TSTP Solution File: ALG226+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ALG226+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n025.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 16:50:34 EDT 2022
% Result : Theorem 0.49s 48.66s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 22
% Syntax : Number of formulae : 140 ( 36 unt; 0 def)
% Number of atoms : 456 ( 123 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 514 ( 198 ~; 227 |; 51 &)
% ( 8 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 4 con; 0-3 aty)
% Number of variables : 246 ( 22 sgn 105 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d3_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = k3_xboole_0(X1,X2)
<=> ! [X4] :
( r2_hidden(X4,X3)
<=> ( r2_hidden(X4,X1)
& r2_hidden(X4,X2) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d3_xboole_0) ).
fof(t2_boole,axiom,
! [X1] : k3_xboole_0(X1,k1_xboole_0) = k1_xboole_0,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_boole) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',commutativity_k3_xboole_0) ).
fof(t7_closure3,conjecture,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v2_relat_1(X2)
& m1_pboole(X2,X1) )
=> ! [X3] :
( ( v2_relat_1(X3)
& m1_pboole(X3,X1) )
=> ( ( k1_closure3(X1,X2) = k1_closure3(X1,X3)
& k7_relat_1(X2,k1_closure3(X1,X2)) = k7_relat_1(X3,k1_closure3(X1,X3)) )
=> r6_pboole(X1,X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t7_closure3) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t7_boole) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d3_closure3) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fraenkel_a_2_0_closure3) ).
fof(fc1_xboole_0,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc1_xboole_0) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d16_pboole) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d3_pboole) ).
fof(dt_m1_pboole,axiom,
! [X1,X2] :
( m1_pboole(X2,X1)
=> ( v1_relat_1(X2)
& v1_funct_1(X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m1_pboole) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t1_subset) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_tarski) ).
fof(rc2_pboole,axiom,
! [X1] :
? [X2] :
( m1_pboole(X2,X1)
& v1_relat_1(X2)
& v3_relat_1(X2)
& v1_funct_1(X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',rc2_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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc1_pboole) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_subset) ).
fof(t9_funct_1,axiom,
! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ! [X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> ( ( k1_relat_1(X1) = k1_relat_1(X2)
& ! [X3] :
( r2_hidden(X3,k1_relat_1(X1))
=> k1_funct_1(X1,X3) = k1_funct_1(X2,X3) ) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t9_funct_1) ).
fof(t70_funct_1,axiom,
! [X1,X2,X3] :
( ( v1_relat_1(X3)
& v1_funct_1(X3) )
=> ( r2_hidden(X2,k1_relat_1(k7_relat_1(X3,X1)))
=> k1_funct_1(k7_relat_1(X3,X1),X2) = k1_funct_1(X3,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t70_funct_1) ).
fof(fc4_funct_1,axiom,
! [X1,X2] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( v1_relat_1(k7_relat_1(X1,X2))
& v1_funct_1(k7_relat_1(X1,X2)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc4_funct_1) ).
fof(dt_k7_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X1)
=> v1_relat_1(k7_relat_1(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k7_relat_1) ).
fof(t90_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> k1_relat_1(k7_relat_1(X2,X1)) = k3_xboole_0(k1_relat_1(X2),X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t90_relat_1) ).
fof(redefinition_r6_pboole,axiom,
! [X1,X2,X3] :
( ( m1_pboole(X2,X1)
& m1_pboole(X3,X1) )
=> ( r6_pboole(X1,X2,X3)
<=> X2 = X3 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_r6_pboole) ).
