TSTP Solution File: LAT356+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LAT356+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:08:51 EDT 2023
% Result : Theorem 0.96s 0.60s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 51 ( 18 unt; 0 def)
% Number of atoms : 412 ( 18 equ)
% Maximal formula atoms : 72 ( 8 avg)
% Number of connectives : 568 ( 207 ~; 214 |; 122 &)
% ( 2 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 7 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 : 49 ( 0 sgn; 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cc1_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.X9omg5Dhxy/E---3.1_14131.p',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/tmp/tmp.X9omg5Dhxy/E---3.1_14131.p',t7_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/tmp/tmp.X9omg5Dhxy/E---3.1_14131.p',t6_waybel34) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/tmp/tmp.X9omg5Dhxy/E---3.1_14131.p',dt_l1_orders_2) ).
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/tmp/tmp.X9omg5Dhxy/E---3.1_14131.p',fc4_waybel10) ).
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/tmp/tmp.X9omg5Dhxy/E---3.1_14131.p',dt_k7_grcat_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/tmp/tmp.X9omg5Dhxy/E---3.1_14131.p',fc2_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/tmp/tmp.X9omg5Dhxy/E---3.1_14131.p',d1_waybel34) ).
fof(d2_waybel34,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) )
=> ( ( v3_lattice3(X1)
& v3_lattice3(X2)
& v18_waybel_0(X3,X2,X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( X4 = k2_waybel34(X1,X2,X3)
<=> v3_waybel_1(k1_waybel_1(X1,X2,X4,X3),X1,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.X9omg5Dhxy/E---3.1_14131.p',d2_waybel34) ).
fof(c_0_9,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattice3]) ).
fof(c_0_10,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_11,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_12,plain,
! [X34] :
( ~ l1_orders_2(X34)
| ~ v1_lattice3(X34)
| ~ v3_struct_0(X34) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])]) ).
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_10])])]) ).
fof(c_0_14,plain,
! [X106] :
( ~ l1_orders_2(X106)
| l1_struct_0(X106) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
fof(c_0_15,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_relat_1(k7_grcat_1(X1))
& v1_funct_1(k7_grcat_1(X1))
& v2_funct_1(k7_grcat_1(X1))
& ~ v1_xboole_0(k7_grcat_1(X1))
& v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v1_partfun1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& v11_quantal1(k7_grcat_1(X1))
& v5_orders_3(k7_grcat_1(X1),X1,X1)
& v17_waybel_0(k7_grcat_1(X1),X1,X1)
& v18_waybel_0(k7_grcat_1(X1),X1,X1)
& v19_waybel_0(k7_grcat_1(X1),X1,X1)
& v20_waybel_0(k7_grcat_1(X1),X1,X1)
& v21_waybel_0(k7_grcat_1(X1),X1,X1)
& v22_waybel_0(k7_grcat_1(X1),X1,X1)
& v23_waybel_0(k7_grcat_1(X1),X1,X1)
& v6_waybel_1(k7_grcat_1(X1),X1)
& v7_waybel_1(k7_grcat_1(X1),X1)
& v8_waybel_1(k7_grcat_1(X1),X1) ) ),
inference(fof_simplification,[status(thm)],[fc4_waybel10]) ).
fof(c_0_16,plain,
! [X217] :
( v3_struct_0(X217)
| ~ l1_orders_2(X217)
| v3_waybel_1(k1_waybel_1(X217,X217,k7_grcat_1(X217),k7_grcat_1(X217)),X217,X217) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).
