TSTP Solution File: SEU412+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU412+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 : n020.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 16:25:47 EDT 2023
% Result : Theorem 0.20s 0.73s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 52
% Syntax : Number of formulae : 129 ( 19 unt; 37 typ; 0 def)
% Number of atoms : 321 ( 47 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 391 ( 162 ~; 155 |; 51 &)
% ( 8 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 55 ( 28 >; 27 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 9 con; 0-6 aty)
% Number of variables : 184 ( 20 sgn; 92 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
l1_orders_2: $i > $o ).
tff(decl_23,type,
k4_tarski: ( $i * $i ) > $i ).
tff(decl_24,type,
k1_latsum_1: ( $i * $i ) > $i ).
tff(decl_25,type,
u1_orders_2: $i > $i ).
tff(decl_26,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_27,type,
u1_struct_0: $i > $i ).
tff(decl_28,type,
k3_xboole_0: ( $i * $i ) > $i ).
tff(decl_29,type,
v13_waybel_0: ( $i * $i ) > $o ).
tff(decl_30,type,
k1_zfmisc_1: $i > $i ).
tff(decl_31,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_32,type,
k4_xboole_0: ( $i * $i ) > $i ).
tff(decl_33,type,
v1_orders_2: $i > $o ).
tff(decl_34,type,
g1_orders_2: ( $i * $i ) > $i ).
tff(decl_35,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_36,type,
v1_relat_1: $i > $o ).
tff(decl_37,type,
k2_xboole_0: ( $i * $i ) > $i ).
tff(decl_38,type,
k7_relset_1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_39,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_40,type,
k5_relat_1: ( $i * $i ) > $i ).
tff(decl_41,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_42,type,
l1_struct_0: $i > $o ).
tff(decl_43,type,
k1_xboole_0: $i ).
tff(decl_44,type,
v1_xboole_0: $i > $o ).
tff(decl_45,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_46,type,
esk1_0: $i ).
tff(decl_47,type,
esk2_0: $i ).
tff(decl_48,type,
esk3_0: $i ).
tff(decl_49,type,
esk4_0: $i ).
tff(decl_50,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk7_0: $i ).
tff(decl_53,type,
esk8_0: $i ).
tff(decl_54,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_55,type,
esk10_1: $i > $i ).
tff(decl_56,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_57,type,
esk12_0: $i ).
tff(decl_58,type,
esk13_0: $i ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(dt_u1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> m2_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_orders_2) ).
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/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(t22_latsum_1,conjecture,
! [X1,X2,X3] :
( l1_orders_2(X3)
=> ! [X4] :
( l1_orders_2(X4)
=> ~ ( r2_hidden(k4_tarski(X1,X2),u1_orders_2(k1_latsum_1(X3,X4)))
& v13_waybel_0(k3_xboole_0(u1_struct_0(X3),u1_struct_0(X4)),X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(X3),u1_struct_0(X4)),k1_zfmisc_1(u1_struct_0(X3)))
& ~ ( r2_hidden(X1,u1_struct_0(X3))
& r2_hidden(X2,u1_struct_0(X3)) )
& ~ ( r2_hidden(X1,u1_struct_0(X4))
& r2_hidden(X2,u1_struct_0(X4)) )
& ~ ( r2_hidden(X1,k4_xboole_0(u1_struct_0(X3),u1_struct_0(X4)))
& r2_hidden(X2,k4_xboole_0(u1_struct_0(X4),u1_struct_0(X3))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_latsum_1) ).
fof(d4_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = k4_xboole_0(X1,X2)
<=> ! [X4] :
( r2_hidden(X4,X3)
<=> ( r2_hidden(X4,X1)
& ~ r2_hidden(X4,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(t106_zfmisc_1,axiom,
! [X1,X2,X3,X4] :
( r2_hidden(k4_tarski(X1,X2),k2_zfmisc_1(X3,X4))
<=> ( r2_hidden(X1,X3)
& r2_hidden(X2,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(t3_boole,axiom,
! [X1] : k4_xboole_0(X1,k1_xboole_0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_boole) ).
