%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU427+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 : Tue Jul 19 09:20:03 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 60 ( 17 unt; 0 def)
% Number of atoms : 134 ( 43 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 132 ( 58 ~; 45 |; 11 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-4 aty)
% Number of variables : 125 ( 2 sgn 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t26_relset_2,conjecture,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X1))
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ( k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,X5),k3_pua2mss1(X3)) = k1_xboole_0
=> k8_relset_2(X1,X2,k4_subset_1(X1,X3,X4),X5) = k8_relset_2(X1,X2,X4,X5) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t26_relset_2) ).
fof(redefinition_k8_relset_2,axiom,
! [X1,X2,X3,X4] :
( ( m1_subset_1(X3,k1_zfmisc_1(X1))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> k8_relset_2(X1,X2,X3,X4) = k7_relset_2(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k8_relset_2) ).
fof(d4_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> k7_relset_2(X1,X2,X3,X4) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,X4),k3_pua2mss1(X3))) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d4_relset_2) ).
fof(redefinition_k4_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> k4_subset_1(X1,X2,X3) = k2_xboole_0(X2,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k4_subset_1) ).
fof(redefinition_k4_relset_2,axiom,
! [X1,X2,X3,X4] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,k1_zfmisc_1(X2))))
=> k4_relset_2(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k4_relset_2) ).
fof(t153_relat_1,axiom,
! [X1,X2,X3] :
( v1_relat_1(X3)
=> k9_relat_1(X3,k2_xboole_0(X1,X2)) = k2_xboole_0(k9_relat_1(X3,X1),k9_relat_1(X3,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t153_relat_1) ).
fof(t3_relset_2,axiom,
! [X1,X2] : k3_pua2mss1(k2_xboole_0(X1,X2)) = k2_xboole_0(k3_pua2mss1(X1),k3_pua2mss1(X2)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t3_relset_2) ).
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.mepo_128.in',cc1_relset_1) ).
fof(t1_boole,axiom,
! [X1] : k2_xboole_0(X1,k1_xboole_0) = X1,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t1_boole) ).
fof(commutativity_k2_xboole_0,axiom,
! [X1,X2] : k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',commutativity_k2_xboole_0) ).
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.mepo_128.in',dt_m2_relset_1) ).
fof(dt_k6_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
=> ( v1_funct_1(k6_relset_2(X1,X2,X3))
& v1_funct_2(k6_relset_2(X1,X2,X3),k1_zfmisc_1(X2),k1_zfmisc_1(X1))
& m2_relset_1(k6_relset_2(X1,X2,X3),k1_zfmisc_1(X2),k1_zfmisc_1(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k6_relset_2) ).
fof(dt_k4_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> m1_subset_1(k4_subset_1(X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k4_subset_1) ).
fof(c_0_13,negated_conjecture,
~ ! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X1))
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ( k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,X5),k3_pua2mss1(X3)) = k1_xboole_0
=> k8_relset_2(X1,X2,k4_subset_1(X1,X3,X4),X5) = k8_relset_2(X1,X2,X4,X5) ) ) ) ),
inference(assume_negation,[status(cth)],[t26_relset_2]) ).
fof(c_0_14,negated_conjecture,
( m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0))
& m1_subset_1(esk4_0,k1_zfmisc_1(esk1_0))
& m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
& k4_relset_2(k1_zfmisc_1(esk1_0),esk2_0,k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(esk3_0)) = k1_xboole_0
& k8_relset_2(esk1_0,esk2_0,k4_subset_1(esk1_0,esk3_0,esk4_0),esk5_0) != k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_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)],[c_0_13])])])])]) ).
fof(c_0_15,plain,
! [X5,X6,X7,X8] :
( ~ m1_subset_1(X7,k1_zfmisc_1(X5))
| ~ m1_subset_1(X8,k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
| k8_relset_2(X5,X6,X7,X8) = k7_relset_2(X5,X6,X7,X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k8_relset_2])]) ).
