TSTP Solution File: GRP623+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP623+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 : n031.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 00:21:55 EDT 2023
% Result : Theorem 0.19s 0.66s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 63
% Syntax : Number of formulae : 115 ( 14 unt; 52 typ; 0 def)
% Number of atoms : 209 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 233 ( 87 ~; 76 |; 47 &)
% ( 3 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 63 ( 37 >; 26 *; 0 +; 0 <<)
% Number of predicates : 22 ( 21 usr; 1 prp; 0-4 aty)
% Number of functors : 31 ( 31 usr; 15 con; 0-3 aty)
% Number of variables : 91 ( 2 sgn; 56 !; 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,
k4_autgroup: $i > $i ).
tff(decl_28,type,
k1_autgroup: $i > $i ).
tff(decl_29,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_30,type,
u1_struct_0: $i > $i ).
tff(decl_31,type,
u1_group_1: $i > $i ).
tff(decl_32,type,
g1_group_1: ( $i * $i ) > $i ).
tff(decl_33,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_34,type,
v1_fraenkel: $i > $o ).
tff(decl_35,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_36,type,
v1_relat_1: $i > $o ).
tff(decl_37,type,
v1_funct_1: $i > $o ).
tff(decl_38,type,
v1_xboole_0: $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,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_42,type,
v2_group_1: $i > $o ).
tff(decl_43,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_44,type,
k1_zfmisc_1: $i > $i ).
tff(decl_45,type,
v2_funct_1: $i > $o ).
tff(decl_46,type,
m1_fraenkel: ( $i * $i * $i ) > $o ).
tff(decl_47,type,
l1_struct_0: $i > $o ).
tff(decl_48,type,
m2_fraenkel: ( $i * $i * $i * $i ) > $o ).
tff(decl_49,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_50,type,
k1_xboole_0: $i ).
tff(decl_51,type,
esk1_0: $i ).
tff(decl_52,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_53,type,
esk3_0: $i ).
tff(decl_54,type,
esk4_0: $i ).
tff(decl_55,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_56,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_57,type,
esk7_1: $i > $i ).
tff(decl_58,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_59,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk10_0: $i ).
tff(decl_61,type,
esk11_0: $i ).
tff(decl_62,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk13_0: $i ).
tff(decl_64,type,
esk14_0: $i ).
tff(decl_65,type,
esk15_0: $i ).
tff(decl_66,type,
esk16_0: $i ).
tff(decl_67,type,
esk17_0: $i ).
tff(decl_68,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk19_0: $i ).
tff(decl_70,type,
esk20_0: $i ).
tff(decl_71,type,
esk21_0: $i ).
tff(decl_72,type,
esk22_0: $i ).
tff(decl_73,type,
esk23_1: $i > $i ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(dt_k4_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_autgroup) ).
fof(t14_autgroup,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> r1_tarski(k4_autgroup(X1),k1_autgroup(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_autgroup) ).
fof(dt_l1_group_1,axiom,
! [X1] :
( l1_group_1(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(redefinition_m2_fraenkel,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
<=> m1_subset_1(X4,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
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/sandbox2/benchmark/theBenchmark.p',t13_autgroup) ).
fof(dt_k1_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( r1_tarski(X1,X2)
<=> ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(dt_m1_fraenkel,axiom,
! [X1,X2,X3] :
( m1_fraenkel(X3,X1,X2)
=> ( ~ v1_xboole_0(X3)
& v1_fraenkel(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(c_0_11,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
fof(c_0_12,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k4_autgroup]) ).
fof(c_0_13,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> r1_tarski(k4_autgroup(X1),k1_autgroup(X1)) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t14_autgroup])]) ).
fof(c_0_14,plain,
! [X67] :
( v3_struct_0(X67)
| ~ l1_struct_0(X67)
| ~ v1_xboole_0(u1_struct_0(X67)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).
fof(c_0_15,plain,
! [X36] :
( ~ l1_group_1(X36)
| l1_struct_0(X36) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_group_1])]) ).
fof(c_0_16,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
<=> m1_subset_1(X4,X3) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m2_fraenkel]) ).
fof(c_0_17,plain,
! [X35] :
( v3_struct_0(X35)
| ~ v1_group_1(X35)
| ~ v3_group_1(X35)
| ~ v4_group_1(X35)
| ~ l1_group_1(X35)
| m1_fraenkel(k4_autgroup(X35),u1_struct_0(X35),u1_struct_0(X35)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).
fof(c_0_18,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)
& ~ r1_tarski(k4_autgroup(esk1_0),k1_autgroup(esk1_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
cnf(c_0_19,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_21,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]) ).
fof(c_0_22,plain,
! [X91,X92,X93,X94] :
( ( ~ m2_fraenkel(X94,X91,X92,X93)
| m1_subset_1(X94,X93)
| v1_xboole_0(X92)
| ~ m1_fraenkel(X93,X91,X92) )
& ( ~ m1_subset_1(X94,X93)
| m2_fraenkel(X94,X91,X92,X93)
| v1_xboole_0(X92)
| ~ m1_fraenkel(X93,X91,X92) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
cnf(c_0_23,plain,
( v3_struct_0(X1)
| m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_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_17]) ).
cnf(c_0_24,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_30,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k1_autgroup]) ).
fof(c_0_31,plain,
! [X26,X27,X28,X29,X30] :
( ( ~ r1_tarski(X26,X27)
| ~ r2_hidden(X28,X26)
| r2_hidden(X28,X27) )
& ( r2_hidden(esk2_2(X29,X30),X29)
| r1_tarski(X29,X30) )
& ( ~ r2_hidden(esk2_2(X29,X30),X30)
| r1_tarski(X29,X30) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])]) ).
