TSTP Solution File: LAT300+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT300+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 : n010.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 06:00:54 EDT 2023
% Result : Theorem 0.20s 0.58s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 49
% Syntax : Number of formulae : 87 ( 13 unt; 40 typ; 0 def)
% Number of atoms : 170 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 193 ( 70 ~; 64 |; 37 &)
% ( 2 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 38 ( 30 >; 8 *; 0 +; 0 <<)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-2 aty)
% Number of variables : 71 ( 1 sgn; 46 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v3_struct_0: $i > $o ).
tff(decl_23,type,
v10_lattices: $i > $o ).
tff(decl_24,type,
l3_lattices: $i > $o ).
tff(decl_25,type,
m2_filter_2: ( $i * $i ) > $o ).
tff(decl_26,type,
u1_struct_0: $i > $i ).
tff(decl_27,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_28,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_29,type,
v1_xboole_0: $i > $o ).
tff(decl_30,type,
v1_funct_1: $i > $o ).
tff(decl_31,type,
v4_lattices: $i > $o ).
tff(decl_32,type,
v5_lattices: $i > $o ).
tff(decl_33,type,
v6_lattices: $i > $o ).
tff(decl_34,type,
v7_lattices: $i > $o ).
tff(decl_35,type,
v8_lattices: $i > $o ).
tff(decl_36,type,
v9_lattices: $i > $o ).
tff(decl_37,type,
l1_lattices: $i > $o ).
tff(decl_38,type,
l1_struct_0: $i > $o ).
tff(decl_39,type,
l2_lattices: $i > $o ).
tff(decl_40,type,
k1_zfmisc_1: $i > $i ).
tff(decl_41,type,
m1_struct_0: ( $i * $i * $i ) > $o ).
tff(decl_42,type,
m2_lattice4: ( $i * $i ) > $o ).
tff(decl_43,type,
k1_xboole_0: $i ).
tff(decl_44,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_45,type,
esk1_0: $i ).
tff(decl_46,type,
esk2_0: $i ).
tff(decl_47,type,
esk3_0: $i ).
tff(decl_48,type,
esk4_0: $i ).
tff(decl_49,type,
esk5_0: $i ).
tff(decl_50,type,
esk6_0: $i ).
tff(decl_51,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_52,type,
esk8_1: $i > $i ).
tff(decl_53,type,
esk9_1: $i > $i ).
tff(decl_54,type,
esk10_1: $i > $i ).
tff(decl_55,type,
esk11_1: $i > $i ).
tff(decl_56,type,
esk12_1: $i > $i ).
tff(decl_57,type,
esk13_0: $i ).
tff(decl_58,type,
esk14_1: $i > $i ).
tff(decl_59,type,
esk15_0: $i ).
tff(decl_60,type,
esk16_0: $i ).
tff(decl_61,type,
esk17_1: $i > $i ).
fof(dt_m2_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(t24_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& r2_hidden(X3,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_filter_2) ).
fof(dt_m2_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(redefinition_m1_struct_0,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( m1_struct_0(X3,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_struct_0) ).
fof(dt_l1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(existence_m1_struct_0,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ? [X3] : m1_struct_0(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_struct_0) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
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(c_0_9,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_filter_2]) ).
fof(c_0_10,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& r2_hidden(X3,X2) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t24_filter_2])]) ).
fof(c_0_11,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_lattice4]) ).
fof(c_0_12,plain,
! [X18,X19] :
( ( ~ v1_xboole_0(X19)
| ~ m2_filter_2(X19,X18)
| v3_struct_0(X18)
| ~ v10_lattices(X18)
| ~ l3_lattices(X18) )
& ( m2_lattice4(X19,X18)
| ~ m2_filter_2(X19,X18)
| v3_struct_0(X18)
| ~ v10_lattices(X18)
| ~ l3_lattices(X18) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
fof(c_0_13,negated_conjecture,
! [X6] :
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& m2_filter_2(esk2_0,esk1_0)
& ( ~ m1_subset_1(X6,u1_struct_0(esk1_0))
| ~ r2_hidden(X6,esk2_0) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
fof(c_0_14,plain,
! [X14] :
( ( l1_lattices(X14)
| ~ l3_lattices(X14) )
& ( l2_lattices(X14)
| ~ l3_lattices(X14) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).
fof(c_0_15,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( m1_struct_0(X3,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m1_struct_0]) ).
