TSTP Solution File: LAT345+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT345+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 : Sun Jul 17 04:47:31 EDT 2022
% Result : Theorem 0.51s 52.69s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 17
% Syntax : Number of formulae : 124 ( 42 unt; 0 def)
% Number of atoms : 376 ( 94 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 400 ( 148 ~; 174 |; 52 &)
% ( 2 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 2 con; 0-3 aty)
% Number of variables : 150 ( 17 sgn 77 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t20_conlat_2,conjecture,
! [X1] :
( ( ~ v3_conlat_1(X1)
& v4_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( ( v6_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) )
=> k9_conlat_2(k7_conlat_2(X1),k9_conlat_2(X1,X2)) = X2 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t20_conlat_2) ).
fof(dt_k7_conlat_2,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( ~ v3_conlat_1(k7_conlat_2(X1))
& v4_conlat_1(k7_conlat_2(X1))
& l2_conlat_1(k7_conlat_2(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_k7_conlat_2) ).
fof(dt_u3_conlat_1,axiom,
! [X1] :
( l2_conlat_1(X1)
=> m2_relset_1(u3_conlat_1(X1),u1_conlat_1(X1),u2_conlat_1(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_u3_conlat_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/sandbox2/solver/bin/../tmp/theBenchmark.p',redefinition_m2_relset_1) ).
fof(abstractness_v4_conlat_1,axiom,
! [X1] :
( l2_conlat_1(X1)
=> ( v4_conlat_1(X1)
=> X1 = g2_conlat_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',abstractness_v4_conlat_1) ).
fof(d7_conlat_2,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> k7_conlat_2(X1) = g2_conlat_1(u2_conlat_1(X1),u1_conlat_1(X1),k6_relset_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d7_conlat_2) ).
fof(redefinition_k6_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> k6_relset_1(X1,X2,X3) = k4_relat_1(X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',redefinition_k6_relset_1) ).
fof(free_g2_conlat_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> ! [X4,X5,X6] :
( g2_conlat_1(X1,X2,X3) = g2_conlat_1(X4,X5,X6)
=> ( X1 = X4
& X2 = X5
& X3 = X6 ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',free_g2_conlat_1) ).
fof(redefinition_k9_conlat_2,axiom,
! [X1,X2] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) )
=> k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',redefinition_k9_conlat_2) ).
fof(dt_k9_conlat_2,axiom,
! [X1,X2] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) )
=> ( v6_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& ~ v7_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& v9_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& l3_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_k9_conlat_2) ).
fof(dt_k8_conlat_2,axiom,
! [X1,X2] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1)
& l3_conlat_1(X2,X1) )
=> ( v6_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
& l3_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_k8_conlat_2) ).
fof(d8_conlat_2,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( l3_conlat_1(X2,X1)
=> ! [X3] :
( ( v6_conlat_1(X3,k7_conlat_2(X1))
& l3_conlat_1(X3,k7_conlat_2(X1)) )
=> ( X3 = k8_conlat_2(X1,X2)
<=> ( u4_conlat_1(k7_conlat_2(X1),X3) = u5_conlat_1(X1,X2)
& u5_conlat_1(k7_conlat_2(X1),X3) = u4_conlat_1(X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d8_conlat_2) ).
fof(dt_l2_conlat_1,axiom,
! [X1] :
( l2_conlat_1(X1)
=> l1_conlat_1(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_l2_conlat_1) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_m2_relset_1) ).
fof(abstractness_v6_conlat_1,axiom,
! [X1,X2] :
( ( l1_conlat_1(X1)
& l3_conlat_1(X2,X1) )
=> ( v6_conlat_1(X2,X1)
=> X2 = g3_conlat_1(X1,u4_conlat_1(X1,X2),u5_conlat_1(X1,X2)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',abstractness_v6_conlat_1) ).
fof(cc1_relset_1,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> v1_relat_1(X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',cc1_relset_1) ).
fof(involutiveness_k4_relat_1,axiom,
! [X1] :
( v1_relat_1(X1)
=> k4_relat_1(k4_relat_1(X1)) = X1 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',involutiveness_k4_relat_1) ).
fof(c_0_17,negated_conjecture,
~ ! [X1] :
( ( ~ v3_conlat_1(X1)
& v4_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( ( v6_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) )
=> k9_conlat_2(k7_conlat_2(X1),k9_conlat_2(X1,X2)) = X2 ) ),
inference(assume_negation,[status(cth)],[t20_conlat_2]) ).
