TSTP Solution File: LAT356+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT356+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n011.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 : 600s
% DateTime : Sun Jul 17 04:47:44 EDT 2022
% Result : Theorem 0.23s 1.40s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 47 ( 9 unt; 0 def)
% Number of atoms : 432 ( 21 equ)
% Maximal formula atoms : 72 ( 9 avg)
% Number of connectives : 624 ( 239 ~; 255 |; 107 &)
% ( 2 <=>; 21 =>; 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 : 54 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d2_waybel34) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc1_yellow_0) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc2_waybel_1) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc4_waybel10) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k7_grcat_1) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_l1_orders_2) ).
fof(cc1_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc1_lattice3) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1_waybel34) ).
fof(c_0_10,plain,
! [X5,X6,X7,X8] :
( ( X8 != k2_waybel34(X5,X6,X7)
| v3_waybel_1(k1_waybel_1(X5,X6,X8,X7),X5,X6)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X5),u1_struct_0(X6))
| ~ m2_relset_1(X8,u1_struct_0(X5),u1_struct_0(X6))
| ~ v3_lattice3(X5)
| ~ v3_lattice3(X6)
| ~ v18_waybel_0(X7,X6,X5)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X6),u1_struct_0(X5))
| ~ m2_relset_1(X7,u1_struct_0(X6),u1_struct_0(X5))
| ~ v2_orders_2(X6)
| ~ v3_orders_2(X6)
| ~ v4_orders_2(X6)
| ~ v1_lattice3(X6)
| ~ v2_lattice3(X6)
| ~ l1_orders_2(X6)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5) )
& ( ~ v3_waybel_1(k1_waybel_1(X5,X6,X8,X7),X5,X6)
| X8 = k2_waybel34(X5,X6,X7)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X5),u1_struct_0(X6))
| ~ m2_relset_1(X8,u1_struct_0(X5),u1_struct_0(X6))
| ~ v3_lattice3(X5)
| ~ v3_lattice3(X6)
| ~ v18_waybel_0(X7,X6,X5)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X6),u1_struct_0(X5))
| ~ m2_relset_1(X7,u1_struct_0(X6),u1_struct_0(X5))
| ~ v2_orders_2(X6)
| ~ v3_orders_2(X6)
| ~ v4_orders_2(X6)
| ~ v1_lattice3(X6)
| ~ v2_lattice3(X6)
| ~ l1_orders_2(X6)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_waybel34])])])])])]) ).
fof(c_0_11,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_orders_2(X2)
| v3_waybel_1(k1_waybel_1(X2,X2,k7_grcat_1(X2),k7_grcat_1(X2)),X2,X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t6_waybel34])])]) ).
fof(c_0_12,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v1_lattice3(X2)
| v3_struct_0(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v2_lattice3(X2)
| v3_struct_0(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc1_yellow_0])])])]) ).
fof(c_0_13,plain,
! [X2] :
( ( v1_relat_1(k7_grcat_1(X2))
| ~ l1_orders_2(X2) )
& ( v1_funct_1(k7_grcat_1(X2))
| ~ l1_orders_2(X2) )
& ( v1_funct_2(k7_grcat_1(X2),u1_struct_0(X2),u1_struct_0(X2))
| ~ l1_orders_2(X2) )
& ( v23_waybel_0(k7_grcat_1(X2),X2,X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_waybel_1])])]) ).
fof(c_0_14,plain,
! [X2] :
( ( v1_relat_1(k7_grcat_1(X2))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v1_funct_1(k7_grcat_1(X2))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v2_funct_1(k7_grcat_1(X2))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( ~ v1_xboole_0(k7_grcat_1(X2))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v1_funct_2(k7_grcat_1(X2),u1_struct_0(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v1_partfun1(k7_grcat_1(X2),u1_struct_0(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v11_quantal1(k7_grcat_1(X2))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v5_orders_3(k7_grcat_1(X2),X2,X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v17_waybel_0(k7_grcat_1(X2),X2,X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v18_waybel_0(k7_grcat_1(X2),X2,X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v19_waybel_0(k7_grcat_1(X2),X2,X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v20_waybel_0(k7_grcat_1(X2),X2,X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v21_waybel_0(k7_grcat_1(X2),X2,X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v22_waybel_0(k7_grcat_1(X2),X2,X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v23_waybel_0(k7_grcat_1(X2),X2,X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v6_waybel_1(k7_grcat_1(X2),X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v7_waybel_1(k7_grcat_1(X2),X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v8_waybel_1(k7_grcat_1(X2),X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc4_waybel10])])])]) ).
fof(c_0_15,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_16,plain,
( X4 = k2_waybel34(X1,X2,X3)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ v18_waybel_0(X3,X2,X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X4,X3),X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( v3_waybel_1(k1_waybel_1(X1,X1,k7_grcat_1(X1),k7_grcat_1(X1)),X1,X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( v3_struct_0(X1)
| v1_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( v3_struct_0(X1)
| v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
( v1_funct_1(k7_grcat_1(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,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_13]) ).
