TSTP Solution File: GRP637+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP637+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 : n010.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 00:22:12 EDT 2023
% Result : Theorem 0.21s 0.71s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 58
% Syntax : Number of formulae : 123 ( 30 unt; 48 typ; 0 def)
% Number of atoms : 333 ( 19 equ)
% Maximal formula atoms : 25 ( 4 avg)
% Number of connectives : 397 ( 139 ~; 133 |; 81 &)
% ( 5 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 62 ( 35 >; 27 *; 0 +; 0 <<)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 13 con; 0-4 aty)
% Number of variables : 129 ( 2 sgn; 76 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v3_struct_0: $i > $o ).
tff(decl_23,type,
v3_group_1: $i > $o ).
tff(decl_24,type,
v4_group_1: $i > $o ).
tff(decl_25,type,
l1_group_1: $i > $o ).
tff(decl_26,type,
v1_funct_1: $i > $o ).
tff(decl_27,type,
u1_struct_0: $i > $i ).
tff(decl_28,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_29,type,
v1_group_6: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_31,type,
m1_group_2: ( $i * $i ) > $o ).
tff(decl_32,type,
k2_funct_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_33,type,
m1_group_6: ( $i * $i * $i ) > $o ).
tff(decl_34,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_35,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_36,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_37,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_38,type,
k1_zfmisc_1: $i > $i ).
tff(decl_39,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_40,type,
v1_relat_1: $i > $o ).
tff(decl_41,type,
v1_xboole_0: $i > $o ).
tff(decl_42,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_43,type,
u1_group_1: $i > $i ).
tff(decl_44,type,
k1_realset1: ( $i * $i ) > $i ).
tff(decl_45,type,
l1_struct_0: $i > $o ).
tff(decl_46,type,
k1_xboole_0: $i ).
tff(decl_47,type,
k9_relat_1: ( $i * $i ) > $i ).
tff(decl_48,type,
esk1_0: $i ).
tff(decl_49,type,
esk2_0: $i ).
tff(decl_50,type,
esk3_0: $i ).
tff(decl_51,type,
esk4_0: $i ).
tff(decl_52,type,
esk5_0: $i ).
tff(decl_53,type,
esk6_0: $i ).
tff(decl_54,type,
esk7_0: $i ).
tff(decl_55,type,
esk8_0: $i ).
tff(decl_56,type,
esk9_0: $i ).
tff(decl_57,type,
esk10_1: $i > $i ).
tff(decl_58,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk13_1: $i > $i ).
tff(decl_61,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk16_1: $i > $i ).
tff(decl_64,type,
esk17_0: $i ).
tff(decl_65,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk19_1: $i > $i ).
tff(decl_67,type,
esk20_0: $i ).
tff(decl_68,type,
esk21_0: $i ).
tff(decl_69,type,
esk22_1: $i > $i ).
fof(t10_latsubgr,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X4] :
( m1_group_2(X4,X1)
=> ! [X5] :
( m1_group_2(X5,X1)
=> ! [X6] :
( m1_group_2(X6,X2)
=> ! [X7] :
( m1_group_2(X7,X2)
=> ( ( u1_struct_0(X6) = k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(X4))
& u1_struct_0(X7) = k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(X5))
& m1_group_6(X4,X1,X5) )
=> m1_group_6(X6,X2,X7) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_latsubgr) ).
fof(redefinition_k2_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2) )
=> k2_funct_2(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_funct_2) ).
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_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(d5_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) )
=> ( m1_group_2(X2,X1)
<=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
& u1_group_1(X2) = k1_realset1(u1_group_1(X1),u1_struct_0(X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_group_2) ).
fof(dt_m1_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(redefinition_m1_group_6,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_group_6(X3,X1,X2)
<=> m1_group_2(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_group_6) ).
fof(t156_relat_1,axiom,
! [X1,X2,X3] :
( v1_relat_1(X3)
=> ( r1_tarski(X1,X2)
=> r1_tarski(k9_relat_1(X3,X1),k9_relat_1(X3,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t156_relat_1) ).