cnf(c_0_17,plain,
( ~ l1_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_20,plain,
! [X105] :
( ( v1_funct_1(k7_grcat_1(X105))
| ~ l1_struct_0(X105) )
& ( v1_funct_2(k7_grcat_1(X105),u1_struct_0(X105),u1_struct_0(X105))
| ~ l1_struct_0(X105) )
& ( m2_relset_1(k7_grcat_1(X105),u1_struct_0(X105),u1_struct_0(X105))
| ~ l1_struct_0(X105) ) ),
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,
! [X153] :
( ( v1_relat_1(k7_grcat_1(X153))
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v1_funct_1(k7_grcat_1(X153))
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v2_funct_1(k7_grcat_1(X153))
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( ~ v1_xboole_0(k7_grcat_1(X153))
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v1_funct_2(k7_grcat_1(X153),u1_struct_0(X153),u1_struct_0(X153))
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v1_partfun1(k7_grcat_1(X153),u1_struct_0(X153),u1_struct_0(X153))
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v11_quantal1(k7_grcat_1(X153))
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v5_orders_3(k7_grcat_1(X153),X153,X153)
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v17_waybel_0(k7_grcat_1(X153),X153,X153)
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v18_waybel_0(k7_grcat_1(X153),X153,X153)
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v19_waybel_0(k7_grcat_1(X153),X153,X153)
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v20_waybel_0(k7_grcat_1(X153),X153,X153)
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v21_waybel_0(k7_grcat_1(X153),X153,X153)
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v22_waybel_0(k7_grcat_1(X153),X153,X153)
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v23_waybel_0(k7_grcat_1(X153),X153,X153)
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v6_waybel_1(k7_grcat_1(X153),X153)
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v7_waybel_1(k7_grcat_1(X153),X153)
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) )
& ( v8_waybel_1(k7_grcat_1(X153),X153)
| v3_struct_0(X153)
| ~ v2_orders_2(X153)
| ~ l1_orders_2(X153) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
fof(c_0_23,plain,
! [X148] :
( ( v1_relat_1(k7_grcat_1(X148))
| ~ l1_orders_2(X148) )
& ( v1_funct_1(k7_grcat_1(X148))
| ~ l1_orders_2(X148) )
& ( v1_funct_2(k7_grcat_1(X148),u1_struct_0(X148),u1_struct_0(X148))
| ~ l1_orders_2(X148) )
& ( v23_waybel_0(k7_grcat_1(X148),X148,X148)
| ~ l1_orders_2(X148) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_waybel_1])])]) ).
fof(c_0_24,plain,
! [X85,X86,X87,X88] :
( ( X88 != k1_waybel34(X85,X86,X87)
| v3_waybel_1(k1_waybel_1(X85,X86,X87,X88),X85,X86)
| ~ v1_funct_1(X88)
| ~ v1_funct_2(X88,u1_struct_0(X86),u1_struct_0(X85))
| ~ m2_relset_1(X88,u1_struct_0(X86),u1_struct_0(X85))
| ~ v3_lattice3(X85)
| ~ v3_lattice3(X86)
| ~ v17_waybel_0(X87,X85,X86)
| ~ v1_funct_1(X87)
| ~ v1_funct_2(X87,u1_struct_0(X85),u1_struct_0(X86))
| ~ m2_relset_1(X87,u1_struct_0(X85),u1_struct_0(X86))
| ~ v2_orders_2(X86)
| ~ v3_orders_2(X86)
| ~ v4_orders_2(X86)
| ~ v1_lattice3(X86)
| ~ v2_lattice3(X86)
| ~ l1_orders_2(X86)
| ~ v2_orders_2(X85)
| ~ v3_orders_2(X85)
| ~ v4_orders_2(X85)
| ~ v1_lattice3(X85)
| ~ v2_lattice3(X85)
| ~ l1_orders_2(X85) )
& ( ~ v3_waybel_1(k1_waybel_1(X85,X86,X87,X88),X85,X86)
| X88 = k1_waybel34(X85,X86,X87)
| ~ v1_funct_1(X88)
| ~ v1_funct_2(X88,u1_struct_0(X86),u1_struct_0(X85))
| ~ m2_relset_1(X88,u1_struct_0(X86),u1_struct_0(X85))
| ~ v3_lattice3(X85)
| ~ v3_lattice3(X86)
| ~ v17_waybel_0(X87,X85,X86)
| ~ v1_funct_1(X87)
| ~ v1_funct_2(X87,u1_struct_0(X85),u1_struct_0(X86))
| ~ m2_relset_1(X87,u1_struct_0(X85),u1_struct_0(X86))
| ~ v2_orders_2(X86)
| ~ v3_orders_2(X86)
| ~ v4_orders_2(X86)
| ~ v1_lattice3(X86)
| ~ v2_lattice3(X86)
| ~ l1_orders_2(X86)
| ~ v2_orders_2(X85)
| ~ v3_orders_2(X85)
| ~ v4_orders_2(X85)
| ~ v1_lattice3(X85)
| ~ v2_lattice3(X85)
| ~ l1_orders_2(X85) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_waybel34])])])]) ).
cnf(c_0_25,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_16]) ).
cnf(c_0_26,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_27,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_28,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_21,c_0_19]) ).
cnf(c_0_29,plain,
( v17_waybel_0(k7_grcat_1(X1),X1,X1)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_31,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_23]) ).
