TSTP Solution File: GRP628+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP628+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n023.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:49:41 EDT 2023
% Result : Theorem 0.13s 0.44s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 55 ( 14 unt; 0 def)
% Number of atoms : 330 ( 31 equ)
% Maximal formula atoms : 30 ( 6 avg)
% Number of connectives : 432 ( 157 ~; 159 |; 76 &)
% ( 0 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 72 ( 0 sgn; 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t57_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)
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X3))
=> ( X4 = X2
=> k3_group_1(X3,X4) = k3_group_1(X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.RFGQtPgV8Q/E---3.1_893.p',t57_group_2) ).
fof(t51_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> m1_subset_1(X3,u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.RFGQtPgV8Q/E---3.1_893.p',t51_group_2) ).
fof(t22_autgroup,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_autgroup(X1)))
=> ( X2 = X3
=> k2_funct_1(X2) = k3_group_1(k5_autgroup(X1),X3) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.RFGQtPgV8Q/E---3.1_893.p',t22_autgroup) ).
fof(dt_k5_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_group_1(k5_autgroup(X1))
& v1_group_3(k5_autgroup(X1),k3_autgroup(X1))
& m1_group_2(k5_autgroup(X1),k3_autgroup(X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.RFGQtPgV8Q/E---3.1_893.p',dt_k5_autgroup) ).
fof(t11_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k3_autgroup(X1)))
=> ( X2 = X3
=> k2_funct_1(X2) = k3_group_1(k3_autgroup(X1),X3) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.RFGQtPgV8Q/E---3.1_893.p',t11_autgroup) ).
fof(t13_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
=> m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.RFGQtPgV8Q/E---3.1_893.p',t13_autgroup) ).
fof(dt_k3_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( ~ v3_struct_0(k3_autgroup(X1))
& v1_group_1(k3_autgroup(X1))
& v3_group_1(k3_autgroup(X1))
& v4_group_1(k3_autgroup(X1))
& l1_group_1(k3_autgroup(X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.RFGQtPgV8Q/E---3.1_893.p',dt_k3_autgroup) ).
fof(c_0_7,plain,
! [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)
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X3))
=> ( X4 = X2
=> k3_group_1(X3,X4) = k3_group_1(X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t57_group_2]) ).
fof(c_0_8,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> m1_subset_1(X3,u1_struct_0(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t51_group_2]) ).
fof(c_0_9,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_autgroup(X1)))
=> ( X2 = X3
=> k2_funct_1(X2) = k3_group_1(k5_autgroup(X1),X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t22_autgroup])]) ).
fof(c_0_10,plain,
! [X13,X14,X15,X16] :
( v3_struct_0(X13)
| ~ v3_group_1(X13)
| ~ v4_group_1(X13)
| ~ l1_group_1(X13)
| ~ m1_subset_1(X14,u1_struct_0(X13))
| ~ m1_group_2(X15,X13)
| ~ m1_subset_1(X16,u1_struct_0(X15))
| X16 != X14
| k3_group_1(X15,X16) = k3_group_1(X13,X14) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_11,plain,
! [X40,X41,X42] :
( v3_struct_0(X40)
| ~ v3_group_1(X40)
| ~ l1_group_1(X40)
| ~ m1_group_2(X41,X40)
| ~ m1_subset_1(X42,u1_struct_0(X41))
| m1_subset_1(X42,u1_struct_0(X40)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_12,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)
& m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_autgroup(esk1_0))
& m1_subset_1(esk3_0,u1_struct_0(k5_autgroup(esk1_0)))
& esk2_0 = esk3_0
& k2_funct_1(esk2_0) != k3_group_1(k5_autgroup(esk1_0),esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
cnf(c_0_13,plain,
( v3_struct_0(X1)
| k3_group_1(X3,X4) = k3_group_1(X1,X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_group_2(X3,X1)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| X4 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( v3_struct_0(X1)
| m1_subset_1(X3,u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(k5_autgroup(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,negated_conjecture,
esk2_0 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_17,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_group_1(k5_autgroup(X1))
& v1_group_3(k5_autgroup(X1),k3_autgroup(X1))
& m1_group_2(k5_autgroup(X1),k3_autgroup(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k5_autgroup]) ).
fof(c_0_18,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k3_autgroup(X1)))
=> ( X2 = X3
=> k2_funct_1(X2) = k3_group_1(k3_autgroup(X1),X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[t11_autgroup]) ).
