TSTP Solution File: LAT356+4 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : LAT356+4 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 300s
% DateTime : Mon May 20 23:25:00 EDT 2024
% Result : Theorem 167.51s 23.76s
% Output : CNFRefutation 167.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 8 unt; 0 def)
% Number of atoms : 436 ( 18 equ)
% Maximal formula atoms : 72 ( 9 avg)
% Number of connectives : 620 ( 230 ~; 239 |; 124 &)
% ( 2 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-4 aty)
% Number of variables : 54 ( 0 sgn 36 !; 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/sandbox2/benchmark/theBenchmark.p',t6_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/sandbox2/benchmark/theBenchmark.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/sandbox2/benchmark/theBenchmark.p',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/sandbox2/benchmark/Axioms/SET007/SET007+503.ax',fc4_waybel10) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+561.ax',t3_waybel22) ).
fof(cc1_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+335.ax',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/sandbox2/benchmark/theBenchmark.p',t7_waybel34) ).
fof(dt_k7_grcat_1,axiom,
! [X1] :
( l1_struct_0(X1)
=> ( v1_funct_1(k7_grcat_1(X1))
& v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
& m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+311.ax',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/sandbox2/benchmark/Axioms/SET007/SET007+485.ax',fc2_waybel_1) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+218.ax',dt_l1_orders_2) ).
fof(c_0_10,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_11,plain,
! [X85,X86,X87,X88] :
( ( X88 != k2_waybel34(X85,X86,X87)
| v3_waybel_1(k1_waybel_1(X85,X86,X88,X87),X85,X86)
| ~ v1_funct_1(X88)
| ~ v1_funct_2(X88,u1_struct_0(X85),u1_struct_0(X86))
| ~ m2_relset_1(X88,u1_struct_0(X85),u1_struct_0(X86))
| ~ v3_lattice3(X85)
| ~ v3_lattice3(X86)
| ~ v18_waybel_0(X87,X86,X85)
| ~ v1_funct_1(X87)
| ~ v1_funct_2(X87,u1_struct_0(X86),u1_struct_0(X85))
| ~ m2_relset_1(X87,u1_struct_0(X86),u1_struct_0(X85))
| ~ 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,X88,X87),X85,X86)
| X88 = k2_waybel34(X85,X86,X87)
| ~ v1_funct_1(X88)
| ~ v1_funct_2(X88,u1_struct_0(X85),u1_struct_0(X86))
| ~ m2_relset_1(X88,u1_struct_0(X85),u1_struct_0(X86))
| ~ v3_lattice3(X85)
| ~ v3_lattice3(X86)
| ~ v18_waybel_0(X87,X86,X85)
| ~ v1_funct_1(X87)
| ~ v1_funct_2(X87,u1_struct_0(X86),u1_struct_0(X85))
| ~ m2_relset_1(X87,u1_struct_0(X86),u1_struct_0(X85))
| ~ 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(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_waybel34])])])])]) ).
fof(c_0_12,plain,
! [X1388] :
( v3_struct_0(X1388)
| ~ l1_orders_2(X1388)
| v3_waybel_1(k1_waybel_1(X1388,X1388,k7_grcat_1(X1388),k7_grcat_1(X1388)),X1388,X1388) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_13,plain,
! [X108,X109,X110,X111] :
( ( X111 != k1_waybel34(X108,X109,X110)
| v3_waybel_1(k1_waybel_1(X108,X109,X110,X111),X108,X109)
| ~ v1_funct_1(X111)
| ~ v1_funct_2(X111,u1_struct_0(X109),u1_struct_0(X108))
| ~ m2_relset_1(X111,u1_struct_0(X109),u1_struct_0(X108))
| ~ v3_lattice3(X108)
| ~ v3_lattice3(X109)
| ~ v17_waybel_0(X110,X108,X109)
| ~ v1_funct_1(X110)
| ~ v1_funct_2(X110,u1_struct_0(X108),u1_struct_0(X109))
| ~ m2_relset_1(X110,u1_struct_0(X108),u1_struct_0(X109))
| ~ v2_orders_2(X109)
| ~ v3_orders_2(X109)
| ~ v4_orders_2(X109)
| ~ v1_lattice3(X109)
| ~ v2_lattice3(X109)
| ~ l1_orders_2(X109)
| ~ v2_orders_2(X108)
| ~ v3_orders_2(X108)
| ~ v4_orders_2(X108)
| ~ v1_lattice3(X108)
| ~ v2_lattice3(X108)
| ~ l1_orders_2(X108) )
& ( ~ v3_waybel_1(k1_waybel_1(X108,X109,X110,X111),X108,X109)
| X111 = k1_waybel34(X108,X109,X110)
| ~ v1_funct_1(X111)
| ~ v1_funct_2(X111,u1_struct_0(X109),u1_struct_0(X108))
| ~ m2_relset_1(X111,u1_struct_0(X109),u1_struct_0(X108))
| ~ v3_lattice3(X108)
| ~ v3_lattice3(X109)
| ~ v17_waybel_0(X110,X108,X109)
| ~ v1_funct_1(X110)
| ~ v1_funct_2(X110,u1_struct_0(X108),u1_struct_0(X109))
| ~ m2_relset_1(X110,u1_struct_0(X108),u1_struct_0(X109))
| ~ v2_orders_2(X109)
| ~ v3_orders_2(X109)
| ~ v4_orders_2(X109)
| ~ v1_lattice3(X109)
| ~ v2_lattice3(X109)
| ~ l1_orders_2(X109)
| ~ v2_orders_2(X108)
| ~ v3_orders_2(X108)
| ~ v4_orders_2(X108)
| ~ v1_lattice3(X108)
| ~ v2_lattice3(X108)
| ~ l1_orders_2(X108) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_waybel34])])])])]) ).
