TSTP Solution File: ALG225+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ALG225+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n019.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 14 16:50:33 EDT 2022
% Result : Theorem 0.32s 15.50s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 25
% Syntax : Number of formulae : 144 ( 41 unt; 0 def)
% Number of atoms : 453 ( 101 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 516 ( 207 ~; 236 |; 42 &)
% ( 8 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 3 con; 0-3 aty)
% Number of variables : 251 ( 24 sgn 106 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t6_boole) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',rc2_subset_1) ).
fof(d3_pboole,axiom,
! [X1,X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> ( m1_pboole(X2,X1)
<=> k1_relat_1(X2) = X1 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d3_pboole) ).
fof(cc1_pboole,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_pboole(X2,X1)
=> ( v2_relat_1(X2)
=> ~ v3_relat_1(X2) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',cc1_pboole) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t5_subset) ).
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(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(d16_pboole,axiom,
! [X1,X2] :
( m1_pboole(X2,X1)
=> ( v2_relat_1(X2)
<=> ! [X3] :
~ ( r2_hidden(X3,X1)
& v1_xboole_0(k1_funct_1(X2,X3)) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d16_pboole) ).
fof(dt_k1_pboole,axiom,
! [X1] : m1_pboole(k1_pboole(X1),X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k1_pboole) ).
fof(d6_pboole,axiom,
! [X1] : k1_pboole(X1) = k2_funcop_1(X1,k1_xboole_0),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d6_pboole) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( r1_tarski(X1,X2)
& r1_tarski(X2,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d10_xboole_0) ).
fof(fc1_mssubfam,axiom,
! [X1] :
( v1_relat_1(k1_pboole(X1))
& v3_relat_1(k1_pboole(X1))
& v1_funct_1(k1_pboole(X1))
& v1_pre_circ(k1_pboole(X1),X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fc1_mssubfam) ).
fof(fc1_xboole_0,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fc1_xboole_0) ).
fof(fraenkel_a_2_1_closure3,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& v2_relat_1(X3)
& m1_pboole(X3,X2) )
=> ( r2_hidden(X1,a_2_1_closure3(X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,X2)
& X1 = X4
& k1_funct_1(X3,X4) != k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fraenkel_a_2_1_closure3) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t2_tarski) ).
fof(t6_closure3,conjecture,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v2_relat_1(X2)
& m1_pboole(X2,X1) )
=> X2 = k1_funct_4(k1_pboole(X1),k7_relat_1(X2,k1_closure3(X1,X2))) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t6_closure3) ).
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(dt_m1_pboole,axiom,
! [X1,X2] :
( m1_pboole(X2,X1)
=> ( v1_relat_1(X2)
& v1_funct_1(X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_m1_pboole) ).
fof(fraenkel_a_2_0_closure3,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_pboole(X3,X2) )
=> ( r2_hidden(X1,a_2_0_closure3(X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,X2)
& X1 = X4
& k1_funct_1(X3,X4) != k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fraenkel_a_2_0_closure3) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t1_subset) ).
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(t97_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(k1_relat_1(X2),X1)
=> k7_relat_1(X2,X1) = X2 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t97_relat_1) ).
fof(t1_closure3,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_pboole(X2,X1)
=> ! [X3] :
( m1_pboole(X3,X1)
=> k1_funct_4(X2,X3) = X3 ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t1_closure3) ).
fof(d3_closure3,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_pboole(X2,X1)
=> ! [X3] :
( X3 = k1_closure3(X1,X2)
<=> X3 = a_2_0_closure3(X1,X2) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d3_closure3) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',reflexivity_r1_tarski) ).
fof(c_0_25,plain,
! [X2] :
( ~ v1_xboole_0(X2)
| X2 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(c_0_26,plain,
! [X3] :
( m1_subset_1(esk17_1(X3),k1_zfmisc_1(X3))
& v1_xboole_0(esk17_1(X3)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(c_0_27,plain,
! [X3,X4] :
( ( ~ m1_pboole(X4,X3)
| k1_relat_1(X4) = X3
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X4) )
& ( k1_relat_1(X4) != X3
| m1_pboole(X4,X3)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_pboole])])]) ).
