%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT369+1 : 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 : n012.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 01:05:09 PM UTC 2026
% Result : Theorem 2.78s 0.74s
% Output : CNFRefutation 2.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 80 ( 31 unt; 0 def)
% Number of atoms : 892 ( 6 equ)
% Maximal formula atoms : 168 ( 11 avg)
% Number of connectives : 1355 ( 543 ~; 552 |; 224 &)
% ( 2 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 108 ( 0 sgn 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t42_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) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v7_waybel_1(X2,X1)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v4_waybel_0(k2_yellow_2(X1,X1,X2),X1)
=> v1_waybel34(k2_waybel_1(X1,X1,X2),X1,k2_yellow_2(X1,X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34) ).
fof(cc1_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattice3) ).
fof(dt_k2_yellow_2,axiom,
! [X1,X2,X3] :
( ( m1_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)
& l1_orders_2(X2)
& ~ v3_struct_0(X2)
& l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( m1_yellow_0(k2_yellow_2(X1,X2,X3),X2)
& v4_yellow_0(k2_yellow_2(X1,X2,X3),X2)
& v1_orders_2(k2_yellow_2(X1,X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_yellow_2) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(cc3_waybel_1,axiom,
! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
=> ( ( v7_waybel_1(X2,X1)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v6_waybel_1(X2,X1)
& v1_partfun1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_waybel_1) ).
fof(dt_k3_waybel_1,axiom,
! [X1,X2,X3] :
( ( m1_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)
& l1_orders_2(X2)
& ~ v3_struct_0(X2)
& l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( m2_relset_1(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2))
& v1_funct_2(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2))
& v1_funct_1(k3_waybel_1(X1,X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_waybel_1) ).
fof(fc10_waybel34,axiom,
! [X1,X2] :
( ( m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v6_waybel_1(X2,X1)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X2)
& 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) )
=> ( v3_lattice3(k2_yellow_2(X1,X1,X2))
& v2_lattice3(k2_yellow_2(X1,X1,X2))
& v1_lattice3(k2_yellow_2(X1,X1,X2))
& v25_waybel_0(k2_yellow_2(X1,X1,X2))
& v24_waybel_0(k2_yellow_2(X1,X1,X2))
& v4_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v3_yellow_0(k2_yellow_2(X1,X1,X2))
& v2_yellow_0(k2_yellow_2(X1,X1,X2))
& v1_yellow_0(k2_yellow_2(X1,X1,X2))
& v4_orders_2(k2_yellow_2(X1,X1,X2))
& v3_orders_2(k2_yellow_2(X1,X1,X2))
& v2_orders_2(k2_yellow_2(X1,X1,X2))
& v1_orders_2(k2_yellow_2(X1,X1,X2))
& ~ v3_struct_0(k2_yellow_2(X1,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc10_waybel34) ).
fof(fc10_waybel10,axiom,
! [X1,X2] :
( ( m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v7_waybel_1(X2,X1)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X2)
& l1_orders_2(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( v3_waybel_0(k2_yellow_2(X1,X1,X2),X1)
& v7_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v5_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v4_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v4_orders_2(k2_yellow_2(X1,X1,X2))
& v3_orders_2(k2_yellow_2(X1,X1,X2))
& v2_orders_2(k2_yellow_2(X1,X1,X2))
& v1_orders_2(k2_yellow_2(X1,X1,X2))
& ~ v3_struct_0(k2_yellow_2(X1,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc10_waybel10) ).
fof(t39_waybel34,axiom,
! [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) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v7_waybel_1(X2,X1)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( k1_waybel34(k2_yellow_2(X1,X1,X2),X1,k3_waybel_1(X1,X1,X2)) = k2_waybel_1(X1,X1,X2)
& k2_waybel34(k2_yellow_2(X1,X1,X2),X1,k2_waybel_1(X1,X1,X2)) = k3_waybel_1(X1,X1,X2)
& v17_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1)
& v18_waybel_0(k2_waybel_1(X1,X1,X2),X1,k2_yellow_2(X1,X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_waybel34) ).
fof(t40_waybel34,axiom,
! [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) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v7_waybel_1(X2,X1)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v4_waybel_0(k2_yellow_2(X1,X1,X2),X1)
<=> v22_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_waybel34) ).
fof(dt_m1_yellow_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( m1_yellow_0(X2,X1)
=> l1_orders_2(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_0) ).
fof(t24_waybel34,axiom,
! [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) )
=> ! [X2] :
( ( l1_orders_2(X2)
& v3_lattice3(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))
& v17_waybel_0(X3,X1,X2)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ( v22_waybel_0(X3,X1,X2)
=> v1_waybel34(k1_waybel34(X1,X2,X3),X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_waybel34) ).
fof(c_0_12,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) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v7_waybel_1(X2,X1)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v4_waybel_0(k2_yellow_2(X1,X1,X2),X1)
=> v1_waybel34(k2_waybel_1(X1,X1,X2),X1,k2_yellow_2(X1,X1,X2)) ) ) ),
inference(assume_negation,[status(cth)],[t42_waybel34]) ).
