%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT359+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 49.17s 7.94s
% Output : CNFRefutation 49.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 65 ( 13 unt; 0 def)
% Number of atoms : 218 ( 45 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 258 ( 105 ~; 87 |; 34 &)
% ( 8 <=>; 24 =>; 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 : 113 ( 8 sgn 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/benchmark/theBenchmark.p',t12_waybel34) ).
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/sandbox/benchmark/Axioms/SET007/SET007+23.ax',d1_binop_1) ).
fof(dt_m1_pboole,axiom,
! [X1,X2] :
( m1_pboole(X2,X1)
=> ( v1_funct_1(X2)
& v1_relat_1(X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+80.ax',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/benchmark/Axioms/SET007/SET007+427.ax',dt_u1_altcat_1) ).
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/sandbox/benchmark/Axioms/SET007/SET007+11.ax',d4_funct_1) ).
fof(d1_xboole_0,axiom,
! [X1] :
( X1 = k1_xboole_0
<=> ! [X2] : ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',d1_xboole_0) ).
fof(dt_l2_altcat_1,axiom,
! [X1] :
( l2_altcat_1(X1)
=> l1_altcat_1(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+427.ax',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/sandbox/benchmark/Axioms/SET007/SET007+80.ax',d3_pboole) ).
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/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t106_zfmisc_1) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',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/benchmark/Axioms/SET007/SET007+427.ax',d2_altcat_1) ).
fof(c_0_11,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]) ).
fof(c_0_12,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_11]) ).
fof(c_0_13,negated_conjecture,
! [X17,X18] :
( ( ~ m1_subset_1(esk4_0,k1_altcat_1(esk1_0,X17,X18))
| ~ r2_hidden(esk4_0,k1_altcat_1(esk1_0,X17,X18))
| X18 != esk3_0
| X17 != esk2_0
| ~ m1_subset_1(X18,u1_struct_0(esk1_0))
| ~ m1_subset_1(X17,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_12])])])])]) ).
fof(c_0_14,plain,
! [X77,X78,X79] :
( k1_binop_1(X77,X78,X79) = k1_funct_1(X77,k4_tarski(X78,X79))
| ~ v1_funct_1(X77)
| ~ v1_relat_1(X77) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_binop_1])])])]) ).
fof(c_0_15,plain,
! [X546,X547] :
( ( ~ m1_pboole(X547,X546)
| v1_funct_1(X547) )
& ( ~ m1_pboole(X547,X546)
| v1_relat_1(X547) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_pboole])])])]) ).
fof(c_0_16,plain,
! [X104] :
( m1_pboole(u1_altcat_1(X104),k2_zfmisc_1(u1_struct_0(X104),u1_struct_0(X104)))
| ~ l1_altcat_1(X104) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_altcat_1])])]) ).
cnf(c_0_17,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_13]) ).
cnf(c_0_18,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_14]) ).
cnf(c_0_19,plain,
( ~ m1_pboole(X1,X2)
| v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,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_16]) ).
cnf(c_0_21,plain,
( ~ m1_pboole(X1,X2)
| v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_22,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_23,plain,
! [X1] :
( X1 = k1_xboole_0
<=> ! [X2] : ~ r2_hidden(X2,X1) ),
inference(fof_simplification,[status(thm)],[d1_xboole_0]) ).
cnf(c_0_24,negated_conjecture,
( ~ v1_relat_1(u1_altcat_1(esk1_0))
| ~ v1_funct_1(u1_altcat_1(esk1_0))
| r2_hidden(esk4_0,k1_funct_1(u1_altcat_1(esk1_0),k4_tarski(esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,plain,
( ~ l1_altcat_1(X1)
| v1_relat_1(u1_altcat_1(X1)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,plain,
( ~ l1_altcat_1(X1)
| v1_funct_1(u1_altcat_1(X1)) ),
inference(spm,[status(thm)],[c_0_21,c_0_20]) ).
fof(c_0_27,plain,
! [X559] :
( l1_altcat_1(X559)
| ~ l2_altcat_1(X559) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_altcat_1])])]) ).
