%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT359+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:05:06 PM UTC 2026
% Result : Theorem 0.26s 0.59s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 92 ( 19 unt; 0 def)
% Number of atoms : 287 ( 47 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 330 ( 135 ~; 119 |; 43 &)
% ( 6 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 155 ( 15 sgn 79 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d4_funct_1,axiom,
! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2,X3] :
( ( ~ r2_hidden(X2,k1_relat_1(X1))
=> ( X3 = k1_funct_1(X1,X2)
<=> X3 = k1_xboole_0 ) )
& ( r2_hidden(X2,k1_relat_1(X1))
=> ( X3 = k1_funct_1(X1,X2)
<=> r2_hidden(k4_tarski(X2,X3),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_funct_1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X2)
& r2_hidden(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(cc1_funct_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> v1_funct_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( r2_hidden(X1,X2)
| v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(rc2_funct_1,axiom,
? [X1] :
( v1_funct_1(X1)
& v1_xboole_0(X1)
& v1_relat_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(t12_waybel34,conjecture,
! [X1] :
( ( l2_altcat_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2,X3,X4] :
~ ( ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X1))
=> ~ ( m1_subset_1(X4,k1_altcat_1(X1,X5,X6))
& r2_hidden(X4,k1_altcat_1(X1,X5,X6))
& X6 = X3
& X5 = X2 ) ) )
& r2_hidden(X4,k1_binop_1(u1_altcat_1(X1),X2,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_waybel34) ).
fof(dt_l2_altcat_1,axiom,
! [X1] :
( l2_altcat_1(X1)
=> l1_altcat_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_altcat_1) ).
fof(d3_pboole,axiom,
! [X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( m1_pboole(X2,X1)
<=> k1_relat_1(X2) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pboole) ).
fof(dt_m1_pboole,axiom,
! [X1,X2] :
( m1_pboole(X2,X1)
=> ( v1_funct_1(X2)
& v1_relat_1(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_pboole) ).
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/sandbox2/benchmark/theBenchmark.p',d2_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/sandbox2/benchmark/theBenchmark.p',dt_u1_altcat_1) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(t106_zfmisc_1,axiom,
! [X1,X2,X3,X4] :
( r2_hidden(k4_tarski(X1,X2),k2_zfmisc_1(X3,X4))
<=> ( r2_hidden(X2,X4)
& r2_hidden(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(d1_binop_1,axiom,
! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2,X3] : k1_binop_1(X1,X2,X3) = k1_funct_1(X1,k4_tarski(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_binop_1) ).
fof(fc6_membered,axiom,
( v5_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_membered) ).
fof(c_0_17,plain,
! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2,X3] :
( ( ~ r2_hidden(X2,k1_relat_1(X1))
=> ( X3 = k1_funct_1(X1,X2)
<=> X3 = k1_xboole_0 ) )
& ( r2_hidden(X2,k1_relat_1(X1))
=> ( X3 = k1_funct_1(X1,X2)
<=> r2_hidden(k4_tarski(X2,X3),X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[d4_funct_1]) ).
fof(c_0_18,plain,
! [X49,X50,X51] :
( ( ~ v1_funct_1(X49)
| ~ v1_relat_1(X49)
| r2_hidden(X50,k1_relat_1(X49))
| X51 = k1_funct_1(X49,X50)
| X51 != k1_xboole_0 )
& ( ~ v1_funct_1(X49)
| ~ v1_relat_1(X49)
| r2_hidden(X50,k1_relat_1(X49))
| X51 = k1_xboole_0
| X51 != k1_funct_1(X49,X50) )
& ( ~ v1_funct_1(X49)
| ~ v1_relat_1(X49)
| ~ r2_hidden(X50,k1_relat_1(X49))
| X51 = k1_funct_1(X49,X50)
| ~ r2_hidden(k4_tarski(X50,X51),X49) )
& ( ~ v1_funct_1(X49)
| ~ v1_relat_1(X49)
| ~ r2_hidden(X50,k1_relat_1(X49))
| r2_hidden(k4_tarski(X50,X51),X49)
| X51 != k1_funct_1(X49,X50) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])]) ).
fof(c_0_19,plain,
! [X24,X25] :
( ~ v1_xboole_0(X25)
| ~ r2_hidden(X24,X25) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])]) ).
cnf(c_0_20,plain,
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X3,k1_relat_1(X2))
| X1 != k1_funct_1(X2,X3)
| r2_hidden(k4_tarski(X3,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_21,plain,
! [X54] :
( v1_funct_1(X54)
| ~ v1_xboole_0(X54) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_funct_1])])]) ).
