TSTP Solution File: LAT359+4 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LAT359+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 2133.87s 278.88s
% Output : CNFRefutation 2133.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 64 ( 13 unt; 0 def)
% Number of atoms : 209 ( 43 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 246 ( 101 ~; 87 |; 29 &)
% ( 8 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 107 ( 8 sgn; 66 !; 0 ?)
% 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.urqrGnB4s5/E---3.1_2487.p',t12_waybel34) ).
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.urqrGnB4s5/E---3.1_2487.p',d1_binop_1) ).
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.urqrGnB4s5/E---3.1_2487.p',dt_m1_pboole) ).
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.urqrGnB4s5/E---3.1_2487.p',dt_u1_altcat_1) ).
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.urqrGnB4s5/E---3.1_2487.p',d4_funct_1) ).
fof(d1_xboole_0,axiom,
! [X1] :
( X1 = k1_xboole_0
<=> ! [X2] : ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.urqrGnB4s5/E---3.1_2487.p',d1_xboole_0) ).
fof(dt_l2_altcat_1,axiom,
! [X1] :
( l2_altcat_1(X1)
=> l1_altcat_1(X1) ),
file('/export/starexec/sandbox/tmp/tmp.urqrGnB4s5/E---3.1_2487.p',dt_l2_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.urqrGnB4s5/E---3.1_2487.p',d3_pboole) ).
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.urqrGnB4s5/E---3.1_2487.p',t106_zfmisc_1) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.urqrGnB4s5/E---3.1_2487.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.urqrGnB4s5/E---3.1_2487.p',d2_altcat_1) ).
fof(c_0_11,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_12,negated_conjecture,
! [X56,X57] :
( ~ 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(X56,u1_struct_0(esk1_0))
| ~ m1_subset_1(X57,u1_struct_0(esk1_0))
| X56 != esk2_0
| X57 != esk3_0
| ~ r2_hidden(esk4_0,k1_altcat_1(esk1_0,X56,X57))
| ~ m1_subset_1(esk4_0,k1_altcat_1(esk1_0,X56,X57)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
fof(c_0_13,plain,
! [X119,X120,X121] :
( ~ v1_relat_1(X119)
| ~ v1_funct_1(X119)
| k1_binop_1(X119,X120,X121) = k1_funct_1(X119,k4_tarski(X120,X121)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_binop_1])])]) ).
fof(c_0_14,plain,
! [X797,X798] :
( ( v1_relat_1(X798)
| ~ m1_pboole(X798,X797) )
& ( v1_funct_1(X798)
| ~ m1_pboole(X798,X797) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_pboole])])]) ).
fof(c_0_15,plain,
! [X160] :
( ~ l1_altcat_1(X160)
| m1_pboole(u1_altcat_1(X160),k2_zfmisc_1(u1_struct_0(X160),u1_struct_0(X160))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_altcat_1])]) ).
cnf(c_0_16,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_12]) ).
cnf(c_0_17,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_13]) ).
cnf(c_0_18,plain,
( v1_relat_1(X1)
| ~ m1_pboole(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,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_15]) ).
cnf(c_0_20,plain,
( v1_funct_1(X1)
| ~ m1_pboole(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_21,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]) ).
fof(c_0_22,plain,
! [X1] :
( X1 = k1_xboole_0
<=> ! [X2] : ~ r2_hidden(X2,X1) ),
inference(fof_simplification,[status(thm)],[d1_xboole_0]) ).
cnf(c_0_23,negated_conjecture,
( r2_hidden(esk4_0,k1_funct_1(u1_altcat_1(esk1_0),k4_tarski(esk2_0,esk3_0)))
| ~ v1_funct_1(u1_altcat_1(esk1_0))
| ~ v1_relat_1(u1_altcat_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_24,plain,
( v1_relat_1(u1_altcat_1(X1))
| ~ l1_altcat_1(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
( v1_funct_1(u1_altcat_1(X1))
| ~ l1_altcat_1(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
fof(c_0_26,plain,
! [X850] :
( ~ l2_altcat_1(X850)
| l1_altcat_1(X850) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_altcat_1])]) ).
