TSTP Solution File: LAT356+3 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT356+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n027.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 1.16s 3.34s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 54 ( 19 unt; 0 def)
% Number of atoms : 426 ( 18 equ)
% Maximal formula atoms : 48 ( 7 avg)
% Number of connectives : 611 ( 239 ~; 250 |; 93 &)
% ( 3 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-4 aty)
% Number of variables : 66 ( 0 sgn 43 !; 1 ?)
% 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',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',t6_waybel34) ).
fof(fc1_waybel_9,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ( ~ v1_xboole_0(k7_grcat_1(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))
& v5_orders_3(k7_grcat_1(X1),X1,X1)
& v1_partfun1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+500.ax',fc1_waybel_9) ).
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(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(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(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',d1_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(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',d2_waybel34) ).
fof(c_0_11,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_12,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_13,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_11])])]) ).
fof(c_0_14,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_15,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_16,plain,
( ~ v3_struct_0(X1)
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_19,plain,
! [X2] :
( ( ~ v1_xboole_0(k7_grcat_1(X2))
| v3_struct_0(X2)
| ~ l1_orders_2(X2) )
& ( v1_relat_1(k7_grcat_1(X2))
| v3_struct_0(X2)
| ~ l1_orders_2(X2) )
& ( v1_funct_1(k7_grcat_1(X2))
| v3_struct_0(X2)
| ~ l1_orders_2(X2) )
& ( v1_funct_2(k7_grcat_1(X2),u1_struct_0(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ l1_orders_2(X2) )
& ( v5_orders_3(k7_grcat_1(X2),X2,X2)
| v3_struct_0(X2)
| ~ l1_orders_2(X2) )
& ( v1_partfun1(k7_grcat_1(X2),u1_struct_0(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_waybel_9])])])]) ).
fof(c_0_20,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_21,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_22,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_23,plain,
! [X5,X6,X7,X9] :
( ( v1_funct_1(esk64_3(X5,X6,X7))
| ~ v5_waybel_1(X7,X5,X6)
| ~ 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))
| v3_struct_0(X6)
| ~ l1_orders_2(X6)
| v3_struct_0(X5)
| ~ l1_orders_2(X5) )
& ( v1_funct_2(esk64_3(X5,X6,X7),u1_struct_0(X5),u1_struct_0(X6))
| ~ v5_waybel_1(X7,X5,X6)
| ~ 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))
| v3_struct_0(X6)
| ~ l1_orders_2(X6)
| v3_struct_0(X5)
| ~ l1_orders_2(X5) )
& ( m2_relset_1(esk64_3(X5,X6,X7),u1_struct_0(X5),u1_struct_0(X6))
| ~ v5_waybel_1(X7,X5,X6)
| ~ 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))
| v3_struct_0(X6)
| ~ l1_orders_2(X6)
| v3_struct_0(X5)
| ~ l1_orders_2(X5) )
& ( v3_waybel_1(k1_waybel_1(X5,X6,esk64_3(X5,X6,X7),X7),X5,X6)
| ~ v5_waybel_1(X7,X5,X6)
| ~ 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))
| v3_struct_0(X6)
| ~ l1_orders_2(X6)
| v3_struct_0(X5)
| ~ l1_orders_2(X5) )
& ( ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,u1_struct_0(X5),u1_struct_0(X6))
| ~ m2_relset_1(X9,u1_struct_0(X5),u1_struct_0(X6))
| ~ v3_waybel_1(k1_waybel_1(X5,X6,X9,X7),X5,X6)
| v5_waybel_1(X7,X5,X6)
| ~ 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))
| v3_struct_0(X6)
| ~ l1_orders_2(X6)
| v3_struct_0(X5)
| ~ l1_orders_2(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d12_waybel_1])])])])])])])]) ).
cnf(c_0_24,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_15]) ).
cnf(c_0_25,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_26,plain,
( v3_struct_0(X1)
| 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_19]) ).
cnf(c_0_27,plain,
( v3_struct_0(X1)
| v1_funct_1(k7_grcat_1(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,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_20]) ).
cnf(c_0_29,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_21,c_0_18]) ).
fof(c_0_30,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_31,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_22]) ).
