TSTP Solution File: LAT359+3 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LAT359+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.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 18:10:56 EDT 2023
% Result : Theorem 925.97s 118.10s
% Output : CNFRefutation 925.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 78 ( 26 unt; 0 def)
% Number of atoms : 237 ( 54 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 268 ( 109 ~; 93 |; 39 &)
% ( 6 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-3 aty)
% Number of variables : 136 ( 11 sgn; 81 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t12_waybel34,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_altcat_1(X1) )
=> ! [X2,X3,X4] :
~ ( r2_hidden(X4,k1_binop_1(u1_altcat_1(X1),X2,X3))
& ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X1))
=> ~ ( X5 = X2
& X6 = X3
& r2_hidden(X4,k1_altcat_1(X1,X5,X6))
& m1_subset_1(X4,k1_altcat_1(X1,X5,X6)) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.uI3sKdTrHZ/E---3.1_28035.p',t12_waybel34) ).
fof(dt_l2_altcat_1,axiom,
! [X1] :
( l2_altcat_1(X1)
=> l1_altcat_1(X1) ),
file('/export/starexec/sandbox/tmp/tmp.uI3sKdTrHZ/E---3.1_28035.p',dt_l2_altcat_1) ).
fof(dt_u1_altcat_1,axiom,
! [X1] :
( l1_altcat_1(X1)
=> m1_pboole(u1_altcat_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/tmp.uI3sKdTrHZ/E---3.1_28035.p',dt_u1_altcat_1) ).
fof(d3_pboole,axiom,
! [X1,X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> ( m1_pboole(X2,X1)
<=> k1_relat_1(X2) = X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.uI3sKdTrHZ/E---3.1_28035.p',d3_pboole) ).
fof(dt_m1_pboole,axiom,
! [X1,X2] :
( m1_pboole(X2,X1)
=> ( v1_relat_1(X2)
& v1_funct_1(X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.uI3sKdTrHZ/E---3.1_28035.p',dt_m1_pboole) ).
fof(d4_funct_1,axiom,
! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ! [X2,X3] :
( ( r2_hidden(X2,k1_relat_1(X1))
=> ( X3 = k1_funct_1(X1,X2)
<=> r2_hidden(k4_tarski(X2,X3),X1) ) )
& ( ~ r2_hidden(X2,k1_relat_1(X1))
=> ( X3 = k1_funct_1(X1,X2)
<=> X3 = k1_xboole_0 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.uI3sKdTrHZ/E---3.1_28035.p',d4_funct_1) ).
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/sandbox/tmp/tmp.uI3sKdTrHZ/E---3.1_28035.p',t5_subset) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.uI3sKdTrHZ/E---3.1_28035.p',existence_m1_subset_1) ).
fof(t7_tarski,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& ! [X3] :
~ ( r2_hidden(X3,X2)
& ! [X4] :
~ ( r2_hidden(X4,X2)
& r2_hidden(X4,X3) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.uI3sKdTrHZ/E---3.1_28035.p',t7_tarski) ).
fof(t9_mcart_1,axiom,
! [X1] :
~ ( X1 != k1_xboole_0
& ! [X2] :
~ ( r2_hidden(X2,X1)
& ! [X3,X4] :
~ ( ( r2_hidden(X3,X1)
| r2_hidden(X4,X1) )
& X2 = k4_tarski(X3,X4) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.uI3sKdTrHZ/E---3.1_28035.p',t9_mcart_1) ).
fof(d1_binop_1,axiom,
! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ! [X2,X3] : k1_binop_1(X1,X2,X3) = k1_funct_1(X1,k4_tarski(X2,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.uI3sKdTrHZ/E---3.1_28035.p',d1_binop_1) ).
