%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT356+4 : 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 : n015.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 254.59s 48.26s
% Output : CNFRefutation 254.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 46 ( 10 unt; 0 def)
% Number of atoms : 425 ( 18 equ)
% Maximal formula atoms : 72 ( 9 avg)
% Number of connectives : 606 ( 227 ~; 235 |; 118 &)
% ( 2 <=>; 24 =>; 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 : 52 ( 0 sgn 34 !; 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(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(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(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/sandbox2/benchmark/Axioms/SET007/SET007+503.ax',fc4_waybel10) ).
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(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(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(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,
! [X85,X86,X87,X88] :
( ( ~ l1_orders_2(X85)
| ~ v2_lattice3(X85)
| ~ v1_lattice3(X85)
| ~ v4_orders_2(X85)
| ~ v3_orders_2(X85)
| ~ v2_orders_2(X85)
| ~ l1_orders_2(X86)
| ~ v2_lattice3(X86)
| ~ v1_lattice3(X86)
| ~ v4_orders_2(X86)
| ~ v3_orders_2(X86)
| ~ v2_orders_2(X86)
| ~ m2_relset_1(X87,u1_struct_0(X86),u1_struct_0(X85))
| ~ v1_funct_2(X87,u1_struct_0(X86),u1_struct_0(X85))
| ~ v1_funct_1(X87)
| ~ v18_waybel_0(X87,X86,X85)
| ~ v3_lattice3(X86)
| ~ v3_lattice3(X85)
| ~ m2_relset_1(X88,u1_struct_0(X85),u1_struct_0(X86))
| ~ v1_funct_2(X88,u1_struct_0(X85),u1_struct_0(X86))
| ~ v1_funct_1(X88)
| X88 = k2_waybel34(X85,X86,X87)
| ~ v3_waybel_1(k1_waybel_1(X85,X86,X88,X87),X85,X86) )
& ( ~ l1_orders_2(X85)
| ~ v2_lattice3(X85)
| ~ v1_lattice3(X85)
| ~ v4_orders_2(X85)
| ~ v3_orders_2(X85)
| ~ v2_orders_2(X85)
| ~ l1_orders_2(X86)
| ~ v2_lattice3(X86)
| ~ v1_lattice3(X86)
| ~ v4_orders_2(X86)
| ~ v3_orders_2(X86)
| ~ v2_orders_2(X86)
| ~ m2_relset_1(X87,u1_struct_0(X86),u1_struct_0(X85))
| ~ v1_funct_2(X87,u1_struct_0(X86),u1_struct_0(X85))
| ~ v1_funct_1(X87)
| ~ v18_waybel_0(X87,X86,X85)
| ~ v3_lattice3(X86)
| ~ v3_lattice3(X85)
| ~ m2_relset_1(X88,u1_struct_0(X85),u1_struct_0(X86))
| ~ v1_funct_2(X88,u1_struct_0(X85),u1_struct_0(X86))
| ~ v1_funct_1(X88)
| v3_waybel_1(k1_waybel_1(X85,X86,X88,X87),X85,X86)
| X88 != k2_waybel34(X85,X86,X87) ) ),
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,
! [X1258] :
( v3_waybel_1(k1_waybel_1(X1258,X1258,k7_grcat_1(X1258),k7_grcat_1(X1258)),X1258,X1258)
| ~ l1_orders_2(X1258)
| v3_struct_0(X1258) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_14,plain,
! [X102,X103,X104,X105] :
( ( ~ l1_orders_2(X102)
| ~ v2_lattice3(X102)
| ~ v1_lattice3(X102)
| ~ v4_orders_2(X102)
| ~ v3_orders_2(X102)
| ~ v2_orders_2(X102)
| ~ l1_orders_2(X103)
| ~ v2_lattice3(X103)
| ~ v1_lattice3(X103)
| ~ v4_orders_2(X103)
| ~ v3_orders_2(X103)
| ~ v2_orders_2(X103)
| ~ m2_relset_1(X104,u1_struct_0(X102),u1_struct_0(X103))
| ~ v1_funct_2(X104,u1_struct_0(X102),u1_struct_0(X103))
| ~ v1_funct_1(X104)
| ~ v17_waybel_0(X104,X102,X103)
| ~ v3_lattice3(X103)
| ~ v3_lattice3(X102)
| ~ m2_relset_1(X105,u1_struct_0(X103),u1_struct_0(X102))
| ~ v1_funct_2(X105,u1_struct_0(X103),u1_struct_0(X102))
| ~ v1_funct_1(X105)
| X105 = k1_waybel34(X102,X103,X104)
| ~ v3_waybel_1(k1_waybel_1(X102,X103,X104,X105),X102,X103) )
& ( ~ l1_orders_2(X102)
| ~ v2_lattice3(X102)
| ~ v1_lattice3(X102)
| ~ v4_orders_2(X102)
| ~ v3_orders_2(X102)
| ~ v2_orders_2(X102)
| ~ l1_orders_2(X103)
| ~ v2_lattice3(X103)
| ~ v1_lattice3(X103)
| ~ v4_orders_2(X103)
| ~ v3_orders_2(X103)
| ~ v2_orders_2(X103)
| ~ m2_relset_1(X104,u1_struct_0(X102),u1_struct_0(X103))
| ~ v1_funct_2(X104,u1_struct_0(X102),u1_struct_0(X103))
| ~ v1_funct_1(X104)
| ~ v17_waybel_0(X104,X102,X103)
| ~ v3_lattice3(X103)
| ~ v3_lattice3(X102)
| ~ m2_relset_1(X105,u1_struct_0(X103),u1_struct_0(X102))
| ~ v1_funct_2(X105,u1_struct_0(X103),u1_struct_0(X102))
| ~ v1_funct_1(X105)
| v3_waybel_1(k1_waybel_1(X102,X103,X104,X105),X102,X103)
| X105 != k1_waybel34(X102,X103,X104) ) ),
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,
! [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]) ).
