TSTP Solution File: TOP032+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : TOP032+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 : Thu Jul 21 21:25:30 EDT 2022
% Result : Theorem 0.49s 50.67s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 27
% Syntax : Number of formulae : 156 ( 57 unt; 0 def)
% Number of atoms : 667 ( 79 equ)
% Maximal formula atoms : 104 ( 4 avg)
% Number of connectives : 847 ( 336 ~; 363 |; 90 &)
% ( 8 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-4 aty)
% Number of variables : 242 ( 9 sgn 148 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(redefinition_k4_tex_4,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k4_tex_4(X1,X2) = k2_tex_4(X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',redefinition_k4_tex_4) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',existence_m1_subset_1) ).
fof(t19_tsp_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> r2_hidden(k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4),k4_tex_4(X1,X4)) )
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t19_tsp_2) ).
fof(dt_k2_tex_4,axiom,
! [X1,X2] :
( ( l1_pre_topc(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k2_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k2_tex_4) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t3_subset) ).
fof(t23_tex_4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k2_tex_4(X1,X2))
<=> k2_tex_4(X1,X3) = k2_tex_4(X1,X2) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t23_tex_4) ).
fof(dt_k4_tex_4,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> ( ~ v1_xboole_0(k4_tex_4(X1,X2))
& m1_subset_1(k4_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k4_tex_4) ).
fof(dt_m2_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m2_tsp_1(X2,X1)
=> l1_pre_topc(X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_m2_tsp_1) ).
fof(redefinition_m2_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m2_tsp_1(X2,X1)
<=> m1_pre_topc(X2,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( r1_tarski(X1,X2)
<=> ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d3_tarski) ).
fof(cc1_pre_topc,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_pre_topc(X2,X1)
=> v2_pre_topc(X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',cc1_pre_topc) ).
fof(t18_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( X4 = u1_struct_0(X2)
& ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> k5_subset_1(u1_struct_0(X1),X4,k4_tex_4(X1,X5)) = k1_struct_0(X2,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X5)) ) )
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t18_tsp_2) ).
fof(t1_tsep_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_pre_topc(X2,X1)
=> m1_subset_1(u1_struct_0(X2),k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t1_tsep_1) ).
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/solver/bin/../tmp/theBenchmark.p',redefinition_m2_relset_1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t7_boole) ).
fof(redefinition_k8_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',redefinition_k8_funct_2) ).
fof(redefinition_k5_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',redefinition_k5_subset_1) ).
fof(t11_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m2_tsp_1(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X3 = u1_struct_0(X2)
=> ( v1_tsp_2(X3,X1)
<=> v2_tsp_2(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t11_tsp_2) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t4_subset) ).
fof(commutativity_k5_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> k5_subset_1(X1,X2,X3) = k5_subset_1(X1,X3,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',commutativity_k5_subset_1) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(dt_k8_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> m1_subset_1(k8_funct_2(X1,X2,X3,X4),X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k8_funct_2) ).
fof(d2_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_1(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,X2)
=> k5_subset_1(u1_struct_0(X1),X2,k4_tex_4(X1,X3)) = k1_struct_0(X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d2_tsp_2) ).
fof(dt_l1_pre_topc,axiom,
! [X1] :
( l1_pre_topc(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_l1_pre_topc) ).
fof(d4_tsp_2,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
<=> ( v1_tsp_1(X2,X1)
& ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( v1_tsp_1(X3,X1)
& r1_tarski(X2,X3) )
=> X2 = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d4_tsp_2) ).
fof(redefinition_k1_struct_0,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k1_struct_0(X1,X2) = k1_tarski(X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',redefinition_k1_struct_0) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t2_subset) ).
fof(c_0_27,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| k4_tex_4(X3,X4) = k2_tex_4(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k4_tex_4])])]) ).
fof(c_0_28,plain,
! [X3] : m1_subset_1(esk11_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(c_0_29,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> r2_hidden(k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4),k4_tex_4(X1,X4)) )
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t19_tsp_2]) ).
fof(c_0_30,plain,
! [X3,X4] :
( ~ l1_pre_topc(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| m1_subset_1(k2_tex_4(X3,X4),k1_zfmisc_1(u1_struct_0(X3))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_tex_4])]) ).
