TSTP Solution File: GRP631+2 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP631+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n019.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 09:02:35 EDT 2022
% Result : Theorem 0.46s 1.65s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 44 ( 10 unt; 0 def)
% Number of atoms : 255 ( 71 equ)
% Maximal formula atoms : 43 ( 5 avg)
% Number of connectives : 352 ( 141 ~; 151 |; 41 &)
% ( 1 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-5 aty)
% Number of variables : 67 ( 0 sgn 30 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t29_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,k2_group_1(X1)),k6_autgroup(X1,X2)) = k6_autgroup(X1,X2)
& k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,k2_group_1(X1))) = k6_autgroup(X1,X2) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t29_autgroup) ).
fof(t14_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))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( k1_group_1(X1,X2,X3) = k1_group_1(X1,X2,X4)
| k1_group_1(X1,X3,X2) = k1_group_1(X1,X4,X2) )
=> X3 = X4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',t14_group_1) ).
fof(d3_group_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_group_1(X1) )
=> ( v3_group_1(X1)
<=> ? [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( k1_group_1(X1,X3,X2) = X3
& k1_group_1(X1,X2,X3) = X3
& ? [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
& k1_group_1(X1,X3,X4) = X2
& k1_group_1(X1,X4,X3) = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',d3_group_1) ).
fof(t15_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))
=> ( ( k1_group_1(X1,X2,X3) = X2
| k1_group_1(X1,X3,X2) = X2 )
=> X3 = k2_group_1(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',t15_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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t23_autgroup) ).
fof(c_0_5,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,k2_group_1(X1)),k6_autgroup(X1,X2)) = k6_autgroup(X1,X2)
& k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,k2_group_1(X1))) = k6_autgroup(X1,X2) ) ) ),
inference(assume_negation,[status(cth)],[t29_autgroup]) ).
fof(c_0_6,plain,
! [X5,X6,X7,X8] :
( ( k1_group_1(X5,X6,X7) != k1_group_1(X5,X6,X8)
| X7 = X8
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5) )
& ( k1_group_1(X5,X7,X6) != k1_group_1(X5,X8,X6)
| X7 = X8
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5) ) ),
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)],[t14_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,k2_group_1(esk1_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,esk2_0)
| k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_autgroup(esk1_0,k2_group_1(esk1_0))) != k6_autgroup(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])])])])])]) ).
cnf(c_0_8,plain,
( v3_struct_0(X1)
| X3 = X4
| ~ 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))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| k1_group_1(X1,X3,X2) != k1_group_1(X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_13,plain,
! [X5,X7,X9,X11] :
( ( m1_subset_1(esk24_1(X5),u1_struct_0(X5))
| ~ v3_group_1(X5)
| v3_struct_0(X5)
| ~ l1_group_1(X5) )
& ( k1_group_1(X5,X7,esk24_1(X5)) = X7
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ v3_group_1(X5)
| v3_struct_0(X5)
| ~ l1_group_1(X5) )
& ( k1_group_1(X5,esk24_1(X5),X7) = X7
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ v3_group_1(X5)
| v3_struct_0(X5)
| ~ l1_group_1(X5) )
& ( m1_subset_1(esk25_2(X5,X7),u1_struct_0(X5))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ v3_group_1(X5)
| v3_struct_0(X5)
| ~ l1_group_1(X5) )
& ( k1_group_1(X5,X7,esk25_2(X5,X7)) = esk24_1(X5)
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ v3_group_1(X5)
| v3_struct_0(X5)
| ~ l1_group_1(X5) )
& ( k1_group_1(X5,esk25_2(X5,X7),X7) = esk24_1(X5)
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ v3_group_1(X5)
| v3_struct_0(X5)
| ~ l1_group_1(X5) )
& ( m1_subset_1(esk26_2(X5,X9),u1_struct_0(X5))
| ~ m1_subset_1(X9,u1_struct_0(X5))
| v3_group_1(X5)
| v3_struct_0(X5)
| ~ l1_group_1(X5) )
& ( k1_group_1(X5,esk26_2(X5,X9),X9) != esk26_2(X5,X9)
| k1_group_1(X5,X9,esk26_2(X5,X9)) != esk26_2(X5,X9)
| ~ m1_subset_1(X11,u1_struct_0(X5))
| k1_group_1(X5,esk26_2(X5,X9),X11) != X9
| k1_group_1(X5,X11,esk26_2(X5,X9)) != X9
| ~ m1_subset_1(X9,u1_struct_0(X5))
| v3_group_1(X5)
| v3_struct_0(X5)
| ~ l1_group_1(X5) ) ),
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)],[d3_group_1])])])])])])])]) ).
