TSTP Solution File: GRP618+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP618+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 : n021.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 00:21:50 EDT 2023
% Result : Theorem 10.03s 10.13s
% Output : CNFRefutation 10.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 58
% Syntax : Number of formulae : 111 ( 14 unt; 55 typ; 0 def)
% Number of atoms : 274 ( 0 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 333 ( 115 ~; 145 |; 37 &)
% ( 2 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 62 ( 38 >; 24 *; 0 +; 0 <<)
% Number of predicates : 22 ( 21 usr; 1 prp; 0-3 aty)
% Number of functors : 34 ( 34 usr; 17 con; 0-3 aty)
% Number of variables : 57 ( 0 sgn; 32 !; 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,
m1_group_2: ( $i * $i ) > $o ).
tff(decl_28,type,
u1_struct_0: $i > $i ).
tff(decl_29,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_30,type,
k2_group_3: ( $i * $i * $i ) > $i ).
tff(decl_31,type,
r1_rlvect_1: ( $i * $i ) > $o ).
tff(decl_32,type,
v1_group_3: ( $i * $i ) > $o ).
tff(decl_33,type,
v1_relat_1: $i > $o ).
tff(decl_34,type,
v1_funct_1: $i > $o ).
tff(decl_35,type,
v2_funct_1: $i > $o ).
tff(decl_36,type,
v1_xboole_0: $i > $o ).
tff(decl_37,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_38,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_39,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_40,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_41,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_42,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_43,type,
k1_zfmisc_1: $i > $i ).
tff(decl_44,type,
k1_xboole_0: $i ).
tff(decl_45,type,
l1_struct_0: $i > $o ).
tff(decl_46,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_47,type,
g1_group_1: ( $i * $i ) > $i ).
tff(decl_48,type,
u1_group_1: $i > $i ).
tff(decl_49,type,
v2_group_1: $i > $o ).
tff(decl_50,type,
esk1_0: $i ).
tff(decl_51,type,
esk2_0: $i ).
tff(decl_52,type,
esk3_0: $i ).
tff(decl_53,type,
esk4_0: $i ).
tff(decl_54,type,
esk5_0: $i ).
tff(decl_55,type,
esk6_0: $i ).
tff(decl_56,type,
esk7_0: $i ).
tff(decl_57,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk9_0: $i ).
tff(decl_59,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk11_1: $i > $i ).
tff(decl_61,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk14_0: $i ).
tff(decl_64,type,
esk15_0: $i ).
tff(decl_65,type,
esk16_0: $i ).
tff(decl_66,type,
esk17_1: $i > $i ).
tff(decl_67,type,
esk18_1: $i > $i ).
tff(decl_68,type,
esk19_0: $i ).
tff(decl_69,type,
esk20_0: $i ).
tff(decl_70,type,
esk21_0: $i ).
tff(decl_71,type,
esk22_1: $i > $i ).
tff(decl_72,type,
esk23_1: $i > $i ).
tff(decl_73,type,
esk24_0: $i ).
tff(decl_74,type,
esk25_0: $i ).
tff(decl_75,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_76,type,
esk27_2: ( $i * $i ) > $i ).
fof(l1_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) )
=> v1_group_3(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_autgroup) ).
fof(t1_autgroup,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) )
<=> v1_group_3(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_autgroup) ).
fof(l2_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( v1_group_3(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_autgroup) ).
fof(c_0_3,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) )
=> v1_group_3(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[l1_autgroup]) ).
fof(c_0_4,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) )
<=> v1_group_3(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t1_autgroup])]) ).
fof(c_0_5,plain,
! [X105,X106] :
( ( m1_subset_1(esk26_2(X105,X106),u1_struct_0(X105))
| v1_group_3(X106,X105)
| ~ m1_group_2(X106,X105)
| v3_struct_0(X105)
| ~ v1_group_1(X105)
| ~ v3_group_1(X105)
| ~ v4_group_1(X105)
| ~ l1_group_1(X105) )
& ( m1_subset_1(esk27_2(X105,X106),u1_struct_0(X105))
| v1_group_3(X106,X105)
| ~ m1_group_2(X106,X105)
| v3_struct_0(X105)
| ~ v1_group_1(X105)
| ~ v3_group_1(X105)
| ~ v4_group_1(X105)
| ~ l1_group_1(X105) )
& ( m1_subset_1(esk27_2(X105,X106),u1_struct_0(X106))
| v1_group_3(X106,X105)
| ~ m1_group_2(X106,X105)
| v3_struct_0(X105)
| ~ v1_group_1(X105)
| ~ v3_group_1(X105)
| ~ v4_group_1(X105)
| ~ l1_group_1(X105) )
& ( ~ r1_rlvect_1(X106,k2_group_3(X105,esk27_2(X105,X106),esk26_2(X105,X106)))
| v1_group_3(X106,X105)
| ~ m1_group_2(X106,X105)
| v3_struct_0(X105)
| ~ v1_group_1(X105)
| ~ v3_group_1(X105)
| ~ v4_group_1(X105)
| ~ l1_group_1(X105) ) ),
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_3])])])])]) ).