fof(c_0_22,plain,
! [X5,X6,X7,X8,X8,X5,X6,X7] :
( ( r2_hidden(X8,X5)
| ~ r2_hidden(X8,X7)
| X7 != k3_xboole_0(X5,X6) )
& ( r2_hidden(X8,X6)
| ~ r2_hidden(X8,X7)
| X7 != k3_xboole_0(X5,X6) )
& ( ~ r2_hidden(X8,X5)
| ~ r2_hidden(X8,X6)
| r2_hidden(X8,X7)
| X7 != k3_xboole_0(X5,X6) )
& ( ~ r2_hidden(esk5_3(X5,X6,X7),X7)
| ~ r2_hidden(esk5_3(X5,X6,X7),X5)
| ~ r2_hidden(esk5_3(X5,X6,X7),X6)
| X7 = k3_xboole_0(X5,X6) )
& ( r2_hidden(esk5_3(X5,X6,X7),X5)
| r2_hidden(esk5_3(X5,X6,X7),X7)
| X7 = k3_xboole_0(X5,X6) )
& ( r2_hidden(esk5_3(X5,X6,X7),X6)
| r2_hidden(esk5_3(X5,X6,X7),X7)
| X7 = k3_xboole_0(X5,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)],[d3_xboole_0])])])])])])]) ).
fof(c_0_23,plain,
! [X2] : k3_xboole_0(X2,k1_xboole_0) = k1_xboole_0,
inference(variable_rename,[status(thm)],[t2_boole]) ).
fof(c_0_24,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_25,negated_conjecture,
~ ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v2_relat_1(X2)
& m1_pboole(X2,X1) )
=> ! [X3] :
( ( v2_relat_1(X3)
& m1_pboole(X3,X1) )
=> ( ( k1_closure3(X1,X2) = k1_closure3(X1,X3)
& k7_relat_1(X2,k1_closure3(X1,X2)) = k7_relat_1(X3,k1_closure3(X1,X3)) )
=> r6_pboole(X1,X2,X3) ) ) ) ),
inference(assume_negation,[status(cth)],[t7_closure3]) ).
fof(c_0_26,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_27,plain,
( r2_hidden(X4,X1)
| X1 != k3_xboole_0(X2,X3)
| ~ r2_hidden(X4,X3)
| ~ r2_hidden(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
( r2_hidden(X4,X3)
| X1 != k3_xboole_0(X2,X3)
| ~ r2_hidden(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
k3_xboole_0(X1,k1_xboole_0) = k1_xboole_0,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,plain,
k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_31,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])])])])])])]) ).
fof(c_0_32,negated_conjecture,
( ~ v1_xboole_0(esk1_0)
& v2_relat_1(esk2_0)
& m1_pboole(esk2_0,esk1_0)
& v2_relat_1(esk3_0)
& m1_pboole(esk3_0,esk1_0)
& k1_closure3(esk1_0,esk2_0) = k1_closure3(esk1_0,esk3_0)
& k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0)) = k7_relat_1(esk3_0,k1_closure3(esk1_0,esk3_0))
& ~ r6_pboole(esk1_0,esk2_0,esk3_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_25])])])])])]) ).
cnf(c_0_33,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_34,plain,
( r2_hidden(X1,k3_xboole_0(X2,X3))
| ~ r2_hidden(X1,X3)
| ~ r2_hidden(X1,X2) ),
inference(er,[status(thm)],[c_0_27]) ).
cnf(c_0_35,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,k3_xboole_0(X3,X2)) ),
inference(er,[status(thm)],[c_0_28]) ).
cnf(c_0_36,plain,
k3_xboole_0(k1_xboole_0,X1) = k1_xboole_0,
inference(pm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_37,plain,
! [X5,X6,X7,X9] :
( ( m1_subset_1(esk8_3(X5,X6,X7),X6)
| ~ r2_hidden(X5,a_2_0_closure3(X6,X7))
| v1_xboole_0(X6)
| ~ m1_pboole(X7,X6) )
& ( X5 = esk8_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,esk8_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_38,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_31]) ).
cnf(c_0_39,negated_conjecture,
k1_closure3(esk1_0,esk2_0) = k1_closure3(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,negated_conjecture,
m1_pboole(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,negated_conjecture,
~ v1_xboole_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,plain,
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ v1_xboole_0(k3_xboole_0(X3,X2)) ),
inference(pm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_43,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]) ).
