TSTP Solution File: SEU432+4 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SEU432+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:26:31 EDT 2023
% Result : Theorem 191.20s 63.86s
% Output : CNFRefutation 191.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 22
% Syntax : Number of formulae : 96 ( 43 unt; 0 def)
% Number of atoms : 219 ( 24 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 217 ( 94 ~; 77 |; 17 &)
% ( 6 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-4 aty)
% Number of variables : 169 ( 9 sgn; 110 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d2_subset_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) )
& ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.XwfM8nXGSj/E---3.1_11767.p',d2_subset_1) ).
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/sandbox/tmp/tmp.XwfM8nXGSj/E---3.1_11767.p',t33_relset_2) ).
fof(fc1_subset_1,axiom,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
file('/export/starexec/sandbox/tmp/tmp.XwfM8nXGSj/E---3.1_11767.p',fc1_subset_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/tmp/tmp.XwfM8nXGSj/E---3.1_11767.p',t1_xboole_1) ).
fof(t92_zfmisc_1,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> r1_tarski(X1,k3_tarski(X2)) ),
file('/export/starexec/sandbox/tmp/tmp.XwfM8nXGSj/E---3.1_11767.p',t92_zfmisc_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/tmp/tmp.XwfM8nXGSj/E---3.1_11767.p',redefinition_k4_subset_1) ).
fof(t69_xboole_1,axiom,
! [X1,X2] :
( ~ v1_xboole_0(X2)
=> ~ ( r1_tarski(X2,X1)
& r1_xboole_0(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.XwfM8nXGSj/E---3.1_11767.p',t69_xboole_1) ).
fof(t99_zfmisc_1,axiom,
! [X1] : k3_tarski(k1_zfmisc_1(X1)) = X1,
file('/export/starexec/sandbox/tmp/tmp.XwfM8nXGSj/E---3.1_11767.p',t99_zfmisc_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/sandbox/tmp/tmp.XwfM8nXGSj/E---3.1_11767.p',t8_xboole_1) ).
fof(t79_xboole_1,axiom,
! [X1,X2] : r1_xboole_0(k4_xboole_0(X1,X2),X2),
file('/export/starexec/sandbox/tmp/tmp.XwfM8nXGSj/E---3.1_11767.p',t79_xboole_1) ).
fof(t36_xboole_1,axiom,
! [X1,X2] : r1_tarski(k4_xboole_0(X1,X2),X1),
file('/export/starexec/sandbox/tmp/tmp.XwfM8nXGSj/E---3.1_11767.p',t36_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/sandbox/tmp/tmp.XwfM8nXGSj/E---3.1_11767.p',t32_relset_2) ).
fof(t17_xboole_1,axiom,
! [X1,X2] : r1_tarski(k3_xboole_0(X1,X2),X1),
file('/export/starexec/sandbox/tmp/tmp.XwfM8nXGSj/E---3.1_11767.p',t17_xboole_1) ).
fof(d5_xboole_0,axiom,
! [X1] :
( v1_xboole_0(X1)
<=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox/tmp/tmp.XwfM8nXGSj/E---3.1_11767.p',d5_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/sandbox/tmp/tmp.XwfM8nXGSj/E---3.1_11767.p',dt_k8_relset_2) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.XwfM8nXGSj/E---3.1_11767.p',commutativity_k3_xboole_0) ).
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/tmp/tmp.XwfM8nXGSj/E---3.1_11767.p',t48_xboole_1) ).
fof(t3_boole,axiom,
! [X1] : k4_xboole_0(X1,k1_xboole_0) = X1,
file('/export/starexec/sandbox/tmp/tmp.XwfM8nXGSj/E---3.1_11767.p',t3_boole) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.XwfM8nXGSj/E---3.1_11767.p',t3_subset) ).
fof(t26_xboole_1,axiom,
! [X1,X2,X3] :
( r1_tarski(X1,X2)
=> r1_tarski(k3_xboole_0(X1,X3),k3_xboole_0(X2,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.XwfM8nXGSj/E---3.1_11767.p',t26_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/sandbox/tmp/tmp.XwfM8nXGSj/E---3.1_11767.p',redefinition_k5_subset_1) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox/tmp/tmp.XwfM8nXGSj/E---3.1_11767.p',reflexivity_r1_tarski) ).
fof(c_0_22,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) )
& ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[d2_subset_1]) ).