cnf(c_0_14,negated_conjecture,
( X1 = X2
| k1_group_1(esk1_0,X1,X3) != k1_group_1(esk1_0,X2,X3)
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X3,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_15,plain,
( v3_struct_0(X1)
| k1_group_1(X1,esk24_1(X1),X2) = X2
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( X1 = esk24_1(esk1_0)
| k1_group_1(esk1_0,X1,X2) != X2
| ~ m1_subset_1(esk24_1(esk1_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_17,plain,
( v3_struct_0(X1)
| m1_subset_1(esk24_1(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
( X1 = esk24_1(esk1_0)
| k1_group_1(esk1_0,X1,X2) != X2
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_19,plain,
( v3_struct_0(X1)
| k1_group_1(X1,esk25_2(X1,X2),X2) = esk24_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
( esk25_2(esk1_0,X1) = esk24_1(esk1_0)
| esk24_1(esk1_0) != X1
| ~ m1_subset_1(esk25_2(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(spm,[status(thm)],[c_0_18,c_0_19]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_21,plain,
( v3_struct_0(X1)
| m1_subset_1(esk25_2(X1,X2),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_22,plain,
! [X4,X5,X6] :
( ( k1_group_1(X4,X5,X6) != X5
| X6 = k2_group_1(X4)
| ~ 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) != X5
| X6 = k2_group_1(X4)
| ~ 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)],[t15_group_1])])])])])])]) ).
cnf(c_0_23,plain,
( v3_struct_0(X1)
| k1_group_1(X1,X2,esk25_2(X1,X2)) = esk24_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_24,negated_conjecture,
( esk25_2(esk1_0,X1) = esk24_1(esk1_0)
| esk24_1(esk1_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(spm,[status(thm)],[c_0_20,c_0_21]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_25,plain,
( v3_struct_0(X1)
| X3 = 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))
| k1_group_1(X1,X3,X2) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( k1_group_1(esk1_0,X1,esk24_1(esk1_0)) = esk24_1(esk1_0)
| esk24_1(esk1_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(spm,[status(thm)],[c_0_23,c_0_24]),c_0_10]),c_0_11])]),c_0_12]) ).
fof(c_0_27,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_28,negated_conjecture,
( X1 = k2_group_1(esk1_0)
| esk24_1(esk1_0) != X1
| ~ m1_subset_1(esk24_1(esk1_0),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(spm,[status(thm)],[c_0_25,c_0_26]),c_0_9]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_29,negated_conjecture,
( k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_autgroup(esk1_0,k2_group_1(esk1_0))) != k6_autgroup(esk1_0,esk2_0)
| k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,k2_group_1(esk1_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_30,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_27]) ).
cnf(c_0_31,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_32,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_33,negated_conjecture,
( X1 = k2_group_1(esk1_0)
| esk24_1(esk1_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(spm,[status(thm)],[c_0_28,c_0_17]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_34,negated_conjecture,
( k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_autgroup(esk1_0,k2_group_1(esk1_0))) != k6_autgroup(esk1_0,esk2_0)
| k6_autgroup(esk1_0,k1_group_1(esk1_0,k2_group_1(esk1_0),esk2_0)) != k6_autgroup(esk1_0,esk2_0)
| ~ m1_subset_1(k2_group_1(esk1_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_9]),c_0_10]),c_0_31]),c_0_11]),c_0_32])]),c_0_12]) ).
cnf(c_0_35,negated_conjecture,
esk24_1(esk1_0) = k2_group_1(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_17]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_36,negated_conjecture,
( k6_autgroup(esk1_0,k1_group_1(esk1_0,esk2_0,k2_group_1(esk1_0))) != k6_autgroup(esk1_0,esk2_0)
| k6_autgroup(esk1_0,k1_group_1(esk1_0,k2_group_1(esk1_0),esk2_0)) != k6_autgroup(esk1_0,esk2_0)
| ~ m1_subset_1(k2_group_1(esk1_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_30]),c_0_9]),c_0_10]),c_0_31]),c_0_11]),c_0_32])]),c_0_12]) ).
cnf(c_0_37,negated_conjecture,
m1_subset_1(k2_group_1(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_35]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_38,negated_conjecture,
( k6_autgroup(esk1_0,k1_group_1(esk1_0,esk2_0,k2_group_1(esk1_0))) != k6_autgroup(esk1_0,esk2_0)
| k6_autgroup(esk1_0,k1_group_1(esk1_0,k2_group_1(esk1_0),esk2_0)) != k6_autgroup(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]) ).