fof(c_0_14,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_15,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> v17_waybel_0(k7_grcat_1(X1),X1,X1) ),
inference(fof_simplification,[status(thm)],[t3_waybel22]) ).
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]) ).
cnf(c_0_18,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_11]) ).
cnf(c_0_19,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_12]) ).
cnf(c_0_20,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_13]) ).
fof(c_0_21,plain,
! [X59] :
( ( v1_funct_1(k7_grcat_1(X59))
| ~ l1_struct_0(X59) )
& ( v1_funct_2(k7_grcat_1(X59),u1_struct_0(X59),u1_struct_0(X59))
| ~ l1_struct_0(X59) )
& ( m2_relset_1(k7_grcat_1(X59),u1_struct_0(X59),u1_struct_0(X59))
| ~ l1_struct_0(X59) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_grcat_1])])])]) ).
fof(c_0_22,plain,
! [X8755] :
( ( v1_relat_1(k7_grcat_1(X8755))
| ~ l1_orders_2(X8755) )
& ( v1_funct_1(k7_grcat_1(X8755))
| ~ l1_orders_2(X8755) )
& ( v1_funct_2(k7_grcat_1(X8755),u1_struct_0(X8755),u1_struct_0(X8755))
| ~ l1_orders_2(X8755) )
& ( v23_waybel_0(k7_grcat_1(X8755),X8755,X8755)
| ~ l1_orders_2(X8755) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_waybel_1])])])]) ).
fof(c_0_23,plain,
! [X1489] :
( ( v1_relat_1(k7_grcat_1(X1489))
| v3_struct_0(X1489)
| ~ v2_orders_2(X1489)
| ~ l1_orders_2(X1489) )
& ( v1_funct_1(k7_grcat_1(X1489))
| v3_struct_0(X1489)
| ~ v2_orders_2(X1489)
| ~ l1_orders_2(X1489) )
& ( v2_funct_1(k7_grcat_1(X1489))
| v3_struct_0(X1489)
| ~ v2_orders_2(X1489)
| ~ l1_orders_2(X1489) )
& ( ~ v1_xboole_0(k7_grcat_1(X1489))
| v3_struct_0(X1489)
| ~ v2_orders_2(X1489)
| ~ l1_orders_2(X1489) )
& ( v1_funct_2(k7_grcat_1(X1489),u1_struct_0(X1489),u1_struct_0(X1489))
| v3_struct_0(X1489)
| ~ v2_orders_2(X1489)
| ~ l1_orders_2(X1489) )
& ( v1_partfun1(k7_grcat_1(X1489),u1_struct_0(X1489),u1_struct_0(X1489))
| v3_struct_0(X1489)
| ~ v2_orders_2(X1489)
| ~ l1_orders_2(X1489) )
& ( v11_quantal1(k7_grcat_1(X1489))
| v3_struct_0(X1489)
| ~ v2_orders_2(X1489)
| ~ l1_orders_2(X1489) )
& ( v5_orders_3(k7_grcat_1(X1489),X1489,X1489)
| v3_struct_0(X1489)
| ~ v2_orders_2(X1489)
| ~ l1_orders_2(X1489) )
& ( v17_waybel_0(k7_grcat_1(X1489),X1489,X1489)
| v3_struct_0(X1489)
| ~ v2_orders_2(X1489)
| ~ l1_orders_2(X1489) )
& ( v18_waybel_0(k7_grcat_1(X1489),X1489,X1489)
| v3_struct_0(X1489)
| ~ v2_orders_2(X1489)
| ~ l1_orders_2(X1489) )
& ( v19_waybel_0(k7_grcat_1(X1489),X1489,X1489)
| v3_struct_0(X1489)
| ~ v2_orders_2(X1489)
| ~ l1_orders_2(X1489) )
& ( v20_waybel_0(k7_grcat_1(X1489),X1489,X1489)
| v3_struct_0(X1489)
| ~ v2_orders_2(X1489)
| ~ l1_orders_2(X1489) )
& ( v21_waybel_0(k7_grcat_1(X1489),X1489,X1489)
| v3_struct_0(X1489)
| ~ v2_orders_2(X1489)
| ~ l1_orders_2(X1489) )
& ( v22_waybel_0(k7_grcat_1(X1489),X1489,X1489)
| v3_struct_0(X1489)
| ~ v2_orders_2(X1489)
| ~ l1_orders_2(X1489) )
& ( v23_waybel_0(k7_grcat_1(X1489),X1489,X1489)
| v3_struct_0(X1489)
| ~ v2_orders_2(X1489)
| ~ l1_orders_2(X1489) )
& ( v6_waybel_1(k7_grcat_1(X1489),X1489)
| v3_struct_0(X1489)
| ~ v2_orders_2(X1489)
| ~ l1_orders_2(X1489) )
& ( v7_waybel_1(k7_grcat_1(X1489),X1489)
| v3_struct_0(X1489)
| ~ v2_orders_2(X1489)
| ~ l1_orders_2(X1489) )
& ( v8_waybel_1(k7_grcat_1(X1489),X1489)
| v3_struct_0(X1489)
| ~ v2_orders_2(X1489)
| ~ l1_orders_2(X1489) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
fof(c_0_24,plain,
! [X1451] :
( v3_struct_0(X1451)
| ~ l1_orders_2(X1451)
| v17_waybel_0(k7_grcat_1(X1451),X1451,X1451) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
fof(c_0_25,plain,
! [X166] :
( ~ l1_orders_2(X166)