fof(c_0_23,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_24,plain,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
fof(c_0_25,plain,
! [X66,X67,X68] :
( ~ r1_tarski(X66,X67)
| ~ r1_tarski(X67,X68)
| r1_tarski(X66,X68) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])]) ).
fof(c_0_26,plain,
! [X4968,X4969] :
( ~ r2_hidden(X4968,X4969)
| r1_tarski(X4968,k3_tarski(X4969)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t92_zfmisc_1])]) ).
fof(c_0_27,plain,
! [X381,X382] :
( ( ~ m1_subset_1(X382,X381)
| r2_hidden(X382,X381)
| v1_xboole_0(X381) )
& ( ~ r2_hidden(X382,X381)
| m1_subset_1(X382,X381)
| v1_xboole_0(X381) )
& ( ~ m1_subset_1(X382,X381)
| v1_xboole_0(X382)
| ~ v1_xboole_0(X381) )
& ( ~ v1_xboole_0(X382)
| m1_subset_1(X382,X381)
| ~ v1_xboole_0(X381) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
fof(c_0_28,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
fof(c_0_29,plain,
! [X264] : ~ v1_xboole_0(k1_zfmisc_1(X264)),
inference(variable_rename,[status(thm)],[c_0_24]) ).
fof(c_0_30,plain,
! [X241,X242,X243] :
( ~ m1_subset_1(X242,k1_zfmisc_1(X241))
| ~ m1_subset_1(X243,k1_zfmisc_1(X241))
| k4_subset_1(X241,X242,X243) = k2_xboole_0(X242,X243) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_subset_1])]) ).
fof(c_0_31,plain,
! [X1,X2] :
( ~ v1_xboole_0(X2)
=> ~ ( r1_tarski(X2,X1)
& r1_xboole_0(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[t69_xboole_1]) ).
cnf(c_0_32,plain,
( r1_tarski(X1,X3)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,plain,
( r1_tarski(X1,k3_tarski(X2))
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_34,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_37,plain,
! [X4979] : k3_tarski(k1_zfmisc_1(X4979)) = X4979,
inference(variable_rename,[status(thm)],[t99_zfmisc_1]) ).
cnf(c_0_38,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_28]) ).
cnf(c_0_39,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_30]) ).
fof(c_0_40,plain,
! [X2107,X2108,X2109] :
( ~ r1_tarski(X2107,X2108)
| ~ r1_tarski(X2109,X2108)
| r1_tarski(k2_xboole_0(X2107,X2109),X2108) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_xboole_1])]) ).
fof(c_0_41,plain,
! [X1737,X1738] :
( v1_xboole_0(X1738)
| ~ r1_tarski(X1738,X1737)
| ~ r1_xboole_0(X1738,X1737) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).
fof(c_0_42,plain,
! [X3128,X3129] : r1_xboole_0(k4_xboole_0(X3128,X3129),X3129),
inference(variable_rename,[status(thm)],[t79_xboole_1]) ).
cnf(c_0_43,plain,
( r1_tarski(X1,k3_tarski(X2))
| ~ r1_tarski(X1,X3)
| ~ r2_hidden(X3,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_44,negated_conjecture,
r2_hidden(esk4_0,k1_zfmisc_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_45,plain,
k3_tarski(k1_zfmisc_1(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_46,plain,
! [X3102,X3103] : r1_tarski(k4_xboole_0(X3102,X3103),X3102),
inference(variable_rename,[status(thm)],[t36_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))
| ~ 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_38,c_0_39]) ).
cnf(c_0_48,plain,
( r1_tarski(k2_xboole_0(X1,X3),X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_49,plain,
! [X165,X166,X167,X168,X169] :
( ~ m1_subset_1(X167,k1_zfmisc_1(X165))
| ~ m1_subset_1(X168,k1_zfmisc_1(X165))
| ~ m1_subset_1(X169,k1_zfmisc_1(k2_zfmisc_1(X165,X166)))
| ~ r1_tarski(X167,X168)
| r1_tarski(k8_relset_2(X165,X166,X168,X169),k8_relset_2(X165,X166,X167,X169)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t32_relset_2])])]) ).