cnf(c_0_31,plain,
( k4_tex_4(X1,X2) = k2_tex_4(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_32,plain,
m1_subset_1(esk11_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_33,negated_conjecture,
! [X8] :
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& ~ v3_struct_0(esk2_0)
& v2_tsp_2(esk2_0,esk1_0)
& m2_tsp_1(esk2_0,esk1_0)
& v1_funct_1(esk3_0)
& v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& ( ~ m1_subset_1(X8,u1_struct_0(esk1_0))
| r2_hidden(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X8),k4_tex_4(esk1_0,X8)) )
& ( ~ v1_funct_1(esk3_0)
| ~ v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v5_pre_topc(esk3_0,esk1_0,esk2_0)
| ~ m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)) ) ),
inference(shift_quantors,[status(thm)],[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_34,plain,
( m1_subset_1(k2_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,plain,
( k2_tex_4(X1,esk11_1(u1_struct_0(X1))) = k4_tex_4(X1,esk11_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_37,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_39,plain,
! [X3,X4,X3,X4] :
( ( ~ m1_subset_1(X3,k1_zfmisc_1(X4))
| r1_tarski(X3,X4) )
& ( ~ r1_tarski(X3,X4)
| m1_subset_1(X3,k1_zfmisc_1(X4)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])])]) ).
cnf(c_0_40,plain,
( m1_subset_1(k2_tex_4(X1,esk11_1(u1_struct_0(X1))),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_32]) ).
cnf(c_0_41,negated_conjecture,
k2_tex_4(esk1_0,esk11_1(u1_struct_0(esk1_0))) = k4_tex_4(esk1_0,esk11_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]),c_0_38]) ).
fof(c_0_42,plain,
! [X4,X5,X6] :
( ( ~ r2_hidden(X6,k2_tex_4(X4,X5))
| k2_tex_4(X4,X6) = k2_tex_4(X4,X5)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ l1_pre_topc(X4) )
& ( k2_tex_4(X4,X6) != k2_tex_4(X4,X5)
| r2_hidden(X6,k2_tex_4(X4,X5))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ l1_pre_topc(X4) ) ),
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)],[t23_tex_4])])])])])])]) ).
fof(c_0_43,plain,
! [X3,X4] :
( ( ~ v1_xboole_0(k4_tex_4(X3,X4))
| v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3)) )
& ( m1_subset_1(k4_tex_4(X3,X4),k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k4_tex_4])])])]) ).
fof(c_0_44,plain,
! [X3,X4] :
( ~ l1_pre_topc(X3)
| ~ m2_tsp_1(X4,X3)
| l1_pre_topc(X4) ),
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)],[dt_m2_tsp_1])])])])]) ).
fof(c_0_45,plain,
! [X3,X4,X4] :
( ( ~ m2_tsp_1(X4,X3)
| m1_pre_topc(X4,X3)
| ~ l1_pre_topc(X3) )
& ( ~ m1_pre_topc(X4,X3)
| m2_tsp_1(X4,X3)
| ~ l1_pre_topc(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)],[redefinition_m2_tsp_1])])])])])]) ).
fof(c_0_46,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ r1_tarski(X4,X5)
| ~ r2_hidden(X6,X4)
| r2_hidden(X6,X5) )
& ( r2_hidden(esk5_2(X4,X5),X4)
| r1_tarski(X4,X5) )
& ( ~ r2_hidden(esk5_2(X4,X5),X5)
| r1_tarski(X4,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])])]) ).
cnf(c_0_47,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,negated_conjecture,
m1_subset_1(k4_tex_4(esk1_0,esk11_1(u1_struct_0(esk1_0))),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_36]),c_0_41]) ).
cnf(c_0_49,plain,
( v3_struct_0(X1)
| r2_hidden(X3,k2_tex_4(X1,X2))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| k2_tex_4(X1,X3) != k2_tex_4(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_50,plain,
( v3_struct_0(X2)
| m1_subset_1(k4_tex_4(X2,X1),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,plain,
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,negated_conjecture,
m2_tsp_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_53,plain,
! [X3,X4] :
( ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3)
| ~ m1_pre_topc(X4,X3)
| v2_pre_topc(X4) ),
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_pre_topc])])])])]) ).
cnf(c_0_54,plain,
( m1_pre_topc(X2,X1)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_55,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ r1_tarski(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_56,negated_conjecture,
r1_tarski(k4_tex_4(esk1_0,esk11_1(u1_struct_0(esk1_0))),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_57,plain,
( r2_hidden(esk11_1(u1_struct_0(X1)),k2_tex_4(X1,X2))
| v3_struct_0(X1)
| k2_tex_4(X1,X2) != k2_tex_4(X1,esk11_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_32]) ).