cnf(c_0_28,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,plain,
v1_xboole_0(esk17_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_30,plain,
! [X3,X4] :
( v1_xboole_0(X3)
| ~ m1_pboole(X4,X3)
| ~ v2_relat_1(X4)
| ~ v3_relat_1(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)],[inference(fof_simplification,[status(thm)],[cc1_pboole])])])])])]) ).
cnf(c_0_31,plain,
( m1_pboole(X1,X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X1) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_32,plain,
! [X4,X5,X6] :
( ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| ~ v1_xboole_0(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(c_0_33,plain,
! [X3] : m1_subset_1(esk6_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(c_0_34,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_35,plain,
m1_subset_1(esk17_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,plain,
esk17_1(X1) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_37,plain,
( v1_xboole_0(X2)
| ~ v3_relat_1(X1)
| ~ v2_relat_1(X1)
| ~ m1_pboole(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,plain,
( m1_pboole(X1,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(er,[status(thm)],[c_0_31]) ).
cnf(c_0_39,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,plain,
m1_subset_1(esk6_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_41,plain,
! [X4,X5,X6] :
( ( ~ v2_relat_1(X5)
| ~ r2_hidden(X6,X4)
| ~ v1_xboole_0(k1_funct_1(X5,X6))
| ~ m1_pboole(X5,X4) )
& ( r2_hidden(esk3_2(X4,X5),X4)
| v2_relat_1(X5)
| ~ m1_pboole(X5,X4) )
& ( v1_xboole_0(k1_funct_1(X5,esk3_2(X4,X5)))
| v2_relat_1(X5)
| ~ m1_pboole(X5,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)],[d16_pboole])])])])])])]) ).
fof(c_0_42,plain,
! [X2] : m1_pboole(k1_pboole(X2),X2),
inference(variable_rename,[status(thm)],[dt_k1_pboole]) ).
fof(c_0_43,plain,
! [X2] : k1_pboole(X2) = k2_funcop_1(X2,k1_xboole_0),
inference(variable_rename,[status(thm)],[d6_pboole]) ).
fof(c_0_44,plain,
! [X3,X4,X3,X4] :
( ( r1_tarski(X3,X4)
| X3 != X4 )
& ( r1_tarski(X4,X3)
| X3 != X4 )
& ( ~ r1_tarski(X3,X4)
| ~ r1_tarski(X4,X3)
| X3 = X4 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])])])]) ).
cnf(c_0_45,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_46,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
inference(rw,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_47,plain,
( v1_xboole_0(k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v3_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v2_relat_1(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_48,plain,
! [X2,X2,X2,X2] :
( v1_relat_1(k1_pboole(X2))
& v3_relat_1(k1_pboole(X2))
& v1_funct_1(k1_pboole(X2))
& v1_pre_circ(k1_pboole(X2),X2) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[fc1_mssubfam])])]) ).
cnf(c_0_49,plain,
( ~ r2_hidden(X1,esk6_1(k1_zfmisc_1(X2)))
| ~ v1_xboole_0(X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_50,plain,
( v2_relat_1(X1)
| r2_hidden(esk3_2(X2,X1),X2)
| ~ m1_pboole(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_51,plain,
m1_pboole(k1_pboole(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,plain,
k1_pboole(X1) = k2_funcop_1(X1,k1_xboole_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_53,plain,
( X1 = X2
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_54,plain,
r1_tarski(k1_xboole_0,X1),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_55,plain,
( k1_relat_1(X1) = k1_xboole_0
| ~ v1_relat_1(X1)
| ~ v3_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v2_relat_1(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_47]) ).
cnf(c_0_56,plain,
v3_relat_1(k1_pboole(X1)),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_57,plain,
v1_relat_1(k1_pboole(X1)),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_58,plain,
v1_funct_1(k1_pboole(X1)),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_59,plain,
( v2_relat_1(X1)
| ~ m1_pboole(X1,esk6_1(k1_zfmisc_1(X2)))
| ~ v1_xboole_0(X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_60,plain,
m1_pboole(k2_funcop_1(X1,k1_xboole_0),X1),
inference(rw,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_61,plain,
( X1 = k1_xboole_0
| ~ r1_tarski(X1,k1_xboole_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_62,plain,
r1_tarski(esk6_1(k1_zfmisc_1(X1)),X1),
inference(spm,[status(thm)],[c_0_45,c_0_40]) ).