cnf(c_0_50,plain,
( v1_xboole_0(X1)
| ~ r1_tarski(X1,X2)
| ~ r1_xboole_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_51,plain,
r1_xboole_0(k4_xboole_0(X1,X2),X2),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,negated_conjecture,
( r1_tarski(X1,esk1_0)
| ~ r1_tarski(X1,esk4_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_53,plain,
r1_tarski(k4_xboole_0(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_54,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_47,c_0_48]) ).
cnf(c_0_55,plain,
( r1_tarski(k8_relset_2(X2,X5,X3,X4),k8_relset_2(X2,X5,X1,X4))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X5)))
| ~ r1_tarski(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_56,negated_conjecture,
m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_57,plain,
! [X892,X893] : r1_tarski(k3_xboole_0(X892,X893),X892),
inference(variable_rename,[status(thm)],[t17_xboole_1]) ).
fof(c_0_58,plain,
! [X797] :
( ( ~ v1_xboole_0(X797)
| X797 = k1_xboole_0 )
& ( X797 != k1_xboole_0
| v1_xboole_0(X797) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_xboole_0])]) ).
cnf(c_0_59,plain,
( v1_xboole_0(k4_xboole_0(X1,X2))
| ~ r1_tarski(k4_xboole_0(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_60,negated_conjecture,
r1_tarski(k4_xboole_0(esk4_0,X1),esk1_0),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_61,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_54,c_0_55]),c_0_56]),c_0_35])]) ).
cnf(c_0_62,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_63,plain,
! [X139,X140,X141,X142] :
( ~ m1_subset_1(X141,k1_zfmisc_1(X139))
| ~ m1_subset_1(X142,k1_zfmisc_1(k2_zfmisc_1(X139,X140)))
| m1_subset_1(k8_relset_2(X139,X140,X141,X142),k1_zfmisc_1(X140)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relset_2])]) ).
cnf(c_0_64,plain,
r1_tarski(k3_xboole_0(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
fof(c_0_65,plain,
! [X885,X886] : k3_xboole_0(X885,X886) = k3_xboole_0(X886,X885),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
fof(c_0_66,plain,
! [X937,X938] : k4_xboole_0(X937,k4_xboole_0(X937,X938)) = k3_xboole_0(X937,X938),
inference(variable_rename,[status(thm)],[t48_xboole_1]) ).
cnf(c_0_67,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_68,negated_conjecture,
v1_xboole_0(k4_xboole_0(esk4_0,esk1_0)),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
fof(c_0_69,plain,
! [X3088] : k4_xboole_0(X3088,k1_xboole_0) = X3088,
inference(variable_rename,[status(thm)],[t3_boole]) ).
cnf(c_0_70,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_61,c_0_55]),c_0_56]),c_0_62])]) ).
cnf(c_0_71,plain,
( m1_subset_1(k8_relset_2(X2,X4,X1,X3),k1_zfmisc_1(X4))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
fof(c_0_72,plain,
! [X97,X98] :
( ( ~ m1_subset_1(X97,k1_zfmisc_1(X98))
| r1_tarski(X97,X98) )
& ( ~ r1_tarski(X97,X98)
| m1_subset_1(X97,k1_zfmisc_1(X98)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
cnf(c_0_73,negated_conjecture,
r1_tarski(k3_xboole_0(esk4_0,X1),esk1_0),
inference(spm,[status(thm)],[c_0_52,c_0_64]) ).
cnf(c_0_74,plain,
k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
fof(c_0_75,plain,
! [X917,X918,X919] :
( ~ r1_tarski(X917,X918)
| r1_tarski(k3_xboole_0(X917,X919),k3_xboole_0(X918,X919)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t26_xboole_1])]) ).
cnf(c_0_76,plain,
k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k3_xboole_0(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_77,negated_conjecture,
k4_xboole_0(esk4_0,esk1_0) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_78,plain,
k4_xboole_0(X1,k1_xboole_0) = X1,
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_79,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_70,c_0_71]),c_0_56]),c_0_35])]) ).
fof(c_0_80,plain,
! [X184,X185,X186] :
( ~ m1_subset_1(X185,k1_zfmisc_1(X184))
| ~ m1_subset_1(X186,k1_zfmisc_1(X184))
| k5_subset_1(X184,X185,X186) = k3_xboole_0(X185,X186) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_subset_1])]) ).
cnf(c_0_81,negated_conjecture,
r2_hidden(esk3_0,k1_zfmisc_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_62]),c_0_36]) ).
