TSTP Solution File: SEU412+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SEU412+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 19:26:22 EDT 2023
% Result : Theorem 0.16s 0.50s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 92 ( 19 unt; 0 def)
% Number of atoms : 321 ( 47 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 391 ( 162 ~; 155 |; 51 &)
% ( 8 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-6 aty)
% Number of variables : 184 ( 20 sgn; 92 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox2/tmp/tmp.JdsXIUTEAp/E---3.1_10303.p',dt_m2_relset_1) ).
fof(dt_u1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> m2_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.JdsXIUTEAp/E---3.1_10303.p',dt_u1_orders_2) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.JdsXIUTEAp/E---3.1_10303.p',t4_subset) ).
fof(t22_latsum_1,conjecture,
! [X1,X2,X3] :
( l1_orders_2(X3)
=> ! [X4] :
( l1_orders_2(X4)
=> ~ ( r2_hidden(k4_tarski(X1,X2),u1_orders_2(k1_latsum_1(X3,X4)))
& v13_waybel_0(k3_xboole_0(u1_struct_0(X3),u1_struct_0(X4)),X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(X3),u1_struct_0(X4)),k1_zfmisc_1(u1_struct_0(X3)))
& ~ ( r2_hidden(X1,u1_struct_0(X3))
& r2_hidden(X2,u1_struct_0(X3)) )
& ~ ( r2_hidden(X1,u1_struct_0(X4))
& r2_hidden(X2,u1_struct_0(X4)) )
& ~ ( r2_hidden(X1,k4_xboole_0(u1_struct_0(X3),u1_struct_0(X4)))
& r2_hidden(X2,k4_xboole_0(u1_struct_0(X4),u1_struct_0(X3))) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JdsXIUTEAp/E---3.1_10303.p',t22_latsum_1) ).
fof(d4_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = k4_xboole_0(X1,X2)
<=> ! [X4] :
( r2_hidden(X4,X3)
<=> ( r2_hidden(X4,X1)
& ~ r2_hidden(X4,X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JdsXIUTEAp/E---3.1_10303.p',d4_xboole_0) ).
fof(t106_zfmisc_1,axiom,
! [X1,X2,X3,X4] :
( r2_hidden(k4_tarski(X1,X2),k2_zfmisc_1(X3,X4))
<=> ( r2_hidden(X1,X3)
& r2_hidden(X2,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JdsXIUTEAp/E---3.1_10303.p',t106_zfmisc_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JdsXIUTEAp/E---3.1_10303.p',t2_subset) ).
fof(t3_boole,axiom,
! [X1] : k4_xboole_0(X1,k1_xboole_0) = X1,
file('/export/starexec/sandbox2/tmp/tmp.JdsXIUTEAp/E---3.1_10303.p',t3_boole) ).
fof(t4_boole,axiom,
! [X1] : k4_xboole_0(k1_xboole_0,X1) = k1_xboole_0,
file('/export/starexec/sandbox2/tmp/tmp.JdsXIUTEAp/E---3.1_10303.p',t4_boole) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox2/tmp/tmp.JdsXIUTEAp/E---3.1_10303.p',t5_subset) ).
fof(d2_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = k2_xboole_0(X1,X2)
<=> ! [X4] :
( r2_hidden(X4,X3)
<=> ( r2_hidden(X4,X1)
| r2_hidden(X4,X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JdsXIUTEAp/E---3.1_10303.p',d2_xboole_0) ).
fof(t1_boole,axiom,
! [X1] : k2_xboole_0(X1,k1_xboole_0) = X1,
file('/export/starexec/sandbox2/tmp/tmp.JdsXIUTEAp/E---3.1_10303.p',t1_boole) ).
fof(d2_latsum_1,axiom,
! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( l1_orders_2(X2)
=> ! [X3] :
( ( v1_orders_2(X3)
& l1_orders_2(X3) )
=> ( X3 = k1_latsum_1(X1,X2)
<=> ( u1_struct_0(X3) = k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
& u1_orders_2(X3) = k2_xboole_0(k2_xboole_0(u1_orders_2(X1),u1_orders_2(X2)),k7_relset_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X2),u1_orders_2(X1),u1_orders_2(X2))) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JdsXIUTEAp/E---3.1_10303.p',d2_latsum_1) ).
