TSTP Solution File: GRP628+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP628+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 : n020.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 00:21:58 EDT 2023
% Result : Theorem 0.21s 0.62s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 70
% Syntax : Number of formulae : 118 ( 14 unt; 63 typ; 0 def)
% Number of atoms : 330 ( 31 equ)
% Maximal formula atoms : 30 ( 6 avg)
% Number of connectives : 432 ( 157 ~; 159 |; 76 &)
% ( 0 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 74 ( 46 >; 28 *; 0 +; 0 <<)
% Number of predicates : 25 ( 23 usr; 1 prp; 0-4 aty)
% Number of functors : 40 ( 40 usr; 17 con; 0-3 aty)
% Number of variables : 72 ( 0 sgn; 48 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v3_struct_0: $i > $o ).
tff(decl_23,type,
v1_group_1: $i > $o ).
tff(decl_24,type,
v3_group_1: $i > $o ).
tff(decl_25,type,
v4_group_1: $i > $o ).
tff(decl_26,type,
l1_group_1: $i > $o ).
tff(decl_27,type,
u1_struct_0: $i > $i ).
tff(decl_28,type,
k4_autgroup: $i > $i ).
tff(decl_29,type,
m2_fraenkel: ( $i * $i * $i * $i ) > $o ).
tff(decl_30,type,
k5_autgroup: $i > $i ).
tff(decl_31,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_32,type,
k2_funct_1: $i > $i ).
tff(decl_33,type,
k3_group_1: ( $i * $i ) > $i ).
tff(decl_34,type,
u1_group_1: $i > $i ).
tff(decl_35,type,
g1_group_1: ( $i * $i ) > $i ).
tff(decl_36,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_37,type,
v1_fraenkel: $i > $o ).
tff(decl_38,type,
v1_relat_1: $i > $o ).
tff(decl_39,type,
v1_funct_1: $i > $o ).
tff(decl_40,type,
v1_xboole_0: $i > $o ).
tff(decl_41,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_42,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_43,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_44,type,
v2_group_1: $i > $o ).
tff(decl_45,type,
m1_group_2: ( $i * $i ) > $o ).
tff(decl_46,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_47,type,
k1_zfmisc_1: $i > $i ).
tff(decl_48,type,
v2_funct_1: $i > $o ).
tff(decl_49,type,
k3_autgroup: $i > $i ).
tff(decl_50,type,
k1_autgroup: $i > $i ).
tff(decl_51,type,
k2_autgroup: $i > $i ).
tff(decl_52,type,
m1_fraenkel: ( $i * $i * $i ) > $o ).
tff(decl_53,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_54,type,
v1_group_3: ( $i * $i ) > $o ).
tff(decl_55,type,
l1_struct_0: $i > $o ).
tff(decl_56,type,
k1_xboole_0: $i ).
tff(decl_57,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_58,type,
esk1_0: $i ).
tff(decl_59,type,
esk2_0: $i ).
tff(decl_60,type,
esk3_0: $i ).
tff(decl_61,type,
esk4_0: $i ).
tff(decl_62,type,
esk5_0: $i ).
tff(decl_63,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk7_1: $i > $i ).
tff(decl_65,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk9_1: $i > $i ).
tff(decl_67,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk12_0: $i ).
tff(decl_70,type,
esk13_0: $i ).
tff(decl_71,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk15_0: $i ).
tff(decl_73,type,
esk16_1: $i > $i ).
tff(decl_74,type,
esk17_1: $i > $i ).
tff(decl_75,type,
esk18_0: $i ).
tff(decl_76,type,
esk19_0: $i ).
tff(decl_77,type,
esk20_0: $i ).
tff(decl_78,type,
esk21_0: $i ).
tff(decl_79,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_80,type,
esk23_0: $i ).
tff(decl_81,type,
esk24_0: $i ).
tff(decl_82,type,
esk25_0: $i ).
tff(decl_83,type,
esk26_0: $i ).
tff(decl_84,type,
esk27_1: $i > $i ).