fof(c_0_17,plain,
! [X121] :
( ~ v3_struct_0(X121)
| ~ v1_lattice3(X121)
| ~ l1_orders_2(X121) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_18,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])])])]) ).
fof(c_0_19,plain,
! [X151] :
( l1_struct_0(X151)
| ~ l1_orders_2(X151) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])])]) ).
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(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_21,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_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(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_23,plain,
! [X59] :
( ( ~ l1_struct_0(X59)
| m2_relset_1(k7_grcat_1(X59),u1_struct_0(X59),u1_struct_0(X59)) )
& ( ~ l1_struct_0(X59)
| v1_funct_2(k7_grcat_1(X59),u1_struct_0(X59),u1_struct_0(X59)) )
& ( ~ l1_struct_0(X59)
| v1_funct_1(k7_grcat_1(X59)) ) ),
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_24,plain,
! [X1336] :
( ( ~ l1_orders_2(X1336)
| ~ v2_orders_2(X1336)
| v3_struct_0(X1336)
| v8_waybel_1(k7_grcat_1(X1336),X1336) )
& ( ~ l1_orders_2(X1336)
| ~ v2_orders_2(X1336)
| v3_struct_0(X1336)
| v7_waybel_1(k7_grcat_1(X1336),X1336) )
& ( ~ l1_orders_2(X1336)
| ~ v2_orders_2(X1336)
| v3_struct_0(X1336)
| v6_waybel_1(k7_grcat_1(X1336),X1336) )
& ( ~ l1_orders_2(X1336)
| ~ v2_orders_2(X1336)
| v3_struct_0(X1336)
| v23_waybel_0(k7_grcat_1(X1336),X1336,X1336) )
& ( ~ l1_orders_2(X1336)
| ~ v2_orders_2(X1336)
| v3_struct_0(X1336)
| v22_waybel_0(k7_grcat_1(X1336),X1336,X1336) )
& ( ~ l1_orders_2(X1336)
| ~ v2_orders_2(X1336)
| v3_struct_0(X1336)
| v21_waybel_0(k7_grcat_1(X1336),X1336,X1336) )
& ( ~ l1_orders_2(X1336)
| ~ v2_orders_2(X1336)
| v3_struct_0(X1336)
| v20_waybel_0(k7_grcat_1(X1336),X1336,X1336) )
& ( ~ l1_orders_2(X1336)
| ~ v2_orders_2(X1336)
| v3_struct_0(X1336)
| v19_waybel_0(k7_grcat_1(X1336),X1336,X1336) )
& ( ~ l1_orders_2(X1336)
| ~ v2_orders_2(X1336)
| v3_struct_0(X1336)
| v18_waybel_0(k7_grcat_1(X1336),X1336,X1336) )
& ( ~ l1_orders_2(X1336)
| ~ v2_orders_2(X1336)
| v3_struct_0(X1336)
| v17_waybel_0(k7_grcat_1(X1336),X1336,X1336) )
& ( ~ l1_orders_2(X1336)
| ~ v2_orders_2(X1336)
| v3_struct_0(X1336)
| v5_orders_3(k7_grcat_1(X1336),X1336,X1336) )
& ( ~ l1_orders_2(X1336)
| ~ v2_orders_2(X1336)
| v3_struct_0(X1336)
| v11_quantal1(k7_grcat_1(X1336)) )
& ( ~ l1_orders_2(X1336)
| ~ v2_orders_2(X1336)
| v3_struct_0(X1336)
| v1_partfun1(k7_grcat_1(X1336),u1_struct_0(X1336),u1_struct_0(X1336)) )
& ( ~ l1_orders_2(X1336)
| ~ v2_orders_2(X1336)
| v3_struct_0(X1336)
| v1_funct_2(k7_grcat_1(X1336),u1_struct_0(X1336),u1_struct_0(X1336)) )
& ( ~ l1_orders_2(X1336)
| ~ v2_orders_2(X1336)
| v3_struct_0(X1336)
| ~ v1_xboole_0(k7_grcat_1(X1336)) )
& ( ~ l1_orders_2(X1336)
| ~ v2_orders_2(X1336)
| v3_struct_0(X1336)
| v2_funct_1(k7_grcat_1(X1336)) )
& ( ~ l1_orders_2(X1336)
| ~ v2_orders_2(X1336)
| v3_struct_0(X1336)
| v1_funct_1(k7_grcat_1(X1336)) )
& ( ~ l1_orders_2(X1336)
| ~ v2_orders_2(X1336)
| v3_struct_0(X1336)
| v1_relat_1(k7_grcat_1(X1336)) ) ),
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_25,plain,
! [X1307] :
( v17_waybel_0(k7_grcat_1(X1307),X1307,X1307)
| ~ l1_orders_2(X1307)
| v3_struct_0(X1307) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
cnf(c_0_26,plain,
( ~ v3_struct_0(X1)
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29,plain,
( ~ l1_orders_2(X1)
| l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,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_20,c_0_21]) ).
