%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT356+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 0.99s 0.62s
% Output : CNFRefutation 0.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 51 ( 18 unt; 0 def)
% Number of atoms : 412 ( 18 equ)
% Maximal formula atoms : 72 ( 8 avg)
% Number of connectives : 568 ( 207 ~; 214 |; 122 &)
% ( 2 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 7 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 : 49 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cc1_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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(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(dt_l1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
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/theBenchmark.p',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/sandbox2/benchmark/theBenchmark.p',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/sandbox2/benchmark/theBenchmark.p',fc2_waybel_1) ).
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(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(c_0_9,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattice3]) ).
fof(c_0_10,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_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,
! [X34] :
( ~ v3_struct_0(X34)
| ~ v1_lattice3(X34)
| ~ l1_orders_2(X34) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_13,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_10])])])]) ).
fof(c_0_14,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])])]) ).
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,
! [X217] :
( v3_waybel_1(k1_waybel_1(X217,X217,k7_grcat_1(X217),k7_grcat_1(X217)),X217,X217)
| ~ l1_orders_2(X217)
| v3_struct_0(X217) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
cnf(c_0_17,plain,
( ~ v3_struct_0(X1)
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_20,plain,
! [X105] :
( ( ~ l1_struct_0(X105)
| m2_relset_1(k7_grcat_1(X105),u1_struct_0(X105),u1_struct_0(X105)) )
& ( ~ l1_struct_0(X105)
| v1_funct_2(k7_grcat_1(X105),u1_struct_0(X105),u1_struct_0(X105)) )
& ( ~ l1_struct_0(X105)
| v1_funct_1(k7_grcat_1(X105)) ) ),
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_21,plain,
( ~ l1_orders_2(X1)
| l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_22,plain,
! [X153] :
( ( ~ l1_orders_2(X153)
| ~ v2_orders_2(X153)
| v3_struct_0(X153)
| v8_waybel_1(k7_grcat_1(X153),X153) )
& ( ~ l1_orders_2(X153)
| ~ v2_orders_2(X153)
| v3_struct_0(X153)
| v7_waybel_1(k7_grcat_1(X153),X153) )
& ( ~ l1_orders_2(X153)
| ~ v2_orders_2(X153)
| v3_struct_0(X153)
| v6_waybel_1(k7_grcat_1(X153),X153) )
& ( ~ l1_orders_2(X153)
| ~ v2_orders_2(X153)
| v3_struct_0(X153)
| v23_waybel_0(k7_grcat_1(X153),X153,X153) )
& ( ~ l1_orders_2(X153)
| ~ v2_orders_2(X153)
| v3_struct_0(X153)
| v22_waybel_0(k7_grcat_1(X153),X153,X153) )
& ( ~ l1_orders_2(X153)
| ~ v2_orders_2(X153)
| v3_struct_0(X153)
| v21_waybel_0(k7_grcat_1(X153),X153,X153) )
& ( ~ l1_orders_2(X153)
| ~ v2_orders_2(X153)
| v3_struct_0(X153)
| v20_waybel_0(k7_grcat_1(X153),X153,X153) )
& ( ~ l1_orders_2(X153)
| ~ v2_orders_2(X153)
| v3_struct_0(X153)
| v19_waybel_0(k7_grcat_1(X153),X153,X153) )
& ( ~ l1_orders_2(X153)
| ~ v2_orders_2(X153)
| v3_struct_0(X153)
| v18_waybel_0(k7_grcat_1(X153),X153,X153) )
& ( ~ l1_orders_2(X153)
| ~ v2_orders_2(X153)
| v3_struct_0(X153)
| v17_waybel_0(k7_grcat_1(X153),X153,X153) )
& ( ~ l1_orders_2(X153)
| ~ v2_orders_2(X153)
| v3_struct_0(X153)
| v5_orders_3(k7_grcat_1(X153),X153,X153) )
& ( ~ l1_orders_2(X153)
| ~ v2_orders_2(X153)
| v3_struct_0(X153)
| v11_quantal1(k7_grcat_1(X153)) )
& ( ~ l1_orders_2(X153)
| ~ v2_orders_2(X153)
| v3_struct_0(X153)
| v1_partfun1(k7_grcat_1(X153),u1_struct_0(X153),u1_struct_0(X153)) )
& ( ~ l1_orders_2(X153)
| ~ v2_orders_2(X153)
| v3_struct_0(X153)