fof(t4_boole,axiom,
! [X1] : k4_xboole_0(k1_xboole_0,X1) = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_boole) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(d2_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = k2_xboole_0(X1,X2)
<=> ! [X4] :
( r2_hidden(X4,X3)
<=> ( r2_hidden(X4,X1)
| r2_hidden(X4,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(t1_boole,axiom,
! [X1] : k2_xboole_0(X1,k1_xboole_0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_boole) ).
fof(d2_latsum_1,axiom,
! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( l1_orders_2(X2)
=> ! [X3] :
( ( v1_orders_2(X3)
& l1_orders_2(X3) )
=> ( X3 = k1_latsum_1(X1,X2)
<=> ( u1_struct_0(X3) = k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
& u1_orders_2(X3) = k2_xboole_0(k2_xboole_0(u1_orders_2(X1),u1_orders_2(X2)),k7_relset_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X2),u1_orders_2(X1),u1_orders_2(X2))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_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(t17_latsum_1,axiom,
! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( l1_orders_2(X2)
=> ! [X3,X4] :
( ( v13_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X1)))
& r2_hidden(k4_tarski(X3,X4),u1_orders_2(k1_latsum_1(X1,X2)))
& r2_hidden(X3,u1_struct_0(X2)) )
=> r2_hidden(X4,u1_struct_0(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_latsum_1) ).
fof(c_0_15,plain,
! [X55,X56,X57] :
( ~ m2_relset_1(X57,X55,X56)
| m1_subset_1(X57,k1_zfmisc_1(k2_zfmisc_1(X55,X56))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
fof(c_0_16,plain,
! [X58] :
( ~ l1_orders_2(X58)
| m2_relset_1(u1_orders_2(X58),u1_struct_0(X58),u1_struct_0(X58)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_orders_2])]) ).
fof(c_0_17,plain,
! [X109,X110,X111] :
( ~ r2_hidden(X109,X110)
| ~ m1_subset_1(X110,k1_zfmisc_1(X111))
| m1_subset_1(X109,X111) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
cnf(c_0_18,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,plain,
( m2_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_20,negated_conjecture,
~ ! [X1,X2,X3] :
( l1_orders_2(X3)
=> ! [X4] :
( l1_orders_2(X4)
=> ~ ( r2_hidden(k4_tarski(X1,X2),u1_orders_2(k1_latsum_1(X3,X4)))
& v13_waybel_0(k3_xboole_0(u1_struct_0(X3),u1_struct_0(X4)),X3)
& m1_subset_1(k3_xboole_0(u1_struct_0(X3),u1_struct_0(X4)),k1_zfmisc_1(u1_struct_0(X3)))
& ~ ( r2_hidden(X1,u1_struct_0(X3))
& r2_hidden(X2,u1_struct_0(X3)) )
& ~ ( r2_hidden(X1,u1_struct_0(X4))
& r2_hidden(X2,u1_struct_0(X4)) )
& ~ ( r2_hidden(X1,k4_xboole_0(u1_struct_0(X3),u1_struct_0(X4)))
& r2_hidden(X2,k4_xboole_0(u1_struct_0(X4),u1_struct_0(X3))) ) ) ) ),
inference(assume_negation,[status(cth)],[t22_latsum_1]) ).
fof(c_0_21,plain,
! [X1,X2,X3] :
( X3 = k4_xboole_0(X1,X2)
<=> ! [X4] :
( r2_hidden(X4,X3)
<=> ( r2_hidden(X4,X1)
& ~ r2_hidden(X4,X2) ) ) ),
inference(fof_simplification,[status(thm)],[d4_xboole_0]) ).
fof(c_0_22,plain,
! [X91,X92,X93,X94] :
( ( r2_hidden(X91,X93)
| ~ r2_hidden(k4_tarski(X91,X92),k2_zfmisc_1(X93,X94)) )
& ( r2_hidden(X92,X94)
| ~ r2_hidden(k4_tarski(X91,X92),k2_zfmisc_1(X93,X94)) )
& ( ~ r2_hidden(X91,X93)
| ~ r2_hidden(X92,X94)
| r2_hidden(k4_tarski(X91,X92),k2_zfmisc_1(X93,X94)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t106_zfmisc_1])])]) ).
