TSTP Solution File: TOP047+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : TOP047+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n014.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 : Fri Sep 1 05:54:13 EDT 2023
% Result : Theorem 1.16s 1.31s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 100
% Syntax : Number of formulae : 181 ( 32 unt; 88 typ; 0 def)
% Number of atoms : 349 ( 73 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 403 ( 147 ~; 149 |; 74 &)
% ( 4 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 105 ( 72 >; 33 *; 0 +; 0 <<)
% Number of predicates : 40 ( 38 usr; 1 prp; 0-3 aty)
% Number of functors : 50 ( 50 usr; 16 con; 0-4 aty)
% Number of variables : 101 ( 5 sgn; 53 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v2_orders_2: $i > $o ).
tff(decl_23,type,
v3_orders_2: $i > $o ).
tff(decl_24,type,
v4_orders_2: $i > $o ).
tff(decl_25,type,
v24_waybel_0: $i > $o ).
tff(decl_26,type,
v25_waybel_0: $i > $o ).
tff(decl_27,type,
v2_lattice3: $i > $o ).
tff(decl_28,type,
l1_orders_2: $i > $o ).
tff(decl_29,type,
u1_struct_0: $i > $i ).
tff(decl_30,type,
u1_orders_2: $i > $i ).
tff(decl_31,type,
g1_orders_2: ( $i * $i ) > $i ).
tff(decl_32,type,
k3_waybel28: $i > $i ).
tff(decl_33,type,
k14_yellow_6: ( $i * $i ) > $i ).
tff(decl_34,type,
v1_orders_2: $i > $o ).
tff(decl_35,type,
l1_pre_topc: $i > $o ).
tff(decl_36,type,
v1_pre_topc: $i > $o ).
tff(decl_37,type,
u1_pre_topc: $i > $i ).
tff(decl_38,type,
g1_pre_topc: ( $i * $i ) > $i ).
tff(decl_39,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_40,type,
v3_struct_0: $i > $o ).
tff(decl_41,type,
v1_yellow_0: $i > $o ).
tff(decl_42,type,
v1_xboole_0: $i > $o ).
tff(decl_43,type,
v1_finset_1: $i > $o ).
tff(decl_44,type,
v1_funct_1: $i > $o ).
tff(decl_45,type,
v1_relat_1: $i > $o ).
tff(decl_46,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_47,type,
k1_zfmisc_1: $i > $i ).
tff(decl_48,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_49,type,
v2_pre_topc: $i > $o ).
tff(decl_50,type,
v3_pre_topc: ( $i * $i ) > $o ).
tff(decl_51,type,
v4_pre_topc: ( $i * $i ) > $o ).
tff(decl_52,type,
v2_funct_1: $i > $o ).
tff(decl_53,type,
v2_tops_1: ( $i * $i ) > $o ).
tff(decl_54,type,
v3_tops_1: ( $i * $i ) > $o ).
tff(decl_55,type,
v1_membered: $i > $o ).
tff(decl_56,type,
v2_membered: $i > $o ).
tff(decl_57,type,
v3_membered: $i > $o ).
tff(decl_58,type,
v4_membered: $i > $o ).
tff(decl_59,type,
v5_membered: $i > $o ).
tff(decl_60,type,
l1_struct_0: $i > $o ).
tff(decl_61,type,
m4_yellow_6: ( $i * $i ) > $o ).
tff(decl_62,type,
k2_tarski: ( $i * $i ) > $i ).
tff(decl_63,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_64,type,
a_2_1_yellow_6: ( $i * $i ) > $i ).
tff(decl_65,type,
k4_tarski: ( $i * $i ) > $i ).
tff(decl_66,type,
k1_tarski: $i > $i ).
tff(decl_67,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_68,type,
l1_waybel_0: ( $i * $i ) > $o ).
tff(decl_69,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_70,type,
k1_xboole_0: $i ).
tff(decl_71,type,
v3_relat_1: $i > $o ).
tff(decl_72,type,
v7_waybel_0: $i > $o ).
tff(decl_73,type,
r1_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_74,type,
esk1_0: $i ).