| l1_struct_0(X166) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])])]) ).
fof(c_0_26,plain,
! [X128] :
( ~ l1_orders_2(X128)
| ~ v1_lattice3(X128)
| ~ v3_struct_0(X128) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_27,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(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).
cnf(c_0_28,plain,
( k2_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ v18_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(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))
| ~ v1_funct_1(k7_grcat_1(X1)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_29,plain,
( k1_waybel34(X1,X1,k7_grcat_1(X1)) = k7_grcat_1(X1)
| v3_struct_0(X1)
| ~ v17_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(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))
| ~ v1_funct_1(k7_grcat_1(X1)) ),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_30,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_21]) ).
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_22]) ).
cnf(c_0_32,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_23]) ).
cnf(c_0_33,plain,
( v3_struct_0(X1)
| v17_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,plain,
( v1_funct_1(k7_grcat_1(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_35,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_36,plain,
( ~ l1_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_37,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_27]) ).
cnf(c_0_38,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_39,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_40,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_41,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_42,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_43,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_44,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_45,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_28,c_0_29,c_0_30,c_0_31,c_0_32,c_0_33,c_0_34,c_0_35,c_0_36,c_0_37,c_0_38,c_0_39,c_0_40,c_0_41,c_0_42,c_0_43,c_0_44]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : LAT356+4 : TPTP v8.2.0. Released v3.4.0.
% 0.08/0.15 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 21:09:16 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 167.51/23.76 # Version: 3.1.0
% 167.51/23.76 # Preprocessing class: FMLLMLLLSSSNFFN.
% 167.51/23.76 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 167.51/23.76 # Starting new_bool_3 with 897s (3) cores
% 167.51/23.76 # Starting new_bool_1 with 897s (3) cores
% 167.51/23.76 # Starting sh5l with 299s (1) cores
% 167.51/23.76 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 167.51/23.76 # new_bool_3 with pid 10890 completed with status 0
% 167.51/23.76 # Result found by new_bool_3
% 167.51/23.76 # Preprocessing class: FMLLMLLLSSSNFFN.
% 167.51/23.76 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 167.51/23.76 # Starting new_bool_3 with 897s (3) cores
% 167.51/23.76 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 167.51/23.76 # Search class: FGHSM-SMLM32-DFFFFFNN
% 167.51/23.76 # Scheduled 13 strats onto 3 cores with 896 seconds (896 total)
% 167.51/23.76 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 68s (1) cores
% 167.51/23.76 # Starting new_bool_3 with 90s (1) cores
% 167.51/23.76 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 68s (1) cores
% 167.51/23.76 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 10906 completed with status 0
% 167.51/23.76 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 167.51/23.76 # Preprocessing class: FMLLMLLLSSSNFFN.