fof(t57_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_group_2(X3,X1)
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X3))
=> ( X4 = X2
=> k3_group_1(X3,X4) = k3_group_1(X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_group_2) ).
fof(t51_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> m1_subset_1(X3,u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_group_2) ).
fof(t22_autgroup,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_autgroup(X1)))
=> ( X2 = X3
=> k2_funct_1(X2) = k3_group_1(k5_autgroup(X1),X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_autgroup) ).
fof(dt_k5_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_group_1(k5_autgroup(X1))
& v1_group_3(k5_autgroup(X1),k3_autgroup(X1))
& m1_group_2(k5_autgroup(X1),k3_autgroup(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_autgroup) ).
fof(t11_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k3_autgroup(X1)))
=> ( X2 = X3
=> k2_funct_1(X2) = k3_group_1(k3_autgroup(X1),X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_autgroup) ).
fof(t13_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
=> m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_autgroup) ).
fof(dt_k3_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( ~ v3_struct_0(k3_autgroup(X1))
& v1_group_1(k3_autgroup(X1))
& v3_group_1(k3_autgroup(X1))
& v4_group_1(k3_autgroup(X1))
& l1_group_1(k3_autgroup(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_autgroup) ).
fof(c_0_7,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_group_2(X3,X1)
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X3))
=> ( X4 = X2
=> k3_group_1(X3,X4) = k3_group_1(X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t57_group_2]) ).
fof(c_0_8,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> m1_subset_1(X3,u1_struct_0(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t51_group_2]) ).
fof(c_0_9,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_autgroup(X1)))
=> ( X2 = X3
=> k2_funct_1(X2) = k3_group_1(k5_autgroup(X1),X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t22_autgroup])]) ).
fof(c_0_10,plain,
! [X129,X130,X131,X132] :
( v3_struct_0(X129)
| ~ v3_group_1(X129)
| ~ v4_group_1(X129)
| ~ l1_group_1(X129)
| ~ m1_subset_1(X130,u1_struct_0(X129))
| ~ m1_group_2(X131,X129)
| ~ m1_subset_1(X132,u1_struct_0(X131))
| X132 != X130
| k3_group_1(X131,X132) = k3_group_1(X129,X130) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_11,plain,
! [X126,X127,X128] :
( v3_struct_0(X126)
| ~ v3_group_1(X126)
| ~ l1_group_1(X126)
| ~ m1_group_2(X127,X126)
| ~ m1_subset_1(X128,u1_struct_0(X127))
| m1_subset_1(X128,u1_struct_0(X126)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_12,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v1_group_1(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_autgroup(esk1_0))
& m1_subset_1(esk3_0,u1_struct_0(k5_autgroup(esk1_0)))
& esk2_0 = esk3_0
& k2_funct_1(esk2_0) != k3_group_1(k5_autgroup(esk1_0),esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
cnf(c_0_13,plain,
( v3_struct_0(X1)
| k3_group_1(X3,X4) = k3_group_1(X1,X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_group_2(X3,X1)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| X4 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( v3_struct_0(X1)
| m1_subset_1(X3,u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(k5_autgroup(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,negated_conjecture,
esk2_0 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_17,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_group_1(k5_autgroup(X1))
& v1_group_3(k5_autgroup(X1),k3_autgroup(X1))
& m1_group_2(k5_autgroup(X1),k3_autgroup(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k5_autgroup]) ).
fof(c_0_18,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k3_autgroup(X1)))
=> ( X2 = X3
=> k2_funct_1(X2) = k3_group_1(k3_autgroup(X1),X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[t11_autgroup]) ).
fof(c_0_19,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
=> m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ) ),
inference(fof_simplification,[status(thm)],[t13_autgroup]) ).
cnf(c_0_20,plain,
( k3_group_1(X1,X2) = k3_group_1(X3,X2)
| v3_struct_0(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_13]),c_0_14]) ).
