TSTP Solution File: GRP644+4 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP644+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 17:49:49 EDT 2023
% Result : Theorem 11.55s 4.69s
% Output : CNFRefutation 11.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 69 ( 21 unt; 0 def)
% Number of atoms : 370 ( 25 equ)
% Maximal formula atoms : 38 ( 5 avg)
% Number of connectives : 468 ( 167 ~; 165 |; 83 &)
% ( 6 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 106 ( 1 sgn; 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/tmp/tmp.izGM88P3jy/E---3.1_12687.p',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/sandbox/tmp/tmp.izGM88P3jy/E---3.1_12687.p',dt_k1_latsubgr) ).
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.izGM88P3jy/E---3.1_12687.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.izGM88P3jy/E---3.1_12687.p',t51_group_2) ).
fof(t22_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] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
=> r2_hidden(k3_group_1(X1,X3),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.izGM88P3jy/E---3.1_12687.p',t22_latsubgr) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.izGM88P3jy/E---3.1_12687.p',t1_subset) ).
fof(cc1_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> v4_group_1(X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.izGM88P3jy/E---3.1_12687.p',cc1_group_2) ).
fof(dt_m1_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.izGM88P3jy/E---3.1_12687.p',dt_m1_group_2) ).
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/sandbox/tmp/tmp.izGM88P3jy/E---3.1_12687.p',dt_k3_group_1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/tmp/tmp.izGM88P3jy/E---3.1_12687.p',t7_boole) ).
fof(d2_subset_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) )
& ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.izGM88P3jy/E---3.1_12687.p',d2_subset_1) ).
fof(c_0_11,plain,
! [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) ) ) ) ),
inference(fof_simplification,[status(thm)],[d1_latsubgr]) ).
fof(c_0_12,plain,
! [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))) ) ),
inference(fof_simplification,[status(thm)],[dt_k1_latsubgr]) ).
fof(c_0_13,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_14,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_15,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] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
=> r2_hidden(k3_group_1(X1,X3),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t22_latsubgr])]) ).
fof(c_0_16,plain,
! [X116,X117,X118] :
( ( X117 != k1_latsubgr(X116)
| ~ v1_group_1(X118)
| ~ m1_group_2(X118,X116)
| k1_funct_1(X117,X118) = u1_struct_0(X118)
| ~ v1_funct_1(X117)
| ~ v1_funct_2(X117,k1_group_3(X116),k1_zfmisc_1(u1_struct_0(X116)))
| ~ m2_relset_1(X117,k1_group_3(X116),k1_zfmisc_1(u1_struct_0(X116)))
| v3_struct_0(X116)
| ~ v3_group_1(X116)
| ~ v4_group_1(X116)
| ~ l1_group_1(X116) )
& ( v1_group_1(esk10_2(X116,X117))
| X117 = k1_latsubgr(X116)
| ~ v1_funct_1(X117)
| ~ v1_funct_2(X117,k1_group_3(X116),k1_zfmisc_1(u1_struct_0(X116)))
| ~ m2_relset_1(X117,k1_group_3(X116),k1_zfmisc_1(u1_struct_0(X116)))
| v3_struct_0(X116)
| ~ v3_group_1(X116)
| ~ v4_group_1(X116)
| ~ l1_group_1(X116) )
& ( m1_group_2(esk10_2(X116,X117),X116)
| X117 = k1_latsubgr(X116)
| ~ v1_funct_1(X117)
| ~ v1_funct_2(X117,k1_group_3(X116),k1_zfmisc_1(u1_struct_0(X116)))
| ~ m2_relset_1(X117,k1_group_3(X116),k1_zfmisc_1(u1_struct_0(X116)))
| v3_struct_0(X116)
| ~ v3_group_1(X116)
| ~ v4_group_1(X116)
| ~ l1_group_1(X116) )
& ( k1_funct_1(X117,esk10_2(X116,X117)) != u1_struct_0(esk10_2(X116,X117))
| X117 = k1_latsubgr(X116)
| ~ v1_funct_1(X117)
| ~ v1_funct_2(X117,k1_group_3(X116),k1_zfmisc_1(u1_struct_0(X116)))
| ~ m2_relset_1(X117,k1_group_3(X116),k1_zfmisc_1(u1_struct_0(X116)))
| v3_struct_0(X116)
| ~ v3_group_1(X116)
| ~ v4_group_1(X116)
| ~ l1_group_1(X116) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])]) ).
