TSTP Solution File: SEU417+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU417+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 08:51:33 EST 2010
% Result : Theorem 0.52s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 9
% Syntax : Number of formulae : 69 ( 12 unt; 0 def)
% Number of atoms : 195 ( 24 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 236 ( 110 ~; 99 |; 11 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 128 ( 2 sgn 85 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,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('/tmp/tmp1Wf_nx/sel_SEU417+1.p_1',redefinition_k1_relset_2) ).
fof(4,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('/tmp/tmp1Wf_nx/sel_SEU417+1.p_1',redefinition_k5_subset_1) ).
fof(10,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('/tmp/tmp1Wf_nx/sel_SEU417+1.p_1',t8_mssubfam) ).
fof(11,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> m1_subset_1(k5_subset_1(X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/tmp/tmp1Wf_nx/sel_SEU417+1.p_1',dt_k5_subset_1) ).
fof(25,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('/tmp/tmp1Wf_nx/sel_SEU417+1.p_1',t59_setfam_1) ).
fof(28,axiom,
! [X1,X2,X3] : r1_tarski(k3_xboole_0(X1,X2),k2_xboole_0(X1,X3)),
file('/tmp/tmp1Wf_nx/sel_SEU417+1.p_1',t29_xboole_1) ).
fof(34,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('/tmp/tmp1Wf_nx/sel_SEU417+1.p_1',t7_relset_2) ).
fof(38,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('/tmp/tmp1Wf_nx/sel_SEU417+1.p_1',dt_k4_subset_1) ).
fof(47,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('/tmp/tmp1Wf_nx/sel_SEU417+1.p_1',redefinition_k4_subset_1) ).
fof(51,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)],[34]) ).
fof(56,plain,
! [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) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(57,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(X4)))
| ~ m1_subset_1(X6,k1_zfmisc_1(k1_zfmisc_1(X4)))
| k1_relset_2(X4,X5,X6) = k3_xboole_0(X5,X6) ),
inference(variable_rename,[status(thm)],[56]) ).
cnf(58,plain,
( k1_relset_2(X1,X2,X3) = k3_xboole_0(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(split_conjunct,[status(thm)],[57]) ).
fof(64,plain,
! [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) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(65,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)],[64]) ).
cnf(66,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)],[65]) ).
fof(84,plain,
! [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)) ) ) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(85,plain,
! [X5,X6] :
( ~ m1_subset_1(X6,k1_zfmisc_1(k1_zfmisc_1(X5)))
| ! [X7] :
( ~ m1_subset_1(X7,k1_zfmisc_1(k1_zfmisc_1(X5)))
| ! [X8] :
( ~ m1_subset_1(X8,k1_zfmisc_1(k1_zfmisc_1(X5)))
| X6 != k4_subset_1(k1_zfmisc_1(X5),X7,X8)
| k8_setfam_1(X5,X6) = k5_subset_1(X5,k8_setfam_1(X5,X7),k8_setfam_1(X5,X8)) ) ) ),
inference(variable_rename,[status(thm)],[84]) ).
fof(86,plain,
! [X5,X6,X7,X8] :
( ~ m1_subset_1(X8,k1_zfmisc_1(k1_zfmisc_1(X5)))
| X6 != k4_subset_1(k1_zfmisc_1(X5),X7,X8)
| k8_setfam_1(X5,X6) = k5_subset_1(X5,k8_setfam_1(X5,X7),k8_setfam_1(X5,X8))
| ~ m1_subset_1(X7,k1_zfmisc_1(k1_zfmisc_1(X5)))
| ~ m1_subset_1(X6,k1_zfmisc_1(k1_zfmisc_1(X5))) ),
inference(shift_quantors,[status(thm)],[85]) ).
cnf(87,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)))
| X1 != k4_subset_1(k1_zfmisc_1(X2),X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(split_conjunct,[status(thm)],[86]) ).
fof(88,plain,
! [X1,X2,X3] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| m1_subset_1(k5_subset_1(X1,X2,X3),k1_zfmisc_1(X1)) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(89,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4))
| m1_subset_1(k5_subset_1(X4,X5,X6),k1_zfmisc_1(X4)) ),
inference(variable_rename,[status(thm)],[88]) ).
cnf(90,plain,
( m1_subset_1(k5_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)],[89]) ).