cnf(c_0_21,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(k5_autgroup(esk1_0))),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_22,plain,
! [X40] :
( ( v1_group_1(k5_autgroup(X40))
| v3_struct_0(X40)
| ~ v1_group_1(X40)
| ~ v3_group_1(X40)
| ~ v4_group_1(X40)
| ~ l1_group_1(X40) )
& ( v1_group_3(k5_autgroup(X40),k3_autgroup(X40))
| v3_struct_0(X40)
| ~ v1_group_1(X40)
| ~ v3_group_1(X40)
| ~ v4_group_1(X40)
| ~ l1_group_1(X40) )
& ( m1_group_2(k5_autgroup(X40),k3_autgroup(X40))
| v3_struct_0(X40)
| ~ v1_group_1(X40)
| ~ v3_group_1(X40)
| ~ v4_group_1(X40)
| ~ l1_group_1(X40) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_23,plain,
! [X112,X113,X114] :
( v3_struct_0(X112)
| ~ v1_group_1(X112)
| ~ v3_group_1(X112)
| ~ v4_group_1(X112)
| ~ l1_group_1(X112)
| ~ m2_fraenkel(X113,u1_struct_0(X112),u1_struct_0(X112),k1_autgroup(X112))
| ~ m1_subset_1(X114,u1_struct_0(k3_autgroup(X112)))
| X113 != X114
| k2_funct_1(X113) = k3_group_1(k3_autgroup(X112),X114) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
fof(c_0_24,plain,
! [X115,X116] :
( v3_struct_0(X115)
| ~ v1_group_1(X115)
| ~ v3_group_1(X115)
| ~ v4_group_1(X115)
| ~ l1_group_1(X115)
| ~ m2_fraenkel(X116,u1_struct_0(X115),u1_struct_0(X115),k4_autgroup(X115))
| m2_fraenkel(X116,u1_struct_0(X115),u1_struct_0(X115),k1_autgroup(X115)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
cnf(c_0_25,negated_conjecture,
k2_funct_1(esk2_0) != k3_group_1(k5_autgroup(esk1_0),esk3_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_26,negated_conjecture,
( k3_group_1(X1,esk2_0) = k3_group_1(k5_autgroup(esk1_0),esk2_0)
| v3_struct_0(X1)
| ~ m1_group_2(k5_autgroup(esk1_0),X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,plain,
( m1_group_2(k5_autgroup(X1),k3_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_29,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_30,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_31,negated_conjecture,
v1_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]) ).
cnf(c_0_33,plain,
( v3_struct_0(X1)
| k2_funct_1(X2) = k3_group_1(k3_autgroup(X1),X3)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ m1_subset_1(X3,u1_struct_0(k3_autgroup(X1)))
| X2 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34,plain,
( v3_struct_0(X1)
| m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_35,negated_conjecture,
m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_autgroup(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_36,negated_conjecture,
k3_group_1(k5_autgroup(esk1_0),esk2_0) != k2_funct_1(esk2_0),
inference(rw,[status(thm)],[c_0_25,c_0_16]) ).
cnf(c_0_37,negated_conjecture,
( k3_group_1(k5_autgroup(esk1_0),esk2_0) = k3_group_1(k3_autgroup(esk1_0),esk2_0)
| v3_struct_0(k3_autgroup(esk1_0))
| ~ l1_group_1(k3_autgroup(esk1_0))
| ~ v4_group_1(k3_autgroup(esk1_0))
| ~ v3_group_1(k3_autgroup(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_26,c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_38,plain,
( k3_group_1(k3_autgroup(X1),X2) = k2_funct_1(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X1)))
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(er,[status(thm)],[c_0_33]) ).
cnf(c_0_39,negated_conjecture,
m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(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_34,c_0_35]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_40,negated_conjecture,
( m1_subset_1(esk2_0,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ m1_group_2(k5_autgroup(esk1_0),X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_21]) ).
