%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT356+3 : 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 : 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 241.73s 32.65s
% Output : CNFRefutation 241.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 59 ( 9 unt; 0 def)
% Number of atoms : 411 ( 19 equ)
% Maximal formula atoms : 46 ( 6 avg)
% Number of connectives : 585 ( 233 ~; 226 |; 89 &)
% ( 2 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-4 aty)
% Number of variables : 70 ( 0 sgn 45 !; 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/sandbox2/benchmark/theBenchmark.p',t6_waybel34) ).
fof(t12_lattice3,axiom,
! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( v3_lattice3(X1)
=> ( v2_lattice3(X1)
& v1_lattice3(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+335.ax',t12_lattice3) ).
fof(cc1_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',d2_waybel34) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+485.ax',fc2_waybel_1) ).
fof(t3_waybel22,axiom,
! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> v17_waybel_0(k7_grcat_1(X1),X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+561.ax',t3_waybel22) ).
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/sandbox2/benchmark/theBenchmark.p',d1_waybel34) ).
fof(t20_waybel13,axiom,
! [X1] :
( ( l1_orders_2(X1)
& v4_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& v4_orders_2(X2)
& ~ v3_struct_0(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) )
=> ( v23_waybel_0(X3,X1,X2)
=> ( v18_waybel_0(X3,X1,X2)
& v17_waybel_0(X3,X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+509.ax',t20_waybel13) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+311.ax',dt_k7_grcat_1) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+218.ax',dt_l1_orders_2) ).
fof(c_0_11,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_12,plain,
! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( v3_lattice3(X1)
=> ( v2_lattice3(X1)
& v1_lattice3(X1) ) ) ),
inference(fof_simplification,[status(thm)],[t12_lattice3]) ).
fof(c_0_13,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattice3]) ).
fof(c_0_14,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_15,plain,
! [X38,X39,X40,X41] :
( ( ~ l1_orders_2(X38)
| ~ v2_lattice3(X38)
| ~ v1_lattice3(X38)
| ~ v4_orders_2(X38)
| ~ v3_orders_2(X38)
| ~ v2_orders_2(X38)
| ~ l1_orders_2(X39)
| ~ v2_lattice3(X39)
| ~ v1_lattice3(X39)
| ~ v4_orders_2(X39)
| ~ v3_orders_2(X39)
| ~ v2_orders_2(X39)
| ~ m2_relset_1(X40,u1_struct_0(X39),u1_struct_0(X38))
| ~ v1_funct_2(X40,u1_struct_0(X39),u1_struct_0(X38))
| ~ v1_funct_1(X40)
| ~ v18_waybel_0(X40,X39,X38)
| ~ v3_lattice3(X39)
| ~ v3_lattice3(X38)
| ~ m2_relset_1(X41,u1_struct_0(X38),u1_struct_0(X39))
| ~ v1_funct_2(X41,u1_struct_0(X38),u1_struct_0(X39))
| ~ v1_funct_1(X41)
| X41 = k2_waybel34(X38,X39,X40)
| ~ v3_waybel_1(k1_waybel_1(X38,X39,X41,X40),X38,X39) )
& ( ~ l1_orders_2(X38)
| ~ v2_lattice3(X38)
| ~ v1_lattice3(X38)
| ~ v4_orders_2(X38)
| ~ v3_orders_2(X38)
| ~ v2_orders_2(X38)
| ~ l1_orders_2(X39)
| ~ v2_lattice3(X39)
| ~ v1_lattice3(X39)
| ~ v4_orders_2(X39)
| ~ v3_orders_2(X39)
| ~ v2_orders_2(X39)
| ~ m2_relset_1(X40,u1_struct_0(X39),u1_struct_0(X38))
| ~ v1_funct_2(X40,u1_struct_0(X39),u1_struct_0(X38))
| ~ v1_funct_1(X40)
| ~ v18_waybel_0(X40,X39,X38)
| ~ v3_lattice3(X39)
| ~ v3_lattice3(X38)
| ~ m2_relset_1(X41,u1_struct_0(X38),u1_struct_0(X39))
| ~ v1_funct_2(X41,u1_struct_0(X38),u1_struct_0(X39))
| ~ v1_funct_1(X41)
| v3_waybel_1(k1_waybel_1(X38,X39,X41,X40),X38,X39)
| X41 != k2_waybel34(X38,X39,X40) ) ),
