TSTP Solution File: GRP632+2 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP632+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 09:02:36 EDT 2022
% Result : Theorem 1.20s 123.40s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 29
% Syntax : Number of formulae : 136 ( 41 unt; 0 def)
% Number of atoms : 421 ( 55 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 465 ( 180 ~; 187 |; 67 &)
% ( 2 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-4 aty)
% Number of functors : 17 ( 17 usr; 2 con; 0-5 aty)
% Number of variables : 189 ( 13 sgn 117 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t30_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))
=> ( k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,k2_group_1(X1)),X2) = X2
& k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X2,k6_autgroup(X1,k2_group_1(X1))) = X2 ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t30_autgroup) ).
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/benchmark/Axioms/SET007/SET007+34.ax',redefinition_m2_fraenkel) ).
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/solver/bin/../tmp/theBenchmark.p',dt_k4_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/sandbox2/solver/bin/../tmp/theBenchmark.p',t13_autgroup) ).
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/benchmark/Axioms/SET007/SET007+34.ax',cc1_fraenkel) ).
fof(dt_m1_fraenkel,axiom,
! [X1,X2,X3] :
( m1_fraenkel(X3,X1,X2)
=> ( ~ v1_xboole_0(X3)
& v1_fraenkel(X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+34.ax',dt_m1_fraenkel) ).
fof(l9_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))
=> ( k1_relat_1(X2) = k2_relat_1(X2)
& k1_relat_1(X2) = u1_struct_0(X1) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',l9_autgroup) ).
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/benchmark/Axioms/SET007/SET007+34.ax',dt_m2_fraenkel) ).
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/benchmark/Axioms/SET007/SET007+200.ax',fc1_struct_0) ).
fof(dt_l1_group_1,axiom,
! [X1] :
( l1_group_1(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',dt_l1_group_1) ).
fof(fc7_relat_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> ( v1_xboole_0(k1_relat_1(X1))
& v1_relat_1(k1_relat_1(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',fc7_relat_1) ).
fof(fc5_relat_1,axiom,
! [X1] :
( ( ~ v1_xboole_0(X1)
& v1_relat_1(X1) )
=> ~ v1_xboole_0(k1_relat_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',fc5_relat_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/sandbox2/benchmark/Axioms/SET007/SET007+17.ax',dt_k6_partfun1) ).
fof(redefinition_k6_partfun1,axiom,
! [X1] : k6_partfun1(X1) = k6_relat_1(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+17.ax',redefinition_k6_partfun1) ).
fof(t126_relat_1,axiom,
! [X1] :
( v1_relat_1(X1)
=> k8_relat_1(k2_relat_1(X1),X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t126_relat_1) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+20.ax',redefinition_k7_funct_2) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',t24_autgroup) ).
fof(t36_partfun1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> k5_relat_1(k6_relat_1(X1),X3) = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+17.ax',t36_partfun1) ).
fof(t131_funct_2,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X3)
& m2_relset_1(X3,X1,X2) )
=> ( v1_partfun1(X3,X1,X2)
=> ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m2_relset_1(X3,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+20.ax',t131_funct_2) ).
fof(t29_relset_1,axiom,
! [X1] : m2_relset_1(k6_relat_1(X1),X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',t29_relset_1) ).
fof(fc2_funct_1,axiom,
! [X1] :
( v1_relat_1(k6_relat_1(X1))
& v1_funct_1(k6_relat_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+11.ax',fc2_funct_1) ).
fof(t123_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> k8_relat_1(X1,X2) = k5_relat_1(X2,k6_relat_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t123_relat_1) ).
fof(t90_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> k1_relat_1(k7_relat_1(X2,X1)) = k3_xboole_0(k1_relat_1(X2),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t90_relat_1) ).
fof(t71_relat_1,axiom,
! [X1] :
( k1_relat_1(k6_relat_1(X1)) = X1
& k2_relat_1(k6_relat_1(X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t71_relat_1) ).
fof(dt_k6_relat_1,axiom,
! [X1] : v1_relat_1(k6_relat_1(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',dt_k6_relat_1) ).
fof(t87_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> r1_tarski(k1_relat_1(k7_relat_1(X2,X1)),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t87_relat_1) ).
fof(t124_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> k8_relat_1(X1,X2) = k3_xboole_0(X2,k2_zfmisc_1(k1_relat_1(X2),X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t124_relat_1) ).