fof(c_0_27,plain,
! [X511,X512,X513] :
( ( X513 != k1_funct_1(X511,X512)
| r2_hidden(k4_tarski(X512,X513),X511)
| ~ r2_hidden(X512,k1_relat_1(X511))
| ~ v1_relat_1(X511)
| ~ v1_funct_1(X511) )
& ( ~ r2_hidden(k4_tarski(X512,X513),X511)
| X513 = k1_funct_1(X511,X512)
| ~ r2_hidden(X512,k1_relat_1(X511))
| ~ v1_relat_1(X511)
| ~ v1_funct_1(X511) )
& ( X513 != k1_funct_1(X511,X512)
| X513 = k1_xboole_0
| r2_hidden(X512,k1_relat_1(X511))
| ~ v1_relat_1(X511)
| ~ v1_funct_1(X511) )
& ( X513 != k1_xboole_0
| X513 = k1_funct_1(X511,X512)
| r2_hidden(X512,k1_relat_1(X511))
| ~ v1_relat_1(X511)
| ~ v1_funct_1(X511) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).
fof(c_0_28,plain,
! [X165,X166,X167] :
( ( X165 != k1_xboole_0
| ~ r2_hidden(X166,X165) )
& ( r2_hidden(esk23_1(X167),X167)
| X167 = k1_xboole_0 ) ),
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_22])])])])]) ).
cnf(c_0_29,negated_conjecture,
( r2_hidden(esk4_0,k1_funct_1(u1_altcat_1(esk1_0),k4_tarski(esk2_0,esk3_0)))
| ~ l1_altcat_1(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_30,plain,
( l1_altcat_1(X1)
| ~ l2_altcat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,negated_conjecture,
l2_altcat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_32,plain,
( X1 = k1_xboole_0
| r2_hidden(X3,k1_relat_1(X2))
| X1 != k1_funct_1(X2,X3)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
( X1 != k1_xboole_0
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,negated_conjecture,
r2_hidden(esk4_0,k1_funct_1(u1_altcat_1(esk1_0),k4_tarski(esk2_0,esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_35,plain,
( k1_funct_1(X1,X2) = k1_xboole_0
| r2_hidden(X2,k1_relat_1(X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(er,[status(thm)],[c_0_32]) ).
cnf(c_0_36,plain,
~ r2_hidden(X1,k1_xboole_0),
inference(er,[status(thm)],[c_0_33]) ).
fof(c_0_37,plain,
! [X784,X785] :
( ( ~ m1_pboole(X785,X784)
| k1_relat_1(X785) = X784
| ~ v1_relat_1(X785)
| ~ v1_funct_1(X785) )
& ( k1_relat_1(X785) != X784
| m1_pboole(X785,X784)
| ~ v1_relat_1(X785)
| ~ v1_funct_1(X785) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_pboole])])]) ).
cnf(c_0_38,negated_conjecture,
( r2_hidden(k4_tarski(esk2_0,esk3_0),k1_relat_1(u1_altcat_1(esk1_0)))
| ~ v1_funct_1(u1_altcat_1(esk1_0))
| ~ v1_relat_1(u1_altcat_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_39,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_37]) ).
cnf(c_0_40,negated_conjecture,
( r2_hidden(k4_tarski(esk2_0,esk3_0),k1_relat_1(u1_altcat_1(esk1_0)))
| ~ l1_altcat_1(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_24]),c_0_25]) ).
cnf(c_0_41,plain,
( k1_relat_1(X1) = X2
| ~ m1_pboole(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_39,c_0_18]),c_0_20]) ).
cnf(c_0_42,negated_conjecture,
r2_hidden(k4_tarski(esk2_0,esk3_0),k1_relat_1(u1_altcat_1(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_30]),c_0_31])]) ).
cnf(c_0_43,plain,
( k1_relat_1(u1_altcat_1(X1)) = k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_altcat_1(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_19]) ).
fof(c_0_44,plain,
! [X381,X382,X383,X384] :
( ( r2_hidden(X381,X383)
| ~ r2_hidden(k4_tarski(X381,X382),k2_zfmisc_1(X383,X384)) )
& ( r2_hidden(X382,X384)
| ~ r2_hidden(k4_tarski(X381,X382),k2_zfmisc_1(X383,X384)) )
& ( ~ r2_hidden(X381,X383)
| ~ r2_hidden(X382,X384)
| r2_hidden(k4_tarski(X381,X382),k2_zfmisc_1(X383,X384)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t106_zfmisc_1])])]) ).