fof(c_0_19,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
=> m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ) ),
inference(fof_simplification,[status(thm)],[t13_autgroup]) ).
cnf(c_0_20,plain,
( k3_group_1(X1,X2) = k3_group_1(X3,X2)
| v3_struct_0(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_13]),c_0_14]) ).
cnf(c_0_21,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(k5_autgroup(esk1_0))),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_22,plain,
! [X17] :
( ( v1_group_1(k5_autgroup(X17))
| v3_struct_0(X17)
| ~ v1_group_1(X17)
| ~ v3_group_1(X17)
| ~ v4_group_1(X17)
| ~ l1_group_1(X17) )
& ( v1_group_3(k5_autgroup(X17),k3_autgroup(X17))
| v3_struct_0(X17)
| ~ v1_group_1(X17)
| ~ v3_group_1(X17)
| ~ v4_group_1(X17)
| ~ l1_group_1(X17) )
& ( m1_group_2(k5_autgroup(X17),k3_autgroup(X17))
| v3_struct_0(X17)
| ~ v1_group_1(X17)
| ~ v3_group_1(X17)
| ~ v4_group_1(X17)
| ~ l1_group_1(X17) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_23,plain,
! [X10,X11,X12] :
( v3_struct_0(X10)
| ~ v1_group_1(X10)
| ~ v3_group_1(X10)
| ~ v4_group_1(X10)
| ~ l1_group_1(X10)
| ~ m2_fraenkel(X11,u1_struct_0(X10),u1_struct_0(X10),k1_autgroup(X10))
| ~ m1_subset_1(X12,u1_struct_0(k3_autgroup(X10)))
| X11 != X12
| k2_funct_1(X11) = k3_group_1(k3_autgroup(X10),X12) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
fof(c_0_24,plain,
! [X49,X50] :
( v3_struct_0(X49)
| ~ v1_group_1(X49)
| ~ v3_group_1(X49)
| ~ v4_group_1(X49)
| ~ l1_group_1(X49)
| ~ m2_fraenkel(X50,u1_struct_0(X49),u1_struct_0(X49),k4_autgroup(X49))
| m2_fraenkel(X50,u1_struct_0(X49),u1_struct_0(X49),k1_autgroup(X49)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
cnf(c_0_25,negated_conjecture,
k2_funct_1(esk2_0) != k3_group_1(k5_autgroup(esk1_0),esk3_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_26,negated_conjecture,
( k3_group_1(X1,esk2_0) = k3_group_1(k5_autgroup(esk1_0),esk2_0)
| v3_struct_0(X1)
| ~ m1_group_2(k5_autgroup(esk1_0),X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,plain,
( m1_group_2(k5_autgroup(X1),k3_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_29,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_30,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_31,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_32,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_33,plain,
( v3_struct_0(X1)
| k2_funct_1(X2) = k3_group_1(k3_autgroup(X1),X3)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ m1_subset_1(X3,u1_struct_0(k3_autgroup(X1)))
| X2 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34,plain,
( v3_struct_0(X1)
| m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_35,negated_conjecture,
m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_autgroup(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_36,negated_conjecture,
k3_group_1(k5_autgroup(esk1_0),esk2_0) != k2_funct_1(esk2_0),
inference(rw,[status(thm)],[c_0_25,c_0_16]) ).
cnf(c_0_37,negated_conjecture,
( k3_group_1(k5_autgroup(esk1_0),esk2_0) = k3_group_1(k3_autgroup(esk1_0),esk2_0)
| v3_struct_0(k3_autgroup(esk1_0))
| ~ l1_group_1(k3_autgroup(esk1_0))
| ~ v4_group_1(k3_autgroup(esk1_0))
| ~ v3_group_1(k3_autgroup(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_26,c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_38,plain,
( k3_group_1(k3_autgroup(X1),X2) = k2_funct_1(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X1)))
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(er,[status(thm)],[c_0_33]) ).
cnf(c_0_39,negated_conjecture,
m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(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_34,c_0_35]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_40,negated_conjecture,
( m1_subset_1(esk2_0,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ m1_group_2(k5_autgroup(esk1_0),X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_21]) ).
fof(c_0_41,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( ~ v3_struct_0(k3_autgroup(X1))
& v1_group_1(k3_autgroup(X1))
& v3_group_1(k3_autgroup(X1))
& v4_group_1(k3_autgroup(X1))
& l1_group_1(k3_autgroup(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k3_autgroup]) ).
