TSTP Solution File: SWV161+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWV161+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 19:56:14 EDT 2023
% Result : Theorem 0.17s 0.46s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 57 ( 17 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 54 ( 15 ~; 13 |; 18 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 20 ( 0 sgn; 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_norm_0011,conjecture,
( ( sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) = n1
& leq(n0,pv10)
& leq(pv10,n135299)
& ! [X14] :
( ( leq(n0,X14)
& leq(X14,pred(pv10)) )
=> sum(n0,n4,a_select3(q,X14,tptp_sum_index)) = n1 ) )
=> ! [X18] :
( ( leq(n0,X18)
& leq(X18,pv10) )
=> sum(n0,n4,a_select3(q,X18,tptp_sum_index)) = n1 ) ),
file('/export/starexec/sandbox/tmp/tmp.nC07PEZOb7/E---3.1_917.p',cl5_nebula_norm_0011) ).
fof(leq_gt_pred,axiom,
! [X1,X2] :
( leq(X1,pred(X2))
<=> gt(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.nC07PEZOb7/E---3.1_917.p',leq_gt_pred) ).
fof(leq_gt2,axiom,
! [X1,X2] :
( ( leq(X1,X2)
& X1 != X2 )
=> gt(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.nC07PEZOb7/E---3.1_917.p',leq_gt2) ).
fof(c_0_3,negated_conjecture,
~ ( ( sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) = n1
& leq(n0,pv10)
& leq(pv10,n135299)
& ! [X14] :
( ( leq(n0,X14)
& leq(X14,pred(pv10)) )
=> sum(n0,n4,a_select3(q,X14,tptp_sum_index)) = n1 ) )
=> ! [X18] :
( ( leq(n0,X18)
& leq(X18,pv10) )
=> sum(n0,n4,a_select3(q,X18,tptp_sum_index)) = n1 ) ),
inference(assume_negation,[status(cth)],[cl5_nebula_norm_0011]) ).
fof(c_0_4,negated_conjecture,
! [X28] :
( sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) = n1
& leq(n0,pv10)
& leq(pv10,n135299)
& ( ~ leq(n0,X28)
| ~ leq(X28,pred(pv10))
| sum(n0,n4,a_select3(q,X28,tptp_sum_index)) = n1 )
& leq(n0,esk1_0)
& leq(esk1_0,pv10)
& sum(n0,n4,a_select3(q,esk1_0,tptp_sum_index)) != n1 ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
fof(c_0_5,plain,
! [X55,X56] :
( ( ~ leq(X55,pred(X56))
| gt(X56,X55) )
& ( ~ gt(X56,X55)
| leq(X55,pred(X56)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt_pred])]) ).
fof(c_0_6,plain,
! [X45,X46] :
( ~ leq(X45,X46)
| X45 = X46
| gt(X46,X45) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt2])]) ).
cnf(c_0_7,negated_conjecture,
sum(n0,n4,a_select3(q,esk1_0,tptp_sum_index)) != n1,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
( sum(n0,n4,a_select3(q,X1,tptp_sum_index)) = n1
| ~ leq(n0,X1)
| ~ leq(X1,pred(pv10)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
leq(n0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
( leq(X2,pred(X1))
| ~ gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( X1 = X2
| gt(X2,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
~ leq(esk1_0,pred(pv10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).
cnf(c_0_13,plain,
( X1 = X2
| leq(X1,pred(X2))
| ~ leq(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
leq(esk1_0,pv10),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,negated_conjecture,
esk1_0 = pv10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_16,negated_conjecture,
sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) = n1,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_15]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SWV161+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.02/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n026.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Oct 3 04:55:29 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order model finding
% 0.17/0.43 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.nC07PEZOb7/E---3.1_917.p
% 0.17/0.46 # Version: 3.1pre001
% 0.17/0.46 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.46 # Starting sh5l with 300s (1) cores
% 0.17/0.46 # new_bool_3 with pid 1008 completed with status 0
% 0.17/0.46 # Result found by new_bool_3
% 0.17/0.46 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.46 # Search class: FGUSM-FFMM32-MFFFFFNN
% 0.17/0.46 # partial match(1): FGHSM-FFMM32-MFFFFFNN
% 0.17/0.46 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.46 # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 127s (1) cores
% 0.17/0.46 # G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with pid 1011 completed with status 0
% 0.17/0.46 # Result found by G-E--_200_B02_F1_AE_CS_SP_PI_S0Y
% 0.17/0.46 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.46 # Search class: FGUSM-FFMM32-MFFFFFNN
% 0.17/0.46 # partial match(1): FGHSM-FFMM32-MFFFFFNN
% 0.17/0.46 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.46 # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 127s (1) cores
% 0.17/0.46 # Preprocessing time : 0.001 s
% 0.17/0.46
% 0.17/0.46 # Proof found!