tff(decl_75,type,
esk2_0: $i ).
tff(decl_76,type,
esk3_0: $i ).
tff(decl_77,type,
esk4_0: $i ).
tff(decl_78,type,
esk5_0: $i ).
tff(decl_79,type,
esk6_1: $i > $i ).
tff(decl_80,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_81,type,
esk8_1: $i > $i ).
tff(decl_82,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_83,type,
esk10_1: $i > $i ).
tff(decl_84,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
esk12_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
esk13_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk14_0: $i ).
tff(decl_88,type,
esk15_0: $i ).
tff(decl_89,type,
esk16_0: $i ).
tff(decl_90,type,
esk17_1: $i > $i ).
tff(decl_91,type,
esk18_1: $i > $i ).
tff(decl_92,type,
esk19_0: $i ).
tff(decl_93,type,
esk20_0: $i ).
tff(decl_94,type,
esk21_1: $i > $i ).
tff(decl_95,type,
esk22_1: $i > $i ).
tff(decl_96,type,
esk23_1: $i > $i ).
tff(decl_97,type,
esk24_1: $i > $i ).
tff(decl_98,type,
esk25_0: $i ).
tff(decl_99,type,
esk26_0: $i ).
tff(decl_100,type,
esk27_0: $i ).
tff(decl_101,type,
esk28_1: $i > $i ).
tff(decl_102,type,
esk29_1: $i > $i ).
tff(decl_103,type,
esk30_1: $i > $i ).
tff(decl_104,type,
esk31_0: $i ).
tff(decl_105,type,
esk32_1: $i > $i ).
tff(decl_106,type,
esk33_0: $i ).
tff(decl_107,type,
esk34_1: $i > $i ).
tff(decl_108,type,
esk35_1: $i > $i ).
tff(decl_109,type,
esk36_2: ( $i * $i ) > $i ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(dt_u1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> m2_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_orders_2) ).
fof(free_g1_orders_2,axiom,
! [X1,X2] :
( m1_relset_1(X2,X1,X1)
=> ! [X3,X4] :
( g1_orders_2(X1,X2) = g1_orders_2(X3,X4)
=> ( X1 = X3
& X2 = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_orders_2) ).
fof(t8_waybel33,conjecture,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v24_waybel_0(X2)
& v25_waybel_0(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ( g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) = g1_orders_2(u1_struct_0(X2),u1_orders_2(X2))
=> k14_yellow_6(X1,k3_waybel28(X1)) = k14_yellow_6(X2,k3_waybel28(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_waybel33) ).
fof(d27_yellow_6,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ! [X2] :
( m4_yellow_6(X2,X1)
=> ! [X3] :
( ( v1_pre_topc(X3)
& l1_pre_topc(X3) )
=> ( X3 = k14_yellow_6(X1,X2)
<=> ( u1_struct_0(X3) = u1_struct_0(X1)
& u1_pre_topc(X3) = a_2_1_yellow_6(X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d27_yellow_6) ).
fof(dt_k14_yellow_6,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m4_yellow_6(X2,X1) )
=> ( v1_pre_topc(k14_yellow_6(X1,X2))
& l1_pre_topc(k14_yellow_6(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k14_yellow_6) ).
fof(l12_waybel33,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v24_waybel_0(X2)
& v25_waybel_0(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ( g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) = g1_orders_2(u1_struct_0(X2),u1_orders_2(X2))
=> r1_tarski(u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))),u1_pre_topc(k14_yellow_6(X2,k3_waybel28(X2)))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l12_waybel33) ).
fof(dt_k3_waybel28,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> m4_yellow_6(k3_waybel28(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_waybel28) ).
fof(cc2_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( r1_tarski(X1,X2)
& r1_tarski(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(abstractness_v1_pre_topc,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ( v1_pre_topc(X1)
=> X1 = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_pre_topc) ).