cnf(c_0_44,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,k1_xboole_0) ),
inference(pm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_45,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(esk4_2(X4,X5),X4)
| v2_relat_1(X5)
| ~ m1_pboole(X5,X4) )
& ( v1_xboole_0(k1_funct_1(X5,esk4_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_46,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])])]) ).
fof(c_0_47,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_48,plain,
( v1_xboole_0(X2)
| m1_subset_1(esk8_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_37]) ).
cnf(c_0_49,plain,
( v1_xboole_0(X2)
| X3 = esk8_3(X3,X2,X1)
| ~ m1_pboole(X1,X2)
| ~ r2_hidden(X3,a_2_0_closure3(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_50,negated_conjecture,
( X1 = a_2_0_closure3(esk1_0,esk3_0)
| k1_closure3(esk1_0,esk2_0) != X1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]),c_0_41]) ).
fof(c_0_51,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_52,plain,
! [X4,X5] :
( ( ~ r2_hidden(esk22_2(X4,X5),X4)
| ~ r2_hidden(esk22_2(X4,X5),X5)
| X4 = X5 )
& ( r2_hidden(esk22_2(X4,X5),X4)
| r2_hidden(esk22_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])])])])])]) ).
cnf(c_0_53,plain,
~ r2_hidden(X1,k1_xboole_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_42,c_0_36]),c_0_43])]),c_0_44]) ).
cnf(c_0_54,plain,
( v2_relat_1(X1)
| r2_hidden(esk4_2(X2,X1),X2)
| ~ m1_pboole(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_55,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_46]) ).
cnf(c_0_56,plain,
( v1_relat_1(X1)
| ~ m1_pboole(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_57,plain,
( v1_funct_1(X1)
| ~ m1_pboole(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_58,plain,
! [X3] :
( m1_pboole(esk16_1(X3),X3)
& v1_relat_1(esk16_1(X3))
& v3_relat_1(esk16_1(X3))
& v1_funct_1(esk16_1(X3)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_pboole])]) ).
cnf(c_0_59,plain,
( m1_subset_1(X1,X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,a_2_0_closure3(X2,X3))
| ~ m1_pboole(X3,X2) ),
inference(pm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_60,negated_conjecture,
a_2_0_closure3(esk1_0,esk3_0) = k1_closure3(esk1_0,esk2_0),
inference(er,[status(thm)],[c_0_50]) ).
cnf(c_0_61,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_62,plain,
( X1 = X2
| r2_hidden(esk22_2(X1,X2),X2)
| r2_hidden(esk22_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_63,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_64,plain,
( v2_relat_1(X1)
| ~ m1_pboole(X1,k1_xboole_0) ),
inference(pm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_65,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_46]) ).
cnf(c_0_66,plain,
( k1_relat_1(X1) = X2
| ~ m1_pboole(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_67,plain,
m1_pboole(esk16_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_68,negated_conjecture,
( m1_subset_1(X1,esk1_0)
| ~ r2_hidden(X1,k1_closure3(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_59,c_0_60]),c_0_40])]),c_0_41]) ).
cnf(c_0_69,plain,
( X1 = X2
| m1_subset_1(esk22_2(X1,X2),X1)
| r2_hidden(esk22_2(X1,X2),X2) ),
inference(pm,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_70,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])]) ).
fof(c_0_71,plain,
! [X4,X5] :
( ( r2_hidden(esk23_2(X4,X5),k1_relat_1(X4))
| k1_relat_1(X4) != k1_relat_1(X5)
| X4 = X5
| ~ v1_relat_1(X5)
| ~ v1_funct_1(X5)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X4) )
& ( k1_funct_1(X4,esk23_2(X4,X5)) != k1_funct_1(X5,esk23_2(X4,X5))
| k1_relat_1(X4) != k1_relat_1(X5)
| X4 = X5
| ~ v1_relat_1(X5)
| ~ v1_funct_1(X5)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(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)],[t9_funct_1])])])])])])]) ).