fof(c_0_28,plain,
! [X393,X394,X395] :
( ( ~ v1_funct_1(X393)
| ~ v1_relat_1(X393)
| r2_hidden(X394,k1_relat_1(X393))
| X395 = k1_funct_1(X393,X394)
| X395 != k1_xboole_0 )
& ( ~ v1_funct_1(X393)
| ~ v1_relat_1(X393)
| r2_hidden(X394,k1_relat_1(X393))
| X395 = k1_xboole_0
| X395 != k1_funct_1(X393,X394) )
& ( ~ v1_funct_1(X393)
| ~ v1_relat_1(X393)
| ~ r2_hidden(X394,k1_relat_1(X393))
| X395 = k1_funct_1(X393,X394)
| ~ r2_hidden(k4_tarski(X394,X395),X393) )
& ( ~ v1_funct_1(X393)
| ~ v1_relat_1(X393)
| ~ r2_hidden(X394,k1_relat_1(X393))
| r2_hidden(k4_tarski(X394,X395),X393)
| X395 != k1_funct_1(X393,X394) ) ),
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_22])])])])]) ).
fof(c_0_29,plain,
! [X106,X107,X108] :
( ( X108 = k1_xboole_0
| r2_hidden(esk17_1(X108),X108) )
& ( ~ r2_hidden(X107,X106)
| X106 != k1_xboole_0 ) ),
inference(fof_nnf,[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_23])])])])])]) ).
cnf(c_0_30,negated_conjecture,
( ~ l1_altcat_1(esk1_0)
| r2_hidden(esk4_0,k1_funct_1(u1_altcat_1(esk1_0),k4_tarski(esk2_0,esk3_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_31,plain,
( ~ l2_altcat_1(X1)
| l1_altcat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_32,negated_conjecture,
l2_altcat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_33,plain,
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| X1 != k1_funct_1(X2,X3)
| r2_hidden(X3,k1_relat_1(X2))
| X1 = k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
( ~ r2_hidden(X2,X1)
| X1 != k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,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_30,c_0_31]),c_0_32])]) ).
cnf(c_0_36,plain,
( ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| r2_hidden(X2,k1_relat_1(X1))
| k1_funct_1(X1,X2) = k1_xboole_0 ),
inference(er,[status(thm)],[c_0_33]) ).
cnf(c_0_37,plain,
~ r2_hidden(X1,k1_xboole_0),
inference(er,[status(thm)],[c_0_34]) ).
fof(c_0_38,plain,
! [X536,X537] :
( ( ~ v1_funct_1(X537)
| ~ v1_relat_1(X537)
| m1_pboole(X537,X536)
| k1_relat_1(X537) != X536 )
& ( ~ v1_funct_1(X537)
| ~ v1_relat_1(X537)
| k1_relat_1(X537) = X536
| ~ m1_pboole(X537,X536) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_pboole])])])]) ).
cnf(c_0_39,negated_conjecture,
( ~ v1_relat_1(u1_altcat_1(esk1_0))
| ~ v1_funct_1(u1_altcat_1(esk1_0))
| r2_hidden(k4_tarski(esk2_0,esk3_0),k1_relat_1(u1_altcat_1(esk1_0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).
cnf(c_0_40,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_38]) ).
cnf(c_0_41,negated_conjecture,
( ~ l1_altcat_1(esk1_0)
| r2_hidden(k4_tarski(esk2_0,esk3_0),k1_relat_1(u1_altcat_1(esk1_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_25]),c_0_26]) ).
cnf(c_0_42,plain,
( ~ m1_pboole(X1,X2)
| k1_relat_1(X1) = X2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_40,c_0_19]),c_0_21]) ).
cnf(c_0_43,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_41,c_0_31]),c_0_32])]) ).
cnf(c_0_44,plain,
( ~ l1_altcat_1(X1)
| k1_relat_1(u1_altcat_1(X1)) = k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_42,c_0_20]) ).
fof(c_0_45,plain,
! [X272,X273,X274,X275] :
( ( r2_hidden(k4_tarski(X272,X273),k2_zfmisc_1(X274,X275))
| ~ r2_hidden(X273,X275)
| ~ r2_hidden(X272,X274) )
& ( ~ r2_hidden(k4_tarski(X272,X273),k2_zfmisc_1(X274,X275))
| r2_hidden(X273,X275) )
& ( ~ r2_hidden(k4_tarski(X272,X273),k2_zfmisc_1(X274,X275))
| r2_hidden(X272,X274) ) ),
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_46,negated_conjecture,
( ~ l1_altcat_1(esk1_0)
| r2_hidden(k4_tarski(esk2_0,esk3_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_47,plain,
! [X49,X50] :
( m1_subset_1(X49,X50)
| ~ r2_hidden(X49,X50) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])]) ).
