TSTP Solution File: LAT363+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT363+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n001.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 : Thu Aug 31 06:02:06 EDT 2023
% Result : Theorem 2.76s 2.89s
% Output : CNFRefutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 91
% Syntax : Number of formulae : 173 ( 25 unt; 79 typ; 0 def)
% Number of atoms : 460 ( 20 equ)
% Maximal formula atoms : 50 ( 4 avg)
% Number of connectives : 614 ( 248 ~; 255 |; 74 &)
% ( 5 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 104 ( 65 >; 39 *; 0 +; 0 <<)
% Number of predicates : 35 ( 33 usr; 1 prp; 0-3 aty)
% Number of functors : 46 ( 46 usr; 14 con; 0-4 aty)
% Number of variables : 146 ( 4 sgn; 80 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v3_struct_0: $i > $o ).
tff(decl_23,type,
v2_pre_topc: $i > $o ).
tff(decl_24,type,
l1_pre_topc: $i > $o ).
tff(decl_25,type,
v1_funct_1: $i > $o ).
tff(decl_26,type,
u1_struct_0: $i > $i ).
tff(decl_27,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_29,type,
v2_waybel34: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
k8_waybel18: ( $i * $i * $i ) > $i ).
tff(decl_31,type,
k7_waybel18: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
v1_t_0topsp: ( $i * $i * $i ) > $o ).
tff(decl_33,type,
v1_pre_topc: $i > $o ).
tff(decl_34,type,
u1_pre_topc: $i > $i ).
tff(decl_35,type,
g1_pre_topc: ( $i * $i ) > $i ).
tff(decl_36,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_37,type,
v1_membered: $i > $o ).
tff(decl_38,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_39,type,
v1_xcmplx_0: $i > $o ).
tff(decl_40,type,
v2_membered: $i > $o ).
tff(decl_41,type,
v1_xreal_0: $i > $o ).
tff(decl_42,type,
v3_membered: $i > $o ).
tff(decl_43,type,
v1_rat_1: $i > $o ).
tff(decl_44,type,
v4_membered: $i > $o ).
tff(decl_45,type,
v1_int_1: $i > $o ).
tff(decl_46,type,
v5_membered: $i > $o ).
tff(decl_47,type,
v4_ordinal2: $i > $o ).
tff(decl_48,type,
v1_xboole_0: $i > $o ).
tff(decl_49,type,
k1_zfmisc_1: $i > $i ).
tff(decl_50,type,
v1_finset_1: $i > $o ).
tff(decl_51,type,
m1_pre_topc: ( $i * $i ) > $o ).
tff(decl_52,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_53,type,
v1_relat_1: $i > $o ).
tff(decl_54,type,
v3_pre_topc: ( $i * $i ) > $o ).
tff(decl_55,type,
v4_pre_topc: ( $i * $i ) > $o ).
tff(decl_56,type,
v2_funct_1: $i > $o ).
tff(decl_57,type,
v2_tops_1: ( $i * $i ) > $o ).
tff(decl_58,type,
v3_tops_1: ( $i * $i ) > $o ).
tff(decl_59,type,
k4_pre_topc: ( $i * $i * $i * $i ) > $i ).
tff(decl_60,type,
l1_struct_0: $i > $o ).
tff(decl_61,type,
k1_yellow_2: ( $i * $i * $i ) > $i ).
tff(decl_62,type,
k3_pre_topc: ( $i * $i ) > $i ).
tff(decl_63,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_64,type,
k8_yellow_2: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
k9_relat_1: ( $i * $i ) > $i ).
tff(decl_66,type,
k1_xboole_0: $i ).
tff(decl_67,type,
k2_relat_1: $i > $i ).
tff(decl_68,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_69,type,
esk1_0: $i ).
tff(decl_70,type,
esk2_0: $i ).
tff(decl_71,type,
esk3_0: $i ).
tff(decl_72,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk6_0: $i ).
tff(decl_75,type,
esk7_0: $i ).
tff(decl_76,type,
esk8_1: $i > $i ).
tff(decl_77,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_78,type,
esk10_1: $i > $i ).
tff(decl_79,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_80,type,
esk12_0: $i ).