fof(d1_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
<=> r1_tarski(X3,k2_zfmisc_1(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',d1_relset_1) ).
fof(t28_relset_1,axiom,
! [X1] : r1_tarski(k6_relat_1(X1),k2_zfmisc_1(X1,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',t28_relset_1) ).
fof(c_0_29,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))
=> ( k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,k2_group_1(X1)),X2) = X2
& k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X2,k6_autgroup(X1,k2_group_1(X1))) = X2 ) ) ),
inference(assume_negation,[status(cth)],[t30_autgroup]) ).
fof(c_0_30,plain,
! [X5,X6,X7,X8,X8] :
( ( ~ m2_fraenkel(X8,X5,X6,X7)
| m1_subset_1(X8,X7)
| v1_xboole_0(X6)
| ~ m1_fraenkel(X7,X5,X6) )
& ( ~ m1_subset_1(X8,X7)
| m2_fraenkel(X8,X5,X6,X7)
| v1_xboole_0(X6)
| ~ m1_fraenkel(X7,X5,X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_m2_fraenkel])])])])])])]) ).
fof(c_0_31,negated_conjecture,
( ~ v3_struct_0(esk1082_0)
& v1_group_1(esk1082_0)
& v3_group_1(esk1082_0)
& v4_group_1(esk1082_0)
& l1_group_1(esk1082_0)
& m2_fraenkel(esk1083_0,u1_struct_0(esk1082_0),u1_struct_0(esk1082_0),k4_autgroup(esk1082_0))
& ( k7_funct_2(u1_struct_0(esk1082_0),u1_struct_0(esk1082_0),u1_struct_0(esk1082_0),k6_autgroup(esk1082_0,k2_group_1(esk1082_0)),esk1083_0) != esk1083_0
| k7_funct_2(u1_struct_0(esk1082_0),u1_struct_0(esk1082_0),u1_struct_0(esk1082_0),esk1083_0,k6_autgroup(esk1082_0,k2_group_1(esk1082_0))) != esk1083_0 ) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_29])])])])])]) ).
cnf(c_0_32,plain,
( v1_xboole_0(X3)
| m1_subset_1(X4,X1)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_33,negated_conjecture,
m2_fraenkel(esk1083_0,u1_struct_0(esk1082_0),u1_struct_0(esk1082_0),k4_autgroup(esk1082_0)),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_34,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| m1_fraenkel(k4_autgroup(X2),u1_struct_0(X2),u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k4_autgroup])])]) ).
fof(c_0_35,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v1_group_1(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k4_autgroup(X3))
| m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k1_autgroup(X3)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t13_autgroup])])])])])]) ).
fof(c_0_36,plain,
! [X3,X4] :
( ( v1_relat_1(X4)
| ~ m1_subset_1(X4,X3)
| ~ v1_fraenkel(X3) )
& ( v1_funct_1(X4)
| ~ m1_subset_1(X4,X3)
| ~ v1_fraenkel(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_fraenkel])])])])])]) ).
cnf(c_0_37,negated_conjecture,
( m1_subset_1(esk1083_0,k4_autgroup(esk1082_0))
| v1_xboole_0(u1_struct_0(esk1082_0))
| ~ m1_fraenkel(k4_autgroup(esk1082_0),u1_struct_0(esk1082_0),u1_struct_0(esk1082_0)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,plain,
( m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,negated_conjecture,
v4_group_1(esk1082_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,negated_conjecture,
v3_group_1(esk1082_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,negated_conjecture,
v1_group_1(esk1082_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_42,negated_conjecture,
l1_group_1(esk1082_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_43,negated_conjecture,
~ v3_struct_0(esk1082_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_44,plain,
! [X4,X5,X6] :
( ( ~ v1_xboole_0(X6)
| ~ m1_fraenkel(X6,X4,X5) )
& ( v1_fraenkel(X6)
| ~ m1_fraenkel(X6,X4,X5) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_m1_fraenkel])])])]) ).
fof(c_0_45,plain,
! [X3,X4] :
( ( k1_relat_1(X4) = k2_relat_1(X4)
| ~ m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k1_autgroup(X3))
| v3_struct_0(X3)
| ~ v1_group_1(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3) )
& ( k1_relat_1(X4) = u1_struct_0(X3)
| ~ m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k1_autgroup(X3))
| v3_struct_0(X3)
| ~ v1_group_1(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[l9_autgroup])])])])])])]) ).
