TSTP Solution File: ALG214+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ALG214+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 : n025.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 : Wed Aug 30 16:06:40 EDT 2023
% Result : Theorem 0.89s 1.02s
% Output : CNFRefutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 80
% Syntax : Number of formulae : 117 ( 23 unt; 77 typ; 0 def)
% Number of atoms : 432 ( 12 equ)
% Maximal formula atoms : 82 ( 10 avg)
% Number of connectives : 624 ( 232 ~; 242 |; 116 &)
% ( 2 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 111 ( 61 >; 50 *; 0 +; 0 <<)
% Number of predicates : 36 ( 34 usr; 1 prp; 0-4 aty)
% Number of functors : 43 ( 43 usr; 16 con; 0-4 aty)
% Number of variables : 62 ( 0 sgn; 35 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v3_struct_0: $i > $o ).
tff(decl_23,type,
v3_rlvect_1: $i > $o ).
tff(decl_24,type,
v4_rlvect_1: $i > $o ).
tff(decl_25,type,
v5_rlvect_1: $i > $o ).
tff(decl_26,type,
v6_rlvect_1: $i > $o ).
tff(decl_27,type,
v4_group_1: $i > $o ).
tff(decl_28,type,
v6_vectsp_1: $i > $o ).
tff(decl_29,type,
v7_vectsp_1: $i > $o ).
tff(decl_30,type,
v8_vectsp_1: $i > $o ).
tff(decl_31,type,
l3_vectsp_1: $i > $o ).
tff(decl_32,type,
v5_vectsp_2: ( $i * $i ) > $o ).
tff(decl_33,type,
l1_vectsp_2: ( $i * $i ) > $o ).
tff(decl_34,type,
u1_struct_0: $i > $i ).
tff(decl_35,type,
k1_zfmisc_1: $i > $i ).
tff(decl_36,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_37,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_38,type,
v1_rmod_5: ( $i * $i * $i ) > $o ).
tff(decl_39,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_40,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_41,type,
v1_relat_1: $i > $o ).
tff(decl_42,type,
m2_rmod_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_43,type,
k5_rmod_4: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
k1_rlvect_1: $i > $i ).
tff(decl_45,type,
k2_rmod_4: ( $i * $i * $i ) > $i ).
tff(decl_46,type,
k1_xboole_0: $i ).
tff(decl_47,type,
m1_rmod_4: ( $i * $i * $i ) > $o ).
tff(decl_48,type,
a_3_0_rmod_4: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
v1_xboole_0: $i > $o ).
tff(decl_50,type,
k1_fraenkel: ( $i * $i ) > $i ).
tff(decl_51,type,
m1_fraenkel: ( $i * $i * $i ) > $o ).
tff(decl_52,type,
l2_struct_0: $i > $o ).
tff(decl_53,type,
v1_finset_1: $i > $o ).
tff(decl_54,type,
v1_funct_1: $i > $o ).
tff(decl_55,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_56,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_57,type,
k8_funct_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_58,type,
l1_group_1: $i > $o ).
tff(decl_59,type,
l1_struct_0: $i > $o ).
tff(decl_60,type,
l1_rlvect_1: $i > $o ).
tff(decl_61,type,
l1_vectsp_1: $i > $o ).
tff(decl_62,type,
l2_vectsp_1: $i > $o ).
tff(decl_63,type,
v1_fraenkel: $i > $o ).
tff(decl_64,type,
m2_fraenkel: ( $i * $i * $i * $i ) > $o ).
tff(decl_65,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_66,type,
k1_funct_2: ( $i * $i ) > $i ).
tff(decl_67,type,
k1_funct_1: ( $i * $i ) > $i ).
tff(decl_68,type,
esk1_0: $i ).
tff(decl_69,type,
esk2_0: $i ).
tff(decl_70,type,
esk3_0: $i ).
tff(decl_71,type,
esk4_0: $i ).
tff(decl_72,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk6_0: $i ).
tff(decl_74,type,
esk7_0: $i ).