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/sandbox/tmp/tmp.uI3sKdTrHZ/E---3.1_28035.p',t106_zfmisc_1) ).
fof(fc1_xboole_0,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/tmp/tmp.uI3sKdTrHZ/E---3.1_28035.p',fc1_xboole_0) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.uI3sKdTrHZ/E---3.1_28035.p',t1_subset) ).
fof(d2_altcat_1,axiom,
! [X1] :
( l1_altcat_1(X1)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k1_altcat_1(X1,X2,X3) = k1_binop_1(u1_altcat_1(X1),X2,X3) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.uI3sKdTrHZ/E---3.1_28035.p',d2_altcat_1) ).
fof(c_0_15,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& l2_altcat_1(X1) )
=> ! [X2,X3,X4] :
~ ( r2_hidden(X4,k1_binop_1(u1_altcat_1(X1),X2,X3))
& ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X1))
=> ~ ( X5 = X2
& X6 = X3
& r2_hidden(X4,k1_altcat_1(X1,X5,X6))
& m1_subset_1(X4,k1_altcat_1(X1,X5,X6)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t12_waybel34])]) ).
fof(c_0_16,plain,
! [X563] :
( ~ l2_altcat_1(X563)
| l1_altcat_1(X563) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_altcat_1])]) ).
fof(c_0_17,negated_conjecture,
! [X19,X20] :
( ~ v3_struct_0(esk1_0)
& l2_altcat_1(esk1_0)
& r2_hidden(esk4_0,k1_binop_1(u1_altcat_1(esk1_0),esk2_0,esk3_0))
& ( ~ m1_subset_1(X19,u1_struct_0(esk1_0))
| ~ m1_subset_1(X20,u1_struct_0(esk1_0))
| X19 != esk2_0
| X20 != esk3_0
| ~ r2_hidden(esk4_0,k1_altcat_1(esk1_0,X19,X20))
| ~ m1_subset_1(esk4_0,k1_altcat_1(esk1_0,X19,X20)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).
fof(c_0_18,plain,
! [X106] :
( ~ l1_altcat_1(X106)
| m1_pboole(u1_altcat_1(X106),k2_zfmisc_1(u1_struct_0(X106),u1_struct_0(X106))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_altcat_1])]) ).
cnf(c_0_19,plain,
( l1_altcat_1(X1)
| ~ l2_altcat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,negated_conjecture,
l2_altcat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_21,plain,
! [X530,X531] :
( ( ~ m1_pboole(X531,X530)
| k1_relat_1(X531) = X530
| ~ v1_relat_1(X531)
| ~ v1_funct_1(X531) )
& ( k1_relat_1(X531) != X530
| m1_pboole(X531,X530)
| ~ v1_relat_1(X531)
| ~ v1_funct_1(X531) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_pboole])])]) ).
fof(c_0_22,plain,
! [X533,X534] :
( ( v1_relat_1(X534)
| ~ m1_pboole(X534,X533) )
& ( v1_funct_1(X534)
| ~ m1_pboole(X534,X533) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_pboole])])]) ).
fof(c_0_23,plain,
! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ! [X2,X3] :
( ( r2_hidden(X2,k1_relat_1(X1))
=> ( X3 = k1_funct_1(X1,X2)
<=> r2_hidden(k4_tarski(X2,X3),X1) ) )
& ( ~ r2_hidden(X2,k1_relat_1(X1))
=> ( X3 = k1_funct_1(X1,X2)
<=> X3 = k1_xboole_0 ) ) ) ),
inference(fof_simplification,[status(thm)],[d4_funct_1]) ).
cnf(c_0_24,plain,
( m1_pboole(u1_altcat_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))
| ~ l1_altcat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
l1_altcat_1(esk1_0),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,plain,
( k1_relat_1(X1) = X2
| ~ m1_pboole(X1,X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
( v1_relat_1(X1)
| ~ m1_pboole(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
( v1_funct_1(X1)
| ~ m1_pboole(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_29,plain,
! [X58,X59,X60] :
( ~ r2_hidden(X58,X59)
| ~ m1_subset_1(X59,k1_zfmisc_1(X60))
| ~ v1_xboole_0(X60) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(c_0_30,plain,
! [X21] : m1_subset_1(esk5_1(X21),X21),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(c_0_31,plain,
! [X32,X33,X35] :
( ( r2_hidden(esk7_2(X32,X33),X33)
| ~ r2_hidden(X32,X33) )
& ( ~ r2_hidden(X35,X33)
| ~ r2_hidden(X35,esk7_2(X32,X33))
| ~ r2_hidden(X32,X33) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_tarski])])])])]) ).
