%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT356+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:38:18 PM UTC 2026
% Result : Theorem 1.70s 1.85s
% Output : CNFRefutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 56 ( 9 unt; 0 def)
% Number of atoms : 533 ( 27 equ)
% Maximal formula atoms : 72 ( 9 avg)
% Number of connectives : 786 ( 309 ~; 318 |; 130 &)
% ( 2 <=>; 27 =>; 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 : 70 ( 0 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t6_waybel34,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(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_yellow_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( ( ~ v3_struct_0(X1)
& v3_lattice3(X1) )
=> ( ~ v3_struct_0(X1)
& v1_lattice3(X1)
& v2_lattice3(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_yellow_0) ).
fof(fc4_waybel10,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_relat_1(k7_grcat_1(X1))
& v1_funct_1(k7_grcat_1(X1))
& v2_funct_1(k7_grcat_1(X1))
& ~ v1_xboole_0(k7_grcat_1(X1))
& v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v1_partfun1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v11_quantal1(k7_grcat_1(X1))
& v5_orders_3(k7_grcat_1(X1),X1,X1)
& v17_waybel_0(k7_grcat_1(X1),X1,X1)
& v18_waybel_0(k7_grcat_1(X1),X1,X1)
& v19_waybel_0(k7_grcat_1(X1),X1,X1)
& v20_waybel_0(k7_grcat_1(X1),X1,X1)
& v21_waybel_0(k7_grcat_1(X1),X1,X1)
& v22_waybel_0(k7_grcat_1(X1),X1,X1)
& v23_waybel_0(k7_grcat_1(X1),X1,X1)
& v6_waybel_1(k7_grcat_1(X1),X1)
& v7_waybel_1(k7_grcat_1(X1),X1)
& v8_waybel_1(k7_grcat_1(X1),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_waybel10) ).
fof(d1_waybel34,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( ( v3_lattice3(X1)
& v3_lattice3(X2)
& v17_waybel_0(X3,X1,X2) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1)) )
=> ( 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] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) )
=> ( ( v3_lattice3(X1)
& v3_lattice3(X2)
& v18_waybel_0(X3,X2,X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( X4 = k2_waybel34(X1,X2,X3)
<=> v3_waybel_1(k1_waybel_1(X1,X2,X4,X3),X1,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_waybel34) ).
fof(fc2_waybel_1,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_relat_1(k7_grcat_1(X1))
& v1_funct_1(k7_grcat_1(X1))
& v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v23_waybel_0(k7_grcat_1(X1),X1,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_waybel_1) ).
fof(cc2_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(t7_waybel34,conjecture,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ( k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
& k2_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_waybel34) ).
fof(dt_k7_grcat_1,axiom,
! [X1] :
( l1_struct_0(X1)
=> ( v1_funct_1(k7_grcat_1(X1))
& v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_grcat_1) ).
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(c_0_10,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(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_11,plain,
! [X1] :
( l1_orders_2(X1)
=> ( ( ~ v3_struct_0(X1)
& v3_lattice3(X1) )
=> ( ~ v3_struct_0(X1)
& v1_lattice3(X1)
& v2_lattice3(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc1_yellow_0]) ).
fof(c_0_12,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_relat_1(k7_grcat_1(X1))
& v1_funct_1(k7_grcat_1(X1))
& v2_funct_1(k7_grcat_1(X1))
& ~ v1_xboole_0(k7_grcat_1(X1))
& v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v1_partfun1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v11_quantal1(k7_grcat_1(X1))
& v5_orders_3(k7_grcat_1(X1),X1,X1)
& v17_waybel_0(k7_grcat_1(X1),X1,X1)
& v18_waybel_0(k7_grcat_1(X1),X1,X1)
& v19_waybel_0(k7_grcat_1(X1),X1,X1)
& v20_waybel_0(k7_grcat_1(X1),X1,X1)
& v21_waybel_0(k7_grcat_1(X1),X1,X1)
& v22_waybel_0(k7_grcat_1(X1),X1,X1)
& v23_waybel_0(k7_grcat_1(X1),X1,X1)
& v6_waybel_1(k7_grcat_1(X1),X1)
& v7_waybel_1(k7_grcat_1(X1),X1)
& v8_waybel_1(k7_grcat_1(X1),X1) ) ),
inference(fof_simplification,[status(thm)],[fc4_waybel10]) ).
