%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT356+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 : n018.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 01:05:05 PM UTC 2026
% Result : Theorem 203.96s 30.45s
% Output : CNFRefutation 203.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 44 ( 9 unt; 0 def)
% Number of atoms : 429 ( 18 equ)
% Maximal formula atoms : 72 ( 9 avg)
% Number of connectives : 614 ( 229 ~; 238 |; 122 &)
% ( 2 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-4 aty)
% Number of variables : 51 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t6_waybel34,axiom,
! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> v3_waybel_1(k1_waybel_1(X1,X1,k7_grcat_1(X1),k7_grcat_1(X1)),X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_waybel34) ).
fof(cc1_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+335.ax',cc1_lattice3) ).
fof(t7_waybel34,conjecture,
! [X1] :
( ( l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( k2_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
& k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_waybel34) ).
fof(d2_waybel34,axiom,
! [X1] :
( ( l1_orders_2(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& v2_lattice3(X2)
& v1_lattice3(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
& v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
& v1_funct_1(X3) )
=> ( ( v18_waybel_0(X3,X2,X1)
& v3_lattice3(X2)
& v3_lattice3(X1) )
=> ! [X4] :
( ( m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4) )
=> ( X4 = k2_waybel34(X1,X2,X3)
<=> v3_waybel_1(k1_waybel_1(X1,X2,X4,X3),X1,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_waybel34) ).
fof(d1_waybel34,axiom,
! [X1] :
( ( l1_orders_2(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& v2_lattice3(X2)
& v1_lattice3(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ( ( v17_waybel_0(X3,X1,X2)
& v3_lattice3(X2)
& v3_lattice3(X1) )
=> ! [X4] :
( ( m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
& v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
& v1_funct_1(X4) )
=> ( X4 = k1_waybel34(X1,X2,X3)
<=> v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_waybel34) ).
fof(fc4_waybel10,axiom,
! [X1] :
( ( l1_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( v8_waybel_1(k7_grcat_1(X1),X1)
& v7_waybel_1(k7_grcat_1(X1),X1)
& v6_waybel_1(k7_grcat_1(X1),X1)
& v23_waybel_0(k7_grcat_1(X1),X1,X1)
& v22_waybel_0(k7_grcat_1(X1),X1,X1)
& v21_waybel_0(k7_grcat_1(X1),X1,X1)
& v20_waybel_0(k7_grcat_1(X1),X1,X1)
& v19_waybel_0(k7_grcat_1(X1),X1,X1)
& v18_waybel_0(k7_grcat_1(X1),X1,X1)
& v17_waybel_0(k7_grcat_1(X1),X1,X1)
& v5_orders_3(k7_grcat_1(X1),X1,X1)
& v11_quantal1(k7_grcat_1(X1))
& v1_partfun1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& ~ v1_xboole_0(k7_grcat_1(X1))
& v2_funct_1(k7_grcat_1(X1))
& v1_funct_1(k7_grcat_1(X1))
& v1_relat_1(k7_grcat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+503.ax',fc4_waybel10) ).
fof(dt_k7_grcat_1,axiom,
! [X1] :
( l1_struct_0(X1)
=> ( m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(k7_grcat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+311.ax',dt_k7_grcat_1) ).
fof(fc2_waybel_1,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v23_waybel_0(k7_grcat_1(X1),X1,X1)
& v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(k7_grcat_1(X1))
& v1_relat_1(k7_grcat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+485.ax',fc2_waybel_1) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+218.ax',dt_l1_orders_2) ).
fof(c_0_9,plain,
! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> v3_waybel_1(k1_waybel_1(X1,X1,k7_grcat_1(X1),k7_grcat_1(X1)),X1,X1) ),
inference(fof_simplification,[status(thm)],[t6_waybel34]) ).
fof(c_0_10,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattice3]) ).
fof(c_0_11,negated_conjecture,
~ ! [X1] :
( ( l1_orders_2(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( k2_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
& k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1) ) ),
inference(assume_negation,[status(cth)],[t7_waybel34]) ).