tff(decl_81,type,
esk13_0: $i ).
tff(decl_82,type,
esk14_0: $i ).
tff(decl_83,type,
esk15_0: $i ).
tff(decl_84,type,
esk16_1: $i > $i ).
tff(decl_85,type,
esk17_0: $i ).
tff(decl_86,type,
esk18_0: $i ).
tff(decl_87,type,
esk19_1: $i > $i ).
tff(decl_88,type,
esk20_1: $i > $i ).
tff(decl_89,type,
esk21_0: $i ).
tff(decl_90,type,
esk22_1: $i > $i ).
tff(decl_91,type,
esk23_0: $i ).
tff(decl_92,type,
esk24_1: $i > $i ).
tff(decl_93,type,
esk25_1: $i > $i ).
tff(decl_94,type,
esk26_1: $i > $i ).
tff(decl_95,type,
esk27_1: $i > $i ).
tff(decl_96,type,
esk28_1: $i > $i ).
tff(decl_97,type,
esk29_1: $i > $i ).
tff(decl_98,type,
esk30_1: $i > $i ).
tff(decl_99,type,
esk31_1: $i > $i ).
tff(decl_100,type,
esk32_1: $i > $i ).
fof(d7_waybel18,axiom,
! [X1] :
( l1_struct_0(X1)
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_pre_topc(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)) )
=> k8_waybel18(X1,X2,X3) = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_waybel18) ).
fof(t26_waybel34,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_pre_topc(X2)
& l1_pre_topc(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)) )
=> ( v2_waybel34(X3,X1,X2)
<=> v1_t_0topsp(k8_waybel18(X1,X2,X3),X1,k7_waybel18(X1,X2,X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_waybel34) ).
fof(dt_k8_waybel18,axiom,
! [X1,X2,X3] :
( ( l1_struct_0(X1)
& ~ v3_struct_0(X2)
& l1_pre_topc(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_funct_1(k8_waybel18(X1,X2,X3))
& v1_funct_2(k8_waybel18(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k7_waybel18(X1,X2,X3)))
& m2_relset_1(k8_waybel18(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k7_waybel18(X1,X2,X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_waybel18) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(dt_l1_pre_topc,axiom,
! [X1] :
( l1_pre_topc(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(redefinition_k4_pre_topc,axiom,
! [X1,X2,X3,X4] :
( ( l1_struct_0(X1)
& l1_struct_0(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> k4_pre_topc(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_pre_topc) ).
fof(dt_k7_waybel18,axiom,
! [X1,X2,X3] :
( ( l1_struct_0(X1)
& l1_pre_topc(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> m1_pre_topc(k7_waybel18(X1,X2,X3),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_waybel18) ).
fof(dt_m1_pre_topc,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_pre_topc(X2,X1)
=> l1_pre_topc(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_pre_topc) ).
fof(dt_k4_pre_topc,axiom,
! [X1,X2,X3,X4] :
( ( l1_struct_0(X1)
& l1_struct_0(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> m1_subset_1(k4_pre_topc(X1,X2,X3,X4),k1_zfmisc_1(u1_struct_0(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_pre_topc) ).
fof(d6_waybel18,axiom,
! [X1] :
( l1_struct_0(X1)
=> ! [X2] :
( l1_pre_topc(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)) )
=> k7_waybel18(X1,X2,X3) = k3_pre_topc(X2,k1_yellow_2(X1,X2,X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_waybel18) ).
fof(d2_t_0topsp,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( l1_pre_topc(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)) )
=> ( v1_t_0topsp(X3,X1,X2)
<=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v3_pre_topc(X4,X1)
=> v3_pre_topc(k4_pre_topc(X1,X2,X3,X4),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_t_0topsp) ).
fof(d9_waybel34,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( v2_pre_topc(X2)
& l1_pre_topc(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)) )
=> ( v2_waybel34(X3,X1,X2)
<=> ! [X4] :
( ( v3_pre_topc(X4,X1)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( v3_pre_topc(k4_pre_topc(X1,X2,X3,X4),k3_pre_topc(X2,k1_yellow_2(X1,X2,X3)))
& m1_subset_1(k4_pre_topc(X1,X2,X3,X4),k1_zfmisc_1(u1_struct_0(k3_pre_topc(X2,k1_yellow_2(X1,X2,X3))))) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_waybel34) ).