fof(c_0_72,plain,
! [X4,X5,X6] :
( ~ v1_relat_1(X6)
| ~ v1_funct_1(X6)
| ~ r2_hidden(X5,k1_relat_1(k7_relat_1(X6,X4)))
| k1_funct_1(k7_relat_1(X6,X4),X5) = k1_funct_1(X6,X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t70_funct_1])]) ).
fof(c_0_73,plain,
! [X3,X4,X4] :
( ( v1_relat_1(k7_relat_1(X3,X4))
| ~ v1_relat_1(X3)
| ~ v1_funct_1(X3) )
& ( v1_funct_1(k7_relat_1(X3,X4))
| ~ v1_relat_1(X3)
| ~ v1_funct_1(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc4_funct_1])])])])]) ).
fof(c_0_74,plain,
! [X3,X4] :
( ~ v1_relat_1(X3)
| v1_relat_1(k7_relat_1(X3,X4)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_relat_1])])])]) ).
cnf(c_0_75,plain,
( v1_xboole_0(X2)
| ~ v3_relat_1(X1)
| ~ v2_relat_1(X1)
| ~ m1_pboole(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_76,plain,
v3_relat_1(esk16_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_77,plain,
( v2_relat_1(X1)
| k1_relat_1(X1) != k1_xboole_0
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(pm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_78,plain,
k1_relat_1(esk16_1(X1)) = X1,
inference(pm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_79,plain,
v1_relat_1(esk16_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_80,plain,
v1_funct_1(esk16_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_81,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_37]) ).
cnf(c_0_82,negated_conjecture,
( X1 = k1_closure3(esk1_0,esk2_0)
| m1_subset_1(esk22_2(X1,k1_closure3(esk1_0,esk2_0)),esk1_0)
| m1_subset_1(esk22_2(X1,k1_closure3(esk1_0,esk2_0)),X1) ),
inference(pm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_83,plain,
( r2_hidden(X4,X2)
| X1 != k3_xboole_0(X2,X3)
| ~ r2_hidden(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_84,plain,
( X1 = k3_xboole_0(X2,X3)
| ~ r2_hidden(esk5_3(X2,X3,X1),X3)
| ~ r2_hidden(esk5_3(X2,X3,X1),X2)
| ~ r2_hidden(esk5_3(X2,X3,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_85,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_86,plain,
( X1 = k3_xboole_0(X2,X3)
| r2_hidden(esk5_3(X2,X3,X1),X1)
| r2_hidden(esk5_3(X2,X3,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_87,plain,
( X1 = X2
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k1_relat_1(X1) != k1_relat_1(X2)
| k1_funct_1(X1,esk23_2(X1,X2)) != k1_funct_1(X2,esk23_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_88,plain,
( k1_funct_1(k7_relat_1(X1,X2),X3) = k1_funct_1(X1,X3)
| ~ r2_hidden(X3,k1_relat_1(k7_relat_1(X1,X2)))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_89,plain,
( X1 = X2
| r2_hidden(esk23_2(X1,X2),k1_relat_1(X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k1_relat_1(X1) != k1_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_90,plain,
( v1_funct_1(k7_relat_1(X1,X2))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_91,plain,
( v1_relat_1(k7_relat_1(X1,X2))
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
fof(c_0_92,plain,
! [X3,X4] :
( ~ v1_relat_1(X4)
| k1_relat_1(k7_relat_1(X4,X3)) = k3_xboole_0(k1_relat_1(X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t90_relat_1])]) ).
cnf(c_0_93,negated_conjecture,
k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0)) = k7_relat_1(esk3_0,k1_closure3(esk1_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_94,plain,
( v1_xboole_0(X1)
| ~ v2_relat_1(esk16_1(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_75,c_0_67]),c_0_76])]) ).
cnf(c_0_95,plain,
( v2_relat_1(esk16_1(X1))
| X1 != k1_xboole_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_80])]) ).
cnf(c_0_96,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_81]) ).
cnf(c_0_97,negated_conjecture,
( k1_closure3(esk1_0,esk2_0) = esk1_0
| m1_subset_1(esk22_2(esk1_0,k1_closure3(esk1_0,esk2_0)),esk1_0) ),
inference(ef,[status(thm)],[c_0_82]) ).
