TSTP Solution File: SWV221+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWV221+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n023.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 18:15:37 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 11 unt; 0 def)
% Number of atoms : 249 ( 43 equ)
% Maximal formula atoms : 51 ( 8 avg)
% Number of connectives : 292 ( 74 ~; 63 |; 115 &)
% ( 2 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-3 aty)
% Number of variables : 80 ( 2 sgn 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0401,conjecture,
( ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,n998)
& leq(pv57,n5)
& leq(pv58,n5)
& gt(pv58,pv57)
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n5)
& leq(X18,n5) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,n2) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n5)
& leq(X22,n5) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,n5)
& leq(X29,n5) )
=> ( ( X28 = pv57
& gt(pv58,X29) )
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) ) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(n0,X11)
& leq(X5,n5)
& leq(X11,n5) )
=> ( gt(pv57,X5)
=> a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) )
& ! [X16] :
( ( leq(n0,X16)
& leq(X16,pred(pv57)) )
=> ! [X6] :
( ( leq(n0,X6)
& leq(X6,n5) )
=> a_select3(id_ds1_filter,X16,X6) = a_select3(id_ds1_filter,X6,X16) ) ) )
=> ! [X19] :
( ( leq(n0,X19)
& leq(X19,pred(pv57)) )
=> ! [X15] :
( ( leq(n0,X15)
& leq(X15,n5) )
=> ( ( ~ ( pv57 = X15
& X15 = X19 )
& pv57 != X19 )
=> a_select3(id_ds1_filter,X19,X15) = a_select3(id_ds1_filter,X15,X19) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',quaternion_ds1_symm_0401) ).
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(transitivity_leq,axiom,
! [X1,X2,X3] :
( ( leq(X1,X2)
& leq(X2,X3) )
=> leq(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).
fof(leq_gt1,axiom,
! [X1,X2] :
( gt(X2,X1)
=> leq(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).
fof(c_0_4,plain,
( epred1_0
<=> ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,n998)
& leq(pv57,n5)
& leq(pv58,n5)
& gt(pv58,pv57)
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n5)
& leq(X18,n5) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,n2) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n5)
& leq(X22,n5) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,n5)
& leq(X29,n5) )
=> ( ( X28 = pv57
& gt(pv58,X29) )
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) ) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(n0,X11)
& leq(X5,n5)
& leq(X11,n5) )
=> ( gt(pv57,X5)
=> a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) )
& ! [X16] :
( ( leq(n0,X16)
& leq(X16,pred(pv57)) )
=> ! [X6] :
( ( leq(n0,X6)
& leq(X6,n5) )
=> a_select3(id_ds1_filter,X16,X6) = a_select3(id_ds1_filter,X6,X16) ) ) ) ),
introduced(definition) ).
fof(c_0_5,plain,
( epred1_0
=> ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,n998)
& leq(pv57,n5)
& leq(pv58,n5)
& gt(pv58,pv57)
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n5)
& leq(X18,n5) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,n2) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n5)
& leq(X22,n5) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,n5)
& leq(X29,n5) )
=> ( ( X28 = pv57
& gt(pv58,X29) )
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) ) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(n0,X11)
& leq(X5,n5)
& leq(X11,n5) )
=> ( gt(pv57,X5)
=> a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) )
& ! [X16] :
( ( leq(n0,X16)
& leq(X16,pred(pv57)) )
=> ! [X6] :
( ( leq(n0,X6)
& leq(X6,n5) )
=> a_select3(id_ds1_filter,X16,X6) = a_select3(id_ds1_filter,X6,X16) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_4]) ).
fof(c_0_6,negated_conjecture,
~ ( epred1_0
=> ! [X19] :
( ( leq(n0,X19)
& leq(X19,pred(pv57)) )
=> ! [X15] :
( ( leq(n0,X15)
& leq(X15,n5) )
=> ( ( ~ ( pv57 = X15
& X15 = X19 )
& pv57 != X19 )
=> a_select3(id_ds1_filter,X19,X15) = a_select3(id_ds1_filter,X15,X19) ) ) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0401]),c_0_4]) ).
fof(c_0_7,plain,
! [X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41] :
( ( leq(n0,pv5)
| ~ epred1_0 )
& ( leq(n0,pv57)
| ~ epred1_0 )
& ( leq(pv5,n998)
| ~ epred1_0 )
& ( leq(pv57,n5)
| ~ epred1_0 )
& ( leq(pv58,n5)
| ~ epred1_0 )
& ( gt(pv58,pv57)
| ~ epred1_0 )
& ( ~ leq(n0,X30)
| ~ leq(n0,X31)
| ~ leq(X30,n5)
| ~ leq(X31,n5)
| a_select3(q_ds1_filter,X30,X31) = a_select3(q_ds1_filter,X31,X30)
| ~ epred1_0 )
& ( ~ leq(n0,X32)
| ~ leq(n0,X33)
| ~ leq(X32,n2)
| ~ leq(X33,n2)
| a_select3(r_ds1_filter,X32,X33) = a_select3(r_ds1_filter,X33,X32)
| ~ epred1_0 )
& ( ~ leq(n0,X34)
| ~ leq(n0,X35)
| ~ leq(X34,n5)
| ~ leq(X35,n5)
| a_select3(pminus_ds1_filter,X34,X35) = a_select3(pminus_ds1_filter,X35,X34)
| ~ epred1_0 )
& ( ~ leq(n0,X36)
| ~ leq(n0,X37)
| ~ leq(X36,n5)
| ~ leq(X37,n5)
| X36 != pv57
| ~ gt(pv58,X37)
| a_select3(id_ds1_filter,X36,X37) = a_select3(id_ds1_filter,X37,X36)
| ~ epred1_0 )
& ( ~ leq(n0,X38)
| ~ leq(n0,X39)
| ~ leq(X38,n5)
| ~ leq(X39,n5)
| ~ gt(pv57,X38)
| a_select3(id_ds1_filter,X38,X39) = a_select3(id_ds1_filter,X39,X38)
| ~ epred1_0 )
& ( ~ leq(n0,X40)
| ~ leq(X40,pred(pv57))
| ~ leq(n0,X41)
| ~ leq(X41,n5)
| a_select3(id_ds1_filter,X40,X41) = a_select3(id_ds1_filter,X41,X40)
| ~ 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_5])])])])])]) ).