fof(c_0_23,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_24,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_17]) ).
cnf(c_0_25,plain,
( m1_subset_1(u1_orders_2(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_26,negated_conjecture,
( l1_orders_2(esk3_0)
& l1_orders_2(esk4_0)
& r2_hidden(k4_tarski(esk1_0,esk2_0),u1_orders_2(k1_latsum_1(esk3_0,esk4_0)))
& v13_waybel_0(k3_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)),esk3_0)
& m1_subset_1(k3_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)),k1_zfmisc_1(u1_struct_0(esk3_0)))
& ( ~ r2_hidden(esk1_0,u1_struct_0(esk3_0))
| ~ r2_hidden(esk2_0,u1_struct_0(esk3_0)) )
& ( ~ r2_hidden(esk1_0,u1_struct_0(esk4_0))
| ~ r2_hidden(esk2_0,u1_struct_0(esk4_0)) )
& ( ~ r2_hidden(esk1_0,k4_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)))
| ~ r2_hidden(esk2_0,k4_xboole_0(u1_struct_0(esk4_0),u1_struct_0(esk3_0))) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_27,plain,
! [X33,X34,X35,X36,X37,X38,X39,X40] :
( ( r2_hidden(X36,X33)
| ~ r2_hidden(X36,X35)
| X35 != k4_xboole_0(X33,X34) )
& ( ~ r2_hidden(X36,X34)
| ~ r2_hidden(X36,X35)
| X35 != k4_xboole_0(X33,X34) )
& ( ~ r2_hidden(X37,X33)
| r2_hidden(X37,X34)
| r2_hidden(X37,X35)
| X35 != k4_xboole_0(X33,X34) )
& ( ~ r2_hidden(esk6_3(X38,X39,X40),X40)
| ~ r2_hidden(esk6_3(X38,X39,X40),X38)
| r2_hidden(esk6_3(X38,X39,X40),X39)
| X40 = k4_xboole_0(X38,X39) )
& ( r2_hidden(esk6_3(X38,X39,X40),X38)
| r2_hidden(esk6_3(X38,X39,X40),X40)
| X40 = k4_xboole_0(X38,X39) )
& ( ~ r2_hidden(esk6_3(X38,X39,X40),X39)
| r2_hidden(esk6_3(X38,X39,X40),X40)
| X40 = k4_xboole_0(X38,X39) ) ),
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)],[c_0_21])])])])])]) ).
fof(c_0_28,plain,
! [X105] : k4_xboole_0(X105,k1_xboole_0) = X105,
inference(variable_rename,[status(thm)],[t3_boole]) ).
fof(c_0_29,plain,
! [X108] : k4_xboole_0(k1_xboole_0,X108) = k1_xboole_0,
inference(variable_rename,[status(thm)],[t4_boole]) ).
fof(c_0_30,plain,
! [X112,X113,X114] :
( ~ r2_hidden(X112,X113)
| ~ m1_subset_1(X113,k1_zfmisc_1(X114))
| ~ v1_xboole_0(X114) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_31,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(k4_tarski(X3,X1),k2_zfmisc_1(X4,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,plain,
( m1_subset_1(X1,k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)))
| ~ r2_hidden(X1,u1_orders_2(X2))
| ~ l1_orders_2(X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_34,negated_conjecture,
r2_hidden(k4_tarski(esk1_0,esk2_0),u1_orders_2(k1_latsum_1(esk3_0,esk4_0))),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_35,plain,
! [X24,X25,X26,X27,X28,X29,X30,X31] :
( ( ~ r2_hidden(X27,X26)
| r2_hidden(X27,X24)
| r2_hidden(X27,X25)
| X26 != k2_xboole_0(X24,X25) )
& ( ~ r2_hidden(X28,X24)
| r2_hidden(X28,X26)
| X26 != k2_xboole_0(X24,X25) )
& ( ~ r2_hidden(X28,X25)
| r2_hidden(X28,X26)
| X26 != k2_xboole_0(X24,X25) )
& ( ~ r2_hidden(esk5_3(X29,X30,X31),X29)
| ~ r2_hidden(esk5_3(X29,X30,X31),X31)
| X31 = k2_xboole_0(X29,X30) )
& ( ~ r2_hidden(esk5_3(X29,X30,X31),X30)
| ~ r2_hidden(esk5_3(X29,X30,X31),X31)
| X31 = k2_xboole_0(X29,X30) )
& ( r2_hidden(esk5_3(X29,X30,X31),X31)
| r2_hidden(esk5_3(X29,X30,X31),X29)
| r2_hidden(esk5_3(X29,X30,X31),X30)
| X31 = k2_xboole_0(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)],[d2_xboole_0])])])])])]) ).