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_16,plain,
! [X664] :
( v3_waybel_1(k1_waybel_1(X664,X664,k7_grcat_1(X664),k7_grcat_1(X664)),X664,X664)
| ~ l1_orders_2(X664)
| v3_struct_0(X664) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_17,plain,
! [X24] :
( ( ~ l1_orders_2(X24)
| v23_waybel_0(k7_grcat_1(X24),X24,X24) )
& ( ~ l1_orders_2(X24)
| v1_funct_2(k7_grcat_1(X24),u1_struct_0(X24),u1_struct_0(X24)) )
& ( ~ l1_orders_2(X24)
| v1_funct_1(k7_grcat_1(X24)) )
& ( ~ l1_orders_2(X24)
| v1_relat_1(k7_grcat_1(X24)) ) ),
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_18,plain,
! [X70] :
( ( ~ l1_orders_2(X70)
| v3_struct_0(X70)
| ~ v3_lattice3(X70)
| v2_lattice3(X70) )
& ( ~ l1_orders_2(X70)
| v3_struct_0(X70)
| ~ v3_lattice3(X70)
| v1_lattice3(X70) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
fof(c_0_19,plain,
! [X73] :
( ~ v3_struct_0(X73)
| ~ v1_lattice3(X73)
| ~ l1_orders_2(X73) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_20,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_14])])])]) ).
fof(c_0_21,plain,
! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> v17_waybel_0(k7_grcat_1(X1),X1,X1) ),
inference(fof_simplification,[status(thm)],[t3_waybel22]) ).
cnf(c_0_22,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_15]) ).
cnf(c_0_23,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_16]) ).
cnf(c_0_24,plain,
( ~ l1_orders_2(X1)
| v1_funct_1(k7_grcat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,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_17]) ).
cnf(c_0_26,plain,
( ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| v3_struct_0(X1)
| v1_lattice3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,plain,
( ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| v3_struct_0(X1)
| v2_lattice3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,plain,
( ~ v3_struct_0(X1)
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_31,plain,
! [X55,X56,X57,X58] :
( ( ~ l1_orders_2(X55)
| ~ v2_lattice3(X55)
| ~ v1_lattice3(X55)
| ~ v4_orders_2(X55)
| ~ v3_orders_2(X55)
| ~ v2_orders_2(X55)
| ~ l1_orders_2(X56)
| ~ v2_lattice3(X56)
| ~ v1_lattice3(X56)
| ~ v4_orders_2(X56)
| ~ v3_orders_2(X56)
| ~ v2_orders_2(X56)
| ~ m2_relset_1(X57,u1_struct_0(X55),u1_struct_0(X56))
| ~ v1_funct_2(X57,u1_struct_0(X55),u1_struct_0(X56))
| ~ v1_funct_1(X57)
| ~ v17_waybel_0(X57,X55,X56)
| ~ v3_lattice3(X56)
| ~ v3_lattice3(X55)
| ~ m2_relset_1(X58,u1_struct_0(X56),u1_struct_0(X55))
| ~ v1_funct_2(X58,u1_struct_0(X56),u1_struct_0(X55))
| ~ v1_funct_1(X58)
| X58 = k1_waybel34(X55,X56,X57)
| ~ v3_waybel_1(k1_waybel_1(X55,X56,X57,X58),X55,X56) )
& ( ~ l1_orders_2(X55)
| ~ v2_lattice3(X55)
| ~ v1_lattice3(X55)
| ~ v4_orders_2(X55)
| ~ v3_orders_2(X55)
| ~ v2_orders_2(X55)
| ~ l1_orders_2(X56)
| ~ v2_lattice3(X56)
| ~ v1_lattice3(X56)
| ~ v4_orders_2(X56)
| ~ v3_orders_2(X56)
| ~ v2_orders_2(X56)
| ~ m2_relset_1(X57,u1_struct_0(X55),u1_struct_0(X56))
| ~ v1_funct_2(X57,u1_struct_0(X55),u1_struct_0(X56))
| ~ v1_funct_1(X57)
| ~ v17_waybel_0(X57,X55,X56)
| ~ v3_lattice3(X56)
| ~ v3_lattice3(X55)
| ~ m2_relset_1(X58,u1_struct_0(X56),u1_struct_0(X55))
| ~ v1_funct_2(X58,u1_struct_0(X56),u1_struct_0(X55))
| ~ v1_funct_1(X58)
| v3_waybel_1(k1_waybel_1(X55,X56,X57,X58),X55,X56)
| X58 != k1_waybel34(X55,X56,X57) ) ),
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_32,plain,
! [X33] :
( v17_waybel_0(k7_grcat_1(X33),X33,X33)
| ~ l1_orders_2(X33)
| v3_struct_0(X33) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
cnf(c_0_33,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_20]) ).
