TSTP Solution File: SEU413+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU413+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 : n012.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 16:25:48 EDT 2023
% Result : Theorem 4.12s 4.24s
% Output : CNFRefutation 4.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 36
% Syntax : Number of formulae : 59 ( 12 unt; 32 typ; 0 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 112 ( 38 ~; 35 |; 21 &)
% ( 1 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 40 ( 23 >; 17 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 9 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn; 26 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
l1_orders_2: $i > $o ).
tff(decl_23,type,
k1_latsum_1: ( $i * $i ) > $i ).
tff(decl_24,type,
u1_struct_0: $i > $i ).
tff(decl_25,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_26,type,
k3_xboole_0: ( $i * $i ) > $i ).
tff(decl_27,type,
v12_waybel_0: ( $i * $i ) > $o ).
tff(decl_28,type,
k1_zfmisc_1: $i > $i ).
tff(decl_29,type,
r1_orders_2: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_31,type,
v1_orders_2: $i > $o ).
tff(decl_32,type,
u1_orders_2: $i > $i ).
tff(decl_33,type,
g1_orders_2: ( $i * $i ) > $i ).
tff(decl_34,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_35,type,
v1_relat_1: $i > $o ).
tff(decl_36,type,
k4_tarski: ( $i * $i ) > $i ).
tff(decl_37,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_38,type,
l1_struct_0: $i > $o ).
tff(decl_39,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_40,type,
k1_xboole_0: $i ).
tff(decl_41,type,
v1_xboole_0: $i > $o ).
tff(decl_42,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_43,type,
esk1_0: $i ).
tff(decl_44,type,
esk2_0: $i ).
tff(decl_45,type,
esk3_0: $i ).
tff(decl_46,type,
esk4_0: $i ).
tff(decl_47,type,
esk5_0: $i ).
tff(decl_48,type,
esk6_0: $i ).
tff(decl_49,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_50,type,
esk8_1: $i > $i ).
tff(decl_51,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_52,type,
esk10_0: $i ).
tff(decl_53,type,
esk11_0: $i ).
fof(t23_latsum_1,conjecture,
! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( l1_orders_2(X2)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X1,X2)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k1_latsum_1(X1,X2)))
=> ( ( v12_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2)
& m1_subset_1(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X2)))
& r1_orders_2(k1_latsum_1(X1,X2),X3,X4)
& r2_hidden(X4,u1_struct_0(X1)) )
=> r2_hidden(X3,u1_struct_0(X1)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_latsum_1) ).
fof(dt_k1_latsum_1,axiom,
! [X1,X2] :
( ( l1_orders_2(X1)
& l1_orders_2(X2) )
=> ( v1_orders_2(k1_latsum_1(X1,X2))
& l1_orders_2(k1_latsum_1(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsum_1) ).
fof(d9_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r1_orders_2(X1,X2,X3)
<=> r2_hidden(k4_tarski(X2,X3),u1_orders_2(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_orders_2) ).
fof(t21_latsum_1,axiom,
! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( l1_orders_2(X2)
=> ! [X3,X4] :
( ( v12_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2)
& m1_subset_1(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X2)))
& r2_hidden(k4_tarski(X3,X4),u1_orders_2(k1_latsum_1(X1,X2)))
& r2_hidden(X4,u1_struct_0(X1)) )
=> r2_hidden(X3,u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_latsum_1) ).
fof(c_0_4,negated_conjecture,
~ ! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( l1_orders_2(X2)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X1,X2)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k1_latsum_1(X1,X2)))
=> ( ( v12_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2)
& m1_subset_1(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X2)))
& r1_orders_2(k1_latsum_1(X1,X2),X3,X4)
& r2_hidden(X4,u1_struct_0(X1)) )
=> r2_hidden(X3,u1_struct_0(X1)) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t23_latsum_1]) ).
fof(c_0_5,plain,
! [X22,X23] :
( ( v1_orders_2(k1_latsum_1(X22,X23))
| ~ l1_orders_2(X22)
| ~ l1_orders_2(X23) )
& ( l1_orders_2(k1_latsum_1(X22,X23))
| ~ l1_orders_2(X22)
| ~ l1_orders_2(X23) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_latsum_1])])]) ).