cnf(c_0_98,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,k3_xboole_0(X2,X3)) ),
inference(er,[status(thm)],[c_0_83]) ).
cnf(c_0_99,plain,
( X1 = k3_xboole_0(X2,X3)
| v1_xboole_0(X3)
| ~ m1_subset_1(esk5_3(X2,X3,X1),X3)
| ~ r2_hidden(esk5_3(X2,X3,X1),X2)
| ~ r2_hidden(esk5_3(X2,X3,X1),X1) ),
inference(pm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_100,plain,
( k3_xboole_0(X1,X2) = X1
| r2_hidden(esk5_3(X1,X2,X1),X1) ),
inference(ef,[status(thm)],[c_0_86]) ).
cnf(c_0_101,plain,
( k7_relat_1(X1,X2) = X3
| k1_funct_1(X1,esk23_2(k7_relat_1(X1,X2),X3)) != k1_funct_1(X3,esk23_2(k7_relat_1(X1,X2),X3))
| k1_relat_1(k7_relat_1(X1,X2)) != k1_relat_1(X3)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_87,c_0_88]),c_0_89]),c_0_90]),c_0_91]) ).
cnf(c_0_102,plain,
( k1_relat_1(k7_relat_1(X1,X2)) = k3_xboole_0(k1_relat_1(X1),X2)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_103,negated_conjecture,
k7_relat_1(esk3_0,k1_closure3(esk1_0,esk2_0)) = k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0)),
inference(rw,[status(thm)],[c_0_93,c_0_39]) ).
cnf(c_0_104,negated_conjecture,
k1_relat_1(esk3_0) = esk1_0,
inference(pm,[status(thm)],[c_0_66,c_0_40]) ).
cnf(c_0_105,negated_conjecture,
v1_relat_1(esk3_0),
inference(pm,[status(thm)],[c_0_56,c_0_40]) ).
cnf(c_0_106,negated_conjecture,
m1_pboole(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_107,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_45]) ).
cnf(c_0_108,plain,
( v1_xboole_0(X1)
| X1 != k1_xboole_0 ),
inference(pm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_109,negated_conjecture,
( k1_funct_1(X1,esk22_2(esk1_0,k1_closure3(esk1_0,esk2_0))) = k1_xboole_0
| k1_closure3(esk1_0,esk2_0) = esk1_0
| r2_hidden(esk22_2(esk1_0,k1_closure3(esk1_0,esk2_0)),a_2_0_closure3(esk1_0,X1))
| ~ m1_pboole(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_96,c_0_97]),c_0_41]) ).
cnf(c_0_110,plain,
( X1 = k3_xboole_0(X2,X3)
| r2_hidden(esk22_2(X1,k3_xboole_0(X2,X3)),X1)
| r2_hidden(esk22_2(X1,k3_xboole_0(X2,X3)),X2) ),
inference(pm,[status(thm)],[c_0_98,c_0_62]) ).
cnf(c_0_111,plain,
( k3_xboole_0(X1,X2) = X1
| v1_xboole_0(X2)
| ~ m1_subset_1(esk5_3(X1,X2,X1),X2) ),
inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_99,c_0_100]),c_0_100]) ).
cnf(c_0_112,negated_conjecture,
( k3_xboole_0(k1_closure3(esk1_0,esk2_0),X1) = k1_closure3(esk1_0,esk2_0)
| m1_subset_1(esk5_3(k1_closure3(esk1_0,esk2_0),X1,k1_closure3(esk1_0,esk2_0)),esk1_0) ),
inference(pm,[status(thm)],[c_0_68,c_0_100]) ).
cnf(c_0_113,plain,
( k7_relat_1(X1,X2) = X1
| k1_relat_1(k7_relat_1(X1,X2)) != k1_relat_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(er,[status(thm)],[c_0_101]) ).
cnf(c_0_114,negated_conjecture,
k1_relat_1(k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0))) = k3_xboole_0(esk1_0,k1_closure3(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_102,c_0_103]),c_0_104]),c_0_105])]) ).
