TSTP Solution File: GRP629+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP629+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 09:02:33 EDT 2022
% Result : Theorem 1.31s 3.48s
% Output : CNFRefutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 125 ( 22 equ)
% Maximal formula atoms : 25 ( 5 avg)
% Number of connectives : 166 ( 65 ~; 61 |; 28 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-5 aty)
% Number of variables : 32 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t26_autgroup,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,k3_group_1(X1,X2)),k6_autgroup(X1,X2)) = k6_autgroup(X1,k2_group_1(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t26_autgroup) ).
fof(d6_group_1,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_subset_1(X3,u1_struct_0(X1))
=> ( X3 = k3_group_1(X1,X2)
<=> ( k1_group_1(X1,X2,X3) = k2_group_1(X1)
& k1_group_1(X1,X3,X2) = k2_group_1(X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',d6_group_1) ).
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(t23_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k6_autgroup(X1,k1_group_1(X1,X2,X3)) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,X3)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t23_autgroup) ).
fof(c_0_4,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,k3_group_1(X1,X2)),k6_autgroup(X1,X2)) = k6_autgroup(X1,k2_group_1(X1)) ) ),
inference(assume_negation,[status(cth)],[t26_autgroup]) ).
fof(c_0_5,plain,
! [X4,X5,X6] :
( ( k1_group_1(X4,X5,X6) = k2_group_1(X4)
| X6 != k3_group_1(X4,X5)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( k1_group_1(X4,X6,X5) = k2_group_1(X4)
| X6 != k3_group_1(X4,X5)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( k1_group_1(X4,X5,X6) != k2_group_1(X4)
| k1_group_1(X4,X6,X5) != k2_group_1(X4)
| X6 = k3_group_1(X4,X5)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(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)],[d6_group_1])])])])])])]) ).
fof(c_0_6,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_7,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v1_group_1(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,k2_group_1(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)],[inference(fof_simplification,[status(thm)],[c_0_4])])])])])]) ).
cnf(c_0_8,plain,
( v3_struct_0(X1)
| k1_group_1(X1,X3,X2) = k2_group_1(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| X3 != k3_group_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
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_6]) ).
cnf(c_0_10,negated_conjecture,
k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,k2_group_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( k1_group_1(X1,k3_group_1(X1,X2),X2) = k2_group_1(X1)
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_8]),c_0_9]) ).
cnf(c_0_12,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_16,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v1_group_1(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| k6_autgroup(X4,k1_group_1(X4,X5,X6)) = k7_funct_2(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X4),k6_autgroup(X4,X5),k6_autgroup(X4,X6)) ),
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)],[t23_autgroup])])])])])]) ).
cnf(c_0_17,negated_conjecture,
( k6_autgroup(esk1_0,k1_group_1(esk1_0,k3_group_1(esk1_0,X1),X1)) != k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)),k6_autgroup(esk1_0,esk2_0))
| ~ 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(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13]),c_0_14])]),c_0_15]) ).
cnf(c_0_18,plain,
( k6_autgroup(X1,k1_group_1(X1,X2,X3)) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,X3))
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,negated_conjecture,
( k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,k3_group_1(esk1_0,X1)),k6_autgroup(esk1_0,X1)) != k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)),k6_autgroup(esk1_0,esk2_0))
| ~ m1_subset_1(k3_group_1(esk1_0,X1),u1_struct_0(esk1_0))
| ~ 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_18]),c_0_12]),c_0_13]),c_0_19]),c_0_14])]),c_0_15]) ).
cnf(c_0_21,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,negated_conjecture,
~ m1_subset_1(k3_group_1(esk1_0,esk2_0),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_20]),c_0_21])]) ).
cnf(c_0_23,negated_conjecture,
$false,
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_22,c_0_9]),c_0_12]),c_0_13]),c_0_14]),c_0_21])]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP629+3 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.09 % Command : run_ET %s %d
% 0.09/0.29 % Computer : n021.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Mon Jun 13 04:10:43 EDT 2022
% 0.09/0.29 % CPUTime :
% 1.31/3.48 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 1.31/3.48 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 1.31/3.48 # Preprocessing time : 0.611 s
% 1.31/3.48
% 1.31/3.48 # Proof found!