fof(c_0_58,plain,
! [X6,X7,X8,X9] :
( ( v1_funct_1(X8)
| m1_subset_1(esk26_4(X6,X7,X8,X9),u1_struct_0(X6))
| X9 != u1_struct_0(X7)
| ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(X6)))
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| v3_struct_0(X7)
| ~ v2_tsp_2(X7,X6)
| ~ m2_tsp_1(X7,X6)
| v3_struct_0(X6)
| ~ v2_pre_topc(X6)
| ~ l1_pre_topc(X6) )
& ( v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| m1_subset_1(esk26_4(X6,X7,X8,X9),u1_struct_0(X6))
| X9 != u1_struct_0(X7)
| ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(X6)))
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| v3_struct_0(X7)
| ~ v2_tsp_2(X7,X6)
| ~ m2_tsp_1(X7,X6)
| v3_struct_0(X6)
| ~ v2_pre_topc(X6)
| ~ l1_pre_topc(X6) )
& ( v5_pre_topc(X8,X6,X7)
| m1_subset_1(esk26_4(X6,X7,X8,X9),u1_struct_0(X6))
| X9 != u1_struct_0(X7)
| ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(X6)))
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| v3_struct_0(X7)
| ~ v2_tsp_2(X7,X6)
| ~ m2_tsp_1(X7,X6)
| v3_struct_0(X6)
| ~ v2_pre_topc(X6)
| ~ l1_pre_topc(X6) )
& ( m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| m1_subset_1(esk26_4(X6,X7,X8,X9),u1_struct_0(X6))
| X9 != u1_struct_0(X7)
| ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(X6)))
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| v3_struct_0(X7)
| ~ v2_tsp_2(X7,X6)
| ~ m2_tsp_1(X7,X6)
| v3_struct_0(X6)
| ~ v2_pre_topc(X6)
| ~ l1_pre_topc(X6) )
& ( v1_funct_1(X8)
| k5_subset_1(u1_struct_0(X6),X9,k4_tex_4(X6,esk26_4(X6,X7,X8,X9))) != k1_struct_0(X7,k8_funct_2(u1_struct_0(X6),u1_struct_0(X7),X8,esk26_4(X6,X7,X8,X9)))
| X9 != u1_struct_0(X7)
| ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(X6)))
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| v3_struct_0(X7)
| ~ v2_tsp_2(X7,X6)
| ~ m2_tsp_1(X7,X6)
| v3_struct_0(X6)
| ~ v2_pre_topc(X6)
| ~ l1_pre_topc(X6) )
& ( v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| k5_subset_1(u1_struct_0(X6),X9,k4_tex_4(X6,esk26_4(X6,X7,X8,X9))) != k1_struct_0(X7,k8_funct_2(u1_struct_0(X6),u1_struct_0(X7),X8,esk26_4(X6,X7,X8,X9)))
| X9 != u1_struct_0(X7)
| ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(X6)))
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| v3_struct_0(X7)
| ~ v2_tsp_2(X7,X6)
| ~ m2_tsp_1(X7,X6)
| v3_struct_0(X6)
| ~ v2_pre_topc(X6)
| ~ l1_pre_topc(X6) )
& ( v5_pre_topc(X8,X6,X7)
| k5_subset_1(u1_struct_0(X6),X9,k4_tex_4(X6,esk26_4(X6,X7,X8,X9))) != k1_struct_0(X7,k8_funct_2(u1_struct_0(X6),u1_struct_0(X7),X8,esk26_4(X6,X7,X8,X9)))
| X9 != u1_struct_0(X7)
| ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(X6)))
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| v3_struct_0(X7)
| ~ v2_tsp_2(X7,X6)
| ~ m2_tsp_1(X7,X6)
| v3_struct_0(X6)
| ~ v2_pre_topc(X6)
| ~ l1_pre_topc(X6) )
& ( m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| k5_subset_1(u1_struct_0(X6),X9,k4_tex_4(X6,esk26_4(X6,X7,X8,X9))) != k1_struct_0(X7,k8_funct_2(u1_struct_0(X6),u1_struct_0(X7),X8,esk26_4(X6,X7,X8,X9)))
| X9 != u1_struct_0(X7)
| ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(X6)))
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| v3_struct_0(X7)
| ~ v2_tsp_2(X7,X6)
| ~ m2_tsp_1(X7,X6)
| v3_struct_0(X6)
| ~ v2_pre_topc(X6)
| ~ l1_pre_topc(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[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)],[t18_tsp_2])])])])])])])]) ).
cnf(c_0_59,negated_conjecture,
( ~ m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v5_pre_topc(esk3_0,esk1_0,esk2_0)
| ~ v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v1_funct_1(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_60,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_61,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_62,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_63,plain,
! [X3,X4] :
( ~ l1_pre_topc(X3)
| ~ m1_pre_topc(X4,X3)
| m1_subset_1(u1_struct_0(X4),k1_zfmisc_1(u1_struct_0(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)],[t1_tsep_1])])])])]) ).