fof(c_0_12,plain,
! [X44,X45,X46,X47] :
( ( ~ l1_orders_2(X44)
| ~ v2_lattice3(X44)
| ~ v1_lattice3(X44)
| ~ v4_orders_2(X44)
| ~ v3_orders_2(X44)
| ~ v2_orders_2(X44)
| ~ l1_orders_2(X45)
| ~ v2_lattice3(X45)
| ~ v1_lattice3(X45)
| ~ v4_orders_2(X45)
| ~ v3_orders_2(X45)
| ~ v2_orders_2(X45)
| ~ m2_relset_1(X46,u1_struct_0(X45),u1_struct_0(X44))
| ~ v1_funct_2(X46,u1_struct_0(X45),u1_struct_0(X44))
| ~ v1_funct_1(X46)
| ~ v18_waybel_0(X46,X45,X44)
| ~ v3_lattice3(X45)
| ~ v3_lattice3(X44)
| ~ m2_relset_1(X47,u1_struct_0(X44),u1_struct_0(X45))
| ~ v1_funct_2(X47,u1_struct_0(X44),u1_struct_0(X45))
| ~ v1_funct_1(X47)
| X47 = k2_waybel34(X44,X45,X46)
| ~ v3_waybel_1(k1_waybel_1(X44,X45,X47,X46),X44,X45) )
& ( ~ l1_orders_2(X44)
| ~ v2_lattice3(X44)
| ~ v1_lattice3(X44)
| ~ v4_orders_2(X44)
| ~ v3_orders_2(X44)
| ~ v2_orders_2(X44)
| ~ l1_orders_2(X45)
| ~ v2_lattice3(X45)
| ~ v1_lattice3(X45)
| ~ v4_orders_2(X45)
| ~ v3_orders_2(X45)
| ~ v2_orders_2(X45)
| ~ m2_relset_1(X46,u1_struct_0(X45),u1_struct_0(X44))
| ~ v1_funct_2(X46,u1_struct_0(X45),u1_struct_0(X44))
| ~ v1_funct_1(X46)
| ~ v18_waybel_0(X46,X45,X44)
| ~ v3_lattice3(X45)
| ~ v3_lattice3(X44)
| ~ m2_relset_1(X47,u1_struct_0(X44),u1_struct_0(X45))
| ~ v1_funct_2(X47,u1_struct_0(X44),u1_struct_0(X45))
| ~ v1_funct_1(X47)
| v3_waybel_1(k1_waybel_1(X44,X45,X47,X46),X44,X45)
| X47 != k2_waybel34(X44,X45,X46) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_waybel34])])])])]) ).
fof(c_0_13,plain,
! [X40] :
( v3_waybel_1(k1_waybel_1(X40,X40,k7_grcat_1(X40),k7_grcat_1(X40)),X40,X40)
| ~ l1_orders_2(X40)
| v3_struct_0(X40) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_14,plain,
! [X67,X68,X69,X70] :
( ( ~ l1_orders_2(X67)
| ~ v2_lattice3(X67)
| ~ v1_lattice3(X67)
| ~ v4_orders_2(X67)
| ~ v3_orders_2(X67)
| ~ v2_orders_2(X67)
| ~ l1_orders_2(X68)
| ~ v2_lattice3(X68)
| ~ v1_lattice3(X68)
| ~ v4_orders_2(X68)
| ~ v3_orders_2(X68)
| ~ v2_orders_2(X68)
| ~ m2_relset_1(X69,u1_struct_0(X67),u1_struct_0(X68))
| ~ v1_funct_2(X69,u1_struct_0(X67),u1_struct_0(X68))
| ~ v1_funct_1(X69)
| ~ v17_waybel_0(X69,X67,X68)
| ~ v3_lattice3(X68)
| ~ v3_lattice3(X67)
| ~ m2_relset_1(X70,u1_struct_0(X68),u1_struct_0(X67))
| ~ v1_funct_2(X70,u1_struct_0(X68),u1_struct_0(X67))
| ~ v1_funct_1(X70)
| X70 = k1_waybel34(X67,X68,X69)
| ~ v3_waybel_1(k1_waybel_1(X67,X68,X69,X70),X67,X68) )
& ( ~ l1_orders_2(X67)
| ~ v2_lattice3(X67)
| ~ v1_lattice3(X67)
| ~ v4_orders_2(X67)
| ~ v3_orders_2(X67)
| ~ v2_orders_2(X67)
| ~ l1_orders_2(X68)
| ~ v2_lattice3(X68)
| ~ v1_lattice3(X68)
| ~ v4_orders_2(X68)
| ~ v3_orders_2(X68)
| ~ v2_orders_2(X68)
| ~ m2_relset_1(X69,u1_struct_0(X67),u1_struct_0(X68))
