TSTP Solution File: SEU411+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU411+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 : n006.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 16:25:45 EDT 2023
% Result : Theorem 1.88s 1.98s
% Output : CNFRefutation 1.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 47
% Syntax : Number of formulae : 100 ( 26 unt; 35 typ; 0 def)
% Number of atoms : 247 ( 11 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 282 ( 100 ~; 90 |; 70 &)
% ( 3 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 41 ( 27 >; 14 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-3 aty)
% Number of variables : 103 ( 6 sgn; 62 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v3_struct_0: $i > $o ).
tff(decl_23,type,
v2_orders_2: $i > $o ).
tff(decl_24,type,
v3_orders_2: $i > $o ).
tff(decl_25,type,
v4_orders_2: $i > $o ).
tff(decl_26,type,
v1_yellow_0: $i > $o ).
tff(decl_27,type,
v1_lattice3: $i > $o ).
tff(decl_28,type,
l1_orders_2: $i > $o ).
tff(decl_29,type,
u1_struct_0: $i > $i ).
tff(decl_30,type,
k3_xboole_0: ( $i * $i ) > $i ).
tff(decl_31,type,
v1_xboole_0: $i > $o ).
tff(decl_32,type,
v1_waybel_0: ( $i * $i ) > $o ).
tff(decl_33,type,
v12_waybel_0: ( $i * $i ) > $o ).
tff(decl_34,type,
k1_zfmisc_1: $i > $i ).
tff(decl_35,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_36,type,
k3_yellow_0: $i > $i ).
tff(decl_37,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_38,type,
r1_orders_2: ( $i * $i * $i ) > $o ).
tff(decl_39,type,
k1_xboole_0: $i ).
tff(decl_40,type,
l1_struct_0: $i > $o ).
tff(decl_41,type,
r3_orders_2: ( $i * $i * $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_2: ( $i * $i ) > $i ).
tff(decl_46,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_47,type,
esk5_1: $i > $i ).
tff(decl_48,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
esk7_0: $i ).
tff(decl_50,type,
esk8_0: $i ).
tff(decl_51,type,
esk9_1: $i > $i ).
tff(decl_52,type,
esk10_0: $i ).
tff(decl_53,type,
esk11_0: $i ).
tff(decl_54,type,
esk12_0: $i ).
tff(decl_55,type,
esk13_1: $i > $i ).
tff(decl_56,type,
esk14_1: $i > $i ).
fof(t20_latsum_1,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& v1_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_yellow_0(X2)
& v1_lattice3(X2)
& l1_orders_2(X2) )
=> ( ( ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)))
& v1_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),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(k3_yellow_0(X2),u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_latsum_1) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
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(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(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
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(dt_k3_yellow_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> m1_subset_1(k3_yellow_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yellow_0) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(d19_waybel_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v12_waybel_0(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,X2)
& r1_orders_2(X1,X4,X3) )
=> r2_hidden(X4,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d19_waybel_0) ).
fof(t44_yellow_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> r1_orders_2(X1,k3_yellow_0(X1),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_yellow_0) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(d3_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = k3_xboole_0(X1,X2)
<=> ! [X4] :
( r2_hidden(X4,X3)
<=> ( r2_hidden(X4,X1)
& r2_hidden(X4,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(c_0_12,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& v1_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_yellow_0(X2)
& v1_lattice3(X2)
& l1_orders_2(X2) )
=> ( ( ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)))
& v1_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),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(k3_yellow_0(X2),u1_struct_0(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t20_latsum_1])]) ).
fof(c_0_13,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v2_orders_2(esk1_0)
& v3_orders_2(esk1_0)
& v4_orders_2(esk1_0)
& v1_yellow_0(esk1_0)
& v1_lattice3(esk1_0)
& l1_orders_2(esk1_0)
& ~ v3_struct_0(esk2_0)
& v2_orders_2(esk2_0)
& v3_orders_2(esk2_0)
& v4_orders_2(esk2_0)
& v1_yellow_0(esk2_0)
& v1_lattice3(esk2_0)
& l1_orders_2(esk2_0)
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0)))
& v1_waybel_0(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_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)))
& ~ r2_hidden(k3_yellow_0(esk2_0),u1_struct_0(esk1_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_14,plain,
! [X9,X10] : k3_xboole_0(X9,X10) = k3_xboole_0(X10,X9),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
fof(c_0_15,plain,
! [X67,X68,X69] :
( ~ r2_hidden(X67,X68)
| ~ m1_subset_1(X68,k1_zfmisc_1(X69))
| ~ v1_xboole_0(X69) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_16,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_13]) ).