fof(c_0_12,plain,
! [X1] :
( l1_struct_0(X1)
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_pre_topc(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)) )
=> k8_waybel18(X1,X2,X3) = X3 ) ) ),
inference(fof_simplification,[status(thm)],[d7_waybel18]) ).
fof(c_0_13,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_pre_topc(X2)
& l1_pre_topc(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)) )
=> ( v2_waybel34(X3,X1,X2)
<=> v1_t_0topsp(k8_waybel18(X1,X2,X3),X1,k7_waybel18(X1,X2,X3)) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t26_waybel34])]) ).
fof(c_0_14,plain,
! [X66,X67,X68] :
( ~ l1_struct_0(X66)
| v3_struct_0(X67)
| ~ l1_pre_topc(X67)
| ~ v1_funct_1(X68)
| ~ v1_funct_2(X68,u1_struct_0(X66),u1_struct_0(X67))
| ~ m2_relset_1(X68,u1_struct_0(X66),u1_struct_0(X67))
| k8_waybel18(X66,X67,X68) = X68 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_15,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& ~ v3_struct_0(esk2_0)
& v2_pre_topc(esk2_0)
& l1_pre_topc(esk2_0)
& v1_funct_1(esk3_0)
& v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& ( ~ v2_waybel34(esk3_0,esk1_0,esk2_0)
| ~ v1_t_0topsp(k8_waybel18(esk1_0,esk2_0,esk3_0),esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0)) )
& ( v2_waybel34(esk3_0,esk1_0,esk2_0)
| v1_t_0topsp(k8_waybel18(esk1_0,esk2_0,esk3_0),esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_16,plain,
! [X1,X2,X3] :
( ( l1_struct_0(X1)
& ~ v3_struct_0(X2)
& l1_pre_topc(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_funct_1(k8_waybel18(X1,X2,X3))
& v1_funct_2(k8_waybel18(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k7_waybel18(X1,X2,X3)))
& m2_relset_1(k8_waybel18(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k7_waybel18(X1,X2,X3))) ) ),
inference(fof_simplification,[status(thm)],[dt_k8_waybel18]) ).
fof(c_0_17,plain,
! [X174,X175,X176] :
( ( ~ m2_relset_1(X176,X174,X175)
| m1_relset_1(X176,X174,X175) )
& ( ~ m1_relset_1(X176,X174,X175)
| m2_relset_1(X176,X174,X175) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_18,plain,
( v3_struct_0(X2)
| k8_waybel18(X1,X2,X3) = X3
| ~ l1_struct_0(X1)
| ~ l1_pre_topc(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)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
l1_pre_topc(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_24,plain,
! [X94] :
( ~ l1_pre_topc(X94)
| l1_struct_0(X94) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).
fof(c_0_25,plain,
! [X88,X89,X90] :
( ( v1_funct_1(k8_waybel18(X88,X89,X90))
| ~ l1_struct_0(X88)
| v3_struct_0(X89)
| ~ l1_pre_topc(X89)
| ~ v1_funct_1(X90)
| ~ v1_funct_2(X90,u1_struct_0(X88),u1_struct_0(X89))
| ~ m1_relset_1(X90,u1_struct_0(X88),u1_struct_0(X89)) )
& ( v1_funct_2(k8_waybel18(X88,X89,X90),u1_struct_0(X88),u1_struct_0(k7_waybel18(X88,X89,X90)))
| ~ l1_struct_0(X88)
| v3_struct_0(X89)
| ~ l1_pre_topc(X89)
| ~ v1_funct_1(X90)
| ~ v1_funct_2(X90,u1_struct_0(X88),u1_struct_0(X89))
| ~ m1_relset_1(X90,u1_struct_0(X88),u1_struct_0(X89)) )
& ( m2_relset_1(k8_waybel18(X88,X89,X90),u1_struct_0(X88),u1_struct_0(k7_waybel18(X88,X89,X90)))
| ~ l1_struct_0(X88)
| v3_struct_0(X89)
| ~ l1_pre_topc(X89)
| ~ v1_funct_1(X90)
| ~ v1_funct_2(X90,u1_struct_0(X88),u1_struct_0(X89))
| ~ m1_relset_1(X90,u1_struct_0(X88),u1_struct_0(X89)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
cnf(c_0_26,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,negated_conjecture,
( k8_waybel18(esk1_0,esk2_0,esk3_0) = esk3_0
| ~ l1_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(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_28,plain,
( l1_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_30,plain,
! [X167,X168,X169,X170] :
( ~ l1_struct_0(X167)
| ~ l1_struct_0(X168)
| ~ v1_funct_1(X169)
| ~ v1_funct_2(X169,u1_struct_0(X167),u1_struct_0(X168))
| ~ m1_relset_1(X169,u1_struct_0(X167),u1_struct_0(X168))
| k4_pre_topc(X167,X168,X169,X170) = k9_relat_1(X169,X170) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_pre_topc])]) ).