fof(c_0_6,negated_conjecture,
( l1_orders_2(esk1_0)
& l1_orders_2(esk2_0)
& m1_subset_1(esk3_0,u1_struct_0(k1_latsum_1(esk1_0,esk2_0)))
& m1_subset_1(esk4_0,u1_struct_0(k1_latsum_1(esk1_0,esk2_0)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0)),esk2_0)
& m1_subset_1(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0)),k1_zfmisc_1(u1_struct_0(esk2_0)))
& r1_orders_2(k1_latsum_1(esk1_0,esk2_0),esk3_0,esk4_0)
& r2_hidden(esk4_0,u1_struct_0(esk1_0))
& ~ r2_hidden(esk3_0,u1_struct_0(esk1_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
cnf(c_0_7,plain,
( l1_orders_2(k1_latsum_1(X1,X2))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X17,X18,X19] :
( ( ~ r1_orders_2(X17,X18,X19)
| r2_hidden(k4_tarski(X18,X19),u1_orders_2(X17))
| ~ m1_subset_1(X19,u1_struct_0(X17))
| ~ m1_subset_1(X18,u1_struct_0(X17))
| ~ l1_orders_2(X17) )
& ( ~ r2_hidden(k4_tarski(X18,X19),u1_orders_2(X17))
| r1_orders_2(X17,X18,X19)
| ~ m1_subset_1(X19,u1_struct_0(X17))
| ~ m1_subset_1(X18,u1_struct_0(X17))
| ~ l1_orders_2(X17) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_orders_2])])])]) ).
cnf(c_0_10,negated_conjecture,
( l1_orders_2(k1_latsum_1(X1,esk2_0))
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_12,plain,
! [X52,X53,X54,X55] :
( ~ l1_orders_2(X52)
| ~ l1_orders_2(X53)
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X52),u1_struct_0(X53)),X53)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X52),u1_struct_0(X53)),k1_zfmisc_1(u1_struct_0(X53)))
| ~ r2_hidden(k4_tarski(X54,X55),u1_orders_2(k1_latsum_1(X52,X53)))
| ~ r2_hidden(X55,u1_struct_0(X52))
| r2_hidden(X54,u1_struct_0(X52)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t21_latsum_1])])]) ).
cnf(c_0_13,plain,
( r2_hidden(k4_tarski(X2,X3),u1_orders_2(X1))
| ~ r1_orders_2(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(k1_latsum_1(esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
l1_orders_2(k1_latsum_1(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
( r2_hidden(X3,u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X2)))
| ~ r2_hidden(k4_tarski(X3,X4),u1_orders_2(k1_latsum_1(X1,X2)))
| ~ r2_hidden(X4,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
m1_subset_1(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0)),k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,negated_conjecture,
v12_waybel_0(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0)),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,negated_conjecture,
( r2_hidden(k4_tarski(X1,esk4_0),u1_orders_2(k1_latsum_1(esk1_0,esk2_0)))
| ~ r1_orders_2(k1_latsum_1(esk1_0,esk2_0),X1,esk4_0)
| ~ m1_subset_1(X1,u1_struct_0(k1_latsum_1(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_20,negated_conjecture,
r1_orders_2(k1_latsum_1(esk1_0,esk2_0),esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(k1_latsum_1(esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,negated_conjecture,
( r2_hidden(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(k4_tarski(X1,X2),u1_orders_2(k1_latsum_1(esk1_0,esk2_0)))
| ~ r2_hidden(X2,u1_struct_0(esk1_0)) ),
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_18]),c_0_8]),c_0_11])]) ).
cnf(c_0_23,negated_conjecture,
r2_hidden(k4_tarski(esk3_0,esk4_0),u1_orders_2(k1_latsum_1(esk1_0,esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_24,negated_conjecture,
r2_hidden(esk4_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_25,negated_conjecture,
~ r2_hidden(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU413+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.18/0.34 % Computer : n012.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Wed Aug 23 18:32:57 EDT 2023
% 0.18/0.34 % CPUTime :
% 0.21/0.55 start to proof: theBenchmark
% 4.12/4.24 % Version : CSE_E---1.5
% 4.12/4.24 % Problem : theBenchmark.p
% 4.12/4.24 % Proof found
% 4.12/4.24 % SZS status Theorem for theBenchmark.p
% 4.12/4.24 % SZS output start Proof
% See solution above
% 4.12/4.24 % Total time : 3.675000 s
% 4.12/4.24 % SZS output end Proof
% 4.22/4.24 % Total time : 3.679000 s
%------------------------------------------------------------------------------