fof(c_0_6,negated_conjecture,
! [X9,X10] :
( ~ 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)
& m1_group_2(esk2_0,esk1_0)
& ( m1_subset_1(esk3_0,u1_struct_0(esk1_0))
| ~ v1_group_3(esk2_0,esk1_0) )
& ( m1_subset_1(esk4_0,u1_struct_0(esk1_0))
| ~ v1_group_3(esk2_0,esk1_0) )
& ( m1_subset_1(esk4_0,u1_struct_0(esk2_0))
| ~ v1_group_3(esk2_0,esk1_0) )
& ( ~ r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk4_0,esk3_0))
| ~ v1_group_3(esk2_0,esk1_0) )
& ( ~ m1_subset_1(X9,u1_struct_0(esk1_0))
| ~ m1_subset_1(X10,u1_struct_0(esk1_0))
| ~ m1_subset_1(X10,u1_struct_0(esk2_0))
| r1_rlvect_1(esk2_0,k2_group_3(esk1_0,X10,X9))
| v1_group_3(esk2_0,esk1_0) ) ),
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,
( m1_subset_1(esk27_2(X1,X2),u1_struct_0(X1))
| v1_group_3(X2,X1)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,plain,
( m1_subset_1(esk27_2(X1,X2),u1_struct_0(X2))
| v1_group_3(X2,X1)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
( m1_subset_1(esk4_0,u1_struct_0(esk1_0))
| ~ v1_group_3(esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,negated_conjecture,
( v1_group_3(esk2_0,esk1_0)
| m1_subset_1(esk27_2(esk1_0,esk2_0),u1_struct_0(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_7,c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_13]) ).
cnf(c_0_17,negated_conjecture,
( v1_group_3(esk2_0,esk1_0)
| m1_subset_1(esk27_2(esk1_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(spm,[status(thm)],[c_0_14,c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_13]) ).
cnf(c_0_18,plain,
( m1_subset_1(esk26_2(X1,X2),u1_struct_0(X1))
| v1_group_3(X2,X1)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
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] :
( m1_group_2(X2,X1)
=> ( v1_group_3(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[l2_autgroup]) ).
cnf(c_0_20,negated_conjecture,
( r1_rlvect_1(esk2_0,k2_group_3(esk1_0,X2,X1))
| v1_group_3(esk2_0,esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,negated_conjecture,
( m1_subset_1(esk27_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
| m1_subset_1(esk4_0,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,negated_conjecture,
( m1_subset_1(esk27_2(esk1_0,esk2_0),u1_struct_0(esk2_0))
| m1_subset_1(esk4_0,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_17]) ).
cnf(c_0_23,negated_conjecture,
( v1_group_3(esk2_0,esk1_0)
| m1_subset_1(esk26_2(esk1_0,esk2_0),u1_struct_0(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_18,c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_13]) ).
fof(c_0_24,plain,
! [X109,X110,X111,X112] :
( v3_struct_0(X109)
| ~ v1_group_1(X109)
| ~ v3_group_1(X109)
| ~ v4_group_1(X109)
| ~ l1_group_1(X109)
| ~ m1_group_2(X110,X109)
| ~ v1_group_3(X110,X109)
| ~ m1_subset_1(X111,u1_struct_0(X109))
| ~ m1_subset_1(X112,u1_struct_0(X109))
| ~ m1_subset_1(X112,u1_struct_0(X110))
| r1_rlvect_1(X110,k2_group_3(X109,X112,X111)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
cnf(c_0_25,negated_conjecture,
( m1_subset_1(esk4_0,u1_struct_0(esk2_0))
| ~ v1_group_3(esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_26,negated_conjecture,
( r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk27_2(esk1_0,esk2_0),X1))
| m1_subset_1(esk4_0,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_15]) ).
cnf(c_0_27,negated_conjecture,
( m1_subset_1(esk26_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
| m1_subset_1(esk4_0,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_23]) ).
cnf(c_0_28,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,k2_group_3(X1,X4,X3))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_3(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( m1_subset_1(esk27_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
| m1_subset_1(esk4_0,u1_struct_0(esk2_0)) ),
inference(spm,[status(thm)],[c_0_25,c_0_16]) ).