fof(c_0_32,plain,
! [X368,X369,X370] :
( ( X370 != k1_funct_1(X368,X369)
| r2_hidden(k4_tarski(X369,X370),X368)
| ~ r2_hidden(X369,k1_relat_1(X368))
| ~ v1_relat_1(X368)
| ~ v1_funct_1(X368) )
& ( ~ r2_hidden(k4_tarski(X369,X370),X368)
| X370 = k1_funct_1(X368,X369)
| ~ r2_hidden(X369,k1_relat_1(X368))
| ~ v1_relat_1(X368)
| ~ v1_funct_1(X368) )
& ( X370 != k1_funct_1(X368,X369)
| X370 = k1_xboole_0
| r2_hidden(X369,k1_relat_1(X368))
| ~ v1_relat_1(X368)
| ~ v1_funct_1(X368) )
& ( X370 != k1_xboole_0
| X370 = k1_funct_1(X368,X369)
| r2_hidden(X369,k1_relat_1(X368))
| ~ v1_relat_1(X368)
| ~ v1_funct_1(X368) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
cnf(c_0_33,negated_conjecture,
m1_pboole(u1_altcat_1(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_34,plain,
( k1_relat_1(X1) = X2
| ~ m1_pboole(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_35,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,plain,
m1_subset_1(esk5_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_37,plain,
! [X384,X386,X387] :
( ( r2_hidden(esk74_1(X384),X384)
| X384 = k1_xboole_0 )
& ( ~ r2_hidden(X386,X384)
| esk74_1(X384) != k4_tarski(X386,X387)
| X384 = k1_xboole_0 )
& ( ~ r2_hidden(X387,X384)
| esk74_1(X384) != k4_tarski(X386,X387)
| X384 = k1_xboole_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t9_mcart_1])])])])]) ).
cnf(c_0_38,plain,
( r2_hidden(esk7_2(X1,X2),X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,negated_conjecture,
r2_hidden(esk4_0,k1_binop_1(u1_altcat_1(esk1_0),esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_40,plain,
! [X79,X80,X81] :
( ~ v1_relat_1(X79)
| ~ v1_funct_1(X79)
| k1_binop_1(X79,X80,X81) = k1_funct_1(X79,k4_tarski(X80,X81)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_binop_1])])]) ).
cnf(c_0_41,plain,
( X1 = k1_funct_1(X2,X3)
| r2_hidden(X3,k1_relat_1(X2))
| X1 != k1_xboole_0
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,negated_conjecture,
v1_funct_1(u1_altcat_1(esk1_0)),
inference(spm,[status(thm)],[c_0_28,c_0_33]) ).
cnf(c_0_43,negated_conjecture,
k1_relat_1(u1_altcat_1(esk1_0)) = k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_34,c_0_33]) ).
cnf(c_0_44,negated_conjecture,
v1_relat_1(u1_altcat_1(esk1_0)),
inference(spm,[status(thm)],[c_0_27,c_0_33]) ).
cnf(c_0_45,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,esk5_1(k1_zfmisc_1(X1))) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_46,plain,
( r2_hidden(esk74_1(X1),X1)
| X1 = k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,negated_conjecture,
r2_hidden(esk7_2(esk4_0,k1_binop_1(u1_altcat_1(esk1_0),esk2_0,esk3_0)),k1_binop_1(u1_altcat_1(esk1_0),esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_48,plain,
( k1_binop_1(X1,X2,X3) = k1_funct_1(X1,k4_tarski(X2,X3))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_49,plain,
! [X247,X248,X249,X250] :
( ( r2_hidden(X247,X249)
| ~ r2_hidden(k4_tarski(X247,X248),k2_zfmisc_1(X249,X250)) )
& ( r2_hidden(X248,X250)
| ~ r2_hidden(k4_tarski(X247,X248),k2_zfmisc_1(X249,X250)) )
& ( ~ r2_hidden(X247,X249)
| ~ r2_hidden(X248,X250)
| r2_hidden(k4_tarski(X247,X248),k2_zfmisc_1(X249,X250)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t106_zfmisc_1])])]) ).