cnf(c_0_64,plain,
( m1_subset_1(k4_tex_4(X1,esk11_1(u1_struct_0(X1))),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_32]) ).
cnf(c_0_65,negated_conjecture,
l1_pre_topc(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_36])]) ).
cnf(c_0_66,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_67,plain,
( v2_pre_topc(X1)
| ~ m1_pre_topc(X1,X2)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_68,negated_conjecture,
m1_pre_topc(esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_52]),c_0_36])]) ).
fof(c_0_69,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( ~ m2_relset_1(X6,X4,X5)
| m1_relset_1(X6,X4,X5) )
& ( ~ m1_relset_1(X6,X4,X5)
| m2_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)],[redefinition_m2_relset_1])])])]) ).
fof(c_0_70,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| ~ v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
cnf(c_0_71,negated_conjecture,
( r2_hidden(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,k4_tex_4(esk1_0,esk11_1(u1_struct_0(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_72,negated_conjecture,
r2_hidden(esk11_1(u1_struct_0(esk1_0)),k4_tex_4(esk1_0,esk11_1(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_57,c_0_41]),c_0_41]),c_0_32]),c_0_36])]),c_0_38]) ).
cnf(c_0_73,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_subset_1(esk26_4(X1,X2,X3,X4),u1_struct_0(X1))
| v5_pre_topc(X3,X1,X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m2_tsp_1(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| X4 != u1_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_74,negated_conjecture,
v2_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_75,negated_conjecture,
~ v5_pre_topc(esk3_0,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_62])]) ).
cnf(c_0_76,plain,
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_pre_topc(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_77,negated_conjecture,
( m1_subset_1(k4_tex_4(esk2_0,esk11_1(u1_struct_0(esk2_0))),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ v2_pre_topc(esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).
cnf(c_0_78,negated_conjecture,
v2_pre_topc(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_36]),c_0_37])]) ).
fof(c_0_79,plain,
! [X5,X6,X7,X8] :
( v1_xboole_0(X5)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,X5,X6)
| ~ m1_relset_1(X7,X5,X6)
| ~ m1_subset_1(X8,X5)
| k8_funct_2(X5,X6,X7,X8) = k1_funct_1(X7,X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k8_funct_2])])]) ).
cnf(c_0_80,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_81,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_82,negated_conjecture,
r2_hidden(esk11_1(u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_83,negated_conjecture,
( m1_subset_1(esk26_4(esk1_0,esk2_0,esk3_0,X1),u1_struct_0(esk1_0))
| X1 != u1_struct_0(esk2_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(sr,[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_62]),c_0_61]),c_0_60]),c_0_52]),c_0_74]),c_0_36]),c_0_37])]),c_0_75]),c_0_38]),c_0_66]) ).
cnf(c_0_84,negated_conjecture,
m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_68]),c_0_36])]) ).
fof(c_0_85,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4))
| k5_subset_1(X4,X5,X6) = k3_xboole_0(X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_subset_1])]) ).
fof(c_0_86,plain,
! [X4,X5,X6] :
( ( ~ v1_tsp_2(X6,X4)
| v2_tsp_2(X5,X4)
| X6 != u1_struct_0(X5)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X4)))
| ~ m2_tsp_1(X5,X4)
| v3_struct_0(X4)
| ~ l1_pre_topc(X4) )
& ( ~ v2_tsp_2(X5,X4)
| v1_tsp_2(X6,X4)
| X6 != u1_struct_0(X5)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X4)))
| ~ m2_tsp_1(X5,X4)
| v3_struct_0(X4)
| ~ l1_pre_topc(X4) ) ),
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)],[t11_tsp_2])])])])])])]) ).
cnf(c_0_87,negated_conjecture,
m1_subset_1(k4_tex_4(esk2_0,esk11_1(u1_struct_0(esk2_0))),k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78])]) ).
cnf(c_0_88,negated_conjecture,
( k2_tex_4(esk2_0,esk11_1(u1_struct_0(esk2_0))) = k4_tex_4(esk2_0,esk11_1(u1_struct_0(esk2_0)))
| ~ v2_pre_topc(esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_65]),c_0_66]) ).
cnf(c_0_89,plain,
( k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4)
| v1_xboole_0(X1)
| ~ m1_subset_1(X4,X1)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_90,negated_conjecture,
m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_80,c_0_62]) ).
