TSTP Solution File: LAT319+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT319+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 : n026.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 06:01:18 EDT 2023
% Result : Theorem 0.18s 0.63s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 75
% Syntax : Number of formulae : 139 ( 7 unt; 66 typ; 0 def)
% Number of atoms : 614 ( 0 equ)
% Maximal formula atoms : 70 ( 8 avg)
% Number of connectives : 858 ( 317 ~; 357 |; 156 &)
% ( 8 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 65 ( 47 >; 18 *; 0 +; 0 <<)
% Number of predicates : 35 ( 34 usr; 1 prp; 0-3 aty)
% Number of functors : 32 ( 32 usr; 19 con; 0-3 aty)
% Number of variables : 50 ( 0 sgn; 25 !; 0 ?; 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,
v17_lattices: $i > $o ).
tff(decl_26,type,
k1_lattice2: $i > $i ).
tff(decl_27,type,
v3_lattices: $i > $o ).
tff(decl_28,type,
u1_struct_0: $i > $i ).
tff(decl_29,type,
u2_lattices: $i > $i ).
tff(decl_30,type,
u1_lattices: $i > $i ).
tff(decl_31,type,
g3_lattices: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_33,type,
v1_xboole_0: $i > $o ).
tff(decl_34,type,
v1_funct_1: $i > $o ).
tff(decl_35,type,
v4_lattices: $i > $o ).
tff(decl_36,type,
v5_lattices: $i > $o ).
tff(decl_37,type,
v6_lattices: $i > $o ).
tff(decl_38,type,
v7_lattices: $i > $o ).
tff(decl_39,type,
v8_lattices: $i > $o ).
tff(decl_40,type,
v9_lattices: $i > $o ).
tff(decl_41,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_42,type,
k1_zfmisc_1: $i > $i ).
tff(decl_43,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_44,type,
v1_relat_1: $i > $o ).
tff(decl_45,type,
v2_funct_1: $i > $o ).
tff(decl_46,type,
v13_lattices: $i > $o ).
tff(decl_47,type,
v14_lattices: $i > $o ).
tff(decl_48,type,
v15_lattices: $i > $o ).
tff(decl_49,type,
v11_lattices: $i > $o ).
tff(decl_50,type,
v16_lattices: $i > $o ).
tff(decl_51,type,
v12_lattices: $i > $o ).
tff(decl_52,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_53,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_54,type,
l1_lattices: $i > $o ).
tff(decl_55,type,
l1_struct_0: $i > $o ).
tff(decl_56,type,
l2_lattices: $i > $o ).
tff(decl_57,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_58,type,
k1_xboole_0: $i ).
tff(decl_59,type,
v1_binop_1: ( $i * $i ) > $o ).
tff(decl_60,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_61,type,
v2_binop_1: ( $i * $i ) > $o ).
tff(decl_62,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_63,type,
epred1_1: $i > $o ).
tff(decl_64,type,
esk1_0: $i ).
tff(decl_65,type,
esk2_0: $i ).
tff(decl_66,type,
esk3_0: $i ).
tff(decl_67,type,
esk4_0: $i ).
tff(decl_68,type,
esk5_0: $i ).
tff(decl_69,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk7_1: $i > $i ).
tff(decl_71,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk9_0: $i ).
tff(decl_73,type,
esk10_0: $i ).
tff(decl_74,type,
esk11_0: $i ).
tff(decl_75,type,
esk12_0: $i ).
tff(decl_76,type,
esk13_0: $i ).
tff(decl_77,type,
esk14_1: $i > $i ).
tff(decl_78,type,
esk15_0: $i ).
tff(decl_79,type,
esk16_0: $i ).
tff(decl_80,type,
esk17_1: $i > $i ).
tff(decl_81,type,
esk18_0: $i ).
tff(decl_82,type,
esk19_0: $i ).
tff(decl_83,type,
esk20_0: $i ).
tff(decl_84,type,
esk21_0: $i ).
tff(decl_85,type,
esk22_1: $i > $i ).
tff(decl_86,type,
esk23_0: $i ).
tff(decl_87,type,
esk24_0: $i ).
fof(t53_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1) )
<=> ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_filter_2) ).
fof(cc6_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v17_lattices(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_lattices) ).
fof(fc1_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(t65_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v11_lattices(X1)
& l3_lattices(X1) )
<=> ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v11_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_lattice2) ).
fof(t54_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
<=> ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v17_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_filter_2) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(fc6_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(cc5_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v17_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_lattices) ).