fof(c_0_12,plain,
! [X148,X149,X150] :
( ( ~ m2_relset_1(X150,X148,X149)
| m1_relset_1(X150,X148,X149) )
& ( ~ m1_relset_1(X150,X148,X149)
| m2_relset_1(X150,X148,X149) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_13,plain,
! [X62] :
( ~ l1_orders_2(X62)
| m2_relset_1(u1_orders_2(X62),u1_struct_0(X62),u1_struct_0(X62)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_orders_2])]) ).
fof(c_0_14,plain,
! [X104,X105,X106,X107] :
( ( X104 = X106
| g1_orders_2(X104,X105) != g1_orders_2(X106,X107)
| ~ m1_relset_1(X105,X104,X104) )
& ( X105 = X107
| g1_orders_2(X104,X105) != g1_orders_2(X106,X107)
| ~ m1_relset_1(X105,X104,X104) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g1_orders_2])])])]) ).
cnf(c_0_15,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( m2_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_17,negated_conjecture,
~ ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v24_waybel_0(X2)
& v25_waybel_0(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ( g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) = g1_orders_2(u1_struct_0(X2),u1_orders_2(X2))
=> k14_yellow_6(X1,k3_waybel28(X1)) = k14_yellow_6(X2,k3_waybel28(X2)) ) ) ),
inference(assume_negation,[status(cth)],[t8_waybel33]) ).
cnf(c_0_18,plain,
( X1 = X2
| g1_orders_2(X3,X1) != g1_orders_2(X4,X2)
| ~ m1_relset_1(X1,X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( m1_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_20,negated_conjecture,
( v2_orders_2(esk1_0)
& v3_orders_2(esk1_0)
& v4_orders_2(esk1_0)
& v24_waybel_0(esk1_0)
& v25_waybel_0(esk1_0)
& v2_lattice3(esk1_0)
& l1_orders_2(esk1_0)
& v2_orders_2(esk2_0)
& v3_orders_2(esk2_0)
& v4_orders_2(esk2_0)
& v24_waybel_0(esk2_0)
& v25_waybel_0(esk2_0)
& v2_lattice3(esk2_0)
& l1_orders_2(esk2_0)
& g1_orders_2(u1_struct_0(esk1_0),u1_orders_2(esk1_0)) = g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0))
& k14_yellow_6(esk1_0,k3_waybel28(esk1_0)) != k14_yellow_6(esk2_0,k3_waybel28(esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
cnf(c_0_21,plain,
( u1_orders_2(X1) = X2
| g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) != g1_orders_2(X3,X2)
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
g1_orders_2(u1_struct_0(esk1_0),u1_orders_2(esk1_0)) = g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_23,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( u1_orders_2(esk1_0) = X1
| g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0)) != g1_orders_2(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_25,negated_conjecture,
u1_orders_2(esk1_0) = u1_orders_2(esk2_0),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_26,plain,
( X1 = X2
| g1_orders_2(X1,X3) != g1_orders_2(X2,X4)
| ~ m1_relset_1(X3,X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_27,negated_conjecture,
m1_relset_1(u1_orders_2(esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_25]),c_0_23])]) ).
cnf(c_0_28,negated_conjecture,
g1_orders_2(u1_struct_0(esk1_0),u1_orders_2(esk2_0)) = g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0)),
inference(rw,[status(thm)],[c_0_22,c_0_25]) ).
fof(c_0_29,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ! [X2] :
( m4_yellow_6(X2,X1)
=> ! [X3] :
( ( v1_pre_topc(X3)
& l1_pre_topc(X3) )
=> ( X3 = k14_yellow_6(X1,X2)
<=> ( u1_struct_0(X3) = u1_struct_0(X1)
& u1_pre_topc(X3) = a_2_1_yellow_6(X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d27_yellow_6]) ).
fof(c_0_30,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m4_yellow_6(X2,X1) )
=> ( v1_pre_topc(k14_yellow_6(X1,X2))
& l1_pre_topc(k14_yellow_6(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[dt_k14_yellow_6]) ).