cnf(c_0_17,plain,
k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_18,plain,
! [X58,X59] :
( ~ m1_subset_1(X58,X59)
| v1_xboole_0(X59)
| r2_hidden(X58,X59) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(c_0_19,plain,
! [X34] : m1_subset_1(esk9_1(X34),X34),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
cnf(c_0_20,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
m1_subset_1(k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0)),k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
m1_subset_1(esk9_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,negated_conjecture,
~ v1_xboole_0(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_25,negated_conjecture,
( ~ r2_hidden(X1,k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0)))
| ~ v1_xboole_0(u1_struct_0(esk2_0)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
( r2_hidden(esk9_1(X1),X1)
| v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
~ v1_xboole_0(k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0))),
inference(rw,[status(thm)],[c_0_24,c_0_17]) ).
fof(c_0_28,plain,
! [X64,X65,X66] :
( ~ r2_hidden(X64,X65)
| ~ m1_subset_1(X65,k1_zfmisc_1(X66))
| m1_subset_1(X64,X66) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(c_0_29,plain,
! [X30] :
( ~ l1_orders_2(X30)
| m1_subset_1(k3_yellow_0(X30),u1_struct_0(X30)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_yellow_0])]) ).
fof(c_0_30,plain,
! [X71,X72] :
( ~ r2_hidden(X71,X72)
| ~ v1_xboole_0(X72) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
cnf(c_0_31,negated_conjecture,
( r2_hidden(esk9_1(u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ r2_hidden(X1,k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
r2_hidden(esk9_1(k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0))),k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_27,c_0_26]) ).
fof(c_0_33,plain,
! [X11,X12,X13,X14] :
( ( ~ v12_waybel_0(X12,X11)
| ~ m1_subset_1(X13,u1_struct_0(X11))
| ~ m1_subset_1(X14,u1_struct_0(X11))
| ~ r2_hidden(X13,X12)
| ~ r1_orders_2(X11,X14,X13)
| r2_hidden(X14,X12)
| ~ m1_subset_1(X12,k1_zfmisc_1(u1_struct_0(X11)))
| ~ l1_orders_2(X11) )
& ( m1_subset_1(esk3_2(X11,X12),u1_struct_0(X11))
| v12_waybel_0(X12,X11)
| ~ m1_subset_1(X12,k1_zfmisc_1(u1_struct_0(X11)))
| ~ l1_orders_2(X11) )
& ( m1_subset_1(esk4_2(X11,X12),u1_struct_0(X11))
| v12_waybel_0(X12,X11)
| ~ m1_subset_1(X12,k1_zfmisc_1(u1_struct_0(X11)))
| ~ l1_orders_2(X11) )
& ( r2_hidden(esk3_2(X11,X12),X12)
| v12_waybel_0(X12,X11)
| ~ m1_subset_1(X12,k1_zfmisc_1(u1_struct_0(X11)))
| ~ l1_orders_2(X11) )
& ( r1_orders_2(X11,esk4_2(X11,X12),esk3_2(X11,X12))
| v12_waybel_0(X12,X11)
| ~ m1_subset_1(X12,k1_zfmisc_1(u1_struct_0(X11)))
| ~ l1_orders_2(X11) )
& ( ~ r2_hidden(esk4_2(X11,X12),X12)
| v12_waybel_0(X12,X11)
| ~ m1_subset_1(X12,k1_zfmisc_1(u1_struct_0(X11)))
| ~ l1_orders_2(X11) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d19_waybel_0])])])])]) ).
fof(c_0_34,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> r1_orders_2(X1,k3_yellow_0(X1),X2) ) ),
inference(fof_simplification,[status(thm)],[t44_yellow_0]) ).
cnf(c_0_35,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_28]) ).
cnf(c_0_36,plain,
( m1_subset_1(k3_yellow_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,negated_conjecture,
r2_hidden(esk9_1(u1_struct_0(esk2_0)),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_39,plain,
( r2_hidden(X4,X1)
| ~ v12_waybel_0(X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ r2_hidden(X3,X1)
| ~ r1_orders_2(X2,X4,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,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_13]) ).
fof(c_0_41,plain,
! [X62,X63] :
( v3_struct_0(X62)
| ~ v4_orders_2(X62)
| ~ v1_yellow_0(X62)
| ~ l1_orders_2(X62)
| ~ m1_subset_1(X63,u1_struct_0(X62))
| r1_orders_2(X62,k3_yellow_0(X62),X63) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
cnf(c_0_42,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ r2_hidden(X1,k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_35,c_0_21]) ).
