TSTP Solution File: GRP643+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP643+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 : n013.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 00:22:24 EDT 2023
% Result : Theorem 0.19s 0.65s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 50
% Syntax : Number of formulae : 81 ( 14 unt; 46 typ; 0 def)
% Number of atoms : 184 ( 0 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 230 ( 81 ~; 76 |; 43 &)
% ( 2 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 58 ( 36 >; 22 *; 0 +; 0 <<)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 10 con; 0-3 aty)
% Number of variables : 59 ( 0 sgn; 38 !; 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,
u1_struct_0: $i > $i ).
tff(decl_29,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_30,type,
k1_latsubgr: $i > $i ).
tff(decl_31,type,
k1_funct_1: ( $i * $i ) > $i ).
tff(decl_32,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_33,type,
k1_group_1: ( $i * $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,
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,
v1_relat_1: $i > $o ).
tff(decl_43,type,
v1_xboole_0: $i > $o ).
tff(decl_44,type,
k1_group_3: $i > $i ).
tff(decl_45,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_46,type,
l1_struct_0: $i > $o ).
tff(decl_47,type,
k1_xboole_0: $i ).
tff(decl_48,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_49,type,
r1_rlvect_1: ( $i * $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_1: $i > $i ).
tff(decl_57,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk9_1: $i > $i ).
tff(decl_59,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk12_1: $i > $i ).
tff(decl_62,type,
esk13_0: $i ).
tff(decl_63,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk15_1: $i > $i ).
tff(decl_65,type,
esk16_0: $i ).
tff(decl_66,type,
esk17_0: $i ).
tff(decl_67,type,
esk18_1: $i > $i ).
fof(dt_k1_group_1,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_group_1(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> m1_subset_1(k1_group_1(X1,X2,X3),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_group_1) ).
fof(t21_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] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
& r2_hidden(X4,k1_funct_1(k1_latsubgr(X1),X2)) )
=> r2_hidden(k1_group_1(X1,X3,X4),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_latsubgr) ).
fof(t18_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] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
<=> r1_rlvect_1(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_latsubgr) ).
fof(t59_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_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_group_2(X4,X1)
=> ( ( r1_rlvect_1(X4,X2)
& r1_rlvect_1(X4,X3) )
=> r1_rlvect_1(X4,k1_group_1(X1,X2,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t59_group_2) ).
fof(c_0_4,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_group_1(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> m1_subset_1(k1_group_1(X1,X2,X3),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k1_group_1]) ).
fof(c_0_5,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] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
& r2_hidden(X4,k1_funct_1(k1_latsubgr(X1),X2)) )
=> r2_hidden(k1_group_1(X1,X3,X4),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t21_latsubgr])]) ).
fof(c_0_6,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] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
<=> r1_rlvect_1(X2,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[t18_latsubgr]) ).
fof(c_0_7,plain,
! [X26,X27,X28] :
( v3_struct_0(X26)
| ~ l1_group_1(X26)
| ~ m1_subset_1(X27,u1_struct_0(X26))
| ~ m1_subset_1(X28,u1_struct_0(X26))
| m1_subset_1(k1_group_1(X26,X27,X28),u1_struct_0(X26)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).
fof(c_0_8,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)
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& m1_subset_1(esk4_0,u1_struct_0(esk1_0))
& r2_hidden(esk3_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0))
& r2_hidden(esk4_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0))
& ~ r2_hidden(k1_group_1(esk1_0,esk3_0,esk4_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
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,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_group_2(X4,X1)
=> ( ( r1_rlvect_1(X4,X2)
& r1_rlvect_1(X4,X3) )
=> r1_rlvect_1(X4,k1_group_1(X1,X2,X3)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t59_group_2]) ).