cnf(c_0_30,plain,
( v1_group_3(X1,X2)
| v3_struct_0(X2)
| ~ r1_rlvect_1(X1,k2_group_3(X2,esk27_2(X2,X1),esk26_2(X2,X1)))
| ~ m1_group_2(X1,X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_31,negated_conjecture,
( r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk27_2(esk1_0,esk2_0),esk26_2(esk1_0,esk2_0)))
| m1_subset_1(esk4_0,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
( r1_rlvect_1(esk2_0,k2_group_3(X1,esk4_0,X2))
| m1_subset_1(esk27_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
| v3_struct_0(X1)
| ~ v1_group_3(esk2_0,X1)
| ~ m1_subset_1(esk4_0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_group_2(esk2_0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk1_0)),
inference(csr,[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(spm,[status(thm)],[c_0_30,c_0_31]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_13]),c_0_15]) ).
cnf(c_0_34,negated_conjecture,
( m1_subset_1(esk3_0,u1_struct_0(esk1_0))
| ~ v1_group_3(esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_35,negated_conjecture,
( r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk4_0,X1))
| m1_subset_1(esk27_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(csr,[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(spm,[status(thm)],[c_0_32,c_0_33]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_13]),c_0_16]) ).
cnf(c_0_36,negated_conjecture,
( m1_subset_1(esk27_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
| m1_subset_1(esk3_0,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_16]) ).
cnf(c_0_37,negated_conjecture,
( ~ r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk4_0,esk3_0))
| ~ v1_group_3(esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_38,negated_conjecture,
( r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk4_0,esk3_0))
| m1_subset_1(esk27_2(esk1_0,esk2_0),u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
m1_subset_1(esk27_2(esk1_0,esk2_0),u1_struct_0(esk1_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_16]) ).
cnf(c_0_40,negated_conjecture,
( m1_subset_1(esk26_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
| m1_subset_1(esk4_0,u1_struct_0(esk2_0)) ),
inference(spm,[status(thm)],[c_0_25,c_0_23]) ).
cnf(c_0_41,negated_conjecture,
( v1_group_3(esk2_0,esk1_0)
| r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk27_2(esk1_0,esk2_0),X1))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_39]),c_0_17]) ).
cnf(c_0_42,negated_conjecture,
( m1_subset_1(esk26_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
| m1_subset_1(esk3_0,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_23]) ).
cnf(c_0_43,negated_conjecture,
( r1_rlvect_1(esk2_0,k2_group_3(X1,esk4_0,X2))
| m1_subset_1(esk26_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
| v3_struct_0(X1)
| ~ v1_group_3(esk2_0,X1)
| ~ m1_subset_1(esk4_0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_group_2(esk2_0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
( r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk27_2(esk1_0,esk2_0),esk26_2(esk1_0,esk2_0)))
| m1_subset_1(esk3_0,u1_struct_0(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_34]) ).
cnf(c_0_45,negated_conjecture,
( r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk4_0,X1))
| m1_subset_1(esk26_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(csr,[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(spm,[status(thm)],[c_0_43,c_0_33]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_13]),c_0_23]) ).
cnf(c_0_46,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(csr,[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(spm,[status(thm)],[c_0_30,c_0_44]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_13]),c_0_34]) ).
cnf(c_0_47,negated_conjecture,
( r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk4_0,esk3_0))
| m1_subset_1(esk26_2(esk1_0,esk2_0),u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_48,negated_conjecture,
m1_subset_1(esk26_2(esk1_0,esk2_0),u1_struct_0(esk1_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_47]),c_0_23]) ).
cnf(c_0_49,negated_conjecture,
( v1_group_3(esk2_0,esk1_0)
| r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk27_2(esk1_0,esk2_0),esk26_2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_41,c_0_48]) ).
cnf(c_0_50,negated_conjecture,
v1_group_3(esk2_0,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_49]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_13]) ).
cnf(c_0_51,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_50])]) ).
cnf(c_0_52,negated_conjecture,
( r1_rlvect_1(esk2_0,k2_group_3(X1,esk4_0,X2))
| v3_struct_0(X1)
| ~ v1_group_3(esk2_0,X1)
| ~ m1_subset_1(esk4_0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_group_2(esk2_0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_51]) ).
cnf(c_0_53,negated_conjecture,
~ r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk4_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_50])]) ).
cnf(c_0_54,negated_conjecture,
( r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk4_0,X1))
| ~ m1_subset_1(X1,u1_struct_0(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_33]),c_0_50]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_13]) ).
cnf(c_0_55,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_46])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP618+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n021.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 22:44:58 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 10.03/10.13 % Version : CSE_E---1.5
% 10.03/10.13 % Problem : theBenchmark.p
% 10.03/10.13 % Proof found
% 10.03/10.13 % SZS status Theorem for theBenchmark.p
% 10.03/10.13 % SZS output start Proof
% See solution above
% 10.03/10.14 % Total time : 9.544000 s
% 10.03/10.14 % SZS output end Proof
% 10.03/10.14 % Total time : 9.548000 s
%------------------------------------------------------------------------------