fof(c_0_41,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( ~ v3_struct_0(k3_autgroup(X1))
& v1_group_1(k3_autgroup(X1))
& v3_group_1(k3_autgroup(X1))
& v4_group_1(k3_autgroup(X1))
& l1_group_1(k3_autgroup(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k3_autgroup]) ).
cnf(c_0_42,negated_conjecture,
( v3_struct_0(k3_autgroup(esk1_0))
| k3_group_1(k3_autgroup(esk1_0),esk2_0) != k2_funct_1(esk2_0)
| ~ l1_group_1(k3_autgroup(esk1_0))
| ~ v4_group_1(k3_autgroup(esk1_0))
| ~ v3_group_1(k3_autgroup(esk1_0)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,negated_conjecture,
( k3_group_1(k3_autgroup(esk1_0),esk2_0) = k2_funct_1(esk2_0)
| ~ m1_subset_1(esk2_0,u1_struct_0(k3_autgroup(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_38,c_0_39]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_44,negated_conjecture,
( m1_subset_1(esk2_0,u1_struct_0(k3_autgroup(esk1_0)))
| v3_struct_0(k3_autgroup(esk1_0))
| ~ l1_group_1(k3_autgroup(esk1_0))
| ~ v3_group_1(k3_autgroup(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_40,c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]),c_0_32]) ).
fof(c_0_45,plain,
! [X36] :
( ( ~ v3_struct_0(k3_autgroup(X36))
| v3_struct_0(X36)
| ~ v1_group_1(X36)
| ~ v3_group_1(X36)
| ~ v4_group_1(X36)
| ~ l1_group_1(X36) )
& ( v1_group_1(k3_autgroup(X36))
| v3_struct_0(X36)
| ~ v1_group_1(X36)
| ~ v3_group_1(X36)
| ~ v4_group_1(X36)
| ~ l1_group_1(X36) )
& ( v3_group_1(k3_autgroup(X36))
| v3_struct_0(X36)
| ~ v1_group_1(X36)
| ~ v3_group_1(X36)
| ~ v4_group_1(X36)
| ~ l1_group_1(X36) )
& ( v4_group_1(k3_autgroup(X36))
| v3_struct_0(X36)
| ~ v1_group_1(X36)
| ~ v3_group_1(X36)
| ~ v4_group_1(X36)
| ~ l1_group_1(X36) )
& ( l1_group_1(k3_autgroup(X36))
| v3_struct_0(X36)
| ~ v1_group_1(X36)
| ~ v3_group_1(X36)
| ~ v4_group_1(X36)
| ~ l1_group_1(X36) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])]) ).
cnf(c_0_46,negated_conjecture,
( v3_struct_0(k3_autgroup(esk1_0))
| ~ l1_group_1(k3_autgroup(esk1_0))
| ~ v4_group_1(k3_autgroup(esk1_0))
| ~ v3_group_1(k3_autgroup(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_47,plain,
( v4_group_1(k3_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_48,negated_conjecture,
( v3_struct_0(k3_autgroup(esk1_0))
| ~ l1_group_1(k3_autgroup(esk1_0))
| ~ v3_group_1(k3_autgroup(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_46,c_0_47]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_49,plain,
( v3_group_1(k3_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_50,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k3_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_51,negated_conjecture,
( v3_struct_0(k3_autgroup(esk1_0))
| ~ l1_group_1(k3_autgroup(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_48,c_0_49]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_52,negated_conjecture,
~ l1_group_1(k3_autgroup(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_50,c_0_51]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_53,plain,
( l1_group_1(k3_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
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_53]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]),c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP628+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n020.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 21:36:58 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 0.21/0.62 % Version : CSE_E---1.5
% 0.21/0.62 % Problem : theBenchmark.p
% 0.21/0.62 % Proof found
% 0.21/0.62 % SZS status Theorem for theBenchmark.p
% 0.21/0.62 % SZS output start Proof
% See solution above
% 0.21/0.63 % Total time : 0.039000 s
% 0.21/0.63 % SZS output end Proof
% 0.21/0.63 % Total time : 0.045000 s
%------------------------------------------------------------------------------