fof(c_0_36,plain,
! [X99] : k2_xboole_0(X99,k1_xboole_0) = X99,
inference(variable_rename,[status(thm)],[t1_boole]) ).
cnf(c_0_37,plain,
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X1,X3)
| X3 != k4_xboole_0(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_38,plain,
k4_xboole_0(X1,k1_xboole_0) = X1,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,plain,
k4_xboole_0(k1_xboole_0,X1) = k1_xboole_0,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_41,plain,
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| r2_hidden(X3,X2)
| ~ m1_subset_1(k4_tarski(X4,X3),k2_zfmisc_1(X1,X2)) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_42,negated_conjecture,
( m1_subset_1(k4_tarski(esk1_0,esk2_0),k2_zfmisc_1(u1_struct_0(k1_latsum_1(esk3_0,esk4_0)),u1_struct_0(k1_latsum_1(esk3_0,esk4_0))))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_43,plain,
( r2_hidden(X1,X3)
| ~ r2_hidden(X1,X2)
| X3 != k2_xboole_0(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,plain,
k2_xboole_0(X1,k1_xboole_0) = X1,
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,plain,
( ~ r2_hidden(X1,k1_xboole_0)
| ~ r2_hidden(X1,X2) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38])]) ).
cnf(c_0_46,plain,
( X1 != k1_xboole_0
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X2,X3) ),
inference(spm,[status(thm)],[c_0_37,c_0_39]) ).
cnf(c_0_47,plain,
( ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))
| ~ r2_hidden(X2,u1_orders_2(X1))
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_25]) ).
cnf(c_0_48,negated_conjecture,
( v1_xboole_0(k2_zfmisc_1(u1_struct_0(k1_latsum_1(esk3_0,esk4_0)),u1_struct_0(k1_latsum_1(esk3_0,esk4_0))))
| r2_hidden(esk2_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_49,plain,
~ r2_hidden(X1,k1_xboole_0),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44])]),c_0_45]) ).
cnf(c_0_50,plain,
( r2_hidden(esk6_3(X1,X2,X3),X1)
| r2_hidden(esk6_3(X1,X2,X3),X3)
| X3 = k4_xboole_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_51,negated_conjecture,
( u1_orders_2(k1_latsum_1(esk3_0,esk4_0)) != k1_xboole_0
| ~ r2_hidden(k4_tarski(esk1_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_34]) ).
fof(c_0_52,plain,
! [X21,X22,X23] :
( ( u1_struct_0(X23) = k2_xboole_0(u1_struct_0(X21),u1_struct_0(X22))
| X23 != k1_latsum_1(X21,X22)
| ~ v1_orders_2(X23)
| ~ l1_orders_2(X23)
| ~ l1_orders_2(X22)
| ~ l1_orders_2(X21) )
& ( u1_orders_2(X23) = k2_xboole_0(k2_xboole_0(u1_orders_2(X21),u1_orders_2(X22)),k7_relset_1(u1_struct_0(X21),u1_struct_0(X21),u1_struct_0(X22),u1_struct_0(X22),u1_orders_2(X21),u1_orders_2(X22)))
| X23 != k1_latsum_1(X21,X22)
| ~ v1_orders_2(X23)
| ~ l1_orders_2(X23)
| ~ l1_orders_2(X22)
| ~ l1_orders_2(X21) )
& ( u1_struct_0(X23) != k2_xboole_0(u1_struct_0(X21),u1_struct_0(X22))
| u1_orders_2(X23) != k2_xboole_0(k2_xboole_0(u1_orders_2(X21),u1_orders_2(X22)),k7_relset_1(u1_struct_0(X21),u1_struct_0(X21),u1_struct_0(X22),u1_struct_0(X22),u1_orders_2(X21),u1_orders_2(X22)))
| X23 = k1_latsum_1(X21,X22)
| ~ v1_orders_2(X23)
| ~ l1_orders_2(X23)
| ~ l1_orders_2(X22)
| ~ l1_orders_2(X21) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_latsum_1])])])]) ).