fof(c_0_22,plain,
! [X22,X23] :
( r2_hidden(X22,X23)
| v1_xboole_0(X23)
| ~ m1_subset_1(X22,X23) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])]) ).
fof(c_0_23,plain,
! [X13] : m1_subset_1(esk5_1(X13),X13),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
cnf(c_0_24,plain,
( ~ v1_xboole_0(X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
( ~ r2_hidden(X1,k1_relat_1(X2))
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(k4_tarski(X1,k1_funct_1(X2,X1)),X2) ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( ~ v1_xboole_0(X1)
| v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
( ~ m1_subset_1(X1,X2)
| r2_hidden(X1,X2)
| v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
m1_subset_1(esk5_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_29,plain,
! [X62] :
( X62 = k1_xboole_0
| ~ v1_xboole_0(X62) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])])]) ).
cnf(c_0_30,plain,
( ~ r2_hidden(X2,k1_relat_1(X1))
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_31,plain,
( r2_hidden(esk5_1(X1),X1)
| v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_32,plain,
( v1_funct_1(esk12_0)
& v1_xboole_0(esk12_0)
& v1_relat_1(esk12_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_funct_1])]) ).
fof(c_0_33,negated_conjecture,
~ ! [X1] :
( ( l2_altcat_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2,X3,X4] :
~ ( ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X1))
=> ~ ( m1_subset_1(X4,k1_altcat_1(X1,X5,X6))
& r2_hidden(X4,k1_altcat_1(X1,X5,X6))
& X6 = X3
& X5 = X2 ) ) )
& r2_hidden(X4,k1_binop_1(u1_altcat_1(X1),X2,X3)) ) ),
inference(assume_negation,[status(cth)],[t12_waybel34]) ).
cnf(c_0_34,plain,
( ~ v1_xboole_0(X1)
| X1 = k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,plain,
( ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1)
| v1_xboole_0(k1_relat_1(X1)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,plain,
v1_xboole_0(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_37,negated_conjecture,
~ ! [X1] :
( ( l2_altcat_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2,X3,X4] :
~ ( ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X1))
=> ~ ( m1_subset_1(X4,k1_altcat_1(X1,X5,X6))
& r2_hidden(X4,k1_altcat_1(X1,X5,X6))
& X6 = X3
& X5 = X2 ) ) )
& r2_hidden(X4,k1_binop_1(u1_altcat_1(X1),X2,X3)) ) ),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
cnf(c_0_38,plain,
( ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X1) = k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,plain,
v1_relat_1(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,plain,
esk12_0 = k1_xboole_0,
inference(spm,[status(thm)],[c_0_34,c_0_36]) ).
cnf(c_0_41,plain,
v1_funct_1(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_42,plain,
! [X31] :
( l1_altcat_1(X31)
| ~ l2_altcat_1(X31) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_altcat_1])])]) ).
fof(c_0_43,negated_conjecture,
! [X11,X12] :
( ( ~ m1_subset_1(esk4_0,k1_altcat_1(esk1_0,X11,X12))
| ~ r2_hidden(esk4_0,k1_altcat_1(esk1_0,X11,X12))
| X12 != esk3_0
| X11 != esk2_0
| ~ m1_subset_1(X12,u1_struct_0(esk1_0))
| ~ m1_subset_1(X11,u1_struct_0(esk1_0)) )
& r2_hidden(esk4_0,k1_binop_1(u1_altcat_1(esk1_0),esk2_0,esk3_0))
& l2_altcat_1(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])])]) ).
fof(c_0_44,plain,
! [X63,X64] :
( ( ~ v1_funct_1(X64)
| ~ v1_relat_1(X64)
| m1_pboole(X64,X63)
| k1_relat_1(X64) != X63 )
& ( ~ v1_funct_1(X64)
| ~ v1_relat_1(X64)
| k1_relat_1(X64) = X63
| ~ m1_pboole(X64,X63) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_pboole])])])]) ).
fof(c_0_45,plain,
! [X38,X39] :
( ( ~ m1_pboole(X39,X38)
| v1_funct_1(X39) )
& ( ~ m1_pboole(X39,X38)
| v1_relat_1(X39) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_pboole])])])]) ).
cnf(c_0_46,plain,
( ~ r2_hidden(X2,k1_xboole_0)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_38]) ).
cnf(c_0_47,plain,
v1_relat_1(k1_xboole_0),
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_48,plain,
v1_funct_1(k1_xboole_0),
inference(rw,[status(thm)],[c_0_41,c_0_40]) ).