cnf(c_0_45,negated_conjecture,
( r2_hidden(k4_tarski(esk2_0,esk3_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)))
| ~ l1_altcat_1(esk1_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_46,plain,
! [X88,X89] :
( ~ r2_hidden(X88,X89)
| m1_subset_1(X88,X89) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_47,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(k4_tarski(X3,X1),k2_zfmisc_1(X4,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_48,negated_conjecture,
r2_hidden(k4_tarski(esk2_0,esk3_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_30]),c_0_31])]) ).
fof(c_0_49,plain,
! [X157,X158,X159] :
( ~ l1_altcat_1(X157)
| ~ m1_subset_1(X158,u1_struct_0(X157))
| ~ m1_subset_1(X159,u1_struct_0(X157))
| k1_altcat_1(X157,X158,X159) = k1_binop_1(u1_altcat_1(X157),X158,X159) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_altcat_1])])]) ).
cnf(c_0_50,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_51,negated_conjecture,
r2_hidden(esk3_0,u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_52,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_49]) ).
cnf(c_0_53,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_54,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(k4_tarski(X1,X3),k2_zfmisc_1(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_55,negated_conjecture,
( k1_binop_1(u1_altcat_1(esk1_0),X1,esk3_0) = k1_altcat_1(esk1_0,X1,esk3_0)
| ~ l1_altcat_1(esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,negated_conjecture,
r2_hidden(esk2_0,u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_54,c_0_48]) ).
cnf(c_0_57,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_12]) ).
cnf(c_0_58,negated_conjecture,
( k1_binop_1(u1_altcat_1(esk1_0),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(spm,[status(thm)],[c_0_55,c_0_30]),c_0_31])]) ).
cnf(c_0_59,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_50,c_0_56]) ).
cnf(c_0_60,negated_conjecture,
( ~ m1_subset_1(esk3_0,u1_struct_0(esk1_0))
| ~ m1_subset_1(esk2_0,u1_struct_0(esk1_0))
| ~ r2_hidden(esk4_0,k1_altcat_1(esk1_0,esk2_0,esk3_0)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_57,c_0_50])])]) ).
cnf(c_0_61,negated_conjecture,
k1_binop_1(u1_altcat_1(esk1_0),esk2_0,esk3_0) = k1_altcat_1(esk1_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_62,negated_conjecture,
~ r2_hidden(esk4_0,k1_altcat_1(esk1_0,esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_53])]),c_0_59])]) ).
cnf(c_0_63,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_61]),c_0_62]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LAT359+4 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.10/0.32 % Computer : n002.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 2400
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Oct 2 10:23:07 EDT 2023
% 0.10/0.32 % CPUTime :
% 7.44/7.70 Running first-order model finding
% 7.44/7.70 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.urqrGnB4s5/E---3.1_2487.p
% 2133.87/278.88 # Version: 3.1pre001
% 2133.87/278.88 # Preprocessing class: FMLLMLLLSSSNFFN.
% 2133.87/278.88 # Scheduled 4 strats onto 8 cores with 297 seconds (2376 total)
% 2133.87/278.88 # Starting new_bool_3 with 891s (3) cores
% 2133.87/278.88 # Starting new_bool_1 with 891s (3) cores
% 2133.87/278.88 # Starting sh5l with 297s (1) cores
% 2133.87/278.88 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 297s (1) cores
% 2133.87/278.88 # new_bool_3 with pid 2611 completed with status 0
% 2133.87/278.88 # Result found by new_bool_3
% 2133.87/278.88 # Preprocessing class: FMLLMLLLSSSNFFN.