fof(c_0_53,plain,
! [X44,X45] :
( ( v1_orders_2(k1_latsum_1(X44,X45))
| ~ l1_orders_2(X44)
| ~ l1_orders_2(X45) )
& ( l1_orders_2(k1_latsum_1(X44,X45))
| ~ l1_orders_2(X44)
| ~ l1_orders_2(X45) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_latsum_1])])]) ).
cnf(c_0_54,negated_conjecture,
( r2_hidden(esk2_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
| ~ r2_hidden(X1,u1_orders_2(k1_latsum_1(esk3_0,esk4_0)))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_55,plain,
( X1 = k1_xboole_0
| r2_hidden(esk6_3(k1_xboole_0,X2,X1),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_39]) ).
cnf(c_0_56,negated_conjecture,
u1_orders_2(k1_latsum_1(esk3_0,esk4_0)) != k1_xboole_0,
inference(spm,[status(thm)],[c_0_51,c_0_34]) ).
cnf(c_0_57,plain,
( u1_struct_0(X1) = k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3))
| X1 != k1_latsum_1(X2,X3)
| ~ v1_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_58,plain,
( l1_orders_2(k1_latsum_1(X1,X2))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_59,plain,
( v1_orders_2(k1_latsum_1(X1,X2))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_60,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(k4_tarski(X1,X3),k2_zfmisc_1(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_61,plain,
( r2_hidden(X1,X3)
| r2_hidden(X1,X4)
| ~ r2_hidden(X1,X2)
| X4 != k4_xboole_0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_62,plain,
( r2_hidden(X1,X3)
| r2_hidden(X1,X4)
| ~ r2_hidden(X1,X2)
| X2 != k2_xboole_0(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_63,negated_conjecture,
( r2_hidden(esk2_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_64,plain,
( u1_struct_0(k1_latsum_1(X1,X2)) = k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_57]),c_0_58]),c_0_59]) ).
cnf(c_0_65,negated_conjecture,
l1_orders_2(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_66,negated_conjecture,
l1_orders_2(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_67,plain,
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| r2_hidden(X3,X1)
| ~ m1_subset_1(k4_tarski(X3,X4),k2_zfmisc_1(X1,X2)) ),
inference(spm,[status(thm)],[c_0_60,c_0_32]) ).
cnf(c_0_68,negated_conjecture,
( ~ r2_hidden(esk1_0,k4_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)))
| ~ r2_hidden(esk2_0,k4_xboole_0(u1_struct_0(esk4_0),u1_struct_0(esk3_0))) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_69,plain,
( r2_hidden(X1,k4_xboole_0(X2,X3))
| r2_hidden(X1,X3)
| ~ r2_hidden(X1,X2) ),
inference(er,[status(thm)],[c_0_61]) ).
cnf(c_0_70,plain,
( r2_hidden(X1,X2)
| r2_hidden(X1,X3)
| ~ r2_hidden(X1,k2_xboole_0(X3,X2)) ),
inference(er,[status(thm)],[c_0_62]) ).
cnf(c_0_71,negated_conjecture,
( r2_hidden(esk2_0,k2_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),c_0_66])]) ).
cnf(c_0_72,negated_conjecture,
( v1_xboole_0(k2_zfmisc_1(u1_struct_0(k1_latsum_1(esk3_0,esk4_0)),u1_struct_0(k1_latsum_1(esk3_0,esk4_0))))
| r2_hidden(esk1_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_67,c_0_42]) ).
