TSTP Solution File: LAT356+4 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT356+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n019.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 04:47:45 EDT 2022
% Result : Theorem 3.70s 121.88s
% Output : CNFRefutation 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 48 ( 18 unt; 0 def)
% Number of atoms : 377 ( 18 equ)
% Maximal formula atoms : 72 ( 7 avg)
% Number of connectives : 530 ( 201 ~; 211 |; 97 &)
% ( 2 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 6 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 : 46 ( 0 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(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(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(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(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(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/benchmark/Axioms/SET007/SET007+503.ax',fc4_waybel10) ).
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(c_0_9,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_10,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_11,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_9])])]) ).
fof(c_0_12,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_13,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])])]) ).
cnf(c_0_14,plain,
( ~ v3_struct_0(X1)
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_17,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_orders_2(X2)
| v17_waybel_0(k7_grcat_1(X2),X2,X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t3_waybel22])])]) ).
fof(c_0_18,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])])]) ).
cnf(c_0_19,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_20,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_21,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_13]) ).
cnf(c_0_22,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_23,plain,
( v17_waybel_0(k7_grcat_1(X1),X1,X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,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_18]) ).
cnf(c_0_25,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_26,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_18]) ).
cnf(c_0_27,plain,
( v1_funct_1(k7_grcat_1(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_28,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])])])]) ).
cnf(c_0_29,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_20]) ).
cnf(c_0_30,negated_conjecture,
v3_waybel_1(k1_waybel_1(esk1_0,esk1_0,k7_grcat_1(esk1_0),k7_grcat_1(esk1_0)),esk1_0,esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_16]),c_0_22]) ).
cnf(c_0_31,negated_conjecture,
v17_waybel_0(k7_grcat_1(esk1_0),esk1_0,esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_16]),c_0_22]) ).
cnf(c_0_32,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_33,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_34,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_35,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_36,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_37,negated_conjecture,
v1_funct_2(k7_grcat_1(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_38,negated_conjecture,
m2_relset_1(k7_grcat_1(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_39,negated_conjecture,
v1_funct_1(k7_grcat_1(esk1_0)),
inference(spm,[status(thm)],[c_0_27,c_0_25]) ).
fof(c_0_40,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])])])])])]) ).
cnf(c_0_41,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_28]) ).
cnf(c_0_42,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_11]) ).
cnf(c_0_43,negated_conjecture,
k1_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) = k7_grcat_1(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_15]),c_0_34]),c_0_35]),c_0_36]),c_0_16]),c_0_37]),c_0_38]),c_0_39])]) ).
cnf(c_0_44,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_40]) ).
cnf(c_0_45,negated_conjecture,
v18_waybel_0(k7_grcat_1(esk1_0),esk1_0,esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_36]),c_0_16])]),c_0_22]) ).
cnf(c_0_46,negated_conjecture,
k2_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) != k7_grcat_1(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43])]) ).
cnf(c_0_47,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(spm,[status(thm)],[c_0_44,c_0_30]),c_0_45]),c_0_32]),c_0_33]),c_0_15]),c_0_34]),c_0_35]),c_0_36]),c_0_16]),c_0_37]),c_0_38]),c_0_39])]),c_0_46]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LAT356+4 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.11/0.33 % Computer : n019.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Thu Jun 30 09:36:47 EDT 2022
% 0.11/0.33 % CPUTime :
% 3.14/26.19 eprover: CPU time limit exceeded, terminating
% 3.14/26.19 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 3.14/26.19
% 3.14/26.20 eprover: CPU time limit exceeded, terminating
% 3.28/49.23 eprover: CPU time limit exceeded, terminating
% 3.28/49.25 eprover: CPU time limit exceeded, terminating
% 3.28/49.26 eprover: CPU time limit exceeded, terminating
% 3.29/51.37 eprover: CPU time limit exceeded, terminating
% 3.41/72.28 eprover: CPU time limit exceeded, terminating
% 3.41/72.28 eprover: CPU time limit exceeded, terminating
% 3.41/72.29 eprover: CPU time limit exceeded, terminating
% 3.43/74.42 eprover: CPU time limit exceeded, terminating
% 3.55/95.34 eprover: CPU time limit exceeded, terminating
% 3.55/95.35 eprover: CPU time limit exceeded, terminating
% 3.55/95.36 eprover: CPU time limit exceeded, terminating
% 3.56/97.47 eprover: CPU time limit exceeded, terminating
% 3.69/118.41 eprover: CPU time limit exceeded, terminating
% 3.69/118.41 eprover: CPU time limit exceeded, terminating
% 3.69/118.41 eprover: CPU time limit exceeded, terminating
% 3.69/120.50 eprover: CPU time limit exceeded, terminating
% 3.70/121.87 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 3.70/121.87
% 3.70/121.87 # Failure: Resource limit exceeded (time)
% 3.70/121.87 # OLD status Res
% 3.70/121.87 # Preprocessing time : 15.279 s
% 3.70/121.87 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 3.70/121.87
% 3.70/121.87 # Failure: Resource limit exceeded (time)
% 3.70/121.87 # OLD status Res
% 3.70/121.87 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 3.70/121.87 # Preprocessing time : 2.274 s
% 3.70/121.87 # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 3.70/121.87
% 3.70/121.87 # Failure: Resource limit exceeded (time)
% 3.70/121.87 # OLD status Res
% 3.70/121.87 # Preprocessing time : 16.291 s
% 3.70/121.87 # Running protocol protocol_eprover_6c565d2524e660970ec2a72c26d577f665a55420 for 23 seconds:
% 3.70/121.87
% 3.70/121.87 # Failure: Resource limit exceeded (time)
% 3.70/121.87 # OLD status Res
% 3.70/121.87 # Preprocessing time : 16.408 s
% 3.70/121.87 # Running protocol protocol_eprover_750456fc664a9e0b97096ad0f5110b1ead7d782b for 23 seconds:
% 3.70/121.87
% 3.70/121.87 # Failure: Resource limit exceeded (time)
% 3.70/121.87 # OLD status Res
% 3.70/121.87 # Preprocessing time : 16.666 s
% 3.70/121.87 # Running protocol protocol_eprover_a9abcacdf80c460fdc9fe242616d68da2308faf5 for 23 seconds:
% 3.70/121.88 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,02,500,1.0)
% 3.70/121.88 # Preprocessing time : 2.136 s
% 3.70/121.88
% 3.70/121.88 # Proof found!