% 167.51/23.76 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 167.51/23.76 # Starting new_bool_3 with 897s (3) cores
% 167.51/23.76 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 167.51/23.76 # Search class: FGHSM-SMLM32-DFFFFFNN
% 167.51/23.76 # Scheduled 13 strats onto 3 cores with 896 seconds (896 total)
% 167.51/23.76 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 68s (1) cores
% 167.51/23.76 # Preprocessing time : 0.241 s
% 167.51/23.76 # Presaturation interreduction done
% 167.51/23.76 # SatCheck found unsatisfiable ground set
% 167.51/23.76
% 167.51/23.76 # Proof found!
% 167.51/23.76 # SZS status Theorem
% 167.51/23.76 # SZS output start CNFRefutation
% See solution above
% 167.51/23.76 # Parsed axioms : 55701
% 167.51/23.76 # Removed by relevancy pruning/SinE : 52192
% 167.51/23.76 # Initial clauses : 8497
% 167.51/23.76 # Removed in clause preprocessing : 244
% 167.51/23.76 # Initial clauses in saturation : 8253
% 167.51/23.76 # Processed clauses : 15826
% 167.51/23.76 # ...of these trivial : 124
% 167.51/23.76 # ...subsumed : 702
% 167.51/23.76 # ...remaining for further processing : 15000
% 167.51/23.76 # Other redundant clauses eliminated : 1924
% 167.51/23.76 # Clauses deleted for lack of memory : 0
% 167.51/23.76 # Backward-subsumed : 9
% 167.51/23.76 # Backward-rewritten : 36
% 167.51/23.76 # Generated clauses : 184484
% 167.51/23.76 # ...of the previous two non-redundant : 178512
% 167.51/23.76 # ...aggressively subsumed : 0
% 167.51/23.76 # Contextual simplify-reflections : 808
% 167.51/23.76 # Paramodulations : 182499
% 167.51/23.76 # Factorizations : 16
% 167.51/23.76 # NegExts : 0
% 167.51/23.76 # Equation resolutions : 2037
% 167.51/23.76 # Disequality decompositions : 0
% 167.51/23.76 # Total rewrite steps : 31406
% 167.51/23.76 # ...of those cached : 29333
% 167.51/23.76 # Propositional unsat checks : 4
% 167.51/23.76 # Propositional check models : 2
% 167.51/23.76 # Propositional check unsatisfiable : 1
% 167.51/23.76 # Propositional clauses : 185322
% 167.51/23.76 # Propositional clauses after purity: 19844
% 167.51/23.76 # Propositional unsat core size : 17
% 167.51/23.76 # Propositional preprocessing time : 0.000
% 167.51/23.76 # Propositional encoding time : 0.809
% 167.51/23.76 # Propositional solver time : 0.103
% 167.51/23.76 # Success case prop preproc time : 0.000
% 167.51/23.76 # Success case prop encoding time : 0.683
% 167.51/23.76 # Success case prop solver time : 0.048
% 167.51/23.76 # Current number of processed clauses : 6990
% 167.51/23.76 # Positive orientable unit clauses : 647
% 167.51/23.76 # Positive unorientable unit clauses: 4
% 167.51/23.76 # Negative unit clauses : 88
% 167.51/23.76 # Non-unit-clauses : 6251
% 167.51/23.76 # Current number of unprocessed clauses: 178332
% 167.51/23.76 # ...number of literals in the above : 1591724
% 167.51/23.76 # Current number of archived formulas : 0
% 167.51/23.76 # Current number of archived clauses : 7438
% 167.51/23.76 # Clause-clause subsumption calls (NU) : 49643533
% 167.51/23.76 # Rec. Clause-clause subsumption calls : 1641632
% 167.51/23.76 # Non-unit clause-clause subsumptions : 1505
% 167.51/23.76 # Unit Clause-clause subsumption calls : 138615
% 167.51/23.76 # Rewrite failures with RHS unbound : 0
% 167.51/23.76 # BW rewrite match attempts : 194
% 167.51/23.76 # BW rewrite match successes : 118
% 167.51/23.76 # Condensation attempts : 0
% 167.51/23.76 # Condensation successes : 0
% 167.51/23.76 # Termbank termtop insertions : 11834383
% 167.51/23.76 # Search garbage collected termcells : 732771
% 167.51/23.76
% 167.51/23.76 # -------------------------------------------------
% 167.51/23.76 # User time : 20.541 s
% 167.51/23.76 # System time : 0.479 s
% 167.51/23.76 # Total time : 21.020 s
% 167.51/23.76 # Maximum resident set size: 121288 pages
% 167.51/23.76
% 167.51/23.76 # -------------------------------------------------
% 167.51/23.76 # User time : 61.865 s
% 167.51/23.76 # System time : 0.978 s
% 167.51/23.76 # Total time : 62.842 s
% 167.51/23.76 # Maximum resident set size: 90516 pages
% 167.51/23.76 % E---3.1 exiting
% 167.51/23.77 % E exiting
%------------------------------------------------------------------------------