TSTP Solution File: SWV200+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWV200+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.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 19:56:20 EDT 2023
% Result : Theorem 0.15s 0.47s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 250 ( 141 equ)
% Maximal formula atoms : 72 ( 15 avg)
% Number of connectives : 300 ( 66 ~; 54 |; 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 : 25 ( 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/sandbox/tmp/tmp.V39IOcTraA/E---3.1_8341.p',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,
! [X73,X74,X75,X76] :
( ( 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,X73)
| ~ leq(n0,X74)
| ~ leq(X73,n2)
| ~ leq(X74,pred(pv5))
| a_select3(u_defuse,X73,X74) = use
| ~ epred1_0 )
& ( ~ leq(n0,X75)
| ~ leq(n0,X76)
| ~ leq(X75,n2)
| ~ leq(X76,pred(pv5))
| a_select3(z_defuse,X75,X76) = use
| ~ epred1_0 ) ),
inference(distribute,[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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_6,plain,
( a_select3(u_defuse,X1,X2) = use
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,n2)
| ~ leq(X2,pred(pv5))
| ~ epred1_0 ),
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,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_9,negated_conjecture,
leq(esk1_0,n2),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
leq(n0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
( a_select3(u_defuse,esk1_0,X1) = use
| ~ leq(X1,pred(pv5))
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).
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(esk2_0,pred(pv5)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
a_select3(u_defuse,esk1_0,esk2_0) != use,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SWV200+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n016.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Oct 3 04:55:22 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.15/0.42 Running first-order model finding
% 0.15/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.V39IOcTraA/E---3.1_8341.p
% 0.15/0.47 # Version: 3.1pre001
% 0.15/0.47 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.47 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.47 # Starting sh5l with 300s (1) cores
% 0.15/0.47 # new_bool_3 with pid 8419 completed with status 0
% 0.15/0.47 # Result found by new_bool_3
% 0.15/0.47 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.47 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.47 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.47 # Search class: FGHSM-FFMM31-MFFFFFNN
% 0.15/0.47 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.47 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.15/0.47 # G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with pid 8422 completed with status 0
% 0.15/0.47 # Result found by G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S
% 0.15/0.47 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.47 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.47 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.47 # Search class: FGHSM-FFMM31-MFFFFFNN
% 0.15/0.47 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.47 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.15/0.47 # Preprocessing time : 0.003 s
% 0.15/0.47 # Presaturation interreduction done
% 0.15/0.47
% 0.15/0.47 # Proof found!
% 0.15/0.47 # SZS status Theorem
% 0.15/0.47 # SZS output start CNFRefutation
% See solution above
% 0.15/0.47 # Parsed axioms : 92
% 0.15/0.47 # Removed by relevancy pruning/SinE : 26
% 0.15/0.47 # Initial clauses : 109
% 0.15/0.47 # Removed in clause preprocessing : 0
% 0.15/0.47 # Initial clauses in saturation : 109
% 0.15/0.47 # Processed clauses : 675
% 0.15/0.47 # ...of these trivial : 69
% 0.15/0.47 # ...subsumed : 93
% 0.15/0.47 # ...remaining for further processing : 513
% 0.15/0.47 # Other redundant clauses eliminated : 0
% 0.15/0.47 # Clauses deleted for lack of memory : 0
% 0.15/0.47 # Backward-subsumed : 4
% 0.15/0.47 # Backward-rewritten : 0
% 0.15/0.47 # Generated clauses : 2306
% 0.15/0.47 # ...of the previous two non-redundant : 1420
% 0.15/0.47 # ...aggressively subsumed : 0
% 0.15/0.47 # Contextual simplify-reflections : 2
% 0.15/0.47 # Paramodulations : 2302
% 0.15/0.47 # Factorizations : 4
% 0.15/0.47 # NegExts : 0
% 0.15/0.47 # Equation resolutions : 0
% 0.15/0.47 # Total rewrite steps : 1783
% 0.15/0.47 # Propositional unsat checks : 0
% 0.15/0.47 # Propositional check models : 0
% 0.15/0.47 # Propositional check unsatisfiable : 0
% 0.15/0.47 # Propositional clauses : 0
% 0.15/0.47 # Propositional clauses after purity: 0
% 0.15/0.47 # Propositional unsat core size : 0
% 0.15/0.47 # Propositional preprocessing time : 0.000
% 0.15/0.47 # Propositional encoding time : 0.000
% 0.15/0.47 # Propositional solver time : 0.000
% 0.15/0.47 # Success case prop preproc time : 0.000
% 0.15/0.47 # Success case prop encoding time : 0.000
% 0.15/0.47 # Success case prop solver time : 0.000
% 0.15/0.47 # Current number of processed clauses : 400
% 0.15/0.47 # Positive orientable unit clauses : 249
% 0.15/0.47 # Positive unorientable unit clauses: 0
% 0.15/0.47 # Negative unit clauses : 3
% 0.15/0.47 # Non-unit-clauses : 148
% 0.15/0.47 # Current number of unprocessed clauses: 958
% 0.15/0.47 # ...number of literals in the above : 1876
% 0.15/0.47 # Current number of archived formulas : 0
% 0.15/0.47 # Current number of archived clauses : 113
% 0.15/0.47 # Clause-clause subsumption calls (NU) : 1483
% 0.15/0.47 # Rec. Clause-clause subsumption calls : 1132
% 0.15/0.47 # Non-unit clause-clause subsumptions : 95
% 0.15/0.47 # Unit Clause-clause subsumption calls : 1279
% 0.15/0.47 # Rewrite failures with RHS unbound : 0
% 0.15/0.47 # BW rewrite match attempts : 34
% 0.15/0.47 # BW rewrite match successes : 1
% 0.15/0.47 # Condensation attempts : 0
% 0.15/0.47 # Condensation successes : 0
% 0.15/0.47 # Termbank termtop insertions : 25200
% 0.15/0.47
% 0.15/0.47 # -------------------------------------------------
% 0.15/0.47 # User time : 0.029 s
% 0.15/0.47 # System time : 0.007 s
% 0.15/0.47 # Total time : 0.036 s
% 0.15/0.47 # Maximum resident set size: 2088 pages
% 0.15/0.47
% 0.15/0.47 # -------------------------------------------------
% 0.15/0.47 # User time : 0.030 s
% 0.15/0.47 # System time : 0.010 s
% 0.15/0.47 # Total time : 0.040 s
% 0.15/0.47 # Maximum resident set size: 1808 pages
% 0.15/0.47 % E---3.1 exiting
%------------------------------------------------------------------------------