TSTP Solution File: SWV205+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWV205+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 18:15:34 EDT 2022
% Result : Theorem 0.28s 1.45s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 32 ( 12 unt; 0 def)
% Number of atoms : 258 ( 171 equ)
% Maximal formula atoms : 66 ( 8 avg)
% Number of connectives : 276 ( 50 ~; 77 |; 136 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-3 aty)
% Number of variables : 21 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_inuse_0016,conjecture,
( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n2)
& leq(X18,n998) )
=> a_select3(u_defuse,X14,X18) = use )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,n998) )
=> a_select3(z_defuse,X4,X20) = use ) )
=> ! [X21] :
( ( leq(n0,X21)
& leq(X21,n5) )
=> a_select2(sigma_defuse,X21) = use ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',quaternion_ds1_inuse_0016) ).
fof(finite_domain_5,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n5) )
=> ( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| X1 = n4
| X1 = n5 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',finite_domain_5) ).
fof(c_0_2,plain,
( epred1_0
<=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n2)
& leq(X18,n998) )
=> a_select3(u_defuse,X14,X18) = use )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,n998) )
=> a_select3(z_defuse,X4,X20) = use ) ) ),
introduced(definition) ).
fof(c_0_3,plain,
( epred1_0
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n2)
& leq(X18,n998) )
=> a_select3(u_defuse,X14,X18) = use )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,n998) )
=> a_select3(z_defuse,X4,X20) = use ) ) ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
fof(c_0_4,negated_conjecture,
~ ( epred1_0
=> ! [X21] :
( ( leq(n0,X21)
& leq(X21,n5) )
=> a_select2(sigma_defuse,X21) = use ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0016]),c_0_2]) ).
fof(c_0_5,plain,
! [X21,X22,X23,X24] :
( ( a_select2(rho_defuse,n0) = use
| ~ epred1_0 )
& ( a_select2(rho_defuse,n1) = use
| ~ epred1_0 )
& ( a_select2(rho_defuse,n2) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n0) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n1) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n2) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n3) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n4) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n5) = use
| ~ epred1_0 )
& ( a_select3(u_defuse,n0,n0) = use
| ~ epred1_0 )
& ( a_select3(u_defuse,n1,n0) = use
| ~ epred1_0 )
& ( a_select3(u_defuse,n2,n0) = use
| ~ epred1_0 )
& ( a_select2(xinit_defuse,n3) = use
| ~ epred1_0 )
& ( a_select2(xinit_defuse,n4) = use
| ~ epred1_0 )
& ( a_select2(xinit_defuse,n5) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n0) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n1) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n2) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n3) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n4) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n5) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n0) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n1) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n2) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n3) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n4) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n5) = use
| ~ epred1_0 )
& ( ~ leq(n0,X21)
| ~ leq(n0,X22)
| ~ leq(X21,n2)
| ~ leq(X22,n998)
| a_select3(u_defuse,X21,X22) = use
| ~ epred1_0 )
& ( ~ leq(n0,X23)
| ~ leq(n0,X24)
| ~ leq(X23,n2)
| ~ leq(X24,n998)
| a_select3(z_defuse,X23,X24) = use
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])]) ).
fof(c_0_6,negated_conjecture,
( epred1_0
& leq(n0,esk1_0)
& leq(esk1_0,n5)
& a_select2(sigma_defuse,esk1_0) != use ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).
fof(c_0_7,plain,
! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n5)
| X2 = n0
| X2 = n1
| X2 = n2
| X2 = n3
| X2 = n4
| X2 = n5 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_5])]) ).
cnf(c_0_8,plain,
( a_select2(sigma_defuse,n1) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( X1 = n5
| X1 = n4
| X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n5)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
leq(esk1_0,n5),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
leq(n0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,plain,
( a_select2(sigma_defuse,n0) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,plain,
a_select2(sigma_defuse,n1) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]) ).
cnf(c_0_15,negated_conjecture,
( n0 = esk1_0
| n1 = esk1_0
| n2 = esk1_0
| n3 = esk1_0
| n4 = esk1_0
| n5 = esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
cnf(c_0_16,negated_conjecture,
a_select2(sigma_defuse,esk1_0) != use,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,plain,
( a_select2(sigma_defuse,n2) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,plain,
a_select2(sigma_defuse,n0) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_9])]) ).