% 0.17/0.46 # SZS status Theorem
% 0.17/0.46 # SZS output start CNFRefutation
% See solution above
% 0.17/0.46 # Parsed axioms : 92
% 0.17/0.46 # Removed by relevancy pruning/SinE : 25
% 0.17/0.46 # Initial clauses : 76
% 0.17/0.46 # Removed in clause preprocessing : 0
% 0.17/0.46 # Initial clauses in saturation : 76
% 0.17/0.46 # Processed clauses : 622
% 0.17/0.46 # ...of these trivial : 26
% 0.17/0.46 # ...subsumed : 287
% 0.17/0.46 # ...remaining for further processing : 309
% 0.17/0.46 # Other redundant clauses eliminated : 0
% 0.17/0.46 # Clauses deleted for lack of memory : 0
% 0.17/0.46 # Backward-subsumed : 0
% 0.17/0.46 # Backward-rewritten : 7
% 0.17/0.46 # Generated clauses : 1304
% 0.17/0.46 # ...of the previous two non-redundant : 1026
% 0.17/0.46 # ...aggressively subsumed : 0
% 0.17/0.46 # Contextual simplify-reflections : 0
% 0.17/0.46 # Paramodulations : 1302
% 0.17/0.46 # Factorizations : 2
% 0.17/0.46 # NegExts : 0
% 0.17/0.46 # Equation resolutions : 0
% 0.17/0.46 # Total rewrite steps : 852
% 0.17/0.46 # Propositional unsat checks : 0
% 0.17/0.46 # Propositional check models : 0
% 0.17/0.46 # Propositional check unsatisfiable : 0
% 0.17/0.46 # Propositional clauses : 0
% 0.17/0.46 # Propositional clauses after purity: 0
% 0.17/0.46 # Propositional unsat core size : 0
% 0.17/0.46 # Propositional preprocessing time : 0.000
% 0.17/0.46 # Propositional encoding time : 0.000
% 0.17/0.46 # Propositional solver time : 0.000
% 0.17/0.46 # Success case prop preproc time : 0.000
% 0.17/0.46 # Success case prop encoding time : 0.000
% 0.17/0.46 # Success case prop solver time : 0.000
% 0.17/0.46 # Current number of processed clauses : 302
% 0.17/0.46 # Positive orientable unit clauses : 115
% 0.17/0.46 # Positive unorientable unit clauses: 0
% 0.17/0.46 # Negative unit clauses : 108
% 0.17/0.46 # Non-unit-clauses : 79
% 0.17/0.46 # Current number of unprocessed clauses: 477
% 0.17/0.46 # ...number of literals in the above : 1115
% 0.17/0.46 # Current number of archived formulas : 0
% 0.17/0.46 # Current number of archived clauses : 7
% 0.17/0.46 # Clause-clause subsumption calls (NU) : 438
% 0.17/0.46 # Rec. Clause-clause subsumption calls : 353
% 0.17/0.46 # Non-unit clause-clause subsumptions : 20
% 0.17/0.46 # Unit Clause-clause subsumption calls : 3149
% 0.17/0.46 # Rewrite failures with RHS unbound : 0
% 0.17/0.46 # BW rewrite match attempts : 48
% 0.17/0.46 # BW rewrite match successes : 1
% 0.17/0.46 # Condensation attempts : 0
% 0.17/0.46 # Condensation successes : 0
% 0.17/0.46 # Termbank termtop insertions : 14827
% 0.17/0.46
% 0.17/0.46 # -------------------------------------------------
% 0.17/0.46 # User time : 0.023 s
% 0.17/0.46 # System time : 0.001 s
% 0.17/0.46 # Total time : 0.024 s
% 0.17/0.46 # Maximum resident set size: 1912 pages
% 0.17/0.46
% 0.17/0.46 # -------------------------------------------------
% 0.17/0.46 # User time : 0.024 s
% 0.17/0.46 # System time : 0.003 s
% 0.17/0.46 # Total time : 0.028 s
% 0.17/0.46 # Maximum resident set size: 1788 pages
% 0.17/0.46 % E---3.1 exiting
%------------------------------------------------------------------------------