fof(c_0_13,plain,
! [X303,X304,X305,X306] :
( ( X306 != k1_waybel34(X303,X304,X305)
| v3_waybel_1(k1_waybel_1(X303,X304,X305,X306),X303,X304)
| ~ v1_funct_1(X306)
| ~ v1_funct_2(X306,u1_struct_0(X304),u1_struct_0(X303))
| ~ m2_relset_1(X306,u1_struct_0(X304),u1_struct_0(X303))
| ~ v3_lattice3(X303)
| ~ v3_lattice3(X304)
| ~ v17_waybel_0(X305,X303,X304)
| ~ v1_funct_1(X305)
| ~ v1_funct_2(X305,u1_struct_0(X303),u1_struct_0(X304))
| ~ m2_relset_1(X305,u1_struct_0(X303),u1_struct_0(X304))
| ~ v2_orders_2(X304)
| ~ v3_orders_2(X304)
| ~ v4_orders_2(X304)
| ~ v1_lattice3(X304)
| ~ v2_lattice3(X304)
| ~ l1_orders_2(X304)
| ~ v2_orders_2(X303)
| ~ v3_orders_2(X303)
| ~ v4_orders_2(X303)
| ~ v1_lattice3(X303)
| ~ v2_lattice3(X303)
| ~ l1_orders_2(X303) )
& ( ~ v3_waybel_1(k1_waybel_1(X303,X304,X305,X306),X303,X304)
| X306 = k1_waybel34(X303,X304,X305)
| ~ v1_funct_1(X306)
| ~ v1_funct_2(X306,u1_struct_0(X304),u1_struct_0(X303))
| ~ m2_relset_1(X306,u1_struct_0(X304),u1_struct_0(X303))
| ~ v3_lattice3(X303)
| ~ v3_lattice3(X304)
| ~ v17_waybel_0(X305,X303,X304)
| ~ v1_funct_1(X305)
| ~ v1_funct_2(X305,u1_struct_0(X303),u1_struct_0(X304))
| ~ m2_relset_1(X305,u1_struct_0(X303),u1_struct_0(X304))
| ~ v2_orders_2(X304)
| ~ v3_orders_2(X304)
| ~ v4_orders_2(X304)
| ~ v1_lattice3(X304)
| ~ v2_lattice3(X304)
| ~ l1_orders_2(X304)
| ~ v2_orders_2(X303)
| ~ v3_orders_2(X303)
| ~ v4_orders_2(X303)
| ~ v1_lattice3(X303)
| ~ v2_lattice3(X303)
| ~ l1_orders_2(X303) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_waybel34])])])]) ).
fof(c_0_14,plain,
! [X307,X308,X309,X310] :
( ( X310 != k2_waybel34(X307,X308,X309)
| v3_waybel_1(k1_waybel_1(X307,X308,X310,X309),X307,X308)
| ~ v1_funct_1(X310)
| ~ v1_funct_2(X310,u1_struct_0(X307),u1_struct_0(X308))
| ~ m2_relset_1(X310,u1_struct_0(X307),u1_struct_0(X308))
| ~ v3_lattice3(X307)
| ~ v3_lattice3(X308)
| ~ v18_waybel_0(X309,X308,X307)
| ~ v1_funct_1(X309)
| ~ v1_funct_2(X309,u1_struct_0(X308),u1_struct_0(X307))
| ~ m2_relset_1(X309,u1_struct_0(X308),u1_struct_0(X307))
| ~ v2_orders_2(X308)
| ~ v3_orders_2(X308)
| ~ v4_orders_2(X308)
| ~ v1_lattice3(X308)
| ~ v2_lattice3(X308)
| ~ l1_orders_2(X308)
| ~ v2_orders_2(X307)
| ~ v3_orders_2(X307)
| ~ v4_orders_2(X307)
| ~ v1_lattice3(X307)
| ~ v2_lattice3(X307)
| ~ l1_orders_2(X307) )
& ( ~ v3_waybel_1(k1_waybel_1(X307,X308,X310,X309),X307,X308)
| X310 = k2_waybel34(X307,X308,X309)
| ~ v1_funct_1(X310)
| ~ v1_funct_2(X310,u1_struct_0(X307),u1_struct_0(X308))
| ~ m2_relset_1(X310,u1_struct_0(X307),u1_struct_0(X308))
| ~ v3_lattice3(X307)
| ~ v3_lattice3(X308)
| ~ v18_waybel_0(X309,X308,X307)
| ~ v1_funct_1(X309)
| ~ v1_funct_2(X309,u1_struct_0(X308),u1_struct_0(X307))
| ~ m2_relset_1(X309,u1_struct_0(X308),u1_struct_0(X307))
| ~ v2_orders_2(X308)
| ~ v3_orders_2(X308)
| ~ v4_orders_2(X308)
| ~ v1_lattice3(X308)
| ~ v2_lattice3(X308)
| ~ l1_orders_2(X308)
| ~ v2_orders_2(X307)
| ~ v3_orders_2(X307)
| ~ v4_orders_2(X307)
| ~ v1_lattice3(X307)
| ~ v2_lattice3(X307)
| ~ l1_orders_2(X307) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_waybel34])])])]) ).