fof(c_0_16,plain,
! [X20,X21] :
( v3_struct_0(X20)
| ~ v10_lattices(X20)
| ~ l3_lattices(X20)
| ~ m2_lattice4(X21,X20)
| m1_subset_1(X21,k1_zfmisc_1(u1_struct_0(X20))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
cnf(c_0_17,plain,
( m2_lattice4(X1,X2)
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_22,plain,
! [X12] :
( ~ l1_lattices(X12)
| l1_struct_0(X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])]) ).
cnf(c_0_23,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_24,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ? [X3] : m1_struct_0(X3,X1,X2) ),
inference(fof_simplification,[status(thm)],[existence_m1_struct_0]) ).
fof(c_0_25,plain,
! [X48,X49,X50] :
( ( ~ m1_struct_0(X50,X48,X49)
| m1_subset_1(X50,X49)
| v3_struct_0(X48)
| ~ l1_struct_0(X48)
| v1_xboole_0(X49)
| ~ m1_subset_1(X49,k1_zfmisc_1(u1_struct_0(X48))) )
& ( ~ m1_subset_1(X50,X49)
| m1_struct_0(X50,X48,X49)
| v3_struct_0(X48)
| ~ l1_struct_0(X48)
| v1_xboole_0(X49)
| ~ m1_subset_1(X49,k1_zfmisc_1(u1_struct_0(X48))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).
cnf(c_0_26,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,negated_conjecture,
m2_lattice4(esk2_0,esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]),c_0_21]) ).
cnf(c_0_28,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,negated_conjecture,
l1_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_23,c_0_19]) ).
cnf(c_0_30,plain,
( v3_struct_0(X2)
| ~ v1_xboole_0(X1)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_31,plain,
! [X26,X27] :
( v3_struct_0(X26)
| ~ l1_struct_0(X26)
| v1_xboole_0(X27)
| ~ m1_subset_1(X27,k1_zfmisc_1(u1_struct_0(X26)))
| m1_struct_0(esk7_2(X26,X27),X26,X27) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
cnf(c_0_32,plain,
( m1_subset_1(X1,X3)
| v3_struct_0(X2)
| v1_xboole_0(X3)
| ~ m1_struct_0(X1,X2,X3)
| ~ l1_struct_0(X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_19]),c_0_20])]),c_0_21]) ).
cnf(c_0_34,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_18]),c_0_19]),c_0_20])]),c_0_21]) ).
cnf(c_0_36,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m1_struct_0(esk7_2(X1,X2),X1,X2)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_37,plain,
! [X58,X59,X60] :
( ~ r2_hidden(X58,X59)
| ~ m1_subset_1(X59,k1_zfmisc_1(X60))
| m1_subset_1(X58,X60) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(c_0_38,plain,
! [X54,X55] :
( ~ m1_subset_1(X54,X55)
| v1_xboole_0(X55)
| r2_hidden(X54,X55) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_39,negated_conjecture,
( m1_subset_1(X1,esk2_0)
| ~ m1_struct_0(X1,esk1_0,esk2_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]),c_0_35]),c_0_21]) ).
cnf(c_0_40,negated_conjecture,
m1_struct_0(esk7_2(esk1_0,esk2_0),esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_33]),c_0_34])]),c_0_35]),c_0_21]) ).
cnf(c_0_41,plain,
( m1_subset_1(X1,X3)
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_42,negated_conjecture,
( ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_43,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,negated_conjecture,
m1_subset_1(esk7_2(esk1_0,esk2_0),esk2_0),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,negated_conjecture,
~ r2_hidden(X1,esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_33]),c_0_42]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_35]),c_0_45]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT300+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n010.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
% 0.19/0.33 % CPULimit : 300
% 0.19/0.33 % WCLimit : 300
% 0.19/0.33 % DateTime : Thu Aug 24 06:43:06 EDT 2023
% 0.19/0.33 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.20/0.58 % Version : CSE_E---1.5
% 0.20/0.58 % Problem : theBenchmark.p
% 0.20/0.58 % Proof found
% 0.20/0.58 % SZS status Theorem for theBenchmark.p
% 0.20/0.58 % SZS output start Proof
% See solution above
% 0.20/0.59 % Total time : 0.015000 s
% 0.20/0.59 % SZS output end Proof
% 0.20/0.59 % Total time : 0.018000 s
%------------------------------------------------------------------------------