cnf(c_0_46,plain,
( m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k4_autgroup(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_47,plain,
! [X5,X6,X7,X8] :
( ( v1_funct_1(X8)
| ~ m2_fraenkel(X8,X5,X6,X7)
| v1_xboole_0(X6)
| ~ m1_fraenkel(X7,X5,X6) )
& ( v1_funct_2(X8,X5,X6)
| ~ m2_fraenkel(X8,X5,X6,X7)
| v1_xboole_0(X6)
| ~ m1_fraenkel(X7,X5,X6) )
& ( m2_relset_1(X8,X5,X6)
| ~ m2_fraenkel(X8,X5,X6,X7)
| v1_xboole_0(X6)
| ~ m1_fraenkel(X7,X5,X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_m2_fraenkel])])])])])])]) ).
fof(c_0_48,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_struct_0(X2)
| ~ v1_xboole_0(u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_struct_0])])]) ).
fof(c_0_49,plain,
! [X2] :
( ~ l1_group_1(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_group_1])]) ).
cnf(c_0_50,plain,
( v1_relat_1(X2)
| ~ v1_fraenkel(X1)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_51,negated_conjecture,
( m1_subset_1(esk1083_0,k4_autgroup(esk1082_0))
| v1_xboole_0(u1_struct_0(esk1082_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_37,c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_52,plain,
( v1_fraenkel(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_53,plain,
! [X2] :
( ( v1_xboole_0(k1_relat_1(X2))
| ~ v1_xboole_0(X2) )
& ( v1_relat_1(k1_relat_1(X2))
| ~ v1_xboole_0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc7_relat_1])])]) ).
cnf(c_0_54,plain,
( v3_struct_0(X1)
| k1_relat_1(X2) = u1_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_55,negated_conjecture,
m2_fraenkel(esk1083_0,u1_struct_0(esk1082_0),u1_struct_0(esk1082_0),k1_autgroup(esk1082_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_33]),c_0_39]),c_0_40]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_56,plain,
( v1_xboole_0(X3)
| v1_funct_2(X4,X2,X3)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_57,plain,
( v1_xboole_0(X3)
| v1_funct_1(X4)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_58,plain,
! [X2] :
( v1_xboole_0(X2)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(k1_relat_1(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc5_relat_1])])]) ).
cnf(c_0_59,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_60,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_61,negated_conjecture,
( v1_relat_1(esk1083_0)
| v1_xboole_0(u1_struct_0(esk1082_0))
| ~ v1_fraenkel(k4_autgroup(esk1082_0)) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_62,plain,
( v3_struct_0(X1)
| v1_fraenkel(k4_autgroup(X1))
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_38]) ).
cnf(c_0_63,plain,
( v1_xboole_0(k1_relat_1(X1))
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_64,negated_conjecture,
k1_relat_1(esk1083_0) = u1_struct_0(esk1082_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_54,c_0_55]),c_0_39]),c_0_40]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_65,plain,
( v1_xboole_0(X3)
| m2_relset_1(X4,X2,X3)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_66,negated_conjecture,
( v1_funct_2(esk1083_0,u1_struct_0(esk1082_0),u1_struct_0(esk1082_0))
| v1_xboole_0(u1_struct_0(esk1082_0))
| ~ m1_fraenkel(k4_autgroup(esk1082_0),u1_struct_0(esk1082_0),u1_struct_0(esk1082_0)) ),
inference(spm,[status(thm)],[c_0_56,c_0_33]) ).
cnf(c_0_67,negated_conjecture,
( v1_funct_1(esk1083_0)
| v1_xboole_0(u1_struct_0(esk1082_0))
| ~ m1_fraenkel(k4_autgroup(esk1082_0),u1_struct_0(esk1082_0),u1_struct_0(esk1082_0)) ),
inference(spm,[status(thm)],[c_0_57,c_0_33]) ).
cnf(c_0_68,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(k1_relat_1(X1))
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_69,plain,
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_70,negated_conjecture,
( v1_relat_1(esk1083_0)
| v1_xboole_0(u1_struct_0(esk1082_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_61,c_0_62]),c_0_39]),c_0_40]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_71,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1082_0))
| ~ v1_xboole_0(esk1083_0) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_72,negated_conjecture,
( m2_relset_1(esk1083_0,u1_struct_0(esk1082_0),u1_struct_0(esk1082_0))
| v1_xboole_0(u1_struct_0(esk1082_0))
| ~ m1_fraenkel(k4_autgroup(esk1082_0),u1_struct_0(esk1082_0),u1_struct_0(esk1082_0)) ),
inference(spm,[status(thm)],[c_0_65,c_0_33]) ).