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,plain,
! [X1,X2,X3] :
( ( m1_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)
& l1_orders_2(X2)
& ~ v3_struct_0(X2)
& l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( m1_yellow_0(k2_yellow_2(X1,X2,X3),X2)
& v4_yellow_0(k2_yellow_2(X1,X2,X3),X2)
& v1_orders_2(k2_yellow_2(X1,X2,X3)) ) ),
inference(fof_simplification,[status(thm)],[dt_k2_yellow_2]) ).
fof(c_0_15,plain,
! [X233,X234,X235] :
( ( m2_relset_1(X235,X233,X234)
| ~ m1_relset_1(X235,X233,X234) )
& ( m1_relset_1(X235,X233,X234)
| ~ m2_relset_1(X235,X233,X234) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
fof(c_0_16,negated_conjecture,
( ~ v1_waybel34(k2_waybel_1(esk1_0,esk1_0,esk2_0),esk1_0,k2_yellow_2(esk1_0,esk1_0,esk2_0))
& v4_waybel_0(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0)
& m2_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
& v7_waybel_1(esk2_0,esk1_0)
& v1_funct_2(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
& v1_funct_1(esk2_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_12])])])]) ).
fof(c_0_17,plain,
! [X38] :
( ~ v3_struct_0(X38)
| ~ v1_lattice3(X38)
| ~ l1_orders_2(X38) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_18,plain,
! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
=> ( ( v7_waybel_1(X2,X1)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v6_waybel_1(X2,X1)
& v1_partfun1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[cc3_waybel_1]) ).
fof(c_0_19,plain,
! [X1,X2,X3] :
( ( m1_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)
& l1_orders_2(X2)
& ~ v3_struct_0(X2)
& l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( m2_relset_1(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2))
& v1_funct_2(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2))
& v1_funct_1(k3_waybel_1(X1,X2,X3)) ) ),
inference(fof_simplification,[status(thm)],[dt_k3_waybel_1]) ).
fof(c_0_20,plain,
! [X114,X115,X116] :
( ( ~ m1_relset_1(X116,u1_struct_0(X114),u1_struct_0(X115))
| ~ v1_funct_2(X116,u1_struct_0(X114),u1_struct_0(X115))
| ~ v1_funct_1(X116)
| ~ l1_orders_2(X115)
| v3_struct_0(X115)
| ~ l1_orders_2(X114)
| v3_struct_0(X114)
| m1_yellow_0(k2_yellow_2(X114,X115,X116),X115) )
& ( ~ m1_relset_1(X116,u1_struct_0(X114),u1_struct_0(X115))
| ~ v1_funct_2(X116,u1_struct_0(X114),u1_struct_0(X115))
| ~ v1_funct_1(X116)
| ~ l1_orders_2(X115)
| v3_struct_0(X115)
| ~ l1_orders_2(X114)
| v3_struct_0(X114)
| v4_yellow_0(k2_yellow_2(X114,X115,X116),X115) )
& ( ~ m1_relset_1(X116,u1_struct_0(X114),u1_struct_0(X115))
| ~ v1_funct_2(X116,u1_struct_0(X114),u1_struct_0(X115))
| ~ v1_funct_1(X116)
| ~ l1_orders_2(X115)
| v3_struct_0(X115)
| ~ l1_orders_2(X114)
| v3_struct_0(X114)
| v1_orders_2(k2_yellow_2(X114,X115,X116)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
cnf(c_0_21,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
m2_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( ~ v3_struct_0(X1)
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_26,plain,
! [X1,X2] :
( ( m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v6_waybel_1(X2,X1)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X2)
& 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) )
=> ( v3_lattice3(k2_yellow_2(X1,X1,X2))
& v2_lattice3(k2_yellow_2(X1,X1,X2))
& v1_lattice3(k2_yellow_2(X1,X1,X2))
& v25_waybel_0(k2_yellow_2(X1,X1,X2))
& v24_waybel_0(k2_yellow_2(X1,X1,X2))
& v4_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v3_yellow_0(k2_yellow_2(X1,X1,X2))
& v2_yellow_0(k2_yellow_2(X1,X1,X2))
& v1_yellow_0(k2_yellow_2(X1,X1,X2))
& v4_orders_2(k2_yellow_2(X1,X1,X2))
& v3_orders_2(k2_yellow_2(X1,X1,X2))
& v2_orders_2(k2_yellow_2(X1,X1,X2))
& v1_orders_2(k2_yellow_2(X1,X1,X2))
& ~ v3_struct_0(k2_yellow_2(X1,X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[fc10_waybel34]) ).
fof(c_0_27,plain,
! [X71,X72] :
( ( ~ l1_orders_2(X71)
| v3_struct_0(X71)
| ~ m1_relset_1(X72,u1_struct_0(X71),u1_struct_0(X71))
| ~ v7_waybel_1(X72,X71)
| ~ v1_funct_2(X72,u1_struct_0(X71),u1_struct_0(X71))
| ~ v1_funct_1(X72)
| v6_waybel_1(X72,X71) )
& ( ~ l1_orders_2(X71)
| v3_struct_0(X71)
| ~ m1_relset_1(X72,u1_struct_0(X71),u1_struct_0(X71))
| ~ v7_waybel_1(X72,X71)
| ~ v1_funct_2(X72,u1_struct_0(X71),u1_struct_0(X71))
| ~ v1_funct_1(X72)
| v1_partfun1(X72,u1_struct_0(X71),u1_struct_0(X71)) )
& ( ~ l1_orders_2(X71)
| v3_struct_0(X71)
| ~ m1_relset_1(X72,u1_struct_0(X71),u1_struct_0(X71))
| ~ v7_waybel_1(X72,X71)
| ~ v1_funct_2(X72,u1_struct_0(X71),u1_struct_0(X71))
| ~ v1_funct_1(X72)
| v1_funct_2(X72,u1_struct_0(X71),u1_struct_0(X71)) )
& ( ~ l1_orders_2(X71)
| v3_struct_0(X71)
| ~ m1_relset_1(X72,u1_struct_0(X71),u1_struct_0(X71))
| ~ v7_waybel_1(X72,X71)
| ~ v1_funct_2(X72,u1_struct_0(X71),u1_struct_0(X71))
| ~ v1_funct_1(X72)
| ~ v1_xboole_0(X72) )
& ( ~ l1_orders_2(X71)
| v3_struct_0(X71)
| ~ m1_relset_1(X72,u1_struct_0(X71),u1_struct_0(X71))
| ~ v7_waybel_1(X72,X71)
| ~ v1_funct_2(X72,u1_struct_0(X71),u1_struct_0(X71))
| ~ v1_funct_1(X72)
| v1_funct_1(X72) ) ),
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_18])])])])]) ).