fof(c_0_32,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ l1_orders_2(X4)
| v3_struct_0(X5)
| ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ l1_orders_2(X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X5),u1_struct_0(X4))
| ~ m2_relset_1(X6,u1_struct_0(X5),u1_struct_0(X4))
| ~ v5_waybel_1(X6,X4,X5)
| v18_waybel_0(X6,X5,X4) ),
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)],[inference(fof_simplification,[status(thm)],[t14_waybel_1])])])])])]) ).
cnf(c_0_33,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v5_waybel_1(X3,X1,X2)
| ~ l1_orders_2(X1)
| ~ l1_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)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X4,X3),X1,X2)
| ~ 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) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34,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_24,c_0_18]),c_0_25]) ).
cnf(c_0_35,negated_conjecture,
v1_funct_2(k7_grcat_1(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_18]),c_0_25]) ).
cnf(c_0_36,negated_conjecture,
v1_funct_1(k7_grcat_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_18]),c_0_25]) ).
cnf(c_0_37,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_28,c_0_29]) ).
cnf(c_0_38,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_30]) ).
cnf(c_0_39,negated_conjecture,
v17_waybel_0(k7_grcat_1(esk1_0),esk1_0,esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_18]),c_0_25]) ).
cnf(c_0_40,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_41,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_42,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_43,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_44,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_45,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_46,plain,
( v18_waybel_0(X1,X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ v5_waybel_1(X1,X3,X2)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v2_orders_2(X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_47,negated_conjecture,
v5_waybel_1(k7_grcat_1(esk1_0),esk1_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_18]),c_0_35]),c_0_36])]),c_0_25]),c_0_37])]) ).
cnf(c_0_48,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_13]) ).
cnf(c_0_49,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_34]),c_0_39]),c_0_40]),c_0_41]),c_0_17]),c_0_42]),c_0_43]),c_0_44]),c_0_18]),c_0_35]),c_0_36])]),c_0_37])]) ).
cnf(c_0_50,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_45]) ).
cnf(c_0_51,negated_conjecture,
v18_waybel_0(k7_grcat_1(esk1_0),esk1_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_46,c_0_35]),c_0_42]),c_0_43]),c_0_44]),c_0_18]),c_0_36])]),c_0_25]),c_0_47]),c_0_37])]) ).
cnf(c_0_52,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_48,c_0_49])]) ).
cnf(c_0_53,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[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(spm,[status(thm)],[c_0_50,c_0_34]),c_0_40]),c_0_41]),c_0_17]),c_0_42]),c_0_43]),c_0_44]),c_0_18]),c_0_35]),c_0_36])]),c_0_51]),c_0_37])]),c_0_52]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT356+3 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 30 09:51:38 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.16/3.34 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 1.16/3.34 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 1.16/3.34 # Preprocessing time : 0.709 s
% 1.16/3.34
% 1.16/3.34 # Proof found!
% 1.16/3.34 # SZS status Theorem
% 1.16/3.34 # SZS output start CNFRefutation
% See solution above
% 1.16/3.34 # Proof object total steps : 54
% 1.16/3.34 # Proof object clause steps : 31
% 1.16/3.34 # Proof object formula steps : 23
% 1.16/3.34 # Proof object conjectures : 23
% 1.16/3.34 # Proof object clause conjectures : 20
% 1.16/3.34 # Proof object formula conjectures : 3
% 1.16/3.34 # Proof object initial clauses used : 19
% 1.16/3.34 # Proof object initial formulas used : 11
% 1.16/3.34 # Proof object generating inferences : 11
% 1.16/3.34 # Proof object simplifying inferences : 52
% 1.16/3.34 # Training examples: 0 positive, 0 negative
% 1.16/3.34 # Parsed axioms : 18920
% 1.16/3.34 # Removed by relevancy pruning/SinE : 18693
% 1.16/3.34 # Initial clauses : 578
% 1.16/3.34 # Removed in clause preprocessing : 29
% 1.16/3.34 # Initial clauses in saturation : 549
% 1.16/3.34 # Processed clauses : 2776
% 1.16/3.34 # ...of these trivial : 905
% 1.16/3.34 # ...subsumed : 182
% 1.16/3.34 # ...remaining for further processing : 1688
% 1.16/3.34 # Other redundant clauses eliminated : 20
% 1.16/3.34 # Clauses deleted for lack of memory : 0
% 1.16/3.34 # Backward-subsumed : 9
% 1.16/3.34 # Backward-rewritten : 113
% 1.16/3.34 # Generated clauses : 17368
% 1.16/3.34 # ...of the previous two non-trivial : 15419
% 1.16/3.34 # Contextual simplify-reflections : 226
% 1.16/3.34 # Paramodulations : 17334
% 1.16/3.34 # Factorizations : 3
% 1.16/3.34 # Equation resolutions : 30
% 1.16/3.34 # Current number of processed clauses : 1555