fof(c_0_73,plain,
! [X2,X2] :
( v1_partfun1(k6_partfun1(X2),X2,X2)
& m2_relset_1(k6_partfun1(X2),X2,X2) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[dt_k6_partfun1])])]) ).
fof(c_0_74,plain,
! [X2] : k6_partfun1(X2) = k6_relat_1(X2),
inference(variable_rename,[status(thm)],[redefinition_k6_partfun1]) ).
fof(c_0_75,plain,
! [X2] :
( ~ v1_relat_1(X2)
| k8_relat_1(k2_relat_1(X2),X2) = X2 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t126_relat_1])]) ).
cnf(c_0_76,plain,
( v3_struct_0(X1)
| k1_relat_1(X2) = k2_relat_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_77,plain,
! [X6,X7,X8,X9,X10] :
( v1_xboole_0(X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,X6,X7)
| ~ m1_relset_1(X9,X6,X7)
| ~ v1_funct_1(X10)
| ~ v1_funct_2(X10,X7,X8)
| ~ m1_relset_1(X10,X7,X8)
| k7_funct_2(X6,X7,X8,X9,X10) = k5_relat_1(X9,X10) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k7_funct_2])])]) ).
cnf(c_0_78,negated_conjecture,
( v1_funct_2(esk1083_0,u1_struct_0(esk1082_0),u1_struct_0(esk1082_0))
| v1_xboole_0(u1_struct_0(esk1082_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_66,c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_79,negated_conjecture,
( v1_funct_1(esk1083_0)
| v1_xboole_0(u1_struct_0(esk1082_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_67,c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_80,negated_conjecture,
( v1_xboole_0(esk1083_0)
| ~ v1_relat_1(esk1083_0)
| ~ v1_xboole_0(u1_struct_0(esk1082_0)) ),
inference(spm,[status(thm)],[c_0_68,c_0_64]) ).
cnf(c_0_81,negated_conjecture,
v1_relat_1(esk1083_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_42])]),c_0_43]) ).
cnf(c_0_82,negated_conjecture,
~ v1_xboole_0(esk1083_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_71]),c_0_42])]),c_0_43]) ).
fof(c_0_83,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| k6_autgroup(X2,k2_group_1(X2)) = k6_partfun1(u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t24_autgroup])])]) ).
fof(c_0_84,plain,
! [X4,X5,X6] :
( ~ m2_relset_1(X6,X4,X5)
| k5_relat_1(k6_relat_1(X4),X6) = X6 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t36_partfun1])]) ).
cnf(c_0_85,negated_conjecture,
( m2_relset_1(esk1083_0,u1_struct_0(esk1082_0),u1_struct_0(esk1082_0))
| v1_xboole_0(u1_struct_0(esk1082_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_72,c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_42])]),c_0_43]) ).
fof(c_0_86,plain,
! [X4,X5,X6] :
( ( v1_funct_1(X6)
| ~ v1_partfun1(X6,X4,X5)
| ~ v1_funct_1(X6)
| ~ m2_relset_1(X6,X4,X5) )
& ( v1_funct_2(X6,X4,X5)
| ~ v1_partfun1(X6,X4,X5)
| ~ v1_funct_1(X6)
| ~ m2_relset_1(X6,X4,X5) )
& ( m2_relset_1(X6,X4,X5)
| ~ v1_partfun1(X6,X4,X5)
| ~ v1_funct_1(X6)
| ~ m2_relset_1(X6,X4,X5) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t131_funct_2])])]) ).
cnf(c_0_87,plain,
v1_partfun1(k6_partfun1(X1),X1,X1),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_88,plain,
k6_partfun1(X1) = k6_relat_1(X1),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
fof(c_0_89,plain,
! [X2] : m2_relset_1(k6_relat_1(X2),X2,X2),
inference(variable_rename,[status(thm)],[t29_relset_1]) ).
fof(c_0_90,plain,
! [X2,X2] :
( v1_relat_1(k6_relat_1(X2))
& v1_funct_1(k6_relat_1(X2)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[fc2_funct_1])])]) ).