| ~ v1_funct_2(X69,u1_struct_0(X67),u1_struct_0(X68))
| ~ v1_funct_1(X69)
| ~ v17_waybel_0(X69,X67,X68)
| ~ v3_lattice3(X68)
| ~ v3_lattice3(X67)
| ~ m2_relset_1(X70,u1_struct_0(X68),u1_struct_0(X67))
| ~ v1_funct_2(X70,u1_struct_0(X68),u1_struct_0(X67))
| ~ v1_funct_1(X70)
| v3_waybel_1(k1_waybel_1(X67,X68,X69,X70),X67,X68)
| X70 != k1_waybel34(X67,X68,X69) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_waybel34])])])])]) ).
fof(c_0_15,plain,
! [X1] :
( ( l1_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( v8_waybel_1(k7_grcat_1(X1),X1)
& v7_waybel_1(k7_grcat_1(X1),X1)
& v6_waybel_1(k7_grcat_1(X1),X1)
& v23_waybel_0(k7_grcat_1(X1),X1,X1)
& v22_waybel_0(k7_grcat_1(X1),X1,X1)
& v21_waybel_0(k7_grcat_1(X1),X1,X1)
& v20_waybel_0(k7_grcat_1(X1),X1,X1)
& v19_waybel_0(k7_grcat_1(X1),X1,X1)
& v18_waybel_0(k7_grcat_1(X1),X1,X1)
& v17_waybel_0(k7_grcat_1(X1),X1,X1)
& v5_orders_3(k7_grcat_1(X1),X1,X1)
& v11_quantal1(k7_grcat_1(X1))
& v1_partfun1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& ~ v1_xboole_0(k7_grcat_1(X1))
& v2_funct_1(k7_grcat_1(X1))
& v1_funct_1(k7_grcat_1(X1))
& v1_relat_1(k7_grcat_1(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc4_waybel10]) ).
fof(c_0_16,plain,
! [X85] :
( ~ v3_struct_0(X85)
| ~ v1_lattice3(X85)
| ~ l1_orders_2(X85) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_17,negated_conjecture,
( ( k2_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) != k7_grcat_1(esk1_0)
| k1_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) != k7_grcat_1(esk1_0) )
& l1_orders_2(esk1_0)
& v3_lattice3(esk1_0)
& v2_lattice3(esk1_0)
& v1_lattice3(esk1_0)
& v4_orders_2(esk1_0)
& v3_orders_2(esk1_0)
& v2_orders_2(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
cnf(c_0_18,plain,
( ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v18_waybel_0(X4,X2,X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
| X3 = k2_waybel34(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( ~ l1_orders_2(X1)
| v3_waybel_1(k1_waybel_1(X1,X1,k7_grcat_1(X1),k7_grcat_1(X1)),X1,X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
( ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ v17_waybel_0(X3,X1,X2)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
| X4 = k1_waybel34(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_21,plain,
! [X20] :
( ( ~ l1_struct_0(X20)
| m2_relset_1(k7_grcat_1(X20),u1_struct_0(X20),u1_struct_0(X20)) )
& ( ~ l1_struct_0(X20)
| v1_funct_2(k7_grcat_1(X20),u1_struct_0(X20),u1_struct_0(X20)) )
& ( ~ l1_struct_0(X20)
| v1_funct_1(k7_grcat_1(X20)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_grcat_1])])])]) ).