fof(dt_k1_latsum_1,axiom,
! [X1,X2] :
( ( l1_orders_2(X1)
& l1_orders_2(X2) )
=> ( v1_orders_2(k1_latsum_1(X1,X2))
& l1_orders_2(k1_latsum_1(X1,X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JdsXIUTEAp/E---3.1_10303.p',dt_k1_latsum_1) ).
fof(t17_latsum_1,axiom,
! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( l1_orders_2(X2)
=> ! [X3,X4] :
( ( v13_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X1)))
& r2_hidden(k4_tarski(X3,X4),u1_orders_2(k1_latsum_1(X1,X2)))
& r2_hidden(X3,u1_struct_0(X2)) )
=> r2_hidden(X4,u1_struct_0(X2)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JdsXIUTEAp/E---3.1_10303.p',t17_latsum_1) ).
fof(c_0_15,plain,
! [X103,X104,X105] :
( ~ m2_relset_1(X105,X103,X104)
| m1_subset_1(X105,k1_zfmisc_1(k2_zfmisc_1(X103,X104))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
fof(c_0_16,plain,
! [X30] :
( ~ l1_orders_2(X30)
| m2_relset_1(u1_orders_2(X30),u1_struct_0(X30),u1_struct_0(X30)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_orders_2])]) ).
fof(c_0_17,plain,
! [X33,X34,X35] :
( ~ r2_hidden(X33,X34)
| ~ m1_subset_1(X34,k1_zfmisc_1(X35))
| m1_subset_1(X33,X35) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
cnf(c_0_18,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,plain,
( m2_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_20,negated_conjecture,
~ ! [X1,X2,X3] :
( l1_orders_2(X3)
=> ! [X4] :
( l1_orders_2(X4)
=> ~ ( r2_hidden(k4_tarski(X1,X2),u1_orders_2(k1_latsum_1(X3,X4)))
& v13_waybel_0(k3_xboole_0(u1_struct_0(X3),u1_struct_0(X4)),X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(X3),u1_struct_0(X4)),k1_zfmisc_1(u1_struct_0(X3)))
& ~ ( r2_hidden(X1,u1_struct_0(X3))
& r2_hidden(X2,u1_struct_0(X3)) )
& ~ ( r2_hidden(X1,u1_struct_0(X4))
& r2_hidden(X2,u1_struct_0(X4)) )
& ~ ( r2_hidden(X1,k4_xboole_0(u1_struct_0(X3),u1_struct_0(X4)))
& r2_hidden(X2,k4_xboole_0(u1_struct_0(X4),u1_struct_0(X3))) ) ) ) ),
inference(assume_negation,[status(cth)],[t22_latsum_1]) ).
fof(c_0_21,plain,
! [X1,X2,X3] :
( X3 = k4_xboole_0(X1,X2)
<=> ! [X4] :
( r2_hidden(X4,X3)
<=> ( r2_hidden(X4,X1)
& ~ r2_hidden(X4,X2) ) ) ),
inference(fof_simplification,[status(thm)],[d4_xboole_0]) ).
fof(c_0_22,plain,
! [X52,X53,X54,X55] :
( ( r2_hidden(X52,X54)
| ~ r2_hidden(k4_tarski(X52,X53),k2_zfmisc_1(X54,X55)) )
& ( r2_hidden(X53,X55)
| ~ r2_hidden(k4_tarski(X52,X53),k2_zfmisc_1(X54,X55)) )
& ( ~ r2_hidden(X52,X54)
| ~ r2_hidden(X53,X55)
| r2_hidden(k4_tarski(X52,X53),k2_zfmisc_1(X54,X55)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t106_zfmisc_1])])]) ).