cnf(c_0_34,plain,
( ~ m2_relset_1(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)
| ~ 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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]) ).
cnf(c_0_35,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_36,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_37,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_38,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_39,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
cnf(c_0_40,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_31]) ).
cnf(c_0_41,plain,
( ~ l1_orders_2(X1)
| v17_waybel_0(k7_grcat_1(X1),X1,X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_42,plain,
! [X1] :
( ( l1_orders_2(X1)
& v4_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& v4_orders_2(X2)
& ~ v3_struct_0(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) )
=> ( v23_waybel_0(X3,X1,X2)
=> ( v18_waybel_0(X3,X1,X2)
& v17_waybel_0(X3,X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t20_waybel13]) ).
cnf(c_0_43,negated_conjecture,
( ~ m2_relset_1(k7_grcat_1(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ v18_waybel_0(k7_grcat_1(esk1_0),esk1_0,esk1_0)
| k1_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) != k7_grcat_1(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_30])]),c_0_39]) ).
cnf(c_0_44,plain,
( ~ m2_relset_1(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)
| ~ v3_lattice3(X1)
| v3_struct_0(X1)
| k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_41]) ).
fof(c_0_45,plain,
! [X351,X352,X353] :
( ( ~ l1_orders_2(X351)
| ~ v4_orders_2(X351)
| v3_struct_0(X351)
| ~ l1_orders_2(X352)
| ~ v4_orders_2(X352)
| v3_struct_0(X352)
| ~ m2_relset_1(X353,u1_struct_0(X351),u1_struct_0(X352))
| ~ v1_funct_2(X353,u1_struct_0(X351),u1_struct_0(X352))
| ~ v1_funct_1(X353)
| ~ v23_waybel_0(X353,X351,X352)
| v18_waybel_0(X353,X351,X352) )
& ( ~ l1_orders_2(X351)
| ~ v4_orders_2(X351)
| v3_struct_0(X351)
| ~ l1_orders_2(X352)
| ~ v4_orders_2(X352)
| v3_struct_0(X352)
| ~ m2_relset_1(X353,u1_struct_0(X351),u1_struct_0(X352))
| ~ v1_funct_2(X353,u1_struct_0(X351),u1_struct_0(X352))
| ~ v1_funct_1(X353)
| ~ v23_waybel_0(X353,X351,X352)
| v17_waybel_0(X353,X351,X352) ) ),
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_42])])])])]) ).
cnf(c_0_46,negated_conjecture,
( ~ m2_relset_1(k7_grcat_1(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ v18_waybel_0(k7_grcat_1(esk1_0),esk1_0,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_30])]),c_0_39]) ).
cnf(c_0_47,plain,
( ~ l1_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| ~ v23_waybel_0(X1,X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| v18_waybel_0(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_48,negated_conjecture,
( ~ v1_funct_1(k7_grcat_1(esk1_0))
| ~ m2_relset_1(k7_grcat_1(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ v1_funct_2(k7_grcat_1(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ v23_waybel_0(k7_grcat_1(esk1_0),esk1_0,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_36]),c_0_30])]),c_0_39]) ).