fof(c_0_22,plain,
! [X3758] :
( ( ~ l1_orders_2(X3758)
| v23_waybel_0(k7_grcat_1(X3758),X3758,X3758) )
& ( ~ l1_orders_2(X3758)
| v1_funct_2(k7_grcat_1(X3758),u1_struct_0(X3758),u1_struct_0(X3758)) )
& ( ~ l1_orders_2(X3758)
| v1_funct_1(k7_grcat_1(X3758)) )
& ( ~ l1_orders_2(X3758)
| v1_relat_1(k7_grcat_1(X3758)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_waybel_1])])])]) ).
fof(c_0_23,plain,
! [X738] :
( ( ~ l1_orders_2(X738)
| ~ v2_orders_2(X738)
| v3_struct_0(X738)
| v8_waybel_1(k7_grcat_1(X738),X738) )
& ( ~ l1_orders_2(X738)
| ~ v2_orders_2(X738)
| v3_struct_0(X738)
| v7_waybel_1(k7_grcat_1(X738),X738) )
& ( ~ l1_orders_2(X738)
| ~ v2_orders_2(X738)
| v3_struct_0(X738)
| v6_waybel_1(k7_grcat_1(X738),X738) )
& ( ~ l1_orders_2(X738)
| ~ v2_orders_2(X738)
| v3_struct_0(X738)
| v23_waybel_0(k7_grcat_1(X738),X738,X738) )
& ( ~ l1_orders_2(X738)
| ~ v2_orders_2(X738)
| v3_struct_0(X738)
| v22_waybel_0(k7_grcat_1(X738),X738,X738) )
& ( ~ l1_orders_2(X738)
| ~ v2_orders_2(X738)
| v3_struct_0(X738)
| v21_waybel_0(k7_grcat_1(X738),X738,X738) )
& ( ~ l1_orders_2(X738)
| ~ v2_orders_2(X738)
| v3_struct_0(X738)
| v20_waybel_0(k7_grcat_1(X738),X738,X738) )
& ( ~ l1_orders_2(X738)
| ~ v2_orders_2(X738)
| v3_struct_0(X738)
| v19_waybel_0(k7_grcat_1(X738),X738,X738) )
& ( ~ l1_orders_2(X738)
| ~ v2_orders_2(X738)
| v3_struct_0(X738)
| v18_waybel_0(k7_grcat_1(X738),X738,X738) )
& ( ~ l1_orders_2(X738)
| ~ v2_orders_2(X738)
| v3_struct_0(X738)
| v17_waybel_0(k7_grcat_1(X738),X738,X738) )
& ( ~ l1_orders_2(X738)
| ~ v2_orders_2(X738)
| v3_struct_0(X738)
| v5_orders_3(k7_grcat_1(X738),X738,X738) )
& ( ~ l1_orders_2(X738)
| ~ v2_orders_2(X738)
| v3_struct_0(X738)
| v11_quantal1(k7_grcat_1(X738)) )
& ( ~ l1_orders_2(X738)
| ~ v2_orders_2(X738)
| v3_struct_0(X738)
| v1_partfun1(k7_grcat_1(X738),u1_struct_0(X738),u1_struct_0(X738)) )
& ( ~ l1_orders_2(X738)
| ~ v2_orders_2(X738)
| v3_struct_0(X738)
| v1_funct_2(k7_grcat_1(X738),u1_struct_0(X738),u1_struct_0(X738)) )
& ( ~ l1_orders_2(X738)
| ~ v2_orders_2(X738)
| v3_struct_0(X738)
| ~ v1_xboole_0(k7_grcat_1(X738)) )
& ( ~ l1_orders_2(X738)
| ~ v2_orders_2(X738)
| v3_struct_0(X738)
| v2_funct_1(k7_grcat_1(X738)) )
& ( ~ l1_orders_2(X738)
| ~ v2_orders_2(X738)
| v3_struct_0(X738)
| v1_funct_1(k7_grcat_1(X738)) )
& ( ~ l1_orders_2(X738)
| ~ v2_orders_2(X738)
| v3_struct_0(X738)
| v1_relat_1(k7_grcat_1(X738)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).