fof(c_0_28,plain,
! [X1,X2] :
( ( m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v7_waybel_1(X2,X1)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_funct_1(X2)
& l1_orders_2(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( v3_waybel_0(k2_yellow_2(X1,X1,X2),X1)
& v7_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v5_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v4_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v4_orders_2(k2_yellow_2(X1,X1,X2))
& v3_orders_2(k2_yellow_2(X1,X1,X2))
& v2_orders_2(k2_yellow_2(X1,X1,X2))
& v1_orders_2(k2_yellow_2(X1,X1,X2))
& ~ v3_struct_0(k2_yellow_2(X1,X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[fc10_waybel10]) ).
fof(c_0_29,plain,
! [X117,X118,X119] :
( ( ~ m1_relset_1(X119,u1_struct_0(X117),u1_struct_0(X118))
| ~ v1_funct_2(X119,u1_struct_0(X117),u1_struct_0(X118))
| ~ v1_funct_1(X119)
| ~ l1_orders_2(X118)
| v3_struct_0(X118)
| ~ l1_orders_2(X117)
| v3_struct_0(X117)
| m2_relset_1(k3_waybel_1(X117,X118,X119),u1_struct_0(k2_yellow_2(X117,X118,X119)),u1_struct_0(X118)) )
& ( ~ m1_relset_1(X119,u1_struct_0(X117),u1_struct_0(X118))
| ~ v1_funct_2(X119,u1_struct_0(X117),u1_struct_0(X118))
| ~ v1_funct_1(X119)
| ~ l1_orders_2(X118)
| v3_struct_0(X118)
| ~ l1_orders_2(X117)
| v3_struct_0(X117)
| v1_funct_2(k3_waybel_1(X117,X118,X119),u1_struct_0(k2_yellow_2(X117,X118,X119)),u1_struct_0(X118)) )
& ( ~ m1_relset_1(X119,u1_struct_0(X117),u1_struct_0(X118))
| ~ v1_funct_2(X119,u1_struct_0(X117),u1_struct_0(X118))
| ~ v1_funct_1(X119)
| ~ l1_orders_2(X118)
| v3_struct_0(X118)
| ~ l1_orders_2(X117)
| v3_struct_0(X117)
| v1_funct_1(k3_waybel_1(X117,X118,X119)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
fof(c_0_30,plain,
! [X244,X245] :
( ( ~ l1_orders_2(X244)
| ~ v3_lattice3(X244)
| ~ v2_lattice3(X244)
| ~ v1_lattice3(X244)
| ~ v4_orders_2(X244)
| ~ v3_orders_2(X244)
| ~ v2_orders_2(X244)
| ~ m2_relset_1(X245,u1_struct_0(X244),u1_struct_0(X244))
| ~ v7_waybel_1(X245,X244)
| ~ v1_funct_2(X245,u1_struct_0(X244),u1_struct_0(X244))
| ~ v1_funct_1(X245)
| k1_waybel34(k2_yellow_2(X244,X244,X245),X244,k3_waybel_1(X244,X244,X245)) = k2_waybel_1(X244,X244,X245) )
& ( ~ l1_orders_2(X244)
| ~ v3_lattice3(X244)
| ~ v2_lattice3(X244)
| ~ v1_lattice3(X244)
| ~ v4_orders_2(X244)
| ~ v3_orders_2(X244)
| ~ v2_orders_2(X244)
| ~ m2_relset_1(X245,u1_struct_0(X244),u1_struct_0(X244))
| ~ v7_waybel_1(X245,X244)
| ~ v1_funct_2(X245,u1_struct_0(X244),u1_struct_0(X244))
| ~ v1_funct_1(X245)
| k2_waybel34(k2_yellow_2(X244,X244,X245),X244,k2_waybel_1(X244,X244,X245)) = k3_waybel_1(X244,X244,X245) )
& ( ~ l1_orders_2(X244)
| ~ v3_lattice3(X244)
| ~ v2_lattice3(X244)
| ~ v1_lattice3(X244)
| ~ v4_orders_2(X244)
| ~ v3_orders_2(X244)
| ~ v2_orders_2(X244)
| ~ m2_relset_1(X245,u1_struct_0(X244),u1_struct_0(X244))
| ~ v7_waybel_1(X245,X244)
| ~ v1_funct_2(X245,u1_struct_0(X244),u1_struct_0(X244))
| ~ v1_funct_1(X245)
| v17_waybel_0(k3_waybel_1(X244,X244,X245),k2_yellow_2(X244,X244,X245),X244) )
& ( ~ l1_orders_2(X244)
| ~ v3_lattice3(X244)
| ~ v2_lattice3(X244)
| ~ v1_lattice3(X244)
| ~ v4_orders_2(X244)
| ~ v3_orders_2(X244)
| ~ v2_orders_2(X244)
| ~ m2_relset_1(X245,u1_struct_0(X244),u1_struct_0(X244))
| ~ v7_waybel_1(X245,X244)
| ~ v1_funct_2(X245,u1_struct_0(X244),u1_struct_0(X244))
| ~ v1_funct_1(X245)
| v18_waybel_0(k2_waybel_1(X244,X244,X245),X244,k2_yellow_2(X244,X244,X245)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t39_waybel34])])])])]) ).
