TSTP Solution File: GRP631+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP631+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n031.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 17:49:43 EDT 2023
% Result : Theorem 1.75s 0.71s
% Output : CNFRefutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 84 ( 28 unt; 0 def)
% Number of atoms : 287 ( 39 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 316 ( 113 ~; 104 |; 75 &)
% ( 1 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-6 aty)
% Number of variables : 144 ( 4 sgn; 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.BLecnGSIkN/E---3.1_18969.p',fc1_struct_0) ).
fof(dt_k6_autgroup,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m2_fraenkel(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.BLecnGSIkN/E---3.1_18969.p',dt_k6_autgroup) ).
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/tmp/tmp.BLecnGSIkN/E---3.1_18969.p',t29_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/sandbox/tmp/tmp.BLecnGSIkN/E---3.1_18969.p',dt_k4_autgroup) ).
fof(dt_l1_group_1,axiom,
! [X1] :
( l1_group_1(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/tmp/tmp.BLecnGSIkN/E---3.1_18969.p',dt_l1_group_1) ).
fof(fc2_funct_1,axiom,
! [X1] :
( v1_relat_1(k6_relat_1(X1))
& v1_funct_1(k6_relat_1(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.BLecnGSIkN/E---3.1_18969.p',fc2_funct_1) ).
fof(redefinition_k6_partfun1,axiom,
! [X1] : k6_partfun1(X1) = k6_relat_1(X1),
file('/export/starexec/sandbox/tmp/tmp.BLecnGSIkN/E---3.1_18969.p',redefinition_k6_partfun1) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.BLecnGSIkN/E---3.1_18969.p',redefinition_m2_relset_1) ).
fof(dt_k6_partfun1,axiom,
! [X1] :
( v1_partfun1(k6_partfun1(X1),X1,X1)
& m2_relset_1(k6_partfun1(X1),X1,X1) ),
file('/export/starexec/sandbox/tmp/tmp.BLecnGSIkN/E---3.1_18969.p',dt_k6_partfun1) ).
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/sandbox/tmp/tmp.BLecnGSIkN/E---3.1_18969.p',dt_m2_fraenkel) ).
fof(t24_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> k6_autgroup(X1,k2_group_1(X1)) = k6_partfun1(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.BLecnGSIkN/E---3.1_18969.p',t24_autgroup) ).
fof(redefinition_k7_funct_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X2,X3)
& m1_relset_1(X5,X2,X3) )
=> k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox/tmp/tmp.BLecnGSIkN/E---3.1_18969.p',redefinition_k7_funct_2) ).
fof(cc1_funct_2,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> ( ( v1_funct_1(X3)
& v1_partfun1(X3,X1,X2) )
=> ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.BLecnGSIkN/E---3.1_18969.p',cc1_funct_2) ).
fof(t23_funct_2,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> ( k7_relset_1(X1,X1,X1,X2,k6_partfun1(X1),X3) = X3
& k7_relset_1(X1,X2,X2,X2,X3,k6_partfun1(X2)) = X3 ) ),
file('/export/starexec/sandbox/tmp/tmp.BLecnGSIkN/E---3.1_18969.p',t23_funct_2) ).
fof(redefinition_k7_relset_1,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( m1_relset_1(X5,X1,X2)
& m1_relset_1(X6,X3,X4) )
=> k7_relset_1(X1,X2,X3,X4,X5,X6) = k5_relat_1(X5,X6) ),
file('/export/starexec/sandbox/tmp/tmp.BLecnGSIkN/E---3.1_18969.p',redefinition_k7_relset_1) ).
fof(c_0_15,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_16,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m2_fraenkel(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k6_autgroup]) ).
fof(c_0_17,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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t29_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) )
=> m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k4_autgroup]) ).
fof(c_0_19,plain,
! [X92] :
( v3_struct_0(X92)
| ~ l1_struct_0(X92)
| ~ v1_xboole_0(u1_struct_0(X92)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])]) ).
fof(c_0_20,plain,
! [X59] :
( ~ l1_group_1(X59)
| l1_struct_0(X59) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_group_1])]) ).