cnf(c_0_63,plain,
( m1_pboole(X1,X2)
| k1_xboole_0 != X2
| ~ v1_relat_1(X1)
| ~ v3_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v2_relat_1(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_55]) ).
cnf(c_0_64,plain,
v3_relat_1(k2_funcop_1(X1,k1_xboole_0)),
inference(rw,[status(thm)],[c_0_56,c_0_52]) ).
cnf(c_0_65,plain,
v1_relat_1(k2_funcop_1(X1,k1_xboole_0)),
inference(rw,[status(thm)],[c_0_57,c_0_52]) ).
cnf(c_0_66,plain,
v1_funct_1(k2_funcop_1(X1,k1_xboole_0)),
inference(rw,[status(thm)],[c_0_58,c_0_52]) ).
cnf(c_0_67,plain,
( v2_relat_1(k2_funcop_1(esk6_1(k1_zfmisc_1(X1)),k1_xboole_0))
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_68,plain,
esk6_1(k1_zfmisc_1(k1_xboole_0)) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_69,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]) ).
fof(c_0_70,plain,
! [X5,X6,X7,X9] :
( ( m1_subset_1(esk8_3(X5,X6,X7),X6)
| ~ r2_hidden(X5,a_2_1_closure3(X6,X7))
| v1_xboole_0(X6)
| ~ v2_relat_1(X7)
| ~ m1_pboole(X7,X6) )
& ( X5 = esk8_3(X5,X6,X7)
| ~ r2_hidden(X5,a_2_1_closure3(X6,X7))
| v1_xboole_0(X6)
| ~ v2_relat_1(X7)
| ~ m1_pboole(X7,X6) )
& ( k1_funct_1(X7,esk8_3(X5,X6,X7)) != k1_xboole_0
| ~ r2_hidden(X5,a_2_1_closure3(X6,X7))
| v1_xboole_0(X6)
| ~ v2_relat_1(X7)
| ~ m1_pboole(X7,X6) )
& ( ~ m1_subset_1(X9,X6)
| X5 != X9
| k1_funct_1(X7,X9) = k1_xboole_0
| r2_hidden(X5,a_2_1_closure3(X6,X7))
| v1_xboole_0(X6)
| ~ v2_relat_1(X7)
| ~ m1_pboole(X7,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)],[fraenkel_a_2_1_closure3])])])])])])])]) ).
fof(c_0_71,plain,
! [X4,X5] :
( ( ~ r2_hidden(esk25_2(X4,X5),X4)
| ~ r2_hidden(esk25_2(X4,X5),X5)
| X4 = X5 )
& ( r2_hidden(esk25_2(X4,X5),X4)
| r2_hidden(esk25_2(X4,X5),X5)
| X4 = X5 ) ),
inference(distribute,[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)],[t2_tarski])])])])])]) ).
fof(c_0_72,negated_conjecture,
~ ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v2_relat_1(X2)
& m1_pboole(X2,X1) )
=> X2 = k1_funct_4(k1_pboole(X1),k7_relat_1(X2,k1_closure3(X1,X2))) ) ),
inference(assume_negation,[status(cth)],[t6_closure3]) ).
cnf(c_0_73,plain,
( m1_pboole(k2_funcop_1(X1,k1_xboole_0),X2)
| k1_xboole_0 != X2
| ~ v2_relat_1(k2_funcop_1(X1,k1_xboole_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),c_0_66])]) ).
cnf(c_0_74,plain,
v2_relat_1(k2_funcop_1(k1_xboole_0,k1_xboole_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69])]) ).
fof(c_0_75,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_76,plain,
( v1_xboole_0(X2)
| X3 = esk8_3(X3,X2,X1)
| ~ m1_pboole(X1,X2)
| ~ v2_relat_1(X1)
| ~ r2_hidden(X3,a_2_1_closure3(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_77,plain,
( X1 = X2
| r2_hidden(esk25_2(X1,X2),X2)
| r2_hidden(esk25_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
fof(c_0_78,negated_conjecture,
( ~ v1_xboole_0(esk1_0)
& v2_relat_1(esk2_0)
& m1_pboole(esk2_0,esk1_0)
& esk2_0 != k1_funct_4(k1_pboole(esk1_0),k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_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_72])])])])])]) ).