fof(c_0_31,plain,
! [X112,X113] :
( ~ v2_orders_2(X112)
| ~ v3_orders_2(X112)
| ~ v4_orders_2(X112)
| ~ v24_waybel_0(X112)
| ~ v25_waybel_0(X112)
| ~ v2_lattice3(X112)
| ~ l1_orders_2(X112)
| ~ v2_orders_2(X113)
| ~ v3_orders_2(X113)
| ~ v4_orders_2(X113)
| ~ v24_waybel_0(X113)
| ~ v25_waybel_0(X113)
| ~ v2_lattice3(X113)
| ~ l1_orders_2(X113)
| g1_orders_2(u1_struct_0(X112),u1_orders_2(X112)) != g1_orders_2(u1_struct_0(X113),u1_orders_2(X113))
| r1_tarski(u1_pre_topc(k14_yellow_6(X112,k3_waybel28(X112))),u1_pre_topc(k14_yellow_6(X113,k3_waybel28(X113)))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l12_waybel33])])]) ).
cnf(c_0_32,negated_conjecture,
( u1_struct_0(esk1_0) = X1
| g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0)) != g1_orders_2(X1,X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
fof(c_0_33,plain,
! [X43,X44,X45] :
( ( u1_struct_0(X45) = u1_struct_0(X43)
| X45 != k14_yellow_6(X43,X44)
| ~ v1_pre_topc(X45)
| ~ l1_pre_topc(X45)
| ~ m4_yellow_6(X44,X43)
| v3_struct_0(X43)
| ~ l1_struct_0(X43) )
& ( u1_pre_topc(X45) = a_2_1_yellow_6(X43,X44)
| X45 != k14_yellow_6(X43,X44)
| ~ v1_pre_topc(X45)
| ~ l1_pre_topc(X45)
| ~ m4_yellow_6(X44,X43)
| v3_struct_0(X43)
| ~ l1_struct_0(X43) )
& ( u1_struct_0(X45) != u1_struct_0(X43)
| u1_pre_topc(X45) != a_2_1_yellow_6(X43,X44)
| X45 = k14_yellow_6(X43,X44)
| ~ v1_pre_topc(X45)
| ~ l1_pre_topc(X45)
| ~ m4_yellow_6(X44,X43)
| v3_struct_0(X43)
| ~ l1_struct_0(X43) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])]) ).
fof(c_0_34,plain,
! [X52,X53] :
( ( v1_pre_topc(k14_yellow_6(X52,X53))
| v3_struct_0(X52)
| ~ l1_struct_0(X52)
| ~ m4_yellow_6(X53,X52) )
& ( l1_pre_topc(k14_yellow_6(X52,X53))
| v3_struct_0(X52)
| ~ l1_struct_0(X52)
| ~ m4_yellow_6(X53,X52) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).
fof(c_0_35,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> m4_yellow_6(k3_waybel28(X1),X1) ),
inference(fof_simplification,[status(thm)],[dt_k3_waybel28]) ).
fof(c_0_36,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc2_lattice3]) ).
cnf(c_0_37,plain,
( r1_tarski(u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))),u1_pre_topc(k14_yellow_6(X2,k3_waybel28(X2))))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v24_waybel_0(X2)
| ~ v25_waybel_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) != g1_orders_2(u1_struct_0(X2),u1_orders_2(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,negated_conjecture,
u1_struct_0(esk1_0) = u1_struct_0(esk2_0),
inference(er,[status(thm)],[c_0_32]) ).
cnf(c_0_39,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_40,negated_conjecture,
v25_waybel_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_41,negated_conjecture,
v24_waybel_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_42,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_43,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_44,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_45,plain,
( u1_pre_topc(X1) = a_2_1_yellow_6(X2,X3)
| v3_struct_0(X2)
| X1 != k14_yellow_6(X2,X3)
| ~ v1_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m4_yellow_6(X3,X2)
| ~ l1_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_46,plain,
( l1_pre_topc(k14_yellow_6(X1,X2))
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m4_yellow_6(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_47,plain,
( v1_pre_topc(k14_yellow_6(X1,X2))
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m4_yellow_6(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_48,plain,
! [X54] :
( v3_struct_0(X54)
| ~ l1_orders_2(X54)
| m4_yellow_6(k3_waybel28(X54),X54) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])]) ).
