%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT356+3 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n021.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 36.58s 27.21s
% Output : CNFRefutation 36.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 53 ( 9 unt; 0 def)
% Number of atoms : 476 ( 18 equ)
% Maximal formula atoms : 48 ( 8 avg)
% Number of connectives : 694 ( 271 ~; 275 |; 107 &)
% ( 4 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-4 aty)
% Number of variables : 80 ( 0 sgn 52 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d12_waybel_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(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)) )
=> ( v5_waybel_1(X3,X1,X2)
<=> ? [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))
& v3_waybel_1(k1_waybel_1(X1,X2,X4,X3),X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+485.ax',d12_waybel_1) ).
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/sandbox/benchmark/theBenchmark.p',t6_waybel34) ).
fof(t14_waybel_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(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)) )
=> ( v5_waybel_1(X3,X1,X2)
=> v18_waybel_0(X3,X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+485.ax',t14_waybel_1) ).
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/sandbox/benchmark/Axioms/SET007/SET007+485.ax',fc2_waybel_1) ).
fof(cc1_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+335.ax',cc1_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/sandbox/benchmark/theBenchmark.p',t7_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/sandbox/benchmark/theBenchmark.p',d2_waybel34) ).
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/sandbox/benchmark/theBenchmark.p',d1_waybel34) ).
fof(t3_waybel22,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> v17_waybel_0(k7_grcat_1(X1),X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+561.ax',t3_waybel22) ).
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/sandbox/benchmark/Axioms/SET007/SET007+311.ax',dt_k7_grcat_1) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+218.ax',dt_l1_orders_2) ).
fof(c_0_11,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(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)) )
=> ( v5_waybel_1(X3,X1,X2)
<=> ? [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))
& v3_waybel_1(k1_waybel_1(X1,X2,X4,X3),X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d12_waybel_1]) ).
fof(c_0_12,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_13,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(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)) )
=> ( v5_waybel_1(X3,X1,X2)
=> v18_waybel_0(X3,X2,X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[t14_waybel_1]) ).
fof(c_0_14,plain,
! [X1821,X1822,X1823,X1825] :
( ( v1_funct_1(esk84_3(X1821,X1822,X1823))
| ~ v5_waybel_1(X1823,X1821,X1822)
| ~ v1_funct_1(X1823)
| ~ v1_funct_2(X1823,u1_struct_0(X1822),u1_struct_0(X1821))
| ~ m2_relset_1(X1823,u1_struct_0(X1822),u1_struct_0(X1821))
| v3_struct_0(X1822)
| ~ l1_orders_2(X1822)
| v3_struct_0(X1821)
| ~ l1_orders_2(X1821) )
& ( v1_funct_2(esk84_3(X1821,X1822,X1823),u1_struct_0(X1821),u1_struct_0(X1822))
| ~ v5_waybel_1(X1823,X1821,X1822)
| ~ v1_funct_1(X1823)
