TSTP Solution File: SEU417+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU417+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 08:42:09 EDT 2022
% Result : Theorem 203.87s 31.93s
% Output : CNFRefutation 203.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 23
% Syntax : Number of formulae : 102 ( 52 unt; 0 def)
% Number of atoms : 199 ( 48 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 174 ( 77 ~; 67 |; 10 &)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 209 ( 6 sgn 115 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t7_relset_2,conjecture,
! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> r1_tarski(k5_subset_1(X1,k8_setfam_1(X1,X2),k8_setfam_1(X1,X3)),k8_setfam_1(X1,k1_relset_2(X1,X2,X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_relset_2) ).
fof(t8_mssubfam,axiom,
! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ( X2 = k4_subset_1(k1_zfmisc_1(X1),X3,X4)
=> k8_setfam_1(X1,X2) = k5_subset_1(X1,k8_setfam_1(X1,X3),k8_setfam_1(X1,X4)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+188.ax',t8_mssubfam) ).
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/sandbox/benchmark/Axioms/SET007/SET007+7.ax',dt_k4_subset_1) ).
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/sandbox/benchmark/Axioms/SET007/SET007+7.ax',redefinition_k4_subset_1) ).
fof(t59_setfam_1,axiom,
! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ( r1_tarski(X2,X3)
=> r1_tarski(k8_setfam_1(X1,X3),k8_setfam_1(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+8.ax',t59_setfam_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/sandbox/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/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t48_xboole_1) ).
fof(t1_xboole_1,axiom,
! [X1,X2,X3] :
( ( r1_tarski(X1,X2)
& r1_tarski(X2,X3) )
=> r1_tarski(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t1_xboole_1) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t3_subset) ).
fof(t44_xboole_1,axiom,
! [X1,X2,X3] :
( r1_tarski(k4_xboole_0(X1,X2),X3)
=> r1_tarski(X1,k2_xboole_0(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t44_xboole_1) ).
fof(t37_xboole_1,axiom,
! [X1,X2] :
( k4_xboole_0(X1,X2) = k1_xboole_0
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t37_xboole_1) ).
fof(t31_xboole_1,axiom,
! [X1,X2,X3] : r1_tarski(k2_xboole_0(k3_xboole_0(X1,X2),k3_xboole_0(X1,X3)),k2_xboole_0(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t31_xboole_1) ).
fof(t52_xboole_1,axiom,
! [X1,X2,X3] : k4_xboole_0(X1,k4_xboole_0(X2,X3)) = k2_xboole_0(k4_xboole_0(X1,X2),k3_xboole_0(X1,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t52_xboole_1) ).
fof(commutativity_k2_xboole_0,axiom,
! [X1,X2] : k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',commutativity_k2_xboole_0) ).
fof(t39_xboole_1,axiom,
! [X1,X2] : k2_xboole_0(X1,k4_xboole_0(X2,X1)) = k2_xboole_0(X1,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t39_xboole_1) ).
fof(t2_xboole_1,axiom,
! [X1] : r1_tarski(k1_xboole_0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t2_xboole_1) ).
fof(t41_xboole_1,axiom,
! [X1,X2,X3] : k4_xboole_0(k4_xboole_0(X1,X2),X3) = k4_xboole_0(X1,k2_xboole_0(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t41_xboole_1) ).
fof(dt_k1_relset_2,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
& m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1))) )
=> m1_subset_1(k1_relset_2(X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_relset_2) ).
fof(redefinition_k1_relset_2,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
& m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1))) )
=> k1_relset_2(X1,X2,X3) = k3_xboole_0(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_relset_2) ).
fof(t36_xboole_1,axiom,
! [X1,X2] : r1_tarski(k4_xboole_0(X1,X2),X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t36_xboole_1) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+1.ax',reflexivity_r1_tarski) ).
