TSTP Solution File: SEU432+3 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU432+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n007.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 09:20:08 EDT 2022
% Result : Theorem 1.42s 34.62s
% Output : CNFRefutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 81 ( 44 unt; 0 def)
% Number of atoms : 161 ( 36 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 147 ( 67 ~; 56 |; 8 &)
% ( 1 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-4 aty)
% Number of variables : 174 ( 15 sgn 94 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t33_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)))
=> r1_tarski(k4_subset_1(X2,k8_relset_2(X1,X2,X3,X5),k8_relset_2(X1,X2,X4,X5)),k8_relset_2(X1,X2,k5_subset_1(X1,X3,X4),X5)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t33_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/benchmark/Axioms/SET007/SET007+7.ax',redefinition_k4_subset_1) ).
fof(t8_xboole_1,axiom,
! [X1,X2,X3] :
( ( r1_tarski(X1,X2)
& r1_tarski(X3,X2) )
=> r1_tarski(k2_xboole_0(X1,X3),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t8_xboole_1) ).
fof(t32_relset_2,axiom,
! [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)))
=> ( r1_tarski(X3,X4)
=> r1_tarski(k8_relset_2(X1,X2,X4,X5),k8_relset_2(X1,X2,X3,X5)) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t32_relset_2) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+9.ax',t3_subset) ).
fof(t7_xboole_1,axiom,
! [X1,X2] : r1_tarski(X1,k2_xboole_0(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t7_xboole_1) ).
fof(t51_xboole_1,axiom,
! [X1,X2] : k2_xboole_0(k3_xboole_0(X1,X2),k4_xboole_0(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t51_xboole_1) ).
fof(t48_xboole_1,axiom,
! [X1,X2] : k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k3_xboole_0(X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t48_xboole_1) ).
fof(commutativity_k2_xboole_0,axiom,
! [X1,X2] : k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+2.ax',commutativity_k2_xboole_0) ).
fof(dt_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))) )
=> m1_subset_1(k8_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_k8_relset_2) ).
fof(t39_xboole_1,axiom,
! [X1,X2] : k2_xboole_0(X1,k4_xboole_0(X2,X1)) = k2_xboole_0(X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t39_xboole_1) ).
fof(t4_xboole_1,axiom,
! [X1,X2,X3] : k2_xboole_0(k2_xboole_0(X1,X2),X3) = k2_xboole_0(X1,k2_xboole_0(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t4_xboole_1) ).
fof(t12_xboole_1,axiom,
! [X1,X2] :
( r1_tarski(X1,X2)
=> k2_xboole_0(X1,X2) = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t12_xboole_1) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+2.ax',commutativity_k3_xboole_0) ).
fof(t17_xboole_1,axiom,
! [X1,X2] : r1_tarski(k3_xboole_0(X1,X2),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t17_xboole_1) ).
fof(t47_xboole_1,axiom,
! [X1,X2] : k4_xboole_0(X1,k3_xboole_0(X1,X2)) = k4_xboole_0(X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t47_xboole_1) ).
fof(redefinition_k5_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+7.ax',redefinition_k5_subset_1) ).
fof(c_0_17,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)))
=> r1_tarski(k4_subset_1(X2,k8_relset_2(X1,X2,X3,X5),k8_relset_2(X1,X2,X4,X5)),k8_relset_2(X1,X2,k5_subset_1(X1,X3,X4),X5)) ) ) ),
inference(assume_negation,[status(cth)],[t33_relset_2]) ).
fof(c_0_18,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)))
& ~ r1_tarski(k4_subset_1(esk2_0,k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0)),k8_relset_2(esk1_0,esk2_0,k5_subset_1(esk1_0,esk3_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_17])])])])]) ).
fof(c_0_19,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_20,negated_conjecture,
~ r1_tarski(k4_subset_1(esk2_0,k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0)),k8_relset_2(esk1_0,esk2_0,k5_subset_1(esk1_0,esk3_0,esk4_0),esk5_0)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_21,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_19]) ).