fof(c_0_18,plain,
! [X2] :
( ( ~ v3_conlat_1(k7_conlat_2(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v4_conlat_1(k7_conlat_2(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( l2_conlat_1(k7_conlat_2(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k7_conlat_2])])])]) ).
fof(c_0_19,negated_conjecture,
( ~ v3_conlat_1(esk1_0)
& v4_conlat_1(esk1_0)
& l2_conlat_1(esk1_0)
& v6_conlat_1(esk2_0,esk1_0)
& ~ v7_conlat_1(esk2_0,esk1_0)
& v9_conlat_1(esk2_0,esk1_0)
& l3_conlat_1(esk2_0,esk1_0)
& k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_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_17])])])])])]) ).
fof(c_0_20,plain,
! [X2] :
( ~ l2_conlat_1(X2)
| m2_relset_1(u3_conlat_1(X2),u1_conlat_1(X2),u2_conlat_1(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u3_conlat_1])]) ).
cnf(c_0_21,plain,
( v3_conlat_1(X1)
| l2_conlat_1(k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,negated_conjecture,
l2_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,negated_conjecture,
~ v3_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_24,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])])])]) ).
cnf(c_0_25,plain,
( m2_relset_1(u3_conlat_1(X1),u1_conlat_1(X1),u2_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,negated_conjecture,
l2_conlat_1(k7_conlat_2(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
fof(c_0_27,plain,
! [X2] :
( ~ l2_conlat_1(X2)
| ~ v4_conlat_1(X2)
| X2 = g2_conlat_1(u1_conlat_1(X2),u2_conlat_1(X2),u3_conlat_1(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v4_conlat_1])]) ).
cnf(c_0_28,plain,
( v3_conlat_1(X1)
| v4_conlat_1(k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_29,plain,
! [X2] :
( v3_conlat_1(X2)
| ~ l2_conlat_1(X2)
| k7_conlat_2(X2) = g2_conlat_1(u2_conlat_1(X2),u1_conlat_1(X2),k6_relset_1(u1_conlat_1(X2),u2_conlat_1(X2),u3_conlat_1(X2))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d7_conlat_2])])]) ).
fof(c_0_30,plain,
! [X4,X5,X6] :
( ~ m1_relset_1(X6,X4,X5)
| k6_relset_1(X4,X5,X6) = k4_relat_1(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k6_relset_1])]) ).
cnf(c_0_31,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,negated_conjecture,
m2_relset_1(u3_conlat_1(esk1_0),u1_conlat_1(esk1_0),u2_conlat_1(esk1_0)),
inference(spm,[status(thm)],[c_0_25,c_0_22]) ).
fof(c_0_33,plain,
! [X7,X8,X9,X10,X11,X12] :
( ( X7 = X10
| g2_conlat_1(X7,X8,X9) != g2_conlat_1(X10,X11,X12)
| ~ m1_relset_1(X9,X7,X8) )
& ( X8 = X11
| g2_conlat_1(X7,X8,X9) != g2_conlat_1(X10,X11,X12)
| ~ m1_relset_1(X9,X7,X8) )
& ( X9 = X12
| g2_conlat_1(X7,X8,X9) != g2_conlat_1(X10,X11,X12)
| ~ m1_relset_1(X9,X7,X8) ) ),
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)],[free_g2_conlat_1])])])])])]) ).
cnf(c_0_34,negated_conjecture,
m2_relset_1(u3_conlat_1(k7_conlat_2(esk1_0)),u1_conlat_1(k7_conlat_2(esk1_0)),u2_conlat_1(k7_conlat_2(esk1_0))),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_35,plain,
( X1 = g2_conlat_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1))
| ~ v4_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_36,negated_conjecture,
v4_conlat_1(k7_conlat_2(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_22]),c_0_23]) ).
cnf(c_0_37,plain,
( k7_conlat_2(X1) = g2_conlat_1(u2_conlat_1(X1),u1_conlat_1(X1),k6_relset_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1)))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,plain,
( k6_relset_1(X1,X2,X3) = k4_relat_1(X3)
| ~ m1_relset_1(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,negated_conjecture,
m1_relset_1(u3_conlat_1(esk1_0),u1_conlat_1(esk1_0),u2_conlat_1(esk1_0)),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_40,plain,
( X3 = X5
| ~ m1_relset_1(X1,X2,X3)
| g2_conlat_1(X2,X3,X1) != g2_conlat_1(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,negated_conjecture,
m1_relset_1(u3_conlat_1(k7_conlat_2(esk1_0)),u1_conlat_1(k7_conlat_2(esk1_0)),u2_conlat_1(k7_conlat_2(esk1_0))),
inference(spm,[status(thm)],[c_0_31,c_0_34]) ).
