TSTP Solution File: GRP641+4 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP641+4 : TPTP v8.1.0. Released v3.4.0.
% 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 : Sat Jul 16 09:02:43 EDT 2022
% Result : Theorem 2.05s 4.25s
% Output : CNFRefutation 2.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 11 unt; 0 def)
% Number of atoms : 121 ( 4 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 149 ( 56 ~; 53 |; 26 &)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t19_latsubgr,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> r2_hidden(k2_group_1(X1),k1_funct_1(k1_latsubgr(X1),X2)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t19_latsubgr) ).
fof(t53_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> k2_group_1(X2) = k2_group_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+246.ax',t53_group_2) ).
fof(t18_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
<=> r1_rlvect_1(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t18_latsubgr) ).
fof(t56_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_group_2(X3,X1)
=> r1_rlvect_1(X3,k2_group_1(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+246.ax',t56_group_2) ).
fof(dt_k2_group_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_group_1(X1) )
=> m1_subset_1(k2_group_1(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',dt_k2_group_1) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> r2_hidden(k2_group_1(X1),k1_funct_1(k1_latsubgr(X1),X2)) ) ),
inference(assume_negation,[status(cth)],[t19_latsubgr]) ).
fof(c_0_6,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ m1_group_2(X4,X3)
| k2_group_1(X4) = k2_group_1(X3) ),
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)],[inference(fof_simplification,[status(thm)],[t53_group_2])])])])])]) ).
fof(c_0_7,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& v1_group_1(esk2_0)
& m1_group_2(esk2_0,esk1_0)
& ~ r2_hidden(k2_group_1(esk1_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_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)],[inference(fof_simplification,[status(thm)],[c_0_5])])])])])]) ).
fof(c_0_8,plain,
! [X4,X5,X6] :
( ( ~ r2_hidden(X6,k1_funct_1(k1_latsubgr(X4),X5))
| r1_rlvect_1(X5,X6)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ v1_group_1(X5)
| ~ m1_group_2(X5,X4)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( ~ r1_rlvect_1(X5,X6)
| r2_hidden(X6,k1_funct_1(k1_latsubgr(X4),X5))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ v1_group_1(X5)
| ~ m1_group_2(X5,X4)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) ) ),
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)],[inference(fof_simplification,[status(thm)],[t18_latsubgr])])])])])])]) ).
fof(c_0_9,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ~ m1_group_2(X5,X4)
| ~ m1_group_2(X6,X4)
| r1_rlvect_1(X6,k2_group_1(X5)) ),
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)],[inference(fof_simplification,[status(thm)],[t56_group_2])])])])])]) ).
fof(c_0_10,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_group_1(X2)
| m1_subset_1(k2_group_1(X2),u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k2_group_1])])]) ).
cnf(c_0_11,plain,
( k2_group_1(X1) = k2_group_1(X2)
| v3_struct_0(X2)
| ~ m1_group_2(X1,X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,plain,
( v3_struct_0(X1)
| r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r1_rlvect_1(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,negated_conjecture,
v1_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,plain,
( r1_rlvect_1(X1,k2_group_1(X2))
| v3_struct_0(X3)
| ~ m1_group_2(X1,X3)
| ~ m1_group_2(X2,X3)
| ~ l1_group_1(X3)
| ~ v4_group_1(X3)
| ~ v3_group_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_20,plain,
( m1_subset_1(k2_group_1(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,negated_conjecture,
k2_group_1(esk1_0) = k2_group_1(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14]),c_0_15])]),c_0_16]) ).
cnf(c_0_22,negated_conjecture,
~ r2_hidden(k2_group_1(esk1_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_23,negated_conjecture,
( r2_hidden(X1,k1_funct_1(k1_latsubgr(esk1_0),esk2_0))
| ~ r1_rlvect_1(esk2_0,X1)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[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_17,c_0_12]),c_0_13]),c_0_14]),c_0_18]),c_0_15])]),c_0_16]) ).
cnf(c_0_24,negated_conjecture,
( r1_rlvect_1(X1,k2_group_1(esk2_0))
| ~ m1_group_2(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_12]),c_0_13]),c_0_14]),c_0_15])]),c_0_16]) ).
cnf(c_0_25,negated_conjecture,
m1_subset_1(k2_group_1(esk2_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_15])]),c_0_16]) ).
cnf(c_0_26,negated_conjecture,
~ r2_hidden(k2_group_1(esk2_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(rw,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_12])]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP641+4 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 00:35:43 EDT 2022
% 0.13/0.35 % CPUTime :
% 2.05/4.25 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 2.05/4.25 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 2.05/4.25 # Preprocessing time : 1.363 s
% 2.05/4.25
% 2.05/4.25 # Proof found!