cnf(c_0_16,negated_conjecture,
k8_relset_2(esk1_0,esk2_0,k4_subset_1(esk1_0,esk3_0,esk4_0),esk5_0) != k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,plain,
( k8_relset_2(X1,X2,X3,X4) = k7_relset_2(X1,X2,X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,negated_conjecture,
m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0) != k7_relset_2(esk1_0,esk2_0,k4_subset_1(esk1_0,esk3_0,esk4_0),esk5_0)
| ~ m1_subset_1(k4_subset_1(esk1_0,esk3_0,esk4_0),k1_zfmisc_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_20,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_21,plain,
! [X5,X6,X7,X8] :
( ~ m1_subset_1(X7,k1_zfmisc_1(X5))
| ~ m1_subset_1(X8,k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
| k7_relset_2(X5,X6,X7,X8) = k8_setfam_1(X6,k4_relset_2(k1_zfmisc_1(X5),X6,k6_relset_2(X6,X5,X8),k3_pua2mss1(X7))) ),
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)],[d4_relset_2])])])])]) ).
cnf(c_0_22,negated_conjecture,
( k7_relset_2(esk1_0,esk2_0,k4_subset_1(esk1_0,esk3_0,esk4_0),esk5_0) != k7_relset_2(esk1_0,esk2_0,esk4_0,esk5_0)
| ~ m1_subset_1(k4_subset_1(esk1_0,esk3_0,esk4_0),k1_zfmisc_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_17]),c_0_18]),c_0_20])]) ).
cnf(c_0_23,plain,
( k7_relset_2(X1,X2,X3,X4) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,X4),k3_pua2mss1(X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_24,negated_conjecture,
( k7_relset_2(esk1_0,esk2_0,esk4_0,esk5_0) != k8_setfam_1(esk2_0,k4_relset_2(k1_zfmisc_1(esk1_0),esk2_0,k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(k4_subset_1(esk1_0,esk3_0,esk4_0))))
| ~ m1_subset_1(k4_subset_1(esk1_0,esk3_0,esk4_0),k1_zfmisc_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_18])]) ).
fof(c_0_25,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4))
| k4_subset_1(X4,X5,X6) = k2_xboole_0(X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_subset_1])]) ).
cnf(c_0_26,negated_conjecture,
( k8_setfam_1(esk2_0,k4_relset_2(k1_zfmisc_1(esk1_0),esk2_0,k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(k4_subset_1(esk1_0,esk3_0,esk4_0)))) != k8_setfam_1(esk2_0,k4_relset_2(k1_zfmisc_1(esk1_0),esk2_0,k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(esk4_0)))
| ~ m1_subset_1(k4_subset_1(esk1_0,esk3_0,esk4_0),k1_zfmisc_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_23]),c_0_18]),c_0_20])]) ).
cnf(c_0_27,plain,
( k4_subset_1(X1,X2,X3) = k2_xboole_0(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_28,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_29,plain,
! [X5,X6,X7,X8] :
( ~ m1_subset_1(X7,k1_zfmisc_1(k2_zfmisc_1(X5,k1_zfmisc_1(X6))))
| k4_relset_2(X5,X6,X7,X8) = k9_relat_1(X7,X8) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_relset_2])])])]) ).
cnf(c_0_30,negated_conjecture,
( k8_setfam_1(esk2_0,k4_relset_2(k1_zfmisc_1(esk1_0),esk2_0,k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(k2_xboole_0(esk3_0,esk4_0)))) != k8_setfam_1(esk2_0,k4_relset_2(k1_zfmisc_1(esk1_0),esk2_0,k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(esk4_0)))
| ~ m1_subset_1(k2_xboole_0(esk3_0,esk4_0),k1_zfmisc_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_20]),c_0_28])]) ).
cnf(c_0_31,plain,
( k4_relset_2(X1,X2,X3,X4) = k9_relat_1(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,k1_zfmisc_1(X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_32,plain,
! [X4,X5,X6] :
( ~ v1_relat_1(X6)
| k9_relat_1(X6,k2_xboole_0(X4,X5)) = k2_xboole_0(k9_relat_1(X6,X4),k9_relat_1(X6,X5)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t153_relat_1])]) ).
