TSTP Solution File: LAT347+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT347+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 : n031.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 06:01:46 EDT 2023
% Result : Theorem 1.21s 1.30s
% Output : CNFRefutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 83
% Syntax : Number of formulae : 123 ( 13 unt; 73 typ; 0 def)
% Number of atoms : 214 ( 13 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 258 ( 94 ~; 78 |; 65 &)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 79 ( 58 >; 21 *; 0 +; 0 <<)
% Number of predicates : 30 ( 28 usr; 1 prp; 0-3 aty)
% Number of functors : 45 ( 45 usr; 15 con; 0-3 aty)
% Number of variables : 41 ( 0 sgn; 29 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v2_orders_2: $i > $o ).
tff(decl_23,type,
v3_orders_2: $i > $o ).
tff(decl_24,type,
v4_orders_2: $i > $o ).
tff(decl_25,type,
v2_yellow_0: $i > $o ).
tff(decl_26,type,
v2_lattice3: $i > $o ).
tff(decl_27,type,
l1_orders_2: $i > $o ).
tff(decl_28,type,
v1_xboole_0: $i > $o ).
tff(decl_29,type,
k9_waybel_0: $i > $i ).
tff(decl_30,type,
k2_yellow_1: $i > $i ).
tff(decl_31,type,
v1_waybel_0: ( $i * $i ) > $o ).
tff(decl_32,type,
u1_struct_0: $i > $i ).
tff(decl_33,type,
k1_zfmisc_1: $i > $i ).
tff(decl_34,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_35,type,
k1_yellow_0: ( $i * $i ) > $i ).
tff(decl_36,type,
k3_tarski: $i > $i ).
tff(decl_37,type,
v1_orders_2: $i > $o ).
tff(decl_38,type,
u1_orders_2: $i > $i ).
tff(decl_39,type,
g1_orders_2: ( $i * $i ) > $i ).
tff(decl_40,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_41,type,
v3_struct_0: $i > $o ).
tff(decl_42,type,
v3_lattice3: $i > $o ).
tff(decl_43,type,
v24_waybel_0: $i > $o ).
tff(decl_44,type,
v25_waybel_0: $i > $o ).
tff(decl_45,type,
v1_yellow_0: $i > $o ).
tff(decl_46,type,
v1_lattice3: $i > $o ).
tff(decl_47,type,
v3_yellow_0: $i > $o ).
tff(decl_48,type,
v1_funct_1: $i > $o ).
tff(decl_49,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_50,type,
v1_relat_1: $i > $o ).
tff(decl_51,type,
v2_funct_1: $i > $o ).
tff(decl_52,type,
k8_waybel_0: $i > $i ).
tff(decl_53,type,
a_1_0_waybel_0: $i > $i ).
tff(decl_54,type,
a_1_1_waybel_0: $i > $i ).
tff(decl_55,type,
k7_lattice3: $i > $i ).
tff(decl_56,type,
k6_relset_1: ( $i * $i * $i ) > $i ).
tff(decl_57,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_58,type,
k4_relat_1: $i > $i ).
tff(decl_59,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_60,type,
l1_struct_0: $i > $o ).
tff(decl_61,type,
k1_xboole_0: $i ).
tff(decl_62,type,
v12_waybel_0: ( $i * $i ) > $o ).
tff(decl_63,type,
v2_waybel_0: ( $i * $i ) > $o ).
tff(decl_64,type,
v13_waybel_0: ( $i * $i ) > $o ).
tff(decl_65,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_66,type,
esk1_0: $i ).
tff(decl_67,type,
esk2_0: $i ).
tff(decl_68,type,
esk3_0: $i ).
tff(decl_69,type,
esk4_0: $i ).
tff(decl_70,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk6_1: $i > $i ).
tff(decl_72,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_73,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_74,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_75,type,
esk10_1: $i > $i ).
tff(decl_76,type,
esk11_1: $i > $i ).
tff(decl_77,type,
esk12_0: $i ).
tff(decl_78,type,
esk13_0: $i ).
tff(decl_79,type,
esk14_0: $i ).
tff(decl_80,type,
esk15_1: $i > $i ).
tff(decl_81,type,
esk16_1: $i > $i ).
tff(decl_82,type,
esk17_0: $i ).
tff(decl_83,type,
esk18_0: $i ).
tff(decl_84,type,
esk19_0: $i ).
tff(decl_85,type,
esk20_1: $i > $i ).
tff(decl_86,type,
esk21_0: $i ).
tff(decl_87,type,
esk22_0: $i ).
tff(decl_88,type,
esk23_0: $i ).
tff(decl_89,type,
esk24_0: $i ).
tff(decl_90,type,
esk25_1: $i > $i ).
tff(decl_91,type,
esk26_1: $i > $i ).