fof(c_0_31,plain,
! [X248,X249] :
( ( ~ l1_orders_2(X248)
| ~ v3_lattice3(X248)
| ~ v2_lattice3(X248)
| ~ v1_lattice3(X248)
| ~ v4_orders_2(X248)
| ~ v3_orders_2(X248)
| ~ v2_orders_2(X248)
| ~ m2_relset_1(X249,u1_struct_0(X248),u1_struct_0(X248))
| ~ v7_waybel_1(X249,X248)
| ~ v1_funct_2(X249,u1_struct_0(X248),u1_struct_0(X248))
| ~ v1_funct_1(X249)
| v4_waybel_0(k2_yellow_2(X248,X248,X249),X248)
| ~ v22_waybel_0(k3_waybel_1(X248,X248,X249),k2_yellow_2(X248,X248,X249),X248) )
& ( ~ l1_orders_2(X248)
| ~ v3_lattice3(X248)
| ~ v2_lattice3(X248)
| ~ v1_lattice3(X248)
| ~ v4_orders_2(X248)
| ~ v3_orders_2(X248)
| ~ v2_orders_2(X248)
| ~ m2_relset_1(X249,u1_struct_0(X248),u1_struct_0(X248))
| ~ v7_waybel_1(X249,X248)
| ~ v1_funct_2(X249,u1_struct_0(X248),u1_struct_0(X248))
| ~ v1_funct_1(X249)
| v22_waybel_0(k3_waybel_1(X248,X248,X249),k2_yellow_2(X248,X248,X249),X248)
| ~ v4_waybel_0(k2_yellow_2(X248,X248,X249),X248) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t40_waybel34])])])])]) ).
fof(c_0_32,plain,
! [X124,X125] :
( l1_orders_2(X125)
| ~ m1_yellow_0(X125,X124)
| ~ l1_orders_2(X124) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_yellow_0])])])]) ).
cnf(c_0_33,plain,
( ~ m1_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)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| m1_yellow_0(k2_yellow_2(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_34,negated_conjecture,
m1_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_35,negated_conjecture,
v1_funct_2(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_36,negated_conjecture,
v1_funct_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
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_23,c_0_24]),c_0_25])]) ).
fof(c_0_38,plain,
! [X144,X145] :
( ( ~ m1_relset_1(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v6_waybel_1(X145,X144)
| ~ v1_funct_2(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v1_funct_1(X145)
| ~ l1_orders_2(X144)
| ~ v3_lattice3(X144)
| ~ v2_lattice3(X144)
| ~ v1_lattice3(X144)
| ~ v4_orders_2(X144)
| ~ v3_orders_2(X144)
| ~ v2_orders_2(X144)
| v3_lattice3(k2_yellow_2(X144,X144,X145)) )
& ( ~ m1_relset_1(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v6_waybel_1(X145,X144)
| ~ v1_funct_2(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v1_funct_1(X145)
| ~ l1_orders_2(X144)
| ~ v3_lattice3(X144)
| ~ v2_lattice3(X144)
| ~ v1_lattice3(X144)
| ~ v4_orders_2(X144)
| ~ v3_orders_2(X144)
| ~ v2_orders_2(X144)
| v2_lattice3(k2_yellow_2(X144,X144,X145)) )
& ( ~ m1_relset_1(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v6_waybel_1(X145,X144)
| ~ v1_funct_2(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v1_funct_1(X145)
| ~ l1_orders_2(X144)
| ~ v3_lattice3(X144)
| ~ v2_lattice3(X144)
| ~ v1_lattice3(X144)
| ~ v4_orders_2(X144)
| ~ v3_orders_2(X144)
| ~ v2_orders_2(X144)
| v1_lattice3(k2_yellow_2(X144,X144,X145)) )
& ( ~ m1_relset_1(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v6_waybel_1(X145,X144)
| ~ v1_funct_2(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v1_funct_1(X145)
| ~ l1_orders_2(X144)
| ~ v3_lattice3(X144)
| ~ v2_lattice3(X144)
| ~ v1_lattice3(X144)
| ~ v4_orders_2(X144)
| ~ v3_orders_2(X144)
| ~ v2_orders_2(X144)
| v25_waybel_0(k2_yellow_2(X144,X144,X145)) )
& ( ~ m1_relset_1(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v6_waybel_1(X145,X144)
| ~ v1_funct_2(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v1_funct_1(X145)
| ~ l1_orders_2(X144)
| ~ v3_lattice3(X144)
| ~ v2_lattice3(X144)
| ~ v1_lattice3(X144)
| ~ v4_orders_2(X144)
| ~ v3_orders_2(X144)
| ~ v2_orders_2(X144)
| v24_waybel_0(k2_yellow_2(X144,X144,X145)) )
& ( ~ m1_relset_1(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v6_waybel_1(X145,X144)
| ~ v1_funct_2(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v1_funct_1(X145)
| ~ l1_orders_2(X144)
| ~ v3_lattice3(X144)
| ~ v2_lattice3(X144)
| ~ v1_lattice3(X144)
| ~ v4_orders_2(X144)
| ~ v3_orders_2(X144)
| ~ v2_orders_2(X144)
| v4_yellow_0(k2_yellow_2(X144,X144,X145),X144) )
& ( ~ m1_relset_1(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v6_waybel_1(X145,X144)
| ~ v1_funct_2(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v1_funct_1(X145)
| ~ l1_orders_2(X144)
| ~ v3_lattice3(X144)
| ~ v2_lattice3(X144)
| ~ v1_lattice3(X144)
| ~ v4_orders_2(X144)
