TSTP Solution File: GRP622+1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP622+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.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 17:49:39 EDT 2023
% Result : Theorem 0.17s 0.52s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 68 ( 20 unt; 0 def)
% Number of atoms : 205 ( 4 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 217 ( 80 ~; 69 |; 43 &)
% ( 3 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 102 ( 2 sgn; 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t12_autgroup,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> r1_tarski(k4_autgroup(X1),k1_fraenkel(u1_struct_0(X1),u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.i80OMeCvlW/E---3.1_10252.p',t12_autgroup) ).
fof(dt_k4_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.i80OMeCvlW/E---3.1_10252.p',dt_k4_autgroup) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.i80OMeCvlW/E---3.1_10252.p',fc1_struct_0) ).
fof(dt_l1_group_1,axiom,
! [X1] :
( l1_group_1(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.i80OMeCvlW/E---3.1_10252.p',dt_l1_group_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( r1_tarski(X1,X2)
<=> ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i80OMeCvlW/E---3.1_10252.p',d3_tarski) ).
fof(redefinition_m2_fraenkel,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
<=> m1_subset_1(X4,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i80OMeCvlW/E---3.1_10252.p',redefinition_m2_fraenkel) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.i80OMeCvlW/E---3.1_10252.p',t1_subset) ).
fof(dt_m1_fraenkel,axiom,
! [X1,X2,X3] :
( m1_fraenkel(X3,X1,X2)
=> ( ~ v1_xboole_0(X3)
& v1_fraenkel(X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i80OMeCvlW/E---3.1_10252.p',dt_m1_fraenkel) ).
fof(dt_m2_fraenkel,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
=> ( v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m2_relset_1(X4,X1,X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i80OMeCvlW/E---3.1_10252.p',dt_m2_fraenkel) ).
fof(redefinition_k1_fraenkel,axiom,
! [X1,X2] :
( ~ v1_xboole_0(X2)
=> k1_fraenkel(X1,X2) = k1_funct_2(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.i80OMeCvlW/E---3.1_10252.p',redefinition_k1_fraenkel) ).
fof(cc1_fraenkel,axiom,
! [X1] :
( v1_fraenkel(X1)
=> ! [X2] :
( m1_subset_1(X2,X1)
=> ( v1_relat_1(X2)
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i80OMeCvlW/E---3.1_10252.p',cc1_fraenkel) ).
fof(t12_funct_2,axiom,
! [X1,X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,X1,X1)
& m2_relset_1(X2,X1,X1) )
=> r2_hidden(X2,k1_funct_2(X1,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.i80OMeCvlW/E---3.1_10252.p',t12_funct_2) ).
fof(c_0_12,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> r1_tarski(k4_autgroup(X1),k1_fraenkel(u1_struct_0(X1),u1_struct_0(X1))) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t12_autgroup])]) ).
fof(c_0_13,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k4_autgroup]) ).
fof(c_0_14,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
fof(c_0_15,plain,
! [X37] :
( ~ l1_group_1(X37)
| l1_struct_0(X37) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_group_1])]) ).
fof(c_0_16,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)
& ~ r1_tarski(k4_autgroup(esk1_0),k1_fraenkel(u1_struct_0(esk1_0),u1_struct_0(esk1_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_17,plain,
! [X26,X27,X28,X29,X30] :
( ( ~ r1_tarski(X26,X27)
| ~ r2_hidden(X28,X26)
| r2_hidden(X28,X27) )
& ( r2_hidden(esk2_2(X29,X30),X29)
| r1_tarski(X29,X30) )
& ( ~ r2_hidden(esk2_2(X29,X30),X30)
| r1_tarski(X29,X30) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])]) ).
fof(c_0_18,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
<=> m1_subset_1(X4,X3) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m2_fraenkel]) ).
fof(c_0_19,plain,
! [X36] :
( v3_struct_0(X36)
| ~ v1_group_1(X36)
| ~ v3_group_1(X36)
| ~ v4_group_1(X36)
| ~ l1_group_1(X36)
| m1_fraenkel(k4_autgroup(X36),u1_struct_0(X36),u1_struct_0(X36)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
fof(c_0_20,plain,
! [X72] :
( v3_struct_0(X72)
| ~ l1_struct_0(X72)
| ~ v1_xboole_0(u1_struct_0(X72)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).