tff(decl_92,type,
esk27_1: $i > $i ).
tff(decl_93,type,
esk28_1: $i > $i ).
tff(decl_94,type,
esk29_2: ( $i * $i ) > $i ).
fof(t9_waybel13,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v1_yellow_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& v1_waybel_0(X2,k2_yellow_1(k8_waybel_0(X1)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1))))) )
=> k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),X2) = k3_tarski(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_waybel13) ).
fof(t7_waybel16,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& l1_orders_2(X1) )
=> k9_waybel_0(X1) = k8_waybel_0(k7_lattice3(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_waybel16) ).
fof(cc2_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(t1_waybel22,conjecture,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_yellow_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& v1_waybel_0(X2,k2_yellow_1(k9_waybel_0(X1)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X1))))) )
=> k1_yellow_0(k2_yellow_1(k9_waybel_0(X1)),X2) = k3_tarski(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_waybel22) ).
fof(fc1_yellow_7,axiom,
! [X1] :
( ( v2_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v2_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_yellow_7) ).
fof(fc2_yellow_7,axiom,
! [X1] :
( ( v3_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v3_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_yellow_7) ).
fof(dt_k7_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_orders_2(k7_lattice3(X1))
& l1_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_lattice3) ).
fof(fc10_yellow_7,axiom,
! [X1] :
( ( v2_yellow_0(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v1_yellow_0(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc10_yellow_7) ).
fof(fc5_yellow_7,axiom,
! [X1] :
( ( v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1))
& v1_lattice3(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_yellow_7) ).
fof(fc3_yellow_7,axiom,
! [X1] :
( ( v4_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v4_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_yellow_7) ).
fof(c_0_10,plain,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v1_yellow_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& v1_waybel_0(X2,k2_yellow_1(k8_waybel_0(X1)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1))))) )
=> k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),X2) = k3_tarski(X2) ) ),
inference(fof_simplification,[status(thm)],[t9_waybel13]) ).
fof(c_0_11,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& l1_orders_2(X1) )
=> k9_waybel_0(X1) = k8_waybel_0(k7_lattice3(X1)) ),
inference(fof_simplification,[status(thm)],[t7_waybel16]) ).
fof(c_0_12,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc2_lattice3]) ).
fof(c_0_13,negated_conjecture,
~ ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_yellow_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& v1_waybel_0(X2,k2_yellow_1(k9_waybel_0(X1)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X1))))) )
=> k1_yellow_0(k2_yellow_1(k9_waybel_0(X1)),X2) = k3_tarski(X2) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t1_waybel22])]) ).
fof(c_0_14,plain,
! [X151,X152] :
( ~ v2_orders_2(X151)
| ~ v3_orders_2(X151)
| ~ v4_orders_2(X151)
| ~ v1_lattice3(X151)
| ~ v1_yellow_0(X151)
| ~ l1_orders_2(X151)
| v1_xboole_0(X152)
| ~ v1_waybel_0(X152,k2_yellow_1(k8_waybel_0(X151)))
| ~ m1_subset_1(X152,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X151)))))
| k1_yellow_0(k2_yellow_1(k8_waybel_0(X151)),X152) = k3_tarski(X152) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_15,plain,
! [X148] :
( v3_struct_0(X148)
| ~ v2_orders_2(X148)
| ~ v3_orders_2(X148)
| ~ l1_orders_2(X148)
| k9_waybel_0(X148) = k8_waybel_0(k7_lattice3(X148)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).
fof(c_0_16,plain,
! [X60] :
( ( v1_orders_2(k7_lattice3(X60))
| ~ v2_orders_2(X60)
| ~ l1_orders_2(X60) )
& ( v2_orders_2(k7_lattice3(X60))
| ~ v2_orders_2(X60)
| ~ l1_orders_2(X60) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_yellow_7])])]) ).
fof(c_0_17,plain,
! [X62] :
( ( v1_orders_2(k7_lattice3(X62))
| ~ v3_orders_2(X62)
| ~ l1_orders_2(X62) )
& ( v3_orders_2(k7_lattice3(X62))
| ~ v3_orders_2(X62)
| ~ l1_orders_2(X62) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_yellow_7])])]) ).
fof(c_0_18,plain,
! [X39] :
( ( v1_orders_2(k7_lattice3(X39))
| ~ l1_orders_2(X39) )
& ( l1_orders_2(k7_lattice3(X39))
| ~ l1_orders_2(X39) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_lattice3])])]) ).
fof(c_0_19,plain,
! [X22] :
( ~ l1_orders_2(X22)
| ~ v2_lattice3(X22)
| ~ v3_struct_0(X22) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).