cnf(c_0_42,negated_conjecture,
g2_conlat_1(u1_conlat_1(k7_conlat_2(esk1_0)),u2_conlat_1(k7_conlat_2(esk1_0)),u3_conlat_1(k7_conlat_2(esk1_0))) = k7_conlat_2(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_26]),c_0_36])]) ).
cnf(c_0_43,negated_conjecture,
g2_conlat_1(u2_conlat_1(esk1_0),u1_conlat_1(esk1_0),k6_relset_1(u1_conlat_1(esk1_0),u2_conlat_1(esk1_0),u3_conlat_1(esk1_0))) = k7_conlat_2(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_22]),c_0_23]) ).
cnf(c_0_44,negated_conjecture,
k6_relset_1(u1_conlat_1(esk1_0),u2_conlat_1(esk1_0),u3_conlat_1(esk1_0)) = k4_relat_1(u3_conlat_1(esk1_0)),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_45,plain,
! [X3,X4] :
( v3_conlat_1(X3)
| ~ l2_conlat_1(X3)
| v7_conlat_1(X4,X3)
| ~ v9_conlat_1(X4,X3)
| ~ l3_conlat_1(X4,X3)
| k9_conlat_2(X3,X4) = k8_conlat_2(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k9_conlat_2])])]) ).
cnf(c_0_46,negated_conjecture,
( u2_conlat_1(k7_conlat_2(esk1_0)) = X1
| g2_conlat_1(X2,X1,X3) != k7_conlat_2(esk1_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_47,negated_conjecture,
g2_conlat_1(u2_conlat_1(esk1_0),u1_conlat_1(esk1_0),k4_relat_1(u3_conlat_1(esk1_0))) = k7_conlat_2(esk1_0),
inference(rw,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_48,plain,
! [X3,X4] :
( ( v6_conlat_1(k9_conlat_2(X3,X4),k7_conlat_2(X3))
| v3_conlat_1(X3)
| ~ l2_conlat_1(X3)
| v7_conlat_1(X4,X3)
| ~ v9_conlat_1(X4,X3)
| ~ l3_conlat_1(X4,X3) )
& ( ~ v7_conlat_1(k9_conlat_2(X3,X4),k7_conlat_2(X3))
| v3_conlat_1(X3)
| ~ l2_conlat_1(X3)
| v7_conlat_1(X4,X3)
| ~ v9_conlat_1(X4,X3)
| ~ l3_conlat_1(X4,X3) )
& ( v9_conlat_1(k9_conlat_2(X3,X4),k7_conlat_2(X3))
| v3_conlat_1(X3)
| ~ l2_conlat_1(X3)
| v7_conlat_1(X4,X3)
| ~ v9_conlat_1(X4,X3)
| ~ l3_conlat_1(X4,X3) )
& ( l3_conlat_1(k9_conlat_2(X3,X4),k7_conlat_2(X3))
| v3_conlat_1(X3)
| ~ l2_conlat_1(X3)
| v7_conlat_1(X4,X3)
| ~ v9_conlat_1(X4,X3)
| ~ l3_conlat_1(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k9_conlat_2])])])]) ).
cnf(c_0_49,plain,
( k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2)
| v7_conlat_1(X2,X1)
| v3_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_50,negated_conjecture,
l3_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_51,negated_conjecture,
v9_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_52,negated_conjecture,
~ v7_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_53,negated_conjecture,
u2_conlat_1(k7_conlat_2(esk1_0)) = u1_conlat_1(esk1_0),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
fof(c_0_54,plain,
! [X3,X4] :
( ( v6_conlat_1(k8_conlat_2(X3,X4),k7_conlat_2(X3))
| v3_conlat_1(X3)
| ~ l2_conlat_1(X3)
| ~ l3_conlat_1(X4,X3) )
& ( l3_conlat_1(k8_conlat_2(X3,X4),k7_conlat_2(X3))
| v3_conlat_1(X3)
| ~ l2_conlat_1(X3)
| ~ l3_conlat_1(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k8_conlat_2])])])]) ).