| ~ v1_funct_2(X1823,u1_struct_0(X1822),u1_struct_0(X1821))
| ~ m2_relset_1(X1823,u1_struct_0(X1822),u1_struct_0(X1821))
| v3_struct_0(X1822)
| ~ l1_orders_2(X1822)
| v3_struct_0(X1821)
| ~ l1_orders_2(X1821) )
& ( m2_relset_1(esk84_3(X1821,X1822,X1823),u1_struct_0(X1821),u1_struct_0(X1822))
| ~ v5_waybel_1(X1823,X1821,X1822)
| ~ v1_funct_1(X1823)
| ~ v1_funct_2(X1823,u1_struct_0(X1822),u1_struct_0(X1821))
| ~ m2_relset_1(X1823,u1_struct_0(X1822),u1_struct_0(X1821))
| v3_struct_0(X1822)
| ~ l1_orders_2(X1822)
| v3_struct_0(X1821)
| ~ l1_orders_2(X1821) )
& ( v3_waybel_1(k1_waybel_1(X1821,X1822,esk84_3(X1821,X1822,X1823),X1823),X1821,X1822)
| ~ v5_waybel_1(X1823,X1821,X1822)
| ~ v1_funct_1(X1823)
| ~ v1_funct_2(X1823,u1_struct_0(X1822),u1_struct_0(X1821))
| ~ m2_relset_1(X1823,u1_struct_0(X1822),u1_struct_0(X1821))
| v3_struct_0(X1822)
| ~ l1_orders_2(X1822)
| v3_struct_0(X1821)
| ~ l1_orders_2(X1821) )
& ( ~ v1_funct_1(X1825)
| ~ v1_funct_2(X1825,u1_struct_0(X1821),u1_struct_0(X1822))
| ~ m2_relset_1(X1825,u1_struct_0(X1821),u1_struct_0(X1822))
| ~ v3_waybel_1(k1_waybel_1(X1821,X1822,X1825,X1823),X1821,X1822)
| v5_waybel_1(X1823,X1821,X1822)
| ~ v1_funct_1(X1823)
| ~ v1_funct_2(X1823,u1_struct_0(X1822),u1_struct_0(X1821))
| ~ m2_relset_1(X1823,u1_struct_0(X1822),u1_struct_0(X1821))
| v3_struct_0(X1822)
| ~ l1_orders_2(X1822)
| v3_struct_0(X1821)
| ~ l1_orders_2(X1821) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])]) ).
fof(c_0_15,plain,
! [X1598] :
( v3_struct_0(X1598)
| ~ l1_orders_2(X1598)
| v3_waybel_1(k1_waybel_1(X1598,X1598,k7_grcat_1(X1598),k7_grcat_1(X1598)),X1598,X1598) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).
fof(c_0_16,plain,
! [X958] :
( ( v1_relat_1(k7_grcat_1(X958))
| ~ l1_orders_2(X958) )
& ( v1_funct_1(k7_grcat_1(X958))
| ~ l1_orders_2(X958) )
& ( v1_funct_2(k7_grcat_1(X958),u1_struct_0(X958),u1_struct_0(X958))
| ~ l1_orders_2(X958) )
& ( v23_waybel_0(k7_grcat_1(X958),X958,X958)
| ~ l1_orders_2(X958) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_waybel_1])])]) ).
fof(c_0_17,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattice3]) ).
fof(c_0_18,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]) ).
fof(c_0_19,plain,
! [X1826,X1827,X1828] :
( v3_struct_0(X1826)
| ~ v2_orders_2(X1826)
| ~ v3_orders_2(X1826)
| ~ v4_orders_2(X1826)
| ~ l1_orders_2(X1826)
| v3_struct_0(X1827)
| ~ v2_orders_2(X1827)
| ~ v3_orders_2(X1827)
| ~ v4_orders_2(X1827)
| ~ l1_orders_2(X1827)
| ~ v1_funct_1(X1828)
| ~ v1_funct_2(X1828,u1_struct_0(X1827),u1_struct_0(X1826))
| ~ m2_relset_1(X1828,u1_struct_0(X1827),u1_struct_0(X1826))
| ~ v5_waybel_1(X1828,X1826,X1827)
| v18_waybel_0(X1828,X1827,X1826) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
cnf(c_0_20,plain,
( v5_waybel_1(X4,X2,X3)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ 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_waybel_1(k1_waybel_1(X2,X3,X1,X4),X2,X3)
| ~ 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))
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,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_22,plain,
( v1_funct_1(k7_grcat_1(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,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_16]) ).