| ~ v3_orders_2(X144)
| ~ v2_orders_2(X144)
| v3_yellow_0(k2_yellow_2(X144,X144,X145)) )
& ( ~ m1_relset_1(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v6_waybel_1(X145,X144)
| ~ v1_funct_2(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v1_funct_1(X145)
| ~ l1_orders_2(X144)
| ~ v3_lattice3(X144)
| ~ v2_lattice3(X144)
| ~ v1_lattice3(X144)
| ~ v4_orders_2(X144)
| ~ v3_orders_2(X144)
| ~ v2_orders_2(X144)
| v2_yellow_0(k2_yellow_2(X144,X144,X145)) )
& ( ~ m1_relset_1(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v6_waybel_1(X145,X144)
| ~ v1_funct_2(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v1_funct_1(X145)
| ~ l1_orders_2(X144)
| ~ v3_lattice3(X144)
| ~ v2_lattice3(X144)
| ~ v1_lattice3(X144)
| ~ v4_orders_2(X144)
| ~ v3_orders_2(X144)
| ~ v2_orders_2(X144)
| v1_yellow_0(k2_yellow_2(X144,X144,X145)) )
& ( ~ m1_relset_1(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v6_waybel_1(X145,X144)
| ~ v1_funct_2(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v1_funct_1(X145)
| ~ l1_orders_2(X144)
| ~ v3_lattice3(X144)
| ~ v2_lattice3(X144)
| ~ v1_lattice3(X144)
| ~ v4_orders_2(X144)
| ~ v3_orders_2(X144)
| ~ v2_orders_2(X144)
| v4_orders_2(k2_yellow_2(X144,X144,X145)) )
& ( ~ m1_relset_1(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v6_waybel_1(X145,X144)
| ~ v1_funct_2(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v1_funct_1(X145)
| ~ l1_orders_2(X144)
| ~ v3_lattice3(X144)
| ~ v2_lattice3(X144)
| ~ v1_lattice3(X144)
| ~ v4_orders_2(X144)
| ~ v3_orders_2(X144)
| ~ v2_orders_2(X144)
| v3_orders_2(k2_yellow_2(X144,X144,X145)) )
& ( ~ m1_relset_1(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v6_waybel_1(X145,X144)
| ~ v1_funct_2(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v1_funct_1(X145)
| ~ l1_orders_2(X144)
| ~ v3_lattice3(X144)
| ~ v2_lattice3(X144)
| ~ v1_lattice3(X144)
| ~ v4_orders_2(X144)
| ~ v3_orders_2(X144)
| ~ v2_orders_2(X144)
| v2_orders_2(k2_yellow_2(X144,X144,X145)) )
& ( ~ m1_relset_1(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v6_waybel_1(X145,X144)
| ~ v1_funct_2(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v1_funct_1(X145)
| ~ l1_orders_2(X144)
| ~ v3_lattice3(X144)
| ~ v2_lattice3(X144)
| ~ v1_lattice3(X144)
| ~ v4_orders_2(X144)
| ~ v3_orders_2(X144)
| ~ v2_orders_2(X144)
| v1_orders_2(k2_yellow_2(X144,X144,X145)) )
& ( ~ m1_relset_1(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v6_waybel_1(X145,X144)
| ~ v1_funct_2(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v1_funct_1(X145)
| ~ l1_orders_2(X144)
| ~ v3_lattice3(X144)
| ~ v2_lattice3(X144)
| ~ v1_lattice3(X144)
| ~ v4_orders_2(X144)
| ~ v3_orders_2(X144)
| ~ v2_orders_2(X144)
| ~ v3_struct_0(k2_yellow_2(X144,X144,X145)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
cnf(c_0_39,plain,
( ~ l1_orders_2(X2)
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v7_waybel_1(X1,X2)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_funct_1(X1)
| v3_struct_0(X2)
| v6_waybel_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_40,negated_conjecture,
v7_waybel_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_41,plain,
! [X142,X143] :
( ( ~ m1_relset_1(X143,u1_struct_0(X142),u1_struct_0(X142))
| ~ v7_waybel_1(X143,X142)
| ~ v1_funct_2(X143,u1_struct_0(X142),u1_struct_0(X142))
| ~ v1_funct_1(X143)
| ~ l1_orders_2(X142)
| ~ v4_orders_2(X142)
| ~ v3_orders_2(X142)
| ~ v2_orders_2(X142)
| v3_struct_0(X142)
| v3_waybel_0(k2_yellow_2(X142,X142,X143),X142) )
& ( ~ m1_relset_1(X143,u1_struct_0(X142),u1_struct_0(X142))
| ~ v7_waybel_1(X143,X142)
| ~ v1_funct_2(X143,u1_struct_0(X142),u1_struct_0(X142))
| ~ v1_funct_1(X143)
| ~ l1_orders_2(X142)
| ~ v4_orders_2(X142)
| ~ v3_orders_2(X142)
| ~ v2_orders_2(X142)
| v3_struct_0(X142)
| v7_yellow_0(k2_yellow_2(X142,X142,X143),X142) )
& ( ~ m1_relset_1(X143,u1_struct_0(X142),u1_struct_0(X142))
| ~ v7_waybel_1(X143,X142)
| ~ v1_funct_2(X143,u1_struct_0(X142),u1_struct_0(X142))
| ~ v1_funct_1(X143)
| ~ l1_orders_2(X142)
| ~ v4_orders_2(X142)
| ~ v3_orders_2(X142)
| ~ v2_orders_2(X142)
| v3_struct_0(X142)
| v5_yellow_0(k2_yellow_2(X142,X142,X143),X142) )
& ( ~ m1_relset_1(X143,u1_struct_0(X142),u1_struct_0(X142))
| ~ v7_waybel_1(X143,X142)
| ~ v1_funct_2(X143,u1_struct_0(X142),u1_struct_0(X142))
| ~ v1_funct_1(X143)
| ~ l1_orders_2(X142)
| ~ v4_orders_2(X142)