cnf(c_0_55,plain,
( v7_conlat_1(X1,X2)
| v3_conlat_1(X2)
| l3_conlat_1(k9_conlat_2(X2,X1),k7_conlat_2(X2))
| ~ l3_conlat_1(X1,X2)
| ~ v9_conlat_1(X1,X2)
| ~ l2_conlat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_56,negated_conjecture,
k9_conlat_2(esk1_0,esk2_0) = k8_conlat_2(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_22])]),c_0_52]),c_0_23]) ).
fof(c_0_57,plain,
! [X4,X5,X6] :
( ( u4_conlat_1(k7_conlat_2(X4),X6) = u5_conlat_1(X4,X5)
| X6 != k8_conlat_2(X4,X5)
| ~ v6_conlat_1(X6,k7_conlat_2(X4))
| ~ l3_conlat_1(X6,k7_conlat_2(X4))
| ~ l3_conlat_1(X5,X4)
| v3_conlat_1(X4)
| ~ l2_conlat_1(X4) )
& ( u5_conlat_1(k7_conlat_2(X4),X6) = u4_conlat_1(X4,X5)
| X6 != k8_conlat_2(X4,X5)
| ~ v6_conlat_1(X6,k7_conlat_2(X4))
| ~ l3_conlat_1(X6,k7_conlat_2(X4))
| ~ l3_conlat_1(X5,X4)
| v3_conlat_1(X4)
| ~ l2_conlat_1(X4) )
& ( u4_conlat_1(k7_conlat_2(X4),X6) != u5_conlat_1(X4,X5)
| u5_conlat_1(k7_conlat_2(X4),X6) != u4_conlat_1(X4,X5)
| X6 = k8_conlat_2(X4,X5)
| ~ v6_conlat_1(X6,k7_conlat_2(X4))
| ~ l3_conlat_1(X6,k7_conlat_2(X4))
| ~ l3_conlat_1(X5,X4)
| v3_conlat_1(X4)
| ~ l2_conlat_1(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)],[d8_conlat_2])])])])])])]) ).
cnf(c_0_58,plain,
( v7_conlat_1(X1,X2)
| v3_conlat_1(X2)
| v6_conlat_1(k9_conlat_2(X2,X1),k7_conlat_2(X2))
| ~ l3_conlat_1(X1,X2)
| ~ v9_conlat_1(X1,X2)
| ~ l2_conlat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_59,plain,
( X2 = X4
| ~ m1_relset_1(X1,X2,X3)
| g2_conlat_1(X2,X3,X1) != g2_conlat_1(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_60,negated_conjecture,
m1_relset_1(u3_conlat_1(k7_conlat_2(esk1_0)),u1_conlat_1(k7_conlat_2(esk1_0)),u1_conlat_1(esk1_0)),
inference(rw,[status(thm)],[c_0_41,c_0_53]) ).
cnf(c_0_61,negated_conjecture,
g2_conlat_1(u1_conlat_1(k7_conlat_2(esk1_0)),u1_conlat_1(esk1_0),u3_conlat_1(k7_conlat_2(esk1_0))) = k7_conlat_2(esk1_0),
inference(rw,[status(thm)],[c_0_42,c_0_53]) ).
fof(c_0_62,plain,
! [X2] :
( ~ l2_conlat_1(X2)
| l1_conlat_1(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_conlat_1])]) ).
cnf(c_0_63,plain,
( v3_conlat_1(X2)
| l3_conlat_1(k8_conlat_2(X2,X1),k7_conlat_2(X2))
| ~ l3_conlat_1(X1,X2)
| ~ l2_conlat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_64,negated_conjecture,
l3_conlat_1(k8_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_50]),c_0_51]),c_0_22])]),c_0_52]),c_0_23]),c_0_56]) ).
cnf(c_0_65,plain,
( v3_conlat_1(X2)
| v6_conlat_1(k8_conlat_2(X2,X1),k7_conlat_2(X2))
| ~ l3_conlat_1(X1,X2)
| ~ l2_conlat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_66,plain,
( v3_conlat_1(X1)
| u5_conlat_1(k7_conlat_2(X1),X3) = u4_conlat_1(X1,X2)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ l3_conlat_1(X3,k7_conlat_2(X1))
| ~ v6_conlat_1(X3,k7_conlat_2(X1))
| X3 != k8_conlat_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_67,negated_conjecture,
v6_conlat_1(k8_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_50]),c_0_51]),c_0_22])]),c_0_52]),c_0_23]),c_0_56]) ).