cnf(c_0_91,plain,
( k8_relat_1(k2_relat_1(X1),X1) = X1
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_92,negated_conjecture,
k2_relat_1(esk1083_0) = u1_struct_0(esk1082_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_55]),c_0_39]),c_0_40]),c_0_41]),c_0_42])]),c_0_43]),c_0_64]) ).
cnf(c_0_93,negated_conjecture,
( k7_funct_2(u1_struct_0(esk1082_0),u1_struct_0(esk1082_0),u1_struct_0(esk1082_0),esk1083_0,k6_autgroup(esk1082_0,k2_group_1(esk1082_0))) != esk1083_0
| k7_funct_2(u1_struct_0(esk1082_0),u1_struct_0(esk1082_0),u1_struct_0(esk1082_0),k6_autgroup(esk1082_0,k2_group_1(esk1082_0)),esk1083_0) != esk1083_0 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_94,plain,
( k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| v1_xboole_0(X2)
| ~ m1_relset_1(X5,X2,X3)
| ~ v1_funct_2(X5,X2,X3)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_95,negated_conjecture,
v1_funct_2(esk1083_0,u1_struct_0(esk1082_0),u1_struct_0(esk1082_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_78]),c_0_42])]),c_0_43]) ).
cnf(c_0_96,negated_conjecture,
v1_funct_1(esk1083_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_79]),c_0_42])]),c_0_43]) ).
cnf(c_0_97,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1082_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_81])]),c_0_82]) ).
cnf(c_0_98,plain,
( k6_autgroup(X1,k2_group_1(X1)) = k6_partfun1(u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_99,plain,
( k5_relat_1(k6_relat_1(X1),X2) = X2
| ~ m2_relset_1(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_100,negated_conjecture,
m2_relset_1(esk1083_0,u1_struct_0(esk1082_0),u1_struct_0(esk1082_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_85]),c_0_42])]),c_0_43]) ).
cnf(c_0_101,plain,
( v1_funct_2(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3)
| ~ v1_funct_1(X1)
| ~ v1_partfun1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_102,plain,
v1_partfun1(k6_relat_1(X1),X1,X1),
inference(rw,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_103,plain,
m2_relset_1(k6_relat_1(X1),X1,X1),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_104,plain,
v1_funct_1(k6_relat_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
fof(c_0_105,plain,
! [X3,X4] :
( ~ v1_relat_1(X4)
| k8_relat_1(X3,X4) = k5_relat_1(X4,k6_relat_1(X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t123_relat_1])]) ).
cnf(c_0_106,negated_conjecture,
( k8_relat_1(u1_struct_0(esk1082_0),esk1083_0) = esk1083_0
| ~ v1_relat_1(esk1083_0) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
fof(c_0_107,plain,
! [X3,X4] :
( ~ v1_relat_1(X4)
| k1_relat_1(k7_relat_1(X4,X3)) = k3_xboole_0(k1_relat_1(X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t90_relat_1])]) ).
fof(c_0_108,plain,
! [X2,X2] :
( k1_relat_1(k6_relat_1(X2)) = X2
& k2_relat_1(k6_relat_1(X2)) = X2 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[t71_relat_1])])]) ).
fof(c_0_109,plain,
! [X2] : v1_relat_1(k6_relat_1(X2)),
inference(variable_rename,[status(thm)],[dt_k6_relat_1]) ).
cnf(c_0_110,negated_conjecture,
( k7_funct_2(u1_struct_0(esk1082_0),u1_struct_0(esk1082_0),u1_struct_0(esk1082_0),esk1083_0,k6_autgroup(esk1082_0,k2_group_1(esk1082_0))) != esk1083_0
| k5_relat_1(k6_autgroup(esk1082_0,k2_group_1(esk1082_0)),esk1083_0) != esk1083_0
| ~ v1_funct_2(k6_autgroup(esk1082_0,k2_group_1(esk1082_0)),u1_struct_0(esk1082_0),u1_struct_0(esk1082_0))
| ~ m1_relset_1(k6_autgroup(esk1082_0,k2_group_1(esk1082_0)),u1_struct_0(esk1082_0),u1_struct_0(esk1082_0))
| ~ m1_relset_1(esk1083_0,u1_struct_0(esk1082_0),u1_struct_0(esk1082_0))
| ~ v1_funct_1(k6_autgroup(esk1082_0,k2_group_1(esk1082_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]),c_0_96])]),c_0_97]) ).