cnf(c_0_49,plain,
( ~ l1_orders_2(X1)
| v23_waybel_0(k7_grcat_1(X1),X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_50,plain,
! [X22] :
( ( ~ l1_struct_0(X22)
| m2_relset_1(k7_grcat_1(X22),u1_struct_0(X22),u1_struct_0(X22)) )
& ( ~ l1_struct_0(X22)
| v1_funct_2(k7_grcat_1(X22),u1_struct_0(X22),u1_struct_0(X22)) )
& ( ~ l1_struct_0(X22)
| v1_funct_1(k7_grcat_1(X22)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_grcat_1])])])]) ).
cnf(c_0_51,negated_conjecture,
( ~ v1_funct_1(k7_grcat_1(esk1_0))
| ~ m2_relset_1(k7_grcat_1(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ v1_funct_2(k7_grcat_1(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_30])]) ).
cnf(c_0_52,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_50]) ).
cnf(c_0_53,plain,
( ~ l1_struct_0(X1)
| v1_funct_1(k7_grcat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_54,plain,
( ~ l1_struct_0(X1)
| v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
fof(c_0_55,plain,
! [X100] :
( l1_struct_0(X100)
| ~ l1_orders_2(X100) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])])]) ).
cnf(c_0_56,negated_conjecture,
~ l1_struct_0(esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_54]) ).
cnf(c_0_57,plain,
( ~ l1_orders_2(X1)
| l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_58,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT356+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n018.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 20 23:50:00 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.50 Running first-order theorem proving
% 0.24/0.50 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
% 241.73/32.65 % Version: 3.5.1
% 241.73/32.65 % Preprocessing class: FMLLSMLLSSSNFFN.
% 241.73/32.65 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 241.73/32.65 % Starting new_bool_3 with 897s (3) cores
% 241.73/32.65 % Starting new_bool_1 with 897s (3) cores
% 241.73/32.65 % Starting sh5l with 299s (1) cores
% 241.73/32.65 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 299s (1) cores
% 241.73/32.65 % G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 490593 completed with status 0
% 241.73/32.65 % Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y
% 241.73/32.65 % Preprocessing class: FMLLSMLLSSSNFFN.
% 241.73/32.65 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 241.73/32.65 % Starting new_bool_3 with 897s (3) cores
% 241.73/32.65 % Starting new_bool_1 with 897s (3) cores
% 241.73/32.65 % Starting sh5l with 299s (1) cores
% 241.73/32.65 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 299s (1) cores
% 241.73/32.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 241.73/32.65 % SinE strategy is gf120_gu_R02_F100_L20000
% 241.73/32.65 % Search class: FGHSM-FMLM32-MFFFFFNN
% 241.73/32.65 % partial match(1): FGHSM-SMLM32-MFFFFFNN
% 241.73/32.65 % Scheduled 13 strats onto 1 cores with 299 seconds (299 total)
% 241.73/32.65 % Starting SubtermCWHack with 27s (1) cores
% 241.73/32.65 % SubtermCWHack with pid 490594 completed with status 8
% 241.73/32.65 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 30s (1) cores
% 241.73/32.65 % G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 491448 completed with status 0
% 241.73/32.65 % Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y
% 241.73/32.65 % Preprocessing class: FMLLSMLLSSSNFFN.
% 241.73/32.65 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 241.73/32.65 % Starting new_bool_3 with 897s (3) cores
% 241.73/32.65 % Starting new_bool_1 with 897s (3) cores
% 241.73/32.65 % Starting sh5l with 299s (1) cores
% 241.73/32.65 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 299s (1) cores
% 241.73/32.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 241.73/32.65 % SinE strategy is gf120_gu_R02_F100_L20000
% 241.73/32.65 % Search class: FGHSM-FMLM32-MFFFFFNN
% 241.73/32.65 % partial match(1): FGHSM-SMLM32-MFFFFFNN
% 241.73/32.65 % Scheduled 13 strats onto 1 cores with 299 seconds (299 total)
% 241.73/32.65 % Starting SubtermCWHack with 27s (1) cores
% 241.73/32.65 % SubtermCWHack with pid 490594 completed with status 8
% 241.73/32.65 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 30s (1) cores
% 241.73/32.65 % Preprocessing time : 0.111 s
% 241.73/32.65
% 241.73/32.65 % Proof found!