fof(c_0_21,plain,
! [X93] :
( v1_relat_1(k6_relat_1(X93))
& v1_funct_1(k6_relat_1(X93)) ),
inference(variable_rename,[status(thm)],[fc2_funct_1]) ).
fof(c_0_22,plain,
! [X122] : k6_partfun1(X122) = k6_relat_1(X122),
inference(variable_rename,[status(thm)],[redefinition_k6_partfun1]) ).
fof(c_0_23,plain,
! [X138,X139,X140] :
( ( ~ m2_relset_1(X140,X138,X139)
| m1_relset_1(X140,X138,X139) )
& ( ~ m1_relset_1(X140,X138,X139)
| m2_relset_1(X140,X138,X139) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_24,plain,
! [X46] :
( v1_partfun1(k6_partfun1(X46),X46,X46)
& m2_relset_1(k6_partfun1(X46),X46,X46) ),
inference(variable_rename,[status(thm)],[dt_k6_partfun1]) ).
fof(c_0_25,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_26,plain,
! [X44,X45] :
( v3_struct_0(X44)
| ~ v1_group_1(X44)
| ~ v3_group_1(X44)
| ~ v4_group_1(X44)
| ~ l1_group_1(X44)
| ~ m1_subset_1(X45,u1_struct_0(X44))
| m2_fraenkel(k6_autgroup(X44,X45),u1_struct_0(X44),u1_struct_0(X44),k4_autgroup(X44)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])]) ).
fof(c_0_27,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_28,plain,
! [X41] :
( v3_struct_0(X41)
| ~ v1_group_1(X41)
| ~ v3_group_1(X41)
| ~ v4_group_1(X41)
| ~ l1_group_1(X41)
| m1_fraenkel(k4_autgroup(X41),u1_struct_0(X41),u1_struct_0(X41)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])]) ).
cnf(c_0_29,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_31,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> k6_autgroup(X1,k2_group_1(X1)) = k6_partfun1(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[t24_autgroup]) ).
fof(c_0_32,plain,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X2,X3)
& m1_relset_1(X5,X2,X3) )
=> k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
inference(fof_simplification,[status(thm)],[redefinition_k7_funct_2]) ).
fof(c_0_33,plain,
! [X15,X16,X17] :
( ( v1_funct_1(X17)
| ~ v1_funct_1(X17)
| ~ v1_partfun1(X17,X15,X16)
| ~ m1_relset_1(X17,X15,X16) )
& ( v1_funct_2(X17,X15,X16)
| ~ v1_funct_1(X17)
| ~ v1_partfun1(X17,X15,X16)
| ~ m1_relset_1(X17,X15,X16) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_funct_2])])]) ).
cnf(c_0_34,plain,
v1_funct_1(k6_relat_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_35,plain,
k6_partfun1(X1) = k6_relat_1(X1),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_36,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_37,plain,
m2_relset_1(k6_partfun1(X1),X1,X1),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_38,plain,
! [X144,X145,X146] :
( ( k7_relset_1(X144,X144,X144,X145,k6_partfun1(X144),X146) = X146
| ~ m2_relset_1(X146,X144,X145) )
& ( k7_relset_1(X144,X145,X145,X145,X146,k6_partfun1(X145)) = X146
| ~ m2_relset_1(X146,X144,X145) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t23_funct_2])])]) ).
fof(c_0_39,plain,
! [X128,X129,X130,X131,X132,X133] :
( ~ m1_relset_1(X132,X128,X129)
| ~ m1_relset_1(X133,X130,X131)
| k7_relset_1(X128,X129,X130,X131,X132,X133) = k5_relat_1(X132,X133) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k7_relset_1])]) ).
fof(c_0_40,plain,
! [X63,X64,X65,X66] :
( ( v1_funct_1(X66)
| ~ m2_fraenkel(X66,X63,X64,X65)
| v1_xboole_0(X64)
| ~ m1_fraenkel(X65,X63,X64) )
& ( v1_funct_2(X66,X63,X64)
| ~ m2_fraenkel(X66,X63,X64,X65)
| v1_xboole_0(X64)
| ~ m1_fraenkel(X65,X63,X64) )
& ( m2_relset_1(X66,X63,X64)
| ~ m2_fraenkel(X66,X63,X64,X65)
| v1_xboole_0(X64)
| ~ m1_fraenkel(X65,X63,X64) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])]) ).