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/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t8_xboole_1) ).
fof(t3_boole,axiom,
! [X1] : k4_xboole_0(X1,k1_xboole_0) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t3_boole) ).
fof(c_0_23,negated_conjecture,
~ ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> r1_tarski(k5_subset_1(X1,k8_setfam_1(X1,X2),k8_setfam_1(X1,X3)),k8_setfam_1(X1,k1_relset_2(X1,X2,X3))) ) ),
inference(assume_negation,[status(cth)],[t7_relset_2]) ).
fof(c_0_24,plain,
! [X161,X162,X163,X164] :
( ~ m1_subset_1(X162,k1_zfmisc_1(k1_zfmisc_1(X161)))
| ~ m1_subset_1(X163,k1_zfmisc_1(k1_zfmisc_1(X161)))
| ~ m1_subset_1(X164,k1_zfmisc_1(k1_zfmisc_1(X161)))
| X162 != k4_subset_1(k1_zfmisc_1(X161),X163,X164)
| k8_setfam_1(X161,X162) = k5_subset_1(X161,k8_setfam_1(X161,X163),k8_setfam_1(X161,X164)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_mssubfam])])]) ).
fof(c_0_25,plain,
! [X805,X806,X807] :
( ~ m1_subset_1(X806,k1_zfmisc_1(X805))
| ~ m1_subset_1(X807,k1_zfmisc_1(X805))
| m1_subset_1(k4_subset_1(X805,X806,X807),k1_zfmisc_1(X805)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_subset_1])]) ).
fof(c_0_26,negated_conjecture,
( m1_subset_1(esk2_0,k1_zfmisc_1(k1_zfmisc_1(esk1_0)))
& m1_subset_1(esk3_0,k1_zfmisc_1(k1_zfmisc_1(esk1_0)))
& ~ r1_tarski(k5_subset_1(esk1_0,k8_setfam_1(esk1_0,esk2_0),k8_setfam_1(esk1_0,esk3_0)),k8_setfam_1(esk1_0,k1_relset_2(esk1_0,esk2_0,esk3_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
cnf(c_0_27,plain,
( k8_setfam_1(X2,X1) = k5_subset_1(X2,k8_setfam_1(X2,X3),k8_setfam_1(X2,X4))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X2)))
| X1 != k4_subset_1(k1_zfmisc_1(X2),X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_28,plain,
( m1_subset_1(k4_subset_1(X2,X1,X3),k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,negated_conjecture,
~ r1_tarski(k5_subset_1(esk1_0,k8_setfam_1(esk1_0,esk2_0),k8_setfam_1(esk1_0,esk3_0)),k8_setfam_1(esk1_0,k1_relset_2(esk1_0,esk2_0,esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,plain,
( k5_subset_1(X1,k8_setfam_1(X1,X2),k8_setfam_1(X1,X3)) = k8_setfam_1(X1,k4_subset_1(k1_zfmisc_1(X1),X2,X3))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_27]),c_0_28]) ).
cnf(c_0_31,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k1_zfmisc_1(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(k1_zfmisc_1(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_33,plain,
! [X814,X815,X816] :
( ~ m1_subset_1(X815,k1_zfmisc_1(X814))
| ~ m1_subset_1(X816,k1_zfmisc_1(X814))
| k4_subset_1(X814,X815,X816) = k2_xboole_0(X815,X816) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_subset_1])]) ).
cnf(c_0_34,negated_conjecture,
~ r1_tarski(k8_setfam_1(esk1_0,k4_subset_1(k1_zfmisc_1(esk1_0),esk2_0,esk3_0)),k8_setfam_1(esk1_0,k1_relset_2(esk1_0,esk2_0,esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32])]) ).
cnf(c_0_35,plain,
( k4_subset_1(X2,X1,X3) = k2_xboole_0(X1,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_36,plain,
! [X133,X134,X135] :
( ~ m1_subset_1(X134,k1_zfmisc_1(k1_zfmisc_1(X133)))
| ~ m1_subset_1(X135,k1_zfmisc_1(k1_zfmisc_1(X133)))
| ~ r1_tarski(X134,X135)
| r1_tarski(k8_setfam_1(X133,X135),k8_setfam_1(X133,X134)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t59_setfam_1])])]) ).
fof(c_0_37,plain,
! [X1618,X1619] : k2_xboole_0(k3_xboole_0(X1618,X1619),k4_xboole_0(X1618,X1619)) = X1618,
inference(variable_rename,[status(thm)],[t51_xboole_1]) ).