fof(c_0_15,plain,
! [X435] :
( v3_struct_0(X435)
| ~ l1_orders_2(X435)
| v3_waybel_1(k1_waybel_1(X435,X435,k7_grcat_1(X435),k7_grcat_1(X435)),X435,X435) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
fof(c_0_16,plain,
! [X270] :
( ( ~ v3_struct_0(X270)
| v3_struct_0(X270)
| ~ v3_lattice3(X270)
| ~ l1_orders_2(X270) )
& ( v1_lattice3(X270)
| v3_struct_0(X270)
| ~ v3_lattice3(X270)
| ~ l1_orders_2(X270) )
& ( v2_lattice3(X270)
| v3_struct_0(X270)
| ~ v3_lattice3(X270)
| ~ l1_orders_2(X270) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_17,plain,
! [X366] :
( ( v1_relat_1(k7_grcat_1(X366))
| ~ l1_orders_2(X366) )
& ( v1_funct_1(k7_grcat_1(X366))
| ~ l1_orders_2(X366) )
& ( v1_funct_2(k7_grcat_1(X366),u1_struct_0(X366),u1_struct_0(X366))
| ~ l1_orders_2(X366) )
& ( v23_waybel_0(k7_grcat_1(X366),X366,X366)
| ~ l1_orders_2(X366) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_waybel_1])])]) ).
fof(c_0_18,plain,
! [X371] :
( ( v1_relat_1(k7_grcat_1(X371))
| v3_struct_0(X371)
| ~ v2_orders_2(X371)
| ~ l1_orders_2(X371) )
& ( v1_funct_1(k7_grcat_1(X371))
| v3_struct_0(X371)
| ~ v2_orders_2(X371)
| ~ l1_orders_2(X371) )
& ( v2_funct_1(k7_grcat_1(X371))
| v3_struct_0(X371)
| ~ v2_orders_2(X371)
| ~ l1_orders_2(X371) )
& ( ~ v1_xboole_0(k7_grcat_1(X371))
| v3_struct_0(X371)
| ~ v2_orders_2(X371)
| ~ l1_orders_2(X371) )
& ( v1_funct_2(k7_grcat_1(X371),u1_struct_0(X371),u1_struct_0(X371))
| v3_struct_0(X371)
| ~ v2_orders_2(X371)
| ~ l1_orders_2(X371) )
& ( v1_partfun1(k7_grcat_1(X371),u1_struct_0(X371),u1_struct_0(X371))
| v3_struct_0(X371)
| ~ v2_orders_2(X371)
| ~ l1_orders_2(X371) )
& ( v11_quantal1(k7_grcat_1(X371))
| v3_struct_0(X371)
| ~ v2_orders_2(X371)
| ~ l1_orders_2(X371) )
& ( v5_orders_3(k7_grcat_1(X371),X371,X371)
| v3_struct_0(X371)
| ~ v2_orders_2(X371)
| ~ l1_orders_2(X371) )
& ( v17_waybel_0(k7_grcat_1(X371),X371,X371)
| v3_struct_0(X371)
| ~ v2_orders_2(X371)
| ~ l1_orders_2(X371) )
& ( v18_waybel_0(k7_grcat_1(X371),X371,X371)
| v3_struct_0(X371)
| ~ v2_orders_2(X371)
| ~ l1_orders_2(X371) )
& ( v19_waybel_0(k7_grcat_1(X371),X371,X371)
| v3_struct_0(X371)
| ~ v2_orders_2(X371)
| ~ l1_orders_2(X371) )
& ( v20_waybel_0(k7_grcat_1(X371),X371,X371)
| v3_struct_0(X371)
| ~ v2_orders_2(X371)
| ~ l1_orders_2(X371) )
& ( v21_waybel_0(k7_grcat_1(X371),X371,X371)
| v3_struct_0(X371)
| ~ v2_orders_2(X371)
| ~ l1_orders_2(X371) )
& ( v22_waybel_0(k7_grcat_1(X371),X371,X371)
| v3_struct_0(X371)
| ~ v2_orders_2(X371)
| ~ l1_orders_2(X371) )
& ( v23_waybel_0(k7_grcat_1(X371),X371,X371)
| v3_struct_0(X371)
| ~ v2_orders_2(X371)
| ~ l1_orders_2(X371) )
& ( v6_waybel_1(k7_grcat_1(X371),X371)
| v3_struct_0(X371)
| ~ v2_orders_2(X371)
| ~ l1_orders_2(X371) )
& ( v7_waybel_1(k7_grcat_1(X371),X371)
| v3_struct_0(X371)
| ~ v2_orders_2(X371)
| ~ l1_orders_2(X371) )
& ( v8_waybel_1(k7_grcat_1(X371),X371)
| v3_struct_0(X371)
| ~ v2_orders_2(X371)
| ~ l1_orders_2(X371) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_19,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc2_lattice3]) ).