fof(c_0_24,plain,
! [X106] :
( l1_struct_0(X106)
| ~ l1_orders_2(X106) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])])]) ).
cnf(c_0_25,plain,
( ~ v3_struct_0(X1)
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_28,plain,
( ~ v1_funct_1(k7_grcat_1(X1))
| ~ m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ v18_waybel_0(k7_grcat_1(X1),X1,X1)
| v3_struct_0(X1)
| k2_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_29,plain,
( ~ v1_funct_1(k7_grcat_1(X1))
| ~ m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ v17_waybel_0(k7_grcat_1(X1),X1,X1)
| v3_struct_0(X1)
| k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_30,plain,
( ~ l1_struct_0(X1)
| m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,plain,
( ~ l1_orders_2(X1)
| v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,plain,
( ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| v18_waybel_0(k7_grcat_1(X1),X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,plain,
( ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| v17_waybel_0(k7_grcat_1(X1),X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34,plain,
( ~ l1_orders_2(X1)
| v1_funct_1(k7_grcat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_35,plain,
( ~ l1_orders_2(X1)
| l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_36,negated_conjecture,
( k2_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) != k7_grcat_1(esk1_0)
| k1_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) != k7_grcat_1(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_37,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
cnf(c_0_38,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_39,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_40,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_41,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_42,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_43,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_28,c_0_29,c_0_30,c_0_31,c_0_32,c_0_33,c_0_34,c_0_35,c_0_36,c_0_37,c_0_38,c_0_39,c_0_26,c_0_40,c_0_41,c_0_42,c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT356+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n018.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 20 23:50:14 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.51 Running first-order theorem proving
% 0.26/0.51 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
% 203.96/30.45 % Version: 3.5.1
% 203.96/30.45 % Preprocessing class: FMLLSMLLSSSNFFN.
% 203.96/30.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 203.96/30.45 % Starting new_bool_3 with 900s (3) cores
% 203.96/30.45 % Starting new_bool_1 with 900s (3) cores
% 203.96/30.45 % Starting sh5l with 300s (1) cores
% 203.96/30.45 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 203.96/30.45 % new_bool_1 with pid 491437 completed with status 0
% 203.96/30.45 % Result found by new_bool_1
% 203.96/30.45 % Preprocessing class: FMLLSMLLSSSNFFN.
% 203.96/30.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 203.96/30.45 % Starting new_bool_3 with 900s (3) cores
% 203.96/30.45 % Starting new_bool_1 with 900s (3) cores
% 203.96/30.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 203.96/30.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 203.96/30.45 % Search class: FGHSM-SMLM32-MFFFFFNN
% 203.96/30.45 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 203.96/30.45 % Starting SubtermCWHack with 82s (1) cores
% 203.96/30.45 % Starting new_bool_1 with 91s (1) cores
% 203.96/30.45 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 68s (1) cores
% 203.96/30.45 % new_bool_1 with pid 491445 completed with status 0
% 203.96/30.45 % Result found by new_bool_1
% 203.96/30.45 % Preprocessing class: FMLLSMLLSSSNFFN.
% 203.96/30.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 203.96/30.45 % Starting new_bool_3 with 900s (3) cores
% 203.96/30.45 % Starting new_bool_1 with 900s (3) cores
% 203.96/30.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 203.96/30.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 203.96/30.45 % Search class: FGHSM-SMLM32-MFFFFFNN
% 203.96/30.45 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 203.96/30.45 % Starting SubtermCWHack with 82s (1) cores
% 203.96/30.45 % Starting new_bool_1 with 91s (1) cores
% 203.96/30.45 % Preprocessing time : 0.095 s
% 203.96/30.45 % Presaturation interreduction done
% 203.96/30.45 % SatCheck found unsatisfiable ground set
% 203.96/30.45
% 203.96/30.45 % Proof found!
