TSTP Solution File: GRP645+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP645+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 : n009.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 00:22:30 EDT 2023
% Result : Theorem 0.52s 0.85s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 54
% Syntax : Number of formulae : 102 ( 26 unt; 47 typ; 0 def)
% Number of atoms : 271 ( 39 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 338 ( 122 ~; 124 |; 68 &)
% ( 2 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 63 ( 38 >; 25 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 9 con; 0-3 aty)
% Number of variables : 69 ( 1 sgn; 43 !; 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_group_1: $i > $o ).
tff(decl_27,type,
m1_group_2: ( $i * $i ) > $o ).
tff(decl_28,type,
k1_latsubgr: $i > $i ).
tff(decl_29,type,
k9_group_2: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
k1_funct_1: ( $i * $i ) > $i ).
tff(decl_31,type,
k3_xboole_0: ( $i * $i ) > $i ).
tff(decl_32,type,
u1_struct_0: $i > $i ).
tff(decl_33,type,
u1_group_1: $i > $i ).
tff(decl_34,type,
g1_group_1: ( $i * $i ) > $i ).
tff(decl_35,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_36,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_37,type,
v1_funct_1: $i > $o ).
tff(decl_38,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_39,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_40,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_41,type,
k1_zfmisc_1: $i > $i ).
tff(decl_42,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_43,type,
v1_relat_1: $i > $o ).
tff(decl_44,type,
v1_xboole_0: $i > $o ).
tff(decl_45,type,
k1_group_3: $i > $i ).
tff(decl_46,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_47,type,
k8_group_2: ( $i * $i * $i ) > $i ).
tff(decl_48,type,
l1_struct_0: $i > $o ).
tff(decl_49,type,
k1_xboole_0: $i ).
tff(decl_50,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_51,type,
esk1_0: $i ).
tff(decl_52,type,
esk2_0: $i ).
tff(decl_53,type,
esk3_0: $i ).
tff(decl_54,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_55,type,
esk5_0: $i ).
tff(decl_56,type,
esk6_0: $i ).
tff(decl_57,type,
esk7_1: $i > $i ).
tff(decl_58,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk9_1: $i > $i ).
tff(decl_60,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk12_1: $i > $i ).
tff(decl_63,type,
esk13_0: $i ).
tff(decl_64,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk15_1: $i > $i ).
tff(decl_66,type,
esk16_0: $i ).
tff(decl_67,type,
esk17_0: $i ).
tff(decl_68,type,
esk18_1: $i > $i ).
fof(t23_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> u1_struct_0(k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_latsubgr) ).
fof(t24_latsubgr,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> k1_funct_1(k1_latsubgr(X1),k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_latsubgr) ).
fof(dt_k9_group_2,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_group_2(X2,X1)
& m1_group_2(X3,X1) )
=> ( v1_group_1(k9_group_2(X1,X2,X3))
& m1_group_2(k9_group_2(X1,X2,X3),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_group_2) ).
fof(d1_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) )
=> ( X2 = k1_latsubgr(X1)
<=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> k1_funct_1(X2,X3) = u1_struct_0(X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_latsubgr) ).
fof(dt_k1_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_funct_1(k1_latsubgr(X1))
& v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
fof(idempotence_k3_xboole_0,axiom,
! [X1,X2] : k3_xboole_0(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(c_0_7,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> u1_struct_0(k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)) ) ) ),
inference(fof_simplification,[status(thm)],[t23_latsubgr]) ).
fof(c_0_8,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> k1_funct_1(k1_latsubgr(X1),k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t24_latsubgr])]) ).