| ~ v3_orders_2(X142)
| ~ v2_orders_2(X142)
| v3_struct_0(X142)
| v4_yellow_0(k2_yellow_2(X142,X142,X143),X142) )
& ( ~ m1_relset_1(X143,u1_struct_0(X142),u1_struct_0(X142))
| ~ v7_waybel_1(X143,X142)
| ~ v1_funct_2(X143,u1_struct_0(X142),u1_struct_0(X142))
| ~ v1_funct_1(X143)
| ~ l1_orders_2(X142)
| ~ v4_orders_2(X142)
| ~ v3_orders_2(X142)
| ~ v2_orders_2(X142)
| v3_struct_0(X142)
| v4_orders_2(k2_yellow_2(X142,X142,X143)) )
& ( ~ m1_relset_1(X143,u1_struct_0(X142),u1_struct_0(X142))
| ~ v7_waybel_1(X143,X142)
| ~ v1_funct_2(X143,u1_struct_0(X142),u1_struct_0(X142))
| ~ v1_funct_1(X143)
| ~ l1_orders_2(X142)
| ~ v4_orders_2(X142)
| ~ v3_orders_2(X142)
| ~ v2_orders_2(X142)
| v3_struct_0(X142)
| v3_orders_2(k2_yellow_2(X142,X142,X143)) )
& ( ~ m1_relset_1(X143,u1_struct_0(X142),u1_struct_0(X142))
| ~ v7_waybel_1(X143,X142)
| ~ v1_funct_2(X143,u1_struct_0(X142),u1_struct_0(X142))
| ~ v1_funct_1(X143)
| ~ l1_orders_2(X142)
| ~ v4_orders_2(X142)
| ~ v3_orders_2(X142)
| ~ v2_orders_2(X142)
| v3_struct_0(X142)
| v2_orders_2(k2_yellow_2(X142,X142,X143)) )
& ( ~ m1_relset_1(X143,u1_struct_0(X142),u1_struct_0(X142))
| ~ v7_waybel_1(X143,X142)
| ~ v1_funct_2(X143,u1_struct_0(X142),u1_struct_0(X142))
| ~ v1_funct_1(X143)
| ~ l1_orders_2(X142)
| ~ v4_orders_2(X142)
| ~ v3_orders_2(X142)
| ~ v2_orders_2(X142)
| v3_struct_0(X142)
| v1_orders_2(k2_yellow_2(X142,X142,X143)) )
& ( ~ m1_relset_1(X143,u1_struct_0(X142),u1_struct_0(X142))
| ~ v7_waybel_1(X143,X142)
| ~ v1_funct_2(X143,u1_struct_0(X142),u1_struct_0(X142))
| ~ v1_funct_1(X143)
| ~ l1_orders_2(X142)
| ~ v4_orders_2(X142)
| ~ v3_orders_2(X142)
| ~ v2_orders_2(X142)
| v3_struct_0(X142)
| ~ v3_struct_0(k2_yellow_2(X142,X142,X143)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])]) ).
fof(c_0_42,plain,
! [X239,X240,X241] :
( v1_waybel34(k1_waybel34(X239,X240,X241),X240,X239)
| ~ v22_waybel_0(X241,X239,X240)
| ~ m2_relset_1(X241,u1_struct_0(X239),u1_struct_0(X240))
| ~ v17_waybel_0(X241,X239,X240)
| ~ v1_funct_2(X241,u1_struct_0(X239),u1_struct_0(X240))
| ~ v1_funct_1(X241)
| ~ l1_orders_2(X240)
| ~ v3_lattice3(X240)
| ~ v2_lattice3(X240)
| ~ v1_lattice3(X240)
| ~ v4_orders_2(X240)
| ~ v3_orders_2(X240)
| ~ v2_orders_2(X240)
| ~ l1_orders_2(X239)
| ~ v3_lattice3(X239)
| ~ v2_lattice3(X239)
| ~ v1_lattice3(X239)
| ~ v4_orders_2(X239)
| ~ v3_orders_2(X239)
| ~ v2_orders_2(X239) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t24_waybel34])])])]) ).
cnf(c_0_43,plain,
( ~ m1_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)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| m2_relset_1(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_44,plain,
( ~ 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)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| k1_waybel34(k2_yellow_2(X1,X1,X2),X1,k3_waybel_1(X1,X1,X2)) = k2_waybel_1(X1,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_45,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_46,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_47,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_48,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_49,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_50,plain,
( ~ 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)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| v17_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_51,plain,
( ~ 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)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v4_waybel_0(k2_yellow_2(X1,X1,X2),X1)
| v22_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_52,negated_conjecture,
v4_waybel_0(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_53,plain,
( ~ m1_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)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_funct_2(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_54,plain,
( ~ m1_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)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_funct_1(k3_waybel_1(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_55,plain,
( ~ m1_yellow_0(X2,X1)
| ~ l1_orders_2(X1)
| l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_56,negated_conjecture,
m1_yellow_0(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[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_25])]),c_0_37]) ).