fof(c_0_23,plain,
! [X15,X16] :
( ~ m1_subset_1(X15,X16)
| v1_xboole_0(X16)
| r2_hidden(X15,X16) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_24,plain,
( m1_subset_1(X1,X3)
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
( m1_subset_1(u1_orders_2(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_26,negated_conjecture,
( l1_orders_2(esk3_0)
& l1_orders_2(esk4_0)
& r2_hidden(k4_tarski(esk1_0,esk2_0),u1_orders_2(k1_latsum_1(esk3_0,esk4_0)))
& v13_waybel_0(k3_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)),esk3_0)
& m1_subset_1(k3_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)),k1_zfmisc_1(u1_struct_0(esk3_0)))
& ( ~ r2_hidden(esk1_0,u1_struct_0(esk3_0))
| ~ r2_hidden(esk2_0,u1_struct_0(esk3_0)) )
& ( ~ r2_hidden(esk1_0,u1_struct_0(esk4_0))
| ~ r2_hidden(esk2_0,u1_struct_0(esk4_0)) )
& ( ~ r2_hidden(esk1_0,k4_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)))
| ~ r2_hidden(esk2_0,k4_xboole_0(u1_struct_0(esk4_0),u1_struct_0(esk3_0))) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_27,plain,
! [X19,X20,X21,X22,X23,X24,X25,X26] :
( ( r2_hidden(X22,X19)
| ~ r2_hidden(X22,X21)
| X21 != k4_xboole_0(X19,X20) )
& ( ~ r2_hidden(X22,X20)
| ~ r2_hidden(X22,X21)
| X21 != k4_xboole_0(X19,X20) )
& ( ~ r2_hidden(X23,X19)
| r2_hidden(X23,X20)
| r2_hidden(X23,X21)
| X21 != k4_xboole_0(X19,X20) )
& ( ~ r2_hidden(esk5_3(X24,X25,X26),X26)
| ~ r2_hidden(esk5_3(X24,X25,X26),X24)
| r2_hidden(esk5_3(X24,X25,X26),X25)
| X26 = k4_xboole_0(X24,X25) )
& ( r2_hidden(esk5_3(X24,X25,X26),X24)
| r2_hidden(esk5_3(X24,X25,X26),X26)
| X26 = k4_xboole_0(X24,X25) )
& ( ~ r2_hidden(esk5_3(X24,X25,X26),X25)
| r2_hidden(esk5_3(X24,X25,X26),X26)
| X26 = k4_xboole_0(X24,X25) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])])])]) ).
fof(c_0_28,plain,
! [X28] : k4_xboole_0(X28,k1_xboole_0) = X28,
inference(variable_rename,[status(thm)],[t3_boole]) ).
fof(c_0_29,plain,
! [X29] : k4_xboole_0(k1_xboole_0,X29) = k1_xboole_0,
inference(variable_rename,[status(thm)],[t4_boole]) ).
fof(c_0_30,plain,
! [X36,X37,X38] :
( ~ r2_hidden(X36,X37)
| ~ m1_subset_1(X37,k1_zfmisc_1(X38))
| ~ v1_xboole_0(X38) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_31,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(k4_tarski(X3,X1),k2_zfmisc_1(X4,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,plain,
( m1_subset_1(X1,k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)))
| ~ r2_hidden(X1,u1_orders_2(X2))
| ~ l1_orders_2(X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_34,negated_conjecture,
r2_hidden(k4_tarski(esk1_0,esk2_0),u1_orders_2(k1_latsum_1(esk3_0,esk4_0))),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_35,plain,
! [X75,X76,X77,X78,X79,X80,X81,X82] :
( ( ~ r2_hidden(X78,X77)
| r2_hidden(X78,X75)
| r2_hidden(X78,X76)
| X77 != k2_xboole_0(X75,X76) )
& ( ~ r2_hidden(X79,X75)
| r2_hidden(X79,X77)
| X77 != k2_xboole_0(X75,X76) )
& ( ~ r2_hidden(X79,X76)
| r2_hidden(X79,X77)
| X77 != k2_xboole_0(X75,X76) )
& ( ~ r2_hidden(esk11_3(X80,X81,X82),X80)
| ~ r2_hidden(esk11_3(X80,X81,X82),X82)
| X82 = k2_xboole_0(X80,X81) )
& ( ~ r2_hidden(esk11_3(X80,X81,X82),X81)
| ~ r2_hidden(esk11_3(X80,X81,X82),X82)
| X82 = k2_xboole_0(X80,X81) )
& ( r2_hidden(esk11_3(X80,X81,X82),X82)
| r2_hidden(esk11_3(X80,X81,X82),X80)
| r2_hidden(esk11_3(X80,X81,X82),X81)
| X82 = k2_xboole_0(X80,X81) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_xboole_0])])])])])]) ).