% 2.05/4.25 # SZS status Theorem
% 2.05/4.25 # SZS output start CNFRefutation
% See solution above
% 2.05/4.25 # Proof object total steps : 28
% 2.05/4.25 # Proof object clause steps : 17
% 2.05/4.25 # Proof object formula steps : 11
% 2.05/4.25 # Proof object conjectures : 16
% 2.05/4.25 # Proof object clause conjectures : 13
% 2.05/4.25 # Proof object formula conjectures : 3
% 2.05/4.25 # Proof object initial clauses used : 11
% 2.05/4.25 # Proof object initial formulas used : 5
% 2.05/4.25 # Proof object generating inferences : 5
% 2.05/4.25 # Proof object simplifying inferences : 24
% 2.05/4.25 # Training examples: 0 positive, 0 negative
% 2.05/4.25 # Parsed axioms : 36509
% 2.05/4.25 # Removed by relevancy pruning/SinE : 36408
% 2.05/4.25 # Initial clauses : 356
% 2.05/4.25 # Removed in clause preprocessing : 44
% 2.05/4.25 # Initial clauses in saturation : 312
% 2.05/4.25 # Processed clauses : 1665
% 2.05/4.25 # ...of these trivial : 62
% 2.05/4.25 # ...subsumed : 713
% 2.05/4.25 # ...remaining for further processing : 890
% 2.05/4.25 # Other redundant clauses eliminated : 0
% 2.05/4.25 # Clauses deleted for lack of memory : 0
% 2.05/4.25 # Backward-subsumed : 18
% 2.05/4.25 # Backward-rewritten : 151
% 2.05/4.25 # Generated clauses : 7934
% 2.05/4.25 # ...of the previous two non-trivial : 7616
% 2.05/4.25 # Contextual simplify-reflections : 510
% 2.05/4.25 # Paramodulations : 7928
% 2.05/4.25 # Factorizations : 2
% 2.05/4.25 # Equation resolutions : 4
% 2.05/4.25 # Current number of processed clauses : 721
% 2.05/4.25 # Positive orientable unit clauses : 41
% 2.05/4.25 # Positive unorientable unit clauses: 0
% 2.05/4.25 # Negative unit clauses : 14
% 2.05/4.25 # Non-unit-clauses : 666
% 2.05/4.25 # Current number of unprocessed clauses: 4899
% 2.05/4.25 # ...number of literals in the above : 43916
% 2.05/4.25 # Current number of archived formulas : 0
% 2.05/4.25 # Current number of archived clauses : 169
% 2.05/4.25 # Clause-clause subsumption calls (NU) : 156371
% 2.05/4.25 # Rec. Clause-clause subsumption calls : 48788
% 2.05/4.25 # Non-unit clause-clause subsumptions : 1208
% 2.05/4.25 # Unit Clause-clause subsumption calls : 5685
% 2.05/4.25 # Rewrite failures with RHS unbound : 0
% 2.05/4.25 # BW rewrite match attempts : 14
% 2.05/4.25 # BW rewrite match successes : 12
% 2.05/4.25 # Condensation attempts : 0
% 2.05/4.25 # Condensation successes : 0
% 2.05/4.25 # Termbank termtop insertions : 1303314
% 2.05/4.25
% 2.05/4.25 # -------------------------------------------------
% 2.05/4.25 # User time : 1.604 s
% 2.05/4.25 # System time : 0.053 s
% 2.05/4.25 # Total time : 1.657 s
% 2.05/4.25 # Maximum resident set size: 91724 pages
% 2.05/16.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.05/16.14 eprover: No such file or directory
% 2.05/16.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.05/16.14 eprover: No such file or directory
% 2.05/16.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.05/16.15 eprover: No such file or directory
% 2.05/16.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.05/16.16 eprover: No such file or directory
% 2.05/16.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.05/16.16 eprover: No such file or directory
% 2.05/16.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.05/16.17 eprover: No such file or directory
% 2.05/16.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.05/16.17 eprover: No such file or directory
% 2.05/16.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.05/16.18 eprover: No such file or directory
% 2.05/16.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.05/16.18 eprover: No such file or directory
% 2.05/16.19 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.05/16.19 eprover: No such file or directory
% 2.05/16.20 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.05/16.20 eprover: No such file or directory
% 2.05/16.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.05/16.53 eprover: No such file or directory
% 2.05/16.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.05/16.54 eprover: No such file or directory
% 2.05/16.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.05/16.54 eprover: No such file or directory
% 2.05/16.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.05/16.55 eprover: No such file or directory
% 2.05/16.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.05/16.55 eprover: No such file or directory
% 2.05/16.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.05/16.56 eprover: No such file or directory
% 2.05/16.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.05/16.56 eprover: No such file or directory
% 2.05/16.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.05/16.57 eprover: No such file or directory
% 2.05/16.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.05/16.58 eprover: No such file or directory
% 2.05/16.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.05/16.58 eprover: No such file or directory
% 2.05/16.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.05/16.59 eprover: No such file or directory
%------------------------------------------------------------------------------