fof(c_0_38,plain,
! [X1610,X1611] : k4_xboole_0(X1610,k4_xboole_0(X1610,X1611)) = k3_xboole_0(X1610,X1611),
inference(variable_rename,[status(thm)],[t48_xboole_1]) ).
fof(c_0_39,plain,
! [X64,X65,X66] :
( ~ r1_tarski(X64,X65)
| ~ r1_tarski(X65,X66)
| r1_tarski(X64,X66) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])]) ).
fof(c_0_40,plain,
! [X84,X85] :
( ( ~ m1_subset_1(X84,k1_zfmisc_1(X85))
| r1_tarski(X84,X85) )
& ( ~ r1_tarski(X84,X85)
| m1_subset_1(X84,k1_zfmisc_1(X85)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
cnf(c_0_41,negated_conjecture,
~ r1_tarski(k8_setfam_1(esk1_0,k2_xboole_0(esk2_0,esk3_0)),k8_setfam_1(esk1_0,k1_relset_2(esk1_0,esk2_0,esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_31]),c_0_32])]) ).
cnf(c_0_42,plain,
( r1_tarski(k8_setfam_1(X2,X3),k8_setfam_1(X2,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ r1_tarski(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_43,plain,
! [X1601,X1602,X1603] :
( ~ r1_tarski(k4_xboole_0(X1601,X1602),X1603)
| r1_tarski(X1601,k2_xboole_0(X1602,X1603)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t44_xboole_1])]) ).
fof(c_0_44,plain,
! [X1584,X1585] :
( ( k4_xboole_0(X1584,X1585) != k1_xboole_0
| r1_tarski(X1584,X1585) )
& ( ~ r1_tarski(X1584,X1585)
| k4_xboole_0(X1584,X1585) = k1_xboole_0 ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_xboole_1])]) ).
fof(c_0_45,plain,
! [X2873,X2874,X2875] : r1_tarski(k2_xboole_0(k3_xboole_0(X2873,X2874),k3_xboole_0(X2873,X2875)),k2_xboole_0(X2874,X2875)),
inference(variable_rename,[status(thm)],[t31_xboole_1]) ).
fof(c_0_46,plain,
! [X1620,X1621,X1622] : k4_xboole_0(X1620,k4_xboole_0(X1621,X1622)) = k2_xboole_0(k4_xboole_0(X1620,X1621),k3_xboole_0(X1620,X1622)),
inference(variable_rename,[status(thm)],[t52_xboole_1]) ).
cnf(c_0_47,plain,
k2_xboole_0(k3_xboole_0(X1,X2),k4_xboole_0(X1,X2)) = X1,
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_48,plain,
k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k3_xboole_0(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_49,plain,
! [X1817,X1818] : k2_xboole_0(X1817,X1818) = k2_xboole_0(X1818,X1817),
inference(variable_rename,[status(thm)],[commutativity_k2_xboole_0]) ).
fof(c_0_50,plain,
! [X1588,X1589] : k2_xboole_0(X1588,k4_xboole_0(X1589,X1588)) = k2_xboole_0(X1588,X1589),
inference(variable_rename,[status(thm)],[t39_xboole_1]) ).
cnf(c_0_51,plain,
( r1_tarski(X1,X3)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_52,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_53,negated_conjecture,
( ~ m1_subset_1(k1_relset_2(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0)))
| ~ m1_subset_1(k2_xboole_0(esk2_0,esk3_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0)))
| ~ r1_tarski(k1_relset_2(esk1_0,esk2_0,esk3_0),k2_xboole_0(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_54,plain,
( r1_tarski(X1,k2_xboole_0(X2,X3))
| ~ r1_tarski(k4_xboole_0(X1,X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_55,plain,
( k4_xboole_0(X1,X2) = k1_xboole_0
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_56,plain,
! [X341] : r1_tarski(k1_xboole_0,X341),
inference(variable_rename,[status(thm)],[t2_xboole_1]) ).
cnf(c_0_57,plain,
r1_tarski(k2_xboole_0(k3_xboole_0(X1,X2),k3_xboole_0(X1,X3)),k2_xboole_0(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_58,plain,
k4_xboole_0(X1,k4_xboole_0(X2,X3)) = k2_xboole_0(k4_xboole_0(X1,X2),k3_xboole_0(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_59,plain,
! [X1592,X1593,X1594] : k4_xboole_0(k4_xboole_0(X1592,X1593),X1594) = k4_xboole_0(X1592,k2_xboole_0(X1593,X1594)),
inference(variable_rename,[status(thm)],[t41_xboole_1]) ).