fof(c_0_36,plain,
! [X65] : k2_xboole_0(X65,k1_xboole_0) = X65,
inference(variable_rename,[status(thm)],[t1_boole]) ).
cnf(c_0_37,plain,
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X1,X3)
| X3 != k4_xboole_0(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_38,plain,
k4_xboole_0(X1,k1_xboole_0) = X1,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,plain,
k4_xboole_0(k1_xboole_0,X1) = k1_xboole_0,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_41,plain,
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| r2_hidden(X3,X2)
| ~ m1_subset_1(k4_tarski(X4,X3),k2_zfmisc_1(X1,X2)) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_42,negated_conjecture,
( m1_subset_1(k4_tarski(esk1_0,esk2_0),k2_zfmisc_1(u1_struct_0(k1_latsum_1(esk3_0,esk4_0)),u1_struct_0(k1_latsum_1(esk3_0,esk4_0))))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_43,plain,
( r2_hidden(X1,X3)
| ~ r2_hidden(X1,X2)
| X3 != k2_xboole_0(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,plain,
k2_xboole_0(X1,k1_xboole_0) = X1,
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,plain,
( ~ r2_hidden(X1,k1_xboole_0)
| ~ r2_hidden(X1,X2) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38])]) ).
cnf(c_0_46,plain,
( X1 != k1_xboole_0
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X2,X3) ),
inference(spm,[status(thm)],[c_0_37,c_0_39]) ).
cnf(c_0_47,plain,
( ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))
| ~ r2_hidden(X2,u1_orders_2(X1))
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_25]) ).
cnf(c_0_48,negated_conjecture,
( v1_xboole_0(k2_zfmisc_1(u1_struct_0(k1_latsum_1(esk3_0,esk4_0)),u1_struct_0(k1_latsum_1(esk3_0,esk4_0))))
| r2_hidden(esk2_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_49,plain,
~ r2_hidden(X1,k1_xboole_0),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44])]),c_0_45]) ).
cnf(c_0_50,plain,
( r2_hidden(esk5_3(X1,X2,X3),X1)
| r2_hidden(esk5_3(X1,X2,X3),X3)
| X3 = k4_xboole_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_51,negated_conjecture,
( u1_orders_2(k1_latsum_1(esk3_0,esk4_0)) != k1_xboole_0
| ~ r2_hidden(k4_tarski(esk1_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_34]) ).
fof(c_0_52,plain,
! [X47,X48,X49] :
( ( u1_struct_0(X49) = k2_xboole_0(u1_struct_0(X47),u1_struct_0(X48))
| X49 != k1_latsum_1(X47,X48)
| ~ v1_orders_2(X49)
| ~ l1_orders_2(X49)
| ~ l1_orders_2(X48)
| ~ l1_orders_2(X47) )
& ( u1_orders_2(X49) = k2_xboole_0(k2_xboole_0(u1_orders_2(X47),u1_orders_2(X48)),k7_relset_1(u1_struct_0(X47),u1_struct_0(X47),u1_struct_0(X48),u1_struct_0(X48),u1_orders_2(X47),u1_orders_2(X48)))
| X49 != k1_latsum_1(X47,X48)
| ~ v1_orders_2(X49)
| ~ l1_orders_2(X49)
| ~ l1_orders_2(X48)
| ~ l1_orders_2(X47) )
& ( u1_struct_0(X49) != k2_xboole_0(u1_struct_0(X47),u1_struct_0(X48))
| u1_orders_2(X49) != k2_xboole_0(k2_xboole_0(u1_orders_2(X47),u1_orders_2(X48)),k7_relset_1(u1_struct_0(X47),u1_struct_0(X47),u1_struct_0(X48),u1_struct_0(X48),u1_orders_2(X47),u1_orders_2(X48)))
| X49 = k1_latsum_1(X47,X48)
| ~ v1_orders_2(X49)
| ~ l1_orders_2(X49)
| ~ l1_orders_2(X48)
| ~ l1_orders_2(X47) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_latsum_1])])])]) ).