fof(c_0_17,plain,
! [X115] :
( ( v1_funct_1(k1_latsubgr(X115))
| v3_struct_0(X115)
| ~ v3_group_1(X115)
| ~ v4_group_1(X115)
| ~ l1_group_1(X115) )
& ( v1_funct_2(k1_latsubgr(X115),k1_group_3(X115),k1_zfmisc_1(u1_struct_0(X115)))
| v3_struct_0(X115)
| ~ v3_group_1(X115)
| ~ v4_group_1(X115)
| ~ l1_group_1(X115) )
& ( m2_relset_1(k1_latsubgr(X115),k1_group_3(X115),k1_zfmisc_1(u1_struct_0(X115)))
| v3_struct_0(X115)
| ~ v3_group_1(X115)
| ~ v4_group_1(X115)
| ~ l1_group_1(X115) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_18,plain,
! [X181,X182,X183,X184] :
( v3_struct_0(X181)
| ~ v3_group_1(X181)
| ~ v4_group_1(X181)
| ~ l1_group_1(X181)
| ~ m1_subset_1(X182,u1_struct_0(X181))
| ~ m1_group_2(X183,X181)
| ~ m1_subset_1(X184,u1_struct_0(X183))
| X184 != X182
| k3_group_1(X183,X184) = k3_group_1(X181,X182) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_19,plain,
! [X207,X208,X209] :
( v3_struct_0(X207)
| ~ v3_group_1(X207)
| ~ l1_group_1(X207)
| ~ m1_group_2(X208,X207)
| ~ m1_subset_1(X209,u1_struct_0(X208))
| m1_subset_1(X209,u1_struct_0(X207)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_20,plain,
! [X68,X69] :
( ~ r2_hidden(X68,X69)
| m1_subset_1(X68,X69) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(c_0_21,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)
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& r2_hidden(esk3_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0))
& ~ r2_hidden(k3_group_1(esk1_0,esk3_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
cnf(c_0_22,plain,
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| v3_struct_0(X2)
| X1 != k1_latsubgr(X2)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m2_relset_1(X1,k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( v1_funct_1(k1_latsubgr(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
( v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_26,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> v4_group_1(X2) ) ),
inference(fof_simplification,[status(thm)],[cc1_group_2]) ).
fof(c_0_27,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_group_2]) ).
cnf(c_0_28,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_18]) ).
cnf(c_0_29,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_19]) ).
cnf(c_0_30,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,negated_conjecture,
r2_hidden(esk3_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_32,plain,
( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X2)
| ~ l1_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_22]),c_0_23]),c_0_24]),c_0_25]) ).
cnf(c_0_33,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_34,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_35,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_36,negated_conjecture,
v1_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_37,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_38,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_39,plain,
! [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)) ),
inference(fof_simplification,[status(thm)],[dt_k3_group_1]) ).
fof(c_0_40,plain,
! [X203,X204] :
( v3_struct_0(X203)
| ~ v3_group_1(X203)
| ~ v4_group_1(X203)
| ~ l1_group_1(X203)
| ~ m1_group_2(X204,X203)
| v4_group_1(X204) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
fof(c_0_41,plain,
! [X219,X220] :
( ( ~ v3_struct_0(X220)
| ~ m1_group_2(X220,X219)
| v3_struct_0(X219)
| ~ v3_group_1(X219)
| ~ l1_group_1(X219) )
& ( v3_group_1(X220)
| ~ m1_group_2(X220,X219)
| v3_struct_0(X219)
| ~ v3_group_1(X219)
| ~ l1_group_1(X219) )
& ( l1_group_1(X220)
| ~ m1_group_2(X220,X219)
| v3_struct_0(X219)
| ~ v3_group_1(X219)
| ~ l1_group_1(X219) ) ),
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,
( k3_group_1(X1,X2) = k3_group_1(X3,X2)
| v3_struct_0(X1)
| ~ m1_group_2(X3,X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X3)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_28]),c_0_29]) ).
cnf(c_0_43,negated_conjecture,
m1_subset_1(esk3_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_44,negated_conjecture,
k1_funct_1(k1_latsubgr(esk1_0),esk2_0) = u1_struct_0(esk2_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_32,c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37])]),c_0_38]) ).
fof(c_0_45,plain,
! [X64,X65] :
( ~ r2_hidden(X64,X65)
| ~ v1_xboole_0(X65) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(c_0_46,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) )
& ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[d2_subset_1]) ).
fof(c_0_47,plain,
! [X179,X180] :
( v3_struct_0(X179)
| ~ v3_group_1(X179)
| ~ v4_group_1(X179)
| ~ l1_group_1(X179)
| ~ m1_subset_1(X180,u1_struct_0(X179))
| m1_subset_1(k3_group_1(X179,X180),u1_struct_0(X179)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])]) ).
