15/0.43 # Backward-subsumed : 11
% 0.15/0.43 # Backward-rewritten : 0
% 0.15/0.43 # Generated clauses : 8
% 0.15/0.43 # ...of the previous two non-redundant : 7
% 0.15/0.43 # ...aggressively subsumed : 0
% 0.15/0.43 # Contextual simplify-reflections : 3
% 0.15/0.43 # Paramodulations : 0
% 0.15/0.43 # Factorizations : 0
% 0.15/0.43 # NegExts : 0
% 0.15/0.43 # Equation resolutions : 13
% 0.15/0.43 # Total rewrite steps : 1
% 0.15/0.43 # Propositional unsat checks : 0
% 0.15/0.43 # Propositional check models : 0
% 0.15/0.43 # Propositional check unsatisfiable : 0
% 0.15/0.43 # Propositional clauses : 0
% 0.15/0.43 # Propositional clauses after purity: 0
% 0.15/0.43 # Propositional unsat core size : 0
% 0.15/0.43 # Propositional preprocessing time : 0.000
% 0.15/0.43 # Propositional encoding time : 0.000
% 0.15/0.43 # Propositional solver time : 0.000
% 0.15/0.43 # Success case prop preproc time : 0.000
% 0.15/0.43 # Success case prop encoding time : 0.000
% 0.15/0.43 # Success case prop solver time : 0.000
% 0.15/0.43 # Current number of processed clauses : 38
% 0.15/0.43 # Positive orientable unit clauses : 35
% 0.15/0.43 # Positive unorientable unit clauses: 0
% 0.15/0.43 # Negative unit clauses : 3
% 0.15/0.43 # Non-unit-clauses : 0
% 0.15/0.43 # Current number of unprocessed clauses: 39
% 0.15/0.43 # ...number of literals in the above : 95
% 0.15/0.43 # Current number of archived formulas : 0
% 0.15/0.43 # Current number of archived clauses : 12
% 0.15/0.43 # Clause-clause subsumption calls (NU) : 11
% 0.15/0.43 # Rec. Clause-clause subsumption calls : 11
% 0.15/0.43 # Non-unit clause-clause subsumptions : 3
% 0.15/0.43 # Unit Clause-clause subsumption calls : 24
% 0.15/0.43 # Rewrite failures with RHS unbound : 0
% 0.15/0.43 # BW rewrite match attempts : 4
% 0.15/0.43 # BW rewrite match successes : 0
% 0.15/0.43 # Condensation attempts : 0
% 0.15/0.43 # Condensation successes : 0
% 0.15/0.43 # Termbank termtop insertions : 3728
% 0.15/0.43
% 0.15/0.43 # -------------------------------------------------
% 0.15/0.43 # User time : 0.003 s
% 0.15/0.43 # System time : 0.003 s
% 0.15/0.43 # Total time : 0.007 s
% 0.15/0.43 # Maximum resident set size: 1932 pages
% 0.15/0.43
% 0.15/0.43 # -------------------------------------------------
% 0.15/0.43 # User time : 0.005 s
% 0.15/0.43 # System time : 0.006 s
% 0.15/0.43 # Total time : 0.011 s
% 0.15/0.43 # Maximum resident set size: 1800 pages
% 0.15/0.43 % E---3.1 exiting
% 0.15/0.43 % E---3.1 exiting
%------------------------------------------------------------------------------