cnf(c_0_31,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_22,c_0_21]) ).
cnf(c_0_32,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_23]) ).
cnf(c_0_33,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_23]) ).
cnf(c_0_34,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_24]) ).
cnf(c_0_35,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_25]) ).
cnf(c_0_36,plain,
( ~ l1_struct_0(X1)
| v1_funct_1(k7_grcat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_37,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_18]) ).
cnf(c_0_38,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
cnf(c_0_39,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_29,c_0_28]) ).
cnf(c_0_40,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_41,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_42,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_43,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_44,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_45,plain,
$false,
inference(cdclpropres,[status(thm)],[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_40,c_0_41,c_0_27,c_0_42,c_0_43,c_0_44,c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT356+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/5.39 % Computer : n015.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Sun Sep 20 23:51:47 UTC 2026
% 0.17/5.40 % CPUTime :
% 0.17/5.40 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/5.45 Running first-order theorem proving
% 0.17/5.45 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
% 254.59/48.26 % Version: 3.5.1
% 254.59/48.26 % Preprocessing class: FMLLMLLLSSSNFFN.
% 254.59/48.26 % Scheduled 4 strats onto 8 cores with 295 seconds (2360 total)
% 254.59/48.26 % Starting new_bool_3 with 885s (3) cores
% 254.59/48.26 % Starting new_bool_1 with 885s (3) cores
% 254.59/48.26 % Starting sh5l with 295s (1) cores
% 254.59/48.26 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 295s (1) cores
% 254.59/48.26 % G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 71896 completed with status 0
% 254.59/48.26 % Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 254.59/48.26 % Preprocessing class: FMLLMLLLSSSNFFN.
% 254.59/48.26 % Scheduled 4 strats onto 8 cores with 295 seconds (2360 total)
% 254.59/48.26 % Starting new_bool_3 with 885s (3) cores
% 254.59/48.26 % Starting new_bool_1 with 885s (3) cores
% 254.59/48.26 % Starting sh5l with 295s (1) cores
% 254.59/48.26 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 295s (1) cores
% 254.59/48.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 254.59/48.26 % SinE strategy is gf120_h_gu_R02_F100_L20000
% 254.59/48.26 % Search class: FGHSM-SMLM32-MFFFFFNN
% 254.59/48.26 % Scheduled 13 strats onto 1 cores with 294 seconds (294 total)
% 254.59/48.26 % Starting SubtermCWHack with 27s (1) cores
% 254.59/48.26 % SubtermCWHack with pid 71898 completed with status 8
% 254.59/48.26 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 30s (1) cores
% 254.59/48.26 % G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 71908 completed with status 0
% 254.59/48.26 % Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 254.59/48.26 % Preprocessing class: FMLLMLLLSSSNFFN.
% 254.59/48.26 % Scheduled 4 strats onto 8 cores with 295 seconds (2360 total)
% 254.59/48.26 % Starting new_bool_3 with 885s (3) cores
% 254.59/48.26 % Starting new_bool_1 with 885s (3) cores
% 254.59/48.26 % Starting sh5l with 295s (1) cores
% 254.59/48.26 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 295s (1) cores
% 254.59/48.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 254.59/48.26 % SinE strategy is gf120_h_gu_R02_F100_L20000
% 254.59/48.26 % Search class: FGHSM-SMLM32-MFFFFFNN
% 254.59/48.26 % Scheduled 13 strats onto 1 cores with 294 seconds (294 total)
% 254.59/48.26 % Starting SubtermCWHack with 27s (1) cores
% 254.59/48.26 % SubtermCWHack with pid 71898 completed with status 8
% 254.59/48.26 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 30s (1) cores
% 254.59/48.26 % Preprocessing time : 0.080 s
% 254.59/48.26 % SatCheck found unsatisfiable ground set
% 254.59/48.26
% 254.59/48.26 % Proof found!