cnf(c_0_31,plain,
( m2_relset_1(k8_waybel18(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k7_waybel18(X1,X2,X3)))
| v3_struct_0(X2)
| ~ l1_struct_0(X1)
| ~ l1_pre_topc(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,negated_conjecture,
m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_26,c_0_19]) ).
cnf(c_0_33,negated_conjecture,
k8_waybel18(esk1_0,esk2_0,esk3_0) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_34,plain,
( k4_pre_topc(X1,X2,X3,X4) = k9_relat_1(X3,X4)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,negated_conjecture,
( m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)))
| ~ l1_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(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_36,plain,
( v1_funct_2(k8_waybel18(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k7_waybel18(X1,X2,X3)))
| v3_struct_0(X2)
| ~ l1_struct_0(X1)
| ~ l1_pre_topc(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_37,negated_conjecture,
( k9_relat_1(esk3_0,X1) = k4_pre_topc(esk1_0,esk2_0,esk3_0,X1)
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_32]),c_0_20]),c_0_21])]) ).
fof(c_0_38,plain,
! [X85,X86,X87] :
( ~ l1_struct_0(X85)
| ~ l1_pre_topc(X86)
| ~ v1_funct_1(X87)
| ~ v1_funct_2(X87,u1_struct_0(X85),u1_struct_0(X86))
| ~ m1_relset_1(X87,u1_struct_0(X85),u1_struct_0(X86))
| m1_pre_topc(k7_waybel18(X85,X86,X87),X86) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_waybel18])]) ).
cnf(c_0_39,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_28]),c_0_29])]) ).
cnf(c_0_40,negated_conjecture,
( v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)))
| ~ l1_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(spm,[status(thm)],[c_0_36,c_0_32]),c_0_33]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_41,negated_conjecture,
( k9_relat_1(esk3_0,X1) = k4_pre_topc(esk1_0,esk2_0,esk3_0,X1)
| ~ l1_struct_0(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_28]),c_0_22])]) ).
cnf(c_0_42,plain,
( m1_pre_topc(k7_waybel18(X1,X2,X3),X2)
| ~ l1_struct_0(X1)
| ~ l1_pre_topc(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_43,negated_conjecture,
m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0))),
inference(spm,[status(thm)],[c_0_26,c_0_39]) ).
cnf(c_0_44,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_28]),c_0_29])]) ).
cnf(c_0_45,negated_conjecture,
k9_relat_1(esk3_0,X1) = k4_pre_topc(esk1_0,esk2_0,esk3_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_28]),c_0_29])]) ).
fof(c_0_46,plain,
! [X95,X96] :
( ~ l1_pre_topc(X95)
| ~ m1_pre_topc(X96,X95)
| l1_pre_topc(X96) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_pre_topc])])]) ).
cnf(c_0_47,negated_conjecture,
( m1_pre_topc(k7_waybel18(esk1_0,esk2_0,esk3_0),esk2_0)
| ~ l1_struct_0(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_32]),c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_48,negated_conjecture,
( k4_pre_topc(esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0),esk3_0,X1) = k4_pre_topc(esk1_0,esk2_0,esk3_0,X1)
| ~ l1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0))
| ~ l1_struct_0(esk1_0) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_43]),c_0_44]),c_0_21])]),c_0_45]) ).