cnf(c_0_111,plain,
( k6_autgroup(X1,k2_group_1(X1)) = k6_relat_1(u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
inference(rw,[status(thm)],[c_0_98,c_0_88]) ).
cnf(c_0_112,negated_conjecture,
k5_relat_1(k6_relat_1(u1_struct_0(esk1082_0)),esk1083_0) = esk1083_0,
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_113,plain,
v1_funct_2(k6_relat_1(X1),X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]),c_0_104])]) ).
cnf(c_0_114,plain,
( k8_relat_1(X1,X2) = k5_relat_1(X2,k6_relat_1(X1))
| ~ v1_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_115,negated_conjecture,
k8_relat_1(u1_struct_0(esk1082_0),esk1083_0) = esk1083_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_81])]) ).
fof(c_0_116,plain,
! [X3,X4] :
( ~ v1_relat_1(X4)
| r1_tarski(k1_relat_1(k7_relat_1(X4,X3)),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t87_relat_1])]) ).
cnf(c_0_117,plain,
( k1_relat_1(k7_relat_1(X1,X2)) = k3_xboole_0(k1_relat_1(X1),X2)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_118,plain,
k1_relat_1(k6_relat_1(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_119,plain,
v1_relat_1(k6_relat_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
fof(c_0_120,plain,
! [X3,X4] :
( ~ v1_relat_1(X4)
| k8_relat_1(X3,X4) = k3_xboole_0(X4,k2_zfmisc_1(k1_relat_1(X4),X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t124_relat_1])]) ).
cnf(c_0_121,negated_conjecture,
( k7_funct_2(u1_struct_0(esk1082_0),u1_struct_0(esk1082_0),u1_struct_0(esk1082_0),esk1083_0,k6_relat_1(u1_struct_0(esk1082_0))) != esk1083_0
| ~ m1_relset_1(k6_relat_1(u1_struct_0(esk1082_0)),u1_struct_0(esk1082_0),u1_struct_0(esk1082_0))
| ~ m1_relset_1(esk1083_0,u1_struct_0(esk1082_0),u1_struct_0(esk1082_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]),c_0_113]),c_0_104]),c_0_39]),c_0_40]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_122,negated_conjecture,
k5_relat_1(esk1083_0,k6_relat_1(u1_struct_0(esk1082_0))) = esk1083_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_81])]) ).
fof(c_0_123,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( ~ m1_relset_1(X6,X4,X5)
| r1_tarski(X6,k2_zfmisc_1(X4,X5)) )
& ( ~ r1_tarski(X6,k2_zfmisc_1(X4,X5))
| m1_relset_1(X6,X4,X5) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_relset_1])])])]) ).
fof(c_0_124,plain,
! [X2] : r1_tarski(k6_relat_1(X2),k2_zfmisc_1(X2,X2)),
inference(variable_rename,[status(thm)],[t28_relset_1]) ).
cnf(c_0_125,plain,
( r1_tarski(k1_relat_1(k7_relat_1(X1,X2)),X2)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_126,plain,
k3_xboole_0(X1,X2) = k1_relat_1(k7_relat_1(k6_relat_1(X1),X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119])]) ).
cnf(c_0_127,plain,
( k8_relat_1(X1,X2) = k3_xboole_0(X2,k2_zfmisc_1(k1_relat_1(X2),X1))
| ~ v1_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_128,negated_conjecture,
( ~ m1_relset_1(k6_relat_1(u1_struct_0(esk1082_0)),u1_struct_0(esk1082_0),u1_struct_0(esk1082_0))
| ~ m1_relset_1(esk1083_0,u1_struct_0(esk1082_0),u1_struct_0(esk1082_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_94]),c_0_122]),c_0_113]),c_0_95]),c_0_104]),c_0_96])]),c_0_97]) ).
cnf(c_0_129,plain,
( m1_relset_1(X1,X2,X3)
| ~ r1_tarski(X1,k2_zfmisc_1(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_130,plain,
r1_tarski(k6_relat_1(X1),k2_zfmisc_1(X1,X1)),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_131,plain,
r1_tarski(k3_xboole_0(X1,X2),X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_125,c_0_126]),c_0_119])]) ).
cnf(c_0_132,negated_conjecture,
k3_xboole_0(esk1083_0,k2_zfmisc_1(u1_struct_0(esk1082_0),u1_struct_0(esk1082_0))) = esk1083_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_115]),c_0_64]),c_0_81])]) ).