cnf(c_0_68,negated_conjecture,
( u1_conlat_1(k7_conlat_2(esk1_0)) = X1
| g2_conlat_1(X1,X2,X3) != k7_conlat_2(esk1_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).
fof(c_0_69,plain,
! [X4,X5,X6] :
( ~ m2_relset_1(X6,X4,X5)
| m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X5))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
fof(c_0_70,plain,
! [X3,X4] :
( ~ l1_conlat_1(X3)
| ~ l3_conlat_1(X4,X3)
| ~ v6_conlat_1(X4,X3)
| X4 = g3_conlat_1(X3,u4_conlat_1(X3,X4),u5_conlat_1(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v6_conlat_1])]) ).
cnf(c_0_71,plain,
( l1_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_72,negated_conjecture,
( l2_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_21,c_0_26]) ).
cnf(c_0_73,plain,
( v3_conlat_1(X1)
| u4_conlat_1(k7_conlat_2(X1),X3) = u5_conlat_1(X1,X2)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ l3_conlat_1(X3,k7_conlat_2(X1))
| ~ v6_conlat_1(X3,k7_conlat_2(X1))
| X3 != k8_conlat_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_74,negated_conjecture,
( l3_conlat_1(k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)),k7_conlat_2(k7_conlat_2(esk1_0)))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_26])]) ).
cnf(c_0_75,negated_conjecture,
( v6_conlat_1(k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)),k7_conlat_2(k7_conlat_2(esk1_0)))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_64]),c_0_26])]) ).
cnf(c_0_76,negated_conjecture,
( u5_conlat_1(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)) = u4_conlat_1(esk1_0,X1)
| k8_conlat_2(esk1_0,esk2_0) != k8_conlat_2(esk1_0,X1)
| ~ l3_conlat_1(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_66,c_0_64]),c_0_67]),c_0_22])]),c_0_23]) ).
cnf(c_0_77,negated_conjecture,
u1_conlat_1(k7_conlat_2(esk1_0)) = u2_conlat_1(esk1_0),
inference(spm,[status(thm)],[c_0_68,c_0_47]) ).
fof(c_0_78,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
| v1_relat_1(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
cnf(c_0_79,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_80,plain,
( X1 = g3_conlat_1(X2,u4_conlat_1(X2,X1),u5_conlat_1(X2,X1))
| ~ v6_conlat_1(X1,X2)
| ~ l3_conlat_1(X1,X2)
| ~ l1_conlat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_81,negated_conjecture,
( l1_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_82,negated_conjecture,
( u4_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0))) = u5_conlat_1(k7_conlat_2(esk1_0),X1)
| v3_conlat_1(k7_conlat_2(esk1_0))
| k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)) != k8_conlat_2(k7_conlat_2(esk1_0),X1)
| ~ l3_conlat_1(X1,k7_conlat_2(esk1_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_26])]),c_0_75]) ).
cnf(c_0_83,negated_conjecture,
u5_conlat_1(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)) = u4_conlat_1(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_76,c_0_50]) ).
cnf(c_0_84,negated_conjecture,
( u4_conlat_1(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)) = u5_conlat_1(esk1_0,X1)
| k8_conlat_2(esk1_0,esk2_0) != k8_conlat_2(esk1_0,X1)
| ~ l3_conlat_1(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_73,c_0_64]),c_0_67]),c_0_22])]),c_0_23]) ).
cnf(c_0_85,negated_conjecture,
( g2_conlat_1(u2_conlat_1(k7_conlat_2(esk1_0)),u1_conlat_1(k7_conlat_2(esk1_0)),k6_relset_1(u1_conlat_1(k7_conlat_2(esk1_0)),u2_conlat_1(k7_conlat_2(esk1_0)),u3_conlat_1(k7_conlat_2(esk1_0)))) = k7_conlat_2(k7_conlat_2(esk1_0))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_37,c_0_26]) ).
cnf(c_0_86,negated_conjecture,
k6_relset_1(u1_conlat_1(k7_conlat_2(esk1_0)),u1_conlat_1(esk1_0),u3_conlat_1(k7_conlat_2(esk1_0))) = k4_relat_1(u3_conlat_1(k7_conlat_2(esk1_0))),
inference(spm,[status(thm)],[c_0_38,c_0_60]) ).