cnf(c_0_57,plain,
( ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v6_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ 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)
| v3_lattice3(k2_yellow_2(X1,X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_58,negated_conjecture,
v6_waybel_1(esk2_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(spm,[status(thm)],[c_0_39,c_0_34]),c_0_40]),c_0_35]),c_0_36]),c_0_25])]),c_0_37]) ).
cnf(c_0_59,plain,
( ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v6_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ 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)
| v2_lattice3(k2_yellow_2(X1,X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_60,plain,
( ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v6_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ 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)
| v1_lattice3(k2_yellow_2(X1,X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_61,plain,
( ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| v4_orders_2(k2_yellow_2(X1,X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_62,plain,
( ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| v3_orders_2(k2_yellow_2(X1,X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_63,plain,
( ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| v2_orders_2(k2_yellow_2(X1,X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_64,plain,
( ~ v22_waybel_0(X3,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v17_waybel_0(X3,X1,X2)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ 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)
| v1_waybel34(k1_waybel34(X1,X2,X3),X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_65,negated_conjecture,
m2_relset_1(k3_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_34]),c_0_35]),c_0_36]),c_0_25])]),c_0_37]) ).
cnf(c_0_66,negated_conjecture,
k1_waybel34(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0,k3_waybel_1(esk1_0,esk1_0,esk2_0)) = k2_waybel_1(esk1_0,esk1_0,esk2_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(spm,[status(thm)],[c_0_44,c_0_22]),c_0_40]),c_0_35]),c_0_36]),c_0_25]),c_0_45]),c_0_46]),c_0_24]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_67,negated_conjecture,
v17_waybel_0(k3_waybel_1(esk1_0,esk1_0,esk2_0),k2_yellow_2(esk1_0,esk1_0,esk2_0),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(spm,[status(thm)],[c_0_50,c_0_22]),c_0_40]),c_0_35]),c_0_36]),c_0_25]),c_0_45]),c_0_46]),c_0_24]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_68,negated_conjecture,
v22_waybel_0(k3_waybel_1(esk1_0,esk1_0,esk2_0),k2_yellow_2(esk1_0,esk1_0,esk2_0),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_51,c_0_22]),c_0_52]),c_0_40]),c_0_35]),c_0_36]),c_0_25]),c_0_45]),c_0_46]),c_0_24]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_69,negated_conjecture,
v1_funct_2(k3_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_34]),c_0_35]),c_0_36]),c_0_25])]),c_0_37]) ).
cnf(c_0_70,negated_conjecture,
v1_funct_1(k3_waybel_1(esk1_0,esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_34]),c_0_35]),c_0_36]),c_0_25])]),c_0_37]) ).
cnf(c_0_71,negated_conjecture,
l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_25])]) ).
cnf(c_0_72,negated_conjecture,
v3_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_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(spm,[status(thm)],[c_0_57,c_0_34]),c_0_58]),c_0_35]),c_0_36]),c_0_25]),c_0_45]),c_0_46]),c_0_24]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_73,negated_conjecture,
v2_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_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(spm,[status(thm)],[c_0_59,c_0_34]),c_0_58]),c_0_35]),c_0_36]),c_0_25]),c_0_45]),c_0_46]),c_0_24]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_74,negated_conjecture,
v1_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_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(spm,[status(thm)],[c_0_60,c_0_34]),c_0_58]),c_0_35]),c_0_36]),c_0_25]),c_0_45]),c_0_46]),c_0_24]),c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_75,negated_conjecture,
v4_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_34]),c_0_40]),c_0_35]),c_0_36]),c_0_25]),c_0_47]),c_0_48]),c_0_49])]),c_0_37]) ).
cnf(c_0_76,negated_conjecture,
v3_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_34]),c_0_40]),c_0_35]),c_0_36]),c_0_25]),c_0_47]),c_0_48]),c_0_49])]),c_0_37]) ).
cnf(c_0_77,negated_conjecture,
v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_34]),c_0_40]),c_0_35]),c_0_36]),c_0_25]),c_0_47]),c_0_48]),c_0_49])]),c_0_37]) ).
cnf(c_0_78,negated_conjecture,
~ v1_waybel34(k2_waybel_1(esk1_0,esk1_0,esk2_0),esk1_0,k2_yellow_2(esk1_0,esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_79,negated_conjecture,
$false,
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(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_25]),c_0_71]),c_0_45]),c_0_72]),c_0_46]),c_0_73]),c_0_24]),c_0_74]),c_0_47]),c_0_75]),c_0_48]),c_0_76]),c_0_49]),c_0_77])]),c_0_78]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT369+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.30 % Computer : n012.cluster.edu
% 0.06/0.30 % Model : x86_64 x86_64
% 0.06/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.30 % Memory : 8046.5625MB
% 0.06/0.30 % OS : Linux 6.8.0-71-generic
% 0.06/0.30 % CPULimit : 300
% 0.06/0.30 % WCLimit : 300
% 0.06/0.30 % DateTime : Sun Sep 20 23:52:23 UTC 2026
% 0.06/0.31 % CPUTime :
% 0.06/0.31 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.33 Running first-order theorem proving
% 0.08/0.33 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
% 2.78/0.74 % Version: 3.5.1
% 2.78/0.74 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.78/0.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.78/0.74 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.78/0.74 % Starting new_bool_3 with 300s (1) cores
% 2.78/0.74 % Starting new_bool_1 with 300s (1) cores
% 2.78/0.74 % Starting sh5l with 300s (1) cores
% 2.78/0.74 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1159735 completed with status 0
% 2.78/0.74 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 2.78/0.74 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.78/0.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.78/0.74 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.78/0.74 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.78/0.74 % No SInE strategy applied
% 2.78/0.74 % Search class: FGHSM-FSLM31-MFFFFFNN
% 2.78/0.74 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 2.78/0.74 % Starting SubtermCWHack with 136s (1) cores
% 2.78/0.74 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.78/0.74 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 2.78/0.74 % Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 2.78/0.74 % Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 2.78/0.74 % G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with pid 1159743 completed with status 0
% 2.78/0.74 % Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 2.78/0.74 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.78/0.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.78/0.74 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.78/0.74 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.78/0.74 % No SInE strategy applied
% 2.78/0.74 % Search class: FGHSM-FSLM31-MFFFFFNN
% 2.78/0.74 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 2.78/0.74 % Starting SubtermCWHack with 136s (1) cores
% 2.78/0.74 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.78/0.74 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 2.78/0.74 % Preprocessing time : 0.005 s
% 2.78/0.74 % Presaturation interreduction done
% 2.78/0.74
% 2.78/0.74 % Proof found!