fof(c_0_24,plain,
! [X972,X973,X974,X975] :
( ( X975 != k2_waybel34(X972,X973,X974)
| v3_waybel_1(k1_waybel_1(X972,X973,X975,X974),X972,X973)
| ~ v1_funct_1(X975)
| ~ v1_funct_2(X975,u1_struct_0(X972),u1_struct_0(X973))
| ~ m2_relset_1(X975,u1_struct_0(X972),u1_struct_0(X973))
| ~ v3_lattice3(X972)
| ~ v3_lattice3(X973)
| ~ v18_waybel_0(X974,X973,X972)
| ~ v1_funct_1(X974)
| ~ v1_funct_2(X974,u1_struct_0(X973),u1_struct_0(X972))
| ~ m2_relset_1(X974,u1_struct_0(X973),u1_struct_0(X972))
| ~ v2_orders_2(X973)
| ~ v3_orders_2(X973)
| ~ v4_orders_2(X973)
| ~ v1_lattice3(X973)
| ~ v2_lattice3(X973)
| ~ l1_orders_2(X973)
| ~ v2_orders_2(X972)
| ~ v3_orders_2(X972)
| ~ v4_orders_2(X972)
| ~ v1_lattice3(X972)
| ~ v2_lattice3(X972)
| ~ l1_orders_2(X972) )
& ( ~ v3_waybel_1(k1_waybel_1(X972,X973,X975,X974),X972,X973)
| X975 = k2_waybel34(X972,X973,X974)
| ~ v1_funct_1(X975)
| ~ v1_funct_2(X975,u1_struct_0(X972),u1_struct_0(X973))
| ~ m2_relset_1(X975,u1_struct_0(X972),u1_struct_0(X973))
| ~ v3_lattice3(X972)
| ~ v3_lattice3(X973)
| ~ v18_waybel_0(X974,X973,X972)
| ~ v1_funct_1(X974)
| ~ v1_funct_2(X974,u1_struct_0(X973),u1_struct_0(X972))
| ~ m2_relset_1(X974,u1_struct_0(X973),u1_struct_0(X972))
| ~ v2_orders_2(X973)
| ~ v3_orders_2(X973)
| ~ v4_orders_2(X973)
| ~ v1_lattice3(X973)
| ~ v2_lattice3(X973)
| ~ l1_orders_2(X973)
| ~ v2_orders_2(X972)
| ~ v3_orders_2(X972)
| ~ v4_orders_2(X972)
| ~ v1_lattice3(X972)
| ~ v2_lattice3(X972)
| ~ l1_orders_2(X972) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_waybel34])])])]) ).
fof(c_0_25,plain,
! [X989,X990,X991,X992] :
( ( X992 != k1_waybel34(X989,X990,X991)
| v3_waybel_1(k1_waybel_1(X989,X990,X991,X992),X989,X990)
| ~ v1_funct_1(X992)
| ~ v1_funct_2(X992,u1_struct_0(X990),u1_struct_0(X989))
| ~ m2_relset_1(X992,u1_struct_0(X990),u1_struct_0(X989))
| ~ v3_lattice3(X989)
| ~ v3_lattice3(X990)
| ~ v17_waybel_0(X991,X989,X990)
| ~ v1_funct_1(X991)
| ~ v1_funct_2(X991,u1_struct_0(X989),u1_struct_0(X990))
| ~ m2_relset_1(X991,u1_struct_0(X989),u1_struct_0(X990))
| ~ v2_orders_2(X990)
| ~ v3_orders_2(X990)
| ~ v4_orders_2(X990)
| ~ v1_lattice3(X990)
| ~ v2_lattice3(X990)
| ~ l1_orders_2(X990)
| ~ v2_orders_2(X989)
| ~ v3_orders_2(X989)
| ~ v4_orders_2(X989)
| ~ v1_lattice3(X989)
| ~ v2_lattice3(X989)
| ~ l1_orders_2(X989) )
& ( ~ v3_waybel_1(k1_waybel_1(X989,X990,X991,X992),X989,X990)
| X992 = k1_waybel34(X989,X990,X991)
| ~ v1_funct_1(X992)
| ~ v1_funct_2(X992,u1_struct_0(X990),u1_struct_0(X989))
| ~ m2_relset_1(X992,u1_struct_0(X990),u1_struct_0(X989))
| ~ v3_lattice3(X989)
| ~ v3_lattice3(X990)
| ~ v17_waybel_0(X991,X989,X990)
| ~ v1_funct_1(X991)
| ~ v1_funct_2(X991,u1_struct_0(X989),u1_struct_0(X990))
| ~ m2_relset_1(X991,u1_struct_0(X989),u1_struct_0(X990))
| ~ v2_orders_2(X990)
| ~ v3_orders_2(X990)
| ~ v4_orders_2(X990)
| ~ v1_lattice3(X990)
| ~ v2_lattice3(X990)
| ~ l1_orders_2(X990)
| ~ v2_orders_2(X989)
| ~ v3_orders_2(X989)
| ~ v4_orders_2(X989)
| ~ v1_lattice3(X989)
| ~ v2_lattice3(X989)
| ~ l1_orders_2(X989) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_waybel34])])])]) ).