fof(c_0_32,plain,
! [X99,X100] :
( v3_struct_0(X99)
| ~ v1_group_1(X99)
| ~ v3_group_1(X99)
| ~ v4_group_1(X99)
| ~ l1_group_1(X99)
| ~ m2_fraenkel(X100,u1_struct_0(X99),u1_struct_0(X99),k4_autgroup(X99))
| m2_fraenkel(X100,u1_struct_0(X99),u1_struct_0(X99),k1_autgroup(X99)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
cnf(c_0_33,plain,
( m2_fraenkel(X1,X3,X4,X2)
| v1_xboole_0(X4)
| ~ m1_subset_1(X1,X2)
| ~ m1_fraenkel(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34,negated_conjecture,
m1_fraenkel(k4_autgroup(esk1_0),u1_struct_0(esk1_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(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26]),c_0_27])]),c_0_28]) ).
cnf(c_0_35,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_24])]) ).
fof(c_0_36,plain,
! [X34] :
( v3_struct_0(X34)
| ~ v1_group_1(X34)
| ~ v3_group_1(X34)
| ~ v4_group_1(X34)
| ~ l1_group_1(X34)
| m1_fraenkel(k1_autgroup(X34),u1_struct_0(X34),u1_struct_0(X34)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])]) ).
fof(c_0_37,plain,
! [X1,X2,X3] :
( m1_fraenkel(X3,X1,X2)
=> ( ~ v1_xboole_0(X3)
& v1_fraenkel(X3) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_fraenkel]) ).
cnf(c_0_38,negated_conjecture,
~ r1_tarski(k4_autgroup(esk1_0),k1_autgroup(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_39,plain,
( r2_hidden(esk2_2(X1,X2),X1)
| r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,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_32]) ).
cnf(c_0_41,negated_conjecture,
( m2_fraenkel(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_autgroup(esk1_0))
| ~ m1_subset_1(X1,k4_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_42,plain,
( v3_struct_0(X1)
| m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_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_36]) ).
fof(c_0_43,plain,
! [X37,X38,X39] :
( ( ~ v1_xboole_0(X39)
| ~ m1_fraenkel(X39,X37,X38) )
& ( v1_fraenkel(X39)
| ~ m1_fraenkel(X39,X37,X38) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])]) ).
cnf(c_0_44,plain,
( r2_hidden(X3,X2)
| ~ r1_tarski(X1,X2)
| ~ r2_hidden(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_45,negated_conjecture,
r2_hidden(esk2_2(k4_autgroup(esk1_0),k1_autgroup(esk1_0)),k4_autgroup(esk1_0)),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_46,plain,
! [X103,X104] :
( ~ m1_subset_1(X103,X104)
| v1_xboole_0(X104)
| r2_hidden(X103,X104) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_47,plain,
( m1_subset_1(X1,X4)
| v1_xboole_0(X3)
| ~ m2_fraenkel(X1,X2,X3,X4)
| ~ m1_fraenkel(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_48,negated_conjecture,
( m2_fraenkel(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0))
| ~ m1_subset_1(X1,k4_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_41]),c_0_24]),c_0_25]),c_0_26]),c_0_27])]),c_0_28]) ).
cnf(c_0_49,negated_conjecture,
m1_fraenkel(k1_autgroup(esk1_0),u1_struct_0(esk1_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(spm,[status(thm)],[c_0_42,c_0_24]),c_0_25]),c_0_26]),c_0_27])]),c_0_28]) ).
cnf(c_0_50,plain,
( ~ v1_xboole_0(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_51,plain,
! [X101,X102] :
( ~ r2_hidden(X101,X102)
| m1_subset_1(X101,X102) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_52,negated_conjecture,
( r2_hidden(esk2_2(k4_autgroup(esk1_0),k1_autgroup(esk1_0)),X1)
| ~ r1_tarski(k4_autgroup(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_53,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_54,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_55,negated_conjecture,
( m1_subset_1(X1,k1_autgroup(esk1_0))
| ~ m1_subset_1(X1,k4_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]),c_0_35]) ).
cnf(c_0_56,negated_conjecture,
~ v1_xboole_0(k1_autgroup(esk1_0)),
inference(spm,[status(thm)],[c_0_50,c_0_49]) ).
cnf(c_0_57,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_58,negated_conjecture,
( r2_hidden(esk2_2(k4_autgroup(esk1_0),k1_autgroup(esk1_0)),X1)
| ~ r2_hidden(esk2_2(k4_autgroup(esk1_0),X1),X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_59,negated_conjecture,
( r2_hidden(X1,k1_autgroup(esk1_0))
| ~ m1_subset_1(X1,k4_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_60,negated_conjecture,
m1_subset_1(esk2_2(k4_autgroup(esk1_0),k1_autgroup(esk1_0)),k4_autgroup(esk1_0)),
inference(spm,[status(thm)],[c_0_57,c_0_45]) ).
cnf(c_0_61,negated_conjecture,
~ r2_hidden(esk2_2(k4_autgroup(esk1_0),k1_autgroup(esk1_0)),k1_autgroup(esk1_0)),
inference(spm,[status(thm)],[c_0_38,c_0_53]) ).
cnf(c_0_62,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]),c_0_61]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.20 % Problem : GRP623+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.21 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.40 % Computer : n031.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8042.1875MB
% 0.15/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Tue Aug 29 00:13:26 EDT 2023
% 0.15/0.40 % CPUTime :
% 0.19/0.63 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
% 0.19/0.66 % Total time : 0.022000 s
% 0.19/0.66 % SZS output end Proof
% 0.19/0.66 % Total time : 0.026000 s
%------------------------------------------------------------------------------