cnf(c_0_21,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_23,plain,
! [X109,X110] :
( ~ r2_hidden(X109,X110)
| m1_subset_1(X109,X110) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_24,negated_conjecture,
~ r1_tarski(k4_autgroup(esk1_0),k1_fraenkel(u1_struct_0(esk1_0),u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
( r2_hidden(esk2_2(X1,X2),X1)
| r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_26,plain,
! [X1,X2,X3] :
( m1_fraenkel(X3,X1,X2)
=> ( ~ v1_xboole_0(X3)
& v1_fraenkel(X3) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_fraenkel]) ).
fof(c_0_27,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
=> ( v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m2_relset_1(X4,X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_fraenkel]) ).
fof(c_0_28,plain,
! [X99,X100,X101,X102] :
( ( ~ m2_fraenkel(X102,X99,X100,X101)
| m1_subset_1(X102,X101)
| v1_xboole_0(X100)
| ~ m1_fraenkel(X101,X99,X100) )
& ( ~ m1_subset_1(X102,X101)
| m2_fraenkel(X102,X99,X100,X101)
| v1_xboole_0(X100)
| ~ m1_fraenkel(X101,X99,X100) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
cnf(c_0_29,plain,
( v3_struct_0(X1)
| m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_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_19]) ).
cnf(c_0_30,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_31,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_32,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_33,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_34,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_35,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_36,plain,
! [X1,X2] :
( ~ v1_xboole_0(X2)
=> k1_fraenkel(X1,X2) = k1_funct_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k1_fraenkel]) ).
fof(c_0_37,plain,
! [X9,X10] :
( ( v1_relat_1(X10)
| ~ m1_subset_1(X10,X9)
| ~ v1_fraenkel(X9) )
& ( v1_funct_1(X10)
| ~ m1_subset_1(X10,X9)
| ~ v1_fraenkel(X9) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_fraenkel])])])]) ).
cnf(c_0_38,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_39,negated_conjecture,
r2_hidden(esk2_2(k4_autgroup(esk1_0),k1_fraenkel(u1_struct_0(esk1_0),u1_struct_0(esk1_0))),k4_autgroup(esk1_0)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_40,plain,
! [X38,X39,X40] :
( ( ~ v1_xboole_0(X40)
| ~ m1_fraenkel(X40,X38,X39) )
& ( v1_fraenkel(X40)
| ~ m1_fraenkel(X40,X38,X39) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
fof(c_0_41,plain,
! [X41,X42,X43,X44] :
( ( v1_funct_1(X44)
| ~ m2_fraenkel(X44,X41,X42,X43)
| v1_xboole_0(X42)
| ~ m1_fraenkel(X43,X41,X42) )
& ( v1_funct_2(X44,X41,X42)
| ~ m2_fraenkel(X44,X41,X42,X43)
| v1_xboole_0(X42)
| ~ m1_fraenkel(X43,X41,X42) )
& ( m2_relset_1(X44,X41,X42)
| ~ m2_fraenkel(X44,X41,X42,X43)
| v1_xboole_0(X42)
| ~ m1_fraenkel(X43,X41,X42) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])]) ).
cnf(c_0_42,plain,
( m2_fraenkel(X1,X3,X4,X2)
| v1_xboole_0(X4)
| ~ m1_subset_1(X1,X2)
| ~ m1_fraenkel(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_43,negated_conjecture,
m1_fraenkel(k4_autgroup(esk1_0),u1_struct_0(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(spm,[status(thm)],[c_0_29,c_0_22]),c_0_30]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_44,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).
fof(c_0_45,plain,
! [X97,X98] :
( v1_xboole_0(X98)
| k1_fraenkel(X97,X98) = k1_funct_2(X97,X98) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])]) ).