fof(c_0_9,plain,
! [X94,X95,X96] :
( v3_struct_0(X94)
| ~ v3_group_1(X94)
| ~ v4_group_1(X94)
| ~ l1_group_1(X94)
| ~ v1_group_1(X95)
| ~ m1_group_2(X95,X94)
| ~ v1_group_1(X96)
| ~ m1_group_2(X96,X94)
| u1_struct_0(k9_group_2(X94,X95,X96)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X94),X95),k1_funct_1(k1_latsubgr(X94),X96)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_10,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& v1_group_1(esk2_0)
& m1_group_2(esk2_0,esk1_0)
& v1_group_1(esk3_0)
& m1_group_2(esk3_0,esk1_0)
& k1_funct_1(k1_latsubgr(esk1_0),k9_group_2(esk1_0,esk2_0,esk3_0)) != k3_xboole_0(k1_funct_1(k1_latsubgr(esk1_0),esk2_0),k1_funct_1(k1_latsubgr(esk1_0),esk3_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_11,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_group_2(X2,X1)
& m1_group_2(X3,X1) )
=> ( v1_group_1(k9_group_2(X1,X2,X3))
& m1_group_2(k9_group_2(X1,X2,X3),X1) ) ),
inference(fof_simplification,[status(thm)],[dt_k9_group_2]) ).
fof(c_0_12,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) )
=> ( X2 = k1_latsubgr(X1)
<=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> k1_funct_1(X2,X3) = u1_struct_0(X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[d1_latsubgr]) ).
fof(c_0_13,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_funct_1(k1_latsubgr(X1))
& v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_k1_latsubgr]) ).
cnf(c_0_14,plain,
( v3_struct_0(X1)
| u1_struct_0(k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
m1_group_2(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
v1_group_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_21,plain,
! [X69] : k3_xboole_0(X69,X69) = X69,
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[idempotence_k3_xboole_0])]) ).
fof(c_0_22,plain,
! [X38,X39,X40] :
( ( v1_group_1(k9_group_2(X38,X39,X40))
| v3_struct_0(X38)
| ~ v3_group_1(X38)
| ~ v4_group_1(X38)
| ~ l1_group_1(X38)
| ~ m1_group_2(X39,X38)
| ~ m1_group_2(X40,X38) )
& ( m1_group_2(k9_group_2(X38,X39,X40),X38)
| v3_struct_0(X38)
| ~ v3_group_1(X38)
| ~ v4_group_1(X38)
| ~ l1_group_1(X38)
| ~ m1_group_2(X39,X38)
| ~ m1_group_2(X40,X38) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_23,plain,
! [X28,X29,X30] :
( ( X29 != k1_latsubgr(X28)
| ~ v1_group_1(X30)
| ~ m1_group_2(X30,X28)
| k1_funct_1(X29,X30) = u1_struct_0(X30)
| ~ v1_funct_1(X29)
| ~ v1_funct_2(X29,k1_group_3(X28),k1_zfmisc_1(u1_struct_0(X28)))
| ~ m2_relset_1(X29,k1_group_3(X28),k1_zfmisc_1(u1_struct_0(X28)))
| v3_struct_0(X28)
| ~ v3_group_1(X28)
| ~ v4_group_1(X28)
| ~ l1_group_1(X28) )
& ( v1_group_1(esk4_2(X28,X29))
| X29 = k1_latsubgr(X28)
| ~ v1_funct_1(X29)
| ~ v1_funct_2(X29,k1_group_3(X28),k1_zfmisc_1(u1_struct_0(X28)))
| ~ m2_relset_1(X29,k1_group_3(X28),k1_zfmisc_1(u1_struct_0(X28)))
| v3_struct_0(X28)
| ~ v3_group_1(X28)
| ~ v4_group_1(X28)
| ~ l1_group_1(X28) )
& ( m1_group_2(esk4_2(X28,X29),X28)
| X29 = k1_latsubgr(X28)
| ~ v1_funct_1(X29)
| ~ v1_funct_2(X29,k1_group_3(X28),k1_zfmisc_1(u1_struct_0(X28)))
| ~ m2_relset_1(X29,k1_group_3(X28),k1_zfmisc_1(u1_struct_0(X28)))
| v3_struct_0(X28)
| ~ v3_group_1(X28)
| ~ v4_group_1(X28)
| ~ l1_group_1(X28) )
& ( k1_funct_1(X29,esk4_2(X28,X29)) != u1_struct_0(esk4_2(X28,X29))
| X29 = k1_latsubgr(X28)
| ~ v1_funct_1(X29)
| ~ v1_funct_2(X29,k1_group_3(X28),k1_zfmisc_1(u1_struct_0(X28)))
| ~ m2_relset_1(X29,k1_group_3(X28),k1_zfmisc_1(u1_struct_0(X28)))
| v3_struct_0(X28)
| ~ v3_group_1(X28)
| ~ v4_group_1(X28)
| ~ l1_group_1(X28) ) ),
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_12])])])])]) ).
