TSTP Solution File: GRP645+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP645+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n014.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 0.25s 1.42s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 12 unt; 0 def)
% Number of atoms : 208 ( 19 equ)
% Maximal formula atoms : 38 ( 6 avg)
% Number of connectives : 285 ( 109 ~; 115 |; 46 &)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 43 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t24_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] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> k1_funct_1(k1_latsubgr(X1),k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t24_latsubgr) ).
fof(t23_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] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> u1_struct_0(k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t23_latsubgr) ).
fof(d1_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) )
=> ( X2 = k1_latsubgr(X1)
<=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> k1_funct_1(X2,X3) = u1_struct_0(X3) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1_latsubgr) ).
fof(dt_k1_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_funct_1(k1_latsubgr(X1))
& v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k1_latsubgr) ).
fof(dt_k9_group_2,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_group_2(X2,X1)
& m1_group_2(X3,X1) )
=> ( v1_group_1(k9_group_2(X1,X2,X3))
& m1_group_2(k9_group_2(X1,X2,X3),X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k9_group_2) ).
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) )
=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> k1_funct_1(k1_latsubgr(X1),k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)) ) ) ),
inference(assume_negation,[status(cth)],[t24_latsubgr]) ).
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)
& v1_group_1(esk3_0)
& m1_group_2(esk3_0,esk1_0)
& k1_funct_1(k1_latsubgr(esk1_0),k9_group_2(esk1_0,esk2_0,esk3_0)) != k3_xboole_0(k1_funct_1(k1_latsubgr(esk1_0),esk2_0),k1_funct_1(k1_latsubgr(esk1_0),esk3_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_7,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ~ v1_group_1(X5)
| ~ m1_group_2(X5,X4)
| ~ v1_group_1(X6)
| ~ m1_group_2(X6,X4)
| u1_struct_0(k9_group_2(X4,X5,X6)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X4),X5),k1_funct_1(k1_latsubgr(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_latsubgr])])])])])]) ).
fof(c_0_8,plain,
! [X4,X5,X6] :
( ( X5 != k1_latsubgr(X4)
| ~ v1_group_1(X6)
| ~ m1_group_2(X6,X4)
| k1_funct_1(X5,X6) = u1_struct_0(X6)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| ~ m2_relset_1(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( v1_group_1(esk4_2(X4,X5))
| X5 = k1_latsubgr(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| ~ m2_relset_1(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( m1_group_2(esk4_2(X4,X5),X4)
| X5 = k1_latsubgr(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| ~ m2_relset_1(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( k1_funct_1(X5,esk4_2(X4,X5)) != u1_struct_0(esk4_2(X4,X5))
| X5 = k1_latsubgr(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| ~ m2_relset_1(X5,k1_group_3(X4),k1_zfmisc_1(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(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)],[d1_latsubgr])])])])])])])]) ).
fof(c_0_9,plain,
! [X2] :
( ( v1_funct_1(k1_latsubgr(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( v1_funct_2(k1_latsubgr(X2),k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( m2_relset_1(k1_latsubgr(X2),k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k1_latsubgr])])])]) ).
cnf(c_0_10,negated_conjecture,
k1_funct_1(k1_latsubgr(esk1_0),k9_group_2(esk1_0,esk2_0,esk3_0)) != k3_xboole_0(k1_funct_1(k1_latsubgr(esk1_0),esk2_0),k1_funct_1(k1_latsubgr(esk1_0),esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( u1_struct_0(k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3))
| v3_struct_0(X1)
| ~ m1_group_2(X3,X1)
| ~ v1_group_1(X3)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
m1_group_2(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,negated_conjecture,
v1_group_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
v1_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,plain,
( v3_struct_0(X1)
| k1_funct_1(X2,X3) = u1_struct_0(X3)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_1(X2)
| ~ m1_group_2(X3,X1)
| ~ v1_group_1(X3)
| X2 != k1_latsubgr(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,plain,
( v3_struct_0(X1)
| v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_22,plain,
( v3_struct_0(X1)
| v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_23,plain,
( v3_struct_0(X1)
| m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,negated_conjecture,
k1_funct_1(k1_latsubgr(esk1_0),k9_group_2(esk1_0,esk2_0,esk3_0)) != u1_struct_0(k9_group_2(esk1_0,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(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]),c_0_16]),c_0_17]),c_0_18])]),c_0_19]) ).
cnf(c_0_25,plain,
( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23]) ).
fof(c_0_26,plain,
! [X4,X5,X6] :
( ( v1_group_1(k9_group_2(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) )
& ( m1_group_2(k9_group_2(X4,X5,X6),X4)
| 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) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k9_group_2])])])]) ).
