TSTP Solution File: GRP639+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP639+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 : n027.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 00:22:15 EDT 2023
% Result : Theorem 0.19s 0.66s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 53
% Syntax : Number of formulae : 90 ( 16 unt; 45 typ; 0 def)
% Number of atoms : 238 ( 13 equ)
% Maximal formula atoms : 61 ( 5 avg)
% Number of connectives : 299 ( 106 ~; 106 |; 59 &)
% ( 3 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 60 ( 35 >; 25 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 10 con; 0-4 aty)
% Number of variables : 85 ( 2 sgn; 58 !; 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,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
k1_zfmisc_1: $i > $i ).
tff(decl_31,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_32,type,
k2_funct_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_33,type,
k5_group_4: ( $i * $i ) > $i ).
tff(decl_34,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_35,type,
v1_group_1: $i > $o ).
tff(decl_36,type,
u1_group_1: $i > $i ).
tff(decl_37,type,
g1_group_1: ( $i * $i ) > $i ).
tff(decl_38,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_39,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_40,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_41,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_42,type,
v1_relat_1: $i > $o ).
tff(decl_43,type,
v1_xboole_0: $i > $o ).
tff(decl_44,type,
m1_group_2: ( $i * $i ) > $o ).
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_3: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
esk6_0: $i ).
tff(decl_54,type,
esk7_0: $i ).
tff(decl_55,type,
esk8_1: $i > $i ).
tff(decl_56,type,
esk9_2: ( $i * $i ) > $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_0: $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_0: $i ).
tff(decl_66,type,
esk19_1: $i > $i ).
fof(t12_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))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> r1_tarski(k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4),k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(k5_group_4(X1,X4)))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_latsubgr) ).
fof(d5_group_4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> ( X3 = k5_group_4(X1,X2)
<=> ( r1_tarski(X2,u1_struct_0(X3))
& ! [X4] :
( ( v1_group_1(X4)
& m1_group_2(X4,X1) )
=> ( r1_tarski(X2,u1_struct_0(X4))
=> m1_group_2(X3,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_group_4) ).
fof(dt_k5_group_4,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( v1_group_1(k5_group_4(X1,X2))
& m1_group_2(k5_group_4(X1,X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_group_4) ).
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(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/sandbox/benchmark/theBenchmark.p',redefinition_k2_funct_2) ).
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/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(c_0_8,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))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> r1_tarski(k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4),k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(k5_group_4(X1,X4)))) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t12_latsubgr])]) ).
fof(c_0_9,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> ( X3 = k5_group_4(X1,X2)
<=> ( r1_tarski(X2,u1_struct_0(X3))
& ! [X4] :
( ( v1_group_1(X4)
& m1_group_2(X4,X1) )
=> ( r1_tarski(X2,u1_struct_0(X4))
=> m1_group_2(X3,X4) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d5_group_4]) ).
fof(c_0_10,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( v1_group_1(k5_group_4(X1,X2))
& m1_group_2(k5_group_4(X1,X2),X1) ) ),
inference(fof_simplification,[status(thm)],[dt_k5_group_4]) ).
fof(c_0_11,plain,
! [X83,X84,X85] :
( ( ~ m2_relset_1(X85,X83,X84)
| m1_relset_1(X85,X83,X84) )
& ( ~ m1_relset_1(X85,X83,X84)
| m2_relset_1(X85,X83,X84) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_12,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))
& m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ~ r1_tarski(k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk4_0),k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(k5_group_4(esk1_0,esk4_0)))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_13,plain,
! [X24,X25,X26,X27] :
( ( r1_tarski(X25,u1_struct_0(X26))
| X26 != k5_group_4(X24,X25)
| ~ v1_group_1(X26)
| ~ m1_group_2(X26,X24)
| ~ m1_subset_1(X25,k1_zfmisc_1(u1_struct_0(X24)))
| v3_struct_0(X24)
| ~ v3_group_1(X24)
| ~ v4_group_1(X24)
| ~ l1_group_1(X24) )
& ( ~ v1_group_1(X27)
| ~ m1_group_2(X27,X24)
| ~ r1_tarski(X25,u1_struct_0(X27))
| m1_group_2(X26,X27)
| X26 != k5_group_4(X24,X25)
| ~ v1_group_1(X26)
| ~ m1_group_2(X26,X24)
| ~ m1_subset_1(X25,k1_zfmisc_1(u1_struct_0(X24)))
| v3_struct_0(X24)
| ~ v3_group_1(X24)
| ~ v4_group_1(X24)
| ~ l1_group_1(X24) )
& ( v1_group_1(esk5_3(X24,X25,X26))
| ~ r1_tarski(X25,u1_struct_0(X26))
| X26 = k5_group_4(X24,X25)
| ~ v1_group_1(X26)
| ~ m1_group_2(X26,X24)
| ~ m1_subset_1(X25,k1_zfmisc_1(u1_struct_0(X24)))
| v3_struct_0(X24)
| ~ v3_group_1(X24)
| ~ v4_group_1(X24)
| ~ l1_group_1(X24) )
& ( m1_group_2(esk5_3(X24,X25,X26),X24)
| ~ r1_tarski(X25,u1_struct_0(X26))
| X26 = k5_group_4(X24,X25)
| ~ v1_group_1(X26)
| ~ m1_group_2(X26,X24)
| ~ m1_subset_1(X25,k1_zfmisc_1(u1_struct_0(X24)))
| v3_struct_0(X24)
| ~ v3_group_1(X24)
| ~ v4_group_1(X24)
| ~ l1_group_1(X24) )
& ( r1_tarski(X25,u1_struct_0(esk5_3(X24,X25,X26)))
| ~ r1_tarski(X25,u1_struct_0(X26))
| X26 = k5_group_4(X24,X25)
| ~ v1_group_1(X26)
| ~ m1_group_2(X26,X24)
| ~ m1_subset_1(X25,k1_zfmisc_1(u1_struct_0(X24)))
| v3_struct_0(X24)
| ~ v3_group_1(X24)
| ~ v4_group_1(X24)
| ~ l1_group_1(X24) )
& ( ~ m1_group_2(X26,esk5_3(X24,X25,X26))
| ~ r1_tarski(X25,u1_struct_0(X26))
| X26 = k5_group_4(X24,X25)
| ~ v1_group_1(X26)
| ~ m1_group_2(X26,X24)
| ~ m1_subset_1(X25,k1_zfmisc_1(u1_struct_0(X24)))
| v3_struct_0(X24)
| ~ v3_group_1(X24)
| ~ v4_group_1(X24)
| ~ l1_group_1(X24) ) ),
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_9])])])])]) ).