fof(c_0_79,plain,
! [X3,X4] :
( ( v1_relat_1(X4)
| ~ m1_pboole(X4,X3) )
& ( v1_funct_1(X4)
| ~ m1_pboole(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_pboole])])]) ).
cnf(c_0_80,plain,
( v1_xboole_0(X2)
| r2_hidden(X3,a_2_1_closure3(X2,X1))
| k1_funct_1(X1,X4) = k1_xboole_0
| ~ m1_pboole(X1,X2)
| ~ v2_relat_1(X1)
| X3 != X4
| ~ m1_subset_1(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_81,plain,
( m1_pboole(k2_funcop_1(k1_xboole_0,k1_xboole_0),X1)
| k1_xboole_0 != X1 ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_82,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_83,plain,
( v1_xboole_0(X2)
| m1_subset_1(esk8_3(X3,X2,X1),X2)
| ~ m1_pboole(X1,X2)
| ~ v2_relat_1(X1)
| ~ r2_hidden(X3,a_2_1_closure3(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_84,plain,
( esk8_3(esk25_2(X1,a_2_1_closure3(X2,X3)),X2,X3) = esk25_2(X1,a_2_1_closure3(X2,X3))
| X1 = a_2_1_closure3(X2,X3)
| r2_hidden(esk25_2(X1,a_2_1_closure3(X2,X3)),X1)
| v1_xboole_0(X2)
| ~ m1_pboole(X3,X2)
| ~ v2_relat_1(X3) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_85,negated_conjecture,
m1_pboole(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_86,negated_conjecture,
v2_relat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_87,negated_conjecture,
~ v1_xboole_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
fof(c_0_88,plain,
! [X5,X6,X7,X9] :
( ( m1_subset_1(esk7_3(X5,X6,X7),X6)
| ~ r2_hidden(X5,a_2_0_closure3(X6,X7))
| v1_xboole_0(X6)
| ~ m1_pboole(X7,X6) )
& ( X5 = esk7_3(X5,X6,X7)
| ~ r2_hidden(X5,a_2_0_closure3(X6,X7))
| v1_xboole_0(X6)
| ~ m1_pboole(X7,X6) )
& ( k1_funct_1(X7,esk7_3(X5,X6,X7)) != k1_xboole_0
| ~ r2_hidden(X5,a_2_0_closure3(X6,X7))
| v1_xboole_0(X6)
| ~ m1_pboole(X7,X6) )
& ( ~ m1_subset_1(X9,X6)
| X5 != X9
| k1_funct_1(X7,X9) = k1_xboole_0
| r2_hidden(X5,a_2_0_closure3(X6,X7))
| v1_xboole_0(X6)
| ~ m1_pboole(X7,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)],[fraenkel_a_2_0_closure3])])])])])])])]) ).
cnf(c_0_89,plain,
( k1_relat_1(X1) = X2
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ m1_pboole(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_90,plain,
( v1_relat_1(X1)
| ~ m1_pboole(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_91,plain,
( v1_funct_1(X1)
| ~ m1_pboole(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_92,plain,
( X1 = X2
| ~ r2_hidden(esk25_2(X1,X2),X2)
| ~ r2_hidden(esk25_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_93,plain,
( k1_funct_1(X1,X2) = k1_xboole_0
| r2_hidden(X2,a_2_1_closure3(X3,X1))
| v1_xboole_0(X3)
| ~ m1_subset_1(X2,X3)
| ~ m1_pboole(X1,X3)
| ~ v2_relat_1(X1) ),
inference(er,[status(thm)],[c_0_80]) ).
fof(c_0_94,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| m1_subset_1(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(c_0_95,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_96,plain,
( ~ m1_pboole(X1,X2)
| ~ v1_xboole_0(k1_funct_1(X1,X3))
| ~ r2_hidden(X3,X2)
| ~ v2_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_97,plain,
( v1_xboole_0(X1)
| k1_xboole_0 != X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_81]),c_0_64]),c_0_74])]) ).