fof(cc1_relset_1,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> v1_relat_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(t66_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_group_2(X3,X1)
=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X3))
=> m1_group_2(X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t66_group_2) ).
fof(c_0_10,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X4] :
( m1_group_2(X4,X1)
=> ! [X5] :
( m1_group_2(X5,X1)
=> ! [X6] :
( m1_group_2(X6,X2)
=> ! [X7] :
( m1_group_2(X7,X2)
=> ( ( u1_struct_0(X6) = k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(X4))
& u1_struct_0(X7) = k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(X5))
& m1_group_6(X4,X1,X5) )
=> m1_group_6(X6,X2,X7) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t10_latsubgr])]) ).
fof(c_0_11,plain,
! [X79,X80,X81,X82] :
( ~ v1_funct_1(X81)
| ~ v1_funct_2(X81,X79,X80)
| ~ m1_relset_1(X81,X79,X80)
| k2_funct_2(X79,X80,X81,X82) = k9_relat_1(X81,X82) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_funct_2])]) ).
fof(c_0_12,plain,
! [X86,X87,X88] :
( ( ~ m2_relset_1(X88,X86,X87)
| m1_relset_1(X88,X86,X87) )
& ( ~ m1_relset_1(X88,X86,X87)
| m2_relset_1(X88,X86,X87) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_13,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& ~ v3_struct_0(esk2_0)
& v3_group_1(esk2_0)
& v4_group_1(esk2_0)
& l1_group_1(esk2_0)
& v1_funct_1(esk3_0)
& v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v1_group_6(esk3_0,esk1_0,esk2_0)
& m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& m1_group_2(esk4_0,esk1_0)
& m1_group_2(esk5_0,esk1_0)
& m1_group_2(esk6_0,esk2_0)
& m1_group_2(esk7_0,esk2_0)
& u1_struct_0(esk6_0) = k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(esk4_0))
& u1_struct_0(esk7_0) = k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(esk5_0))
& m1_group_6(esk4_0,esk1_0,esk5_0)
& ~ m1_group_6(esk6_0,esk2_0,esk7_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_14,plain,
! [X41,X42,X43] :
( ~ m2_relset_1(X43,X41,X42)
| m1_subset_1(X43,k1_zfmisc_1(k2_zfmisc_1(X41,X42))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
cnf(c_0_15,plain,
( k2_funct_2(X2,X3,X1,X4) = k9_relat_1(X1,X4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_18,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) )
=> ( m1_group_2(X2,X1)
<=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
& u1_group_1(X2) = k1_realset1(u1_group_1(X1),u1_struct_0(X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[d5_group_2]) ).
fof(c_0_19,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_group_2]) ).
fof(c_0_20,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_group_6(X3,X1,X2)
<=> m1_group_2(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m1_group_6]) ).
fof(c_0_21,plain,
! [X90,X91,X92] :
( ~ v1_relat_1(X92)
| ~ r1_tarski(X90,X91)
| r1_tarski(k9_relat_1(X92,X90),k9_relat_1(X92,X91)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t156_relat_1])]) ).
fof(c_0_22,plain,
! [X20,X21,X22] :
( ~ m1_subset_1(X22,k1_zfmisc_1(k2_zfmisc_1(X20,X21)))
| v1_relat_1(X22) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
cnf(c_0_23,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,negated_conjecture,
u1_struct_0(esk6_0) = k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(esk4_0)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_25,plain,
( k2_funct_2(X1,X2,X3,X4) = k2_funct_2(X5,X6,X3,X4)
| ~ m1_relset_1(X3,X1,X2)
| ~ m1_relset_1(X3,X5,X6)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X3,X5,X6)
| ~ v1_funct_1(X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_15]) ).