cnf(c_0_32,plain,
( v1_funct_1(k7_grcat_1(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_33,plain,
! [X89,X90,X91,X92] :
( ( X92 != k2_waybel34(X89,X90,X91)
| v3_waybel_1(k1_waybel_1(X89,X90,X92,X91),X89,X90)
| ~ v1_funct_1(X92)
| ~ v1_funct_2(X92,u1_struct_0(X89),u1_struct_0(X90))
| ~ m2_relset_1(X92,u1_struct_0(X89),u1_struct_0(X90))
| ~ v3_lattice3(X89)
| ~ v3_lattice3(X90)
| ~ v18_waybel_0(X91,X90,X89)
| ~ v1_funct_1(X91)
| ~ v1_funct_2(X91,u1_struct_0(X90),u1_struct_0(X89))
| ~ m2_relset_1(X91,u1_struct_0(X90),u1_struct_0(X89))
| ~ v2_orders_2(X90)
| ~ v3_orders_2(X90)
| ~ v4_orders_2(X90)
| ~ v1_lattice3(X90)
| ~ v2_lattice3(X90)
| ~ l1_orders_2(X90)
| ~ v2_orders_2(X89)
| ~ v3_orders_2(X89)
| ~ v4_orders_2(X89)
| ~ v1_lattice3(X89)
| ~ v2_lattice3(X89)
| ~ l1_orders_2(X89) )
& ( ~ v3_waybel_1(k1_waybel_1(X89,X90,X92,X91),X89,X90)
| X92 = k2_waybel34(X89,X90,X91)
| ~ v1_funct_1(X92)
| ~ v1_funct_2(X92,u1_struct_0(X89),u1_struct_0(X90))
| ~ m2_relset_1(X92,u1_struct_0(X89),u1_struct_0(X90))
| ~ v3_lattice3(X89)
| ~ v3_lattice3(X90)
| ~ v18_waybel_0(X91,X90,X89)
| ~ v1_funct_1(X91)
| ~ v1_funct_2(X91,u1_struct_0(X90),u1_struct_0(X89))
| ~ m2_relset_1(X91,u1_struct_0(X90),u1_struct_0(X89))
| ~ v2_orders_2(X90)
| ~ v3_orders_2(X90)
| ~ v4_orders_2(X90)
| ~ v1_lattice3(X90)
| ~ v2_lattice3(X90)
| ~ l1_orders_2(X90)
| ~ v2_orders_2(X89)
| ~ v3_orders_2(X89)
| ~ v4_orders_2(X89)
| ~ v1_lattice3(X89)
| ~ v2_lattice3(X89)
| ~ l1_orders_2(X89) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_waybel34])])])]) ).
cnf(c_0_34,plain,
( v18_waybel_0(k7_grcat_1(X1),X1,X1)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_35,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_24]) ).
cnf(c_0_36,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_25,c_0_19]),c_0_26]) ).
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_27,c_0_28]) ).
cnf(c_0_38,negated_conjecture,
v17_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_29,c_0_30]),c_0_19])]),c_0_26]) ).
cnf(c_0_39,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_31,c_0_19]) ).
cnf(c_0_40,negated_conjecture,
v1_funct_1(k7_grcat_1(esk1_0)),
inference(spm,[status(thm)],[c_0_32,c_0_19]) ).
cnf(c_0_41,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_42,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_43,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_44,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_45,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_33]) ).
cnf(c_0_46,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_34,c_0_30]),c_0_19])]),c_0_26]) ).
cnf(c_0_47,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_13]) ).
cnf(c_0_48,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_35,c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),c_0_19]),c_0_41]),c_0_42]),c_0_18]),c_0_43]),c_0_44]),c_0_30])]) ).
cnf(c_0_49,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)],[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_45,c_0_36]),c_0_37]),c_0_46]),c_0_39]),c_0_40]),c_0_19]),c_0_41]),c_0_42]),c_0_18]),c_0_43]),c_0_44]),c_0_30])]) ).
cnf(c_0_50,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]),c_0_49])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT356+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 2400
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Mon Oct 2 11:17:45 EDT 2023
% 0.18/0.34 % CPUTime :
% 0.18/0.47 Running first-order theorem proving
% 0.18/0.47 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.X9omg5Dhxy/E---3.1_14131.p
% 0.96/0.60 # Version: 3.1pre001
% 0.96/0.60 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.96/0.60 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.96/0.60 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.96/0.60 # Starting new_bool_3 with 300s (1) cores
% 0.96/0.60 # Starting new_bool_1 with 300s (1) cores
% 0.96/0.60 # Starting sh5l with 300s (1) cores
% 0.96/0.60 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 14209 completed with status 0
% 0.96/0.60 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.96/0.60 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.96/0.60 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.96/0.60 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.96/0.60 # No SInE strategy applied
% 0.96/0.60 # Search class: FGHSM-FSLM31-SFFFFFNN
% 0.96/0.60 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.96/0.60 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 811s (1) cores
% 0.96/0.60 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.96/0.60 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 136s (1) cores
% 0.96/0.60 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.96/0.60 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.96/0.60 # G-E--_208_C18_F1_AE_CS_SP_PI_S0a with pid 14218 completed with status 0
% 0.96/0.60 # Result found by G-E--_208_C18_F1_AE_CS_SP_PI_S0a
% 0.96/0.60 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.96/0.60 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.96/0.60 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.96/0.60 # No SInE strategy applied
% 0.96/0.60 # Search class: FGHSM-FSLM31-SFFFFFNN
% 0.96/0.60 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.96/0.60 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 811s (1) cores
% 0.96/0.60 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.96/0.60 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 136s (1) cores
% 0.96/0.60 # Preprocessing time : 0.005 s
% 0.96/0.60
% 0.96/0.60 # Proof found!