cnf(c_0_91,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
fof(c_0_92,plain,
! [X4,X5,X6] :
( ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| m1_subset_1(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
cnf(c_0_93,negated_conjecture,
m1_subset_1(esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_94,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v5_pre_topc(X3,X1,X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m2_tsp_1(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| X4 != u1_struct_0(X2)
| k5_subset_1(u1_struct_0(X1),X4,k4_tex_4(X1,esk26_4(X1,X2,X3,X4))) != k1_struct_0(X2,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,esk26_4(X1,X2,X3,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
fof(c_0_95,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4))
| k5_subset_1(X4,X5,X6) = k5_subset_1(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k5_subset_1])]) ).
cnf(c_0_96,plain,
( k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
fof(c_0_97,plain,
! [X3,X4] : k3_xboole_0(X3,X4) = k3_xboole_0(X4,X3),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
fof(c_0_98,plain,
! [X5,X6,X7,X8] :
( v1_xboole_0(X5)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,X5,X6)
| ~ m1_relset_1(X7,X5,X6)
| ~ m1_subset_1(X8,X5)
| m1_subset_1(k8_funct_2(X5,X6,X7,X8),X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k8_funct_2])])]) ).
fof(c_0_99,plain,
! [X4,X5,X6] :
( ( ~ v1_tsp_1(X5,X4)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ r2_hidden(X6,X5)
| k5_subset_1(u1_struct_0(X4),X5,k4_tex_4(X4,X6)) = k1_struct_0(X4,X6)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) )
& ( m1_subset_1(esk4_2(X4,X5),u1_struct_0(X4))
| v1_tsp_1(X5,X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) )
& ( r2_hidden(esk4_2(X4,X5),X5)
| v1_tsp_1(X5,X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) )
& ( k5_subset_1(u1_struct_0(X4),X5,k4_tex_4(X4,esk4_2(X4,X5))) != k1_struct_0(X4,esk4_2(X4,X5))
| v1_tsp_1(X5,X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[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)],[d2_tsp_2])])])])])])])]) ).
cnf(c_0_100,plain,
( v3_struct_0(X1)
| v1_tsp_2(X3,X1)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| X3 != u1_struct_0(X2)
| ~ v2_tsp_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_101,negated_conjecture,
r1_tarski(k4_tex_4(esk2_0,esk11_1(u1_struct_0(esk2_0))),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_47,c_0_87]) ).
cnf(c_0_102,negated_conjecture,
k2_tex_4(esk2_0,esk11_1(u1_struct_0(esk2_0))) = k4_tex_4(esk2_0,esk11_1(u1_struct_0(esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_78])]) ).
cnf(c_0_103,negated_conjecture,
( r2_hidden(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1),k4_tex_4(esk1_0,X1))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_104,negated_conjecture,
( k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1) = k1_funct_1(esk3_0,X1)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_61]),c_0_60])]),c_0_91]) ).
cnf(c_0_105,plain,
( m1_subset_1(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r2_hidden(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_106,negated_conjecture,
m1_subset_1(k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),k1_zfmisc_1(u1_struct_0(esk1_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_93]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_107,negated_conjecture,
( k1_struct_0(esk2_0,k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,X1))) != k5_subset_1(u1_struct_0(esk1_0),X1,k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,X1)))
| X1 != u1_struct_0(esk2_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(sr,[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_62]),c_0_61]),c_0_60]),c_0_52]),c_0_74]),c_0_36]),c_0_37])]),c_0_75]),c_0_38]),c_0_66]) ).
cnf(c_0_108,plain,
( k5_subset_1(X1,X2,X3) = k5_subset_1(X1,X3,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_109,negated_conjecture,
( k5_subset_1(u1_struct_0(esk1_0),X1,u1_struct_0(esk2_0)) = k3_xboole_0(X1,u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_96,c_0_84]) ).
cnf(c_0_110,plain,
k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_111,plain,
( m1_subset_1(k8_funct_2(X1,X2,X3,X4),X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X4,X1)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
fof(c_0_112,plain,
! [X2] :
( ~ l1_pre_topc(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).