fof(c_0_49,plain,
! [X15,X16,X17] :
( k1_altcat_1(X15,X16,X17) = k1_binop_1(u1_altcat_1(X15),X16,X17)
| ~ m1_subset_1(X17,u1_struct_0(X15))
| ~ m1_subset_1(X16,u1_struct_0(X15))
| ~ l1_altcat_1(X15) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_altcat_1])])])]) ).
cnf(c_0_50,plain,
( ~ l2_altcat_1(X1)
| l1_altcat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,negated_conjecture,
l2_altcat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_52,plain,
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ m1_pboole(X1,X2)
| k1_relat_1(X1) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_53,plain,
( ~ m1_pboole(X1,X2)
| v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_54,plain,
( ~ m1_pboole(X1,X2)
| v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_55,plain,
! [X26] :
( m1_pboole(u1_altcat_1(X26),k2_zfmisc_1(u1_struct_0(X26),u1_struct_0(X26)))
| ~ l1_altcat_1(X26) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_altcat_1])])]) ).
cnf(c_0_56,plain,
( ~ r2_hidden(X2,k1_relat_1(k1_xboole_0))
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_25]),c_0_47]),c_0_48])]) ).
fof(c_0_57,plain,
! [X20,X21] :
( m1_subset_1(X20,X21)
| ~ r2_hidden(X20,X21) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])]) ).
cnf(c_0_58,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_43]) ).
cnf(c_0_59,plain,
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_altcat_1(X1)
| k1_altcat_1(X1,X2,X3) = k1_binop_1(u1_altcat_1(X1),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_60,negated_conjecture,
l1_altcat_1(esk1_0),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_61,plain,
! [X44,X45,X46,X47] :
( ( r2_hidden(k4_tarski(X44,X45),k2_zfmisc_1(X46,X47))
| ~ r2_hidden(X45,X47)
| ~ r2_hidden(X44,X46) )
& ( ~ r2_hidden(k4_tarski(X44,X45),k2_zfmisc_1(X46,X47))
| r2_hidden(X45,X47) )
& ( ~ r2_hidden(k4_tarski(X44,X45),k2_zfmisc_1(X46,X47))
| r2_hidden(X44,X46) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t106_zfmisc_1])])])]) ).
cnf(c_0_62,plain,
( ~ m1_pboole(X1,X2)
| k1_relat_1(X1) = X2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).
cnf(c_0_63,plain,
( ~ l1_altcat_1(X1)
| m1_pboole(u1_altcat_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
fof(c_0_64,plain,
! [X28,X29,X30] :
( k1_binop_1(X28,X29,X30) = k1_funct_1(X28,k4_tarski(X29,X30))
| ~ v1_funct_1(X28)
| ~ v1_relat_1(X28) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_binop_1])])])]) ).
cnf(c_0_65,plain,
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| X1 != k1_xboole_0
| r2_hidden(X3,k1_relat_1(X2))
| X1 = k1_funct_1(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_66,plain,
( ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1)
| v1_xboole_0(k1_relat_1(k1_xboole_0)) ),
inference(spm,[status(thm)],[c_0_56,c_0_31]) ).
cnf(c_0_67,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc6_membered]) ).
cnf(c_0_68,negated_conjecture,
( ~ m1_subset_1(esk4_0,k1_altcat_1(esk1_0,X1,X2))
| ~ r2_hidden(esk4_0,k1_altcat_1(esk1_0,X1,X2))
| X2 != esk3_0
| X1 != esk2_0
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_69,plain,
( ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_70,negated_conjecture,
( ~ m1_subset_1(esk2_0,u1_struct_0(esk1_0))
| ~ m1_subset_1(esk3_0,u1_struct_0(esk1_0))
| r2_hidden(esk4_0,k1_altcat_1(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]) ).
cnf(c_0_71,plain,
( ~ r2_hidden(k4_tarski(X3,X1),k2_zfmisc_1(X4,X2))
| r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_72,plain,
( ~ l1_altcat_1(X1)
| k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)) = k1_relat_1(u1_altcat_1(X1)) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_73,plain,
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_binop_1(X1,X2,X3) = k1_funct_1(X1,k4_tarski(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_74,plain,
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r2_hidden(X2,k1_relat_1(X1))
| k1_funct_1(X1,X2) = k1_xboole_0 ),
inference(er,[status(thm)],[c_0_65]) ).