cnf(c_0_98,plain,
( r2_hidden(esk8_3(X1,X2,X3),X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,a_2_1_closure3(X2,X3))
| ~ m1_pboole(X3,X2)
| ~ v2_relat_1(X3) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_99,negated_conjecture,
( esk8_3(esk25_2(X1,a_2_1_closure3(esk1_0,esk2_0)),esk1_0,esk2_0) = esk25_2(X1,a_2_1_closure3(esk1_0,esk2_0))
| X1 = a_2_1_closure3(esk1_0,esk2_0)
| r2_hidden(esk25_2(X1,a_2_1_closure3(esk1_0,esk2_0)),X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86])]),c_0_87]) ).
cnf(c_0_100,plain,
( v1_xboole_0(X2)
| X3 = esk7_3(X3,X2,X1)
| ~ m1_pboole(X1,X2)
| ~ r2_hidden(X3,a_2_0_closure3(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
fof(c_0_101,plain,
! [X3,X4] :
( ~ v1_relat_1(X4)
| ~ r1_tarski(k1_relat_1(X4),X3)
| k7_relat_1(X4,X3) = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t97_relat_1])]) ).
cnf(c_0_102,plain,
( k1_relat_1(X1) = X2
| ~ m1_pboole(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_89,c_0_90]),c_0_91]) ).
cnf(c_0_103,plain,
( k1_funct_1(X1,esk25_2(X2,a_2_1_closure3(X3,X1))) = k1_xboole_0
| X2 = a_2_1_closure3(X3,X1)
| v1_xboole_0(X3)
| ~ m1_subset_1(esk25_2(X2,a_2_1_closure3(X3,X1)),X3)
| ~ r2_hidden(esk25_2(X2,a_2_1_closure3(X3,X1)),X2)
| ~ m1_pboole(X1,X3)
| ~ v2_relat_1(X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_104,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_105,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_106,plain,
( k1_funct_1(X1,X2) != k1_xboole_0
| ~ r2_hidden(X2,X3)
| ~ m1_pboole(X1,X3)
| ~ v2_relat_1(X1) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_107,negated_conjecture,
( X1 = a_2_1_closure3(esk1_0,esk2_0)
| r2_hidden(esk25_2(X1,a_2_1_closure3(esk1_0,esk2_0)),esk1_0)
| r2_hidden(esk25_2(X1,a_2_1_closure3(esk1_0,esk2_0)),X1) ),
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_98,c_0_99]),c_0_85]),c_0_86])]),c_0_87]),c_0_77]) ).
cnf(c_0_108,plain,
( v1_xboole_0(X2)
| r2_hidden(X3,a_2_0_closure3(X2,X1))
| k1_funct_1(X1,X4) = k1_xboole_0
| ~ m1_pboole(X1,X2)
| X3 != X4
| ~ m1_subset_1(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_109,plain,
( v1_xboole_0(X2)
| m1_subset_1(esk7_3(X3,X2,X1),X2)
| ~ m1_pboole(X1,X2)
| ~ r2_hidden(X3,a_2_0_closure3(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_110,plain,
( esk7_3(esk25_2(X1,a_2_0_closure3(X2,X3)),X2,X3) = esk25_2(X1,a_2_0_closure3(X2,X3))
| X1 = a_2_0_closure3(X2,X3)
| r2_hidden(esk25_2(X1,a_2_0_closure3(X2,X3)),X1)
| v1_xboole_0(X2)
| ~ m1_pboole(X3,X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_77]) ).
cnf(c_0_111,negated_conjecture,
esk2_0 != k1_funct_4(k1_pboole(esk1_0),k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_112,plain,
( k7_relat_1(X1,X2) = X1
| ~ r1_tarski(k1_relat_1(X1),X2)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_113,negated_conjecture,
k1_relat_1(esk2_0) = esk1_0,
inference(spm,[status(thm)],[c_0_102,c_0_85]) ).
cnf(c_0_114,negated_conjecture,
v1_relat_1(esk2_0),
inference(spm,[status(thm)],[c_0_90,c_0_85]) ).
fof(c_0_115,plain,
! [X4,X5,X6] :
( v1_xboole_0(X4)
| ~ m1_pboole(X5,X4)
| ~ m1_pboole(X6,X4)
| k1_funct_4(X5,X6) = X6 ),
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)],[t1_closure3])])])])])]) ).