cnf(c_0_42,negated_conjecture,
( v3_struct_0(k3_autgroup(esk1_0))
| k3_group_1(k3_autgroup(esk1_0),esk2_0) != k2_funct_1(esk2_0)
| ~ l1_group_1(k3_autgroup(esk1_0))
| ~ v4_group_1(k3_autgroup(esk1_0))
| ~ v3_group_1(k3_autgroup(esk1_0)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,negated_conjecture,
( k3_group_1(k3_autgroup(esk1_0),esk2_0) = k2_funct_1(esk2_0)
| ~ m1_subset_1(esk2_0,u1_struct_0(k3_autgroup(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_38,c_0_39]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_44,negated_conjecture,
( m1_subset_1(esk2_0,u1_struct_0(k3_autgroup(esk1_0)))
| v3_struct_0(k3_autgroup(esk1_0))
| ~ l1_group_1(k3_autgroup(esk1_0))
| ~ v3_group_1(k3_autgroup(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_40,c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]),c_0_32]) ).
fof(c_0_45,plain,
! [X68] :
( ( ~ v3_struct_0(k3_autgroup(X68))
| v3_struct_0(X68)
| ~ v1_group_1(X68)
| ~ v3_group_1(X68)
| ~ v4_group_1(X68)
| ~ l1_group_1(X68) )
& ( v1_group_1(k3_autgroup(X68))
| v3_struct_0(X68)
| ~ v1_group_1(X68)
| ~ v3_group_1(X68)
| ~ v4_group_1(X68)
| ~ l1_group_1(X68) )
& ( v3_group_1(k3_autgroup(X68))
| v3_struct_0(X68)
| ~ v1_group_1(X68)
| ~ v3_group_1(X68)
| ~ v4_group_1(X68)
| ~ l1_group_1(X68) )
& ( v4_group_1(k3_autgroup(X68))
| v3_struct_0(X68)
| ~ v1_group_1(X68)
| ~ v3_group_1(X68)
| ~ v4_group_1(X68)
| ~ l1_group_1(X68) )
& ( l1_group_1(k3_autgroup(X68))
| v3_struct_0(X68)
| ~ v1_group_1(X68)
| ~ v3_group_1(X68)
| ~ v4_group_1(X68)
| ~ l1_group_1(X68) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])]) ).
cnf(c_0_46,negated_conjecture,
( v3_struct_0(k3_autgroup(esk1_0))
| ~ l1_group_1(k3_autgroup(esk1_0))
| ~ v4_group_1(k3_autgroup(esk1_0))
| ~ v3_group_1(k3_autgroup(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_47,plain,
( v4_group_1(k3_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_48,negated_conjecture,
( v3_struct_0(k3_autgroup(esk1_0))
| ~ l1_group_1(k3_autgroup(esk1_0))
| ~ v3_group_1(k3_autgroup(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_46,c_0_47]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_49,plain,
( v3_group_1(k3_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_50,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k3_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_51,negated_conjecture,
( v3_struct_0(k3_autgroup(esk1_0))
| ~ l1_group_1(k3_autgroup(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_48,c_0_49]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_52,negated_conjecture,
~ l1_group_1(k3_autgroup(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_50,c_0_51]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_53,plain,
( l1_group_1(k3_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_54,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_52,c_0_53]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]),c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP628+1 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.09 % Command : run_E %s %d THM
% 0.09/0.29 % Computer : n023.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 : 2400
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Oct 3 02:42:37 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.13/0.40 Running first-order model finding
% 0.13/0.40 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.RFGQtPgV8Q/E---3.1_893.p
% 0.13/0.44 # Version: 3.1pre001
% 0.13/0.44 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.44 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.13/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.13/0.44 # Starting sh5l with 300s (1) cores
% 0.13/0.44 # sh5l with pid 987 completed with status 0
% 0.13/0.44 # Result found by sh5l
% 0.13/0.44 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.44 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.13/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.13/0.44 # Starting sh5l with 300s (1) cores
% 0.13/0.44 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.13/0.44 # Search class: FGHSM-FSMM31-SFFFFFNN
% 0.13/0.44 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.44 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 181s (1) cores
% 0.13/0.44 # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with pid 990 completed with status 0
% 0.13/0.44 # Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N
% 0.13/0.44 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.44 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.13/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.13/0.44 # Starting sh5l with 300s (1) cores
% 0.13/0.44 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.13/0.44 # Search class: FGHSM-FSMM31-SFFFFFNN
% 0.13/0.44 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.44 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 181s (1) cores
% 0.13/0.44 # Preprocessing time : 0.002 s
% 0.13/0.44 # Presaturation interreduction done
% 0.13/0.44
% 0.13/0.44 # Proof found!