| v1_funct_2(k7_grcat_1(X153),u1_struct_0(X153),u1_struct_0(X153)) )
& ( ~ l1_orders_2(X153)
| ~ v2_orders_2(X153)
| v3_struct_0(X153)
| ~ v1_xboole_0(k7_grcat_1(X153)) )
& ( ~ l1_orders_2(X153)
| ~ v2_orders_2(X153)
| v3_struct_0(X153)
| v2_funct_1(k7_grcat_1(X153)) )
& ( ~ l1_orders_2(X153)
| ~ v2_orders_2(X153)
| v3_struct_0(X153)
| v1_funct_1(k7_grcat_1(X153)) )
& ( ~ l1_orders_2(X153)
| ~ v2_orders_2(X153)
| v3_struct_0(X153)
| v1_relat_1(k7_grcat_1(X153)) ) ),
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_23,plain,
! [X148] :
( ( ~ l1_orders_2(X148)
| v23_waybel_0(k7_grcat_1(X148),X148,X148) )
& ( ~ l1_orders_2(X148)
| v1_funct_2(k7_grcat_1(X148),u1_struct_0(X148),u1_struct_0(X148)) )
& ( ~ l1_orders_2(X148)
| v1_funct_1(k7_grcat_1(X148)) )
& ( ~ l1_orders_2(X148)
| v1_relat_1(k7_grcat_1(X148)) ) ),
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_24,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(X85),u1_struct_0(X86))
| ~ v1_funct_2(X87,u1_struct_0(X85),u1_struct_0(X86))
| ~ v1_funct_1(X87)
| ~ v17_waybel_0(X87,X85,X86)
| ~ v3_lattice3(X86)
| ~ v3_lattice3(X85)
| ~ m2_relset_1(X88,u1_struct_0(X86),u1_struct_0(X85))
| ~ v1_funct_2(X88,u1_struct_0(X86),u1_struct_0(X85))
| ~ v1_funct_1(X88)
| X88 = k1_waybel34(X85,X86,X87)
| ~ v3_waybel_1(k1_waybel_1(X85,X86,X87,X88),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(X85),u1_struct_0(X86))
| ~ v1_funct_2(X87,u1_struct_0(X85),u1_struct_0(X86))
| ~ v1_funct_1(X87)
| ~ v17_waybel_0(X87,X85,X86)
| ~ v3_lattice3(X86)
| ~ v3_lattice3(X85)
| ~ m2_relset_1(X88,u1_struct_0(X86),u1_struct_0(X85))
| ~ v1_funct_2(X88,u1_struct_0(X86),u1_struct_0(X85))
| ~ v1_funct_1(X88)
| v3_waybel_1(k1_waybel_1(X85,X86,X87,X88),X85,X86)
| X88 != k1_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)],[d1_waybel34])])])])]) ).
cnf(c_0_25,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_26,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_27,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_20]) ).
cnf(c_0_28,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_21,c_0_19]) ).
cnf(c_0_29,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_22]) ).
cnf(c_0_30,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
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_23]) ).
cnf(c_0_32,plain,
( ~ l1_orders_2(X1)
| v1_funct_1(k7_grcat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_33,plain,
! [X89,X90,X91,X92] :
( ( ~ l1_orders_2(X89)
| ~ v2_lattice3(X89)
| ~ v1_lattice3(X89)
| ~ v4_orders_2(X89)
| ~ v3_orders_2(X89)
| ~ v2_orders_2(X89)
| ~ l1_orders_2(X90)
| ~ v2_lattice3(X90)
| ~ v1_lattice3(X90)
| ~ v4_orders_2(X90)
| ~ v3_orders_2(X90)
| ~ v2_orders_2(X90)
| ~ m2_relset_1(X91,u1_struct_0(X90),u1_struct_0(X89))
| ~ v1_funct_2(X91,u1_struct_0(X90),u1_struct_0(X89))
| ~ v1_funct_1(X91)
| ~ v18_waybel_0(X91,X90,X89)
| ~ v3_lattice3(X90)
| ~ v3_lattice3(X89)
| ~ m2_relset_1(X92,u1_struct_0(X89),u1_struct_0(X90))
| ~ v1_funct_2(X92,u1_struct_0(X89),u1_struct_0(X90))
| ~ v1_funct_1(X92)
| X92 = k2_waybel34(X89,X90,X91)
| ~ v3_waybel_1(k1_waybel_1(X89,X90,X92,X91),X89,X90) )
& ( ~ l1_orders_2(X89)
| ~ v2_lattice3(X89)
| ~ v1_lattice3(X89)
| ~ v4_orders_2(X89)
| ~ v3_orders_2(X89)
| ~ v2_orders_2(X89)
| ~ l1_orders_2(X90)
| ~ v2_lattice3(X90)
| ~ v1_lattice3(X90)
| ~ v4_orders_2(X90)
| ~ v3_orders_2(X90)
| ~ v2_orders_2(X90)
| ~ m2_relset_1(X91,u1_struct_0(X90),u1_struct_0(X89))
| ~ v1_funct_2(X91,u1_struct_0(X90),u1_struct_0(X89))
| ~ v1_funct_1(X91)
| ~ v18_waybel_0(X91,X90,X89)
| ~ v3_lattice3(X90)
| ~ v3_lattice3(X89)
| ~ m2_relset_1(X92,u1_struct_0(X89),u1_struct_0(X90))
| ~ v1_funct_2(X92,u1_struct_0(X89),u1_struct_0(X90))
| ~ v1_funct_1(X92)
| v3_waybel_1(k1_waybel_1(X89,X90,X92,X91),X89,X90)
| X92 != k2_waybel34(X89,X90,X91) ) ),
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])])])])]) ).
