TSTP Solution File: SWV200+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWV200+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n011.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 18:15:33 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 247 ( 140 equ)
% Maximal formula atoms : 72 ( 16 avg)
% Number of connectives : 296 ( 64 ~; 52 |; 166 &)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 42 ( 13 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-3 aty)
% Number of variables : 24 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_inuse_0011,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
& leq(n0,pv5)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n2)
& leq(X18,pred(pv5)) )
=> a_select3(u_defuse,X14,X18) = use )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,pred(pv5)) )
=> a_select3(z_defuse,X4,X20) = use ) )
=> ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n2)
& leq(X22,pred(pv5)) )
=> ( ( ~ ( n0 = X21
& pv5 = X22 )
& ~ ( n1 = X21
& pv5 = X22 )
& ~ ( n2 = X21
& pv5 = X22 ) )
=> a_select3(u_defuse,X21,X22) = use ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',quaternion_ds1_inuse_0011) ).
fof(c_0_1,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
& leq(n0,pv5)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n2)
& leq(X18,pred(pv5)) )
=> a_select3(u_defuse,X14,X18) = use )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,pred(pv5)) )
=> a_select3(z_defuse,X4,X20) = use ) ) ),
introduced(definition) ).
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
& leq(n0,pv5)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n2)
& leq(X18,pred(pv5)) )
=> a_select3(u_defuse,X14,X18) = use )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,pred(pv5)) )
=> a_select3(z_defuse,X4,X20) = use ) ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
fof(c_0_3,negated_conjecture,
~ ( epred1_0
=> ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n2)
& leq(X22,pred(pv5)) )
=> ( ( ~ ( n0 = X21
& pv5 = X22 )
& ~ ( n1 = X21
& pv5 = X22 )
& ~ ( n2 = X21
& pv5 = X22 ) )
=> a_select3(u_defuse,X21,X22) = use ) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0011]),c_0_1]) ).
fof(c_0_4,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,pv5)
| ~ epred1_0 )
& ( leq(pv5,n998)
| ~ epred1_0 )
& ( gt(pv5,n0)
| ~ epred1_0 )
& ( ~ leq(n0,X21)
| ~ leq(n0,X22)
| ~ leq(X21,n2)
| ~ leq(X22,pred(pv5))
| a_select3(u_defuse,X21,X22) = use
| ~ epred1_0 )
& ( ~ leq(n0,X23)
| ~ leq(n0,X24)
| ~ leq(X23,n2)
| ~ leq(X24,pred(pv5))
| 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_2])])])])])]) ).
fof(c_0_5,negated_conjecture,
( epred1_0
& leq(n0,esk1_0)
& leq(n0,esk2_0)
& leq(esk1_0,n2)
& leq(esk2_0,pred(pv5))
& ( n0 != esk1_0
| pv5 != esk2_0 )
& ( n1 != esk1_0
| pv5 != esk2_0 )
& ( n2 != esk1_0
| pv5 != esk2_0 )
& a_select3(u_defuse,esk1_0,esk2_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_3])])])])]) ).
cnf(c_0_6,plain,
( a_select3(u_defuse,X1,X2) = use
| ~ epred1_0
| ~ leq(X2,pred(pv5))
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
a_select3(u_defuse,esk1_0,esk2_0) != use,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( a_select3(u_defuse,X1,X2) = use
| ~ leq(X2,pred(pv5))
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).
cnf(c_0_10,negated_conjecture,
leq(esk2_0,pred(pv5)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
leq(esk1_0,n2),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
leq(n0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
leq(n0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11]),c_0_12]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV200+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 15 23:54:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42 # Preprocessing time : 0.019 s
% 0.24/1.42
% 0.24/1.42 # Proof found!
% 0.24/1.42 # SZS status Theorem
% 0.24/1.42 # SZS output start CNFRefutation
% See solution above
% 0.24/1.42 # Proof object total steps : 15
% 0.24/1.42 # Proof object clause steps : 9
% 0.24/1.42 # Proof object formula steps : 6
% 0.24/1.42 # Proof object conjectures : 10
% 0.24/1.42 # Proof object clause conjectures : 7
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 7
% 0.24/1.42 # Proof object initial formulas used : 1
% 0.24/1.42 # Proof object generating inferences : 1
% 0.24/1.42 # Proof object simplifying inferences : 7
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 92
% 0.24/1.42 # Removed by relevancy pruning/SinE : 26
% 0.24/1.42 # Initial clauses : 109
% 0.24/1.42 # Removed in clause preprocessing : 1
% 0.24/1.42 # Initial clauses in saturation : 108
% 0.24/1.42 # Processed clauses : 84
% 0.24/1.42 # ...of these trivial : 0
% 0.24/1.42 # ...subsumed : 0
% 0.24/1.42 # ...remaining for further processing : 84
% 0.24/1.42 # Other redundant clauses eliminated : 0
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 0
% 0.24/1.42 # Backward-rewritten : 0
% 0.24/1.42 # Generated clauses : 106
% 0.24/1.42 # ...of the previous two non-trivial : 99
% 0.24/1.42 # Contextual simplify-reflections : 0
% 0.24/1.42 # Paramodulations : 106
% 0.24/1.42 # Factorizations : 0
% 0.24/1.42 # Equation resolutions : 0
% 0.24/1.42 # Current number of processed clauses : 84
% 0.24/1.42 # Positive orientable unit clauses : 70
% 0.24/1.42 # Positive unorientable unit clauses: 0
% 0.24/1.42 # Negative unit clauses : 2
% 0.24/1.42 # Non-unit-clauses : 12
% 0.24/1.42 # Current number of unprocessed clauses: 123
% 0.24/1.42 # ...number of literals in the above : 194
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 1
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 28
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 10
% 0.24/1.42 # Non-unit clause-clause subsumptions : 0
% 0.24/1.42 # Unit Clause-clause subsumption calls : 1
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 3
% 0.24/1.42 # BW rewrite match successes : 0
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 5653
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.018 s
% 0.24/1.42 # System time : 0.005 s
% 0.24/1.42 # Total time : 0.023 s
% 0.24/1.42 # Maximum resident set size: 3248 pages
%------------------------------------------------------------------------------