fof(c_0_24,plain,
! [X34] :
( ( v1_funct_1(k1_latsubgr(X34))
| v3_struct_0(X34)
| ~ v3_group_1(X34)
| ~ v4_group_1(X34)
| ~ l1_group_1(X34) )
& ( v1_funct_2(k1_latsubgr(X34),k1_group_3(X34),k1_zfmisc_1(u1_struct_0(X34)))
| v3_struct_0(X34)
| ~ v3_group_1(X34)
| ~ v4_group_1(X34)
| ~ l1_group_1(X34) )
& ( m2_relset_1(k1_latsubgr(X34),k1_group_3(X34),k1_zfmisc_1(u1_struct_0(X34)))
| v3_struct_0(X34)
| ~ v3_group_1(X34)
| ~ v4_group_1(X34)
| ~ l1_group_1(X34) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
cnf(c_0_25,negated_conjecture,
( k3_xboole_0(k1_funct_1(k1_latsubgr(esk1_0),X1),k1_funct_1(k1_latsubgr(esk1_0),esk3_0)) = u1_struct_0(k9_group_2(esk1_0,X1,esk3_0))
| ~ m1_group_2(X1,esk1_0)
| ~ v1_group_1(X1) ),
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_14,c_0_15]),c_0_16]),c_0_17]),c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_26,plain,
k3_xboole_0(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_27,plain,
! [X23,X24] : k3_xboole_0(X23,X24) = k3_xboole_0(X24,X23),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
cnf(c_0_28,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_29,negated_conjecture,
v1_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_30,plain,
( m1_group_2(k9_group_2(X1,X2,X3),X1)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ m1_group_2(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,plain,
( v1_group_1(k9_group_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ m1_group_2(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,plain,
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| v3_struct_0(X2)
| X1 != k1_latsubgr(X2)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m2_relset_1(X1,k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,plain,
( v1_funct_1(k1_latsubgr(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,plain,
( v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_35,plain,
( m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_36,negated_conjecture,
k1_funct_1(k1_latsubgr(esk1_0),k9_group_2(esk1_0,esk2_0,esk3_0)) != k3_xboole_0(k1_funct_1(k1_latsubgr(esk1_0),esk2_0),k1_funct_1(k1_latsubgr(esk1_0),esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_37,negated_conjecture,
k1_funct_1(k1_latsubgr(esk1_0),esk3_0) = u1_struct_0(k9_group_2(esk1_0,esk3_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_15]),c_0_26]),c_0_16])]) ).
cnf(c_0_38,plain,
k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_39,negated_conjecture,
( k3_xboole_0(k1_funct_1(k1_latsubgr(esk1_0),X1),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)) = u1_struct_0(k9_group_2(esk1_0,X1,esk2_0))
| ~ m1_group_2(X1,esk1_0)
| ~ v1_group_1(X1) ),
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_14,c_0_28]),c_0_29]),c_0_17]),c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_40,negated_conjecture,
( m1_group_2(k9_group_2(esk1_0,X1,esk3_0),esk1_0)
| ~ m1_group_2(X1,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_30,c_0_15]),c_0_17]),c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_41,negated_conjecture,
( v1_group_1(k9_group_2(esk1_0,X1,esk3_0))
| ~ m1_group_2(X1,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_31,c_0_15]),c_0_17]),c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_42,plain,
( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_32]),c_0_33]),c_0_34]),c_0_35]) ).