cnf(c_0_49,plain,
( l1_pre_topc(X2)
| ~ l1_pre_topc(X1)
| ~ m1_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_50,negated_conjecture,
m1_pre_topc(k7_waybel18(esk1_0,esk2_0,esk3_0),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_28]),c_0_29])]) ).
fof(c_0_51,plain,
! [X81,X82,X83,X84] :
( ~ l1_struct_0(X81)
| ~ l1_struct_0(X82)
| ~ v1_funct_1(X83)
| ~ v1_funct_2(X83,u1_struct_0(X81),u1_struct_0(X82))
| ~ m1_relset_1(X83,u1_struct_0(X81),u1_struct_0(X82))
| m1_subset_1(k4_pre_topc(X81,X82,X83,X84),k1_zfmisc_1(u1_struct_0(X82))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_pre_topc])]) ).
cnf(c_0_52,negated_conjecture,
( k4_pre_topc(esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0),esk3_0,X1) = k4_pre_topc(esk1_0,esk2_0,esk3_0,X1)
| ~ l1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_28]),c_0_29])]) ).
cnf(c_0_53,negated_conjecture,
l1_pre_topc(k7_waybel18(esk1_0,esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_22])]) ).
fof(c_0_54,plain,
! [X63,X64,X65] :
( ~ l1_struct_0(X63)
| ~ l1_pre_topc(X64)
| ~ v1_funct_1(X65)
| ~ v1_funct_2(X65,u1_struct_0(X63),u1_struct_0(X64))
| ~ m2_relset_1(X65,u1_struct_0(X63),u1_struct_0(X64))
| k7_waybel18(X63,X64,X65) = k3_pre_topc(X64,k1_yellow_2(X63,X64,X65)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_waybel18])])]) ).
cnf(c_0_55,plain,
( m1_subset_1(k4_pre_topc(X1,X2,X3,X4),k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_56,negated_conjecture,
k4_pre_topc(esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0),esk3_0,X1) = k4_pre_topc(esk1_0,esk2_0,esk3_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_28]),c_0_53])]) ).
cnf(c_0_57,plain,
( k7_waybel18(X1,X2,X3) = k3_pre_topc(X2,k1_yellow_2(X1,X2,X3))
| ~ l1_struct_0(X1)
| ~ l1_pre_topc(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)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_58,negated_conjecture,
( m1_subset_1(k4_pre_topc(esk1_0,esk2_0,esk3_0,X1),k1_zfmisc_1(u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0))))
| ~ l1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0))
| ~ l1_struct_0(esk1_0) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_43]),c_0_44]),c_0_21])]),c_0_56]) ).
fof(c_0_59,plain,
! [X58,X59,X60,X61] :
( ( ~ v1_t_0topsp(X60,X58,X59)
| ~ m1_subset_1(X61,k1_zfmisc_1(u1_struct_0(X58)))
| ~ v3_pre_topc(X61,X58)
| v3_pre_topc(k4_pre_topc(X58,X59,X60,X61),X59)
| ~ v1_funct_1(X60)
| ~ v1_funct_2(X60,u1_struct_0(X58),u1_struct_0(X59))
| ~ m2_relset_1(X60,u1_struct_0(X58),u1_struct_0(X59))
| ~ l1_pre_topc(X59)
| ~ l1_pre_topc(X58) )
& ( m1_subset_1(esk4_3(X58,X59,X60),k1_zfmisc_1(u1_struct_0(X58)))
| v1_t_0topsp(X60,X58,X59)
| ~ v1_funct_1(X60)
| ~ v1_funct_2(X60,u1_struct_0(X58),u1_struct_0(X59))
| ~ m2_relset_1(X60,u1_struct_0(X58),u1_struct_0(X59))
| ~ l1_pre_topc(X59)
| ~ l1_pre_topc(X58) )
& ( v3_pre_topc(esk4_3(X58,X59,X60),X58)
| v1_t_0topsp(X60,X58,X59)
| ~ v1_funct_1(X60)
| ~ v1_funct_2(X60,u1_struct_0(X58),u1_struct_0(X59))
| ~ m2_relset_1(X60,u1_struct_0(X58),u1_struct_0(X59))
| ~ l1_pre_topc(X59)
| ~ l1_pre_topc(X58) )
& ( ~ v3_pre_topc(k4_pre_topc(X58,X59,X60,esk4_3(X58,X59,X60)),X59)
| v1_t_0topsp(X60,X58,X59)
| ~ v1_funct_1(X60)
| ~ v1_funct_2(X60,u1_struct_0(X58),u1_struct_0(X59))
| ~ m2_relset_1(X60,u1_struct_0(X58),u1_struct_0(X59))
| ~ l1_pre_topc(X59)
| ~ l1_pre_topc(X58) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_t_0topsp])])])])]) ).