cnf(c_0_116,plain,
( X1 = a_2_1_closure3(X2,X3)
| ~ r2_hidden(esk25_2(X1,a_2_1_closure3(X2,X3)),X1)
| ~ r2_hidden(esk25_2(X1,a_2_1_closure3(X2,X3)),X2)
| ~ m1_pboole(X3,X2)
| ~ v2_relat_1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]),c_0_106]) ).
cnf(c_0_117,negated_conjecture,
( a_2_1_closure3(esk1_0,esk2_0) = esk1_0
| r2_hidden(esk25_2(esk1_0,a_2_1_closure3(esk1_0,esk2_0)),esk1_0) ),
inference(ef,[status(thm)],[c_0_107]) ).
cnf(c_0_118,plain,
( k1_funct_1(X1,X2) = k1_xboole_0
| r2_hidden(X2,a_2_0_closure3(X3,X1))
| v1_xboole_0(X3)
| ~ m1_subset_1(X2,X3)
| ~ m1_pboole(X1,X3) ),
inference(er,[status(thm)],[c_0_108]) ).
cnf(c_0_119,plain,
( r2_hidden(esk7_3(X1,X2,X3),X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,a_2_0_closure3(X2,X3))
| ~ m1_pboole(X3,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_109]) ).
cnf(c_0_120,negated_conjecture,
( esk7_3(esk25_2(X1,a_2_0_closure3(esk1_0,esk2_0)),esk1_0,esk2_0) = esk25_2(X1,a_2_0_closure3(esk1_0,esk2_0))
| X1 = a_2_0_closure3(esk1_0,esk2_0)
| r2_hidden(esk25_2(X1,a_2_0_closure3(esk1_0,esk2_0)),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_85]),c_0_87]) ).
cnf(c_0_121,negated_conjecture,
esk2_0 != k1_funct_4(k2_funcop_1(esk1_0,k1_xboole_0),k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0))),
inference(rw,[status(thm)],[c_0_111,c_0_52]) ).
cnf(c_0_122,negated_conjecture,
( k7_relat_1(esk2_0,X1) = esk2_0
| ~ r1_tarski(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114])]) ).
cnf(c_0_123,plain,
( k1_funct_4(X1,X2) = X2
| v1_xboole_0(X3)
| ~ m1_pboole(X2,X3)
| ~ m1_pboole(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
fof(c_0_124,plain,
! [X4,X5,X6,X6] :
( ( X6 != k1_closure3(X4,X5)
| X6 = a_2_0_closure3(X4,X5)
| ~ m1_pboole(X5,X4)
| v1_xboole_0(X4) )
& ( X6 != a_2_0_closure3(X4,X5)
| X6 = k1_closure3(X4,X5)
| ~ m1_pboole(X5,X4)
| v1_xboole_0(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)],[d3_closure3])])])])])])]) ).
cnf(c_0_125,negated_conjecture,
a_2_1_closure3(esk1_0,esk2_0) = esk1_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_85]),c_0_86])]),c_0_117]) ).
cnf(c_0_126,plain,
( k1_funct_1(X1,esk25_2(X2,a_2_0_closure3(X3,X1))) = k1_xboole_0
| X2 = a_2_0_closure3(X3,X1)
| v1_xboole_0(X3)
| ~ m1_subset_1(esk25_2(X2,a_2_0_closure3(X3,X1)),X3)
| ~ r2_hidden(esk25_2(X2,a_2_0_closure3(X3,X1)),X2)
| ~ m1_pboole(X1,X3) ),
inference(spm,[status(thm)],[c_0_92,c_0_118]) ).
cnf(c_0_127,negated_conjecture,
( X1 = a_2_0_closure3(esk1_0,esk2_0)
| r2_hidden(esk25_2(X1,a_2_0_closure3(esk1_0,esk2_0)),esk1_0)
| r2_hidden(esk25_2(X1,a_2_0_closure3(esk1_0,esk2_0)),X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_85])]),c_0_87]),c_0_77]) ).
cnf(c_0_128,negated_conjecture,
( k1_funct_4(k2_funcop_1(esk1_0,k1_xboole_0),esk2_0) != esk2_0
| ~ r1_tarski(esk1_0,k1_closure3(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_129,negated_conjecture,
( k1_funct_4(X1,esk2_0) = esk2_0
| ~ m1_pboole(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_85]),c_0_87]) ).