cnf(c_0_41,plain,
( v3_struct_0(X1)
| m2_fraenkel(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| ~ v1_group_1(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_26]) ).
cnf(c_0_42,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_43,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_44,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_45,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_46,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_47,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_48,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_28]) ).
cnf(c_0_49,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_50,plain,
! [X147] :
( v3_struct_0(X147)
| ~ v1_group_1(X147)
| ~ v3_group_1(X147)
| ~ v4_group_1(X147)
| ~ l1_group_1(X147)
| k6_autgroup(X147,k2_group_1(X147)) = k6_partfun1(u1_struct_0(X147)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).
fof(c_0_51,plain,
! [X123,X124,X125,X126,X127] :
( v1_xboole_0(X124)
| ~ v1_funct_1(X126)
| ~ v1_funct_2(X126,X123,X124)
| ~ m1_relset_1(X126,X123,X124)
| ~ v1_funct_1(X127)
| ~ v1_funct_2(X127,X124,X125)
| ~ m1_relset_1(X127,X124,X125)
| k7_funct_2(X123,X124,X125,X126,X127) = k5_relat_1(X126,X127) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])]) ).
cnf(c_0_52,plain,
( v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1)
| ~ v1_partfun1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_53,plain,
v1_partfun1(k6_partfun1(X1),X1,X1),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_54,plain,
v1_funct_1(k6_partfun1(X1)),
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_55,plain,
m1_relset_1(k6_partfun1(X1),X1,X1),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_56,plain,
( k7_relset_1(X1,X2,X2,X2,X3,k6_partfun1(X2)) = X3
| ~ m2_relset_1(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_57,plain,
( k7_relset_1(X2,X3,X5,X6,X1,X4) = k5_relat_1(X1,X4)
| ~ m1_relset_1(X1,X2,X3)
| ~ m1_relset_1(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_58,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_40]) ).
cnf(c_0_59,negated_conjecture,
m2_fraenkel(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_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_41,c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46])]),c_0_47]) ).
cnf(c_0_60,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_48,c_0_43]),c_0_44]),c_0_45]),c_0_46])]),c_0_47]) ).
cnf(c_0_61,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_49]),c_0_43])]) ).
cnf(c_0_62,plain,
( v3_struct_0(X1)
| k6_autgroup(X1,k2_group_1(X1)) = k6_partfun1(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_50]) ).
cnf(c_0_63,plain,
( v1_xboole_0(X1)
| k7_funct_2(X3,X1,X5,X2,X4) = k5_relat_1(X2,X4)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X3,X1)
| ~ m1_relset_1(X2,X3,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X5)
| ~ m1_relset_1(X4,X1,X5) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_64,plain,
v1_funct_2(k6_partfun1(X1),X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]),c_0_55])]) ).
cnf(c_0_65,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_40]) ).
cnf(c_0_66,plain,
( k5_relat_1(X1,k6_partfun1(X2)) = X1
| ~ m2_relset_1(X1,X3,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_55])]),c_0_36]) ).
cnf(c_0_67,negated_conjecture,
m2_relset_1(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]),c_0_61]) ).
cnf(c_0_68,plain,
( v1_funct_1(X1)
| v1_xboole_0(X3)
| ~ m2_fraenkel(X1,X2,X3,X4)
| ~ m1_fraenkel(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_69,negated_conjecture,
( 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(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_70,negated_conjecture,
k6_autgroup(esk1_0,k2_group_1(esk1_0)) = k6_partfun1(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_62,c_0_43]),c_0_44]),c_0_45]),c_0_46])]),c_0_47]) ).
cnf(c_0_71,plain,
( k7_funct_2(X1,X2,X2,X3,k6_partfun1(X2)) = k5_relat_1(X3,k6_partfun1(X2))
| v1_xboole_0(X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_55]),c_0_54])]) ).