% 2133.87/278.88 # Scheduled 4 strats onto 8 cores with 297 seconds (2376 total)
% 2133.87/278.88 # Starting new_bool_3 with 891s (3) cores
% 2133.87/278.88 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2133.87/278.88 # Search class: FGHSM-SMLM32-MFFFFFNN
% 2133.87/278.88 # Scheduled 13 strats onto 3 cores with 891 seconds (891 total)
% 2133.87/278.88 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 67s (1) cores
% 2133.87/278.88 # Starting new_bool_3 with 90s (1) cores
% 2133.87/278.88 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 67s (1) cores
% 2133.87/278.88 # G-E--_208_C18_F1_SE_CS_SP_PS_S2g with pid 2617 completed with status 7
% 2133.87/278.88 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 67s (1) cores
% 2133.87/278.88 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 2615 completed with status 7
% 2133.87/278.88 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 67s (1) cores
% 2133.87/278.88 # new_bool_3 with pid 2616 completed with status 7
% 2133.87/278.88 # Starting G-E--_300_C01_F1_SE_CS_SP_S0Y with 67s (1) cores
% 2133.87/278.88 # G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with pid 2641 completed with status 7
% 2133.87/278.88 # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 67s (1) cores
% 2133.87/278.88 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 2640 completed with status 7
% 2133.87/278.88 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 67s (1) cores
% 2133.87/278.88 # G-E--_300_C01_F1_SE_CS_SP_S0Y with pid 2649 completed with status 7
% 2133.87/278.88 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 67s (1) cores
% 2133.87/278.88 # G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with pid 2669 completed with status 7
% 2133.87/278.88 # Starting G-E--_300_C18_F1_URBAN_S0Y with 67s (1) cores
% 2133.87/278.88 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with pid 2670 completed with status 7
% 2133.87/278.88 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 67s (1) cores
% 2133.87/278.88 # G-E--_200_B02_F1_SE_CS_SP_PI_S2k with pid 2680 completed with status 7
% 2133.87/278.88 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 67s (1) cores
% 2133.87/278.88 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 4256 completed with status 0
% 2133.87/278.88 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 2133.87/278.88 # Preprocessing class: FMLLMLLLSSSNFFN.
% 2133.87/278.88 # Scheduled 4 strats onto 8 cores with 297 seconds (2376 total)
% 2133.87/278.88 # Starting new_bool_3 with 891s (3) cores
% 2133.87/278.88 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2133.87/278.88 # Search class: FGHSM-SMLM32-MFFFFFNN
% 2133.87/278.88 # Scheduled 13 strats onto 3 cores with 891 seconds (891 total)
% 2133.87/278.88 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 67s (1) cores
% 2133.87/278.88 # Starting new_bool_3 with 90s (1) cores
% 2133.87/278.88 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 67s (1) cores
% 2133.87/278.88 # G-E--_208_C18_F1_SE_CS_SP_PS_S2g with pid 2617 completed with status 7
% 2133.87/278.88 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 67s (1) cores
% 2133.87/278.88 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 2615 completed with status 7
% 2133.87/278.88 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 67s (1) cores
% 2133.87/278.88 # new_bool_3 with pid 2616 completed with status 7
% 2133.87/278.88 # Starting G-E--_300_C01_F1_SE_CS_SP_S0Y with 67s (1) cores
% 2133.87/278.88 # G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with pid 2641 completed with status 7
% 2133.87/278.88 # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 67s (1) cores
% 2133.87/278.88 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 2640 completed with status 7
% 2133.87/278.88 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 67s (1) cores
% 2133.87/278.88 # G-E--_300_C01_F1_SE_CS_SP_S0Y with pid 2649 completed with status 7
% 2133.87/278.88 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 67s (1) cores
% 2133.87/278.88 # G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with pid 2669 completed with status 7
% 2133.87/278.88 # Starting G-E--_300_C18_F1_URBAN_S0Y with 67s (1) cores
% 2133.87/278.88 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with pid 2670 completed with status 7
% 2133.87/278.88 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 67s (1) cores
% 2133.87/278.88 # Preprocessing time : 0.105 s
% 2133.87/278.88 # Presaturation interreduction done
% 2133.87/278.88
% 2133.87/278.88 # Proof found!
