TSTP Solution File: SWV161+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWV161+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n017.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 18:15:25 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 : 18 ( 8 unt; 0 def)
% Number of atoms : 55 ( 16 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 52 ( 15 ~; 11 |; 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 ( 2 sgn 15 !; 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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cl5_nebula_norm_0011) ).
fof(leq_gt_pred,axiom,
! [X1,X2] :
( leq(X1,pred(X2))
<=> gt(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
fof(leq_gt2,axiom,
! [X1,X2] :
( ( leq(X1,X2)
& X1 != X2 )
=> gt(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',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,
! [X19] :
( sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) = n1
& leq(n0,pv10)
& leq(pv10,n135299)
& ( ~ leq(n0,X19)
| ~ leq(X19,pred(pv10))
| sum(n0,n4,a_select3(q,X19,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(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_5,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_6,negated_conjecture,
( sum(n0,n4,a_select3(q,X1,tptp_sum_index)) = n1
| ~ leq(X1,pred(pv10))
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
leq(n0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_8,plain,
! [X3,X4,X3,X4] :
( ( ~ leq(X3,pred(X4))
| gt(X4,X3) )
& ( ~ gt(X4,X3)
| leq(X3,pred(X4)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt_pred])])])]) ).
fof(c_0_9,plain,
! [X3,X4] :
( ~ leq(X3,X4)
| X3 = X4
| gt(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt2])]) ).
cnf(c_0_10,negated_conjecture,
~ leq(esk1_0,pred(pv10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]) ).
cnf(c_0_11,plain,
( leq(X1,pred(X2))
| ~ gt(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( gt(X1,X2)
| X2 = X1
| ~ leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,negated_conjecture,
leq(esk1_0,pv10),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,negated_conjecture,
~ gt(pv10,esk1_0),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) = n1,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,negated_conjecture,
pv10 = esk1_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_5]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV161+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 05:05:10 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 : 0.018 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 : 18
% 0.23/1.41 # Proof object clause steps : 11
% 0.23/1.41 # Proof object formula steps : 7
% 0.23/1.41 # Proof object conjectures : 12
% 0.23/1.41 # Proof object clause conjectures : 9
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 7
% 0.23/1.41 # Proof object initial formulas used : 3
% 0.23/1.41 # Proof object generating inferences : 3
% 0.23/1.41 # Proof object simplifying inferences : 5
% 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 : 25
% 0.23/1.41 # Initial clauses : 76
% 0.23/1.41 # Removed in clause preprocessing : 1
% 0.23/1.41 # Initial clauses in saturation : 75
% 0.23/1.41 # Processed clauses : 97
% 0.23/1.41 # ...of these trivial : 2
% 0.23/1.41 # ...subsumed : 0
% 0.23/1.41 # ...remaining for further processing : 95
% 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 : 0
% 0.23/1.41 # Backward-rewritten : 13
% 0.23/1.41 # Generated clauses : 257
% 0.23/1.41 # ...of the previous two non-trivial : 213
% 0.23/1.41 # Contextual simplify-reflections : 0
% 0.23/1.41 # Paramodulations : 255
% 0.23/1.41 # Factorizations : 2
% 0.23/1.41 # Equation resolutions : 0
% 0.23/1.41 # Current number of processed clauses : 82
% 0.23/1.41 # Positive orientable unit clauses : 53
% 0.23/1.41 # Positive unorientable unit clauses: 4
% 0.23/1.41 # Negative unit clauses : 2
% 0.23/1.41 # Non-unit-clauses : 23
% 0.23/1.41 # Current number of unprocessed clauses: 168
% 0.23/1.41 # ...number of literals in the above : 370
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 14
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 37
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 14
% 0.23/1.41 # Non-unit clause-clause subsumptions : 0
% 0.23/1.41 # Unit Clause-clause subsumption calls : 32
% 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 : 6004
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.021 s
% 0.23/1.41 # System time : 0.004 s
% 0.23/1.41 # Total time : 0.025 s
% 0.23/1.41 # Maximum resident set size: 3452 pages
%------------------------------------------------------------------------------