cnf(c_0_130,plain,
( v1_xboole_0(X1)
| X3 = a_2_0_closure3(X1,X2)
| ~ m1_pboole(X2,X1)
| X3 != k1_closure3(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_131,plain,
( v1_xboole_0(X2)
| ~ m1_pboole(X1,X2)
| ~ v2_relat_1(X1)
| ~ r2_hidden(X3,a_2_1_closure3(X2,X1))
| k1_funct_1(X1,esk8_3(X3,X2,X1)) != k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_132,negated_conjecture,
( esk8_3(X1,esk1_0,esk2_0) = X1
| ~ r2_hidden(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_125]),c_0_85]),c_0_86])]),c_0_87]) ).
cnf(c_0_133,plain,
( k1_funct_1(X1,esk25_2(X2,a_2_0_closure3(X3,X1))) = k1_xboole_0
| X2 = a_2_0_closure3(X3,X1)
| ~ r2_hidden(esk25_2(X2,a_2_0_closure3(X3,X1)),X2)
| ~ r2_hidden(esk25_2(X2,a_2_0_closure3(X3,X1)),X3)
| ~ m1_pboole(X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_104]),c_0_105]) ).
cnf(c_0_134,negated_conjecture,
( a_2_0_closure3(esk1_0,esk2_0) = esk1_0
| r2_hidden(esk25_2(esk1_0,a_2_0_closure3(esk1_0,esk2_0)),esk1_0) ),
inference(ef,[status(thm)],[c_0_127]) ).
cnf(c_0_135,negated_conjecture,
~ r1_tarski(esk1_0,k1_closure3(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_60])]) ).
cnf(c_0_136,plain,
( k1_closure3(X1,X2) = a_2_0_closure3(X1,X2)
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(er,[status(thm)],[c_0_130]) ).
cnf(c_0_137,negated_conjecture,
( k1_funct_1(esk2_0,X1) != k1_xboole_0
| ~ r2_hidden(X1,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_131,c_0_132]),c_0_125]),c_0_85]),c_0_86])]),c_0_87]) ).
cnf(c_0_138,negated_conjecture,
( k1_funct_1(esk2_0,esk25_2(esk1_0,a_2_0_closure3(esk1_0,esk2_0))) = k1_xboole_0
| a_2_0_closure3(esk1_0,esk2_0) = esk1_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_85])]),c_0_134]) ).
fof(c_0_139,plain,
! [X3] : r1_tarski(X3,X3),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(c_0_140,negated_conjecture,
~ r1_tarski(esk1_0,a_2_0_closure3(esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_85])]),c_0_87]) ).
cnf(c_0_141,negated_conjecture,
a_2_0_closure3(esk1_0,esk2_0) = esk1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_134]) ).
cnf(c_0_142,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_143,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_141]),c_0_142])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG225+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 8 06:38:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.32/15.50 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.32/15.50 # Preprocessing time : 0.020 s
% 0.32/15.50
% 0.32/15.50 # Proof found!