cnf(c_0_50,negated_conjecture,
( X1 = k1_funct_1(u1_altcat_1(esk1_0),X2)
| r2_hidden(X2,k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)))
| X1 != k1_xboole_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44])]) ).
cnf(c_0_51,plain,
( esk5_1(k1_zfmisc_1(X1)) = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]) ).
cnf(c_0_53,negated_conjecture,
r2_hidden(esk7_2(esk7_2(esk4_0,k1_binop_1(u1_altcat_1(esk1_0),esk2_0,esk3_0)),k1_binop_1(u1_altcat_1(esk1_0),esk2_0,esk3_0)),k1_binop_1(u1_altcat_1(esk1_0),esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_38,c_0_47]) ).
cnf(c_0_54,negated_conjecture,
k1_binop_1(u1_altcat_1(esk1_0),X1,X2) = k1_funct_1(u1_altcat_1(esk1_0),k4_tarski(X1,X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_42]),c_0_44])]) ).
cnf(c_0_55,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(k4_tarski(X3,X1),k2_zfmisc_1(X4,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_56,negated_conjecture,
( k1_funct_1(u1_altcat_1(esk1_0),X1) = k1_xboole_0
| r2_hidden(X1,k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))) ),
inference(er,[status(thm)],[c_0_50]) ).
cnf(c_0_57,plain,
esk5_1(k1_zfmisc_1(k1_xboole_0)) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_58,plain,
! [X51,X52] :
( ~ r2_hidden(X51,X52)
| m1_subset_1(X51,X52) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_59,negated_conjecture,
r2_hidden(esk7_2(esk7_2(esk4_0,k1_funct_1(u1_altcat_1(esk1_0),k4_tarski(esk2_0,esk3_0))),k1_funct_1(u1_altcat_1(esk1_0),k4_tarski(esk2_0,esk3_0))),k1_funct_1(u1_altcat_1(esk1_0),k4_tarski(esk2_0,esk3_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54]),c_0_54]),c_0_54]) ).
cnf(c_0_60,negated_conjecture,
( k1_funct_1(u1_altcat_1(esk1_0),k4_tarski(X1,X2)) = k1_xboole_0
| r2_hidden(X2,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_61,plain,
~ r2_hidden(X1,k1_xboole_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_57]),c_0_52])]) ).
cnf(c_0_62,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(k4_tarski(X1,X3),k2_zfmisc_1(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
fof(c_0_63,plain,
! [X103,X104,X105] :
( ~ l1_altcat_1(X103)
| ~ m1_subset_1(X104,u1_struct_0(X103))
| ~ m1_subset_1(X105,u1_struct_0(X103))
| k1_altcat_1(X103,X104,X105) = k1_binop_1(u1_altcat_1(X103),X104,X105) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_altcat_1])])]) ).
cnf(c_0_64,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_65,negated_conjecture,
r2_hidden(esk3_0,u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).
cnf(c_0_66,negated_conjecture,
( k1_funct_1(u1_altcat_1(esk1_0),k4_tarski(X1,X2)) = k1_xboole_0
| r2_hidden(X1,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_62,c_0_56]) ).
cnf(c_0_67,plain,
( k1_altcat_1(X1,X2,X3) = k1_binop_1(u1_altcat_1(X1),X2,X3)
| ~ l1_altcat_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_68,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,negated_conjecture,
r2_hidden(esk2_0,u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_66]),c_0_61]) ).
cnf(c_0_70,negated_conjecture,
( k1_funct_1(u1_altcat_1(esk1_0),k4_tarski(X1,esk3_0)) = k1_altcat_1(esk1_0,X1,esk3_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_54]),c_0_25])]) ).
cnf(c_0_71,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_64,c_0_69]) ).
cnf(c_0_72,negated_conjecture,
( ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| X1 != esk2_0
| X2 != esk3_0
| ~ r2_hidden(esk4_0,k1_altcat_1(esk1_0,X1,X2))
| ~ m1_subset_1(esk4_0,k1_altcat_1(esk1_0,X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_73,negated_conjecture,
r2_hidden(esk4_0,k1_funct_1(u1_altcat_1(esk1_0),k4_tarski(esk2_0,esk3_0))),
inference(rw,[status(thm)],[c_0_39,c_0_54]) ).