fof(c_0_82,plain,
! [X63] : r1_tarski(X63,X63),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(c_0_83,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_84,negated_conjecture,
r1_tarski(k3_xboole_0(X1,esk4_0),esk1_0),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_85,plain,
( r1_tarski(k3_xboole_0(X1,X3),k3_xboole_0(X2,X3))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_86,negated_conjecture,
k3_xboole_0(esk1_0,esk4_0) = esk4_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]),c_0_74]) ).
cnf(c_0_87,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_79,c_0_71]),c_0_56]),c_0_62])]) ).
cnf(c_0_88,plain,
( k5_subset_1(X2,X1,X3) = k3_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_80]) ).
cnf(c_0_89,negated_conjecture,
( r1_tarski(X1,esk1_0)
| ~ r1_tarski(X1,esk3_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_81]),c_0_45]) ).
cnf(c_0_90,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_91,negated_conjecture,
m1_subset_1(k3_xboole_0(X1,esk4_0),k1_zfmisc_1(esk1_0)),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_92,negated_conjecture,
( r1_tarski(k3_xboole_0(X1,esk4_0),esk4_0)
| ~ r1_tarski(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_93,negated_conjecture,
( ~ m1_subset_1(k3_xboole_0(esk3_0,esk4_0),k1_zfmisc_1(esk1_0))
| ~ r1_tarski(k3_xboole_0(esk3_0,esk4_0),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_64]),c_0_35]),c_0_62])]) ).
cnf(c_0_94,negated_conjecture,
r1_tarski(esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_95,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_91,c_0_92,c_0_93,c_0_94]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 4.60/4.68 % Problem : SEU432+4 : TPTP v8.1.2. Released v3.4.0.
% 4.60/4.72 % Command : run_E %s %d THM
% 4.72/4.93 % Computer : n012.cluster.edu
% 4.72/4.93 % Model : x86_64 x86_64
% 4.72/4.93 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 4.72/4.93 % Memory : 8042.1875MB
% 4.72/4.93 % OS : Linux 3.10.0-693.el7.x86_64
% 4.72/4.93 % CPULimit : 2400
% 4.72/4.93 % WCLimit : 300
% 4.72/4.93 % DateTime : Mon Oct 2 08:35:52 EDT 2023
% 4.72/4.94 % CPUTime :
% 42.20/42.42 Running first-order theorem proving
% 42.20/42.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.XwfM8nXGSj/E---3.1_11767.p
% 191.20/63.86 # Version: 3.1pre001
% 191.20/63.86 # Preprocessing class: FMLLMLLLSSSNFFN.
% 191.20/63.86 # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 191.20/63.86 # Starting new_bool_3 with 894s (3) cores
% 191.20/63.86 # Starting new_bool_1 with 894s (3) cores
% 191.20/63.86 # Starting sh5l with 298s (1) cores
% 191.20/63.86 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 298s (1) cores
% 191.20/63.86 # new_bool_1 with pid 11864 completed with status 0
% 191.20/63.86 # Result found by new_bool_1
% 191.20/63.86 # Preprocessing class: FMLLMLLLSSSNFFN.
% 191.20/63.86 # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 191.20/63.86 # Starting new_bool_3 with 894s (3) cores
% 191.20/63.86 # Starting new_bool_1 with 894s (3) cores
% 191.20/63.86 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 191.20/63.86 # Search class: FGHSM-SMLM32-DFFFFFNN
% 191.20/63.86 # Scheduled 13 strats onto 3 cores with 894 seconds (894 total)
% 191.20/63.86 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 68s (1) cores
% 191.20/63.86 # Starting new_bool_1 with 90s (1) cores
% 191.20/63.86 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 68s (1) cores
% 191.20/63.86 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 11868 completed with status 0
% 191.20/63.86 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 191.20/63.86 # Preprocessing class: FMLLMLLLSSSNFFN.
% 191.20/63.86 # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 191.20/63.86 # Starting new_bool_3 with 894s (3) cores
% 191.20/63.86 # Starting new_bool_1 with 894s (3) cores
% 191.20/63.86 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 191.20/63.86 # Search class: FGHSM-SMLM32-DFFFFFNN
% 191.20/63.86 # Scheduled 13 strats onto 3 cores with 894 seconds (894 total)
% 191.20/63.86 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 68s (1) cores
% 191.20/63.86 # Preprocessing time : 0.133 s
% 191.20/63.86 # Presaturation interreduction done
% 191.20/63.86 # SatCheck found unsatisfiable ground set
% 191.20/63.86
% 191.20/63.86 # Proof found!