cnf(c_0_48,plain,
( v3_struct_0(X1)
| v4_group_1(X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_49,plain,
( v3_group_1(X1)
| v3_struct_0(X2)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,plain,
( l1_group_1(X1)
| v3_struct_0(X2)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_51,plain,
( v3_struct_0(X2)
| ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_52,negated_conjecture,
( k3_group_1(esk2_0,X1) = k3_group_1(esk1_0,X1)
| ~ m1_subset_1(X1,u1_struct_0(esk2_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_42,c_0_33]),c_0_34]),c_0_35]),c_0_37])]),c_0_38]) ).
cnf(c_0_53,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_54,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_55,plain,
! [X66,X67] :
( ( ~ m1_subset_1(X67,X66)
| r2_hidden(X67,X66)
| v1_xboole_0(X66) )
& ( ~ r2_hidden(X67,X66)
| m1_subset_1(X67,X66)
| v1_xboole_0(X66) )
& ( ~ m1_subset_1(X67,X66)
| v1_xboole_0(X67)
| ~ v1_xboole_0(X66) )
& ( ~ v1_xboole_0(X67)
| m1_subset_1(X67,X66)
| ~ v1_xboole_0(X66) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])]) ).
cnf(c_0_56,plain,
( v3_struct_0(X1)
| m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_57,negated_conjecture,
v4_group_1(esk2_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_48,c_0_33]),c_0_34]),c_0_35]),c_0_37])]),c_0_38]) ).
cnf(c_0_58,negated_conjecture,
v3_group_1(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_33]),c_0_35]),c_0_37])]),c_0_38]) ).
cnf(c_0_59,negated_conjecture,
l1_group_1(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_33]),c_0_35]),c_0_37])]),c_0_38]) ).
cnf(c_0_60,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_33]),c_0_35]),c_0_37])]),c_0_38]) ).
cnf(c_0_61,negated_conjecture,
k3_group_1(esk2_0,esk3_0) = k3_group_1(esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_62,negated_conjecture,
~ v1_xboole_0(k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(spm,[status(thm)],[c_0_54,c_0_31]) ).
cnf(c_0_63,negated_conjecture,
~ r2_hidden(k3_group_1(esk1_0,esk3_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_64,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_65,negated_conjecture,
m1_subset_1(k3_group_1(esk1_0,esk3_0),u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[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_56,c_0_53]),c_0_57]),c_0_58]),c_0_59])]),c_0_60]),c_0_61]) ).
cnf(c_0_66,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[c_0_62,c_0_44]) ).
cnf(c_0_67,negated_conjecture,
~ r2_hidden(k3_group_1(esk1_0,esk3_0),u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[c_0_63,c_0_44]) ).
cnf(c_0_68,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]),c_0_67]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP644+4 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.13 % Command : run_E %s %d THM
% 0.14/0.33 % Computer : n007.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 2400
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue Oct 3 02:48:15 EDT 2023
% 0.14/0.33 % CPUTime :
% 2.31/2.52 Running first-order model finding
% 2.31/2.52 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.izGM88P3jy/E---3.1_12687.p
% 11.55/4.69 # Version: 3.1pre001
% 11.55/4.69 # Preprocessing class: FMLLMLLLSSSNFFN.
% 11.55/4.69 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.55/4.69 # Starting new_bool_3 with 900s (3) cores
% 11.55/4.69 # Starting new_bool_1 with 900s (3) cores
% 11.55/4.69 # Starting sh5l with 300s (1) cores
% 11.55/4.69 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 300s (1) cores
% 11.55/4.69 # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 12767 completed with status 0
% 11.55/4.69 # Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 11.55/4.69 # Preprocessing class: FMLLMLLLSSSNFFN.
% 11.55/4.69 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.55/4.69 # Starting new_bool_3 with 900s (3) cores
% 11.55/4.69 # Starting new_bool_1 with 900s (3) cores
% 11.55/4.69 # Starting sh5l with 300s (1) cores
% 11.55/4.69 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 300s (1) cores
% 11.55/4.69 # SinE strategy is gf120_h_gu_R02_F100_L20000
% 11.55/4.69 # Search class: FGHSM-FSLM31-MFFFFFNN
% 11.55/4.69 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 11.55/4.69 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 135s (1) cores
% 11.55/4.69 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 12768 completed with status 0
% 11.55/4.69 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 11.55/4.69 # Preprocessing class: FMLLMLLLSSSNFFN.