cnf(c_0_75,plain,
v1_xboole_0(k1_relat_1(k1_xboole_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_47]),c_0_67])]) ).
cnf(c_0_76,negated_conjecture,
( ~ m1_subset_1(esk2_0,u1_struct_0(esk1_0))
| ~ m1_subset_1(esk3_0,u1_struct_0(esk1_0)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_68,c_0_69])])]),c_0_70]) ).
cnf(c_0_77,plain,
( ~ r2_hidden(k4_tarski(X3,X1),k1_relat_1(u1_altcat_1(X2)))
| ~ l1_altcat_1(X2)
| r2_hidden(X1,u1_struct_0(X2)) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_78,plain,
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r2_hidden(k4_tarski(X2,X3),k1_relat_1(X1))
| k1_binop_1(X1,X2,X3) = k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_79,plain,
( ~ l1_altcat_1(X1)
| v1_funct_1(u1_altcat_1(X1)) ),
inference(spm,[status(thm)],[c_0_53,c_0_63]) ).
cnf(c_0_80,plain,
( ~ l1_altcat_1(X1)
| v1_relat_1(u1_altcat_1(X1)) ),
inference(spm,[status(thm)],[c_0_54,c_0_63]) ).
cnf(c_0_81,plain,
k1_relat_1(k1_xboole_0) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_34,c_0_75]) ).
cnf(c_0_82,plain,
( ~ r2_hidden(k4_tarski(X1,X3),k2_zfmisc_1(X2,X4))
| r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_83,negated_conjecture,
( ~ r2_hidden(esk3_0,u1_struct_0(esk1_0))
| ~ m1_subset_1(esk2_0,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_76,c_0_69]) ).
cnf(c_0_84,plain,
( ~ l1_altcat_1(X1)
| r2_hidden(X3,u1_struct_0(X1))
| k1_binop_1(u1_altcat_1(X1),X2,X3) = k1_xboole_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_80]) ).
cnf(c_0_85,plain,
~ r2_hidden(X1,k1_xboole_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_81]),c_0_47]),c_0_67])]) ).
cnf(c_0_86,plain,
( ~ r2_hidden(k4_tarski(X1,X3),k1_relat_1(u1_altcat_1(X2)))
| ~ l1_altcat_1(X2)
| r2_hidden(X1,u1_struct_0(X2)) ),
inference(spm,[status(thm)],[c_0_82,c_0_72]) ).
cnf(c_0_87,negated_conjecture,
( ~ r2_hidden(esk2_0,u1_struct_0(esk1_0))
| ~ r2_hidden(esk3_0,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_83,c_0_69]) ).
cnf(c_0_88,negated_conjecture,
r2_hidden(esk3_0,u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_84]),c_0_60])]),c_0_85]) ).
cnf(c_0_89,plain,
( ~ l1_altcat_1(X1)
| r2_hidden(X2,u1_struct_0(X1))
| k1_binop_1(u1_altcat_1(X1),X2,X3) = k1_xboole_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_78]),c_0_79]),c_0_80]) ).
cnf(c_0_90,negated_conjecture,
~ r2_hidden(esk2_0,u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_88])]) ).
cnf(c_0_91,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_89]),c_0_60])]),c_0_85]),c_0_90]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT359+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n006.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 20 23:48:42 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.51 Running first-order theorem proving
% 0.26/0.51 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/benchmark/theBenchmark.p
% 0.26/0.59 % Version: 3.5.1
% 0.26/0.59 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.26/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.26/0.59 % Starting new_bool_3 with 300s (1) cores
% 0.26/0.59 % Starting new_bool_1 with 300s (1) cores
% 0.26/0.59 % Starting sh5l with 300s (1) cores
% 0.26/0.59 % new_bool_3 with pid 1545013 completed with status 0
% 0.26/0.59 % Result found by new_bool_3
% 0.26/0.59 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.26/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.26/0.59 % Starting new_bool_3 with 300s (1) cores
% 0.26/0.59 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.26/0.59 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.26/0.59 % Search class: FGHSM-FFMM31-SFFFFFNN
% 0.26/0.59 % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.26/0.59 % Starting SubtermCWHack with 28s (1) cores
% 0.26/0.59 % SubtermCWHack with pid 1545016 completed with status 0
% 0.26/0.59 % Result found by SubtermCWHack
% 0.26/0.59 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.26/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.26/0.59 % Starting new_bool_3 with 300s (1) cores
% 0.26/0.59 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.26/0.59 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.26/0.59 % Search class: FGHSM-FFMM31-SFFFFFNN
% 0.26/0.59 % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.26/0.59 % Starting SubtermCWHack with 28s (1) cores
% 0.26/0.59 % Preprocessing time : 0.002 s
% 0.26/0.59
% 0.26/0.59 % Proof found!