fof(c_0_49,plain,
! [X55] :
( ~ l1_orders_2(X55)
| l1_struct_0(X55) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
fof(c_0_50,plain,
! [X26] :
( ~ l1_orders_2(X26)
| ~ v2_lattice3(X26)
| ~ v3_struct_0(X26) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])]) ).
cnf(c_0_51,negated_conjecture,
( r1_tarski(u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))),u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))))
| g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) != g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v25_waybel_0(X1)
| ~ v24_waybel_0(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
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(spm,[status(thm)],[c_0_37,c_0_25]),c_0_38]),c_0_23]),c_0_39]),c_0_40]),c_0_41]),c_0_42]),c_0_43]),c_0_44])]) ).
cnf(c_0_52,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_53,negated_conjecture,
v2_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_54,negated_conjecture,
v25_waybel_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_55,negated_conjecture,
v24_waybel_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_56,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_57,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_58,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_59,plain,
( u1_pre_topc(k14_yellow_6(X1,X2)) = a_2_1_yellow_6(X1,X2)
| v3_struct_0(X1)
| ~ m4_yellow_6(X2,X1)
| ~ l1_struct_0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_45]),c_0_46]),c_0_47]) ).
cnf(c_0_60,plain,
( v3_struct_0(X1)
| m4_yellow_6(k3_waybel28(X1),X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_61,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_62,plain,
( ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
fof(c_0_63,plain,
! [X41,X42] :
( ( r1_tarski(X41,X42)
| X41 != X42 )
& ( r1_tarski(X42,X41)
| X41 != X42 )
& ( ~ r1_tarski(X41,X42)
| ~ r1_tarski(X42,X41)
| X41 = X42 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])]) ).
cnf(c_0_64,negated_conjecture,
r1_tarski(u1_pre_topc(k14_yellow_6(esk2_0,k3_waybel28(esk2_0))),u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(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(er,[status(thm)],[c_0_51]),c_0_52]),c_0_53]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58])]) ).
cnf(c_0_65,plain,
( u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))) = a_2_1_yellow_6(X1,k3_waybel28(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).
cnf(c_0_66,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_53]),c_0_52])]) ).
cnf(c_0_67,negated_conjecture,
( r1_tarski(u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v25_waybel_0(X1)
| ~ v24_waybel_0(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
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(spm,[status(thm)],[c_0_37,c_0_25]),c_0_38]),c_0_23]),c_0_39]),c_0_40]),c_0_41]),c_0_42]),c_0_43]),c_0_44])]) ).
cnf(c_0_68,plain,
( X1 = X2
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_69,negated_conjecture,
r1_tarski(a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0)),u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_52])]),c_0_66]) ).
cnf(c_0_70,negated_conjecture,
r1_tarski(u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))),u1_pre_topc(k14_yellow_6(esk2_0,k3_waybel28(esk2_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(er,[status(thm)],[c_0_67]),c_0_52]),c_0_53]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58])]) ).
cnf(c_0_71,negated_conjecture,
( u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))) = a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0))
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))),a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0))) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_72,negated_conjecture,
r1_tarski(u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))),a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_65]),c_0_52])]),c_0_66]) ).
fof(c_0_73,plain,
! [X10] :
( ~ l1_pre_topc(X10)
| ~ v1_pre_topc(X10)
| X10 = g1_pre_topc(u1_struct_0(X10),u1_pre_topc(X10)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v1_pre_topc])]) ).
cnf(c_0_74,negated_conjecture,
( u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))) = u1_pre_topc(k14_yellow_6(esk2_0,k3_waybel28(esk2_0)))
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))),u1_pre_topc(k14_yellow_6(esk2_0,k3_waybel28(esk2_0)))) ),
inference(spm,[status(thm)],[c_0_68,c_0_64]) ).
cnf(c_0_75,negated_conjecture,
u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))) = a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72])]) ).
cnf(c_0_76,plain,
( X1 = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| ~ l1_pre_topc(X1)
| ~ v1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_77,negated_conjecture,
u1_pre_topc(k14_yellow_6(esk2_0,k3_waybel28(esk2_0))) = a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_70])]),c_0_75]) ).
