TSTP Solution File: LAT356+2 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LAT356+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n006.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 18:10:54 EDT 2023
% Result : Theorem 214.22s 29.02s
% Output : CNFRefutation 214.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 59 ( 13 unt; 0 def)
% Number of atoms : 490 ( 19 equ)
% Maximal formula atoms : 72 ( 8 avg)
% Number of connectives : 680 ( 249 ~; 260 |; 139 &)
% ( 2 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-4 aty)
% Number of variables : 79 ( 1 sgn; 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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.0QjeaLjlxi/E---3.1_22332.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/tmp/tmp.0QjeaLjlxi/E---3.1_22332.p',fc1_waybel_9) ).
fof(t12_lattice3,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ( v3_lattice3(X1)
=> ( v1_lattice3(X1)
& v2_lattice3(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.0QjeaLjlxi/E---3.1_22332.p',t12_lattice3) ).
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.0QjeaLjlxi/E---3.1_22332.p',fc4_waybel10) ).
fof(cc1_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.0QjeaLjlxi/E---3.1_22332.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.0QjeaLjlxi/E---3.1_22332.p',t7_waybel34) ).
fof(d2_waybel34,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) )
=> ( ( v3_lattice3(X1)
& v3_lattice3(X2)
& v18_waybel_0(X3,X2,X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( X4 = k2_waybel34(X1,X2,X3)
<=> v3_waybel_1(k1_waybel_1(X1,X2,X4,X3),X1,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.0QjeaLjlxi/E---3.1_22332.p',d2_waybel34) ).
fof(d1_waybel34,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( ( v3_lattice3(X1)
& v3_lattice3(X2)
& v17_waybel_0(X3,X1,X2) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1)) )
=> ( X4 = k1_waybel34(X1,X2,X3)
<=> v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.0QjeaLjlxi/E---3.1_22332.p',d1_waybel34) ).
fof(t17_relset_1,axiom,
! [X1,X2,X3,X4,X5] :
( m2_relset_1(X5,X1,X3)
=> ( ( r1_tarski(X1,X2)
& r1_tarski(X3,X4) )
=> m2_relset_1(X5,X2,X4) ) ),
file('/export/starexec/sandbox/tmp/tmp.0QjeaLjlxi/E---3.1_22332.p',t17_relset_1) ).
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.0QjeaLjlxi/E---3.1_22332.p',dt_k7_grcat_1) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox/tmp/tmp.0QjeaLjlxi/E---3.1_22332.p',reflexivity_r1_tarski) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/tmp/tmp.0QjeaLjlxi/E---3.1_22332.p',dt_l1_orders_2) ).
fof(c_0_12,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> v3_waybel_1(k1_waybel_1(X1,X1,k7_grcat_1(X1),k7_grcat_1(X1)),X1,X1) ),
inference(fof_simplification,[status(thm)],[t6_waybel34]) ).
fof(c_0_13,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& 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)) ) ),
inference(fof_simplification,[status(thm)],[fc1_waybel_9]) ).
fof(c_0_14,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ( v3_lattice3(X1)
=> ( v1_lattice3(X1)
& v2_lattice3(X1) ) ) ),
inference(fof_simplification,[status(thm)],[t12_lattice3]) ).
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,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattice3]) ).