cnf(c_0_26,negated_conjecture,
m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_27,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_28,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_29,plain,
! [X29,X30] :
( ( r1_tarski(u1_struct_0(X30),u1_struct_0(X29))
| ~ m1_group_2(X30,X29)
| v3_struct_0(X30)
| ~ v3_group_1(X30)
| ~ l1_group_1(X30)
| v3_struct_0(X29)
| ~ v3_group_1(X29)
| ~ l1_group_1(X29) )
& ( u1_group_1(X30) = k1_realset1(u1_group_1(X29),u1_struct_0(X30))
| ~ m1_group_2(X30,X29)
| v3_struct_0(X30)
| ~ v3_group_1(X30)
| ~ l1_group_1(X30)
| v3_struct_0(X29)
| ~ v3_group_1(X29)
| ~ l1_group_1(X29) )
& ( ~ r1_tarski(u1_struct_0(X30),u1_struct_0(X29))
| u1_group_1(X30) != k1_realset1(u1_group_1(X29),u1_struct_0(X30))
| m1_group_2(X30,X29)
| v3_struct_0(X30)
| ~ v3_group_1(X30)
| ~ l1_group_1(X30)
| v3_struct_0(X29)
| ~ v3_group_1(X29)
| ~ l1_group_1(X29) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
fof(c_0_30,plain,
! [X36,X37] :
( ( ~ v3_struct_0(X37)
| ~ m1_group_2(X37,X36)
| v3_struct_0(X36)
| ~ v3_group_1(X36)
| ~ l1_group_1(X36) )
& ( v3_group_1(X37)
| ~ m1_group_2(X37,X36)
| v3_struct_0(X36)
| ~ v3_group_1(X36)
| ~ l1_group_1(X36) )
& ( l1_group_1(X37)
| ~ m1_group_2(X37,X36)
| v3_struct_0(X36)
| ~ v3_group_1(X36)
| ~ l1_group_1(X36) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
fof(c_0_31,plain,
! [X83,X84,X85] :
( ( ~ m1_group_6(X85,X83,X84)
| m1_group_2(X85,X84)
| v3_struct_0(X83)
| ~ v3_group_1(X83)
| ~ v4_group_1(X83)
| ~ l1_group_1(X83)
| ~ m1_group_2(X84,X83) )
& ( ~ m1_group_2(X85,X84)
| m1_group_6(X85,X83,X84)
| v3_struct_0(X83)
| ~ v3_group_1(X83)
| ~ v4_group_1(X83)
| ~ l1_group_1(X83)
| ~ m1_group_2(X84,X83) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).
cnf(c_0_32,plain,
( r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X1,X3))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_33,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0)))),
inference(spm,[status(thm)],[c_0_23,c_0_17]) ).
cnf(c_0_35,negated_conjecture,
( k2_funct_2(X1,X2,esk3_0,u1_struct_0(esk4_0)) = u1_struct_0(esk6_0)
| ~ m1_relset_1(esk3_0,X1,X2)
| ~ v1_funct_2(esk3_0,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27]),c_0_28])]) ).
cnf(c_0_36,plain,
( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,plain,
( v3_group_1(X1)
| v3_struct_0(X2)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,plain,
( l1_group_1(X1)
| v3_struct_0(X2)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,plain,
( v3_struct_0(X2)
| ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_40,plain,
( m1_group_2(X1,X3)
| v3_struct_0(X2)
| ~ m1_group_6(X1,X2,X3)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ m1_group_2(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,negated_conjecture,
m1_group_6(esk4_0,esk1_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_42,negated_conjecture,
m1_group_2(esk5_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_43,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_44,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_45,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_46,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_47,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_group_2(X3,X1)
=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X3))
=> m1_group_2(X2,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[t66_group_2]) ).
cnf(c_0_48,plain,
( r1_tarski(k9_relat_1(X1,X2),k2_funct_2(X3,X4,X1,X5))
| ~ r1_tarski(X2,X5)
| ~ v1_relat_1(X1)
| ~ m1_relset_1(X1,X3,X4)
| ~ v1_funct_2(X1,X3,X4)
| ~ v1_funct_1(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_15]) ).