fof(127,plain,
! [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)) ) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(128,plain,
! [X4,X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(X4)))
| ! [X6] :
( ~ m1_subset_1(X6,k1_zfmisc_1(k1_zfmisc_1(X4)))
| ~ r1_tarski(X5,X6)
| r1_tarski(k8_setfam_1(X4,X6),k8_setfam_1(X4,X5)) ) ),
inference(variable_rename,[status(thm)],[127]) ).
fof(129,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X6,k1_zfmisc_1(k1_zfmisc_1(X4)))
| ~ r1_tarski(X5,X6)
| r1_tarski(k8_setfam_1(X4,X6),k8_setfam_1(X4,X5))
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(X4))) ),
inference(shift_quantors,[status(thm)],[128]) ).
cnf(130,plain,
( r1_tarski(k8_setfam_1(X2,X3),k8_setfam_1(X2,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ r1_tarski(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(split_conjunct,[status(thm)],[129]) ).
fof(137,plain,
! [X4,X5,X6] : r1_tarski(k3_xboole_0(X4,X5),k2_xboole_0(X4,X6)),
inference(variable_rename,[status(thm)],[28]) ).
cnf(138,plain,
r1_tarski(k3_xboole_0(X1,X2),k2_xboole_0(X1,X3)),
inference(split_conjunct,[status(thm)],[137]) ).
fof(154,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(fof_nnf,[status(thm)],[51]) ).
fof(155,negated_conjecture,
? [X4,X5] :
( m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(X4)))
& ? [X6] :
( m1_subset_1(X6,k1_zfmisc_1(k1_zfmisc_1(X4)))
& ~ r1_tarski(k5_subset_1(X4,k8_setfam_1(X4,X5),k8_setfam_1(X4,X6)),k8_setfam_1(X4,k1_relset_2(X4,X5,X6))) ) ),
inference(variable_rename,[status(thm)],[154]) ).
fof(156,negated_conjecture,
( m1_subset_1(esk6_0,k1_zfmisc_1(k1_zfmisc_1(esk5_0)))
& m1_subset_1(esk7_0,k1_zfmisc_1(k1_zfmisc_1(esk5_0)))
& ~ r1_tarski(k5_subset_1(esk5_0,k8_setfam_1(esk5_0,esk6_0),k8_setfam_1(esk5_0,esk7_0)),k8_setfam_1(esk5_0,k1_relset_2(esk5_0,esk6_0,esk7_0))) ),
inference(skolemize,[status(esa)],[155]) ).
cnf(157,negated_conjecture,
~ r1_tarski(k5_subset_1(esk5_0,k8_setfam_1(esk5_0,esk6_0),k8_setfam_1(esk5_0,esk7_0)),k8_setfam_1(esk5_0,k1_relset_2(esk5_0,esk6_0,esk7_0))),
inference(split_conjunct,[status(thm)],[156]) ).
cnf(158,negated_conjecture,
m1_subset_1(esk7_0,k1_zfmisc_1(k1_zfmisc_1(esk5_0))),
inference(split_conjunct,[status(thm)],[156]) ).
cnf(159,negated_conjecture,
m1_subset_1(esk6_0,k1_zfmisc_1(k1_zfmisc_1(esk5_0))),
inference(split_conjunct,[status(thm)],[156]) ).
fof(167,plain,
! [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)) ),
inference(fof_nnf,[status(thm)],[38]) ).
fof(168,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)],[167]) ).
cnf(169,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)],[168]) ).
fof(188,plain,
! [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) ),
inference(fof_nnf,[status(thm)],[47]) ).
fof(189,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)],[188]) ).
cnf(190,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)],[189]) ).
cnf(288,plain,
( m1_subset_1(k3_xboole_0(X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(spm,[status(thm)],[90,66,theory(equality)]) ).
cnf(301,plain,
( m1_subset_1(k2_xboole_0(X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(spm,[status(thm)],[169,190,theory(equality)]) ).
cnf(302,negated_conjecture,
( ~ r1_tarski(k5_subset_1(esk5_0,k8_setfam_1(esk5_0,esk6_0),k8_setfam_1(esk5_0,esk7_0)),k8_setfam_1(esk5_0,k3_xboole_0(esk6_0,esk7_0)))
| ~ m1_subset_1(esk7_0,k1_zfmisc_1(k1_zfmisc_1(esk5_0)))
| ~ m1_subset_1(esk6_0,k1_zfmisc_1(k1_zfmisc_1(esk5_0))) ),
inference(spm,[status(thm)],[157,58,theory(equality)]) ).