cnf(c_0_115,negated_conjecture,
v1_funct_1(esk3_0),
inference(pm,[status(thm)],[c_0_57,c_0_40]) ).
cnf(c_0_116,negated_conjecture,
k1_relat_1(esk2_0) = esk1_0,
inference(pm,[status(thm)],[c_0_66,c_0_106]) ).
cnf(c_0_117,negated_conjecture,
v1_relat_1(esk2_0),
inference(pm,[status(thm)],[c_0_56,c_0_106]) ).
cnf(c_0_118,negated_conjecture,
v1_funct_1(esk2_0),
inference(pm,[status(thm)],[c_0_57,c_0_106]) ).
cnf(c_0_119,plain,
( k1_funct_1(X1,X2) != k1_xboole_0
| ~ r2_hidden(X2,X3)
| ~ m1_pboole(X1,X3)
| ~ v2_relat_1(X1) ),
inference(pm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_120,negated_conjecture,
( k1_funct_1(esk3_0,esk22_2(esk1_0,k1_closure3(esk1_0,esk2_0))) = k1_xboole_0
| k1_closure3(esk1_0,esk2_0) = esk1_0
| r2_hidden(esk22_2(esk1_0,k1_closure3(esk1_0,esk2_0)),k1_closure3(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_109,c_0_60]),c_0_40])]) ).
cnf(c_0_121,negated_conjecture,
v2_relat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_122,plain,
( k3_xboole_0(X1,X2) = X1
| r2_hidden(esk22_2(X1,k3_xboole_0(X1,X2)),X1) ),
inference(ef,[status(thm)],[c_0_110]) ).
cnf(c_0_123,negated_conjecture,
k3_xboole_0(esk1_0,k1_closure3(esk1_0,esk2_0)) = k1_closure3(esk1_0,esk2_0),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_111,c_0_112]),c_0_41]),c_0_30]) ).
cnf(c_0_124,negated_conjecture,
( k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0)) = esk3_0
| k3_xboole_0(esk1_0,k1_closure3(esk1_0,esk2_0)) != esk1_0 ),
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(pm,[status(thm)],[c_0_113,c_0_103]),c_0_103]),c_0_114]),c_0_104]),c_0_105]),c_0_115])]) ).
cnf(c_0_125,negated_conjecture,
( k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0)) = esk2_0
| k3_xboole_0(esk1_0,k1_closure3(esk1_0,esk2_0)) != esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_113,c_0_114]),c_0_116]),c_0_117]),c_0_118])]) ).
cnf(c_0_126,negated_conjecture,
( k1_closure3(esk1_0,esk2_0) = esk1_0
| r2_hidden(esk22_2(esk1_0,k1_closure3(esk1_0,esk2_0)),k1_closure3(esk1_0,esk2_0))
| ~ r2_hidden(esk22_2(esk1_0,k1_closure3(esk1_0,esk2_0)),X1)
| ~ m1_pboole(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_119,c_0_120]),c_0_121])]) ).
cnf(c_0_127,negated_conjecture,
( k1_closure3(esk1_0,esk2_0) = esk1_0
| r2_hidden(esk22_2(esk1_0,k1_closure3(esk1_0,esk2_0)),esk1_0) ),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_122,c_0_123]),c_0_123]) ).
cnf(c_0_128,negated_conjecture,
( esk3_0 = esk2_0
| k3_xboole_0(esk1_0,k1_closure3(esk1_0,esk2_0)) != esk1_0 ),
inference(pm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_129,plain,
( X1 = X2
| ~ r2_hidden(esk22_2(X1,X2),X2)
| ~ r2_hidden(esk22_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_130,negated_conjecture,
( k1_closure3(esk1_0,esk2_0) = esk1_0
| r2_hidden(esk22_2(esk1_0,k1_closure3(esk1_0,esk2_0)),k1_closure3(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_126,c_0_127]),c_0_40])]) ).