cnf(c_0_60,negated_conjecture,
( v2_waybel34(esk3_0,esk1_0,esk2_0)
| v1_t_0topsp(k8_waybel18(esk1_0,esk2_0,esk3_0),esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_61,plain,
! [X69,X70,X71,X72] :
( ( v3_pre_topc(k4_pre_topc(X69,X70,X71,X72),k3_pre_topc(X70,k1_yellow_2(X69,X70,X71)))
| ~ v3_pre_topc(X72,X69)
| ~ m1_subset_1(X72,k1_zfmisc_1(u1_struct_0(X69)))
| ~ v2_waybel34(X71,X69,X70)
| ~ v1_funct_1(X71)
| ~ v1_funct_2(X71,u1_struct_0(X69),u1_struct_0(X70))
| ~ m2_relset_1(X71,u1_struct_0(X69),u1_struct_0(X70))
| ~ v2_pre_topc(X70)
| ~ l1_pre_topc(X70)
| ~ v2_pre_topc(X69)
| ~ l1_pre_topc(X69) )
& ( m1_subset_1(k4_pre_topc(X69,X70,X71,X72),k1_zfmisc_1(u1_struct_0(k3_pre_topc(X70,k1_yellow_2(X69,X70,X71)))))
| ~ v3_pre_topc(X72,X69)
| ~ m1_subset_1(X72,k1_zfmisc_1(u1_struct_0(X69)))
| ~ v2_waybel34(X71,X69,X70)
| ~ v1_funct_1(X71)
| ~ v1_funct_2(X71,u1_struct_0(X69),u1_struct_0(X70))
| ~ m2_relset_1(X71,u1_struct_0(X69),u1_struct_0(X70))
| ~ v2_pre_topc(X70)
| ~ l1_pre_topc(X70)
| ~ v2_pre_topc(X69)
| ~ l1_pre_topc(X69) )
& ( v3_pre_topc(esk5_3(X69,X70,X71),X69)
| v2_waybel34(X71,X69,X70)
| ~ v1_funct_1(X71)
| ~ v1_funct_2(X71,u1_struct_0(X69),u1_struct_0(X70))
| ~ m2_relset_1(X71,u1_struct_0(X69),u1_struct_0(X70))
| ~ v2_pre_topc(X70)
| ~ l1_pre_topc(X70)
| ~ v2_pre_topc(X69)
| ~ l1_pre_topc(X69) )
& ( m1_subset_1(esk5_3(X69,X70,X71),k1_zfmisc_1(u1_struct_0(X69)))
| v2_waybel34(X71,X69,X70)
| ~ v1_funct_1(X71)
| ~ v1_funct_2(X71,u1_struct_0(X69),u1_struct_0(X70))
| ~ m2_relset_1(X71,u1_struct_0(X69),u1_struct_0(X70))
| ~ v2_pre_topc(X70)
| ~ l1_pre_topc(X70)
| ~ v2_pre_topc(X69)
| ~ l1_pre_topc(X69) )
& ( ~ v3_pre_topc(k4_pre_topc(X69,X70,X71,esk5_3(X69,X70,X71)),k3_pre_topc(X70,k1_yellow_2(X69,X70,X71)))
| ~ m1_subset_1(k4_pre_topc(X69,X70,X71,esk5_3(X69,X70,X71)),k1_zfmisc_1(u1_struct_0(k3_pre_topc(X70,k1_yellow_2(X69,X70,X71)))))
| v2_waybel34(X71,X69,X70)
| ~ v1_funct_1(X71)
| ~ v1_funct_2(X71,u1_struct_0(X69),u1_struct_0(X70))
| ~ m2_relset_1(X71,u1_struct_0(X69),u1_struct_0(X70))
| ~ v2_pre_topc(X70)
| ~ l1_pre_topc(X70)
| ~ v2_pre_topc(X69)
| ~ l1_pre_topc(X69) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_waybel34])])])])]) ).