cnf(c_0_113,plain,
( v3_struct_0(X1)
| k5_subset_1(u1_struct_0(X1),X2,k4_tex_4(X1,X3)) = k1_struct_0(X1,X3)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v1_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
fof(c_0_114,plain,
! [X4,X5,X6] :
( ( v1_tsp_1(X5,X4)
| ~ v1_tsp_2(X5,X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| ~ l1_pre_topc(X4) )
& ( ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X4)))
| ~ v1_tsp_1(X6,X4)
| ~ r1_tarski(X5,X6)
| X5 = X6
| ~ v1_tsp_2(X5,X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| ~ l1_pre_topc(X4) )
& ( m1_subset_1(esk6_2(X4,X5),k1_zfmisc_1(u1_struct_0(X4)))
| ~ v1_tsp_1(X5,X4)
| v1_tsp_2(X5,X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| ~ l1_pre_topc(X4) )
& ( v1_tsp_1(esk6_2(X4,X5),X4)
| ~ v1_tsp_1(X5,X4)
| v1_tsp_2(X5,X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| ~ l1_pre_topc(X4) )
& ( r1_tarski(X5,esk6_2(X4,X5))
| ~ v1_tsp_1(X5,X4)
| v1_tsp_2(X5,X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| ~ l1_pre_topc(X4) )
& ( X5 != esk6_2(X4,X5)
| ~ v1_tsp_1(X5,X4)
| v1_tsp_2(X5,X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| ~ l1_pre_topc(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_tsp_2])])])])])])]) ).
cnf(c_0_115,negated_conjecture,
( v1_tsp_2(u1_struct_0(esk2_0),esk1_0)
| u1_struct_0(esk2_0) != u1_struct_0(X1)
| ~ m2_tsp_1(X1,esk1_0)
| ~ v2_tsp_2(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_84]),c_0_36])]),c_0_38]) ).
cnf(c_0_116,negated_conjecture,
( r2_hidden(X1,u1_struct_0(esk2_0))
| ~ r2_hidden(X1,k4_tex_4(esk2_0,esk11_1(u1_struct_0(esk2_0)))) ),
inference(spm,[status(thm)],[c_0_55,c_0_101]) ).
cnf(c_0_117,negated_conjecture,
r2_hidden(esk11_1(u1_struct_0(esk2_0)),k4_tex_4(esk2_0,esk11_1(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_57,c_0_102]),c_0_102]),c_0_32]),c_0_65])]),c_0_66]) ).
cnf(c_0_118,negated_conjecture,
r2_hidden(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))),
inference(spm,[status(thm)],[c_0_103,c_0_93]) ).
cnf(c_0_119,negated_conjecture,
k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))) = k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),
inference(spm,[status(thm)],[c_0_104,c_0_93]) ).
cnf(c_0_120,plain,
( v3_struct_0(X1)
| k2_tex_4(X1,X3) = k2_tex_4(X1,X2)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X3,k2_tex_4(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_121,negated_conjecture,
k2_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))) = k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_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_31,c_0_93]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_122,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_123,negated_conjecture,
k1_struct_0(esk2_0,k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) != k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))),
inference(spm,[status(thm)],[c_0_107,c_0_84]) ).
cnf(c_0_124,negated_conjecture,
( k5_subset_1(u1_struct_0(esk1_0),X1,u1_struct_0(esk2_0)) = k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_108,c_0_84]) ).
cnf(c_0_125,negated_conjecture,
k5_subset_1(u1_struct_0(esk1_0),k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),u1_struct_0(esk2_0)) = k3_xboole_0(u1_struct_0(esk2_0),k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_106]),c_0_110]) ).
fof(c_0_126,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ l1_struct_0(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| k1_struct_0(X3,X4) = k1_tarski(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k1_struct_0])])]) ).
cnf(c_0_127,negated_conjecture,
( m1_subset_1(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1),u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_90]),c_0_61]),c_0_60])]),c_0_91]) ).
cnf(c_0_128,plain,
( l1_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_129,plain,
( k5_subset_1(u1_struct_0(X1),X2,k4_tex_4(X1,X3)) = k1_struct_0(X1,X3)
| v3_struct_0(X1)
| ~ v1_tsp_1(X2,X1)
| ~ r2_hidden(X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(csr,[status(thm)],[c_0_113,c_0_105]) ).
cnf(c_0_130,plain,
( v1_tsp_1(X2,X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_131,negated_conjecture,
v1_tsp_2(u1_struct_0(esk2_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_52]),c_0_74])]) ).
fof(c_0_132,plain,
! [X3,X4] :
( ~ m1_subset_1(X3,X4)
| v1_xboole_0(X4)
| r2_hidden(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_133,negated_conjecture,
r2_hidden(esk11_1(u1_struct_0(esk2_0)),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_134,negated_conjecture,
r2_hidden(k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))),
inference(rw,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_135,negated_conjecture,
( k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))) = k2_tex_4(esk1_0,X1)
| ~ r2_hidden(X1,k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_93]),c_0_36])]),c_0_38]),c_0_122]) ).