fof(c_0_8,plain,
! [X1] :
( epred1_1(X1)
<=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1) )
<=> ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
introduced(definition) ).
fof(c_0_9,plain,
! [X1] :
( epred1_1(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1) )
<=> ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
inference(split_equiv,[status(thm)],[c_0_8]) ).
fof(c_0_10,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> epred1_1(X1) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[t53_filter_2]),c_0_8]) ).
fof(c_0_11,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v17_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc6_lattices]) ).
fof(c_0_12,plain,
! [X110] :
( ( ~ v3_struct_0(k1_lattice2(X110))
| v3_struct_0(X110)
| ~ v10_lattices(X110)
| ~ v15_lattices(X110)
| ~ v16_lattices(X110)
| ~ l3_lattices(X110)
| ~ epred1_1(X110) )
& ( v10_lattices(k1_lattice2(X110))
| v3_struct_0(X110)
| ~ v10_lattices(X110)
| ~ v15_lattices(X110)
| ~ v16_lattices(X110)
| ~ l3_lattices(X110)
| ~ epred1_1(X110) )
& ( v15_lattices(k1_lattice2(X110))
| v3_struct_0(X110)
| ~ v10_lattices(X110)
| ~ v15_lattices(X110)
| ~ v16_lattices(X110)
| ~ l3_lattices(X110)
| ~ epred1_1(X110) )
& ( v16_lattices(k1_lattice2(X110))
| v3_struct_0(X110)
| ~ v10_lattices(X110)
| ~ v15_lattices(X110)
| ~ v16_lattices(X110)
| ~ l3_lattices(X110)
| ~ epred1_1(X110) )
& ( l3_lattices(k1_lattice2(X110))
| v3_struct_0(X110)
| ~ v10_lattices(X110)
| ~ v15_lattices(X110)
| ~ v16_lattices(X110)
| ~ l3_lattices(X110)
| ~ epred1_1(X110) )
& ( ~ v3_struct_0(X110)
| v3_struct_0(k1_lattice2(X110))
| ~ v10_lattices(k1_lattice2(X110))
| ~ v15_lattices(k1_lattice2(X110))
| ~ v16_lattices(k1_lattice2(X110))
| ~ l3_lattices(k1_lattice2(X110))
| ~ epred1_1(X110) )
& ( v10_lattices(X110)
| v3_struct_0(k1_lattice2(X110))
| ~ v10_lattices(k1_lattice2(X110))
| ~ v15_lattices(k1_lattice2(X110))
| ~ v16_lattices(k1_lattice2(X110))
| ~ l3_lattices(k1_lattice2(X110))
| ~ epred1_1(X110) )
& ( v15_lattices(X110)
| v3_struct_0(k1_lattice2(X110))
| ~ v10_lattices(k1_lattice2(X110))
| ~ v15_lattices(k1_lattice2(X110))
| ~ v16_lattices(k1_lattice2(X110))
| ~ l3_lattices(k1_lattice2(X110))
| ~ epred1_1(X110) )
& ( v16_lattices(X110)
| v3_struct_0(k1_lattice2(X110))
| ~ v10_lattices(k1_lattice2(X110))
| ~ v15_lattices(k1_lattice2(X110))
| ~ v16_lattices(k1_lattice2(X110))
| ~ l3_lattices(k1_lattice2(X110))
| ~ epred1_1(X110) )
& ( l3_lattices(X110)
| v3_struct_0(k1_lattice2(X110))
| ~ v10_lattices(k1_lattice2(X110))
| ~ v15_lattices(k1_lattice2(X110))
| ~ v16_lattices(k1_lattice2(X110))
| ~ l3_lattices(k1_lattice2(X110))
| ~ epred1_1(X110) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_13,plain,
! [X100] :
( v3_struct_0(X100)
| ~ v10_lattices(X100)
| ~ l3_lattices(X100)
| epred1_1(X100) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
fof(c_0_14,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_lattice2]) ).
fof(c_0_15,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v11_lattices(X1)
& l3_lattices(X1) )
<=> ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v11_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t65_lattice2]) ).
fof(c_0_16,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
<=> ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v17_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t54_filter_2])]) ).