cnf(c_0_131,negated_conjecture,
( esk3_0 = esk2_0
| k1_closure3(esk1_0,esk2_0) != esk1_0 ),
inference(rw,[status(thm)],[c_0_128,c_0_123]) ).
cnf(c_0_132,negated_conjecture,
k1_closure3(esk1_0,esk2_0) = esk1_0,
inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_129,c_0_130]),c_0_127]) ).
fof(c_0_133,plain,
! [X4,X5,X6] :
( ( ~ r6_pboole(X4,X5,X6)
| X5 = X6
| ~ m1_pboole(X5,X4)
| ~ m1_pboole(X6,X4) )
& ( X5 != X6
| r6_pboole(X4,X5,X6)
| ~ m1_pboole(X5,X4)
| ~ m1_pboole(X6,X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r6_pboole])])]) ).
cnf(c_0_134,negated_conjecture,
~ r6_pboole(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_135,negated_conjecture,
esk3_0 = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_132])]) ).
cnf(c_0_136,plain,
( r6_pboole(X2,X3,X1)
| ~ m1_pboole(X1,X2)
| ~ m1_pboole(X3,X2)
| X3 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_137,negated_conjecture,
~ r6_pboole(esk1_0,esk2_0,esk2_0),
inference(rw,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_138,plain,
( r6_pboole(X1,X2,X2)
| ~ m1_pboole(X2,X1) ),
inference(er,[status(thm)],[c_0_136]) ).
cnf(c_0_139,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_137,c_0_138]),c_0_106])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG226+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n025.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 22:15:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.36/23.41 eprover: CPU time limit exceeded, terminating
% 0.36/23.42 eprover: CPU time limit exceeded, terminating
% 0.36/23.42 eprover: CPU time limit exceeded, terminating
% 0.36/24.61 eprover: CPU time limit exceeded, terminating
% 0.47/46.43 eprover: CPU time limit exceeded, terminating
% 0.47/46.44 eprover: CPU time limit exceeded, terminating
% 0.47/46.46 eprover: CPU time limit exceeded, terminating
% 0.48/47.63 eprover: CPU time limit exceeded, terminating
% 0.49/48.66 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.49/48.66
% 0.49/48.66 # Failure: Resource limit exceeded (time)
% 0.49/48.66 # OLD status Res
% 0.49/48.66 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.49/48.66 # Preprocessing time : 0.020 s
% 0.49/48.66 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.49/48.66
% 0.49/48.66 # Failure: Resource limit exceeded (time)
% 0.49/48.66 # OLD status Res
% 0.49/48.66 # Preprocessing time : 0.020 s
% 0.49/48.66 # Running protocol protocol_eprover_eb48853eb71ccd2a6fdade56c25b63f5692e1a0c for 23 seconds:
% 0.49/48.66 # Preprocessing time : 0.010 s
% 0.49/48.66
% 0.49/48.66 # Proof found!