cnf(c_0_48,plain,
( ~ r2_hidden(k4_tarski(X3,X1),k2_zfmisc_1(X4,X2))
| r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_49,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_46,c_0_31]),c_0_32])]) ).
fof(c_0_50,plain,
! [X98,X99,X100] :
( k1_altcat_1(X98,X99,X100) = k1_binop_1(u1_altcat_1(X98),X99,X100)
| ~ m1_subset_1(X100,u1_struct_0(X98))
| ~ m1_subset_1(X99,u1_struct_0(X98))
| ~ l1_altcat_1(X98) ),
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_51,plain,
( ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_52,negated_conjecture,
r2_hidden(esk3_0,u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_53,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_50]) ).
cnf(c_0_54,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,plain,
( ~ r2_hidden(k4_tarski(X1,X3),k2_zfmisc_1(X2,X4))
| r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_56,negated_conjecture,
( ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ l1_altcat_1(esk1_0)
| k1_binop_1(u1_altcat_1(esk1_0),X1,esk3_0) = k1_altcat_1(esk1_0,X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_57,negated_conjecture,
r2_hidden(esk2_0,u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_55,c_0_49]) ).
cnf(c_0_58,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_13]) ).
cnf(c_0_59,negated_conjecture,
( ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| k1_binop_1(u1_altcat_1(esk1_0),X1,esk3_0) = k1_altcat_1(esk1_0,X1,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_31]),c_0_32])]) ).
cnf(c_0_60,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_51,c_0_57]) ).
cnf(c_0_61,negated_conjecture,
( ~ r2_hidden(esk4_0,k1_altcat_1(esk1_0,esk2_0,esk3_0))
| ~ m1_subset_1(esk2_0,u1_struct_0(esk1_0))
| ~ m1_subset_1(esk3_0,u1_struct_0(esk1_0)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_58,c_0_51])])]) ).
cnf(c_0_62,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_59,c_0_60]) ).
cnf(c_0_63,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_61,c_0_60])]),c_0_54])]) ).
cnf(c_0_64,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_62]),c_0_63]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT359+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n002.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 23:51:49 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.49 Running first-order theorem proving
% 0.18/0.49 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 49.17/7.94 % Version: 3.5.1
% 49.17/7.94 % Preprocessing class: FMLLSMLLSSSNFFN.
% 49.17/7.94 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 49.17/7.94 % Starting new_bool_3 with 900s (3) cores
% 49.17/7.94 % Starting new_bool_1 with 900s (3) cores
% 49.17/7.94 % Starting sh5l with 300s (1) cores
% 49.17/7.94 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 49.17/7.94 % new_bool_3 with pid 1995296 completed with status 0
% 49.17/7.94 % Result found by new_bool_3
% 49.17/7.94 % Preprocessing class: FMLLSMLLSSSNFFN.
% 49.17/7.94 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 49.17/7.94 % Starting new_bool_3 with 900s (3) cores
% 49.17/7.94 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 49.17/7.94 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 49.17/7.94 % Search class: FGHSM-FSLM32-MFFFFFNN
% 49.17/7.94 % Scheduled 12 strats onto 3 cores with 900 seconds (900 total)
% 49.17/7.94 % Starting SubtermCWHack with 82s (1) cores
% 49.17/7.94 % Starting new_bool_3 with 91s (1) cores
% 49.17/7.94 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 74s (1) cores
% 49.17/7.94 % new_bool_3 with pid 1995342 completed with status 0
% 49.17/7.94 % Result found by new_bool_3
% 49.17/7.94 % Preprocessing class: FMLLSMLLSSSNFFN.
% 49.17/7.94 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 49.17/7.94 % Starting new_bool_3 with 900s (3) cores
% 49.17/7.94 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 49.17/7.94 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 49.17/7.94 % Search class: FGHSM-FSLM32-MFFFFFNN
% 49.17/7.94 % Scheduled 12 strats onto 3 cores with 900 seconds (900 total)
% 49.17/7.94 % Starting SubtermCWHack with 82s (1) cores
% 49.17/7.94 % Starting new_bool_3 with 91s (1) cores
% 49.17/7.94 % Preprocessing time : 0.018 s
% 49.17/7.94 % Presaturation interreduction done
% 49.17/7.94
% 49.17/7.94 % Proof found!