fof(c_0_17,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_18,plain,
! [X35,X36,X37,X38] :
( ( X38 != k2_waybel34(X35,X36,X37)
| v3_waybel_1(k1_waybel_1(X35,X36,X38,X37),X35,X36)
| ~ v1_funct_1(X38)
| ~ v1_funct_2(X38,u1_struct_0(X35),u1_struct_0(X36))
| ~ m2_relset_1(X38,u1_struct_0(X35),u1_struct_0(X36))
| ~ v3_lattice3(X35)
| ~ v3_lattice3(X36)
| ~ v18_waybel_0(X37,X36,X35)
| ~ v1_funct_1(X37)
| ~ v1_funct_2(X37,u1_struct_0(X36),u1_struct_0(X35))
| ~ m2_relset_1(X37,u1_struct_0(X36),u1_struct_0(X35))
| ~ v2_orders_2(X36)
| ~ v3_orders_2(X36)
| ~ v4_orders_2(X36)
| ~ v1_lattice3(X36)
| ~ v2_lattice3(X36)
| ~ l1_orders_2(X36)
| ~ v2_orders_2(X35)
| ~ v3_orders_2(X35)
| ~ v4_orders_2(X35)
| ~ v1_lattice3(X35)
| ~ v2_lattice3(X35)
| ~ l1_orders_2(X35) )
& ( ~ v3_waybel_1(k1_waybel_1(X35,X36,X38,X37),X35,X36)
| X38 = k2_waybel34(X35,X36,X37)
| ~ v1_funct_1(X38)
| ~ v1_funct_2(X38,u1_struct_0(X35),u1_struct_0(X36))
| ~ m2_relset_1(X38,u1_struct_0(X35),u1_struct_0(X36))
| ~ v3_lattice3(X35)
| ~ v3_lattice3(X36)
| ~ v18_waybel_0(X37,X36,X35)
| ~ v1_funct_1(X37)
| ~ v1_funct_2(X37,u1_struct_0(X36),u1_struct_0(X35))
| ~ m2_relset_1(X37,u1_struct_0(X36),u1_struct_0(X35))
| ~ v2_orders_2(X36)
| ~ v3_orders_2(X36)
| ~ v4_orders_2(X36)
| ~ v1_lattice3(X36)
| ~ v2_lattice3(X36)
| ~ l1_orders_2(X36)
| ~ v2_orders_2(X35)
| ~ v3_orders_2(X35)
| ~ v4_orders_2(X35)
| ~ v1_lattice3(X35)
| ~ v2_lattice3(X35)
| ~ l1_orders_2(X35) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_waybel34])])])]) ).
fof(c_0_19,plain,
! [X31] :
( v3_struct_0(X31)
| ~ l1_orders_2(X31)
| v3_waybel_1(k1_waybel_1(X31,X31,k7_grcat_1(X31),k7_grcat_1(X31)),X31,X31) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).
fof(c_0_20,plain,
! [X27] :
( ( ~ v1_xboole_0(k7_grcat_1(X27))
| v3_struct_0(X27)
| ~ l1_orders_2(X27) )
& ( v1_relat_1(k7_grcat_1(X27))
| v3_struct_0(X27)
| ~ l1_orders_2(X27) )
& ( v1_funct_1(k7_grcat_1(X27))
| v3_struct_0(X27)
| ~ l1_orders_2(X27) )
& ( v1_funct_2(k7_grcat_1(X27),u1_struct_0(X27),u1_struct_0(X27))
| v3_struct_0(X27)
| ~ l1_orders_2(X27) )
& ( v5_orders_3(k7_grcat_1(X27),X27,X27)
| v3_struct_0(X27)
| ~ l1_orders_2(X27) )
& ( v1_partfun1(k7_grcat_1(X27),u1_struct_0(X27),u1_struct_0(X27))
| v3_struct_0(X27)
| ~ l1_orders_2(X27) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_21,plain,
! [X67] :
( ( v1_lattice3(X67)
| ~ v3_lattice3(X67)
| v3_struct_0(X67)
| ~ l1_orders_2(X67) )
& ( v2_lattice3(X67)
| ~ v3_lattice3(X67)
| v3_struct_0(X67)