cnf(c_0_46,plain,
( v1_funct_1(X1)
| ~ m1_subset_1(X1,X2)
| ~ v1_fraenkel(X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,negated_conjecture,
m1_subset_1(esk2_2(k4_autgroup(esk1_0),k1_fraenkel(u1_struct_0(esk1_0),u1_struct_0(esk1_0))),k4_autgroup(esk1_0)),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_48,plain,
( v1_fraenkel(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_49,plain,
( m2_relset_1(X1,X2,X3)
| v1_xboole_0(X3)
| ~ m2_fraenkel(X1,X2,X3,X4)
| ~ m1_fraenkel(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,negated_conjecture,
( m2_fraenkel(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_autgroup(esk1_0))
| ~ m1_subset_1(X1,k4_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_51,plain,
( v1_xboole_0(X1)
| k1_fraenkel(X2,X1) = k1_funct_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_52,plain,
( v1_funct_2(X1,X2,X3)
| v1_xboole_0(X3)
| ~ m2_fraenkel(X1,X2,X3,X4)
| ~ m1_fraenkel(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_53,negated_conjecture,
( v1_funct_1(esk2_2(k4_autgroup(esk1_0),k1_fraenkel(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))
| ~ v1_fraenkel(k4_autgroup(esk1_0)) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_54,negated_conjecture,
v1_fraenkel(k4_autgroup(esk1_0)),
inference(spm,[status(thm)],[c_0_48,c_0_43]) ).
fof(c_0_55,plain,
! [X107,X108] :
( ~ v1_funct_1(X108)
| ~ v1_funct_2(X108,X107,X107)
| ~ m2_relset_1(X108,X107,X107)
| r2_hidden(X108,k1_funct_2(X107,X107)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_funct_2])]) ).
cnf(c_0_56,negated_conjecture,
( m2_relset_1(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,k4_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_43])]),c_0_44]) ).
cnf(c_0_57,negated_conjecture,
m1_subset_1(esk2_2(k4_autgroup(esk1_0),k1_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0))),k4_autgroup(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_51]),c_0_44]) ).
cnf(c_0_58,negated_conjecture,
( v1_funct_2(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,k4_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_50]),c_0_43])]),c_0_44]) ).
cnf(c_0_59,negated_conjecture,
v1_funct_1(esk2_2(k4_autgroup(esk1_0),k1_fraenkel(u1_struct_0(esk1_0),u1_struct_0(esk1_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54])]) ).
cnf(c_0_60,negated_conjecture,
~ r1_tarski(k4_autgroup(esk1_0),k1_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_51]),c_0_44]) ).
cnf(c_0_61,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_62,plain,
( r2_hidden(X1,k1_funct_2(X2,X2))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X2)
| ~ m2_relset_1(X1,X2,X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_63,negated_conjecture,
m2_relset_1(esk2_2(k4_autgroup(esk1_0),k1_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0))),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_64,negated_conjecture,
v1_funct_2(esk2_2(k4_autgroup(esk1_0),k1_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0))),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_58,c_0_57]) ).
cnf(c_0_65,negated_conjecture,
v1_funct_1(esk2_2(k4_autgroup(esk1_0),k1_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_51]),c_0_44]) ).
cnf(c_0_66,negated_conjecture,
~ r2_hidden(esk2_2(k4_autgroup(esk1_0),k1_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0))),k1_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_67,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_62,c_0_63]),c_0_64]),c_0_65])]),c_0_66]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP622+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n010.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 2400
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Oct 3 02:39:20 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.17/0.48 Running first-order model finding
% 0.17/0.48 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.i80OMeCvlW/E---3.1_10252.p
% 0.17/0.52 # Version: 3.1pre001
% 0.17/0.52 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.52 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.52 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.52 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.52 # Starting sh5l with 300s (1) cores
% 0.17/0.52 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 10372 completed with status 0
% 0.17/0.52 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.17/0.52 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.52 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.52 # No SInE strategy applied
% 0.17/0.52 # Search class: FGHSM-FFMM31-SFFFFFNN
% 0.17/0.52 # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.52 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.17/0.52 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/0.52 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.17/0.52 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.17/0.52 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 136s (1) cores
% 0.17/0.52 # G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 10382 completed with status 0
% 0.17/0.52 # Result found by G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.17/0.52 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.52 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.52 # No SInE strategy applied
% 0.17/0.52 # Search class: FGHSM-FFMM31-SFFFFFNN
% 0.17/0.52 # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.52 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.17/0.52 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/0.52 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.17/0.52 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.17/0.52 # Preprocessing time : 0.002 s
% 0.17/0.52 # Presaturation interreduction done
% 0.17/0.52
% 0.17/0.52 # Proof found!