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_22]) ).
cnf(c_0_35,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_24]) ).
cnf(c_0_36,negated_conjecture,
v3_waybel_1(k1_waybel_1(esk1_0,esk1_0,k7_grcat_1(esk1_0),k7_grcat_1(esk1_0)),esk1_0,esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_19]),c_0_26]) ).
cnf(c_0_37,negated_conjecture,
m2_relset_1(k7_grcat_1(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_38,negated_conjecture,
v17_waybel_0(k7_grcat_1(esk1_0),esk1_0,esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_19])]),c_0_26]) ).
cnf(c_0_39,negated_conjecture,
v1_funct_2(k7_grcat_1(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_31,c_0_19]) ).
cnf(c_0_40,negated_conjecture,
v1_funct_1(k7_grcat_1(esk1_0)),
inference(spm,[status(thm)],[c_0_32,c_0_19]) ).
cnf(c_0_41,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_42,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_43,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_44,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_45,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_33]) ).
cnf(c_0_46,negated_conjecture,
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(spm,[status(thm)],[c_0_34,c_0_30]),c_0_19])]),c_0_26]) ).
cnf(c_0_47,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_13]) ).
cnf(c_0_48,negated_conjecture,
k1_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) = k7_grcat_1(esk1_0),
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(rw,[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_35,c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),c_0_19]),c_0_41]),c_0_42]),c_0_18]),c_0_43]),c_0_44]),c_0_30])]) ).
cnf(c_0_49,negated_conjecture,
k2_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) = k7_grcat_1(esk1_0),
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(rw,[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_45,c_0_36]),c_0_37]),c_0_46]),c_0_39]),c_0_40]),c_0_19]),c_0_41]),c_0_42]),c_0_18]),c_0_43]),c_0_44]),c_0_30])]) ).
cnf(c_0_50,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]),c_0_49])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT356+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n010.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 20 23:48:24 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.99/0.62 % Version: 3.5.1
% 0.99/0.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.99/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.99/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.99/0.62 % Starting new_bool_3 with 300s (1) cores
% 0.99/0.62 % Starting new_bool_1 with 300s (1) cores
% 0.99/0.62 % Starting sh5l with 300s (1) cores
% 0.99/0.62 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3800223 completed with status 0
% 0.99/0.62 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.99/0.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.99/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.99/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.99/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.99/0.62 % No SInE strategy applied
% 0.99/0.62 % Search class: FGHSM-FSLM31-SFFFFFNN
% 0.99/0.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.99/0.62 % Starting SubtermCWHack with 136s (1) cores
% 0.99/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.99/0.62 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_S0e with 136s (1) cores
% 0.99/0.62 % Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 136s (1) cores
% 0.99/0.62 % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.99/0.62 % G-E--_208_C18_F1_AE_CS_SP_PI_S0a with pid 3800232 completed with status 0
% 0.99/0.62 % Result found by G-E--_208_C18_F1_AE_CS_SP_PI_S0a
% 0.99/0.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.99/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.99/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.99/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.99/0.62 % No SInE strategy applied
% 0.99/0.62 % Search class: FGHSM-FSLM31-SFFFFFNN
% 0.99/0.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.99/0.62 % Starting SubtermCWHack with 136s (1) cores
% 0.99/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.99/0.62 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_S0e with 136s (1) cores
% 0.99/0.62 % Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 136s (1) cores
% 0.99/0.62 % Preprocessing time : 0.007 s
% 0.99/0.62
% 0.99/0.62 % Proof found!