cnf(c_0_60,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_47,c_0_48]) ).
cnf(c_0_61,plain,
k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_62,plain,
k2_xboole_0(X1,k4_xboole_0(X2,X1)) = k2_xboole_0(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_63,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X3) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_64,negated_conjecture,
( ~ m1_subset_1(k1_relset_2(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0)))
| ~ m1_subset_1(k2_xboole_0(esk2_0,esk3_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0)))
| ~ r1_tarski(k4_xboole_0(k1_relset_2(esk1_0,esk2_0,esk3_0),esk2_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_65,plain,
( k4_xboole_0(X1,X2) = k1_xboole_0
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[c_0_55,c_0_52]) ).
cnf(c_0_66,plain,
r1_tarski(k1_xboole_0,X1),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
fof(c_0_67,plain,
! [X220,X221,X222] :
( ~ m1_subset_1(X221,k1_zfmisc_1(k1_zfmisc_1(X220)))
| ~ m1_subset_1(X222,k1_zfmisc_1(k1_zfmisc_1(X220)))
| m1_subset_1(k1_relset_2(X220,X221,X222),k1_zfmisc_1(k1_zfmisc_1(X220))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_relset_2])]) ).
fof(c_0_68,plain,
! [X229,X230,X231] :
( ~ m1_subset_1(X230,k1_zfmisc_1(k1_zfmisc_1(X229)))
| ~ m1_subset_1(X231,k1_zfmisc_1(k1_zfmisc_1(X229)))
| k1_relset_2(X229,X230,X231) = k3_xboole_0(X230,X231) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_relset_2])]) ).
fof(c_0_69,plain,
! [X1582,X1583] : r1_tarski(k4_xboole_0(X1582,X1583),X1582),
inference(variable_rename,[status(thm)],[t36_xboole_1]) ).
cnf(c_0_70,plain,
r1_tarski(k2_xboole_0(k4_xboole_0(X1,k4_xboole_0(X1,X2)),k4_xboole_0(X1,k4_xboole_0(X1,X3))),k2_xboole_0(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_48]),c_0_48]) ).
cnf(c_0_71,plain,
k4_xboole_0(X1,k4_xboole_0(X2,X3)) = k2_xboole_0(k4_xboole_0(X1,X2),k4_xboole_0(X1,k4_xboole_0(X1,X3))),
inference(rw,[status(thm)],[c_0_58,c_0_48]) ).
cnf(c_0_72,plain,
k4_xboole_0(k4_xboole_0(X1,X2),X3) = k4_xboole_0(X1,k2_xboole_0(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_73,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_60,c_0_61]),c_0_62]),c_0_61]) ).
cnf(c_0_74,negated_conjecture,
( r1_tarski(X1,k1_zfmisc_1(esk1_0))
| ~ r1_tarski(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_63,c_0_31]) ).
fof(c_0_75,plain,
! [X61] : r1_tarski(X61,X61),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(c_0_76,negated_conjecture,
( r1_tarski(X1,k1_zfmisc_1(esk1_0))
| ~ r1_tarski(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_63,c_0_32]) ).
cnf(c_0_77,negated_conjecture,
( ~ m1_subset_1(k1_relset_2(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0)))
| ~ m1_subset_1(k2_xboole_0(esk2_0,esk3_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0)))
| ~ m1_subset_1(k1_relset_2(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66])]) ).
cnf(c_0_78,plain,
( m1_subset_1(k1_relset_2(X2,X1,X3),k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_79,plain,
( k1_relset_2(X2,X1,X3) = k3_xboole_0(X1,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_80,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_81,plain,
r1_tarski(k4_xboole_0(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
fof(c_0_82,plain,
! [X1831,X1832,X1833] :
( ~ r1_tarski(X1831,X1832)
| ~ r1_tarski(X1833,X1832)
| r1_tarski(k2_xboole_0(X1831,X1833),X1832) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_xboole_1])]) ).