fof(c_0_53,plain,
! [X50,X51] :
( ( v1_orders_2(k1_latsum_1(X50,X51))
| ~ l1_orders_2(X50)
| ~ l1_orders_2(X51) )
& ( l1_orders_2(k1_latsum_1(X50,X51))
| ~ l1_orders_2(X50)
| ~ l1_orders_2(X51) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_latsum_1])])]) ).
cnf(c_0_54,negated_conjecture,
( r2_hidden(esk2_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
| ~ r2_hidden(X1,u1_orders_2(k1_latsum_1(esk3_0,esk4_0)))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_55,plain,
( X1 = k1_xboole_0
| r2_hidden(esk5_3(k1_xboole_0,X2,X1),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_39]) ).
cnf(c_0_56,negated_conjecture,
u1_orders_2(k1_latsum_1(esk3_0,esk4_0)) != k1_xboole_0,
inference(spm,[status(thm)],[c_0_51,c_0_34]) ).
cnf(c_0_57,plain,
( u1_struct_0(X1) = k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3))
| X1 != k1_latsum_1(X2,X3)
| ~ v1_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_58,plain,
( l1_orders_2(k1_latsum_1(X1,X2))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_59,plain,
( v1_orders_2(k1_latsum_1(X1,X2))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_60,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(k4_tarski(X1,X3),k2_zfmisc_1(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_61,plain,
( r2_hidden(X1,X3)
| r2_hidden(X1,X4)
| ~ r2_hidden(X1,X2)
| X4 != k4_xboole_0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_62,plain,
( r2_hidden(X1,X3)
| r2_hidden(X1,X4)
| ~ r2_hidden(X1,X2)
| X2 != k2_xboole_0(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_63,negated_conjecture,
( r2_hidden(esk2_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_64,plain,
( u1_struct_0(k1_latsum_1(X1,X2)) = k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_57]),c_0_58]),c_0_59]) ).
cnf(c_0_65,negated_conjecture,
l1_orders_2(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_66,negated_conjecture,
l1_orders_2(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_67,plain,
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| r2_hidden(X3,X1)
| ~ m1_subset_1(k4_tarski(X3,X4),k2_zfmisc_1(X1,X2)) ),
inference(spm,[status(thm)],[c_0_60,c_0_32]) ).
cnf(c_0_68,negated_conjecture,
( ~ r2_hidden(esk1_0,k4_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)))
| ~ r2_hidden(esk2_0,k4_xboole_0(u1_struct_0(esk4_0),u1_struct_0(esk3_0))) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_69,plain,
( r2_hidden(X1,k4_xboole_0(X2,X3))
| r2_hidden(X1,X3)
| ~ r2_hidden(X1,X2) ),
inference(er,[status(thm)],[c_0_61]) ).
cnf(c_0_70,plain,
( r2_hidden(X1,X2)
| r2_hidden(X1,X3)
| ~ r2_hidden(X1,k2_xboole_0(X3,X2)) ),
inference(er,[status(thm)],[c_0_62]) ).
cnf(c_0_71,negated_conjecture,
( r2_hidden(esk2_0,k2_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),c_0_66])]) ).
cnf(c_0_72,negated_conjecture,
( v1_xboole_0(k2_zfmisc_1(u1_struct_0(k1_latsum_1(esk3_0,esk4_0)),u1_struct_0(k1_latsum_1(esk3_0,esk4_0))))
| r2_hidden(esk1_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_67,c_0_42]) ).