fof(c_0_33,plain,
! [X3,X4] : k3_pua2mss1(k2_xboole_0(X3,X4)) = k2_xboole_0(k3_pua2mss1(X3),k3_pua2mss1(X4)),
inference(variable_rename,[status(thm)],[t3_relset_2]) ).
cnf(c_0_34,negated_conjecture,
( k8_setfam_1(esk2_0,k4_relset_2(k1_zfmisc_1(esk1_0),esk2_0,k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(esk4_0))) != k8_setfam_1(esk2_0,k9_relat_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(k2_xboole_0(esk3_0,esk4_0))))
| ~ m1_subset_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(esk1_0),k1_zfmisc_1(esk2_0))))
| ~ m1_subset_1(k2_xboole_0(esk3_0,esk4_0),k1_zfmisc_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,plain,
( k9_relat_1(X1,k2_xboole_0(X2,X3)) = k2_xboole_0(k9_relat_1(X1,X2),k9_relat_1(X1,X3))
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_36,plain,
k3_pua2mss1(k2_xboole_0(X1,X2)) = k2_xboole_0(k3_pua2mss1(X1),k3_pua2mss1(X2)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_37,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])]) ).
fof(c_0_38,plain,
! [X2] : k2_xboole_0(X2,k1_xboole_0) = X2,
inference(variable_rename,[status(thm)],[t1_boole]) ).
fof(c_0_39,plain,
! [X3,X4] : k2_xboole_0(X3,X4) = k2_xboole_0(X4,X3),
inference(variable_rename,[status(thm)],[commutativity_k2_xboole_0]) ).
cnf(c_0_40,negated_conjecture,
( k8_setfam_1(esk2_0,k9_relat_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(k2_xboole_0(esk3_0,esk4_0)))) != k8_setfam_1(esk2_0,k9_relat_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(esk4_0)))
| ~ m1_subset_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(esk1_0),k1_zfmisc_1(esk2_0))))
| ~ m1_subset_1(k2_xboole_0(esk3_0,esk4_0),k1_zfmisc_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_31]) ).
cnf(c_0_41,plain,
( k9_relat_1(X1,k3_pua2mss1(k2_xboole_0(X2,X3))) = k2_xboole_0(k9_relat_1(X1,k3_pua2mss1(X2)),k9_relat_1(X1,k3_pua2mss1(X3)))
| ~ v1_relat_1(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,negated_conjecture,
k4_relset_2(k1_zfmisc_1(esk1_0),esk2_0,k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(esk3_0)) = k1_xboole_0,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_44,plain,
k2_xboole_0(X1,k1_xboole_0) = X1,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,plain,
k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_46,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_47,plain,
! [X4,X5,X6] :
( ( v1_funct_1(k6_relset_2(X4,X5,X6))
| ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X5,X4))) )
& ( v1_funct_2(k6_relset_2(X4,X5,X6),k1_zfmisc_1(X5),k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X5,X4))) )
& ( m2_relset_1(k6_relset_2(X4,X5,X6),k1_zfmisc_1(X5),k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X5,X4))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_relset_2])])]) ).
cnf(c_0_48,negated_conjecture,
( k8_setfam_1(esk2_0,k2_xboole_0(k9_relat_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(esk3_0)),k9_relat_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(esk4_0)))) != k8_setfam_1(esk2_0,k9_relat_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(esk4_0)))
| ~ m1_subset_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(esk1_0),k1_zfmisc_1(esk2_0))))
| ~ m1_subset_1(k2_xboole_0(esk3_0,esk4_0),k1_zfmisc_1(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_49,negated_conjecture,
( k9_relat_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(esk3_0)) = k1_xboole_0
| ~ m1_subset_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(esk1_0),k1_zfmisc_1(esk2_0)))) ),
inference(spm,[status(thm)],[c_0_43,c_0_31]) ).