% 0.17/0.52 # SZS status Theorem
% 0.17/0.52 # SZS output start CNFRefutation
% See solution above
% 0.17/0.52 # Parsed axioms : 69
% 0.17/0.52 # Removed by relevancy pruning/SinE : 0
% 0.17/0.52 # Initial clauses : 121
% 0.17/0.52 # Removed in clause preprocessing : 16
% 0.17/0.52 # Initial clauses in saturation : 105
% 0.17/0.52 # Processed clauses : 379
% 0.17/0.52 # ...of these trivial : 4
% 0.17/0.52 # ...subsumed : 25
% 0.17/0.52 # ...remaining for further processing : 350
% 0.17/0.52 # Other redundant clauses eliminated : 0
% 0.17/0.52 # Clauses deleted for lack of memory : 0
% 0.17/0.52 # Backward-subsumed : 0
% 0.17/0.52 # Backward-rewritten : 11
% 0.17/0.52 # Generated clauses : 306
% 0.17/0.52 # ...of the previous two non-redundant : 268
% 0.17/0.52 # ...aggressively subsumed : 0
% 0.17/0.52 # Contextual simplify-reflections : 2
% 0.17/0.52 # Paramodulations : 304
% 0.17/0.52 # Factorizations : 0
% 0.17/0.52 # NegExts : 0
% 0.17/0.52 # Equation resolutions : 2
% 0.17/0.52 # Total rewrite steps : 130
% 0.17/0.52 # Propositional unsat checks : 0
% 0.17/0.52 # Propositional check models : 0
% 0.17/0.52 # Propositional check unsatisfiable : 0
% 0.17/0.52 # Propositional clauses : 0
% 0.17/0.52 # Propositional clauses after purity: 0
% 0.17/0.52 # Propositional unsat core size : 0
% 0.17/0.52 # Propositional preprocessing time : 0.000
% 0.17/0.52 # Propositional encoding time : 0.000
% 0.17/0.52 # Propositional solver time : 0.000
% 0.17/0.52 # Success case prop preproc time : 0.000
% 0.17/0.52 # Success case prop encoding time : 0.000
% 0.17/0.52 # Success case prop solver time : 0.000
% 0.17/0.52 # Current number of processed clauses : 236
% 0.17/0.52 # Positive orientable unit clauses : 100
% 0.17/0.52 # Positive unorientable unit clauses: 0
% 0.17/0.52 # Negative unit clauses : 33
% 0.17/0.52 # Non-unit-clauses : 103
% 0.17/0.52 # Current number of unprocessed clauses: 93
% 0.17/0.52 # ...number of literals in the above : 265
% 0.17/0.52 # Current number of archived formulas : 0
% 0.17/0.52 # Current number of archived clauses : 114
% 0.17/0.52 # Clause-clause subsumption calls (NU) : 2180
% 0.17/0.52 # Rec. Clause-clause subsumption calls : 1216
% 0.17/0.52 # Non-unit clause-clause subsumptions : 11
% 0.17/0.52 # Unit Clause-clause subsumption calls : 484
% 0.17/0.52 # Rewrite failures with RHS unbound : 0
% 0.17/0.52 # BW rewrite match attempts : 8
% 0.17/0.52 # BW rewrite match successes : 4
% 0.17/0.52 # Condensation attempts : 0
% 0.17/0.52 # Condensation successes : 0
% 0.17/0.52 # Termbank termtop insertions : 10538
% 0.17/0.52
% 0.17/0.52 # -------------------------------------------------
% 0.17/0.52 # User time : 0.025 s
% 0.17/0.52 # System time : 0.004 s
% 0.17/0.52 # Total time : 0.029 s
% 0.17/0.52 # Maximum resident set size: 2012 pages
% 0.17/0.52
% 0.17/0.52 # -------------------------------------------------
% 0.17/0.52 # User time : 0.104 s
% 0.17/0.52 # System time : 0.018 s
% 0.17/0.52 # Total time : 0.123 s
% 0.17/0.52 # Maximum resident set size: 1744 pages
% 0.17/0.52 % E---3.1 exiting
%------------------------------------------------------------------------------