fof(c_0_8,negated_conjecture,
( epred1_0
& leq(n0,esk1_0)
& leq(esk1_0,pred(pv57))
& leq(n0,esk2_0)
& leq(esk2_0,n5)
& ( pv57 != esk2_0
| esk2_0 != esk1_0 )
& pv57 != esk1_0
& a_select3(id_ds1_filter,esk1_0,esk2_0) != a_select3(id_ds1_filter,esk2_0,esk1_0) ),
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_6])])])])]) ).
cnf(c_0_9,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| ~ epred1_0
| ~ gt(pv57,X1)
| ~ leq(X2,n5)
| ~ leq(X1,n5)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_11,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])])])]) ).
cnf(c_0_12,negated_conjecture,
a_select3(id_ds1_filter,esk1_0,esk2_0) != a_select3(id_ds1_filter,esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| ~ leq(X2,n5)
| ~ leq(X1,n5)
| ~ leq(n0,X2)
| ~ leq(n0,X1)
| ~ gt(pv57,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).
cnf(c_0_14,negated_conjecture,
leq(esk2_0,n5),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
leq(n0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
leq(n0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,plain,
( gt(X1,X2)
| ~ leq(X2,pred(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,negated_conjecture,
leq(esk1_0,pred(pv57)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_19,plain,
! [X4,X5,X6] :
( ~ leq(X4,X5)
| ~ leq(X5,X6)
| leq(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_leq])]) ).
cnf(c_0_20,plain,
( leq(pv57,n5)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_21,plain,
! [X3,X4] :
( ~ gt(X4,X3)
| leq(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt1])]) ).
cnf(c_0_22,negated_conjecture,
( ~ leq(esk1_0,n5)
| ~ gt(pv57,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15]),c_0_16])]) ).
cnf(c_0_23,negated_conjecture,
gt(pv57,esk1_0),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
( leq(X1,X2)
| ~ leq(X3,X2)
| ~ leq(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
leq(pv57,n5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_10])]) ).
cnf(c_0_26,plain,
( leq(X1,X2)
| ~ gt(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,negated_conjecture,
~ leq(esk1_0,n5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23])]) ).
cnf(c_0_28,plain,
( leq(X1,n5)
| ~ leq(X1,pv57) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
leq(esk1_0,pv57),
inference(spm,[status(thm)],[c_0_26,c_0_23]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV221+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.00/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 17:10:50 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 : 31
% 0.24/1.42 # Proof object clause steps : 19
% 0.24/1.42 # Proof object formula steps : 12
% 0.24/1.42 # Proof object conjectures : 14
% 0.24/1.42 # Proof object clause conjectures : 11
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 11
% 0.24/1.42 # Proof object initial formulas used : 4
% 0.24/1.42 # Proof object generating inferences : 5
% 0.24/1.42 # Proof object simplifying inferences : 12
% 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 : 88
% 0.24/1.42 # Removed in clause preprocessing : 1
% 0.24/1.42 # Initial clauses in saturation : 87
% 0.24/1.42 # Processed clauses : 153
% 0.24/1.42 # ...of these trivial : 5
% 0.24/1.42 # ...subsumed : 4
% 0.24/1.42 # ...remaining for further processing : 144
% 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 : 4
% 0.24/1.42 # Generated clauses : 394
% 0.24/1.42 # ...of the previous two non-trivial : 345
% 0.24/1.42 # Contextual simplify-reflections : 0
% 0.24/1.42 # Paramodulations : 392
% 0.24/1.42 # Factorizations : 2
% 0.24/1.42 # Equation resolutions : 0
% 0.24/1.42 # Current number of processed clauses : 140
% 0.24/1.42 # Positive orientable unit clauses : 80
% 0.24/1.42 # Positive unorientable unit clauses: 4
% 0.24/1.42 # Negative unit clauses : 14
% 0.24/1.42 # Non-unit-clauses : 42
% 0.24/1.42 # Current number of unprocessed clauses: 272
% 0.24/1.42 # ...number of literals in the above : 722
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 5
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 136
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 86
% 0.24/1.42 # Non-unit clause-clause subsumptions : 1
% 0.24/1.42 # Unit Clause-clause subsumption calls : 164
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 19
% 0.24/1.42 # BW rewrite match successes : 13
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 8758
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.027 s
% 0.24/1.42 # System time : 0.003 s
% 0.24/1.42 # Total time : 0.030 s
% 0.24/1.42 # Maximum resident set size: 3768 pages
%------------------------------------------------------------------------------