cnf(c_0_133,negated_conjecture,
~ m1_relset_1(esk1083_0,u1_struct_0(esk1082_0),u1_struct_0(esk1082_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130])]) ).
cnf(c_0_134,negated_conjecture,
r1_tarski(esk1083_0,k2_zfmisc_1(u1_struct_0(esk1082_0),u1_struct_0(esk1082_0))),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_135,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_129]),c_0_134])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP632+2 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 04:28:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.58/23.62 eprover: CPU time limit exceeded, terminating
% 0.58/23.62 eprover: CPU time limit exceeded, terminating
% 0.58/23.62 eprover: CPU time limit exceeded, terminating
% 0.58/23.64 eprover: CPU time limit exceeded, terminating
% 0.72/46.64 eprover: CPU time limit exceeded, terminating
% 0.72/46.65 eprover: CPU time limit exceeded, terminating
% 0.72/46.66 eprover: CPU time limit exceeded, terminating
% 0.72/46.66 eprover: CPU time limit exceeded, terminating
% 0.88/69.65 eprover: CPU time limit exceeded, terminating
% 0.88/69.66 eprover: CPU time limit exceeded, terminating
% 0.88/69.68 eprover: CPU time limit exceeded, terminating
% 0.88/69.70 eprover: CPU time limit exceeded, terminating
% 1.03/92.67 eprover: CPU time limit exceeded, terminating
% 1.03/92.68 eprover: CPU time limit exceeded, terminating
% 1.03/92.70 eprover: CPU time limit exceeded, terminating
% 1.03/92.71 eprover: CPU time limit exceeded, terminating
% 1.16/115.69 eprover: CPU time limit exceeded, terminating
% 1.16/115.70 eprover: CPU time limit exceeded, terminating
% 1.16/115.72 eprover: CPU time limit exceeded, terminating
% 1.16/115.72 eprover: CPU time limit exceeded, terminating
% 1.20/123.40 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 1.20/123.40
% 1.20/123.40 # Failure: Resource limit exceeded (time)
% 1.20/123.40 # OLD status Res
% 1.20/123.40 # Preprocessing time : 0.625 s
% 1.20/123.40 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 1.20/123.40
% 1.20/123.40 # Failure: Resource limit exceeded (time)
% 1.20/123.40 # OLD status Res
% 1.20/123.40 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 1.20/123.40 # Preprocessing time : 0.118 s
% 1.20/123.40 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 1.20/123.40
% 1.20/123.40 # Failure: Resource limit exceeded (time)
% 1.20/123.40 # OLD status Res
% 1.20/123.40 # Preprocessing time : 0.559 s
% 1.20/123.40 # Running protocol protocol_eprover_f8b0f932169414d689b89e2a8b18d4600533b975 for 23 seconds:
% 1.20/123.40
% 1.20/123.40 # Failure: Resource limit exceeded (time)
% 1.20/123.40 # OLD status Res
% 1.20/123.40 # Preprocessing time : 0.754 s
% 1.20/123.40 # Running protocol protocol_eprover_fc511518e5f98a6b2c7baef820b71b6d1abb3e55 for 23 seconds:
% 1.20/123.40
% 1.20/123.40 # Failure: Resource limit exceeded (time)
% 1.20/123.40 # OLD status Res
% 1.20/123.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,02,80,1.0)
% 1.20/123.40 # Preprocessing time : 0.085 s
% 1.20/123.40 # Running protocol protocol_eprover_95b56b3f38545d2cfee43b45856d192a814b65d5 for 23 seconds:
% 1.20/123.40 # Preprocessing time : 0.557 s
% 1.20/123.40
% 1.20/123.40 # Proof found!