cnf(c_0_27,negated_conjecture,
( ~ m1_group_2(k9_group_2(esk1_0,esk2_0,esk3_0),esk1_0)
| ~ v1_group_1(k9_group_2(esk1_0,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(spm,[status(thm)],[c_0_24,c_0_25]),c_0_16]),c_0_17]),c_0_18])]),c_0_19]) ).
cnf(c_0_28,plain,
( v3_struct_0(X2)
| v1_group_1(k9_group_2(X2,X3,X1))
| ~ m1_group_2(X1,X2)
| ~ m1_group_2(X3,X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_29,negated_conjecture,
~ m1_group_2(k9_group_2(esk1_0,esk2_0,esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_13]),c_0_12]),c_0_16]),c_0_17]),c_0_18])]),c_0_19]) ).
cnf(c_0_30,plain,
( v3_struct_0(X2)
| m1_group_2(k9_group_2(X2,X3,X1),X2)
| ~ m1_group_2(X1,X2)
| ~ m1_group_2(X3,X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_13]),c_0_12]),c_0_16]),c_0_17]),c_0_18])]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP645+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 22:35:22 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.25/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.42 # Preprocessing time : 0.018 s
% 0.25/1.42
% 0.25/1.42 # Proof found!
% 0.25/1.42 # SZS status Theorem
% 0.25/1.42 # SZS output start CNFRefutation
% See solution above
% 0.25/1.42 # Proof object total steps : 32
% 0.25/1.42 # Proof object clause steps : 21
% 0.25/1.42 # Proof object formula steps : 11
% 0.25/1.42 # Proof object conjectures : 16
% 0.25/1.42 # Proof object clause conjectures : 13
% 0.25/1.42 # Proof object formula conjectures : 3
% 0.25/1.42 # Proof object initial clauses used : 16
% 0.25/1.42 # Proof object initial formulas used : 5
% 0.25/1.42 # Proof object generating inferences : 5
% 0.25/1.42 # Proof object simplifying inferences : 30
% 0.25/1.42 # Training examples: 0 positive, 0 negative
% 0.25/1.42 # Parsed axioms : 62
% 0.25/1.42 # Removed by relevancy pruning/SinE : 33
% 0.25/1.42 # Initial clauses : 50
% 0.25/1.42 # Removed in clause preprocessing : 0
% 0.25/1.42 # Initial clauses in saturation : 50
% 0.25/1.42 # Processed clauses : 101
% 0.25/1.42 # ...of these trivial : 0
% 0.25/1.42 # ...subsumed : 17
% 0.25/1.42 # ...remaining for further processing : 84
% 0.25/1.42 # Other redundant clauses eliminated : 0
% 0.25/1.42 # Clauses deleted for lack of memory : 0
% 0.25/1.42 # Backward-subsumed : 0
% 0.25/1.42 # Backward-rewritten : 2
% 0.25/1.42 # Generated clauses : 103
% 0.25/1.42 # ...of the previous two non-trivial : 100
% 0.25/1.42 # Contextual simplify-reflections : 2
% 0.25/1.42 # Paramodulations : 103
% 0.25/1.42 # Factorizations : 0
% 0.25/1.42 # Equation resolutions : 0
% 0.25/1.42 # Current number of processed clauses : 82
% 0.25/1.42 # Positive orientable unit clauses : 22
% 0.25/1.42 # Positive unorientable unit clauses: 1
% 0.25/1.42 # Negative unit clauses : 14
% 0.25/1.42 # Non-unit-clauses : 45
% 0.25/1.42 # Current number of unprocessed clauses: 48
% 0.25/1.42 # ...number of literals in the above : 533
% 0.25/1.42 # Current number of archived formulas : 0
% 0.25/1.42 # Current number of archived clauses : 2
% 0.25/1.42 # Clause-clause subsumption calls (NU) : 2301
% 0.25/1.42 # Rec. Clause-clause subsumption calls : 90
% 0.25/1.42 # Non-unit clause-clause subsumptions : 17
% 0.25/1.42 # Unit Clause-clause subsumption calls : 118
% 0.25/1.42 # Rewrite failures with RHS unbound : 0
% 0.25/1.42 # BW rewrite match attempts : 6
% 0.25/1.42 # BW rewrite match successes : 5
% 0.25/1.42 # Condensation attempts : 0
% 0.25/1.42 # Condensation successes : 0
% 0.25/1.42 # Termbank termtop insertions : 6961
% 0.25/1.42
% 0.25/1.42 # -------------------------------------------------
% 0.25/1.42 # User time : 0.029 s
% 0.25/1.42 # System time : 0.000 s
% 0.25/1.42 # Total time : 0.029 s
% 0.25/1.42 # Maximum resident set size: 3352 pages
%------------------------------------------------------------------------------