cnf(c_0_50,plain,
k2_xboole_0(k1_xboole_0,X1) = X1,
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,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_46]) ).
cnf(c_0_52,plain,
( m2_relset_1(k6_relset_2(X3,X2,X1),k1_zfmisc_1(X2),k1_zfmisc_1(X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_53,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4))
| m1_subset_1(k4_subset_1(X4,X5,X6),k1_zfmisc_1(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_subset_1])]) ).
cnf(c_0_54,negated_conjecture,
( ~ m1_subset_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(esk1_0),k1_zfmisc_1(esk2_0))))
| ~ m1_subset_1(k2_xboole_0(esk3_0,esk4_0),k1_zfmisc_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]) ).
cnf(c_0_55,plain,
( m1_subset_1(k6_relset_2(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(X2),k1_zfmisc_1(X1))))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_56,plain,
( m1_subset_1(k4_subset_1(X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_57,negated_conjecture,
~ m1_subset_1(k2_xboole_0(esk3_0,esk4_0),k1_zfmisc_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_18])]) ).
cnf(c_0_58,plain,
( m1_subset_1(k2_xboole_0(X1,X2),k1_zfmisc_1(X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
inference(spm,[status(thm)],[c_0_56,c_0_27]) ).
cnf(c_0_59,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_20]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU427+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n021.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 : Mon Jun 20 08:29:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.42 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/1.42 # Preprocessing time : 0.017 s
% 0.23/1.42
% 0.23/1.42 # Proof found!
% 0.23/1.42 # SZS status Theorem
% 0.23/1.42 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 60
% 0.23/1.42 # Proof object clause steps : 33
% 0.23/1.42 # Proof object formula steps : 27
% 0.23/1.42 # Proof object conjectures : 20
% 0.23/1.42 # Proof object clause conjectures : 17
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 17
% 0.23/1.42 # Proof object initial formulas used : 13
% 0.23/1.42 # Proof object generating inferences : 16
% 0.23/1.42 # Proof object simplifying inferences : 21
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 59
% 0.23/1.42 # Removed by relevancy pruning/SinE : 0
% 0.23/1.42 # Initial clauses : 78
% 0.23/1.42 # Removed in clause preprocessing : 8
% 0.23/1.42 # Initial clauses in saturation : 70
% 0.23/1.42 # Processed clauses : 307
% 0.23/1.42 # ...of these trivial : 14
% 0.23/1.42 # ...subsumed : 80
% 0.23/1.42 # ...remaining for further processing : 213
% 0.23/1.42 # Other redundant clauses eliminated : 0
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 9
% 0.23/1.42 # Backward-rewritten : 8
% 0.23/1.42 # Generated clauses : 656
% 0.23/1.42 # ...of the previous two non-trivial : 537
% 0.23/1.42 # Contextual simplify-reflections : 16
% 0.23/1.42 # Paramodulations : 653
% 0.23/1.42 # Factorizations : 0
% 0.23/1.42 # Equation resolutions : 0
% 0.23/1.42 # Current number of processed clauses : 195
% 0.23/1.42 # Positive orientable unit clauses : 64
% 0.23/1.42 # Positive unorientable unit clauses: 1
% 0.23/1.42 # Negative unit clauses : 7
% 0.23/1.42 # Non-unit-clauses : 123
% 0.23/1.42 # Current number of unprocessed clauses: 276
% 0.23/1.42 # ...number of literals in the above : 564
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 17
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 4641
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 4127
% 0.23/1.42 # Non-unit clause-clause subsumptions : 89
% 0.23/1.42 # Unit Clause-clause subsumption calls : 583
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 22
% 0.23/1.42 # BW rewrite match successes : 14
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 13822
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.037 s
% 0.23/1.42 # System time : 0.002 s
% 0.23/1.42 # Total time : 0.039 s
% 0.23/1.42 # Maximum resident set size: 3800 pages
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: CPU time limit exceeded, terminating
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.50 eprover: No such file or directory
% 0.23/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.51 eprover: No such file or directory
%------------------------------------------------------------------------------