fof(c_0_17,plain,
! [X21] :
( ( ~ v3_struct_0(X21)
| v3_struct_0(X21)
| ~ v11_lattices(X21)
| ~ v15_lattices(X21)
| ~ v16_lattices(X21)
| ~ l3_lattices(X21) )
& ( v17_lattices(X21)
| v3_struct_0(X21)
| ~ v11_lattices(X21)
| ~ v15_lattices(X21)
| ~ v16_lattices(X21)
| ~ l3_lattices(X21) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
cnf(c_0_18,plain,
( v16_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( v3_struct_0(X1)
| epred1_1(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_20,plain,
! [X28] :
( ( v3_lattices(k1_lattice2(X28))
| ~ l3_lattices(X28) )
& ( l3_lattices(k1_lattice2(X28))
| ~ l3_lattices(X28) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
cnf(c_0_21,plain,
( v15_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_22,plain,
! [X49] :
( ( ~ v3_struct_0(k1_lattice2(X49))
| v3_struct_0(X49)
| ~ l3_lattices(X49) )
& ( v3_lattices(k1_lattice2(X49))
| v3_struct_0(X49)
| ~ l3_lattices(X49) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_23,plain,
! [X104] :
( ( ~ v3_struct_0(k1_lattice2(X104))
| v3_struct_0(X104)
| ~ v10_lattices(X104)
| ~ v11_lattices(X104)
| ~ l3_lattices(X104)
| v3_struct_0(X104)
| ~ v10_lattices(X104)
| ~ l3_lattices(X104) )
& ( v10_lattices(k1_lattice2(X104))
| v3_struct_0(X104)
| ~ v10_lattices(X104)
| ~ v11_lattices(X104)
| ~ l3_lattices(X104)
| v3_struct_0(X104)
| ~ v10_lattices(X104)
| ~ l3_lattices(X104) )
& ( v11_lattices(k1_lattice2(X104))
| v3_struct_0(X104)
| ~ v10_lattices(X104)
| ~ v11_lattices(X104)
| ~ l3_lattices(X104)
| v3_struct_0(X104)
| ~ v10_lattices(X104)
| ~ l3_lattices(X104) )
& ( l3_lattices(k1_lattice2(X104))
| v3_struct_0(X104)
| ~ v10_lattices(X104)
| ~ v11_lattices(X104)
| ~ l3_lattices(X104)
| v3_struct_0(X104)
| ~ v10_lattices(X104)
| ~ l3_lattices(X104) )
& ( ~ v3_struct_0(X104)
| v3_struct_0(k1_lattice2(X104))
| ~ v10_lattices(k1_lattice2(X104))
| ~ v11_lattices(k1_lattice2(X104))
| ~ l3_lattices(k1_lattice2(X104))
| v3_struct_0(X104)
| ~ v10_lattices(X104)
| ~ l3_lattices(X104) )
& ( v10_lattices(X104)
| v3_struct_0(k1_lattice2(X104))
| ~ v10_lattices(k1_lattice2(X104))
| ~ v11_lattices(k1_lattice2(X104))
| ~ l3_lattices(k1_lattice2(X104))
| v3_struct_0(X104)
| ~ v10_lattices(X104)
| ~ l3_lattices(X104) )
& ( v11_lattices(X104)
| v3_struct_0(k1_lattice2(X104))
| ~ v10_lattices(k1_lattice2(X104))
| ~ v11_lattices(k1_lattice2(X104))
| ~ l3_lattices(k1_lattice2(X104))
| v3_struct_0(X104)
| ~ v10_lattices(X104)
| ~ l3_lattices(X104) )
& ( l3_lattices(X104)
| v3_struct_0(k1_lattice2(X104))
| ~ v10_lattices(k1_lattice2(X104))
| ~ v11_lattices(k1_lattice2(X104))
| ~ l3_lattices(k1_lattice2(X104))
| v3_struct_0(X104)
| ~ v10_lattices(X104)
| ~ l3_lattices(X104) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
fof(c_0_24,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc6_lattice2]) ).