fof(c_0_22,plain,
! [X4,X5,X6] :
( ~ r1_tarski(X4,X5)
| ~ r1_tarski(X6,X5)
| r1_tarski(k2_xboole_0(X4,X6),X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_xboole_1])]) ).
cnf(c_0_23,negated_conjecture,
( ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ r1_tarski(k2_xboole_0(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0)),k8_relset_2(esk1_0,esk2_0,k5_subset_1(esk1_0,esk3_0,esk4_0),esk5_0)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,plain,
( r1_tarski(k2_xboole_0(X1,X2),X3)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_25,plain,
! [X6,X7,X8,X9,X10] :
( ~ m1_subset_1(X8,k1_zfmisc_1(X6))
| ~ m1_subset_1(X9,k1_zfmisc_1(X6))
| ~ m1_subset_1(X10,k1_zfmisc_1(k2_zfmisc_1(X6,X7)))
| ~ r1_tarski(X8,X9)
| r1_tarski(k8_relset_2(X6,X7,X9,X10),k8_relset_2(X6,X7,X8,X10)) ),
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)],[t32_relset_2])])])])]) ).
fof(c_0_26,plain,
! [X3,X4,X3,X4] :
( ( ~ m1_subset_1(X3,k1_zfmisc_1(X4))
| r1_tarski(X3,X4) )
& ( ~ r1_tarski(X3,X4)
| m1_subset_1(X3,k1_zfmisc_1(X4)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])])]) ).
fof(c_0_27,plain,
! [X3,X4] : r1_tarski(X3,k2_xboole_0(X3,X4)),
inference(variable_rename,[status(thm)],[t7_xboole_1]) ).
cnf(c_0_28,negated_conjecture,
( ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ r1_tarski(k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),k8_relset_2(esk1_0,esk2_0,k5_subset_1(esk1_0,esk3_0,esk4_0),esk5_0))
| ~ r1_tarski(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k8_relset_2(esk1_0,esk2_0,k5_subset_1(esk1_0,esk3_0,esk4_0),esk5_0)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,plain,
( r1_tarski(k8_relset_2(X1,X2,X3,X4),k8_relset_2(X1,X2,X5,X4))
| ~ r1_tarski(X5,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X5,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_30,negated_conjecture,
m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_31,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_32,plain,
! [X3,X4] : k2_xboole_0(k3_xboole_0(X3,X4),k4_xboole_0(X3,X4)) = X3,
inference(variable_rename,[status(thm)],[t51_xboole_1]) ).
fof(c_0_33,plain,
! [X3,X4] : k4_xboole_0(X3,k4_xboole_0(X3,X4)) = k3_xboole_0(X3,X4),
inference(variable_rename,[status(thm)],[t48_xboole_1]) ).
cnf(c_0_34,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
r1_tarski(X1,k2_xboole_0(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_36,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_37,negated_conjecture,
( ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(k5_subset_1(esk1_0,esk3_0,esk4_0),k1_zfmisc_1(esk1_0))
| ~ r1_tarski(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k8_relset_2(esk1_0,esk2_0,k5_subset_1(esk1_0,esk3_0,esk4_0),esk5_0))
| ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31])]) ).
cnf(c_0_38,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_39,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)))
| m1_subset_1(k8_relset_2(X5,X6,X7,X8),k1_zfmisc_1(X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relset_2])]) ).
cnf(c_0_40,plain,
k2_xboole_0(k3_xboole_0(X1,X2),k4_xboole_0(X1,X2)) = X1,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,plain,
k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k3_xboole_0(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_42,plain,
! [X3,X4] : k2_xboole_0(X3,k4_xboole_0(X4,X3)) = k2_xboole_0(X3,X4),
inference(variable_rename,[status(thm)],[t39_xboole_1]) ).