% 1.20/123.40 # SZS status Theorem
% 1.20/123.40 # SZS output start CNFRefutation
% See solution above
% 1.20/123.40 # Proof object total steps : 136
% 1.20/123.40 # Proof object clause steps : 77
% 1.20/123.40 # Proof object formula steps : 59
% 1.20/123.40 # Proof object conjectures : 42
% 1.20/123.40 # Proof object clause conjectures : 39
% 1.20/123.40 # Proof object formula conjectures : 3
% 1.20/123.40 # Proof object initial clauses used : 38
% 1.20/123.40 # Proof object initial formulas used : 29
% 1.20/123.40 # Proof object generating inferences : 35
% 1.20/123.40 # Proof object simplifying inferences : 107
% 1.20/123.40 # Training examples: 0 positive, 0 negative
% 1.20/123.40 # Parsed axioms : 3845
% 1.20/123.40 # Removed by relevancy pruning/SinE : 0
% 1.20/123.40 # Initial clauses : 9457
% 1.20/123.40 # Removed in clause preprocessing : 1063
% 1.20/123.40 # Initial clauses in saturation : 8394
% 1.20/123.40 # Processed clauses : 10940
% 1.20/123.40 # ...of these trivial : 217
% 1.20/123.40 # ...subsumed : 1483
% 1.20/123.40 # ...remaining for further processing : 9240
% 1.20/123.40 # Other redundant clauses eliminated : 1020
% 1.20/123.40 # Clauses deleted for lack of memory : 97765
% 1.20/123.40 # Backward-subsumed : 42
% 1.20/123.40 # Backward-rewritten : 2447
% 1.20/123.40 # Generated clauses : 180735
% 1.20/123.40 # ...of the previous two non-trivial : 173961
% 1.20/123.40 # Contextual simplify-reflections : 0
% 1.20/123.40 # Paramodulations : 179340
% 1.20/123.40 # Factorizations : 45
% 1.20/123.40 # Equation resolutions : 1350
% 1.20/123.40 # Current number of processed clauses : 6680
% 1.20/123.40 # Positive orientable unit clauses : 775
% 1.20/123.40 # Positive unorientable unit clauses: 15
% 1.20/123.40 # Negative unit clauses : 232
% 1.20/123.40 # Non-unit-clauses : 5658
% 1.20/123.40 # Current number of unprocessed clauses: 53108
% 1.20/123.40 # ...number of literals in the above : 299129
% 1.20/123.40 # Current number of archived formulas : 0
% 1.20/123.40 # Current number of archived clauses : 2512
% 1.20/123.40 # Clause-clause subsumption calls (NU) : 5656349
% 1.20/123.40 # Rec. Clause-clause subsumption calls : 566650
% 1.20/123.40 # Non-unit clause-clause subsumptions : 1061
% 1.20/123.40 # Unit Clause-clause subsumption calls : 1179226
% 1.20/123.40 # Rewrite failures with RHS unbound : 178
% 1.20/123.40 # BW rewrite match attempts : 839
% 1.20/123.40 # BW rewrite match successes : 673
% 1.20/123.40 # Condensation attempts : 0
% 1.20/123.40 # Condensation successes : 0
% 1.20/123.40 # Termbank termtop insertions : 5626665
% 1.20/123.40
% 1.20/123.40 # -------------------------------------------------
% 1.20/123.40 # User time : 6.937 s
% 1.20/123.40 # System time : 0.118 s
% 1.20/123.40 # Total time : 7.055 s
% 1.20/123.40 # Maximum resident set size: 165044 pages
% 1.20/138.71 eprover: CPU time limit exceeded, terminating
% 1.20/138.71 eprover: CPU time limit exceeded, terminating
% 1.20/138.72 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.20/138.72 eprover: No such file or directory
% 1.20/138.73 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.20/138.73 eprover: No such file or directory
% 1.20/138.73 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.20/138.73 eprover: No such file or directory
% 1.20/138.73 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.20/138.73 eprover: No such file or directory
% 1.20/138.73 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.20/138.73 eprover: No such file or directory
% 1.20/138.74 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.20/138.74 eprover: No such file or directory
% 1.20/138.74 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.20/138.74 eprover: No such file or directory
% 1.20/138.74 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.20/138.74 eprover: No such file or directory
% 1.20/138.74 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.20/138.74 eprover: No such file or directory
% 1.20/138.75 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.20/138.75 eprover: No such file or directory
% 1.20/138.75 eprover: CPU time limit exceeded, terminating
% 1.20/138.75 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.20/138.75 eprover: No such file or directory
% 1.20/138.76 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.20/138.76 eprover: No such file or directory
% 1.20/138.76 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.20/138.76 eprover: No such file or directory
% 1.20/138.77 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.20/138.77 eprover: No such file or directory
% 1.20/138.77 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.20/138.77 eprover: No such file or directory
% 1.20/138.77 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.20/138.77 eprover: No such file or directory
% 1.20/138.77 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.20/138.77 eprover: No such file or directory
% 1.20/138.78 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.20/138.78 eprover: No such file or directory
%------------------------------------------------------------------------------