fof(c_0_20,negated_conjecture,
( v2_orders_2(esk1_0)
& v3_orders_2(esk1_0)
& v4_orders_2(esk1_0)
& v2_yellow_0(esk1_0)
& v2_lattice3(esk1_0)
& l1_orders_2(esk1_0)
& ~ v1_xboole_0(esk2_0)
& v1_waybel_0(esk2_0,k2_yellow_1(k9_waybel_0(esk1_0)))
& m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(esk1_0)))))
& k1_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),esk2_0) != k3_tarski(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
cnf(c_0_21,plain,
( v1_xboole_0(X2)
| k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),X2) = k3_tarski(X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v1_yellow_0(X1)
| ~ l1_orders_2(X1)
| ~ v1_waybel_0(X2,k2_yellow_1(k8_waybel_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1))))) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( v3_struct_0(X1)
| k9_waybel_0(X1) = k8_waybel_0(k7_lattice3(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( v2_orders_2(k7_lattice3(X1))
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
( v3_orders_2(k7_lattice3(X1))
| ~ v3_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
( l1_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,plain,
( ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,plain,
( k1_yellow_0(k2_yellow_1(k9_waybel_0(X1)),X2) = k3_tarski(X2)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| ~ v1_lattice3(k7_lattice3(X1))
| ~ v1_yellow_0(k7_lattice3(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X1)))))
| ~ v1_waybel_0(X2,k2_yellow_1(k9_waybel_0(X1)))
| ~ l1_orders_2(X1)
| ~ v4_orders_2(k7_lattice3(X1))
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24]),c_0_25]) ).
cnf(c_0_30,negated_conjecture,
v1_waybel_0(esk2_0,k2_yellow_1(k9_waybel_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(esk1_0))))),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_33,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_34,negated_conjecture,
k1_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),esk2_0) != k3_tarski(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_35,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
cnf(c_0_36,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_37,plain,
! [X56] :
( ( v1_orders_2(k7_lattice3(X56))
| ~ v2_yellow_0(X56)
| ~ l1_orders_2(X56) )
& ( v1_yellow_0(k7_lattice3(X56))
| ~ v2_yellow_0(X56)
| ~ l1_orders_2(X56) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc10_yellow_7])])]) ).
fof(c_0_38,plain,
! [X1] :
( ( v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1))
& v1_lattice3(k7_lattice3(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc5_yellow_7]) ).
cnf(c_0_39,negated_conjecture,
( ~ v1_lattice3(k7_lattice3(esk1_0))
| ~ v1_yellow_0(k7_lattice3(esk1_0))
| ~ v4_orders_2(k7_lattice3(esk1_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[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(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_28]),c_0_32]),c_0_33])]),c_0_34]),c_0_35]),c_0_36]) ).
cnf(c_0_40,plain,
( v1_yellow_0(k7_lattice3(X1))
| ~ v2_yellow_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_41,negated_conjecture,
v2_yellow_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_42,plain,
! [X70] :
( ( ~ v3_struct_0(k7_lattice3(X70))
| ~ v2_lattice3(X70)
| ~ l1_orders_2(X70) )
& ( v1_orders_2(k7_lattice3(X70))
| ~ v2_lattice3(X70)
| ~ l1_orders_2(X70) )
& ( v1_lattice3(k7_lattice3(X70))
| ~ v2_lattice3(X70)
| ~ l1_orders_2(X70) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).
cnf(c_0_43,negated_conjecture,
( ~ v1_lattice3(k7_lattice3(esk1_0))
| ~ v4_orders_2(k7_lattice3(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_28]),c_0_41])]) ).
cnf(c_0_44,plain,
( v1_lattice3(k7_lattice3(X1))
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_45,plain,
! [X64] :
( ( v1_orders_2(k7_lattice3(X64))
| ~ v4_orders_2(X64)
| ~ l1_orders_2(X64) )
& ( v4_orders_2(k7_lattice3(X64))
| ~ v4_orders_2(X64)
| ~ l1_orders_2(X64) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_yellow_7])])]) ).
cnf(c_0_46,negated_conjecture,
~ v4_orders_2(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_28]),c_0_27])]) ).
cnf(c_0_47,plain,
( v4_orders_2(k7_lattice3(X1))
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_48,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_49,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_28]),c_0_48])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT347+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 05:31:50 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 1.21/1.30 % Version : CSE_E---1.5
% 1.21/1.30 % Problem : theBenchmark.p
% 1.21/1.30 % Proof found
% 1.21/1.30 % SZS status Theorem for theBenchmark.p
% 1.21/1.30 % SZS output start Proof
% See solution above
% 1.21/1.31 % Total time : 0.711000 s
% 1.21/1.31 % SZS output end Proof
% 1.21/1.31 % Total time : 0.716000 s
%------------------------------------------------------------------------------