% 254.59/48.26 % SZS status Theorem
% 254.59/48.26 % SZS output start CNFRefutation
% See solution above
% 254.59/48.26 % Parsed axioms : 55701
% 254.59/48.26 % Removed by relevancy pruning/SinE : 55194
% 254.59/48.26 % Initial clauses : 1328
% 254.59/48.26 % Removed in clause preprocessing : 69
% 254.59/48.26 % Initial clauses in saturation : 1259
% 254.59/48.26 % Processed clauses : 21588
% 254.59/48.26 % ...of these trivial : 114
% 254.59/48.26 % ...subsumed : 16474
% 254.59/48.26 % ...remaining for further processing : 5000
% 254.59/48.26 % Other redundant clauses eliminated : 1029
% 254.59/48.26 % Clauses deleted for lack of memory : 0
% 254.59/48.26 % Backward-subsumed : 215
% 254.59/48.26 % Backward-rewritten : 178
% 254.59/48.26 % Generated clauses : 162425
% 254.59/48.26 % ...of the previous two non-redundant : 129308
% 254.59/48.26 % ...aggressively subsumed : 0
% 254.59/48.26 % Contextual simplify-reflections : 974
% 254.59/48.26 % Paramodulations : 161301
% 254.59/48.26 % Factorizations : 0
% 254.59/48.26 % NegExts : 0
% 254.59/48.26 % Equation resolutions : 1137
% 254.59/48.26 % Disequality decompositions : 0
% 254.59/48.26 % Total rewrite steps : 97911
% 254.59/48.26 % ...of those cached : 96270
% 254.59/48.26 % Propositional unsat checks : 1
% 254.59/48.26 % Propositional check models : 0
% 254.59/48.26 % Propositional check unsatisfiable : 1
% 254.59/48.26 % Propositional clauses : 111937
% 254.59/48.26 % Propositional clauses after purity: 9819
% 254.59/48.26 % Propositional unsat core size : 17
% 254.59/48.26 % Propositional preprocessing time : 0.000
% 254.59/48.26 % Propositional encoding time : 0.343
% 254.59/48.26 % Propositional solver time : 0.033
% 254.59/48.26 % Success case prop preproc time : 0.000
% 254.59/48.26 % Success case prop encoding time : 0.343
% 254.59/48.26 % Success case prop solver time : 0.033
% 254.59/48.26 % Current number of processed clauses : 4487
% 254.59/48.26 % Positive orientable unit clauses : 244
% 254.59/48.26 % Positive unorientable unit clauses: 0
% 254.59/48.26 % Negative unit clauses : 49
% 254.59/48.26 % Non-unit-clauses : 4194
% 254.59/48.26 % Current number of unprocessed clauses: 107450
% 254.59/48.26 % ...number of literals in the above : 747624
% 254.59/48.26 % Current number of archived formulas : 0
% 254.59/48.26 % Current number of archived clauses : 397
% 254.59/48.26 % Clause-clause subsumption calls (NU) : 6860754
% 254.59/48.26 % Rec. Clause-clause subsumption calls : 932945
% 254.59/48.26 % Non-unit clause-clause subsumptions : 7612
% 254.59/48.26 % Unit Clause-clause subsumption calls : 128704
% 254.59/48.26 % Rewrite failures with RHS unbound : 0
% 254.59/48.26 % BW rewrite match attempts : 231
% 254.59/48.26 % BW rewrite match successes : 62
% 254.59/48.26 % Condensation attempts : 0
% 254.59/48.26 % Condensation successes : 0
% 254.59/48.26 % Termbank termtop insertions : 6599024
% 254.59/48.26 % Search garbage collected termcells : 615096
% 254.59/48.26
% 254.59/48.26 % -------------------------------------------------
% 254.59/48.26 % User time : 35.532 s
% 254.59/48.26 % System time : 0.957 s
% 254.59/48.26 % Total time : 36.489 s
% 254.59/48.26 % Maximum resident set size: 115312 pages
% 254.59/48.26
% 254.59/48.26 % -------------------------------------------------
% 254.59/48.26 % User time : 41.123 s
% 254.59/48.26 % System time : 1.216 s
% 254.59/48.26 % Total time : 42.340 s
% 254.59/48.26 % Maximum resident set size: 93952 pages
% 254.59/48.26 % E exiting
%------------------------------------------------------------------------------