cnf(c_0_83,plain,
r1_tarski(k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X2),X3)),k2_xboole_0(X2,X3)),
inference(rw,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_84,plain,
k4_xboole_0(k4_xboole_0(X1,X2),k4_xboole_0(X2,X3)) = k4_xboole_0(X1,X2),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_85,negated_conjecture,
( k4_xboole_0(X1,k1_zfmisc_1(esk1_0)) = k1_xboole_0
| ~ r1_tarski(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_74]) ).
cnf(c_0_86,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
fof(c_0_87,plain,
! [X1568] : k4_xboole_0(X1568,k1_xboole_0) = X1568,
inference(variable_rename,[status(thm)],[t3_boole]) ).
cnf(c_0_88,negated_conjecture,
( k4_xboole_0(X1,k1_zfmisc_1(esk1_0)) = k1_xboole_0
| ~ r1_tarski(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_76]) ).
cnf(c_0_89,negated_conjecture,
( ~ m1_subset_1(k2_xboole_0(esk2_0,esk3_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0)))
| ~ m1_subset_1(k1_relset_2(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_31]),c_0_32])]) ).
cnf(c_0_90,plain,
( k1_relset_2(X2,X1,X3) = k4_xboole_0(X1,k4_xboole_0(X1,X3))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(rw,[status(thm)],[c_0_79,c_0_48]) ).
cnf(c_0_91,plain,
m1_subset_1(k4_xboole_0(X1,X2),k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_92,plain,
( r1_tarski(k2_xboole_0(X1,X3),X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_93,plain,
r1_tarski(k4_xboole_0(X1,k4_xboole_0(X1,X2)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_73]),c_0_84]) ).
cnf(c_0_94,negated_conjecture,
k4_xboole_0(esk3_0,k1_zfmisc_1(esk1_0)) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_95,plain,
k4_xboole_0(X1,k1_xboole_0) = X1,
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_96,negated_conjecture,
k4_xboole_0(esk2_0,k1_zfmisc_1(esk1_0)) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_88,c_0_86]) ).
cnf(c_0_97,negated_conjecture,
~ m1_subset_1(k2_xboole_0(esk2_0,esk3_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]),c_0_31]),c_0_32])]) ).
cnf(c_0_98,plain,
( m1_subset_1(k2_xboole_0(X1,X2),k1_zfmisc_1(X3))
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3) ),
inference(spm,[status(thm)],[c_0_80,c_0_92]) ).
cnf(c_0_99,negated_conjecture,
r1_tarski(esk3_0,k1_zfmisc_1(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]) ).
cnf(c_0_100,negated_conjecture,
r1_tarski(esk2_0,k1_zfmisc_1(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_96]),c_0_95]) ).
cnf(c_0_101,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]),c_0_100])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU417+4 : TPTP v8.1.0. Released v3.4.0.
% 0.08/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 23:27:32 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.46 # ENIGMATIC: Selected SinE mode:
% 3.11/3.29 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.11/3.29 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 3.11/3.29 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 3.11/3.29 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 203.87/31.93 # ENIGMATIC: Solved by autoschedule:
% 203.87/31.93 # SinE strategy is gf120_h_gu_RUU_F100_L01000
% 203.87/31.93 # Trying AutoSched0 for 146 seconds
% 203.87/31.93 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 203.87/31.93 # and selection function SelectComplexExceptUniqMaxHorn.
% 203.87/31.93 #
% 203.87/31.93 # Preprocessing time : 0.482 s
% 203.87/31.93 # Presaturation interreduction done
% 203.87/31.93
% 203.87/31.93 # Proof found!
% 203.87/31.93 # SZS status Theorem
% 203.87/31.93 # SZS output start CNFRefutation
% See solution above
% 203.87/31.93 # Training examples: 0 positive, 0 negative
% 203.87/31.93
% 203.87/31.93 # -------------------------------------------------
% 203.87/31.93 # User time : 22.830 s
% 203.87/31.93 # System time : 0.695 s
% 203.87/31.93 # Total time : 23.525 s
% 203.87/31.93 # Maximum resident set size: 170036 pages
% 203.87/31.93
%------------------------------------------------------------------------------