cnf(c_0_43,negated_conjecture,
k3_xboole_0(u1_struct_0(k9_group_2(esk1_0,esk3_0,esk3_0)),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)) != k1_funct_1(k1_latsubgr(esk1_0),k9_group_2(esk1_0,esk2_0,esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_44,negated_conjecture,
k1_funct_1(k1_latsubgr(esk1_0),esk2_0) = u1_struct_0(k9_group_2(esk1_0,esk2_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_28]),c_0_26]),c_0_29])]) ).
cnf(c_0_45,negated_conjecture,
m1_group_2(k9_group_2(esk1_0,esk2_0,esk3_0),esk1_0),
inference(spm,[status(thm)],[c_0_40,c_0_28]) ).
cnf(c_0_46,negated_conjecture,
v1_group_1(k9_group_2(esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_41,c_0_28]) ).
cnf(c_0_47,negated_conjecture,
( k3_xboole_0(u1_struct_0(k9_group_2(esk1_0,esk3_0,esk3_0)),k1_funct_1(k1_latsubgr(esk1_0),X1)) = u1_struct_0(k9_group_2(esk1_0,X1,esk3_0))
| ~ m1_group_2(X1,esk1_0)
| ~ v1_group_1(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_37]),c_0_38]) ).
cnf(c_0_48,negated_conjecture,
u1_struct_0(k9_group_2(esk1_0,esk3_0,esk3_0)) = u1_struct_0(esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_15]),c_0_37]),c_0_16]),c_0_17]),c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_49,negated_conjecture,
k3_xboole_0(u1_struct_0(k9_group_2(esk1_0,esk2_0,esk2_0)),u1_struct_0(k9_group_2(esk1_0,esk3_0,esk3_0))) != k1_funct_1(k1_latsubgr(esk1_0),k9_group_2(esk1_0,esk2_0,esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44]),c_0_38]) ).
cnf(c_0_50,negated_conjecture,
u1_struct_0(k9_group_2(esk1_0,esk2_0,esk2_0)) = u1_struct_0(esk2_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_28]),c_0_44]),c_0_29]),c_0_17]),c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_51,negated_conjecture,
k1_funct_1(k1_latsubgr(esk1_0),k9_group_2(esk1_0,esk2_0,esk3_0)) = u1_struct_0(k9_group_2(esk1_0,esk2_0,esk3_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_42,c_0_45]),c_0_46]),c_0_17]),c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_52,negated_conjecture,
( k3_xboole_0(u1_struct_0(esk3_0),k1_funct_1(k1_latsubgr(esk1_0),X1)) = u1_struct_0(k9_group_2(esk1_0,X1,esk3_0))
| ~ m1_group_2(X1,esk1_0)
| ~ v1_group_1(X1) ),
inference(rw,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_53,negated_conjecture,
k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk3_0)) != u1_struct_0(k9_group_2(esk1_0,esk2_0,esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_48]),c_0_38]),c_0_50]),c_0_38]),c_0_51]) ).
cnf(c_0_54,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_52,c_0_28]),c_0_44]),c_0_50]),c_0_38]),c_0_29])]),c_0_53]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP645+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 23:17:20 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.20/0.55 start to proof: theBenchmark
% 0.52/0.85 % Version : CSE_E---1.5
% 0.52/0.85 % Problem : theBenchmark.p
% 0.52/0.85 % Proof found
% 0.52/0.85 % SZS status Theorem for theBenchmark.p
% 0.52/0.85 % SZS output start Proof
% See solution above
% 0.52/0.85 % Total time : 0.285000 s
% 0.52/0.85 % SZS output end Proof
% 0.52/0.85 % Total time : 0.289000 s
%------------------------------------------------------------------------------