% 11.55/4.69 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.55/4.69 # Starting new_bool_3 with 900s (3) cores
% 11.55/4.69 # Starting new_bool_1 with 900s (3) cores
% 11.55/4.69 # Starting sh5l with 300s (1) cores
% 11.55/4.69 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 300s (1) cores
% 11.55/4.69 # SinE strategy is gf120_h_gu_R02_F100_L20000
% 11.55/4.69 # Search class: FGHSM-FSLM31-MFFFFFNN
% 11.55/4.69 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 11.55/4.69 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 135s (1) cores
% 11.55/4.69 # Preprocessing time : 0.038 s
% 11.55/4.69 # Presaturation interreduction done
% 11.55/4.69
% 11.55/4.69 # Proof found!
% 11.55/4.69 # SZS status Theorem
% 11.55/4.69 # SZS output start CNFRefutation
% See solution above
% 11.55/4.69 # Parsed axioms : 36512
% 11.55/4.69 # Removed by relevancy pruning/SinE : 36133
% 11.55/4.69 # Initial clauses : 756
% 11.55/4.69 # Removed in clause preprocessing : 56
% 11.55/4.69 # Initial clauses in saturation : 700
% 11.55/4.69 # Processed clauses : 6043
% 11.55/4.69 # ...of these trivial : 108
% 11.55/4.69 # ...subsumed : 2434
% 11.55/4.69 # ...remaining for further processing : 3501
% 11.55/4.69 # Other redundant clauses eliminated : 206
% 11.55/4.69 # Clauses deleted for lack of memory : 0
% 11.55/4.69 # Backward-subsumed : 220
% 11.55/4.69 # Backward-rewritten : 286
% 11.55/4.69 # Generated clauses : 26612
% 11.55/4.69 # ...of the previous two non-redundant : 24907
% 11.55/4.69 # ...aggressively subsumed : 0
% 11.55/4.69 # Contextual simplify-reflections : 35
% 11.55/4.69 # Paramodulations : 26388
% 11.55/4.69 # Factorizations : 2
% 11.55/4.69 # NegExts : 0
% 11.55/4.69 # Equation resolutions : 216
% 11.55/4.69 # Total rewrite steps : 15673
% 11.55/4.69 # Propositional unsat checks : 0
% 11.55/4.69 # Propositional check models : 0
% 11.55/4.69 # Propositional check unsatisfiable : 0
% 11.55/4.69 # Propositional clauses : 0
% 11.55/4.69 # Propositional clauses after purity: 0
% 11.55/4.69 # Propositional unsat core size : 0
% 11.55/4.69 # Propositional preprocessing time : 0.000
% 11.55/4.69 # Propositional encoding time : 0.000
% 11.55/4.69 # Propositional solver time : 0.000
% 11.55/4.69 # Success case prop preproc time : 0.000
% 11.55/4.69 # Success case prop encoding time : 0.000
% 11.55/4.69 # Success case prop solver time : 0.000
% 11.55/4.69 # Current number of processed clauses : 2307
% 11.55/4.69 # Positive orientable unit clauses : 353
% 11.55/4.69 # Positive unorientable unit clauses: 0
% 11.55/4.69 # Negative unit clauses : 433
% 11.55/4.69 # Non-unit-clauses : 1521
% 11.55/4.69 # Current number of unprocessed clauses: 19906
% 11.55/4.69 # ...number of literals in the above : 72388
% 11.55/4.69 # Current number of archived formulas : 0
% 11.55/4.69 # Current number of archived clauses : 1161
% 11.55/4.69 # Clause-clause subsumption calls (NU) : 609431
% 11.55/4.69 # Rec. Clause-clause subsumption calls : 210003
% 11.55/4.69 # Non-unit clause-clause subsumptions : 1047
% 11.55/4.69 # Unit Clause-clause subsumption calls : 47426
% 11.55/4.69 # Rewrite failures with RHS unbound : 0
% 11.55/4.69 # BW rewrite match attempts : 450
% 11.55/4.69 # BW rewrite match successes : 27
% 11.55/4.69 # Condensation attempts : 0
% 11.55/4.69 # Condensation successes : 0
% 11.55/4.69 # Termbank termtop insertions : 1643100
% 11.55/4.69
% 11.55/4.69 # -------------------------------------------------
% 11.55/4.69 # User time : 1.127 s
% 11.55/4.69 # System time : 0.130 s
% 11.55/4.69 # Total time : 1.257 s
% 11.55/4.69 # Maximum resident set size: 72008 pages
% 11.55/4.69
% 11.55/4.69 # -------------------------------------------------
% 11.55/4.69 # User time : 1.941 s
% 11.55/4.69 # System time : 0.174 s
% 11.55/4.69 # Total time : 2.114 s
% 11.55/4.69 # Maximum resident set size: 57028 pages
% 11.55/4.69 % E---3.1 exiting
%------------------------------------------------------------------------------