% 191.20/63.86 # SZS status Theorem
% 191.20/63.86 # SZS output start CNFRefutation
% See solution above
% 191.20/63.86 # Parsed axioms : 71115
% 191.20/63.86 # Removed by relevancy pruning/SinE : 68841
% 191.20/63.86 # Initial clauses : 4821
% 191.20/63.86 # Removed in clause preprocessing : 79
% 191.20/63.86 # Initial clauses in saturation : 4742
% 191.20/63.86 # Processed clauses : 29695
% 191.20/63.86 # ...of these trivial : 413
% 191.20/63.86 # ...subsumed : 14282
% 191.20/63.86 # ...remaining for further processing : 15000
% 191.20/63.86 # Other redundant clauses eliminated : 2040
% 191.20/63.86 # Clauses deleted for lack of memory : 0
% 191.20/63.86 # Backward-subsumed : 503
% 191.20/63.86 # Backward-rewritten : 238
% 191.20/63.86 # Generated clauses : 299242
% 191.20/63.86 # ...of the previous two non-redundant : 282825
% 191.20/63.86 # ...aggressively subsumed : 0
% 191.20/63.86 # Contextual simplify-reflections : 488
% 191.20/63.86 # Paramodulations : 297133
% 191.20/63.86 # Factorizations : 22
% 191.20/63.86 # NegExts : 0
% 191.20/63.86 # Equation resolutions : 2131
% 191.20/63.86 # Total rewrite steps : 61819
% 191.20/63.86 # Propositional unsat checks : 3
% 191.20/63.86 # Propositional check models : 1
% 191.20/63.86 # Propositional check unsatisfiable : 1
% 191.20/63.86 # Propositional clauses : 270680
% 191.20/63.86 # Propositional clauses after purity: 36322
% 191.20/63.86 # Propositional unsat core size : 4
% 191.20/63.86 # Propositional preprocessing time : 0.000
% 191.20/63.86 # Propositional encoding time : 1.243
% 191.20/63.86 # Propositional solver time : 0.314
% 191.20/63.86 # Success case prop preproc time : 0.000
% 191.20/63.86 # Success case prop encoding time : 0.730
% 191.20/63.86 # Success case prop solver time : 0.061
% 191.20/63.86 # Current number of processed clauses : 9530
% 191.20/63.86 # Positive orientable unit clauses : 1325
% 191.20/63.86 # Positive unorientable unit clauses: 4
% 191.20/63.86 # Negative unit clauses : 2003
% 191.20/63.86 # Non-unit-clauses : 6198
% 191.20/63.86 # Current number of unprocessed clauses: 261150
% 191.20/63.86 # ...number of literals in the above : 1577681
% 191.20/63.86 # Current number of archived formulas : 0
% 191.20/63.86 # Current number of archived clauses : 5078
% 191.20/63.86 # Clause-clause subsumption calls (NU) : 23829879
% 191.20/63.86 # Rec. Clause-clause subsumption calls : 2580056
% 191.20/63.86 # Non-unit clause-clause subsumptions : 4940
% 191.20/63.86 # Unit Clause-clause subsumption calls : 2165121
% 191.20/63.86 # Rewrite failures with RHS unbound : 0
% 191.20/63.86 # BW rewrite match attempts : 739
% 191.20/63.86 # BW rewrite match successes : 258
% 191.20/63.86 # Condensation attempts : 0
% 191.20/63.86 # Condensation successes : 0
% 191.20/63.86 # Termbank termtop insertions : 14693728
% 191.20/63.86
% 191.20/63.86 # -------------------------------------------------
% 191.20/63.86 # User time : 18.244 s
% 191.20/63.86 # System time : 0.512 s
% 191.20/63.86 # Total time : 18.756 s
% 191.20/63.86 # Maximum resident set size: 147056 pages
% 191.20/63.86
% 191.20/63.86 # -------------------------------------------------
% 191.20/63.86 # User time : 55.323 s
% 191.20/63.86 # System time : 1.078 s
% 191.20/63.86 # Total time : 56.401 s
% 191.20/63.86 # Maximum resident set size: 117724 pages
% 191.20/63.86 % E---3.1 exiting
% 191.20/63.87 % E---3.1 exiting
%------------------------------------------------------------------------------