| ~ l1_orders_2(X67) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_22,plain,
! [X522] :
( ( v1_relat_1(k7_grcat_1(X522))
| v3_struct_0(X522)
| ~ v2_orders_2(X522)
| ~ l1_orders_2(X522) )
& ( v1_funct_1(k7_grcat_1(X522))
| v3_struct_0(X522)
| ~ v2_orders_2(X522)
| ~ l1_orders_2(X522) )
& ( v2_funct_1(k7_grcat_1(X522))
| v3_struct_0(X522)
| ~ v2_orders_2(X522)
| ~ l1_orders_2(X522) )
& ( ~ v1_xboole_0(k7_grcat_1(X522))
| v3_struct_0(X522)
| ~ v2_orders_2(X522)
| ~ l1_orders_2(X522) )
& ( v1_funct_2(k7_grcat_1(X522),u1_struct_0(X522),u1_struct_0(X522))
| v3_struct_0(X522)
| ~ v2_orders_2(X522)
| ~ l1_orders_2(X522) )
& ( v1_partfun1(k7_grcat_1(X522),u1_struct_0(X522),u1_struct_0(X522))
| v3_struct_0(X522)
| ~ v2_orders_2(X522)
| ~ l1_orders_2(X522) )
& ( v11_quantal1(k7_grcat_1(X522))
| v3_struct_0(X522)
| ~ v2_orders_2(X522)
| ~ l1_orders_2(X522) )
& ( v5_orders_3(k7_grcat_1(X522),X522,X522)
| v3_struct_0(X522)
| ~ v2_orders_2(X522)
| ~ l1_orders_2(X522) )
& ( v17_waybel_0(k7_grcat_1(X522),X522,X522)
| v3_struct_0(X522)
| ~ v2_orders_2(X522)
| ~ l1_orders_2(X522) )
& ( v18_waybel_0(k7_grcat_1(X522),X522,X522)
| v3_struct_0(X522)
| ~ v2_orders_2(X522)
| ~ l1_orders_2(X522) )
& ( v19_waybel_0(k7_grcat_1(X522),X522,X522)
| v3_struct_0(X522)
| ~ v2_orders_2(X522)
| ~ l1_orders_2(X522) )
& ( v20_waybel_0(k7_grcat_1(X522),X522,X522)
| v3_struct_0(X522)
| ~ v2_orders_2(X522)
| ~ l1_orders_2(X522) )
& ( v21_waybel_0(k7_grcat_1(X522),X522,X522)
| v3_struct_0(X522)
| ~ v2_orders_2(X522)
| ~ l1_orders_2(X522) )
& ( v22_waybel_0(k7_grcat_1(X522),X522,X522)
| v3_struct_0(X522)
| ~ v2_orders_2(X522)
| ~ l1_orders_2(X522) )
& ( v23_waybel_0(k7_grcat_1(X522),X522,X522)
| v3_struct_0(X522)
| ~ v2_orders_2(X522)
| ~ l1_orders_2(X522) )
& ( v6_waybel_1(k7_grcat_1(X522),X522)
| v3_struct_0(X522)
| ~ v2_orders_2(X522)
| ~ l1_orders_2(X522) )
& ( v7_waybel_1(k7_grcat_1(X522),X522)
| v3_struct_0(X522)
| ~ v2_orders_2(X522)
| ~ l1_orders_2(X522) )
& ( v8_waybel_1(k7_grcat_1(X522),X522)
| v3_struct_0(X522)
| ~ v2_orders_2(X522)
| ~ l1_orders_2(X522) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
fof(c_0_23,plain,
! [X70] :
( ~ l1_orders_2(X70)
| ~ v1_lattice3(X70)
| ~ v3_struct_0(X70) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])]) ).
fof(c_0_24,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_17])])]) ).
cnf(c_0_25,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_18]) ).
cnf(c_0_26,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_19]) ).