fof(c_0_25,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& ( v3_struct_0(esk1_0)
| ~ v10_lattices(esk1_0)
| ~ v17_lattices(esk1_0)
| ~ l3_lattices(esk1_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) )
& ( ~ v3_struct_0(k1_lattice2(esk1_0))
| ~ v3_struct_0(esk1_0) )
& ( v10_lattices(k1_lattice2(esk1_0))
| ~ v3_struct_0(esk1_0) )
& ( v17_lattices(k1_lattice2(esk1_0))
| ~ v3_struct_0(esk1_0) )
& ( l3_lattices(k1_lattice2(esk1_0))
| ~ v3_struct_0(esk1_0) )
& ( ~ v3_struct_0(k1_lattice2(esk1_0))
| v10_lattices(esk1_0) )
& ( v10_lattices(k1_lattice2(esk1_0))
| v10_lattices(esk1_0) )
& ( v17_lattices(k1_lattice2(esk1_0))
| v10_lattices(esk1_0) )
& ( l3_lattices(k1_lattice2(esk1_0))
| v10_lattices(esk1_0) )
& ( ~ v3_struct_0(k1_lattice2(esk1_0))
| v17_lattices(esk1_0) )
& ( v10_lattices(k1_lattice2(esk1_0))
| v17_lattices(esk1_0) )
& ( v17_lattices(k1_lattice2(esk1_0))
| v17_lattices(esk1_0) )
& ( l3_lattices(k1_lattice2(esk1_0))
| v17_lattices(esk1_0) )
& ( ~ v3_struct_0(k1_lattice2(esk1_0))
| l3_lattices(esk1_0) )
& ( v10_lattices(k1_lattice2(esk1_0))
| l3_lattices(esk1_0) )
& ( v17_lattices(k1_lattice2(esk1_0))
| l3_lattices(esk1_0) )
& ( l3_lattices(k1_lattice2(esk1_0))
| l3_lattices(esk1_0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
cnf(c_0_26,plain,
( v17_lattices(X1)
| v3_struct_0(X1)
| ~ v11_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,plain,
( v16_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_28,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,plain,
( v15_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[c_0_21,c_0_19]) ).
cnf(c_0_30,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,plain,
( v11_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v11_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_32,plain,
! [X61] :
( ( ~ v3_struct_0(k1_lattice2(X61))
| v3_struct_0(X61)
| ~ v10_lattices(X61)
| ~ l3_lattices(X61) )
& ( v3_lattices(k1_lattice2(X61))
| v3_struct_0(X61)
| ~ v10_lattices(X61)
| ~ l3_lattices(X61) )
& ( v4_lattices(k1_lattice2(X61))
| v3_struct_0(X61)
| ~ v10_lattices(X61)
| ~ l3_lattices(X61) )
& ( v5_lattices(k1_lattice2(X61))
| v3_struct_0(X61)
| ~ v10_lattices(X61)
| ~ l3_lattices(X61) )
& ( v6_lattices(k1_lattice2(X61))
| v3_struct_0(X61)
| ~ v10_lattices(X61)
| ~ l3_lattices(X61) )
& ( v7_lattices(k1_lattice2(X61))
| v3_struct_0(X61)
| ~ v10_lattices(X61)
| ~ l3_lattices(X61) )
& ( v8_lattices(k1_lattice2(X61))
| v3_struct_0(X61)
| ~ v10_lattices(X61)
| ~ l3_lattices(X61) )
& ( v9_lattices(k1_lattice2(X61))
| v3_struct_0(X61)
| ~ v10_lattices(X61)
| ~ l3_lattices(X61) )
& ( v10_lattices(k1_lattice2(X61))
| v3_struct_0(X61)
| ~ v10_lattices(X61)
| ~ l3_lattices(X61) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
fof(c_0_33,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v17_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc5_lattices]) ).
cnf(c_0_34,negated_conjecture,
( v3_struct_0(esk1_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ v10_lattices(esk1_0)
| ~ v17_lattices(esk1_0)
| ~ l3_lattices(esk1_0)
| ~ v10_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_36,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_37,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_38,plain,
( v17_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v11_lattices(k1_lattice2(X1))
| ~ v15_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]),c_0_30]) ).
cnf(c_0_39,plain,
( v3_struct_0(X1)
| v11_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v11_lattices(X1) ),
inference(cn,[status(thm)],[c_0_31]) ).
cnf(c_0_40,plain,
( v15_lattices(X1)
| v3_struct_0(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ v15_lattices(k1_lattice2(X1))
| ~ v16_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_41,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_42,plain,
! [X20] :
( ( ~ v3_struct_0(X20)
| v3_struct_0(X20)
| ~ v17_lattices(X20)
| ~ l3_lattices(X20) )
& ( v11_lattices(X20)
| v3_struct_0(X20)
| ~ v17_lattices(X20)
| ~ l3_lattices(X20) )
& ( v13_lattices(X20)
| v3_struct_0(X20)
| ~ v17_lattices(X20)
| ~ l3_lattices(X20) )
& ( v14_lattices(X20)
| v3_struct_0(X20)
| ~ v17_lattices(X20)
| ~ l3_lattices(X20) )
& ( v15_lattices(X20)
| v3_struct_0(X20)
| ~ v17_lattices(X20)
| ~ l3_lattices(X20) )
& ( v16_lattices(X20)
| v3_struct_0(X20)
| ~ v17_lattices(X20)
| ~ l3_lattices(X20) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
cnf(c_0_43,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35]),c_0_36])]),c_0_37]) ).