cnf(c_0_87,plain,
( X1 = X6
| ~ m1_relset_1(X1,X2,X3)
| g2_conlat_1(X2,X3,X1) != g2_conlat_1(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_88,negated_conjecture,
m1_relset_1(u3_conlat_1(k7_conlat_2(esk1_0)),u2_conlat_1(esk1_0),u1_conlat_1(esk1_0)),
inference(rw,[status(thm)],[c_0_60,c_0_77]) ).
cnf(c_0_89,negated_conjecture,
g2_conlat_1(u2_conlat_1(esk1_0),u1_conlat_1(esk1_0),u3_conlat_1(k7_conlat_2(esk1_0))) = k7_conlat_2(esk1_0),
inference(rw,[status(thm)],[c_0_61,c_0_77]) ).
fof(c_0_90,plain,
! [X2] :
( ~ v1_relat_1(X2)
| k4_relat_1(k4_relat_1(X2)) = X2 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k4_relat_1])]) ).
cnf(c_0_91,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_92,negated_conjecture,
m1_subset_1(u3_conlat_1(esk1_0),k1_zfmisc_1(k2_zfmisc_1(u1_conlat_1(esk1_0),u2_conlat_1(esk1_0)))),
inference(spm,[status(thm)],[c_0_79,c_0_32]) ).
cnf(c_0_93,plain,
( v7_conlat_1(X1,X2)
| v3_conlat_1(X2)
| v9_conlat_1(k9_conlat_2(X2,X1),k7_conlat_2(X2))
| ~ l3_conlat_1(X1,X2)
| ~ v9_conlat_1(X1,X2)
| ~ l2_conlat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_94,plain,
( v7_conlat_1(X1,X2)
| v3_conlat_1(X2)
| ~ l3_conlat_1(X1,X2)
| ~ v9_conlat_1(X1,X2)
| ~ l2_conlat_1(X2)
| ~ v7_conlat_1(k9_conlat_2(X2,X1),k7_conlat_2(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_95,negated_conjecture,
( g3_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),u4_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0))),u5_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)))) = k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_74]),c_0_75]),c_0_81]) ).
cnf(c_0_96,negated_conjecture,
( u4_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0))) = u4_conlat_1(esk1_0,esk2_0)
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_82]),c_0_83]),c_0_64])]) ).
cnf(c_0_97,negated_conjecture,
( u5_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0))) = u4_conlat_1(k7_conlat_2(esk1_0),X1)
| v3_conlat_1(k7_conlat_2(esk1_0))
| k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)) != k8_conlat_2(k7_conlat_2(esk1_0),X1)
| ~ l3_conlat_1(X1,k7_conlat_2(esk1_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_74]),c_0_26])]),c_0_75]) ).
cnf(c_0_98,negated_conjecture,
u4_conlat_1(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)) = u5_conlat_1(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_84,c_0_50]) ).
cnf(c_0_99,negated_conjecture,
( g2_conlat_1(u1_conlat_1(esk1_0),u1_conlat_1(k7_conlat_2(esk1_0)),k4_relat_1(u3_conlat_1(k7_conlat_2(esk1_0)))) = k7_conlat_2(k7_conlat_2(esk1_0))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_53]),c_0_53]),c_0_86]) ).
cnf(c_0_100,negated_conjecture,
( u3_conlat_1(k7_conlat_2(esk1_0)) = X1
| g2_conlat_1(X2,X3,X1) != k7_conlat_2(esk1_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).
cnf(c_0_101,plain,
( k4_relat_1(k4_relat_1(X1)) = X1
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_102,negated_conjecture,
v1_relat_1(u3_conlat_1(esk1_0)),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_103,negated_conjecture,
v4_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_104,negated_conjecture,
k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_105,negated_conjecture,
v9_conlat_1(k8_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_50]),c_0_51]),c_0_22])]),c_0_52]),c_0_23]),c_0_56]) ).
cnf(c_0_106,negated_conjecture,
~ v7_conlat_1(k8_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)),
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(spm,[status(thm)],[c_0_94,c_0_56]),c_0_50]),c_0_51]),c_0_22])]),c_0_52]),c_0_23]) ).
cnf(c_0_107,negated_conjecture,
( g3_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),u4_conlat_1(esk1_0,esk2_0),u5_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)))) = k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_108,negated_conjecture,
( u5_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0))) = u5_conlat_1(esk1_0,esk2_0)
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_97]),c_0_98]),c_0_64])]) ).