cnf(c_0_22,plain,
( v3_struct_0(X1)
| v18_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_23,plain,
! [X2] :
( ( v1_funct_1(k7_grcat_1(X2))
| ~ l1_struct_0(X2) )
& ( v1_funct_2(k7_grcat_1(X2),u1_struct_0(X2),u1_struct_0(X2))
| ~ l1_struct_0(X2) )
& ( m2_relset_1(k7_grcat_1(X2),u1_struct_0(X2),u1_struct_0(X2))
| ~ l1_struct_0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_grcat_1])])]) ).
fof(c_0_24,plain,
! [X2] :
( ~ l1_orders_2(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
fof(c_0_25,plain,
! [X2] :
( ~ l1_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v3_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc1_lattice3])])]) ).
fof(c_0_26,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_15])])]) ).
fof(c_0_27,plain,
! [X5,X6,X7,X8] :
( ( X8 != k1_waybel34(X5,X6,X7)
| v3_waybel_1(k1_waybel_1(X5,X6,X7,X8),X5,X6)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X5))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X5))
| ~ v3_lattice3(X5)
| ~ v3_lattice3(X6)
| ~ v17_waybel_0(X7,X5,X6)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ m2_relset_1(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ v2_orders_2(X6)
| ~ v3_orders_2(X6)
| ~ v4_orders_2(X6)
| ~ v1_lattice3(X6)
| ~ v2_lattice3(X6)
| ~ l1_orders_2(X6)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5) )
& ( ~ v3_waybel_1(k1_waybel_1(X5,X6,X7,X8),X5,X6)
| X8 = k1_waybel34(X5,X6,X7)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X5))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X5))
| ~ v3_lattice3(X5)
| ~ v3_lattice3(X6)
| ~ v17_waybel_0(X7,X5,X6)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ m2_relset_1(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ v2_orders_2(X6)
| ~ v3_orders_2(X6)
| ~ v4_orders_2(X6)
| ~ v1_lattice3(X6)
| ~ v2_lattice3(X6)
| ~ l1_orders_2(X6)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ l1_orders_2(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_waybel34])])])])])]) ).
cnf(c_0_28,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_16,c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22]) ).
cnf(c_0_29,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_30,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
( ~ v3_struct_0(X1)
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_34,plain,
( X4 = k1_waybel34(X1,X2,X3)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ v17_waybel_0(X3,X1,X2)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,plain,
( v3_struct_0(X1)
| v17_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_36,negated_conjecture,
( k2_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) != k7_grcat_1(esk1_0)
| k1_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) != k7_grcat_1(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_37,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_28,c_0_29]),c_0_30]) ).
cnf(c_0_38,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_39,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_40,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_41,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_42,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).
cnf(c_0_43,plain,
( k1_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_34,c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_35]) ).
cnf(c_0_44,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_36,c_0_37]),c_0_33]),c_0_38]),c_0_39]),c_0_40]),c_0_41])]),c_0_42]) ).
cnf(c_0_45,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(spm,[status(thm)],[c_0_43,c_0_29]),c_0_30]) ).
cnf(c_0_46,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_44,c_0_45]),c_0_33]),c_0_38]),c_0_39]),c_0_40]),c_0_41])]),c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LAT356+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 30 09:26:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.23/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.40 # Preprocessing time : 0.027 s
% 0.23/1.40
% 0.23/1.40 # Failure: Out of unprocessed clauses!
% 0.23/1.40 # OLD status GaveUp
% 0.23/1.40 # Parsed axioms : 130
% 0.23/1.40 # Removed by relevancy pruning/SinE : 76
% 0.23/1.40 # Initial clauses : 164
% 0.23/1.40 # Removed in clause preprocessing : 30
% 0.23/1.40 # Initial clauses in saturation : 134
% 0.23/1.40 # Processed clauses : 186
% 0.23/1.40 # ...of these trivial : 0
% 0.23/1.40 # ...subsumed : 21
% 0.23/1.40 # ...remaining for further processing : 165
% 0.23/1.40 # Other redundant clauses eliminated : 0
% 0.23/1.40 # Clauses deleted for lack of memory : 0
% 0.23/1.40 # Backward-subsumed : 0
% 0.23/1.40 # Backward-rewritten : 0
% 0.23/1.40 # Generated clauses : 69
% 0.23/1.40 # ...of the previous two non-trivial : 52
% 0.23/1.40 # Contextual simplify-reflections : 76
% 0.23/1.40 # Paramodulations : 69
% 0.23/1.40 # Factorizations : 0
% 0.23/1.40 # Equation resolutions : 0
% 0.23/1.40 # Current number of processed clauses : 165
% 0.23/1.40 # Positive orientable unit clauses : 32
% 0.23/1.40 # Positive unorientable unit clauses: 0
% 0.23/1.40 # Negative unit clauses : 3
% 0.23/1.40 # Non-unit-clauses : 130
% 0.23/1.40 # Current number of unprocessed clauses: 0
% 0.23/1.40 # ...number of literals in the above : 0
% 0.23/1.40 # Current number of archived formulas : 0
% 0.23/1.40 # Current number of archived clauses : 0
% 0.23/1.40 # Clause-clause subsumption calls (NU) : 20294
% 0.23/1.40 # Rec. Clause-clause subsumption calls : 610
% 0.23/1.40 # Non-unit clause-clause subsumptions : 94
% 0.23/1.40 # Unit Clause-clause subsumption calls : 116
% 0.23/1.40 # Rewrite failures with RHS unbound : 0
% 0.23/1.40 # BW rewrite match attempts : 0
% 0.23/1.40 # BW rewrite match successes : 0
% 0.23/1.40 # Condensation attempts : 0
% 0.23/1.40 # Condensation successes : 0
% 0.23/1.40 # Termbank termtop insertions : 19050
% 0.23/1.40
% 0.23/1.40 # -------------------------------------------------
% 0.23/1.40 # User time : 0.045 s
% 0.23/1.40 # System time : 0.003 s
% 0.23/1.40 # Total time : 0.047 s
% 0.23/1.40 # Maximum resident set size: 3724 pages
% 0.23/1.40 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.23/1.40 # Preprocessing time : 0.024 s
% 0.23/1.40
% 0.23/1.40 # Proof found!