% 0.13/0.44 # SZS status Theorem
% 0.13/0.44 # SZS output start CNFRefutation
% See solution above
% 0.13/0.44 # Parsed axioms : 77
% 0.13/0.44 # Removed by relevancy pruning/SinE : 9
% 0.13/0.44 # Initial clauses : 143
% 0.13/0.44 # Removed in clause preprocessing : 8
% 0.13/0.44 # Initial clauses in saturation : 135
% 0.13/0.44 # Processed clauses : 423
% 0.13/0.44 # ...of these trivial : 1
% 0.13/0.44 # ...subsumed : 55
% 0.13/0.44 # ...remaining for further processing : 367
% 0.13/0.44 # Other redundant clauses eliminated : 2
% 0.13/0.44 # Clauses deleted for lack of memory : 0
% 0.13/0.44 # Backward-subsumed : 22
% 0.13/0.44 # Backward-rewritten : 7
% 0.13/0.44 # Generated clauses : 250
% 0.13/0.44 # ...of the previous two non-redundant : 227
% 0.13/0.44 # ...aggressively subsumed : 0
% 0.13/0.44 # Contextual simplify-reflections : 6
% 0.13/0.44 # Paramodulations : 248
% 0.13/0.44 # Factorizations : 0
% 0.13/0.44 # NegExts : 0
% 0.13/0.44 # Equation resolutions : 2
% 0.13/0.44 # Total rewrite steps : 97
% 0.13/0.44 # Propositional unsat checks : 0
% 0.13/0.44 # Propositional check models : 0
% 0.13/0.44 # Propositional check unsatisfiable : 0
% 0.13/0.44 # Propositional clauses : 0
% 0.13/0.44 # Propositional clauses after purity: 0
% 0.13/0.44 # Propositional unsat core size : 0
% 0.13/0.44 # Propositional preprocessing time : 0.000
% 0.13/0.44 # Propositional encoding time : 0.000
% 0.13/0.44 # Propositional solver time : 0.000
% 0.13/0.44 # Success case prop preproc time : 0.000
% 0.13/0.44 # Success case prop encoding time : 0.000
% 0.13/0.44 # Success case prop solver time : 0.000
% 0.13/0.44 # Current number of processed clauses : 203
% 0.13/0.44 # Positive orientable unit clauses : 52
% 0.13/0.44 # Positive unorientable unit clauses: 0
% 0.13/0.44 # Negative unit clauses : 11
% 0.13/0.44 # Non-unit-clauses : 140
% 0.13/0.44 # Current number of unprocessed clauses: 65
% 0.13/0.44 # ...number of literals in the above : 375
% 0.13/0.44 # Current number of archived formulas : 0
% 0.13/0.44 # Current number of archived clauses : 162
% 0.13/0.44 # Clause-clause subsumption calls (NU) : 10716
% 0.13/0.44 # Rec. Clause-clause subsumption calls : 2229
% 0.13/0.44 # Non-unit clause-clause subsumptions : 81
% 0.13/0.44 # Unit Clause-clause subsumption calls : 454
% 0.13/0.44 # Rewrite failures with RHS unbound : 0
% 0.13/0.44 # BW rewrite match attempts : 4
% 0.13/0.44 # BW rewrite match successes : 3
% 0.13/0.44 # Condensation attempts : 0
% 0.13/0.44 # Condensation successes : 0
% 0.13/0.44 # Termbank termtop insertions : 13786
% 0.13/0.44
% 0.13/0.44 # -------------------------------------------------
% 0.13/0.44 # User time : 0.027 s
% 0.13/0.44 # System time : 0.004 s
% 0.13/0.44 # Total time : 0.031 s
% 0.13/0.44 # Maximum resident set size: 2268 pages
% 0.13/0.44
% 0.13/0.44 # -------------------------------------------------
% 0.13/0.44 # User time : 0.028 s
% 0.13/0.44 # System time : 0.008 s
% 0.13/0.44 # Total time : 0.035 s
% 0.13/0.44 # Maximum resident set size: 1756 pages
% 0.13/0.44 % E---3.1 exiting
%------------------------------------------------------------------------------