% 2133.87/278.88 # SZS status Theorem
% 2133.87/278.88 # SZS output start CNFRefutation
% See solution above
% 2133.87/278.88 # Parsed axioms : 55706
% 2133.87/278.88 # Removed by relevancy pruning/SinE : 54680
% 2133.87/278.88 # Initial clauses : 2430
% 2133.87/278.88 # Removed in clause preprocessing : 65
% 2133.87/278.88 # Initial clauses in saturation : 2365
% 2133.87/278.88 # Processed clauses : 92071
% 2133.87/278.88 # ...of these trivial : 1379
% 2133.87/278.88 # ...subsumed : 63741
% 2133.87/278.88 # ...remaining for further processing : 26951
% 2133.87/278.88 # Other redundant clauses eliminated : 3826
% 2133.87/278.88 # Clauses deleted for lack of memory : 0
% 2133.87/278.88 # Backward-subsumed : 1575
% 2133.87/278.88 # Backward-rewritten : 4638
% 2133.87/278.88 # Generated clauses : 1014600
% 2133.87/278.88 # ...of the previous two non-redundant : 975363
% 2133.87/278.88 # ...aggressively subsumed : 0
% 2133.87/278.88 # Contextual simplify-reflections : 296
% 2133.87/278.88 # Paramodulations : 1010674
% 2133.87/278.88 # Factorizations : 33
% 2133.87/278.88 # NegExts : 0
% 2133.87/278.88 # Equation resolutions : 3905
% 2133.87/278.88 # Total rewrite steps : 160577
% 2133.87/278.88 # Propositional unsat checks : 5
% 2133.87/278.88 # Propositional check models : 1
% 2133.87/278.88 # Propositional check unsatisfiable : 0
% 2133.87/278.88 # Propositional clauses : 0
% 2133.87/278.88 # Propositional clauses after purity: 0
% 2133.87/278.88 # Propositional unsat core size : 0
% 2133.87/278.88 # Propositional preprocessing time : 0.000
% 2133.87/278.88 # Propositional encoding time : 3.418
% 2133.87/278.88 # Propositional solver time : 2.723
% 2133.87/278.88 # Success case prop preproc time : 0.000
% 2133.87/278.88 # Success case prop encoding time : 0.000
% 2133.87/278.88 # Success case prop solver time : 0.000
% 2133.87/278.88 # Current number of processed clauses : 18441
% 2133.87/278.88 # Positive orientable unit clauses : 3492
% 2133.87/278.88 # Positive unorientable unit clauses: 2
% 2133.87/278.88 # Negative unit clauses : 4683
% 2133.87/278.88 # Non-unit-clauses : 10264
% 2133.87/278.88 # Current number of unprocessed clauses: 879154
% 2133.87/278.88 # ...number of literals in the above : 3136824
% 2133.87/278.88 # Current number of archived formulas : 0
% 2133.87/278.88 # Current number of archived clauses : 8347
% 2133.87/278.88 # Clause-clause subsumption calls (NU) : 26017331
% 2133.87/278.88 # Rec. Clause-clause subsumption calls : 14112247
% 2133.87/278.88 # Non-unit clause-clause subsumptions : 16727
% 2133.87/278.88 # Unit Clause-clause subsumption calls : 6049750
% 2133.87/278.88 # Rewrite failures with RHS unbound : 0
% 2133.87/278.88 # BW rewrite match attempts : 1510
% 2133.87/278.88 # BW rewrite match successes : 268
% 2133.87/278.88 # Condensation attempts : 0
% 2133.87/278.88 # Condensation successes : 0
% 2133.87/278.88 # Termbank termtop insertions : 25332434
% 2133.87/278.88
% 2133.87/278.88 # -------------------------------------------------
% 2133.87/278.88 # User time : 677.309 s
% 2133.87/278.88 # System time : 9.974 s
% 2133.87/278.88 # Total time : 687.283 s
% 2133.87/278.88 # Maximum resident set size: 113288 pages
% 2133.87/278.88
% 2133.87/278.88 # -------------------------------------------------
% 2133.87/278.88 # User time : 780.777 s
% 2133.87/278.88 # System time : 12.094 s
% 2133.87/278.88 # Total time : 792.871 s
% 2133.87/278.88 # Maximum resident set size: 90432 pages
% 2133.87/278.88 % E---3.1 exiting
%------------------------------------------------------------------------------