cnf(c_0_19,plain,
( n5 = esk1_0
| n4 = esk1_0
| n3 = esk1_0
| n2 = esk1_0
| n0 = esk1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_20,plain,
( a_select2(sigma_defuse,n3) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_21,plain,
a_select2(sigma_defuse,n2) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_9])]) ).
cnf(c_0_22,plain,
( n2 = esk1_0
| n3 = esk1_0
| n4 = esk1_0
| n5 = esk1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_16]) ).
cnf(c_0_23,plain,
( a_select2(sigma_defuse,n5) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_24,plain,
a_select2(sigma_defuse,n3) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_9])]) ).
cnf(c_0_25,plain,
( n5 = esk1_0
| n4 = esk1_0
| n3 = esk1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_16]) ).
cnf(c_0_26,plain,
( a_select2(sigma_defuse,n4) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_27,plain,
a_select2(sigma_defuse,n5) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_9])]) ).
cnf(c_0_28,plain,
( n4 = esk1_0
| n5 = esk1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_16]) ).
cnf(c_0_29,plain,
a_select2(sigma_defuse,n4) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_9])]) ).
cnf(c_0_30,plain,
n4 = esk1_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_16]) ).
cnf(c_0_31,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV205+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.08/0.14 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jun 15 23:49:42 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.28/1.45 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.28/1.45 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.28/1.45 # Preprocessing time : 0.019 s
% 0.28/1.45
% 0.28/1.45 # Proof found!
% 0.28/1.45 # SZS status Theorem
% 0.28/1.45 # SZS output start CNFRefutation
% See solution above
% 0.28/1.46 # Proof object total steps : 32
% 0.28/1.46 # Proof object clause steps : 24
% 0.28/1.46 # Proof object formula steps : 8
% 0.28/1.46 # Proof object conjectures : 8
% 0.28/1.46 # Proof object clause conjectures : 5
% 0.28/1.46 # Proof object formula conjectures : 3
% 0.28/1.46 # Proof object initial clauses used : 11
% 0.28/1.46 # Proof object initial formulas used : 2
% 0.28/1.46 # Proof object generating inferences : 6
% 0.28/1.46 # Proof object simplifying inferences : 21
% 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 : 97
% 0.28/1.46 # Removed in clause preprocessing : 1
% 0.28/1.46 # Initial clauses in saturation : 96
% 0.28/1.46 # Processed clauses : 108
% 0.28/1.46 # ...of these trivial : 0
% 0.28/1.46 # ...subsumed : 0
% 0.28/1.46 # ...remaining for further processing : 108
% 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 : 4
% 0.28/1.46 # Backward-rewritten : 20
% 0.28/1.46 # Generated clauses : 272
% 0.28/1.46 # ...of the previous two non-trivial : 246
% 0.28/1.46 # Contextual simplify-reflections : 0
% 0.28/1.46 # Paramodulations : 270
% 0.28/1.46 # Factorizations : 2
% 0.28/1.46 # Equation resolutions : 0
% 0.28/1.46 # Current number of processed clauses : 84
% 0.28/1.46 # Positive orientable unit clauses : 58
% 0.28/1.46 # Positive unorientable unit clauses: 3
% 0.28/1.46 # Negative unit clauses : 3
% 0.28/1.46 # Non-unit-clauses : 20
% 0.28/1.46 # Current number of unprocessed clauses: 113
% 0.28/1.46 # ...number of literals in the above : 254
% 0.28/1.46 # Current number of archived formulas : 0
% 0.28/1.46 # Current number of archived clauses : 25
% 0.28/1.46 # Clause-clause subsumption calls (NU) : 31
% 0.28/1.46 # Rec. Clause-clause subsumption calls : 14
% 0.28/1.46 # Non-unit clause-clause subsumptions : 4
% 0.28/1.46 # Unit Clause-clause subsumption calls : 3
% 0.28/1.46 # Rewrite failures with RHS unbound : 0
% 0.28/1.46 # BW rewrite match attempts : 12
% 0.28/1.46 # BW rewrite match successes : 10
% 0.28/1.46 # Condensation attempts : 0
% 0.28/1.46 # Condensation successes : 0
% 0.28/1.46 # Termbank termtop insertions : 6761
% 0.28/1.46
% 0.28/1.46 # -------------------------------------------------
% 0.28/1.46 # User time : 0.025 s
% 0.28/1.46 # System time : 0.001 s
% 0.28/1.46 # Total time : 0.026 s
% 0.28/1.46 # Maximum resident set size: 3488 pages
%------------------------------------------------------------------------------