fof(c_0_10,plain,
! [X77,X78,X79] :
( ( ~ r2_hidden(X79,k1_funct_1(k1_latsubgr(X77),X78))
| r1_rlvect_1(X78,X79)
| ~ m1_subset_1(X79,u1_struct_0(X77))
| ~ v1_group_1(X78)
| ~ m1_group_2(X78,X77)
| v3_struct_0(X77)
| ~ v3_group_1(X77)
| ~ v4_group_1(X77)
| ~ l1_group_1(X77) )
& ( ~ r1_rlvect_1(X78,X79)
| r2_hidden(X79,k1_funct_1(k1_latsubgr(X77),X78))
| ~ m1_subset_1(X79,u1_struct_0(X77))
| ~ v1_group_1(X78)
| ~ m1_group_2(X78,X77)
| v3_struct_0(X77)
| ~ v3_group_1(X77)
| ~ v4_group_1(X77)
| ~ l1_group_1(X77) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
cnf(c_0_11,plain,
( v3_struct_0(X1)
| m1_subset_1(k1_group_1(X1,X2,X3),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_15,plain,
! [X89,X90,X91,X92] :
( v3_struct_0(X89)
| ~ v3_group_1(X89)
| ~ v4_group_1(X89)
| ~ l1_group_1(X89)
| ~ m1_subset_1(X90,u1_struct_0(X89))
| ~ m1_subset_1(X91,u1_struct_0(X89))
| ~ m1_group_2(X92,X89)
| ~ r1_rlvect_1(X92,X90)
| ~ r1_rlvect_1(X92,X91)
| r1_rlvect_1(X92,k1_group_1(X89,X90,X91)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
cnf(c_0_16,plain,
( r2_hidden(X2,k1_funct_1(k1_latsubgr(X3),X1))
| v3_struct_0(X3)
| ~ r1_rlvect_1(X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
( m1_subset_1(k1_group_1(esk1_0,X1,esk4_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),c_0_14]) ).
cnf(c_0_18,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_19,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X4,k1_group_1(X1,X2,X3))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_group_2(X4,X1)
| ~ r1_rlvect_1(X4,X2)
| ~ r1_rlvect_1(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( r2_hidden(k1_group_1(esk1_0,X1,esk4_0),k1_funct_1(k1_latsubgr(esk1_0),X2))
| ~ r1_rlvect_1(X2,k1_group_1(esk1_0,X1,esk4_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_group_2(X2,esk1_0)
| ~ v1_group_1(X2) ),
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_16,c_0_17]),c_0_13]),c_0_18]),c_0_19])]),c_0_14]) ).
cnf(c_0_22,negated_conjecture,
( r1_rlvect_1(X1,k1_group_1(esk1_0,X2,esk4_0))
| ~ r1_rlvect_1(X1,esk4_0)
| ~ r1_rlvect_1(X1,X2)
| ~ m1_subset_1(X2,u1_struct_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_20,c_0_12]),c_0_13]),c_0_18]),c_0_19])]),c_0_14]) ).
cnf(c_0_23,negated_conjecture,
( r2_hidden(k1_group_1(esk1_0,X1,esk4_0),k1_funct_1(k1_latsubgr(esk1_0),X2))
| ~ r1_rlvect_1(X2,esk4_0)
| ~ r1_rlvect_1(X2,X1)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_group_2(X2,esk1_0)
| ~ v1_group_1(X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_25,plain,
( r1_rlvect_1(X3,X1)
| v3_struct_0(X2)
| ~ r2_hidden(X1,k1_funct_1(k1_latsubgr(X2),X3))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_26,negated_conjecture,
r2_hidden(esk4_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_28,negated_conjecture,
v1_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_29,negated_conjecture,
r2_hidden(esk3_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_30,negated_conjecture,
( r2_hidden(k1_group_1(esk1_0,esk3_0,esk4_0),k1_funct_1(k1_latsubgr(esk1_0),X1))
| ~ r1_rlvect_1(X1,esk4_0)
| ~ r1_rlvect_1(X1,esk3_0)
| ~ m1_group_2(X1,esk1_0)
| ~ v1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,negated_conjecture,
r1_rlvect_1(esk2_0,esk4_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_25,c_0_26]),c_0_12]),c_0_27]),c_0_28]),c_0_13]),c_0_18]),c_0_19])]),c_0_14]) ).
cnf(c_0_32,negated_conjecture,
r1_rlvect_1(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_29]),c_0_24]),c_0_27]),c_0_28]),c_0_13]),c_0_18]),c_0_19])]),c_0_14]) ).
cnf(c_0_33,negated_conjecture,
~ r2_hidden(k1_group_1(esk1_0,esk3_0,esk4_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_34,negated_conjecture,
$false,
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_31]),c_0_32]),c_0_27]),c_0_28])]),c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP643+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 22:15:31 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.19/0.65 % Version : CSE_E---1.5
% 0.19/0.65 % Problem : theBenchmark.p
% 0.19/0.65 % Proof found
% 0.19/0.65 % SZS status Theorem for theBenchmark.p
% 0.19/0.65 % SZS output start Proof
% See solution above
% 0.19/0.65 % Total time : 0.091000 s
% 0.19/0.65 % SZS output end Proof
% 0.19/0.65 % Total time : 0.095000 s
%------------------------------------------------------------------------------