cnf(306,negated_conjecture,
( ~ r1_tarski(k5_subset_1(esk5_0,k8_setfam_1(esk5_0,esk6_0),k8_setfam_1(esk5_0,esk7_0)),k8_setfam_1(esk5_0,k3_xboole_0(esk6_0,esk7_0)))
| $false
| ~ m1_subset_1(esk6_0,k1_zfmisc_1(k1_zfmisc_1(esk5_0))) ),
inference(rw,[status(thm)],[302,158,theory(equality)]) ).
cnf(307,negated_conjecture,
( ~ r1_tarski(k5_subset_1(esk5_0,k8_setfam_1(esk5_0,esk6_0),k8_setfam_1(esk5_0,esk7_0)),k8_setfam_1(esk5_0,k3_xboole_0(esk6_0,esk7_0)))
| $false
| $false ),
inference(rw,[status(thm)],[306,159,theory(equality)]) ).
cnf(308,negated_conjecture,
~ r1_tarski(k5_subset_1(esk5_0,k8_setfam_1(esk5_0,esk6_0),k8_setfam_1(esk5_0,esk7_0)),k8_setfam_1(esk5_0,k3_xboole_0(esk6_0,esk7_0))),
inference(cn,[status(thm)],[307,theory(equality)]) ).
cnf(313,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)))
| ~ m1_subset_1(k4_subset_1(k1_zfmisc_1(X1),X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(er,[status(thm)],[87,theory(equality)]) ).
cnf(1274,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)],[313,169]) ).
cnf(1277,negated_conjecture,
( ~ r1_tarski(k8_setfam_1(esk5_0,k4_subset_1(k1_zfmisc_1(esk5_0),esk6_0,esk7_0)),k8_setfam_1(esk5_0,k3_xboole_0(esk6_0,esk7_0)))
| ~ m1_subset_1(esk7_0,k1_zfmisc_1(k1_zfmisc_1(esk5_0)))
| ~ m1_subset_1(esk6_0,k1_zfmisc_1(k1_zfmisc_1(esk5_0))) ),
inference(spm,[status(thm)],[308,1274,theory(equality)]) ).
cnf(1292,negated_conjecture,
( ~ r1_tarski(k8_setfam_1(esk5_0,k4_subset_1(k1_zfmisc_1(esk5_0),esk6_0,esk7_0)),k8_setfam_1(esk5_0,k3_xboole_0(esk6_0,esk7_0)))
| $false
| ~ m1_subset_1(esk6_0,k1_zfmisc_1(k1_zfmisc_1(esk5_0))) ),
inference(rw,[status(thm)],[1277,158,theory(equality)]) ).
cnf(1293,negated_conjecture,
( ~ r1_tarski(k8_setfam_1(esk5_0,k4_subset_1(k1_zfmisc_1(esk5_0),esk6_0,esk7_0)),k8_setfam_1(esk5_0,k3_xboole_0(esk6_0,esk7_0)))
| $false
| $false ),
inference(rw,[status(thm)],[1292,159,theory(equality)]) ).
cnf(1294,negated_conjecture,
~ r1_tarski(k8_setfam_1(esk5_0,k4_subset_1(k1_zfmisc_1(esk5_0),esk6_0,esk7_0)),k8_setfam_1(esk5_0,k3_xboole_0(esk6_0,esk7_0))),
inference(cn,[status(thm)],[1293,theory(equality)]) ).
cnf(4775,negated_conjecture,
( ~ r1_tarski(k8_setfam_1(esk5_0,k2_xboole_0(esk6_0,esk7_0)),k8_setfam_1(esk5_0,k3_xboole_0(esk6_0,esk7_0)))
| ~ m1_subset_1(esk7_0,k1_zfmisc_1(k1_zfmisc_1(esk5_0)))
| ~ m1_subset_1(esk6_0,k1_zfmisc_1(k1_zfmisc_1(esk5_0))) ),
inference(spm,[status(thm)],[1294,190,theory(equality)]) ).
cnf(4788,negated_conjecture,
( ~ r1_tarski(k8_setfam_1(esk5_0,k2_xboole_0(esk6_0,esk7_0)),k8_setfam_1(esk5_0,k3_xboole_0(esk6_0,esk7_0)))
| $false
| ~ m1_subset_1(esk6_0,k1_zfmisc_1(k1_zfmisc_1(esk5_0))) ),
inference(rw,[status(thm)],[4775,158,theory(equality)]) ).