fof(c_0_14,plain,
! [X35,X36] :
( ( v1_group_1(k5_group_4(X35,X36))
| v3_struct_0(X35)
| ~ v3_group_1(X35)
| ~ v4_group_1(X35)
| ~ l1_group_1(X35)
| ~ m1_subset_1(X36,k1_zfmisc_1(u1_struct_0(X35))) )
& ( m1_group_2(k5_group_4(X35,X36),X35)
| v3_struct_0(X35)
| ~ v3_group_1(X35)
| ~ v4_group_1(X35)
| ~ l1_group_1(X35)
| ~ m1_subset_1(X36,k1_zfmisc_1(u1_struct_0(X35))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_15,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])]) ).
cnf(c_0_16,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
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_12]) ).
cnf(c_0_18,plain,
( r1_tarski(X1,u1_struct_0(X2))
| v3_struct_0(X3)
| X2 != k5_group_4(X3,X1)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( v1_group_1(k5_group_4(X1,X2))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
( m1_group_2(k5_group_4(X1,X2),X1)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_21,plain,
! [X40,X41,X42] :
( ~ m2_relset_1(X42,X40,X41)
| m1_subset_1(X42,k1_zfmisc_1(k2_zfmisc_1(X40,X41))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
cnf(c_0_22,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_15]) ).
cnf(c_0_23,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_24,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_25,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_26,plain,
! [X87,X88,X89] :
( ~ v1_relat_1(X89)
| ~ r1_tarski(X87,X88)
| r1_tarski(k9_relat_1(X89,X87),k9_relat_1(X89,X88)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t156_relat_1])]) ).
cnf(c_0_27,plain,
( r1_tarski(X1,u1_struct_0(k5_group_4(X2,X1)))
| v3_struct_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_18]),c_0_19]),c_0_20]) ).
cnf(c_0_28,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_29,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_30,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_31,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_32,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_33,plain,
! [X15,X16,X17] :
( ~ m1_subset_1(X17,k1_zfmisc_1(k2_zfmisc_1(X15,X16)))
| v1_relat_1(X17) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
cnf(c_0_34,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_21]) ).
cnf(c_0_35,negated_conjecture,
~ r1_tarski(k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk4_0),k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(k5_group_4(esk1_0,esk4_0)))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_36,negated_conjecture,
k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1) = k9_relat_1(esk3_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]) ).
cnf(c_0_37,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_26]) ).
cnf(c_0_38,negated_conjecture,
r1_tarski(esk4_0,u1_struct_0(k5_group_4(esk1_0,esk4_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_27,c_0_28]),c_0_29]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_39,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,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_34,c_0_17]) ).
cnf(c_0_41,negated_conjecture,
~ r1_tarski(k9_relat_1(esk3_0,esk4_0),k9_relat_1(esk3_0,u1_struct_0(k5_group_4(esk1_0,esk4_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36]),c_0_36]) ).
cnf(c_0_42,negated_conjecture,
( r1_tarski(k9_relat_1(X1,esk4_0),k9_relat_1(X1,u1_struct_0(k5_group_4(esk1_0,esk4_0))))
| ~ v1_relat_1(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
v1_relat_1(esk3_0),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP639+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
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 21:34:22 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 0.19/0.66 % Version : CSE_E---1.5
% 0.19/0.66 % Problem : theBenchmark.p
% 0.19/0.66 % Proof found
% 0.19/0.66 % SZS status Theorem for theBenchmark.p
% 0.19/0.66 % SZS output start Proof
% See solution above
% 0.19/0.67 % Total time : 0.087000 s
% 0.19/0.67 % SZS output end Proof
% 0.19/0.67 % Total time : 0.090000 s
%------------------------------------------------------------------------------