% 2.78/0.74 % SZS status Theorem
% 2.78/0.74 % SZS output start CNFRefutation
% See solution above
% 2.78/0.74 % Parsed axioms : 145
% 2.78/0.74 % Removed by relevancy pruning/SinE : 0
% 2.78/0.74 % Initial clauses : 578
% 2.78/0.74 % Removed in clause preprocessing : 63
% 2.78/0.74 % Initial clauses in saturation : 515
% 2.78/0.74 % Processed clauses : 3383
% 2.78/0.74 % ...of these trivial : 67
% 2.78/0.74 % ...subsumed : 459
% 2.78/0.74 % ...remaining for further processing : 2857
% 2.78/0.74 % Other redundant clauses eliminated : 35
% 2.78/0.74 % Clauses deleted for lack of memory : 0
% 2.78/0.74 % Backward-subsumed : 31
% 2.78/0.74 % Backward-rewritten : 64
% 2.78/0.74 % Generated clauses : 12865
% 2.78/0.74 % ...of the previous two non-redundant : 11754
% 2.78/0.74 % ...aggressively subsumed : 0
% 2.78/0.74 % Contextual simplify-reflections : 16
% 2.78/0.74 % Paramodulations : 12777
% 2.78/0.74 % Factorizations : 18
% 2.78/0.74 % NegExts : 0
% 2.78/0.74 % Equation resolutions : 70
% 2.78/0.74 % Disequality decompositions : 0
% 2.78/0.74 % Total rewrite steps : 28319
% 2.78/0.74 % ...of those cached : 27676
% 2.78/0.74 % Propositional unsat checks : 0
% 2.78/0.74 % Propositional check models : 0
% 2.78/0.74 % Propositional check unsatisfiable : 0
% 2.78/0.74 % Propositional clauses : 0
% 2.78/0.74 % Propositional clauses after purity: 0
% 2.78/0.74 % Propositional unsat core size : 0
% 2.78/0.74 % Propositional preprocessing time : 0.000
% 2.78/0.74 % Propositional encoding time : 0.000
% 2.78/0.74 % Propositional solver time : 0.000
% 2.78/0.74 % Success case prop preproc time : 0.000
% 2.78/0.74 % Success case prop encoding time : 0.000
% 2.78/0.74 % Success case prop solver time : 0.000
% 2.78/0.74 % Current number of processed clauses : 2312
% 2.78/0.74 % Positive orientable unit clauses : 1248
% 2.78/0.74 % Positive unorientable unit clauses: 0
% 2.78/0.74 % Negative unit clauses : 99
% 2.78/0.74 % Non-unit-clauses : 965
% 2.78/0.74 % Current number of unprocessed clauses: 9290
% 2.78/0.74 % ...number of literals in the above : 56706
% 2.78/0.74 % Current number of archived formulas : 0
% 2.78/0.74 % Current number of archived clauses : 545
% 2.78/0.74 % Clause-clause subsumption calls (NU) : 688518
% 2.78/0.74 % Rec. Clause-clause subsumption calls : 75440
% 2.78/0.74 % Non-unit clause-clause subsumptions : 271
% 2.78/0.74 % Unit Clause-clause subsumption calls : 103438
% 2.78/0.74 % Rewrite failures with RHS unbound : 0
% 2.78/0.74 % BW rewrite match attempts : 1059
% 2.78/0.74 % BW rewrite match successes : 28
% 2.78/0.74 % Condensation attempts : 0
% 2.78/0.74 % Condensation successes : 0
% 2.78/0.74 % Termbank termtop insertions : 622301
% 2.78/0.74 % Search garbage collected termcells : 6270
% 2.78/0.74
% 2.78/0.74 % -------------------------------------------------
% 2.78/0.74 % User time : 0.372 s
% 2.78/0.74 % System time : 0.023 s
% 2.78/0.74 % Total time : 0.395 s
% 2.78/0.74 % Maximum resident set size: 5384 pages
% 2.78/0.74
% 2.78/0.74 % -------------------------------------------------
% 2.78/0.74 % User time : 1.855 s
% 2.78/0.74 % System time : 0.069 s
% 2.78/0.74 % Total time : 1.924 s
% 2.78/0.74 % Maximum resident set size: 4864 pages
% 2.78/0.74 % E exiting
%------------------------------------------------------------------------------