% 0.96/0.60 # SZS status Theorem
% 0.96/0.60 # SZS output start CNFRefutation
% See solution above
% 0.96/0.60 # Parsed axioms : 130
% 0.96/0.60 # Removed by relevancy pruning/SinE : 0
% 0.96/0.60 # Initial clauses : 441
% 0.96/0.60 # Removed in clause preprocessing : 62
% 0.96/0.60 # Initial clauses in saturation : 379
% 0.96/0.60 # Processed clauses : 827
% 0.96/0.60 # ...of these trivial : 30
% 0.96/0.60 # ...subsumed : 87
% 0.96/0.60 # ...remaining for further processing : 709
% 0.96/0.60 # Other redundant clauses eliminated : 0
% 0.96/0.60 # Clauses deleted for lack of memory : 0
% 0.96/0.60 # Backward-subsumed : 0
% 0.96/0.60 # Backward-rewritten : 7
% 0.96/0.60 # Generated clauses : 1270
% 0.96/0.60 # ...of the previous two non-redundant : 1093
% 0.96/0.60 # ...aggressively subsumed : 0
% 0.96/0.60 # Contextual simplify-reflections : 10
% 0.96/0.60 # Paramodulations : 1268
% 0.96/0.60 # Factorizations : 0
% 0.96/0.60 # NegExts : 0
% 0.96/0.60 # Equation resolutions : 2
% 0.96/0.60 # Total rewrite steps : 1541
% 0.96/0.60 # Propositional unsat checks : 0
% 0.96/0.60 # Propositional check models : 0
% 0.96/0.60 # Propositional check unsatisfiable : 0
% 0.96/0.60 # Propositional clauses : 0
% 0.96/0.60 # Propositional clauses after purity: 0
% 0.96/0.60 # Propositional unsat core size : 0
% 0.96/0.60 # Propositional preprocessing time : 0.000
% 0.96/0.60 # Propositional encoding time : 0.000
% 0.96/0.60 # Propositional solver time : 0.000
% 0.96/0.60 # Success case prop preproc time : 0.000
% 0.96/0.60 # Success case prop encoding time : 0.000
% 0.96/0.60 # Success case prop solver time : 0.000
% 0.96/0.60 # Current number of processed clauses : 702
% 0.96/0.60 # Positive orientable unit clauses : 216
% 0.96/0.60 # Positive unorientable unit clauses: 1
% 0.96/0.60 # Negative unit clauses : 13
% 0.96/0.60 # Non-unit-clauses : 472
% 0.96/0.60 # Current number of unprocessed clauses: 635
% 0.96/0.60 # ...number of literals in the above : 1830
% 0.96/0.60 # Current number of archived formulas : 0
% 0.96/0.60 # Current number of archived clauses : 8
% 0.96/0.60 # Clause-clause subsumption calls (NU) : 133788
% 0.96/0.60 # Rec. Clause-clause subsumption calls : 25161
% 0.96/0.60 # Non-unit clause-clause subsumptions : 90
% 0.96/0.60 # Unit Clause-clause subsumption calls : 16191
% 0.96/0.60 # Rewrite failures with RHS unbound : 0
% 0.96/0.60 # BW rewrite match attempts : 32
% 0.96/0.60 # BW rewrite match successes : 6
% 0.96/0.60 # Condensation attempts : 0
% 0.96/0.60 # Condensation successes : 0
% 0.96/0.60 # Termbank termtop insertions : 55787
% 0.96/0.60
% 0.96/0.60 # -------------------------------------------------
% 0.96/0.60 # User time : 0.105 s
% 0.96/0.60 # System time : 0.008 s
% 0.96/0.60 # Total time : 0.113 s
% 0.96/0.60 # Maximum resident set size: 3048 pages
% 0.96/0.60
% 0.96/0.60 # -------------------------------------------------
% 0.96/0.60 # User time : 0.449 s
% 0.96/0.60 # System time : 0.027 s
% 0.96/0.60 # Total time : 0.476 s
% 0.96/0.60 # Maximum resident set size: 1860 pages
% 0.96/0.60 % E---3.1 exiting
% 0.96/0.60 % E---3.1 exiting
%------------------------------------------------------------------------------