cnf(c_0_73,negated_conjecture,
( r2_hidden(esk2_0,u1_struct_0(esk3_0))
| ~ r2_hidden(esk1_0,k4_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)))
| ~ r2_hidden(esk2_0,u1_struct_0(esk4_0)) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,negated_conjecture,
( r2_hidden(esk2_0,u1_struct_0(esk3_0))
| r2_hidden(esk2_0,u1_struct_0(esk4_0))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_75,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,X3)
| X3 != k4_xboole_0(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_76,plain,
! [X95,X96,X97,X98] :
( ~ l1_orders_2(X95)
| ~ l1_orders_2(X96)
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X95),u1_struct_0(X96)),X95)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X95),u1_struct_0(X96)),k1_zfmisc_1(u1_struct_0(X95)))
| ~ r2_hidden(k4_tarski(X97,X98),u1_orders_2(k1_latsum_1(X95,X96)))
| ~ r2_hidden(X97,u1_struct_0(X96))
| r2_hidden(X98,u1_struct_0(X96)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t17_latsum_1])])]) ).
cnf(c_0_77,negated_conjecture,
( r2_hidden(esk1_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
| ~ r2_hidden(X1,u1_orders_2(k1_latsum_1(esk3_0,esk4_0)))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_47,c_0_72]) ).
cnf(c_0_78,negated_conjecture,
( ~ r2_hidden(esk1_0,u1_struct_0(esk3_0))
| ~ r2_hidden(esk2_0,u1_struct_0(esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_79,negated_conjecture,
( r2_hidden(esk2_0,u1_struct_0(esk3_0))
| ~ r2_hidden(esk1_0,k4_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_80,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,k4_xboole_0(X2,X3)) ),
inference(er,[status(thm)],[c_0_75]) ).
cnf(c_0_81,plain,
( r2_hidden(X4,u1_struct_0(X2))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X1)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k4_tarski(X3,X4),u1_orders_2(k1_latsum_1(X1,X2)))
| ~ r2_hidden(X3,u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_82,negated_conjecture,
m1_subset_1(k3_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)),k1_zfmisc_1(u1_struct_0(esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_83,negated_conjecture,
v13_waybel_0(k3_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)),esk3_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_84,negated_conjecture,
( ~ r2_hidden(esk1_0,u1_struct_0(esk4_0))
| ~ r2_hidden(esk2_0,u1_struct_0(esk4_0)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_85,negated_conjecture,
( r2_hidden(esk1_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_55]),c_0_56]) ).
cnf(c_0_86,negated_conjecture,
( ~ r2_hidden(esk1_0,k4_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]) ).
cnf(c_0_87,negated_conjecture,
~ r2_hidden(esk1_0,u1_struct_0(esk4_0)),
inference(csr,[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_81,c_0_34]),c_0_82]),c_0_83]),c_0_65]),c_0_66])]),c_0_84]) ).
cnf(c_0_88,negated_conjecture,
( r2_hidden(esk1_0,k2_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_64]),c_0_65]),c_0_66])]) ).
cnf(c_0_89,negated_conjecture,
( ~ r2_hidden(esk1_0,u1_struct_0(esk3_0))
| ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_69]),c_0_87]) ).
cnf(c_0_90,negated_conjecture,
~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_88]),c_0_87]),c_0_89]) ).
cnf(c_0_91,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_58]),c_0_65]),c_0_66])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU412+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
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 12:41:15 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.20/0.73 % Version : CSE_E---1.5
% 0.20/0.73 % Problem : theBenchmark.p
% 0.20/0.73 % Proof found
% 0.20/0.73 % SZS status Theorem for theBenchmark.p
% 0.20/0.73 % SZS output start Proof
% See solution above
% 0.20/0.74 % Total time : 0.160000 s
% 0.20/0.74 % SZS output end Proof
% 0.20/0.74 % Total time : 0.164000 s
%------------------------------------------------------------------------------