% 3.70/121.88 # SZS status Theorem
% 3.70/121.88 # SZS output start CNFRefutation
% See solution above
% 3.70/121.88 # Proof object total steps : 48
% 3.70/121.88 # Proof object clause steps : 29
% 3.70/121.88 # Proof object formula steps : 19
% 3.70/121.88 # Proof object conjectures : 22
% 3.70/121.88 # Proof object clause conjectures : 19
% 3.70/121.88 # Proof object formula conjectures : 3
% 3.70/121.88 # Proof object initial clauses used : 18
% 3.70/121.88 # Proof object initial formulas used : 9
% 3.70/121.88 # Proof object generating inferences : 10
% 3.70/121.88 # Proof object simplifying inferences : 34
% 3.70/121.88 # Training examples: 0 positive, 0 negative
% 3.70/121.88 # Parsed axioms : 55701
% 3.70/121.88 # Removed by relevancy pruning/SinE : 55221
% 3.70/121.88 # Initial clauses : 1237
% 3.70/121.88 # Removed in clause preprocessing : 69
% 3.70/121.88 # Initial clauses in saturation : 1168
% 3.70/121.88 # Processed clauses : 6975
% 3.70/121.88 # ...of these trivial : 170
% 3.70/121.88 # ...subsumed : 3784
% 3.70/121.88 # ...remaining for further processing : 3020
% 3.70/121.88 # Other redundant clauses eliminated : 24
% 3.70/121.88 # Clauses deleted for lack of memory : 0
% 3.70/121.88 # Backward-subsumed : 18
% 3.70/121.88 # Backward-rewritten : 53
% 3.70/121.88 # Generated clauses : 28142
% 3.70/121.88 # ...of the previous two non-trivial : 25492
% 3.70/121.88 # Contextual simplify-reflections : 0
% 3.70/121.88 # Paramodulations : 27553
% 3.70/121.88 # Factorizations : 0
% 3.70/121.88 # Equation resolutions : 549
% 3.70/121.88 # Current number of processed clauses : 2927
% 3.70/121.88 # Positive orientable unit clauses : 587
% 3.70/121.88 # Positive unorientable unit clauses: 22
% 3.70/121.88 # Negative unit clauses : 19
% 3.70/121.88 # Non-unit-clauses : 2299
% 3.70/121.88 # Current number of unprocessed clauses: 19203
% 3.70/121.88 # ...number of literals in the above : 65543
% 3.70/121.88 # Current number of archived formulas : 0
% 3.70/121.88 # Current number of archived clauses : 71
% 3.70/121.88 # Clause-clause subsumption calls (NU) : 577751
% 3.70/121.88 # Rec. Clause-clause subsumption calls : 383434
% 3.70/121.88 # Non-unit clause-clause subsumptions : 3668
% 3.70/121.88 # Unit Clause-clause subsumption calls : 134685
% 3.70/121.88 # Rewrite failures with RHS unbound : 539
% 3.70/121.88 # BW rewrite match attempts : 4873
% 3.70/121.88 # BW rewrite match successes : 253
% 3.70/121.88 # Condensation attempts : 0
% 3.70/121.88 # Condensation successes : 0
% 3.70/121.88 # Termbank termtop insertions : 2786698
% 3.70/121.88
% 3.70/121.88 # -------------------------------------------------
% 3.70/121.88 # User time : 2.811 s
% 3.70/121.88 # System time : 0.121 s
% 3.70/121.88 # Total time : 2.932 s
% 3.70/121.88 # Maximum resident set size: 178472 pages
% 3.70/141.44 eprover: CPU time limit exceeded, terminating
% 3.70/141.46 eprover: CPU time limit exceeded, terminating
% 3.70/141.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.70/141.46 eprover: No such file or directory
% 3.70/141.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.70/141.47 eprover: No such file or directory
% 3.70/141.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.70/141.48 eprover: No such file or directory
% 3.70/141.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.70/141.48 eprover: No such file or directory
% 3.70/141.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.70/141.49 eprover: No such file or directory
% 3.70/141.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.70/141.49 eprover: No such file or directory
% 3.70/141.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.70/141.52 eprover: No such file or directory
% 3.70/141.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.70/141.53 eprover: No such file or directory
% 3.70/141.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.70/141.54 eprover: No such file or directory
% 3.70/141.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.70/141.54 eprover: No such file or directory
% 3.70/141.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.70/141.55 eprover: No such file or directory
% 3.70/141.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.70/141.55 eprover: No such file or directory
% 3.70/143.57 eprover: CPU time limit exceeded, terminating
% 3.70/143.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.70/143.59 eprover: No such file or directory
% 3.70/143.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.70/143.60 eprover: No such file or directory
% 3.70/143.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.70/143.60 eprover: No such file or directory
% 3.70/143.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.70/143.61 eprover: No such file or directory
% 3.70/143.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.70/143.61 eprover: No such file or directory
%------------------------------------------------------------------------------