cnf(4789,negated_conjecture,
( ~ r1_tarski(k8_setfam_1(esk5_0,k2_xboole_0(esk6_0,esk7_0)),k8_setfam_1(esk5_0,k3_xboole_0(esk6_0,esk7_0)))
| $false
| $false ),
inference(rw,[status(thm)],[4788,159,theory(equality)]) ).
cnf(4790,negated_conjecture,
~ r1_tarski(k8_setfam_1(esk5_0,k2_xboole_0(esk6_0,esk7_0)),k8_setfam_1(esk5_0,k3_xboole_0(esk6_0,esk7_0))),
inference(cn,[status(thm)],[4789,theory(equality)]) ).
cnf(5290,negated_conjecture,
( ~ r1_tarski(k3_xboole_0(esk6_0,esk7_0),k2_xboole_0(esk6_0,esk7_0))
| ~ m1_subset_1(k2_xboole_0(esk6_0,esk7_0),k1_zfmisc_1(k1_zfmisc_1(esk5_0)))
| ~ m1_subset_1(k3_xboole_0(esk6_0,esk7_0),k1_zfmisc_1(k1_zfmisc_1(esk5_0))) ),
inference(spm,[status(thm)],[4790,130,theory(equality)]) ).
cnf(5302,negated_conjecture,
( $false
| ~ m1_subset_1(k2_xboole_0(esk6_0,esk7_0),k1_zfmisc_1(k1_zfmisc_1(esk5_0)))
| ~ m1_subset_1(k3_xboole_0(esk6_0,esk7_0),k1_zfmisc_1(k1_zfmisc_1(esk5_0))) ),
inference(rw,[status(thm)],[5290,138,theory(equality)]) ).
cnf(5303,negated_conjecture,
( ~ m1_subset_1(k2_xboole_0(esk6_0,esk7_0),k1_zfmisc_1(k1_zfmisc_1(esk5_0)))
| ~ m1_subset_1(k3_xboole_0(esk6_0,esk7_0),k1_zfmisc_1(k1_zfmisc_1(esk5_0))) ),
inference(cn,[status(thm)],[5302,theory(equality)]) ).
cnf(5306,negated_conjecture,
( ~ m1_subset_1(k3_xboole_0(esk6_0,esk7_0),k1_zfmisc_1(k1_zfmisc_1(esk5_0)))
| ~ m1_subset_1(esk7_0,k1_zfmisc_1(k1_zfmisc_1(esk5_0)))
| ~ m1_subset_1(esk6_0,k1_zfmisc_1(k1_zfmisc_1(esk5_0))) ),
inference(spm,[status(thm)],[5303,301,theory(equality)]) ).
cnf(5308,negated_conjecture,
( ~ m1_subset_1(k3_xboole_0(esk6_0,esk7_0),k1_zfmisc_1(k1_zfmisc_1(esk5_0)))
| $false
| ~ m1_subset_1(esk6_0,k1_zfmisc_1(k1_zfmisc_1(esk5_0))) ),
inference(rw,[status(thm)],[5306,158,theory(equality)]) ).
cnf(5309,negated_conjecture,
( ~ m1_subset_1(k3_xboole_0(esk6_0,esk7_0),k1_zfmisc_1(k1_zfmisc_1(esk5_0)))
| $false
| $false ),
inference(rw,[status(thm)],[5308,159,theory(equality)]) ).
cnf(5310,negated_conjecture,
~ m1_subset_1(k3_xboole_0(esk6_0,esk7_0),k1_zfmisc_1(k1_zfmisc_1(esk5_0))),
inference(cn,[status(thm)],[5309,theory(equality)]) ).
cnf(5311,negated_conjecture,
( ~ m1_subset_1(esk7_0,k1_zfmisc_1(k1_zfmisc_1(esk5_0)))
| ~ m1_subset_1(esk6_0,k1_zfmisc_1(k1_zfmisc_1(esk5_0))) ),
inference(spm,[status(thm)],[5310,288,theory(equality)]) ).
cnf(5323,negated_conjecture,
( $false
| ~ m1_subset_1(esk6_0,k1_zfmisc_1(k1_zfmisc_1(esk5_0))) ),
inference(rw,[status(thm)],[5311,158,theory(equality)]) ).
cnf(5324,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[5323,159,theory(equality)]) ).
cnf(5325,negated_conjecture,
$false,
inference(cn,[status(thm)],[5324,theory(equality)]) ).
cnf(5326,negated_conjecture,
$false,
5325,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU417+1.p
% --creating new selector for []
% -running prover on /tmp/tmp1Wf_nx/sel_SEU417+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU417+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU417+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU417+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------