cnf(c_0_136,negated_conjecture,
k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) != k1_struct_0(esk2_0,k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))),
inference(rw,[status(thm)],[c_0_123,c_0_119]) ).
cnf(c_0_137,negated_conjecture,
k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) = k3_xboole_0(u1_struct_0(esk2_0),k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_106]),c_0_125]) ).
cnf(c_0_138,plain,
( k1_struct_0(X1,X2) = k1_tarski(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_139,negated_conjecture,
m1_subset_1(k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_93]),c_0_119]) ).
cnf(c_0_140,negated_conjecture,
l1_struct_0(esk2_0),
inference(spm,[status(thm)],[c_0_128,c_0_65]) ).
cnf(c_0_141,negated_conjecture,
( k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k4_tex_4(esk1_0,X1)) = k1_struct_0(esk1_0,X1)
| ~ v1_tsp_1(u1_struct_0(esk2_0),esk1_0)
| ~ r2_hidden(X1,u1_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_129,c_0_84]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_142,negated_conjecture,
v1_tsp_1(u1_struct_0(esk2_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_84]),c_0_36])]),c_0_131])]) ).
cnf(c_0_143,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_144,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_81,c_0_133]) ).
cnf(c_0_145,negated_conjecture,
m1_subset_1(k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_122,c_0_134]) ).
cnf(c_0_146,negated_conjecture,
k2_tex_4(esk1_0,k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) = k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),
inference(spm,[status(thm)],[c_0_135,c_0_134]) ).
cnf(c_0_147,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_128,c_0_36]) ).
cnf(c_0_148,negated_conjecture,
k1_struct_0(esk2_0,k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) != k3_xboole_0(u1_struct_0(esk2_0),k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))),
inference(rw,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_149,negated_conjecture,
k1_struct_0(esk2_0,k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) = k1_tarski(k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140])]),c_0_66]) ).
cnf(c_0_150,negated_conjecture,
( k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k4_tex_4(esk1_0,X1)) = k1_struct_0(esk1_0,X1)
| ~ r2_hidden(X1,u1_struct_0(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_142])]) ).
cnf(c_0_151,negated_conjecture,
r2_hidden(k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_139]),c_0_144]) ).
cnf(c_0_152,negated_conjecture,
k4_tex_4(esk1_0,k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) = k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_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(spm,[status(thm)],[c_0_31,c_0_145]),c_0_146]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_153,negated_conjecture,
k1_struct_0(esk1_0,k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) = k1_tarski(k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_145]),c_0_147])]),c_0_38]) ).
cnf(c_0_154,negated_conjecture,
k1_tarski(k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) != k3_xboole_0(u1_struct_0(esk2_0),k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))),
inference(rw,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_155,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152]),c_0_137]),c_0_153]),c_0_154]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : TOP032+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun May 29 07:10:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.42 eprover: CPU time limit exceeded, terminating
% 0.44/39.03 eprover: CPU time limit exceeded, terminating
% 0.47/46.42 eprover: CPU time limit exceeded, terminating
% 0.47/46.43 eprover: CPU time limit exceeded, terminating
% 0.47/46.43 eprover: CPU time limit exceeded, terminating
% 0.49/50.67 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.49/50.67
% 0.49/50.67 # Failure: Resource limit exceeded (time)
% 0.49/50.67 # OLD status Res
% 0.49/50.67 # Preprocessing time : 0.029 s
% 0.49/50.67 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.49/50.67
% 0.49/50.67 # Failure: Resource limit exceeded (time)
% 0.49/50.67 # OLD status Res
% 0.49/50.67 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.49/50.67 # Preprocessing time : 0.021 s
% 0.49/50.67 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 0.49/50.67 # Preprocessing time : 0.015 s
% 0.49/50.67
% 0.49/50.67 # Proof found!