cnf(c_0_43,plain,
m1_subset_1(X1,k1_zfmisc_1(k2_xboole_0(X1,X2))),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_44,plain,
k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_45,plain,
! [X4,X5,X6] : k2_xboole_0(k2_xboole_0(X4,X5),X6) = k2_xboole_0(X4,k2_xboole_0(X5,X6)),
inference(variable_rename,[status(thm)],[t4_xboole_1]) ).
fof(c_0_46,plain,
! [X3,X4] :
( ~ r1_tarski(X3,X4)
| k2_xboole_0(X3,X4) = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_xboole_1])]) ).
cnf(c_0_47,negated_conjecture,
( ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(k5_subset_1(esk1_0,esk3_0,esk4_0),k1_zfmisc_1(esk1_0))
| ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk4_0)
| ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_29]),c_0_30]),c_0_38])]) ).
cnf(c_0_48,plain,
( m1_subset_1(k8_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2))
| ~ 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_39]) ).
cnf(c_0_49,plain,
k2_xboole_0(k4_xboole_0(X1,k4_xboole_0(X1,X2)),k4_xboole_0(X1,X2)) = X1,
inference(rw,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_50,plain,
k2_xboole_0(X1,k4_xboole_0(X2,X1)) = k2_xboole_0(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_51,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_52,plain,
! [X3,X4] : r1_tarski(k3_xboole_0(X3,X4),X3),
inference(variable_rename,[status(thm)],[t17_xboole_1]) ).
fof(c_0_53,plain,
! [X3,X4] : k4_xboole_0(X3,k3_xboole_0(X3,X4)) = k4_xboole_0(X3,X4),
inference(variable_rename,[status(thm)],[t47_xboole_1]) ).
cnf(c_0_54,plain,
m1_subset_1(X1,k1_zfmisc_1(k2_xboole_0(X2,X1))),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_55,plain,
k2_xboole_0(k2_xboole_0(X1,X2),X3) = k2_xboole_0(X1,k2_xboole_0(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_56,plain,
( k2_xboole_0(X1,X2) = X2
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_57,negated_conjecture,
( ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(k5_subset_1(esk1_0,esk3_0,esk4_0),k1_zfmisc_1(esk1_0))
| ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk4_0)
| ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_30]),c_0_31])]) ).
fof(c_0_58,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4))
| k5_subset_1(X4,X5,X6) = k3_xboole_0(X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_subset_1])]) ).
cnf(c_0_59,plain,
k2_xboole_0(X1,k4_xboole_0(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_44]),c_0_50]),c_0_44]) ).
cnf(c_0_60,plain,
k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_61,plain,
r1_tarski(k3_xboole_0(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_62,plain,
k4_xboole_0(X1,k3_xboole_0(X1,X2)) = k4_xboole_0(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_63,plain,
m1_subset_1(X1,k1_zfmisc_1(k2_xboole_0(X2,k2_xboole_0(X3,X1)))),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_64,plain,
( k2_xboole_0(X1,X2) = X1
| ~ r1_tarski(X2,X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_56]) ).
cnf(c_0_65,negated_conjecture,
( ~ m1_subset_1(k5_subset_1(esk1_0,esk3_0,esk4_0),k1_zfmisc_1(esk1_0))
| ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk4_0)
| ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_48]),c_0_30]),c_0_38])]) ).
cnf(c_0_66,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_67,plain,
( k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_68,plain,
m1_subset_1(k4_xboole_0(X1,X2),k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_54,c_0_59]) ).
cnf(c_0_69,plain,
k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k4_xboole_0(X2,k4_xboole_0(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_41]),c_0_41]) ).
cnf(c_0_70,plain,
r1_tarski(k4_xboole_0(X1,k4_xboole_0(X1,X2)),X1),
inference(rw,[status(thm)],[c_0_61,c_0_41]) ).
cnf(c_0_71,plain,
k4_xboole_0(X1,k4_xboole_0(X1,k4_xboole_0(X1,X2))) = k4_xboole_0(X1,X2),
inference(rw,[status(thm)],[c_0_62,c_0_41]) ).