% 49.17/7.94 % SZS status Theorem
% 49.17/7.94 % SZS output start CNFRefutation
% See solution above
% 49.17/7.94 % Parsed axioms : 10346
% 49.17/7.94 % Removed by relevancy pruning/SinE : 10004
% 49.17/7.94 % Initial clauses : 688
% 49.17/7.94 % Removed in clause preprocessing : 29
% 49.17/7.94 % Initial clauses in saturation : 659
% 49.17/7.94 % Processed clauses : 40804
% 49.17/7.94 % ...of these trivial : 311
% 49.17/7.94 % ...subsumed : 34396
% 49.17/7.94 % ...remaining for further processing : 6097
% 49.17/7.94 % Other redundant clauses eliminated : 727
% 49.17/7.94 % Clauses deleted for lack of memory : 0
% 49.17/7.94 % Backward-subsumed : 324
% 49.17/7.94 % Backward-rewritten : 771
% 49.17/7.94 % Generated clauses : 474137
% 49.17/7.94 % ...of the previous two non-redundant : 440551
% 49.17/7.94 % ...aggressively subsumed : 0
% 49.17/7.94 % Contextual simplify-reflections : 161
% 49.17/7.94 % Paramodulations : 473372
% 49.17/7.94 % Factorizations : 18
% 49.17/7.94 % NegExts : 0
% 49.17/7.94 % Equation resolutions : 752
% 49.17/7.94 % Disequality decompositions : 0
% 49.17/7.94 % Total rewrite steps : 252670
% 49.17/7.94 % ...of those cached : 207137
% 49.17/7.94 % Propositional unsat checks : 1
% 49.17/7.94 % Propositional check models : 0
% 49.17/7.94 % Propositional check unsatisfiable : 0
% 49.17/7.94 % Propositional clauses : 0
% 49.17/7.94 % Propositional clauses after purity: 0
% 49.17/7.94 % Propositional unsat core size : 0
% 49.17/7.94 % Propositional preprocessing time : 0.000
% 49.17/7.94 % Propositional encoding time : 0.718
% 49.17/7.94 % Propositional solver time : 0.405
% 49.17/7.94 % Success case prop preproc time : 0.000
% 49.17/7.94 % Success case prop encoding time : 0.000
% 49.17/7.94 % Success case prop solver time : 0.000
% 49.17/7.94 % Current number of processed clauses : 4337
% 49.17/7.94 % Positive orientable unit clauses : 628
% 49.17/7.94 % Positive unorientable unit clauses: 15
% 49.17/7.94 % Negative unit clauses : 904
% 49.17/7.94 % Non-unit-clauses : 2790
% 49.17/7.94 % Current number of unprocessed clauses: 399216
% 49.17/7.94 % ...number of literals in the above : 996192
% 49.17/7.94 % Current number of archived formulas : 0
% 49.17/7.94 % Current number of archived clauses : 1700
% 49.17/7.94 % Clause-clause subsumption calls (NU) : 2363571
% 49.17/7.94 % Rec. Clause-clause subsumption calls : 1459125
% 49.17/7.94 % Non-unit clause-clause subsumptions : 10185
% 49.17/7.94 % Unit Clause-clause subsumption calls : 175888
% 49.17/7.94 % Rewrite failures with RHS unbound : 0
% 49.17/7.94 % BW rewrite match attempts : 1908
% 49.17/7.94 % BW rewrite match successes : 1106
% 49.17/7.94 % Condensation attempts : 0
% 49.17/7.94 % Condensation successes : 0
% 49.17/7.94 % Termbank termtop insertions : 10074195
% 49.17/7.94 % Search garbage collected termcells : 108798
% 49.17/7.94
% 49.17/7.94 % -------------------------------------------------
% 49.17/7.94 % User time : 6.629 s
% 49.17/7.94 % System time : 0.350 s
% 49.17/7.94 % Total time : 6.979 s
% 49.17/7.94 % Maximum resident set size: 24964 pages
% 49.17/7.94
% 49.17/7.94 % -------------------------------------------------
% 49.17/7.94 % User time : 19.861 s
% 49.17/7.94 % System time : 0.868 s
% 49.17/7.94 % Total time : 20.729 s
% 49.17/7.94 % Maximum resident set size: 19968 pages
% 49.17/7.94 % E exiting
%------------------------------------------------------------------------------