tff(decl_75,type,
esk8_0: $i ).
tff(decl_76,type,
esk9_0: $i ).
tff(decl_77,type,
esk10_1: $i > $i ).
tff(decl_78,type,
esk11_0: $i ).
tff(decl_79,type,
esk12_0: $i ).
tff(decl_80,type,
esk13_0: $i ).
tff(decl_81,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_82,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_83,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_84,type,
esk17_1: $i > $i ).
tff(decl_85,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_87,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_88,type,
esk21_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk22_1: $i > $i ).
tff(decl_90,type,
esk23_0: $i ).
tff(decl_91,type,
esk24_1: $i > $i ).
tff(decl_92,type,
esk25_1: $i > $i ).
tff(decl_93,type,
esk26_0: $i ).
tff(decl_94,type,
esk27_0: $i ).
tff(decl_95,type,
esk28_0: $i ).
tff(decl_96,type,
esk29_1: $i > $i ).
tff(decl_97,type,
esk30_1: $i > $i ).
tff(decl_98,type,
esk31_2: ( $i * $i ) > $i ).
fof(t25_rmod_4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X5] :
( m2_rmod_4(X5,X1,X2,X3)
=> ( r1_tarski(X3,X4)
=> m2_rmod_4(X5,X1,X2,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_rmod_4) ).
fof(d1_rmod_5,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ( v1_rmod_5(X3,X1,X2)
<=> ! [X4] :
( m2_rmod_4(X4,X1,X2,X3)
=> ( k5_rmod_4(X1,X2,X4) = k1_rlvect_1(X2)
=> k2_rmod_4(X1,X2,X4) = k1_xboole_0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_rmod_5) ).
fof(t2_rmod_5,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ( ( r1_tarski(X3,X4)
& v1_rmod_5(X4,X1,X2) )
=> v1_rmod_5(X3,X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_rmod_5) ).
fof(c_0_3,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X5] :
( m2_rmod_4(X5,X1,X2,X3)
=> ( r1_tarski(X3,X4)
=> m2_rmod_4(X5,X1,X2,X4) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t25_rmod_4]) ).
fof(c_0_4,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ( v1_rmod_5(X3,X1,X2)
<=> ! [X4] :
( m2_rmod_4(X4,X1,X2,X3)
=> ( k5_rmod_4(X1,X2,X4) = k1_rlvect_1(X2)
=> k2_rmod_4(X1,X2,X4) = k1_xboole_0 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d1_rmod_5]) ).
fof(c_0_5,plain,
! [X132,X133,X134,X135,X136] :
( v3_struct_0(X132)
| ~ v3_rlvect_1(X132)
| ~ v4_rlvect_1(X132)
| ~ v5_rlvect_1(X132)
| ~ v6_rlvect_1(X132)
| ~ v4_group_1(X132)
| ~ v6_vectsp_1(X132)
| ~ v7_vectsp_1(X132)
| ~ v8_vectsp_1(X132)
| ~ l3_vectsp_1(X132)
| v3_struct_0(X133)
| ~ v3_rlvect_1(X133)
| ~ v4_rlvect_1(X133)
| ~ v5_rlvect_1(X133)