% 0.49/48.66 # SZS status Theorem
% 0.49/48.66 # SZS output start CNFRefutation
% See solution above
% 0.49/48.67 # Proof object total steps : 140
% 0.49/48.67 # Proof object clause steps : 96
% 0.49/48.67 # Proof object formula steps : 44
% 0.49/48.67 # Proof object conjectures : 38
% 0.49/48.67 # Proof object clause conjectures : 35
% 0.49/48.67 # Proof object formula conjectures : 3
% 0.49/48.67 # Proof object initial clauses used : 42
% 0.49/48.67 # Proof object initial formulas used : 22
% 0.49/48.67 # Proof object generating inferences : 47
% 0.49/48.67 # Proof object simplifying inferences : 53
% 0.49/48.67 # Training examples: 0 positive, 0 negative
% 0.49/48.67 # Parsed axioms : 57
% 0.49/48.67 # Removed by relevancy pruning/SinE : 0
% 0.49/48.67 # Initial clauses : 109
% 0.49/48.67 # Removed in clause preprocessing : 8
% 0.49/48.67 # Initial clauses in saturation : 101
% 0.49/48.67 # Processed clauses : 5991
% 0.49/48.67 # ...of these trivial : 31
% 0.49/48.67 # ...subsumed : 3408
% 0.49/48.67 # ...remaining for further processing : 2552
% 0.49/48.67 # Other redundant clauses eliminated : 63
% 0.49/48.67 # Clauses deleted for lack of memory : 0
% 0.49/48.67 # Backward-subsumed : 95
% 0.49/48.67 # Backward-rewritten : 529
% 0.49/48.67 # Generated clauses : 92511
% 0.49/48.67 # ...of the previous two non-trivial : 88960
% 0.49/48.67 # Contextual simplify-reflections : 2680
% 0.49/48.67 # Paramodulations : 91994
% 0.49/48.67 # Factorizations : 178
% 0.49/48.67 # Equation resolutions : 180
% 0.49/48.67 # Current number of processed clauses : 1860
% 0.49/48.67 # Positive orientable unit clauses : 119
% 0.49/48.67 # Positive unorientable unit clauses: 1
% 0.49/48.67 # Negative unit clauses : 46
% 0.49/48.67 # Non-unit-clauses : 1694
% 0.49/48.67 # Current number of unprocessed clauses: 65294
% 0.49/48.67 # ...number of literals in the above : 418821
% 0.49/48.67 # Current number of archived formulas : 0
% 0.49/48.67 # Current number of archived clauses : 631
% 0.49/48.67 # Clause-clause subsumption calls (NU) : 996760
% 0.49/48.67 # Rec. Clause-clause subsumption calls : 171642
% 0.49/48.67 # Non-unit clause-clause subsumptions : 5488
% 0.49/48.67 # Unit Clause-clause subsumption calls : 69884
% 0.49/48.67 # Rewrite failures with RHS unbound : 0
% 0.49/48.67 # BW rewrite match attempts : 85
% 0.49/48.67 # BW rewrite match successes : 85
% 0.49/48.67 # Condensation attempts : 0
% 0.49/48.67 # Condensation successes : 0
% 0.49/48.67 # Termbank termtop insertions : 1446946
% 0.49/48.67
% 0.49/48.67 # -------------------------------------------------
% 0.49/48.67 # User time : 1.529 s
% 0.49/48.67 # System time : 0.037 s
% 0.49/48.67 # Total time : 1.566 s
% 0.49/48.67 # Maximum resident set size: 74344 pages
% 0.49/69.47 eprover: CPU time limit exceeded, terminating
% 0.49/69.48 eprover: CPU time limit exceeded, terminating
% 0.49/69.49 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.49 eprover: No such file or directory
% 0.49/69.50 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.50 eprover: No such file or directory
% 0.49/69.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.51 eprover: No such file or directory
% 0.49/69.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.51 eprover: No such file or directory
% 0.49/69.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.51 eprover: No such file or directory
% 0.49/69.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.51 eprover: No such file or directory
% 0.49/69.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.52 eprover: No such file or directory
% 0.49/69.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.52 eprover: No such file or directory
% 0.49/69.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.52 eprover: No such file or directory
% 0.49/69.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.52 eprover: No such file or directory
% 0.49/69.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.53 eprover: No such file or directory
% 0.49/69.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.53 eprover: No such file or directory
% 0.49/69.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.53 eprover: No such file or directory
% 0.49/69.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.54 eprover: No such file or directory
% 0.49/69.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/69.54 eprover: No such file or directory
% 0.49/69.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/69.54 eprover: No such file or directory
% 0.49/70.64 eprover: CPU time limit exceeded, terminating
% 0.49/70.66 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/70.66 eprover: No such file or directory
% 0.49/70.66 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/70.66 eprover: No such file or directory
% 0.49/70.67 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/70.67 eprover: No such file or directory
% 0.49/70.67 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/70.67 eprover: No such file or directory
% 0.49/70.68 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/70.68 eprover: No such file or directory
% 0.49/70.69 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/70.69 eprover: No such file or directory
% 0.49/70.69 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/70.69 eprover: No such file or directory
%------------------------------------------------------------------------------