% 203.96/30.45 % SZS status Theorem
% 203.96/30.45 % SZS output start CNFRefutation
% See solution above
% 203.96/30.45 % Parsed axioms : 10341
% 203.96/30.45 % Removed by relevancy pruning/SinE : 8771
% 203.96/30.45 % Initial clauses : 3889
% 203.96/30.45 % Removed in clause preprocessing : 106
% 203.96/30.45 % Initial clauses in saturation : 3783
% 203.96/30.45 % Processed clauses : 94329
% 203.96/30.45 % ...of these trivial : 905
% 203.96/30.45 % ...subsumed : 78424
% 203.96/30.45 % ...remaining for further processing : 15000
% 203.96/30.45 % Other redundant clauses eliminated : 4935
% 203.96/30.45 % Clauses deleted for lack of memory : 0
% 203.96/30.45 % Backward-subsumed : 246
% 203.96/30.45 % Backward-rewritten : 413
% 203.96/30.45 % Generated clauses : 936473
% 203.96/30.45 % ...of the previous two non-redundant : 822647
% 203.96/30.45 % ...aggressively subsumed : 0
% 203.96/30.45 % Contextual simplify-reflections : 454
% 203.96/30.45 % Paramodulations : 931427
% 203.96/30.45 % Factorizations : 41
% 203.96/30.45 % NegExts : 0
% 203.96/30.45 % Equation resolutions : 5007
% 203.96/30.45 % Disequality decompositions : 0
% 203.96/30.45 % Total rewrite steps : 457388
% 203.96/30.45 % ...of those cached : 394388
% 203.96/30.45 % Propositional unsat checks : 3
% 203.96/30.45 % Propositional check models : 1
% 203.96/30.45 % Propositional check unsatisfiable : 1
% 203.96/30.45 % Propositional clauses : 743681
% 203.96/30.45 % Propositional clauses after purity: 94644
% 203.96/30.45 % Propositional unsat core size : 17
% 203.96/30.45 % Propositional preprocessing time : 0.000
% 203.96/30.45 % Propositional encoding time : 1.961
% 203.96/30.45 % Propositional solver time : 0.377
% 203.96/30.45 % Success case prop preproc time : 0.000
% 203.96/30.45 % Success case prop encoding time : 1.622
% 203.96/30.45 % Success case prop solver time : 0.143
% 203.96/30.45 % Current number of processed clauses : 10600
% 203.96/30.45 % Positive orientable unit clauses : 1922
% 203.96/30.45 % Positive unorientable unit clauses: 6
% 203.96/30.45 % Negative unit clauses : 1726
% 203.96/30.45 % Non-unit-clauses : 6946
% 203.96/30.45 % Current number of unprocessed clauses: 733081
% 203.96/30.45 % ...number of literals in the above : 2256989
% 203.96/30.45 % Current number of archived formulas : 0
% 203.96/30.45 % Current number of archived clauses : 4127
% 203.96/30.45 % Clause-clause subsumption calls (NU) : 26141197
% 203.96/30.45 % Rec. Clause-clause subsumption calls : 3342564
% 203.96/30.45 % Non-unit clause-clause subsumptions : 19611
% 203.96/30.45 % Unit Clause-clause subsumption calls : 3202826
% 203.96/30.45 % Rewrite failures with RHS unbound : 3
% 203.96/30.45 % BW rewrite match attempts : 1660
% 203.96/30.45 % BW rewrite match successes : 880
% 203.96/30.45 % Condensation attempts : 0
% 203.96/30.45 % Condensation successes : 0
% 203.96/30.45 % Termbank termtop insertions : 18759058
% 203.96/30.45 % Search garbage collected termcells : 163756
% 203.96/30.45
% 203.96/30.45 % -------------------------------------------------
% 203.96/30.45 % User time : 28.165 s
% 203.96/30.45 % System time : 0.711 s
% 203.96/30.45 % Total time : 28.876 s
% 203.96/30.45 % Maximum resident set size: 34936 pages
% 203.96/30.45
% 203.96/30.45 % -------------------------------------------------
% 203.96/30.45 % User time : 84.676 s
% 203.96/30.45 % System time : 1.701 s
% 203.96/30.45 % Total time : 86.377 s
% 203.96/30.45 % Maximum resident set size: 19968 pages
% 203.96/30.45 % E exiting
%------------------------------------------------------------------------------