cnf(c_0_78,negated_conjecture,
( g1_pre_topc(u1_struct_0(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))),a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0))) = k14_yellow_6(esk1_0,k3_waybel28(esk1_0))
| ~ v1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0)))
| ~ l1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))) ),
inference(spm,[status(thm)],[c_0_76,c_0_75]) ).
cnf(c_0_79,plain,
( v3_struct_0(X1)
| v1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1)))
| ~ l1_orders_2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_60]),c_0_61]) ).
cnf(c_0_80,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_39]),c_0_23])]) ).
cnf(c_0_81,plain,
( u1_struct_0(X1) = u1_struct_0(X2)
| v3_struct_0(X2)
| X1 != k14_yellow_6(X2,X3)
| ~ v1_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m4_yellow_6(X3,X2)
| ~ l1_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_82,negated_conjecture,
( g1_pre_topc(u1_struct_0(k14_yellow_6(esk2_0,k3_waybel28(esk2_0))),a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0))) = k14_yellow_6(esk2_0,k3_waybel28(esk2_0))
| ~ v1_pre_topc(k14_yellow_6(esk2_0,k3_waybel28(esk2_0)))
| ~ l1_pre_topc(k14_yellow_6(esk2_0,k3_waybel28(esk2_0))) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_83,negated_conjecture,
( g1_pre_topc(u1_struct_0(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))),a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0))) = k14_yellow_6(esk1_0,k3_waybel28(esk1_0))
| ~ l1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_23])]),c_0_80]) ).
cnf(c_0_84,plain,
( v3_struct_0(X1)
| l1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1)))
| ~ l1_orders_2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_60]),c_0_61]) ).
cnf(c_0_85,plain,
( u1_struct_0(k14_yellow_6(X1,X2)) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ m4_yellow_6(X2,X1)
| ~ l1_struct_0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_81]),c_0_46]),c_0_47]) ).
cnf(c_0_86,negated_conjecture,
( g1_pre_topc(u1_struct_0(k14_yellow_6(esk2_0,k3_waybel28(esk2_0))),a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0))) = k14_yellow_6(esk2_0,k3_waybel28(esk2_0))
| ~ l1_pre_topc(k14_yellow_6(esk2_0,k3_waybel28(esk2_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_79]),c_0_52])]),c_0_66]) ).
cnf(c_0_87,negated_conjecture,
g1_pre_topc(u1_struct_0(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))),a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0))) = k14_yellow_6(esk1_0,k3_waybel28(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_23])]),c_0_80]) ).
cnf(c_0_88,plain,
( u1_struct_0(k14_yellow_6(X1,k3_waybel28(X1))) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_60]),c_0_61]) ).
cnf(c_0_89,negated_conjecture,
g1_pre_topc(u1_struct_0(k14_yellow_6(esk2_0,k3_waybel28(esk2_0))),a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0))) = k14_yellow_6(esk2_0,k3_waybel28(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_84]),c_0_52])]),c_0_66]) ).
cnf(c_0_90,negated_conjecture,
g1_pre_topc(u1_struct_0(esk2_0),a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0))) = k14_yellow_6(esk1_0,k3_waybel28(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_38]),c_0_23])]),c_0_80]) ).
cnf(c_0_91,negated_conjecture,
k14_yellow_6(esk1_0,k3_waybel28(esk1_0)) != k14_yellow_6(esk2_0,k3_waybel28(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_92,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_88]),c_0_90]),c_0_52])]),c_0_91]),c_0_66]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : TOP047+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 23:57:02 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 1.16/1.31 % Version : CSE_E---1.5
% 1.16/1.31 % Problem : theBenchmark.p
% 1.16/1.31 % Proof found
% 1.16/1.31 % SZS status Theorem for theBenchmark.p
% 1.16/1.31 % SZS output start Proof
% See solution above
% 1.26/1.32 % Total time : 0.714000 s
% 1.26/1.32 % SZS output end Proof
% 1.26/1.32 % Total time : 0.719000 s
%------------------------------------------------------------------------------