| ~ v6_rlvect_1(X133)
| ~ v5_vectsp_2(X133,X132)
| ~ l1_vectsp_2(X133,X132)
| ~ m1_subset_1(X134,k1_zfmisc_1(u1_struct_0(X133)))
| ~ m1_subset_1(X135,k1_zfmisc_1(u1_struct_0(X133)))
| ~ m2_rmod_4(X136,X132,X133,X134)
| ~ r1_tarski(X134,X135)
| m2_rmod_4(X136,X132,X133,X135) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_6,plain,
! [X15,X16,X17,X18] :
( ( ~ v1_rmod_5(X17,X15,X16)
| ~ m2_rmod_4(X18,X15,X16,X17)
| k5_rmod_4(X15,X16,X18) != k1_rlvect_1(X16)
| k2_rmod_4(X15,X16,X18) = k1_xboole_0
| ~ m1_subset_1(X17,k1_zfmisc_1(u1_struct_0(X16)))
| v3_struct_0(X16)
| ~ v3_rlvect_1(X16)
| ~ v4_rlvect_1(X16)
| ~ v5_rlvect_1(X16)
| ~ v6_rlvect_1(X16)
| ~ v5_vectsp_2(X16,X15)
| ~ l1_vectsp_2(X16,X15)
| v3_struct_0(X15)
| ~ v3_rlvect_1(X15)
| ~ v4_rlvect_1(X15)
| ~ v5_rlvect_1(X15)
| ~ v6_rlvect_1(X15)
| ~ v4_group_1(X15)
| ~ v6_vectsp_1(X15)
| ~ v7_vectsp_1(X15)
| ~ v8_vectsp_1(X15)
| ~ l3_vectsp_1(X15) )
& ( m2_rmod_4(esk5_3(X15,X16,X17),X15,X16,X17)
| v1_rmod_5(X17,X15,X16)
| ~ m1_subset_1(X17,k1_zfmisc_1(u1_struct_0(X16)))
| v3_struct_0(X16)
| ~ v3_rlvect_1(X16)
| ~ v4_rlvect_1(X16)
| ~ v5_rlvect_1(X16)
| ~ v6_rlvect_1(X16)
| ~ v5_vectsp_2(X16,X15)
| ~ l1_vectsp_2(X16,X15)
| v3_struct_0(X15)
| ~ v3_rlvect_1(X15)
| ~ v4_rlvect_1(X15)
| ~ v5_rlvect_1(X15)
| ~ v6_rlvect_1(X15)
| ~ v4_group_1(X15)
| ~ v6_vectsp_1(X15)
| ~ v7_vectsp_1(X15)
| ~ v8_vectsp_1(X15)
| ~ l3_vectsp_1(X15) )
& ( k5_rmod_4(X15,X16,esk5_3(X15,X16,X17)) = k1_rlvect_1(X16)
| v1_rmod_5(X17,X15,X16)
| ~ m1_subset_1(X17,k1_zfmisc_1(u1_struct_0(X16)))
| v3_struct_0(X16)
| ~ v3_rlvect_1(X16)
| ~ v4_rlvect_1(X16)
| ~ v5_rlvect_1(X16)
| ~ v6_rlvect_1(X16)
| ~ v5_vectsp_2(X16,X15)
| ~ l1_vectsp_2(X16,X15)
| v3_struct_0(X15)
| ~ v3_rlvect_1(X15)
| ~ v4_rlvect_1(X15)
| ~ v5_rlvect_1(X15)
| ~ v6_rlvect_1(X15)
| ~ v4_group_1(X15)
| ~ v6_vectsp_1(X15)
| ~ v7_vectsp_1(X15)
| ~ v8_vectsp_1(X15)
| ~ l3_vectsp_1(X15) )
& ( k2_rmod_4(X15,X16,esk5_3(X15,X16,X17)) != k1_xboole_0
| v1_rmod_5(X17,X15,X16)
| ~ m1_subset_1(X17,k1_zfmisc_1(u1_struct_0(X16)))
| v3_struct_0(X16)
| ~ v3_rlvect_1(X16)
| ~ v4_rlvect_1(X16)
| ~ v5_rlvect_1(X16)
| ~ v6_rlvect_1(X16)
| ~ v5_vectsp_2(X16,X15)
| ~ l1_vectsp_2(X16,X15)
| v3_struct_0(X15)
| ~ v3_rlvect_1(X15)
| ~ v4_rlvect_1(X15)
| ~ v5_rlvect_1(X15)
| ~ v6_rlvect_1(X15)
| ~ v4_group_1(X15)
| ~ v6_vectsp_1(X15)
| ~ v7_vectsp_1(X15)
| ~ v8_vectsp_1(X15)
| ~ l3_vectsp_1(X15) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).