cnf(c_0_62,negated_conjecture,
( k3_pre_topc(esk2_0,k1_yellow_2(esk1_0,esk2_0,esk3_0)) = k7_waybel18(esk1_0,esk2_0,esk3_0)
| ~ l1_struct_0(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_19]),c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_63,negated_conjecture,
( m1_subset_1(k4_pre_topc(esk1_0,esk2_0,esk3_0,X1),k1_zfmisc_1(u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0))))
| ~ l1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_28]),c_0_29])]) ).
cnf(c_0_64,plain,
( v3_pre_topc(k4_pre_topc(X2,X3,X1,X4),X3)
| ~ v1_t_0topsp(X1,X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v3_pre_topc(X4,X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ l1_pre_topc(X3)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_65,negated_conjecture,
( v1_t_0topsp(esk3_0,esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0))
| v2_waybel34(esk3_0,esk1_0,esk2_0) ),
inference(rw,[status(thm)],[c_0_60,c_0_33]) ).
cnf(c_0_66,plain,
( v3_pre_topc(esk5_3(X1,X2,X3),X1)
| v2_waybel34(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_pre_topc(X2)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_67,negated_conjecture,
v2_pre_topc(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_68,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_69,plain,
( m1_subset_1(esk5_3(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| v2_waybel34(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_pre_topc(X2)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_70,plain,
( v2_waybel34(X3,X1,X2)
| ~ v3_pre_topc(k4_pre_topc(X1,X2,X3,esk5_3(X1,X2,X3)),k3_pre_topc(X2,k1_yellow_2(X1,X2,X3)))
| ~ m1_subset_1(k4_pre_topc(X1,X2,X3,esk5_3(X1,X2,X3)),k1_zfmisc_1(u1_struct_0(k3_pre_topc(X2,k1_yellow_2(X1,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))
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_71,negated_conjecture,
k3_pre_topc(esk2_0,k1_yellow_2(esk1_0,esk2_0,esk3_0)) = k7_waybel18(esk1_0,esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_28]),c_0_29])]) ).
cnf(c_0_72,negated_conjecture,
m1_subset_1(k4_pre_topc(esk1_0,esk2_0,esk3_0,X1),k1_zfmisc_1(u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_28]),c_0_53])]) ).
cnf(c_0_73,negated_conjecture,
( ~ v2_waybel34(esk3_0,esk1_0,esk2_0)
| ~ v1_t_0topsp(k8_waybel18(esk1_0,esk2_0,esk3_0),esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_74,negated_conjecture,
( v3_pre_topc(k4_pre_topc(esk1_0,esk2_0,esk3_0,X1),k7_waybel18(esk1_0,esk2_0,esk3_0))
| v2_waybel34(esk3_0,esk1_0,esk2_0)
| ~ v3_pre_topc(X1,esk1_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_39]),c_0_44]),c_0_21]),c_0_53]),c_0_29])]),c_0_56]) ).
cnf(c_0_75,negated_conjecture,
( v3_pre_topc(esk5_3(esk1_0,esk2_0,esk3_0),esk1_0)
| v2_waybel34(esk3_0,esk1_0,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(spm,[status(thm)],[c_0_66,c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_29]),c_0_67]),c_0_68])]) ).
cnf(c_0_76,negated_conjecture,
( m1_subset_1(esk5_3(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| v2_waybel34(esk3_0,esk1_0,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(spm,[status(thm)],[c_0_69,c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_29]),c_0_67]),c_0_68])]) ).
cnf(c_0_77,negated_conjecture,
( v2_waybel34(esk3_0,esk1_0,esk2_0)
| ~ v3_pre_topc(k4_pre_topc(esk1_0,esk2_0,esk3_0,esk5_3(esk1_0,esk2_0,esk3_0)),k7_waybel18(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_19]),c_0_71]),c_0_71]),c_0_20]),c_0_21]),c_0_22]),c_0_29]),c_0_67]),c_0_68])]),c_0_72])]) ).