cnf(c_0_109,negated_conjecture,
( g2_conlat_1(u1_conlat_1(esk1_0),u2_conlat_1(esk1_0),k4_relat_1(u3_conlat_1(k7_conlat_2(esk1_0)))) = k7_conlat_2(k7_conlat_2(esk1_0))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(rw,[status(thm)],[c_0_99,c_0_77]) ).
cnf(c_0_110,negated_conjecture,
u3_conlat_1(k7_conlat_2(esk1_0)) = k4_relat_1(u3_conlat_1(esk1_0)),
inference(spm,[status(thm)],[c_0_100,c_0_47]) ).
cnf(c_0_111,negated_conjecture,
k4_relat_1(k4_relat_1(u3_conlat_1(esk1_0))) = u3_conlat_1(esk1_0),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_112,negated_conjecture,
g2_conlat_1(u1_conlat_1(esk1_0),u2_conlat_1(esk1_0),u3_conlat_1(esk1_0)) = esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_22]),c_0_103])]) ).
cnf(c_0_113,negated_conjecture,
v6_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_114,negated_conjecture,
l1_conlat_1(esk1_0),
inference(spm,[status(thm)],[c_0_71,c_0_22]) ).
cnf(c_0_115,negated_conjecture,
k9_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)) != esk2_0,
inference(rw,[status(thm)],[c_0_104,c_0_56]) ).
cnf(c_0_116,negated_conjecture,
( k9_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)) = k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_64]),c_0_105]),c_0_26])]),c_0_106]) ).
cnf(c_0_117,negated_conjecture,
( g3_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),u4_conlat_1(esk1_0,esk2_0),u5_conlat_1(esk1_0,esk2_0)) = k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_118,negated_conjecture,
( k7_conlat_2(k7_conlat_2(esk1_0)) = esk1_0
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_110]),c_0_111]),c_0_112]) ).
cnf(c_0_119,negated_conjecture,
g3_conlat_1(esk1_0,u4_conlat_1(esk1_0,esk2_0),u5_conlat_1(esk1_0,esk2_0)) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_50]),c_0_113])]),c_0_114])]) ).
cnf(c_0_120,negated_conjecture,
( v3_conlat_1(k7_conlat_2(esk1_0))
| k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)) != esk2_0 ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_121,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_conlat_1(k7_conlat_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_122,negated_conjecture,
v3_conlat_1(k7_conlat_2(esk1_0)),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]),c_0_120]) ).
cnf(c_0_123,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_22])]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT345+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.12 % Command : run_ET %s %d
% 0.12/0.32 % Computer : n026.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Wed Jun 29 07:37:33 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.33/23.39 eprover: CPU time limit exceeded, terminating
% 0.33/23.39 eprover: CPU time limit exceeded, terminating
% 0.33/23.40 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.33/23.40
% 0.48/46.40 eprover: CPU time limit exceeded, terminating
% 0.48/46.41 eprover: CPU time limit exceeded, terminating
% 0.48/46.41 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.48/46.41
% 0.51/52.69 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.51/52.69
% 0.51/52.69 # Failure: Resource limit exceeded (time)
% 0.51/52.69 # OLD status Res
% 0.51/52.69 # Preprocessing time : 0.019 s
% 0.51/52.69 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.51/52.69
% 0.51/52.69 # Failure: Resource limit exceeded (time)
% 0.51/52.69 # OLD status Res
% 0.51/52.69 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.51/52.69 # Preprocessing time : 0.009 s
% 0.51/52.69 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 0.51/52.69 # Preprocessing time : 0.010 s
% 0.51/52.69
% 0.51/52.69 # Proof found!