cnf(c_0_73,negated_conjecture,
( r2_hidden(esk2_0,u1_struct_0(esk3_0))
| ~ r2_hidden(esk1_0,k4_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)))
| ~ r2_hidden(esk2_0,u1_struct_0(esk4_0)) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,negated_conjecture,
( r2_hidden(esk2_0,u1_struct_0(esk3_0))
| r2_hidden(esk2_0,u1_struct_0(esk4_0))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_75,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,X3)
| X3 != k4_xboole_0(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_76,plain,
! [X43,X44,X45,X46] :
( ~ l1_orders_2(X43)
| ~ l1_orders_2(X44)
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X43),u1_struct_0(X44)),X43)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X43),u1_struct_0(X44)),k1_zfmisc_1(u1_struct_0(X43)))
| ~ r2_hidden(k4_tarski(X45,X46),u1_orders_2(k1_latsum_1(X43,X44)))
| ~ r2_hidden(X45,u1_struct_0(X44))
| r2_hidden(X46,u1_struct_0(X44)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t17_latsum_1])])]) ).
cnf(c_0_77,negated_conjecture,
( r2_hidden(esk1_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
| ~ r2_hidden(X1,u1_orders_2(k1_latsum_1(esk3_0,esk4_0)))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_47,c_0_72]) ).
cnf(c_0_78,negated_conjecture,
( ~ r2_hidden(esk1_0,u1_struct_0(esk3_0))
| ~ r2_hidden(esk2_0,u1_struct_0(esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_79,negated_conjecture,
( r2_hidden(esk2_0,u1_struct_0(esk3_0))
| ~ r2_hidden(esk1_0,k4_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_80,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,k4_xboole_0(X2,X3)) ),
inference(er,[status(thm)],[c_0_75]) ).
cnf(c_0_81,plain,
( r2_hidden(X4,u1_struct_0(X2))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X1)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k4_tarski(X3,X4),u1_orders_2(k1_latsum_1(X1,X2)))
| ~ r2_hidden(X3,u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_82,negated_conjecture,
m1_subset_1(k3_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)),k1_zfmisc_1(u1_struct_0(esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_83,negated_conjecture,
v13_waybel_0(k3_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)),esk3_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_84,negated_conjecture,
( ~ r2_hidden(esk1_0,u1_struct_0(esk4_0))
| ~ r2_hidden(esk2_0,u1_struct_0(esk4_0)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_85,negated_conjecture,
( r2_hidden(esk1_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_55]),c_0_56]) ).
cnf(c_0_86,negated_conjecture,
( ~ r2_hidden(esk1_0,k4_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]) ).
cnf(c_0_87,negated_conjecture,
~ r2_hidden(esk1_0,u1_struct_0(esk4_0)),
inference(csr,[status(thm)],[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_81,c_0_34]),c_0_82]),c_0_83]),c_0_65]),c_0_66])]),c_0_84]) ).
cnf(c_0_88,negated_conjecture,
( r2_hidden(esk1_0,k2_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_64]),c_0_65]),c_0_66])]) ).
cnf(c_0_89,negated_conjecture,
( ~ r2_hidden(esk1_0,u1_struct_0(esk3_0))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_69]),c_0_87]) ).
cnf(c_0_90,negated_conjecture,
~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_88]),c_0_87]),c_0_89]) ).
cnf(c_0_91,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_58]),c_0_65]),c_0_66])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU412+1 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n019.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Oct 2 08:07:51 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.JdsXIUTEAp/E---3.1_10303.p
% 0.16/0.50 # Version: 3.1pre001
% 0.16/0.50 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.50 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.50 # Starting sh5l with 300s (1) cores
% 0.16/0.50 # new_bool_3 with pid 10382 completed with status 0
% 0.16/0.50 # Result found by new_bool_3
% 0.16/0.50 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.50 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.50 # Search class: FGHSM-FFMM32-MFFFFFNN
% 0.16/0.50 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.50 # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 127s (1) cores
% 0.16/0.50 # G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with pid 10386 completed with status 0
% 0.16/0.50 # Result found by G-E--_200_B02_F1_AE_CS_SP_PI_S0Y
% 0.16/0.50 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.50 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.50 # Search class: FGHSM-FFMM32-MFFFFFNN
% 0.16/0.50 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.50 # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 127s (1) cores
% 0.16/0.50 # Preprocessing time : 0.002 s
% 0.16/0.50
% 0.16/0.50 # Proof found!