cnf(c_0_27,plain,
( v1_funct_1(k7_grcat_1(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
( v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,plain,
( v1_lattice3(X1)
| v3_struct_0(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,plain,
( v2_lattice3(X1)
| v3_struct_0(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,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_32,plain,
( ~ l1_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_35,plain,
! [X52,X53,X54,X55] :
( ( X55 != k1_waybel34(X52,X53,X54)
| v3_waybel_1(k1_waybel_1(X52,X53,X54,X55),X52,X53)
| ~ v1_funct_1(X55)
| ~ v1_funct_2(X55,u1_struct_0(X53),u1_struct_0(X52))
| ~ m2_relset_1(X55,u1_struct_0(X53),u1_struct_0(X52))
| ~ v3_lattice3(X52)
| ~ v3_lattice3(X53)
| ~ v17_waybel_0(X54,X52,X53)
| ~ v1_funct_1(X54)
| ~ v1_funct_2(X54,u1_struct_0(X52),u1_struct_0(X53))
| ~ m2_relset_1(X54,u1_struct_0(X52),u1_struct_0(X53))
| ~ v2_orders_2(X53)
| ~ v3_orders_2(X53)
| ~ v4_orders_2(X53)
| ~ v1_lattice3(X53)
| ~ v2_lattice3(X53)
| ~ l1_orders_2(X53)
| ~ v2_orders_2(X52)
| ~ v3_orders_2(X52)
| ~ v4_orders_2(X52)
| ~ v1_lattice3(X52)
| ~ v2_lattice3(X52)
| ~ l1_orders_2(X52) )
& ( ~ v3_waybel_1(k1_waybel_1(X52,X53,X54,X55),X52,X53)
| X55 = k1_waybel34(X52,X53,X54)
| ~ v1_funct_1(X55)
| ~ v1_funct_2(X55,u1_struct_0(X53),u1_struct_0(X52))
| ~ m2_relset_1(X55,u1_struct_0(X53),u1_struct_0(X52))
| ~ v3_lattice3(X52)
| ~ v3_lattice3(X53)
| ~ v17_waybel_0(X54,X52,X53)
| ~ v1_funct_1(X54)
| ~ v1_funct_2(X54,u1_struct_0(X52),u1_struct_0(X53))
| ~ m2_relset_1(X54,u1_struct_0(X52),u1_struct_0(X53))
| ~ v2_orders_2(X53)
| ~ v3_orders_2(X53)
| ~ v4_orders_2(X53)
| ~ v1_lattice3(X53)
| ~ v2_lattice3(X53)
| ~ l1_orders_2(X53)
| ~ v2_orders_2(X52)
| ~ v3_orders_2(X52)
| ~ v4_orders_2(X52)
| ~ v1_lattice3(X52)
| ~ v2_lattice3(X52)
| ~ l1_orders_2(X52) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_waybel34])])])]) ).
cnf(c_0_36,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_24]) ).
cnf(c_0_37,plain,
( k2_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]) ).
cnf(c_0_38,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_39,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_40,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_41,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
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_32,c_0_33]),c_0_34])]) ).
cnf(c_0_43,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_35]) ).
cnf(c_0_44,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]) ).
fof(c_0_45,plain,
! [X801,X802,X803,X804,X805] :
( ~ m2_relset_1(X805,X801,X803)
| ~ r1_tarski(X801,X802)
| ~ r1_tarski(X803,X804)
| m2_relset_1(X805,X802,X804) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t17_relset_1])]) ).
fof(c_0_46,plain,
! [X20] :
( ( v1_funct_1(k7_grcat_1(X20))
| ~ l1_struct_0(X20) )
& ( v1_funct_2(k7_grcat_1(X20),u1_struct_0(X20),u1_struct_0(X20))
| ~ l1_struct_0(X20) )
& ( m2_relset_1(k7_grcat_1(X20),u1_struct_0(X20),u1_struct_0(X20))
| ~ l1_struct_0(X20) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_grcat_1])])]) ).
cnf(c_0_47,negated_conjecture,
( k1_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) != k7_grcat_1(esk1_0)
| ~ m2_relset_1(k7_grcat_1(esk1_0),u1_struct_0(esk1_0),u1_struct_0(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_38]),c_0_39]),c_0_40]),c_0_41]),c_0_34])]),c_0_42]) ).