% 0.49/50.67 # SZS status Theorem
% 0.49/50.67 # SZS output start CNFRefutation
% See solution above
% 0.49/50.67 # Proof object total steps : 156
% 0.49/50.67 # Proof object clause steps : 101
% 0.49/50.67 # Proof object formula steps : 55
% 0.49/50.67 # Proof object conjectures : 71
% 0.49/50.67 # Proof object clause conjectures : 68
% 0.49/50.67 # Proof object formula conjectures : 3
% 0.49/50.67 # Proof object initial clauses used : 39
% 0.49/50.67 # Proof object initial formulas used : 27
% 0.49/50.67 # Proof object generating inferences : 53
% 0.49/50.67 # Proof object simplifying inferences : 113
% 0.49/50.67 # Training examples: 0 positive, 0 negative
% 0.49/50.67 # Parsed axioms : 133
% 0.49/50.67 # Removed by relevancy pruning/SinE : 0
% 0.49/50.67 # Initial clauses : 321
% 0.49/50.67 # Removed in clause preprocessing : 50
% 0.49/50.67 # Initial clauses in saturation : 271
% 0.49/50.67 # Processed clauses : 22729
% 0.49/50.67 # ...of these trivial : 916
% 0.49/50.67 # ...subsumed : 856
% 0.49/50.67 # ...remaining for further processing : 20957
% 0.49/50.67 # Other redundant clauses eliminated : 0
% 0.49/50.67 # Clauses deleted for lack of memory : 0
% 0.49/50.67 # Backward-subsumed : 32
% 0.49/50.67 # Backward-rewritten : 993
% 0.49/50.67 # Generated clauses : 75433
% 0.49/50.67 # ...of the previous two non-trivial : 72180
% 0.49/50.67 # Contextual simplify-reflections : 136
% 0.49/50.67 # Paramodulations : 75360
% 0.49/50.67 # Factorizations : 0
% 0.49/50.67 # Equation resolutions : 9
% 0.49/50.67 # Current number of processed clauses : 19868
% 0.49/50.67 # Positive orientable unit clauses : 11157
% 0.49/50.67 # Positive unorientable unit clauses: 1
% 0.49/50.67 # Negative unit clauses : 177
% 0.49/50.67 # Non-unit-clauses : 8533
% 0.49/50.67 # Current number of unprocessed clauses: 39340
% 0.49/50.67 # ...number of literals in the above : 88551
% 0.49/50.67 # Current number of archived formulas : 0
% 0.49/50.67 # Current number of archived clauses : 1089
% 0.49/50.67 # Clause-clause subsumption calls (NU) : 3130058
% 0.49/50.67 # Rec. Clause-clause subsumption calls : 2433358
% 0.49/50.67 # Non-unit clause-clause subsumptions : 679
% 0.49/50.67 # Unit Clause-clause subsumption calls : 510272
% 0.49/50.67 # Rewrite failures with RHS unbound : 0
% 0.49/50.67 # BW rewrite match attempts : 897588
% 0.49/50.67 # BW rewrite match successes : 71
% 0.49/50.67 # Condensation attempts : 0
% 0.49/50.67 # Condensation successes : 0
% 0.49/50.67 # Termbank termtop insertions : 2371535
% 0.49/50.67
% 0.49/50.67 # -------------------------------------------------
% 0.49/50.67 # User time : 3.202 s
% 0.49/50.67 # System time : 0.052 s
% 0.49/50.67 # Total time : 3.254 s
% 0.49/50.67 # Maximum resident set size: 92700 pages
% 0.49/62.05 eprover: CPU time limit exceeded, terminating
% 0.49/62.07 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.49/62.07 eprover: No such file or directory
% 0.49/62.08 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.49/62.08 eprover: No such file or directory
% 0.49/62.08 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.49/62.08 eprover: No such file or directory
% 0.49/62.09 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.49/62.09 eprover: No such file or directory
% 0.49/62.09 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.49/62.09 eprover: No such file or directory
% 0.49/62.10 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.49/62.10 eprover: No such file or directory
% 0.49/62.11 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.49/62.11 eprover: No such file or directory
% 0.49/62.11 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.49/62.11 eprover: No such file or directory
% 0.49/62.12 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.49/62.12 eprover: No such file or directory
% 0.49/69.44 eprover: CPU time limit exceeded, terminating
% 0.49/69.44 eprover: CPU time limit exceeded, terminating
% 0.49/69.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.45 eprover: No such file or directory
% 0.49/69.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.46 eprover: No such file or directory
% 0.49/69.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.46 eprover: No such file or directory
% 0.49/69.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.46 eprover: No such file or directory
% 0.49/69.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.47 eprover: No such file or directory
% 0.49/69.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.47 eprover: No such file or directory
% 0.49/69.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.47 eprover: No such file or directory
% 0.49/69.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.47 eprover: No such file or directory
% 0.49/69.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.48 eprover: No such file or directory
% 0.49/69.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.48 eprover: No such file or directory
% 0.49/69.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.48 eprover: No such file or directory
% 0.49/69.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.48 eprover: No such file or directory
% 0.49/69.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.49 eprover: No such file or directory
% 0.49/69.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.49 eprover: No such file or directory
% 0.49/69.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.49 eprover: No such file or directory
% 0.49/69.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.50 eprover: No such file or directory
% 0.49/69.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.50 eprover: No such file or directory
% 0.49/69.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.51 eprover: No such file or directory
%------------------------------------------------------------------------------