cnf(c_0_39,negated_conjecture,
( k1_group_1(esk1_0,k2_group_1(esk1_0),X1) = 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(spm,[status(thm)],[c_0_15,c_0_35]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_40,plain,
( v3_struct_0(X1)
| k1_group_1(X1,X2,esk24_1(X1)) = X2
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_41,negated_conjecture,
k6_autgroup(esk1_0,k1_group_1(esk1_0,esk2_0,k2_group_1(esk1_0))) != k6_autgroup(esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_32])]) ).
cnf(c_0_42,negated_conjecture,
( k1_group_1(esk1_0,X1,k2_group_1(esk1_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(spm,[status(thm)],[c_0_40,c_0_35]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_43,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP631+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.14 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 12:36:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.46/1.65 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.46/1.65 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.46/1.65 # Preprocessing time : 0.135 s
% 0.46/1.65
% 0.46/1.65 # Proof found!
% 0.46/1.65 # SZS status Theorem
% 0.46/1.65 # SZS output start CNFRefutation
% See solution above
% 0.46/1.65 # Proof object total steps : 44
% 0.46/1.65 # Proof object clause steps : 33
% 0.46/1.65 # Proof object formula steps : 11
% 0.46/1.65 # Proof object conjectures : 27
% 0.46/1.65 # Proof object clause conjectures : 24
% 0.46/1.65 # Proof object formula conjectures : 3
% 0.46/1.65 # Proof object initial clauses used : 16
% 0.46/1.65 # Proof object initial formulas used : 5
% 0.46/1.65 # Proof object generating inferences : 16
% 0.46/1.65 # Proof object simplifying inferences : 69
% 0.46/1.65 # Training examples: 0 positive, 0 negative
% 0.46/1.65 # Parsed axioms : 3844
% 0.46/1.65 # Removed by relevancy pruning/SinE : 3743
% 0.46/1.65 # Initial clauses : 237
% 0.46/1.65 # Removed in clause preprocessing : 17
% 0.46/1.65 # Initial clauses in saturation : 220
% 0.46/1.65 # Processed clauses : 261
% 0.46/1.65 # ...of these trivial : 6
% 0.46/1.65 # ...subsumed : 11
% 0.46/1.65 # ...remaining for further processing : 244
% 0.46/1.65 # Other redundant clauses eliminated : 24
% 0.46/1.65 # Clauses deleted for lack of memory : 0
% 0.46/1.65 # Backward-subsumed : 3
% 0.46/1.65 # Backward-rewritten : 9
% 0.46/1.65 # Generated clauses : 1167
% 0.46/1.65 # ...of the previous two non-trivial : 885
% 0.46/1.65 # Contextual simplify-reflections : 4
% 0.46/1.65 # Paramodulations : 1129
% 0.46/1.65 # Factorizations : 0
% 0.46/1.65 # Equation resolutions : 39
% 0.46/1.65 # Current number of processed clauses : 229
% 0.46/1.65 # Positive orientable unit clauses : 20
% 0.46/1.65 # Positive unorientable unit clauses: 0
% 0.46/1.65 # Negative unit clauses : 3
% 0.46/1.65 # Non-unit-clauses : 206
% 0.46/1.65 # Current number of unprocessed clauses: 762
% 0.46/1.65 # ...number of literals in the above : 6723
% 0.46/1.65 # Current number of archived formulas : 0
% 0.46/1.65 # Current number of archived clauses : 13
% 0.46/1.65 # Clause-clause subsumption calls (NU) : 16956
% 0.46/1.65 # Rec. Clause-clause subsumption calls : 55
% 0.46/1.65 # Non-unit clause-clause subsumptions : 18
% 0.46/1.65 # Unit Clause-clause subsumption calls : 671
% 0.46/1.65 # Rewrite failures with RHS unbound : 0
% 0.46/1.65 # BW rewrite match attempts : 7
% 0.46/1.65 # BW rewrite match successes : 4
% 0.46/1.65 # Condensation attempts : 0
% 0.46/1.65 # Condensation successes : 0
% 0.46/1.65 # Termbank termtop insertions : 144262
% 0.46/1.65
% 0.46/1.65 # -------------------------------------------------
% 0.46/1.65 # User time : 0.174 s
% 0.46/1.65 # System time : 0.010 s
% 0.46/1.65 # Total time : 0.184 s
% 0.46/1.65 # Maximum resident set size: 12704 pages
%------------------------------------------------------------------------------