% 241.73/32.65 % SZS status Theorem
% 241.73/32.65 % SZS output start CNFRefutation
% See solution above
% 241.73/32.65 % Parsed axioms : 18920
% 241.73/32.65 % Removed by relevancy pruning/SinE : 18621
% 241.73/32.65 % Initial clauses : 817
% 241.73/32.65 % Removed in clause preprocessing : 48
% 241.73/32.65 % Initial clauses in saturation : 769
% 241.73/32.65 % Processed clauses : 1604
% 241.73/32.65 % ...of these trivial : 19
% 241.73/32.65 % ...subsumed : 380
% 241.73/32.65 % ...remaining for further processing : 1205
% 241.73/32.65 % Other redundant clauses eliminated : 21
% 241.73/32.65 % Clauses deleted for lack of memory : 0
% 241.73/32.65 % Backward-subsumed : 29
% 241.73/32.65 % Backward-rewritten : 71
% 241.73/32.65 % Generated clauses : 7469
% 241.73/32.65 % ...of the previous two non-redundant : 6508
% 241.73/32.65 % ...aggressively subsumed : 0
% 241.73/32.65 % Contextual simplify-reflections : 141
% 241.73/32.65 % Paramodulations : 7414
% 241.73/32.65 % Factorizations : 0
% 241.73/32.65 % NegExts : 0
% 241.73/32.65 % Equation resolutions : 57
% 241.73/32.65 % Disequality decompositions : 0
% 241.73/32.65 % Total rewrite steps : 2656
% 241.73/32.65 % ...of those cached : 2486
% 241.73/32.65 % Propositional unsat checks : 0
% 241.73/32.65 % Propositional check models : 0
% 241.73/32.65 % Propositional check unsatisfiable : 0
% 241.73/32.65 % Propositional clauses : 0
% 241.73/32.65 % Propositional clauses after purity: 0
% 241.73/32.65 % Propositional unsat core size : 0
% 241.73/32.65 % Propositional preprocessing time : 0.000
% 241.73/32.65 % Propositional encoding time : 0.000
% 241.73/32.65 % Propositional solver time : 0.000
% 241.73/32.65 % Success case prop preproc time : 0.000
% 241.73/32.65 % Success case prop encoding time : 0.000
% 241.73/32.65 % Success case prop solver time : 0.000
% 241.73/32.65 % Current number of processed clauses : 1093
% 241.73/32.65 % Positive orientable unit clauses : 75
% 241.73/32.65 % Positive unorientable unit clauses: 0
% 241.73/32.65 % Negative unit clauses : 7
% 241.73/32.65 % Non-unit-clauses : 1011
% 241.73/32.65 % Current number of unprocessed clauses: 5435
% 241.73/32.65 % ...number of literals in the above : 72946
% 241.73/32.65 % Current number of archived formulas : 0
% 241.73/32.65 % Current number of archived clauses : 100
% 241.73/32.65 % Clause-clause subsumption calls (NU) : 648350
% 241.73/32.65 % Rec. Clause-clause subsumption calls : 11350
% 241.73/32.65 % Non-unit clause-clause subsumptions : 533
% 241.73/32.65 % Unit Clause-clause subsumption calls : 26634
% 241.73/32.65 % Rewrite failures with RHS unbound : 0
% 241.73/32.65 % BW rewrite match attempts : 17
% 241.73/32.65 % BW rewrite match successes : 17
% 241.73/32.65 % Condensation attempts : 0
% 241.73/32.65 % Condensation successes : 0
% 241.73/32.65 % Termbank termtop insertions : 939361
% 241.73/32.65 % Search garbage collected termcells : 197654
% 241.73/32.65
% 241.73/32.65 % -------------------------------------------------
% 241.73/32.65 % User time : 28.215 s
% 241.73/32.65 % System time : 0.839 s
% 241.73/32.65 % Total time : 29.054 s
% 241.73/32.65 % Maximum resident set size: 40200 pages
% 241.73/32.65
% 241.73/32.65 % -------------------------------------------------
% 241.73/32.65 % User time : 29.381 s
% 241.73/32.65 % System time : 0.921 s
% 241.73/32.65 % Total time : 30.302 s
% 241.73/32.65 % Maximum resident set size: 32512 pages
% 241.73/32.65 % E exiting
%------------------------------------------------------------------------------