% 0.26/0.59 % SZS status Theorem
% 0.26/0.59 % SZS output start CNFRefutation
% See solution above
% 0.26/0.59 % Parsed axioms : 73
% 0.26/0.59 % Removed by relevancy pruning/SinE : 35
% 0.26/0.59 % Initial clauses : 62
% 0.26/0.59 % Removed in clause preprocessing : 0
% 0.26/0.59 % Initial clauses in saturation : 62
% 0.26/0.59 % Processed clauses : 391
% 0.26/0.59 % ...of these trivial : 31
% 0.26/0.59 % ...subsumed : 157
% 0.26/0.59 % ...remaining for further processing : 203
% 0.26/0.59 % Other redundant clauses eliminated : 6
% 0.26/0.59 % Clauses deleted for lack of memory : 0
% 0.26/0.59 % Backward-subsumed : 9
% 0.26/0.59 % Backward-rewritten : 8
% 0.26/0.59 % Generated clauses : 827
% 0.26/0.59 % ...of the previous two non-redundant : 714
% 0.26/0.59 % ...aggressively subsumed : 0
% 0.26/0.59 % Contextual simplify-reflections : 17
% 0.26/0.59 % Paramodulations : 822
% 0.26/0.59 % Factorizations : 0
% 0.26/0.59 % NegExts : 0
% 0.26/0.59 % Equation resolutions : 6
% 0.26/0.59 % Disequality decompositions : 0
% 0.26/0.59 % Total rewrite steps : 354
% 0.26/0.59 % ...of those cached : 296
% 0.26/0.59 % Propositional unsat checks : 0
% 0.26/0.59 % Propositional check models : 0
% 0.26/0.59 % Propositional check unsatisfiable : 0
% 0.26/0.59 % Propositional clauses : 0
% 0.26/0.59 % Propositional clauses after purity: 0
% 0.26/0.59 % Propositional unsat core size : 0
% 0.26/0.59 % Propositional preprocessing time : 0.000
% 0.26/0.59 % Propositional encoding time : 0.000
% 0.26/0.59 % Propositional solver time : 0.000
% 0.26/0.59 % Success case prop preproc time : 0.000
% 0.26/0.59 % Success case prop encoding time : 0.000
% 0.26/0.59 % Success case prop solver time : 0.000
% 0.26/0.59 % Current number of processed clauses : 181
% 0.26/0.59 % Positive orientable unit clauses : 44
% 0.26/0.59 % Positive unorientable unit clauses: 1
% 0.26/0.59 % Negative unit clauses : 15
% 0.26/0.59 % Non-unit-clauses : 121
% 0.26/0.59 % Current number of unprocessed clauses: 379
% 0.26/0.59 % ...number of literals in the above : 1361
% 0.26/0.59 % Current number of archived formulas : 0
% 0.26/0.59 % Current number of archived clauses : 17
% 0.26/0.59 % Clause-clause subsumption calls (NU) : 4892
% 0.26/0.59 % Rec. Clause-clause subsumption calls : 2144
% 0.26/0.59 % Non-unit clause-clause subsumptions : 131
% 0.26/0.59 % Unit Clause-clause subsumption calls : 195
% 0.26/0.59 % Rewrite failures with RHS unbound : 0
% 0.26/0.59 % BW rewrite match attempts : 10
% 0.26/0.59 % BW rewrite match successes : 6
% 0.26/0.59 % Condensation attempts : 0
% 0.26/0.59 % Condensation successes : 0
% 0.26/0.59 % Termbank termtop insertions : 18612
% 0.26/0.59 % Search garbage collected termcells : 794
% 0.26/0.59
% 0.26/0.59 % -------------------------------------------------
% 0.26/0.59 % User time : 0.029 s
% 0.26/0.59 % System time : 0.003 s
% 0.26/0.59 % Total time : 0.032 s
% 0.26/0.59 % Maximum resident set size: 3700 pages
% 0.26/0.59
% 0.26/0.59 % -------------------------------------------------
% 0.26/0.59 % User time : 0.033 s
% 0.26/0.59 % System time : 0.009 s
% 0.26/0.59 % Total time : 0.043 s
% 0.26/0.59 % Maximum resident set size: 4864 pages
% 0.26/0.59 % E exiting
%------------------------------------------------------------------------------