% 0.99/0.62 % SZS status Theorem
% 0.99/0.62 % SZS output start CNFRefutation
% See solution above
% 0.99/0.62 % Parsed axioms : 130
% 0.99/0.62 % Removed by relevancy pruning/SinE : 0
% 0.99/0.62 % Initial clauses : 441
% 0.99/0.62 % Removed in clause preprocessing : 62
% 0.99/0.62 % Initial clauses in saturation : 379
% 0.99/0.62 % Processed clauses : 827
% 0.99/0.62 % ...of these trivial : 30
% 0.99/0.62 % ...subsumed : 87
% 0.99/0.62 % ...remaining for further processing : 709
% 0.99/0.62 % Other redundant clauses eliminated : 0
% 0.99/0.62 % Clauses deleted for lack of memory : 0
% 0.99/0.62 % Backward-subsumed : 0
% 0.99/0.62 % Backward-rewritten : 7
% 0.99/0.62 % Generated clauses : 1270
% 0.99/0.62 % ...of the previous two non-redundant : 1093
% 0.99/0.62 % ...aggressively subsumed : 0
% 0.99/0.62 % Contextual simplify-reflections : 10
% 0.99/0.62 % Paramodulations : 1268
% 0.99/0.62 % Factorizations : 0
% 0.99/0.62 % NegExts : 0
% 0.99/0.62 % Equation resolutions : 2
% 0.99/0.62 % Disequality decompositions : 0
% 0.99/0.62 % Total rewrite steps : 1541
% 0.99/0.62 % ...of those cached : 1423
% 0.99/0.62 % Propositional unsat checks : 0
% 0.99/0.62 % Propositional check models : 0
% 0.99/0.62 % Propositional check unsatisfiable : 0
% 0.99/0.62 % Propositional clauses : 0
% 0.99/0.62 % Propositional clauses after purity: 0
% 0.99/0.62 % Propositional unsat core size : 0
% 0.99/0.62 % Propositional preprocessing time : 0.000
% 0.99/0.62 % Propositional encoding time : 0.000
% 0.99/0.62 % Propositional solver time : 0.000
% 0.99/0.62 % Success case prop preproc time : 0.000
% 0.99/0.62 % Success case prop encoding time : 0.000
% 0.99/0.62 % Success case prop solver time : 0.000
% 0.99/0.62 % Current number of processed clauses : 702
% 0.99/0.62 % Positive orientable unit clauses : 216
% 0.99/0.62 % Positive unorientable unit clauses: 1
% 0.99/0.62 % Negative unit clauses : 13
% 0.99/0.62 % Non-unit-clauses : 472
% 0.99/0.62 % Current number of unprocessed clauses: 635
% 0.99/0.62 % ...number of literals in the above : 1830
% 0.99/0.62 % Current number of archived formulas : 0
% 0.99/0.62 % Current number of archived clauses : 8
% 0.99/0.62 % Clause-clause subsumption calls (NU) : 143705
% 0.99/0.62 % Rec. Clause-clause subsumption calls : 24191
% 0.99/0.62 % Non-unit clause-clause subsumptions : 90
% 0.99/0.62 % Unit Clause-clause subsumption calls : 20304
% 0.99/0.62 % Rewrite failures with RHS unbound : 0
% 0.99/0.62 % BW rewrite match attempts : 32
% 0.99/0.62 % BW rewrite match successes : 6
% 0.99/0.62 % Condensation attempts : 0
% 0.99/0.62 % Condensation successes : 0
% 0.99/0.62 % Termbank termtop insertions : 60634
% 0.99/0.62 % Search garbage collected termcells : 4968
% 0.99/0.62
% 0.99/0.62 % -------------------------------------------------
% 0.99/0.62 % User time : 0.129 s
% 0.99/0.62 % System time : 0.013 s
% 0.99/0.62 % Total time : 0.142 s
% 0.99/0.62 % Maximum resident set size: 4832 pages
% 0.99/0.62
% 0.99/0.62 % -------------------------------------------------
% 0.99/0.62 % User time : 0.567 s
% 0.99/0.62 % System time : 0.045 s
% 0.99/0.62 % Total time : 0.612 s
% 0.99/0.62 % Maximum resident set size: 4864 pages
% 0.99/0.62 % E exiting
%------------------------------------------------------------------------------