% 0.16/0.50 # SZS status Theorem
% 0.16/0.50 # SZS output start CNFRefutation
% See solution above
% 0.16/0.51 # Parsed axioms : 57
% 0.16/0.51 # Removed by relevancy pruning/SinE : 15
% 0.16/0.51 # Initial clauses : 67
% 0.16/0.51 # Removed in clause preprocessing : 0
% 0.16/0.51 # Initial clauses in saturation : 67
% 0.16/0.51 # Processed clauses : 902
% 0.16/0.51 # ...of these trivial : 8
% 0.16/0.51 # ...subsumed : 467
% 0.16/0.51 # ...remaining for further processing : 427
% 0.16/0.51 # Other redundant clauses eliminated : 18
% 0.16/0.51 # Clauses deleted for lack of memory : 0
% 0.16/0.51 # Backward-subsumed : 98
% 0.16/0.51 # Backward-rewritten : 5
% 0.16/0.51 # Generated clauses : 2408
% 0.16/0.51 # ...of the previous two non-redundant : 2212
% 0.16/0.51 # ...aggressively subsumed : 0
% 0.16/0.51 # Contextual simplify-reflections : 16
% 0.16/0.51 # Paramodulations : 2354
% 0.16/0.51 # Factorizations : 22
% 0.16/0.51 # NegExts : 0
% 0.16/0.51 # Equation resolutions : 32
% 0.16/0.51 # Total rewrite steps : 292
% 0.16/0.51 # Propositional unsat checks : 0
% 0.16/0.51 # Propositional check models : 0
% 0.16/0.51 # Propositional check unsatisfiable : 0
% 0.16/0.51 # Propositional clauses : 0
% 0.16/0.51 # Propositional clauses after purity: 0
% 0.16/0.51 # Propositional unsat core size : 0
% 0.16/0.51 # Propositional preprocessing time : 0.000
% 0.16/0.51 # Propositional encoding time : 0.000
% 0.16/0.51 # Propositional solver time : 0.000
% 0.16/0.51 # Success case prop preproc time : 0.000
% 0.16/0.51 # Success case prop encoding time : 0.000
% 0.16/0.51 # Success case prop solver time : 0.000
% 0.16/0.51 # Current number of processed clauses : 324
% 0.16/0.51 # Positive orientable unit clauses : 36
% 0.16/0.51 # Positive unorientable unit clauses: 2
% 0.16/0.51 # Negative unit clauses : 10
% 0.16/0.51 # Non-unit-clauses : 276
% 0.16/0.51 # Current number of unprocessed clauses: 1293
% 0.16/0.51 # ...number of literals in the above : 4769
% 0.16/0.51 # Current number of archived formulas : 0
% 0.16/0.51 # Current number of archived clauses : 103
% 0.16/0.51 # Clause-clause subsumption calls (NU) : 17601
% 0.16/0.51 # Rec. Clause-clause subsumption calls : 11847
% 0.16/0.51 # Non-unit clause-clause subsumptions : 471
% 0.16/0.51 # Unit Clause-clause subsumption calls : 417
% 0.16/0.51 # Rewrite failures with RHS unbound : 0
% 0.16/0.51 # BW rewrite match attempts : 33
% 0.16/0.51 # BW rewrite match successes : 19
% 0.16/0.51 # Condensation attempts : 0
% 0.16/0.51 # Condensation successes : 0
% 0.16/0.51 # Termbank termtop insertions : 35072
% 0.16/0.51
% 0.16/0.51 # -------------------------------------------------
% 0.16/0.51 # User time : 0.067 s
% 0.16/0.51 # System time : 0.004 s
% 0.16/0.51 # Total time : 0.072 s
% 0.16/0.51 # Maximum resident set size: 2020 pages
% 0.16/0.51
% 0.16/0.51 # -------------------------------------------------
% 0.16/0.51 # User time : 0.070 s
% 0.16/0.51 # System time : 0.006 s
% 0.16/0.51 # Total time : 0.075 s
% 0.16/0.51 # Maximum resident set size: 1732 pages
% 0.16/0.51 % E---3.1 exiting
% 0.16/0.51 % E---3.1 exiting
%------------------------------------------------------------------------------