cnf(c_0_49,negated_conjecture,
u1_struct_0(esk7_0) = k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(esk5_0)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_50,negated_conjecture,
v1_relat_1(esk3_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_51,negated_conjecture,
( k9_relat_1(esk3_0,u1_struct_0(esk4_0)) = u1_struct_0(esk6_0)
| ~ m1_relset_1(esk3_0,X1,X2)
| ~ v1_funct_2(esk3_0,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_35]),c_0_28])]) ).
cnf(c_0_52,plain,
( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ m1_group_2(X1,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39]) ).
cnf(c_0_53,negated_conjecture,
m1_group_2(esk4_0,esk5_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_40,c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_54,negated_conjecture,
l1_group_1(esk5_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_42]),c_0_43]),c_0_45])]),c_0_46]) ).
cnf(c_0_55,negated_conjecture,
v3_group_1(esk5_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_42]),c_0_43]),c_0_45])]),c_0_46]) ).
cnf(c_0_56,negated_conjecture,
~ v3_struct_0(esk5_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_42]),c_0_43]),c_0_45])]),c_0_46]) ).
cnf(c_0_57,plain,
( m1_group_6(X1,X3,X2)
| v3_struct_0(X3)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ m1_group_2(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_58,negated_conjecture,
m1_group_2(esk7_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_59,negated_conjecture,
l1_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_60,negated_conjecture,
v4_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_61,negated_conjecture,
v3_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_62,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_63,plain,
! [X105,X106,X107] :
( v3_struct_0(X105)
| ~ v3_group_1(X105)
| ~ v4_group_1(X105)
| ~ l1_group_1(X105)
| ~ m1_group_2(X106,X105)
| ~ m1_group_2(X107,X105)
| ~ r1_tarski(u1_struct_0(X106),u1_struct_0(X107))
| m1_group_2(X106,X107) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])]) ).
cnf(c_0_64,negated_conjecture,
( r1_tarski(k9_relat_1(esk3_0,X1),u1_struct_0(esk7_0))
| ~ r1_tarski(X1,u1_struct_0(esk5_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_48,c_0_49]),c_0_50]),c_0_26]),c_0_27]),c_0_28])]) ).
cnf(c_0_65,negated_conjecture,
k9_relat_1(esk3_0,u1_struct_0(esk4_0)) = u1_struct_0(esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_26]),c_0_27])]) ).
cnf(c_0_66,negated_conjecture,
r1_tarski(u1_struct_0(esk4_0),u1_struct_0(esk5_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_55])]),c_0_56]) ).
cnf(c_0_67,negated_conjecture,
~ m1_group_6(esk6_0,esk2_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_68,negated_conjecture,
( m1_group_6(X1,esk2_0,esk7_0)
| ~ m1_group_2(X1,esk7_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_57,c_0_58]),c_0_59]),c_0_60]),c_0_61])]),c_0_62]) ).
cnf(c_0_69,plain,
( v3_struct_0(X1)
| m1_group_2(X2,X3)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ m1_group_2(X3,X1)
| ~ r1_tarski(u1_struct_0(X2),u1_struct_0(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_70,negated_conjecture,
r1_tarski(u1_struct_0(esk6_0),u1_struct_0(esk7_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66])]) ).
cnf(c_0_71,negated_conjecture,
~ m1_group_2(esk6_0,esk7_0),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_72,negated_conjecture,
( v3_struct_0(X1)
| ~ m1_group_2(esk7_0,X1)
| ~ m1_group_2(esk6_0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
cnf(c_0_73,negated_conjecture,
m1_group_2(esk6_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_74,negated_conjecture,
$false,
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_72,c_0_60]),c_0_58]),c_0_73]),c_0_59]),c_0_61])]),c_0_62]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP637+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
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 19:46:04 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 0.21/0.71 % Version : CSE_E---1.5
% 0.21/0.71 % Problem : theBenchmark.p
% 0.21/0.71 % Proof found
% 0.21/0.71 % SZS status Theorem for theBenchmark.p
% 0.21/0.71 % SZS output start Proof
% See solution above
% 0.21/0.72 % Total time : 0.115000 s
% 0.21/0.72 % SZS output end Proof
% 0.21/0.72 % Total time : 0.118000 s
%------------------------------------------------------------------------------