cnf(c_0_74,negated_conjecture,
k1_funct_1(u1_altcat_1(esk1_0),k4_tarski(esk2_0,esk3_0)) = k1_altcat_1(esk1_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_75,negated_conjecture,
( X1 != esk3_0
| X2 != esk2_0
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ r2_hidden(esk4_0,k1_altcat_1(esk1_0,X2,X1)) ),
inference(csr,[status(thm)],[c_0_72,c_0_64]) ).
cnf(c_0_76,negated_conjecture,
r2_hidden(esk4_0,k1_altcat_1(esk1_0,esk2_0,esk3_0)),
inference(rw,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_77,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_68]),c_0_71])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : LAT359+3 : TPTP v8.1.2. Released v3.4.0.
% 0.02/0.10 % Command : run_E %s %d THM
% 0.09/0.31 % Computer : n003.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 2400
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Oct 2 10:35:20 EDT 2023
% 0.09/0.31 % CPUTime :
% 1.32/1.52 Running first-order model finding
% 1.32/1.52 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.uI3sKdTrHZ/E---3.1_28035.p
% 925.97/118.10 # Version: 3.1pre001
% 925.97/118.10 # Preprocessing class: FMLLSMLLSSSNFFN.
% 925.97/118.10 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 925.97/118.10 # Starting new_bool_3 with 900s (3) cores
% 925.97/118.10 # Starting new_bool_1 with 900s (3) cores
% 925.97/118.10 # Starting sh5l with 300s (1) cores
% 925.97/118.10 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 925.97/118.10 # G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 28216 completed with status 0
% 925.97/118.10 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y
% 925.97/118.10 # Preprocessing class: FMLLSMLLSSSNFFN.
% 925.97/118.10 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 925.97/118.10 # Starting new_bool_3 with 900s (3) cores
% 925.97/118.10 # Starting new_bool_1 with 900s (3) cores
% 925.97/118.10 # Starting sh5l with 300s (1) cores
% 925.97/118.10 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 925.97/118.10 # SinE strategy is gf120_gu_R02_F100_L20000
% 925.97/118.10 # Search class: FGHSM-FSLM32-MFFFFFNN
% 925.97/118.10 # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 925.97/118.10 # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 925.97/118.10 # G-E--_303_C18_F1_URBAN_S0Y with pid 28217 completed with status 7
% 925.97/118.10 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 31s (1) cores
% 925.97/118.10 # G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 28681 completed with status 7
% 925.97/118.10 # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 25s (1) cores
% 925.97/118.10 # U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with pid 28683 completed with status 7
% 925.97/118.10 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 25s (1) cores
% 925.97/118.10 # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with pid 28690 completed with status 7
% 925.97/118.10 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0i with 25s (1) cores
% 925.97/118.10 # G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0i with pid 28698 completed with status 0
% 925.97/118.10 # Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0i
% 925.97/118.10 # Preprocessing class: FMLLSMLLSSSNFFN.
% 925.97/118.10 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 925.97/118.10 # Starting new_bool_3 with 900s (3) cores
% 925.97/118.10 # Starting new_bool_1 with 900s (3) cores
% 925.97/118.10 # Starting sh5l with 300s (1) cores
% 925.97/118.10 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 925.97/118.10 # SinE strategy is gf120_gu_R02_F100_L20000
% 925.97/118.10 # Search class: FGHSM-FSLM32-MFFFFFNN
% 925.97/118.10 # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 925.97/118.10 # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 925.97/118.10 # G-E--_303_C18_F1_URBAN_S0Y with pid 28217 completed with status 7
% 925.97/118.10 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 31s (1) cores
% 925.97/118.10 # G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 28681 completed with status 7
% 925.97/118.10 # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 25s (1) cores
% 925.97/118.10 # U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with pid 28683 completed with status 7
% 925.97/118.10 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 25s (1) cores
% 925.97/118.10 # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with pid 28690 completed with status 7
% 925.97/118.10 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0i with 25s (1) cores
% 925.97/118.10 # Preprocessing time : 0.015 s
% 925.97/118.10 # Presaturation interreduction done
% 925.97/118.10
% 925.97/118.10 # Proof found!
