TSTP Solution File: GRP644+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP644+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n013.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 09:02:46 EDT 2022
% Result : Theorem 1.00s 15.22s
% Output : CNFRefutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 13 unt; 0 def)
% Number of atoms : 134 ( 0 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 169 ( 63 ~; 61 |; 28 &)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t22_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) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
=> r2_hidden(k3_group_1(X1,X3),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t22_latsubgr) ).
fof(dt_k3_group_1,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',dt_k3_group_1) ).
fof(t60_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_group_2(X3,X1)
=> ( r1_rlvect_1(X3,X2)
=> r1_rlvect_1(X3,k3_group_1(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+246.ax',t60_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/sandbox2/solver/bin/../tmp/theBenchmark.p',t18_latsubgr) ).
fof(c_0_4,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) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
=> r2_hidden(k3_group_1(X1,X3),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ),
inference(assume_negation,[status(cth)],[t22_latsubgr]) ).
fof(c_0_5,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| m1_subset_1(k3_group_1(X3,X4),u1_struct_0(X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k3_group_1])])]) ).
fof(c_0_6,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)
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& r2_hidden(esk3_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0))
& ~ r2_hidden(k3_group_1(esk1_0,esk3_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_4])])])])])]) ).
fof(c_0_7,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_group_2(X6,X4)
| ~ r1_rlvect_1(X6,X5)
| r1_rlvect_1(X6,k3_group_1(X4,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)],[t60_group_2])])])])])]) ).
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])])])])])])]) ).
cnf(c_0_9,plain,
( m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,plain,
( r1_rlvect_1(X1,k3_group_1(X2,X3))
| v3_struct_0(X2)
| ~ r1_rlvect_1(X1,X3)
| ~ m1_group_2(X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,X3)
| ~ 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))
| ~ r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,negated_conjecture,
r2_hidden(esk3_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,negated_conjecture,
v1_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,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_21,negated_conjecture,
m1_subset_1(k3_group_1(esk1_0,esk3_0),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(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]),c_0_13])]),c_0_14]) ).
cnf(c_0_22,negated_conjecture,
( r1_rlvect_1(X1,k3_group_1(esk1_0,esk3_0))
| ~ m1_group_2(X1,esk1_0)
| ~ r1_rlvect_1(X1,esk3_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_15,c_0_10]),c_0_11]),c_0_12]),c_0_13])]),c_0_14]) ).
cnf(c_0_23,negated_conjecture,
r1_rlvect_1(esk2_0,esk3_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_11]),c_0_12]),c_0_19]),c_0_13]),c_0_10])]),c_0_14]) ).
cnf(c_0_24,negated_conjecture,
( r2_hidden(k3_group_1(esk1_0,esk3_0),k1_funct_1(k1_latsubgr(esk1_0),X1))
| ~ m1_group_2(X1,esk1_0)
| ~ v1_group_1(X1)
| ~ r1_rlvect_1(X1,k3_group_1(esk1_0,esk3_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_20,c_0_21]),c_0_11]),c_0_12]),c_0_13])]),c_0_14]) ).
cnf(c_0_25,negated_conjecture,
r1_rlvect_1(esk2_0,k3_group_1(esk1_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_18]),c_0_23])]) ).
cnf(c_0_26,negated_conjecture,
~ r2_hidden(k3_group_1(esk1_0,esk3_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
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_24,c_0_25]),c_0_18]),c_0_19])]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP644+3 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.11/0.32 % Computer : n013.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 : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Tue Jun 14 05:31:15 EDT 2022
% 0.11/0.32 % CPUTime :
% 1.00/15.22 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 1.00/15.22 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 1.00/15.22 # Preprocessing time : 0.571 s
% 1.00/15.22
% 1.00/15.22 # Proof found!
% 1.00/15.22 # SZS status Theorem
% 1.00/15.22 # SZS output start CNFRefutation
% See solution above
% 1.00/15.22 # Proof object total steps : 28
% 1.00/15.22 # Proof object clause steps : 19
% 1.00/15.22 # Proof object formula steps : 9
% 1.00/15.22 # Proof object conjectures : 18
% 1.00/15.22 # Proof object clause conjectures : 15
% 1.00/15.22 # Proof object formula conjectures : 3
% 1.00/15.22 # Proof object initial clauses used : 13
% 1.00/15.22 # Proof object initial formulas used : 4
% 1.00/15.22 # Proof object generating inferences : 6
% 1.00/15.22 # Proof object simplifying inferences : 29
% 1.00/15.22 # Training examples: 0 positive, 0 negative
% 1.00/15.22 # Parsed axioms : 13986
% 1.00/15.22 # Removed by relevancy pruning/SinE : 13794
% 1.00/15.22 # Initial clauses : 436
% 1.00/15.22 # Removed in clause preprocessing : 26
% 1.00/15.22 # Initial clauses in saturation : 410
% 1.00/15.22 # Processed clauses : 11123
% 1.00/15.22 # ...of these trivial : 130
% 1.00/15.22 # ...subsumed : 5095
% 1.00/15.22 # ...remaining for further processing : 5898
% 1.00/15.22 # Other redundant clauses eliminated : 16
% 1.00/15.22 # Clauses deleted for lack of memory : 67313
% 1.00/15.22 # Backward-subsumed : 18
% 1.00/15.22 # Backward-rewritten : 1395
% 1.00/15.22 # Generated clauses : 354325
% 1.00/15.22 # ...of the previous two non-trivial : 288223
% 1.00/15.22 # Contextual simplify-reflections : 958
% 1.00/15.22 # Paramodulations : 354200
% 1.00/15.22 # Factorizations : 2
% 1.00/15.22 # Equation resolutions : 124
% 1.00/15.22 # Current number of processed clauses : 4478
% 1.00/15.22 # Positive orientable unit clauses : 496
% 1.00/15.22 # Positive unorientable unit clauses: 0
% 1.00/15.22 # Negative unit clauses : 65
% 1.00/15.22 # Non-unit-clauses : 3917
% 1.00/15.22 # Current number of unprocessed clauses: 112891
% 1.00/15.22 # ...number of literals in the above : 445998
% 1.00/15.22 # Current number of archived formulas : 0
% 1.00/15.22 # Current number of archived clauses : 1413
% 1.00/15.22 # Clause-clause subsumption calls (NU) : 3923106
% 1.00/15.22 # Rec. Clause-clause subsumption calls : 1198333
% 1.00/15.22 # Non-unit clause-clause subsumptions : 5963
% 1.00/15.22 # Unit Clause-clause subsumption calls : 283510
% 1.00/15.22 # Rewrite failures with RHS unbound : 0
% 1.00/15.22 # BW rewrite match attempts : 118264
% 1.00/15.22 # BW rewrite match successes : 38
% 1.00/15.22 # Condensation attempts : 0
% 1.00/15.22 # Condensation successes : 0
% 1.00/15.22 # Termbank termtop insertions : 31004642
% 1.00/15.22
% 1.00/15.22 # -------------------------------------------------
% 1.00/15.22 # User time : 13.800 s
% 1.00/15.22 # System time : 0.163 s
% 1.00/15.22 # Total time : 13.962 s
% 1.00/15.22 # Maximum resident set size: 153260 pages
%------------------------------------------------------------------------------