cnf(c_0_78,plain,
( v3_pre_topc(esk4_3(X1,X2,X3),X1)
| v1_t_0topsp(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))
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_79,negated_conjecture,
( ~ v1_t_0topsp(esk3_0,esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0))
| ~ v2_waybel34(esk3_0,esk1_0,esk2_0) ),
inference(rw,[status(thm)],[c_0_73,c_0_33]) ).
cnf(c_0_80,negated_conjecture,
v2_waybel34(esk3_0,esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_77]) ).
cnf(c_0_81,plain,
( m1_subset_1(esk4_3(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| v1_t_0topsp(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))
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_82,plain,
( v1_t_0topsp(X3,X1,X2)
| ~ v3_pre_topc(k4_pre_topc(X1,X2,X3,esk4_3(X1,X2,X3)),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))
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_83,plain,
( v3_pre_topc(k4_pre_topc(X1,X2,X3,X4),k3_pre_topc(X2,k1_yellow_2(X1,X2,X3)))
| ~ v3_pre_topc(X4,X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_waybel34(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_pre_topc(X2)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_84,negated_conjecture,
( v3_pre_topc(esk4_3(esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0),esk3_0),esk1_0)
| v1_t_0topsp(esk3_0,esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_39]),c_0_44]),c_0_21]),c_0_53]),c_0_29])]) ).
cnf(c_0_85,negated_conjecture,
~ v1_t_0topsp(esk3_0,esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80])]) ).
cnf(c_0_86,negated_conjecture,
( m1_subset_1(esk4_3(esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0),esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| v1_t_0topsp(esk3_0,esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_39]),c_0_44]),c_0_21]),c_0_53]),c_0_29])]) ).
cnf(c_0_87,negated_conjecture,
( v1_t_0topsp(esk3_0,esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0))
| ~ v3_pre_topc(k4_pre_topc(esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0),esk3_0,esk4_3(esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0),esk3_0)),k7_waybel18(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_39]),c_0_44]),c_0_21]),c_0_53]),c_0_29])]) ).
cnf(c_0_88,negated_conjecture,
( v3_pre_topc(k4_pre_topc(esk1_0,esk2_0,esk3_0,X1),k7_waybel18(esk1_0,esk2_0,esk3_0))
| ~ v3_pre_topc(X1,esk1_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(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(spm,[status(thm)],[c_0_83,c_0_80]),c_0_71]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_29]),c_0_67]),c_0_68])]) ).
cnf(c_0_89,negated_conjecture,
v3_pre_topc(esk4_3(esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0),esk3_0),esk1_0),
inference(sr,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_90,negated_conjecture,
m1_subset_1(esk4_3(esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0),esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[c_0_86,c_0_85]) ).
cnf(c_0_91,negated_conjecture,
( v1_t_0topsp(esk3_0,esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0))
| ~ v3_pre_topc(k4_pre_topc(esk1_0,esk2_0,esk3_0,esk4_3(esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0),esk3_0)),k7_waybel18(esk1_0,esk2_0,esk3_0)) ),
inference(rw,[status(thm)],[c_0_87,c_0_56]) ).
cnf(c_0_92,negated_conjecture,
v3_pre_topc(k4_pre_topc(esk1_0,esk2_0,esk3_0,esk4_3(esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0),esk3_0)),k7_waybel18(esk1_0,esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90])]) ).
cnf(c_0_93,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92])]),c_0_85]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT363+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 07:04:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 2.76/2.89 % Version : CSE_E---1.5
% 2.76/2.89 % Problem : theBenchmark.p
% 2.76/2.89 % Proof found
% 2.76/2.89 % SZS status Theorem for theBenchmark.p
% 2.76/2.89 % SZS output start Proof
% See solution above
% 2.76/2.91 % Total time : 2.315000 s
% 2.76/2.91 % SZS output end Proof
% 2.76/2.91 % Total time : 2.321000 s
%------------------------------------------------------------------------------