cnf(c_0_48,plain,
( k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ v3_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_44]) ).
cnf(c_0_49,plain,
( m2_relset_1(X1,X4,X5)
| ~ m2_relset_1(X1,X2,X3)
| ~ r1_tarski(X2,X4)
| ~ r1_tarski(X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_50,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_46]) ).
fof(c_0_51,plain,
! [X758] : r1_tarski(X758,X758),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(c_0_52,negated_conjecture,
~ m2_relset_1(k7_grcat_1(esk1_0),u1_struct_0(esk1_0),u1_struct_0(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_47,c_0_48]),c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_34])]),c_0_42]) ).
cnf(c_0_53,plain,
( m2_relset_1(k7_grcat_1(X1),X2,X3)
| ~ l1_struct_0(X1)
| ~ r1_tarski(u1_struct_0(X1),X3)
| ~ r1_tarski(u1_struct_0(X1),X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_55,plain,
! [X88] :
( ~ l1_orders_2(X88)
| l1_struct_0(X88) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
cnf(c_0_56,negated_conjecture,
~ l1_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]) ).
cnf(c_0_57,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_58,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_34])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT356+2 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 2400
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Oct 2 10:04:41 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.98/1.22 Running first-order model finding
% 0.98/1.22 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.0QjeaLjlxi/E---3.1_22332.p
% 214.22/29.02 # Version: 3.1pre001
% 214.22/29.02 # Preprocessing class: FMLLSMLLSSSNFFN.
% 214.22/29.02 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 214.22/29.02 # Starting new_bool_3 with 900s (3) cores
% 214.22/29.02 # Starting new_bool_1 with 900s (3) cores
% 214.22/29.02 # Starting sh5l with 300s (1) cores
% 214.22/29.02 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 214.22/29.02 # G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 22414 completed with status 0
% 214.22/29.02 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y
% 214.22/29.02 # Preprocessing class: FMLLSMLLSSSNFFN.
% 214.22/29.02 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 214.22/29.02 # Starting new_bool_3 with 900s (3) cores
% 214.22/29.02 # Starting new_bool_1 with 900s (3) cores
% 214.22/29.02 # Starting sh5l with 300s (1) cores
% 214.22/29.02 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 214.22/29.02 # SinE strategy is gf120_h_gu_RUU_F100_L00500
% 214.22/29.02 # Search class: FGHSM-SMLM32-MFFFFFNN
% 214.22/29.02 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 214.22/29.02 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 23s (1) cores
% 214.22/29.02 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 22415 completed with status 7
% 214.22/29.02 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 31s (1) cores
% 214.22/29.02 # G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 22426 completed with status 0
% 214.22/29.02 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y
% 214.22/29.02 # Preprocessing class: FMLLSMLLSSSNFFN.
% 214.22/29.02 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 214.22/29.02 # Starting new_bool_3 with 900s (3) cores
% 214.22/29.02 # Starting new_bool_1 with 900s (3) cores
% 214.22/29.02 # Starting sh5l with 300s (1) cores
% 214.22/29.02 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 214.22/29.02 # SinE strategy is gf120_h_gu_RUU_F100_L00500
% 214.22/29.02 # Search class: FGHSM-SMLM32-MFFFFFNN
% 214.22/29.02 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 214.22/29.02 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 23s (1) cores
% 214.22/29.02 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 22415 completed with status 7
% 214.22/29.02 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 31s (1) cores
% 214.22/29.02 # Preprocessing time : 0.034 s
% 214.22/29.02
% 214.22/29.02 # Proof found!