% 0.23/1.40 # SZS status Theorem
% 0.23/1.40 # SZS output start CNFRefutation
% See solution above
% 0.23/1.40 # Proof object total steps : 47
% 0.23/1.40 # Proof object clause steps : 26
% 0.23/1.40 # Proof object formula steps : 21
% 0.23/1.40 # Proof object conjectures : 13
% 0.23/1.40 # Proof object clause conjectures : 10
% 0.23/1.40 # Proof object formula conjectures : 3
% 0.23/1.40 # Proof object initial clauses used : 19
% 0.23/1.40 # Proof object initial formulas used : 10
% 0.23/1.40 # Proof object generating inferences : 7
% 0.23/1.40 # Proof object simplifying inferences : 28
% 0.23/1.40 # Training examples: 0 positive, 0 negative
% 0.23/1.40 # Parsed axioms : 130
% 0.23/1.40 # Removed by relevancy pruning/SinE : 0
% 0.23/1.40 # Initial clauses : 441
% 0.23/1.40 # Removed in clause preprocessing : 62
% 0.23/1.40 # Initial clauses in saturation : 379
% 0.23/1.40 # Processed clauses : 1489
% 0.23/1.40 # ...of these trivial : 0
% 0.23/1.40 # ...subsumed : 674
% 0.23/1.40 # ...remaining for further processing : 815
% 0.23/1.40 # Other redundant clauses eliminated : 0
% 0.23/1.40 # Clauses deleted for lack of memory : 0
% 0.23/1.40 # Backward-subsumed : 18
% 0.23/1.40 # Backward-rewritten : 4
% 0.23/1.40 # Generated clauses : 1434
% 0.23/1.40 # ...of the previous two non-trivial : 1293
% 0.23/1.40 # Contextual simplify-reflections : 571
% 0.23/1.40 # Paramodulations : 1434
% 0.23/1.40 # Factorizations : 0
% 0.23/1.40 # Equation resolutions : 0
% 0.23/1.40 # Current number of processed clauses : 793
% 0.23/1.40 # Positive orientable unit clauses : 58
% 0.23/1.40 # Positive unorientable unit clauses: 1
% 0.23/1.40 # Negative unit clauses : 10
% 0.23/1.40 # Non-unit-clauses : 724
% 0.23/1.40 # Current number of unprocessed clauses: 173
% 0.23/1.40 # ...number of literals in the above : 1675
% 0.23/1.40 # Current number of archived formulas : 0
% 0.23/1.40 # Current number of archived clauses : 23
% 0.23/1.40 # Clause-clause subsumption calls (NU) : 454396
% 0.23/1.40 # Rec. Clause-clause subsumption calls : 161573
% 0.23/1.40 # Non-unit clause-clause subsumptions : 1256
% 0.23/1.40 # Unit Clause-clause subsumption calls : 3291
% 0.23/1.40 # Rewrite failures with RHS unbound : 0
% 0.23/1.40 # BW rewrite match attempts : 11
% 0.23/1.40 # BW rewrite match successes : 4
% 0.23/1.40 # Condensation attempts : 0
% 0.23/1.40 # Condensation successes : 0
% 0.23/1.40 # Termbank termtop insertions : 58930
% 0.23/1.40
% 0.23/1.40 # -------------------------------------------------
% 0.23/1.40 # User time : 0.150 s
% 0.23/1.40 # System time : 0.005 s
% 0.23/1.40 # Total time : 0.155 s
% 0.23/1.40 # Maximum resident set size: 5984 pages
% 0.23/23.49 eprover: CPU time limit exceeded, terminating
% 0.23/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.51 eprover: No such file or directory
% 0.23/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.51 eprover: No such file or directory
% 0.23/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.52 eprover: No such file or directory
% 0.23/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.52 eprover: No such file or directory
% 0.23/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.53 eprover: No such file or directory
% 0.23/23.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.54 eprover: No such file or directory
% 0.23/23.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.54 eprover: No such file or directory
% 0.23/23.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.55 eprover: No such file or directory
%------------------------------------------------------------------------------