cnf(c_0_72,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(k2_xboole_0(X3,X1),X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_73,negated_conjecture,
( ~ m1_subset_1(k5_subset_1(esk1_0,esk3_0,esk4_0),k1_zfmisc_1(esk1_0))
| ~ m1_subset_1(k5_subset_1(esk1_0,esk3_0,esk4_0),k1_zfmisc_1(esk4_0))
| ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_74,plain,
( k5_subset_1(X1,X2,X3) = k4_xboole_0(X2,k4_xboole_0(X2,X3))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(rw,[status(thm)],[c_0_67,c_0_41]) ).
cnf(c_0_75,plain,
m1_subset_1(k4_xboole_0(X1,k4_xboole_0(X1,X2)),k1_zfmisc_1(X2)),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_76,plain,
r1_tarski(k4_xboole_0(X1,X2),X1),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_77,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(k2_xboole_0(X3,X1),k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[c_0_72,c_0_66]) ).
cnf(c_0_78,negated_conjecture,
~ m1_subset_1(k4_xboole_0(esk3_0,k4_xboole_0(esk3_0,esk4_0)),k1_zfmisc_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]),c_0_76]),c_0_31]),c_0_38])]) ).
cnf(c_0_79,plain,
( m1_subset_1(k4_xboole_0(X1,X2),k1_zfmisc_1(X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
inference(spm,[status(thm)],[c_0_77,c_0_59]) ).
cnf(c_0_80,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_38])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU432+3 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.13 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 07:02:46 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.34/24.40 eprover: CPU time limit exceeded, terminating
% 1.34/24.40 eprover: CPU time limit exceeded, terminating
% 1.34/24.40 eprover: CPU time limit exceeded, terminating
% 1.34/24.41 eprover: CPU time limit exceeded, terminating
% 1.42/34.62 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 1.42/34.62
% 1.42/34.62 # Failure: Resource limit exceeded (time)
% 1.42/34.62 # OLD status Res
% 1.42/34.62 # Preprocessing time : 4.444 s
% 1.42/34.62 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 1.42/34.62 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 1.42/34.62 # Preprocessing time : 0.632 s
% 1.42/34.62
% 1.42/34.62 # Proof found!
% 1.42/34.62 # SZS status Theorem
% 1.42/34.62 # SZS output start CNFRefutation
% See solution above
% 1.42/34.62 # Proof object total steps : 81
% 1.42/34.62 # Proof object clause steps : 46
% 1.42/34.62 # Proof object formula steps : 35
% 1.42/34.62 # Proof object conjectures : 16
% 1.42/34.62 # Proof object clause conjectures : 13
% 1.42/34.62 # Proof object formula conjectures : 3
% 1.42/34.62 # Proof object initial clauses used : 21
% 1.42/34.62 # Proof object initial formulas used : 17
% 1.42/34.62 # Proof object generating inferences : 19
% 1.42/34.62 # Proof object simplifying inferences : 28
% 1.42/34.62 # Training examples: 0 positive, 0 negative
% 1.42/34.62 # Parsed axioms : 19104
% 1.42/34.62 # Removed by relevancy pruning/SinE : 18511
% 1.42/34.62 # Initial clauses : 1129
% 1.42/34.62 # Removed in clause preprocessing : 13
% 1.42/34.62 # Initial clauses in saturation : 1116
% 1.42/34.62 # Processed clauses : 51174
% 1.42/34.62 # ...of these trivial : 97
% 1.42/34.62 # ...subsumed : 45068
% 1.42/34.62 # ...remaining for further processing : 6009
% 1.42/34.62 # Other redundant clauses eliminated : 337
% 1.42/34.62 # Clauses deleted for lack of memory : 0
% 1.42/34.62 # Backward-subsumed : 716
% 1.42/34.62 # Backward-rewritten : 120
% 1.42/34.62 # Generated clauses : 259116
% 1.42/34.62 # ...of the previous two non-trivial : 246094
% 1.42/34.62 # Contextual simplify-reflections : 23377
% 1.42/34.62 # Paramodulations : 258702
% 1.42/34.62 # Factorizations : 20
% 1.42/34.62 # Equation resolutions : 393
% 1.42/34.62 # Current number of processed clauses : 5149
% 1.42/34.62 # Positive orientable unit clauses : 182
% 1.42/34.62 # Positive unorientable unit clauses: 3
% 1.42/34.62 # Negative unit clauses : 223
% 1.42/34.62 # Non-unit-clauses : 4741
% 1.42/34.62 # Current number of unprocessed clauses: 144689
% 1.42/34.62 # ...number of literals in the above : 581149
% 1.42/34.62 # Current number of archived formulas : 0
% 1.42/34.62 # Current number of archived clauses : 839