cnf(c_0_7,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m2_rmod_4(X5,X1,X2,X4)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m2_rmod_4(X5,X1,X2,X3)
| ~ r1_tarski(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( m2_rmod_4(esk5_3(X1,X2,X3),X1,X2,X3)
| v1_rmod_5(X3,X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ( ( r1_tarski(X3,X4)
& v1_rmod_5(X4,X1,X2) )
=> v1_rmod_5(X3,X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t2_rmod_5])]) ).
cnf(c_0_10,plain,
( k2_rmod_4(X2,X3,X4) = k1_xboole_0
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ v1_rmod_5(X1,X2,X3)
| ~ m2_rmod_4(X4,X2,X3,X1)
| k5_rmod_4(X2,X3,X4) != k1_rlvect_1(X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_vectsp_2(X3,X2)
| ~ l1_vectsp_2(X3,X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ l3_vectsp_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( m2_rmod_4(esk5_3(X1,X2,X3),X1,X2,X4)
| v1_rmod_5(X3,X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ r1_tarski(X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
( k5_rmod_4(X1,X2,esk5_3(X1,X2,X3)) = k1_rlvect_1(X2)
| v1_rmod_5(X3,X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,plain,
( v1_rmod_5(X3,X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| k2_rmod_4(X1,X2,esk5_3(X1,X2,X3)) != k1_xboole_0
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_14,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v3_rlvect_1(esk1_0)
& v4_rlvect_1(esk1_0)
& v5_rlvect_1(esk1_0)
& v6_rlvect_1(esk1_0)
& v4_group_1(esk1_0)
& v6_vectsp_1(esk1_0)
& v7_vectsp_1(esk1_0)
& v8_vectsp_1(esk1_0)
& l3_vectsp_1(esk1_0)
& ~ v3_struct_0(esk2_0)
& v3_rlvect_1(esk2_0)
& v4_rlvect_1(esk2_0)
& v5_rlvect_1(esk2_0)
& v6_rlvect_1(esk2_0)
& v5_vectsp_2(esk2_0,esk1_0)
& l1_vectsp_2(esk2_0,esk1_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0)))
& m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0)))
& r1_tarski(esk3_0,esk4_0)
& v1_rmod_5(esk4_0,esk1_0,esk2_0)
& ~ v1_rmod_5(esk3_0,esk1_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
cnf(c_0_15,plain,
( v1_rmod_5(X1,X2,X3)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ v1_rmod_5(X4,X2,X3)
| ~ r1_tarski(X1,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X3)
| ~ v3_rlvect_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13]) ).
cnf(c_0_16,negated_conjecture,
v1_rmod_5(esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
l3_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,negated_conjecture,
v8_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
v7_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,negated_conjecture,
v6_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_25,negated_conjecture,
v6_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_26,negated_conjecture,
v6_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_27,negated_conjecture,
v5_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_28,negated_conjecture,
v5_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_29,negated_conjecture,
v4_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_30,negated_conjecture,
v4_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_31,negated_conjecture,
v3_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_32,negated_conjecture,
v3_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_33,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_34,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_35,negated_conjecture,
( v1_rmod_5(X1,esk1_0,esk2_0)
| ~ r1_tarski(X1,esk4_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk2_0))) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32])]),c_0_33]),c_0_34]) ).
cnf(c_0_36,negated_conjecture,
r1_tarski(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_37,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_38,negated_conjecture,
~ v1_rmod_5(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_39,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]),c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG214+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n025.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 : Mon Aug 28 04:16:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.58 start to proof: theBenchmark
% 0.89/1.01 % Version : CSE_E---1.5
% 0.89/1.01 % Problem : theBenchmark.p
% 0.89/1.02 % Proof found
% 0.89/1.02 % SZS status Theorem for theBenchmark.p
% 0.89/1.02 % SZS output start Proof
% See solution above
% 0.89/1.03 % Total time : 0.423000 s
% 0.89/1.03 % SZS output end Proof
% 0.89/1.03 % Total time : 0.426000 s
%------------------------------------------------------------------------------