% 925.97/118.10 # SZS status Theorem
% 925.97/118.10 # SZS output start CNFRefutation
% See solution above
% 925.97/118.10 # Parsed axioms : 18925
% 925.97/118.10 # Removed by relevancy pruning/SinE : 18760
% 925.97/118.10 # Initial clauses : 373
% 925.97/118.10 # Removed in clause preprocessing : 7
% 925.97/118.10 # Initial clauses in saturation : 366
% 925.97/118.10 # Processed clauses : 12455
% 925.97/118.10 # ...of these trivial : 275
% 925.97/118.10 # ...subsumed : 3360
% 925.97/118.10 # ...remaining for further processing : 8820
% 925.97/118.10 # Other redundant clauses eliminated : 55
% 925.97/118.10 # Clauses deleted for lack of memory : 0
% 925.97/118.10 # Backward-subsumed : 252
% 925.97/118.10 # Backward-rewritten : 137
% 925.97/118.10 # Generated clauses : 228165
% 925.97/118.10 # ...of the previous two non-redundant : 221175
% 925.97/118.10 # ...aggressively subsumed : 0
% 925.97/118.10 # Contextual simplify-reflections : 72
% 925.97/118.10 # Paramodulations : 227795
% 925.97/118.10 # Factorizations : 6
% 925.97/118.10 # NegExts : 0
% 925.97/118.10 # Equation resolutions : 309
% 925.97/118.10 # Total rewrite steps : 24936
% 925.97/118.10 # Propositional unsat checks : 0
% 925.97/118.10 # Propositional check models : 0
% 925.97/118.10 # Propositional check unsatisfiable : 0
% 925.97/118.10 # Propositional clauses : 0
% 925.97/118.10 # Propositional clauses after purity: 0
% 925.97/118.10 # Propositional unsat core size : 0
% 925.97/118.10 # Propositional preprocessing time : 0.000
% 925.97/118.10 # Propositional encoding time : 0.000
% 925.97/118.10 # Propositional solver time : 0.000
% 925.97/118.10 # Success case prop preproc time : 0.000
% 925.97/118.10 # Success case prop encoding time : 0.000
% 925.97/118.10 # Success case prop solver time : 0.000
% 925.97/118.10 # Current number of processed clauses : 8024
% 925.97/118.10 # Positive orientable unit clauses : 1553
% 925.97/118.10 # Positive unorientable unit clauses: 0
% 925.97/118.10 # Negative unit clauses : 1524
% 925.97/118.10 # Non-unit-clauses : 4947
% 925.97/118.10 # Current number of unprocessed clauses: 208710
% 925.97/118.10 # ...number of literals in the above : 871755
% 925.97/118.10 # Current number of archived formulas : 0
% 925.97/118.10 # Current number of archived clauses : 792
% 925.97/118.10 # Clause-clause subsumption calls (NU) : 1246480
% 925.97/118.10 # Rec. Clause-clause subsumption calls : 671294
% 925.97/118.10 # Non-unit clause-clause subsumptions : 1919
% 925.97/118.10 # Unit Clause-clause subsumption calls : 293797
% 925.97/118.10 # Rewrite failures with RHS unbound : 0
% 925.97/118.10 # BW rewrite match attempts : 8011
% 925.97/118.10 # BW rewrite match successes : 46
% 925.97/118.10 # Condensation attempts : 0
% 925.97/118.10 # Condensation successes : 0
% 925.97/118.10 # Termbank termtop insertions : 6637401
% 925.97/118.10
% 925.97/118.10 # -------------------------------------------------
% 925.97/118.10 # User time : 111.579 s
% 925.97/118.10 # System time : 3.122 s
% 925.97/118.10 # Total time : 114.701 s
% 925.97/118.10 # Maximum resident set size: 38388 pages
% 925.97/118.10
% 925.97/118.10 # -------------------------------------------------
% 925.97/118.10 # User time : 112.108 s
% 925.97/118.10 # System time : 3.137 s
% 925.97/118.10 # Total time : 115.245 s
% 925.97/118.10 # Maximum resident set size: 29396 pages
% 925.97/118.10 % E---3.1 exiting
%------------------------------------------------------------------------------