% 1.42/34.62 # Clause-clause subsumption calls (NU) : 21438074
% 1.42/34.62 # Rec. Clause-clause subsumption calls : 18353349
% 1.42/34.62 # Non-unit clause-clause subsumptions : 60963
% 1.42/34.62 # Unit Clause-clause subsumption calls : 55695
% 1.42/34.62 # Rewrite failures with RHS unbound : 2
% 1.42/34.62 # BW rewrite match attempts : 498
% 1.42/34.62 # BW rewrite match successes : 82
% 1.42/34.62 # Condensation attempts : 0
% 1.42/34.62 # Condensation successes : 0
% 1.42/34.62 # Termbank termtop insertions : 4158670
% 1.42/34.62
% 1.42/34.62 # -------------------------------------------------
% 1.42/34.62 # User time : 9.663 s
% 1.42/34.62 # System time : 0.101 s
% 1.42/34.62 # Total time : 9.764 s
% 1.42/34.62 # Maximum resident set size: 149700 pages
% 1.42/47.41 eprover: CPU time limit exceeded, terminating
% 1.42/47.43 eprover: CPU time limit exceeded, terminating
% 1.42/47.43 eprover: CPU time limit exceeded, terminating
% 1.42/47.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.42/47.44 eprover: No such file or directory
% 1.42/47.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.42/47.44 eprover: No such file or directory
% 1.42/47.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.42/47.44 eprover: No such file or directory
% 1.42/47.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.42/47.44 eprover: No such file or directory
% 1.42/47.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.42/47.45 eprover: No such file or directory
% 1.42/47.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.42/47.45 eprover: No such file or directory
% 1.42/47.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.42/47.45 eprover: No such file or directory
% 1.42/47.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.42/47.45 eprover: No such file or directory
% 1.42/47.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.42/47.45 eprover: No such file or directory
% 1.42/47.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.42/47.45 eprover: No such file or directory
% 1.42/47.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.42/47.46 eprover: No such file or directory
% 1.42/47.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.42/47.46 eprover: No such file or directory
% 1.42/47.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.42/47.46 eprover: No such file or directory
% 1.42/47.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.42/47.46 eprover: No such file or directory
% 1.42/47.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.42/47.46 eprover: No such file or directory
% 1.42/47.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.42/47.46 eprover: eprover: No such file or directory
% 1.42/47.46 Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.42/47.46 eprover: No such file or directory
% 1.42/47.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.42/47.47 eprover: No such file or directory
% 1.42/47.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.42/47.47 eprover: No such file or directory
% 1.42/47.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.42/47.47 eprover: No such file or directory
% 1.42/47.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.42/47.47 eprover: No such file or directory
% 1.42/47.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.42/47.47 eprover: No such file or directory
% 1.42/47.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.42/47.48 eprover: No such file or directory
% 1.42/47.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.42/47.48 eprover: No such file or directory
% 1.42/47.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.42/47.48 eprover: No such file or directory
% 1.42/47.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.42/47.48 eprover: No such file or directory
% 1.42/47.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.42/47.48 eprover: eprover: No such file or directory
% 1.42/47.48 Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.42/47.48 eprover: No such file or directory
% 1.42/47.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.42/47.49 eprover: No such file or directory
% 1.42/47.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.42/47.49 eprover: No such file or directory
%------------------------------------------------------------------------------