% 1.16/3.34 # Positive orientable unit clauses : 377
% 1.16/3.34 # Positive unorientable unit clauses: 0
% 1.16/3.34 # Negative unit clauses : 11
% 1.16/3.34 # Non-unit-clauses : 1167
% 1.16/3.34 # Current number of unprocessed clauses: 7738
% 1.16/3.34 # ...number of literals in the above : 23948
% 1.16/3.34 # Current number of archived formulas : 0
% 1.16/3.34 # Current number of archived clauses : 122
% 1.16/3.34 # Clause-clause subsumption calls (NU) : 492928
% 1.16/3.34 # Rec. Clause-clause subsumption calls : 27302
% 1.16/3.34 # Non-unit clause-clause subsumptions : 392
% 1.16/3.34 # Unit Clause-clause subsumption calls : 103565
% 1.16/3.34 # Rewrite failures with RHS unbound : 0
% 1.16/3.34 # BW rewrite match attempts : 1033
% 1.16/3.34 # BW rewrite match successes : 31
% 1.16/3.34 # Condensation attempts : 0
% 1.16/3.34 # Condensation successes : 0
% 1.16/3.34 # Termbank termtop insertions : 1175690
% 1.16/3.34
% 1.16/3.34 # -------------------------------------------------
% 1.16/3.34 # User time : 1.111 s
% 1.16/3.34 # System time : 0.040 s
% 1.16/3.34 # Total time : 1.151 s
% 1.16/3.34 # Maximum resident set size: 66400 pages
% 1.16/24.33 eprover: CPU time limit exceeded, terminating
% 1.16/24.33 eprover: CPU time limit exceeded, terminating
% 1.16/24.34 eprover: CPU time limit exceeded, terminating
% 1.16/24.34 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.16/24.34 eprover: No such file or directory
% 1.16/24.34 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.16/24.34 eprover: No such file or directory
% 1.16/24.35 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.16/24.35 eprover: No such file or directory
% 1.16/24.35 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.16/24.35 eprover: No such file or directory
% 1.16/24.35 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.16/24.35 eprover: No such file or directory
% 1.16/24.36 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.16/24.36 eprover: No such file or directory
% 1.16/24.36 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.16/24.36 eprover: No such file or directory
% 1.16/24.36 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.16/24.36 eprover: No such file or directory
% 1.16/24.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.16/24.37 eprover: No such file or directory
% 1.16/24.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.16/24.37 eprover: No such file or directory
% 1.16/24.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.16/24.37 eprover: No such file or directory
% 1.16/24.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.16/24.37 eprover: No such file or directory
% 1.16/24.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.16/24.37 eprover: No such file or directory
% 1.16/24.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.16/24.37 eprover: No such file or directory
% 1.16/24.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.16/24.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.16/24.38 eprover: No such file or directory
% 1.16/24.38 eprover: No such file or directory
% 1.16/24.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.16/24.38 eprover: No such file or directory
% 1.16/24.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.16/24.38 eprover: No such file or directory
% 1.16/24.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.16/24.38 eprover: No such file or directory
% 1.16/24.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.16/24.38 eprover: No such file or directory
% 1.16/24.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.16/24.39 eprover: No such file or directory
% 1.16/24.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.16/24.39 eprover: No such file or directory
% 1.16/24.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.16/24.39 eprover: No such file or directory
% 1.16/24.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.16/24.39 eprover: No such file or directory
% 1.16/24.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.16/24.40 eprover: No such file or directory
% 1.16/24.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.16/24.40 eprover: No such file or directory
% 1.16/24.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.16/24.40 eprover: No such file or directory
% 1.16/24.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.16/24.40 eprover: No such file or directory
% 1.16/24.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.16/24.41 eprover: No such file or directory
% 1.16/24.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.16/24.41 eprover: No such file or directory
% 1.16/24.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.16/24.41 eprover: No such file or directory
% 1.16/24.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.16/24.41 eprover: No such file or directory
% 1.16/24.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.16/24.42 eprover: No such file or directory
%------------------------------------------------------------------------------