% 0.51/52.69 # SZS status Theorem
% 0.51/52.69 # SZS output start CNFRefutation
% See solution above
% 0.51/52.69 # Proof object total steps : 124
% 0.51/52.69 # Proof object clause steps : 89
% 0.51/52.69 # Proof object formula steps : 35
% 0.51/52.69 # Proof object conjectures : 67
% 0.51/52.69 # Proof object clause conjectures : 64
% 0.51/52.69 # Proof object formula conjectures : 3
% 0.51/52.69 # Proof object initial clauses used : 33
% 0.51/52.69 # Proof object initial formulas used : 17
% 0.51/52.69 # Proof object generating inferences : 47
% 0.51/52.69 # Proof object simplifying inferences : 91
% 0.51/52.69 # Training examples: 0 positive, 0 negative
% 0.51/52.69 # Parsed axioms : 69
% 0.51/52.69 # Removed by relevancy pruning/SinE : 0
% 0.51/52.69 # Initial clauses : 109
% 0.51/52.69 # Removed in clause preprocessing : 9
% 0.51/52.69 # Initial clauses in saturation : 100
% 0.51/52.69 # Processed clauses : 17736
% 0.51/52.69 # ...of these trivial : 482
% 0.51/52.69 # ...subsumed : 2823
% 0.51/52.69 # ...remaining for further processing : 14431
% 0.51/52.69 # Other redundant clauses eliminated : 0
% 0.51/52.69 # Clauses deleted for lack of memory : 0
% 0.51/52.69 # Backward-subsumed : 375
% 0.51/52.69 # Backward-rewritten : 2846
% 0.51/52.69 # Generated clauses : 155002
% 0.51/52.69 # ...of the previous two non-trivial : 154838
% 0.51/52.69 # Contextual simplify-reflections : 1495
% 0.51/52.69 # Paramodulations : 154085
% 0.51/52.69 # Factorizations : 0
% 0.51/52.69 # Equation resolutions : 917
% 0.51/52.69 # Current number of processed clauses : 11210
% 0.51/52.69 # Positive orientable unit clauses : 921
% 0.51/52.69 # Positive unorientable unit clauses: 0
% 0.51/52.69 # Negative unit clauses : 62
% 0.51/52.69 # Non-unit-clauses : 10227
% 0.51/52.69 # Current number of unprocessed clauses: 84593
% 0.51/52.69 # ...number of literals in the above : 275885
% 0.51/52.69 # Current number of archived formulas : 0
% 0.51/52.69 # Current number of archived clauses : 3221
% 0.51/52.69 # Clause-clause subsumption calls (NU) : 26072972
% 0.51/52.69 # Rec. Clause-clause subsumption calls : 14045859
% 0.51/52.69 # Non-unit clause-clause subsumptions : 4542
% 0.51/52.69 # Unit Clause-clause subsumption calls : 284658
% 0.51/52.69 # Rewrite failures with RHS unbound : 0
% 0.51/52.69 # BW rewrite match attempts : 5391
% 0.51/52.69 # BW rewrite match successes : 123
% 0.51/52.69 # Condensation attempts : 0
% 0.51/52.69 # Condensation successes : 0
% 0.51/52.69 # Termbank termtop insertions : 4387336
% 0.51/52.69
% 0.51/52.69 # -------------------------------------------------
% 0.51/52.69 # User time : 6.054 s
% 0.51/52.69 # System time : 0.073 s
% 0.51/52.69 # Total time : 6.127 s
% 0.51/52.69 # Maximum resident set size: 104932 pages
% 0.51/69.42 eprover: CPU time limit exceeded, terminating
% 0.51/69.43 eprover: CPU time limit exceeded, terminating
% 0.51/69.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.43 eprover: No such file or directory
% 0.51/69.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.43 eprover: No such file or directory
% 0.51/69.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.44 eprover: No such file or directory
% 0.51/69.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.44 eprover: No such file or directory
% 0.51/69.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.44 eprover: No such file or directory
% 0.51/69.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.44 eprover: No such file or directory
% 0.51/69.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.44 eprover: No such file or directory
% 0.51/69.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.45 eprover: No such file or directory
% 0.51/69.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.45 eprover: No such file or directory
% 0.51/69.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.45 eprover: No such file or directory
% 0.51/69.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.45 eprover: No such file or directory
% 0.51/69.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.45 eprover: No such file or directory
% 0.51/69.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.46 eprover: No such file or directory
% 0.51/69.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.46 eprover: No such file or directory
% 0.51/69.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.46 eprover: No such file or directory
% 0.51/69.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.47 eprover: No such file or directory
% 0.51/69.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.47 eprover: No such file or directory
% 0.51/69.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/69.48 eprover: No such file or directory
% 0.51/69.49 eprover: CPU time limit exceeded, terminating
% 0.51/69.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/69.51 eprover: No such file or directory
% 0.51/69.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/69.51 eprover: No such file or directory
% 0.51/69.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/69.51 eprover: No such file or directory
% 0.51/69.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/69.52 eprover: No such file or directory
% 0.51/69.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/69.52 eprover: No such file or directory
% 0.51/69.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/69.52 eprover: No such file or directory
% 0.51/69.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/69.53 eprover: No such file or directory
% 0.51/69.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/69.53 eprover: No such file or directory
%------------------------------------------------------------------------------