TSTP Solution File: SWV204+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWV204+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 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 225 ( 141 equ)
% Maximal formula atoms : 66 ( 9 avg)
% Number of connectives : 249 ( 47 ~; 53 |; 136 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 9 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_0015,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,n2) )
=> a_select2(rho_defuse,X21) = use ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',quaternion_ds1_inuse_0015) ).
fof(finite_domain_2,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n2) )
=> ( X1 = n0
| X1 = n1
| X1 = n2 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',finite_domain_2) ).
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,n2) )
=> a_select2(rho_defuse,X21) = use ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0015]),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,n2)
& a_select2(rho_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,n2)
| X2 = n0
| X2 = n1
| X2 = n2 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_2])]) ).
cnf(c_0_8,plain,
( a_select2(rho_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 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
leq(esk1_0,n2),
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(rho_defuse,n0) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,plain,
a_select2(rho_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 ),
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(rho_defuse,esk1_0) != use,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,plain,
( a_select2(rho_defuse,n2) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,plain,
a_select2(rho_defuse,n0) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_9])]) ).
cnf(c_0_19,plain,
( 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(rho_defuse,n2) = use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_9])]) ).
cnf(c_0_21,plain,
n2 = esk1_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_16]) ).
cnf(c_0_22,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV204+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.32 % Computer : n029.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 16 04:39:27 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41 # Preprocessing time : 0.019 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 23
% 0.23/1.41 # Proof object clause steps : 15
% 0.23/1.41 # Proof object formula steps : 8
% 0.23/1.41 # Proof object conjectures : 8
% 0.23/1.41 # Proof object clause conjectures : 5
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 8
% 0.23/1.41 # Proof object initial formulas used : 2
% 0.23/1.41 # Proof object generating inferences : 3
% 0.23/1.41 # Proof object simplifying inferences : 12
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 92
% 0.23/1.41 # Removed by relevancy pruning/SinE : 29
% 0.23/1.41 # Initial clauses : 97
% 0.23/1.41 # Removed in clause preprocessing : 1
% 0.23/1.41 # Initial clauses in saturation : 96
% 0.23/1.41 # Processed clauses : 99
% 0.23/1.41 # ...of these trivial : 0
% 0.23/1.41 # ...subsumed : 0
% 0.23/1.41 # ...remaining for further processing : 99
% 0.23/1.41 # Other redundant clauses eliminated : 0
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 1
% 0.23/1.41 # Backward-rewritten : 25
% 0.23/1.41 # Generated clauses : 199
% 0.23/1.41 # ...of the previous two non-trivial : 188
% 0.23/1.41 # Contextual simplify-reflections : 0
% 0.23/1.41 # Paramodulations : 197
% 0.23/1.41 # Factorizations : 2
% 0.23/1.41 # Equation resolutions : 0
% 0.23/1.41 # Current number of processed clauses : 73
% 0.23/1.41 # Positive orientable unit clauses : 54
% 0.23/1.41 # Positive unorientable unit clauses: 4
% 0.23/1.41 # Negative unit clauses : 2
% 0.23/1.41 # Non-unit-clauses : 13
% 0.23/1.41 # Current number of unprocessed clauses: 103
% 0.23/1.41 # ...number of literals in the above : 233
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 27
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 28
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 11
% 0.23/1.41 # Non-unit clause-clause subsumptions : 1
% 0.23/1.41 # Unit Clause-clause subsumption calls : 1
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 12
% 0.23/1.41 # BW rewrite match successes : 10
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 6338
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.020 s
% 0.23/1.41 # System time : 0.005 s
% 0.23/1.41 # Total time : 0.025 s
% 0.23/1.41 # Maximum resident set size: 3488 pages
%------------------------------------------------------------------------------