% 214.22/29.02 # SZS status Theorem
% 214.22/29.02 # SZS output start CNFRefutation
% See solution above
% 214.22/29.02 # Parsed axioms : 10341
% 214.22/29.02 # Removed by relevancy pruning/SinE : 9840
% 214.22/29.02 # Initial clauses : 1228
% 214.22/29.02 # Removed in clause preprocessing : 38
% 214.22/29.02 # Initial clauses in saturation : 1190
% 214.22/29.02 # Processed clauses : 6524
% 214.22/29.02 # ...of these trivial : 91
% 214.22/29.02 # ...subsumed : 2795
% 214.22/29.02 # ...remaining for further processing : 3638
% 214.22/29.02 # Other redundant clauses eliminated : 76
% 214.22/29.02 # Clauses deleted for lack of memory : 0
% 214.22/29.02 # Backward-subsumed : 123
% 214.22/29.02 # Backward-rewritten : 82
% 214.22/29.02 # Generated clauses : 78154
% 214.22/29.02 # ...of the previous two non-redundant : 73112
% 214.22/29.02 # ...aggressively subsumed : 0
% 214.22/29.02 # Contextual simplify-reflections : 380
% 214.22/29.02 # Paramodulations : 77939
% 214.22/29.02 # Factorizations : 6
% 214.22/29.02 # NegExts : 0
% 214.22/29.02 # Equation resolutions : 211
% 214.22/29.02 # Total rewrite steps : 13442
% 214.22/29.02 # Propositional unsat checks : 0
% 214.22/29.02 # Propositional check models : 0
% 214.22/29.02 # Propositional check unsatisfiable : 0
% 214.22/29.02 # Propositional clauses : 0
% 214.22/29.02 # Propositional clauses after purity: 0
% 214.22/29.02 # Propositional unsat core size : 0
% 214.22/29.02 # Propositional preprocessing time : 0.000
% 214.22/29.02 # Propositional encoding time : 0.000
% 214.22/29.02 # Propositional solver time : 0.000
% 214.22/29.02 # Success case prop preproc time : 0.000
% 214.22/29.02 # Success case prop encoding time : 0.000
% 214.22/29.02 # Success case prop solver time : 0.000
% 214.22/29.02 # Current number of processed clauses : 3421
% 214.22/29.02 # Positive orientable unit clauses : 267
% 214.22/29.02 # Positive unorientable unit clauses: 3
% 214.22/29.02 # Negative unit clauses : 53
% 214.22/29.02 # Non-unit-clauses : 3098
% 214.22/29.02 # Current number of unprocessed clauses: 67392
% 214.22/29.02 # ...number of literals in the above : 432142
% 214.22/29.02 # Current number of archived formulas : 0
% 214.22/29.02 # Current number of archived clauses : 205
% 214.22/29.02 # Clause-clause subsumption calls (NU) : 2536717
% 214.22/29.02 # Rec. Clause-clause subsumption calls : 303530
% 214.22/29.02 # Non-unit clause-clause subsumptions : 2777
% 214.22/29.02 # Unit Clause-clause subsumption calls : 85561
% 214.22/29.02 # Rewrite failures with RHS unbound : 0
% 214.22/29.02 # BW rewrite match attempts : 197
% 214.22/29.02 # BW rewrite match successes : 88
% 214.22/29.02 # Condensation attempts : 0
% 214.22/29.02 # Condensation successes : 0
% 214.22/29.02 # Termbank termtop insertions : 1844092
% 214.22/29.02
% 214.22/29.02 # -------------------------------------------------
% 214.22/29.02 # User time : 26.361 s
% 214.22/29.02 # System time : 0.744 s
% 214.22/29.02 # Total time : 27.105 s
% 214.22/29.02 # Maximum resident set size: 23416 pages
% 214.22/29.02
% 214.22/29.02 # -------------------------------------------------
% 214.22/29.02 # User time : 26.611 s
% 214.22/29.02 # System time : 0.756 s
% 214.22/29.02 # Total time : 27.367 s
% 214.22/29.02 # Maximum resident set size: 16984 pages
% 214.22/29.02 % E---3.1 exiting
%------------------------------------------------------------------------------