fof(c_0_26,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> v17_waybel_0(k7_grcat_1(X1),X1,X1) ),
inference(fof_simplification,[status(thm)],[t3_waybel22]) ).
fof(c_0_27,plain,
! [X1007] :
( ~ l1_orders_2(X1007)
| ~ v1_lattice3(X1007)
| ~ v3_struct_0(X1007) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])]) ).
fof(c_0_28,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_18])])]) ).
cnf(c_0_29,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v18_waybel_0(X3,X2,X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ 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))
| ~ v5_waybel_1(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,plain,
( v5_waybel_1(k7_grcat_1(X1),X1,X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23]) ).
cnf(c_0_31,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_24]) ).
cnf(c_0_32,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_25]) ).
fof(c_0_33,plain,
! [X956] :
( ( v1_funct_1(k7_grcat_1(X956))
| ~ l1_struct_0(X956) )
& ( v1_funct_2(k7_grcat_1(X956),u1_struct_0(X956),u1_struct_0(X956))
| ~ l1_struct_0(X956) )
& ( m2_relset_1(k7_grcat_1(X956),u1_struct_0(X956),u1_struct_0(X956))
| ~ l1_struct_0(X956) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_grcat_1])])]) ).
fof(c_0_34,plain,
! [X967] :
( v3_struct_0(X967)
| ~ l1_orders_2(X967)
| v17_waybel_0(k7_grcat_1(X967),X967,X967) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])]) ).
fof(c_0_35,plain,
! [X1034] :
( ~ l1_orders_2(X1034)
| l1_struct_0(X1034) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
cnf(c_0_36,plain,
( ~ l1_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_38,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,plain,
( v18_waybel_0(k7_grcat_1(X1),X1,X1)
| v3_struct_0(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(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))
| ~ v1_funct_1(k7_grcat_1(X1)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_40,plain,
( k2_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ v18_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(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))
| ~ v1_funct_1(k7_grcat_1(X1)) ),
inference(spm,[status(thm)],[c_0_31,c_0_21]) ).
cnf(c_0_41,plain,
( k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ v17_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(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))
| ~ v1_funct_1(k7_grcat_1(X1)) ),
inference(spm,[status(thm)],[c_0_32,c_0_21]) ).
cnf(c_0_42,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_33]) ).
cnf(c_0_43,plain,
( v3_struct_0(X1)
| v17_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_44,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,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_28]) ).
cnf(c_0_46,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).
cnf(c_0_47,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_48,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_49,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_50,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_51,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_52,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_39,c_0_40,c_0_41,c_0_42,c_0_23,c_0_43,c_0_22,c_0_44,c_0_45,c_0_46,c_0_47,c_0_48,c_0_37,c_0_49,c_0_50,c_0_51,c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT356+3 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33 % Computer : n021.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 4 21:35:58 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 36.58/27.21 % Version : CSE_E---1.7
% 36.58/27.21 % Problem : theBenchmark.p
% 36.58/27.21 % SZS status Theorem for theBenchmark.p
% 36.58/27.21 % SZS output start CNFRefutation
% See solution above
% 36.58/27.28 % Total time : 24.126s
%------------------------------------------------------------------------------