cnf(c_0_72,negated_conjecture,
v1_funct_2(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_59]),c_0_60])]),c_0_61]) ).
cnf(c_0_73,negated_conjecture,
k5_relat_1(k6_autgroup(esk1_0,esk2_0),k6_partfun1(u1_struct_0(esk1_0))) = k6_autgroup(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_74,negated_conjecture,
m1_relset_1(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_36,c_0_67]) ).
cnf(c_0_75,negated_conjecture,
v1_funct_1(k6_autgroup(esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_59]),c_0_60])]),c_0_61]) ).
cnf(c_0_76,plain,
( k7_relset_1(X1,X1,X1,X2,k6_partfun1(X1),X3) = X3
| ~ m2_relset_1(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_77,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_partfun1(u1_struct_0(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_partfun1(u1_struct_0(esk1_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,esk2_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70]),c_0_70]) ).
cnf(c_0_78,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_partfun1(u1_struct_0(esk1_0))) = k6_autgroup(esk1_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_71,c_0_72]),c_0_73]),c_0_74]),c_0_75])]),c_0_61]) ).
cnf(c_0_79,plain,
( k5_relat_1(k6_partfun1(X1),X2) = X2
| ~ m2_relset_1(X2,X1,X3) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_57]),c_0_55])]),c_0_36]) ).
cnf(c_0_80,negated_conjecture,
k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_partfun1(u1_struct_0(esk1_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78])]) ).
cnf(c_0_81,negated_conjecture,
( k7_funct_2(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),X2,k6_autgroup(esk1_0,esk2_0)) = k5_relat_1(X2,k6_autgroup(esk1_0,esk2_0))
| ~ v1_funct_2(X2,X1,u1_struct_0(esk1_0))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk1_0))
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_72]),c_0_75])]),c_0_61]),c_0_74])]) ).
cnf(c_0_82,negated_conjecture,
k5_relat_1(k6_partfun1(u1_struct_0(esk1_0)),k6_autgroup(esk1_0,esk2_0)) = k6_autgroup(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_79,c_0_67]) ).
cnf(c_0_83,negated_conjecture,
$false,
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_80,c_0_81]),c_0_82]),c_0_64]),c_0_55]),c_0_54])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP631+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.32 % Computer : n031.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 2400
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue Oct 3 02:44:13 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.17/0.44 Running first-order model finding
% 0.17/0.45 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.BLecnGSIkN/E---3.1_18969.p
% 1.75/0.71 # Version: 3.1pre001
% 1.75/0.71 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.75/0.71 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.75/0.71 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.75/0.71 # Starting new_bool_3 with 300s (1) cores
% 1.75/0.71 # Starting new_bool_1 with 300s (1) cores
% 1.75/0.71 # Starting sh5l with 300s (1) cores
% 1.75/0.71 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 19110 completed with status 0
% 1.75/0.71 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.75/0.71 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.75/0.71 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.75/0.71 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.75/0.71 # No SInE strategy applied
% 1.75/0.71 # Search class: FGHSM-FFMM31-MFFFFFNN
% 1.75/0.71 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 1.75/0.71 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 113s (1) cores
% 1.75/0.71 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.75/0.71 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with 113s (1) cores
% 1.75/0.71 # Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 113s (1) cores
% 1.75/0.71 # Starting U----_206c_02_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 1.75/0.71 # U----_206c_02_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 19129 completed with status 0
% 1.75/0.71 # Result found by U----_206c_02_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 1.75/0.71 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.75/0.71 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.75/0.71 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.75/0.71 # No SInE strategy applied
% 1.75/0.71 # Search class: FGHSM-FFMM31-MFFFFFNN
% 1.75/0.71 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 1.75/0.71 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 113s (1) cores
% 1.75/0.71 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.75/0.71 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with 113s (1) cores
% 1.75/0.71 # Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 113s (1) cores
% 1.75/0.71 # Starting U----_206c_02_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 1.75/0.71 # Preprocessing time : 0.003 s
% 1.75/0.71 # Presaturation interreduction done
% 1.75/0.71
% 1.75/0.71 # Proof found!