fof(c_0_20,negated_conjecture,
~ ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ( k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
& k2_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1) ) ),
inference(assume_negation,[status(cth)],[t7_waybel34]) ).
cnf(c_0_21,plain,
( X4 = k1_waybel34(X1,X2,X3)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v17_waybel_0(X3,X1,X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,plain,
( v3_waybel_1(k1_waybel_1(X2,X3,X1,X4),X2,X3)
| X1 != k2_waybel34(X2,X3,X4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X3)
| ~ v18_waybel_0(X4,X3,X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v1_lattice3(X3)
| ~ v2_lattice3(X3)
| ~ l1_orders_2(X3)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_23,plain,
! [X323] :
( ( v1_funct_1(k7_grcat_1(X323))
| ~ l1_struct_0(X323) )
& ( v1_funct_2(k7_grcat_1(X323),u1_struct_0(X323),u1_struct_0(X323))
| ~ l1_struct_0(X323) )
& ( m2_relset_1(k7_grcat_1(X323),u1_struct_0(X323),u1_struct_0(X323))
| ~ l1_struct_0(X323) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_grcat_1])])]) ).
fof(c_0_24,plain,
! [X324] :
( ~ l1_orders_2(X324)
| l1_struct_0(X324) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
cnf(c_0_25,plain,
( X3 = k2_waybel34(X1,X2,X4)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v18_waybel_0(X4,X2,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_26,plain,
( v3_struct_0(X1)
| v3_waybel_1(k1_waybel_1(X1,X1,k7_grcat_1(X1),k7_grcat_1(X1)),X1,X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_27,plain,
( v1_lattice3(X1)
| v3_struct_0(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_28,plain,
( v2_lattice3(X1)
| v3_struct_0(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_29,plain,
( v1_funct_1(k7_grcat_1(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_30,plain,
( v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_31,plain,
( v18_waybel_0(k7_grcat_1(X1),X1,X1)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_32,plain,
! [X277] :
( ~ l1_orders_2(X277)
| ~ v2_lattice3(X277)
| ~ v3_struct_0(X277) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])]) ).
fof(c_0_33,negated_conjecture,
( v2_orders_2(esk1_0)
& v3_orders_2(esk1_0)
& v4_orders_2(esk1_0)
& v1_lattice3(esk1_0)
& v2_lattice3(esk1_0)
& v3_lattice3(esk1_0)
& l1_orders_2(esk1_0)
& ( k1_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) != k7_grcat_1(esk1_0)
| k2_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) != k7_grcat_1(esk1_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
cnf(c_0_34,plain,
( X1 = k1_waybel34(X2,X3,X4)
| X4 != k2_waybel34(X2,X3,X1)
| ~ m2_relset_1(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ v18_waybel_0(X1,X3,X2)
| ~ v17_waybel_0(X4,X2,X3)
| ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X4)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_35,plain,
( m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_36,plain,
( v1_funct_1(k7_grcat_1(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_37,plain,
( v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_38,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_39,plain,
( k2_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]) ).
cnf(c_0_40,plain,
( ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_42,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_43,plain,
( k1_waybel34(X1,X1,X2) = k7_grcat_1(X1)
| X2 != k2_waybel34(X1,X1,k7_grcat_1(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v18_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ v17_waybel_0(X2,X1,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) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37]),c_0_38]) ).
cnf(c_0_44,negated_conjecture,
( k1_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) != k7_grcat_1(esk1_0)
| k2_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) != k7_grcat_1(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_45,plain,
( k2_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_35]),c_0_38]) ).
cnf(c_0_46,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_47,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_48,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_49,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_50,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]) ).
cnf(c_0_51,plain,
( k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| k2_waybel34(X1,X1,k7_grcat_1(X1)) != k7_grcat_1(X1)
| ~ v18_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ v17_waybel_0(k7_grcat_1(X1),X1,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) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_35]),c_0_36]),c_0_37]),c_0_38]) ).
cnf(c_0_52,plain,
( v17_waybel_0(k7_grcat_1(X1),X1,X1)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_53,negated_conjecture,
k1_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) != k7_grcat_1(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_42]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]),c_0_50]) ).
cnf(c_0_54,plain,
( k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_45]),c_0_27]),c_0_28]),c_0_52]),c_0_31]) ).
cnf(c_0_55,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(spm,[status(thm)],[c_0_53,c_0_54]),c_0_42]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]),c_0_50]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT356+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.34 % Computer : n022.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon May 4 21:35:21 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.70/1.85 % Version : CSE_E---1.7
% 1.70/1.85 % Problem : theBenchmark.p
% 1.70/1.85 % SZS status Theorem for theBenchmark.p
% 1.70/1.85 % SZS output start CNFRefutation
% See solution above
% 1.70/1.86 % Total time : 1.427s
%------------------------------------------------------------------------------