fof(c_0_43,plain,
! [X55,X56] :
( ~ r2_hidden(X55,X56)
| m1_subset_1(X55,X56) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_44,plain,
( r2_hidden(k3_yellow_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_36]) ).
cnf(c_0_45,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_46,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_47,plain,
! [X21,X22,X23,X24,X25,X26,X27,X28] :
( ( r2_hidden(X24,X21)
| ~ r2_hidden(X24,X23)
| X23 != k3_xboole_0(X21,X22) )
& ( r2_hidden(X24,X22)
| ~ r2_hidden(X24,X23)
| X23 != k3_xboole_0(X21,X22) )
& ( ~ r2_hidden(X25,X21)
| ~ r2_hidden(X25,X22)
| r2_hidden(X25,X23)
| X23 != k3_xboole_0(X21,X22) )
& ( ~ r2_hidden(esk6_3(X26,X27,X28),X28)
| ~ r2_hidden(esk6_3(X26,X27,X28),X26)
| ~ r2_hidden(esk6_3(X26,X27,X28),X27)
| X28 = k3_xboole_0(X26,X27) )
& ( r2_hidden(esk6_3(X26,X27,X28),X26)
| r2_hidden(esk6_3(X26,X27,X28),X28)
| X28 = k3_xboole_0(X26,X27) )
& ( r2_hidden(esk6_3(X26,X27,X28),X27)
| r2_hidden(esk6_3(X26,X27,X28),X28)
| X28 = k3_xboole_0(X26,X27) ) ),
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_xboole_0])])])])])]) ).
cnf(c_0_48,plain,
( r2_hidden(X1,X2)
| ~ r1_orders_2(X3,X1,X4)
| ~ r2_hidden(X4,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_subset_1(X1,u1_struct_0(X3))
| ~ v12_waybel_0(X2,X3)
| ~ l1_orders_2(X3) ),
inference(csr,[status(thm)],[c_0_39,c_0_35]) ).
cnf(c_0_49,negated_conjecture,
v12_waybel_0(k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0)),esk2_0),
inference(rw,[status(thm)],[c_0_40,c_0_17]) ).
cnf(c_0_50,plain,
( v3_struct_0(X1)
| r1_orders_2(X1,k3_yellow_0(X1),X2)
| ~ v4_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ l1_orders_2(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_51,negated_conjecture,
m1_subset_1(esk9_1(k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0))),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_42,c_0_32]) ).
cnf(c_0_52,negated_conjecture,
v1_yellow_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_53,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_54,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_55,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_56,negated_conjecture,
r2_hidden(k3_yellow_0(esk2_0),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
cnf(c_0_57,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,X3)
| X3 != k3_xboole_0(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_58,negated_conjecture,
( r2_hidden(X1,k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0)))
| ~ r1_orders_2(esk2_0,X1,X2)
| ~ r2_hidden(X2,k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0)))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_21]),c_0_49]),c_0_45])]) ).
cnf(c_0_59,negated_conjecture,
r1_orders_2(esk2_0,k3_yellow_0(esk2_0),esk9_1(k3_xboole_0(u1_struct_0(esk2_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_50,c_0_51]),c_0_45]),c_0_52]),c_0_53])]),c_0_54]) ).
cnf(c_0_60,negated_conjecture,
m1_subset_1(k3_yellow_0(esk2_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_61,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,k3_xboole_0(X3,X2)) ),
inference(er,[status(thm)],[c_0_57]) ).
cnf(c_0_62,negated_conjecture,
r2_hidden(k3_yellow_0(esk2_0),k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_32]),c_0_60])]) ).
cnf(c_0_63,negated_conjecture,
~ r2_hidden(k3_yellow_0(esk2_0),u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_64,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU411+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 : n006.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 19:41:08 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 1.88/1.98 % Version : CSE_E---1.5
% 1.88/1.98 % Problem : theBenchmark.p
% 1.88/1.98 % Proof found
% 1.88/1.98 % SZS status Theorem for theBenchmark.p
% 1.88/1.98 % SZS output start Proof
% See solution above
% 1.88/1.99 % Total time : 1.405000 s
% 1.88/1.99 % SZS output end Proof
% 1.88/1.99 % Total time : 1.408000 s
%------------------------------------------------------------------------------