% 1.31/3.48 # SZS status Theorem
% 1.31/3.48 # SZS output start CNFRefutation
% See solution above
% 1.31/3.48 # Proof object total steps : 24
% 1.31/3.48 # Proof object clause steps : 15
% 1.31/3.48 # Proof object formula steps : 9
% 1.31/3.48 # Proof object conjectures : 14
% 1.31/3.48 # Proof object clause conjectures : 11
% 1.31/3.48 # Proof object formula conjectures : 3
% 1.31/3.48 # Proof object initial clauses used : 10
% 1.31/3.48 # Proof object initial formulas used : 4
% 1.31/3.48 # Proof object generating inferences : 5
% 1.31/3.48 # Proof object simplifying inferences : 20
% 1.31/3.48 # Training examples: 0 positive, 0 negative
% 1.31/3.48 # Parsed axioms : 12907
% 1.31/3.48 # Removed by relevancy pruning/SinE : 12806
% 1.31/3.48 # Initial clauses : 316
% 1.31/3.48 # Removed in clause preprocessing : 17
% 1.31/3.48 # Initial clauses in saturation : 299
% 1.31/3.48 # Processed clauses : 2144
% 1.31/3.48 # ...of these trivial : 62
% 1.31/3.48 # ...subsumed : 1285
% 1.31/3.48 # ...remaining for further processing : 797
% 1.31/3.48 # Other redundant clauses eliminated : 116
% 1.31/3.48 # Clauses deleted for lack of memory : 0
% 1.31/3.48 # Backward-subsumed : 77
% 1.31/3.48 # Backward-rewritten : 0
% 1.31/3.48 # Generated clauses : 14030
% 1.31/3.48 # ...of the previous two non-trivial : 11152
% 1.31/3.48 # Contextual simplify-reflections : 1129
% 1.31/3.48 # Paramodulations : 13883
% 1.31/3.48 # Factorizations : 0
% 1.31/3.48 # Equation resolutions : 148
% 1.31/3.48 # Current number of processed clauses : 716
% 1.31/3.48 # Positive orientable unit clauses : 13
% 1.31/3.48 # Positive unorientable unit clauses: 0
% 1.31/3.48 # Negative unit clauses : 7
% 1.31/3.48 # Non-unit-clauses : 696
% 1.31/3.48 # Current number of unprocessed clauses: 8544
% 1.31/3.48 # ...number of literals in the above : 69389
% 1.31/3.48 # Current number of archived formulas : 0
% 1.31/3.48 # Current number of archived clauses : 78
% 1.31/3.48 # Clause-clause subsumption calls (NU) : 174315
% 1.31/3.48 # Rec. Clause-clause subsumption calls : 46109
% 1.31/3.48 # Non-unit clause-clause subsumptions : 1728
% 1.31/3.48 # Unit Clause-clause subsumption calls : 1064
% 1.31/3.48 # Rewrite failures with RHS unbound : 0
% 1.31/3.48 # BW rewrite match attempts : 0
% 1.31/3.48 # BW rewrite match successes : 0
% 1.31/3.48 # Condensation attempts : 0
% 1.31/3.48 # Condensation successes : 0
% 1.31/3.48 # Termbank termtop insertions : 784021
% 1.31/3.48
% 1.31/3.48 # -------------------------------------------------
% 1.31/3.48 # User time : 1.199 s
% 1.31/3.48 # System time : 0.043 s
% 1.31/3.48 # Total time : 1.242 s
% 1.31/3.48 # Maximum resident set size: 39604 pages
% 1.31/24.49 eprover: CPU time limit exceeded, terminating
% 1.31/24.50 eprover: CPU time limit exceeded, terminating
% 1.31/24.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.31/24.52 eprover: No such file or directory
% 1.31/24.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.31/24.52 eprover: No such file or directory
% 1.31/24.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.31/24.52 eprover: No such file or directory
% 1.31/24.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.31/24.52 eprover: No such file or directory
% 1.31/24.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.31/24.53 eprover: No such file or directory
% 1.31/24.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.31/24.53 eprover: No such file or directory
% 1.31/24.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.31/24.53 eprover: No such file or directory
% 1.31/24.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.31/24.53 eprover: No such file or directory
% 1.31/24.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.31/24.54 eprover: No such file or directory
% 1.31/24.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.31/24.54 eprover: No such file or directory
% 1.31/24.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.31/24.54 eprover: No such file or directory
% 1.31/24.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.31/24.54 eprover: No such file or directory
% 1.31/24.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.31/24.54 eprover: No such file or directory
% 1.31/24.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.31/24.55 eprover: No such file or directory
% 1.31/24.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.31/24.55 eprover: No such file or directory
% 1.31/24.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.31/24.55 eprover: No such file or directory
% 1.31/24.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.31/24.55 eprover: No such file or directory
% 1.31/24.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.31/24.56 eprover: No such file or directory
% 1.31/24.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.31/24.56 eprover: No such file or directory
% 1.31/24.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.31/24.57 eprover: No such file or directory
% 1.31/24.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.31/24.57 eprover: No such file or directory
% 1.31/24.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.31/24.58 eprover: No such file or directory
%------------------------------------------------------------------------------