% 1.75/0.71 # SZS status Theorem
% 1.75/0.71 # SZS output start CNFRefutation
% See solution above
% 1.75/0.71 # Parsed axioms : 82
% 1.75/0.71 # Removed by relevancy pruning/SinE : 0
% 1.75/0.71 # Initial clauses : 166
% 1.75/0.71 # Removed in clause preprocessing : 23
% 1.75/0.71 # Initial clauses in saturation : 143
% 1.75/0.71 # Processed clauses : 3037
% 1.75/0.71 # ...of these trivial : 69
% 1.75/0.71 # ...subsumed : 428
% 1.75/0.71 # ...remaining for further processing : 2540
% 1.75/0.71 # Other redundant clauses eliminated : 8
% 1.75/0.71 # Clauses deleted for lack of memory : 0
% 1.75/0.71 # Backward-subsumed : 25
% 1.75/0.71 # Backward-rewritten : 34
% 1.75/0.71 # Generated clauses : 18381
% 1.75/0.71 # ...of the previous two non-redundant : 16634
% 1.75/0.71 # ...aggressively subsumed : 0
% 1.75/0.71 # Contextual simplify-reflections : 57
% 1.75/0.71 # Paramodulations : 18364
% 1.75/0.71 # Factorizations : 0
% 1.75/0.71 # NegExts : 0
% 1.75/0.71 # Equation resolutions : 14
% 1.75/0.71 # Total rewrite steps : 3444
% 1.75/0.71 # Propositional unsat checks : 0
% 1.75/0.71 # Propositional check models : 0
% 1.75/0.71 # Propositional check unsatisfiable : 0
% 1.75/0.71 # Propositional clauses : 0
% 1.75/0.71 # Propositional clauses after purity: 0
% 1.75/0.71 # Propositional unsat core size : 0
% 1.75/0.71 # Propositional preprocessing time : 0.000
% 1.75/0.71 # Propositional encoding time : 0.000
% 1.75/0.71 # Propositional solver time : 0.000
% 1.75/0.71 # Success case prop preproc time : 0.000
% 1.75/0.71 # Success case prop encoding time : 0.000
% 1.75/0.71 # Success case prop solver time : 0.000
% 1.75/0.71 # Current number of processed clauses : 2341
% 1.75/0.71 # Positive orientable unit clauses : 1751
% 1.75/0.71 # Positive unorientable unit clauses: 0
% 1.75/0.71 # Negative unit clauses : 35
% 1.75/0.71 # Non-unit-clauses : 555
% 1.75/0.71 # Current number of unprocessed clauses: 13822
% 1.75/0.71 # ...number of literals in the above : 20460
% 1.75/0.71 # Current number of archived formulas : 0
% 1.75/0.71 # Current number of archived clauses : 200
% 1.75/0.71 # Clause-clause subsumption calls (NU) : 48800
% 1.75/0.71 # Rec. Clause-clause subsumption calls : 27598
% 1.75/0.71 # Non-unit clause-clause subsumptions : 432
% 1.75/0.71 # Unit Clause-clause subsumption calls : 29784
% 1.75/0.71 # Rewrite failures with RHS unbound : 0
% 1.75/0.71 # BW rewrite match attempts : 40116
% 1.75/0.71 # BW rewrite match successes : 18
% 1.75/0.71 # Condensation attempts : 0
% 1.75/0.71 # Condensation successes : 0
% 1.75/0.71 # Termbank termtop insertions : 286102
% 1.75/0.71
% 1.75/0.71 # -------------------------------------------------
% 1.75/0.71 # User time : 0.221 s
% 1.75/0.71 # System time : 0.026 s
% 1.75/0.71 # Total time : 0.247 s
% 1.75/0.71 # Maximum resident set size: 2236 pages
% 1.75/0.71
% 1.75/0.71 # -------------------------------------------------
% 1.75/0.71 # User time : 1.143 s
% 1.75/0.71 # System time : 0.078 s
% 1.75/0.71 # Total time : 1.221 s
% 1.75/0.71 # Maximum resident set size: 1768 pages
% 1.75/0.71 % E---3.1 exiting
%------------------------------------------------------------------------------