% 0.32/15.50 # SZS status Theorem
% 0.32/15.50 # SZS output start CNFRefutation
% See solution above
% 0.32/15.50 # Proof object total steps : 144
% 0.32/15.50 # Proof object clause steps : 94
% 0.32/15.50 # Proof object formula steps : 50
% 0.32/15.50 # Proof object conjectures : 27
% 0.32/15.50 # Proof object clause conjectures : 24
% 0.32/15.50 # Proof object formula conjectures : 3
% 0.32/15.50 # Proof object initial clauses used : 40
% 0.32/15.50 # Proof object initial formulas used : 25
% 0.32/15.50 # Proof object generating inferences : 44
% 0.32/15.50 # Proof object simplifying inferences : 62
% 0.32/15.50 # Training examples: 0 positive, 0 negative
% 0.32/15.50 # Parsed axioms : 66
% 0.32/15.50 # Removed by relevancy pruning/SinE : 0
% 0.32/15.50 # Initial clauses : 124
% 0.32/15.50 # Removed in clause preprocessing : 10
% 0.32/15.50 # Initial clauses in saturation : 114
% 0.32/15.50 # Processed clauses : 24770
% 0.32/15.50 # ...of these trivial : 76
% 0.32/15.50 # ...subsumed : 19272
% 0.32/15.50 # ...remaining for further processing : 5422
% 0.32/15.50 # Other redundant clauses eliminated : 10
% 0.32/15.50 # Clauses deleted for lack of memory : 445082
% 0.32/15.50 # Backward-subsumed : 546
% 0.32/15.50 # Backward-rewritten : 729
% 0.32/15.50 # Generated clauses : 656480
% 0.32/15.50 # ...of the previous two non-trivial : 619675
% 0.32/15.50 # Contextual simplify-reflections : 15914
% 0.32/15.50 # Paramodulations : 656198
% 0.32/15.50 # Factorizations : 151
% 0.32/15.50 # Equation resolutions : 119
% 0.32/15.50 # Current number of processed clauses : 4131
% 0.32/15.50 # Positive orientable unit clauses : 95
% 0.32/15.50 # Positive unorientable unit clauses: 0
% 0.32/15.50 # Negative unit clauses : 24
% 0.32/15.50 # Non-unit-clauses : 4012
% 0.32/15.50 # Current number of unprocessed clauses: 107191
% 0.32/15.50 # ...number of literals in the above : 659277
% 0.32/15.50 # Current number of archived formulas : 0
% 0.32/15.50 # Current number of archived clauses : 1288
% 0.32/15.50 # Clause-clause subsumption calls (NU) : 12903028
% 0.32/15.50 # Rec. Clause-clause subsumption calls : 3319549
% 0.32/15.50 # Non-unit clause-clause subsumptions : 31764
% 0.32/15.50 # Unit Clause-clause subsumption calls : 23203
% 0.32/15.50 # Rewrite failures with RHS unbound : 0
% 0.32/15.50 # BW rewrite match attempts : 26
% 0.32/15.50 # BW rewrite match successes : 17
% 0.32/15.50 # Condensation attempts : 0
% 0.32/15.50 # Condensation successes : 0
% 0.32/15.50 # Termbank termtop insertions : 22444058
% 0.32/15.50
% 0.32/15.50 # -------------------------------------------------
% 0.32/15.50 # User time : 14.928 s
% 0.32/15.50 # System time : 0.146 s
% 0.32/15.50 # Total time : 15.074 s
% 0.32/15.50 # Maximum resident set size: 143468 pages
% 0.32/23.42 eprover: CPU time limit exceeded, terminating
% 0.32/23.42 eprover: CPU time limit exceeded, terminating
% 0.32/23.42 eprover: CPU time limit exceeded, terminating
% 0.32/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.43 eprover: No such file or directory
% 0.32/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.43 eprover: No such file or directory
% 0.32/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.44 eprover: No such file or directory
% 0.32/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.44 eprover: No such file or directory
% 0.32/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.44 eprover: No such file or directory
% 0.32/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.44 eprover: No such file or directory
% 0.32/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.44 eprover: No such file or directory
% 0.32/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.45 eprover: No such file or directory
% 0.32/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.45 eprover: No such file or directory
% 0.32/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.45 eprover: No such file or directory
% 0.32/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.45 eprover: No such file or directory
% 0.32/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.45 eprover: No such file or directory
% 0.32/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.45 eprover: No such file or directory
% 0.32/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.46 eprover: No such file or directory
% 0.32/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.46 eprover: No such file or directory
% 0.32/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.46 eprover: No such file or directory
% 0.32/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.46 eprover: No such file or directory
% 0.32/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.46 eprover: No such file or directory
% 0.32/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.47 eprover: No such file or directory
% 0.32/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.47 eprover: No such file or directory
% 0.32/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.47 eprover: No such file or directory
% 0.32/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.47 eprover: No such file or directory
% 0.32/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.47 eprover: No such file or directory
% 0.32/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.47 eprover: No such file or directory
% 0.32/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.48 eprover: No such file or directory
% 0.32/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.48 eprover: No such file or directory
% 0.32/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.48 eprover: No such file or directory
% 0.32/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.48 eprover: No such file or directory
% 0.32/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.48 eprover: No such file or directory
% 0.32/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.48 eprover: No such file or directory
% 0.32/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.49 eprover: No such file or directory
% 0.32/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.49 eprover: No such file or directory
% 0.32/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------