cnf(c_0_44,plain,
( v17_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v11_lattices(X1)
| ~ v15_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,plain,
( v15_lattices(X1)
| v3_struct_0(X1)
| ~ v16_lattices(k1_lattice2(X1))
| ~ v15_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_19]),c_0_41]),c_0_28]),c_0_30]) ).
cnf(c_0_46,plain,
( v16_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_47,plain,
( v15_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_48,negated_conjecture,
( v17_lattices(k1_lattice2(esk1_0))
| v17_lattices(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_49,negated_conjecture,
( l3_lattices(k1_lattice2(esk1_0))
| v17_lattices(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_50,negated_conjecture,
( v17_lattices(esk1_0)
| ~ v3_struct_0(k1_lattice2(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_51,plain,
( v16_lattices(X1)
| v3_struct_0(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ v15_lattices(k1_lattice2(X1))
| ~ v16_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_52,plain,
( v11_lattices(X1)
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(k1_lattice2(X1))
| ~ v11_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_53,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v16_lattices(esk1_0)
| ~ v11_lattices(esk1_0)
| ~ v15_lattices(esk1_0)
| ~ v17_lattices(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_36]),c_0_35])]),c_0_37]) ).
cnf(c_0_54,plain,
( v15_lattices(X1)
| v3_struct_0(X1)
| ~ v15_lattices(k1_lattice2(X1))
| ~ v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_28]),c_0_30]) ).
cnf(c_0_55,negated_conjecture,
( v15_lattices(k1_lattice2(esk1_0))
| v17_lattices(esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50]) ).
cnf(c_0_56,plain,
( v16_lattices(X1)
| v3_struct_0(X1)
| ~ v16_lattices(k1_lattice2(X1))
| ~ v15_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_19]),c_0_41]),c_0_28]),c_0_30]) ).
cnf(c_0_57,plain,
( v11_lattices(X1)
| v3_struct_0(X1)
| ~ v11_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_52,c_0_41]),c_0_28]),c_0_30]) ).
cnf(c_0_58,plain,
( v11_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_59,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v11_lattices(esk1_0)
| ~ v15_lattices(esk1_0)
| ~ v17_lattices(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_46]),c_0_36])]),c_0_37]) ).
cnf(c_0_60,negated_conjecture,
( v15_lattices(esk1_0)
| v17_lattices(esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_48]),c_0_36]),c_0_35])]),c_0_37]),c_0_55]) ).
cnf(c_0_61,plain,
( v16_lattices(X1)
| v3_struct_0(X1)
| ~ v15_lattices(k1_lattice2(X1))
| ~ v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_46]),c_0_28]),c_0_30]) ).
cnf(c_0_62,plain,
( v11_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_28]),c_0_30]) ).
cnf(c_0_63,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v15_lattices(esk1_0)
| ~ v17_lattices(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_58]),c_0_36])]),c_0_37]) ).
cnf(c_0_64,negated_conjecture,
v15_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_60]),c_0_36])]),c_0_37]) ).
cnf(c_0_65,negated_conjecture,
( v16_lattices(esk1_0)
| v17_lattices(esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_48]),c_0_36]),c_0_35])]),c_0_37]),c_0_55]) ).
cnf(c_0_66,negated_conjecture,
( v11_lattices(esk1_0)
| v17_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_48]),c_0_36]),c_0_35])]),c_0_37]) ).
cnf(c_0_67,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v17_lattices(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64])]) ).
cnf(c_0_68,negated_conjecture,
v17_lattices(esk1_0),
inference(csr,[status(thm)],[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_65]),c_0_64]),c_0_36])]),c_0_37]),c_0_66]) ).
cnf(c_0_69,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68])]) ).
cnf(c_0_70,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_41]),c_0_36]),c_0_35])]),c_0_37]) ).
cnf(c_0_71,negated_conjecture,
v3_struct_0(k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_28]),c_0_36])]) ).
cnf(c_0_72,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_71]),c_0_36])]),c_0_37]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT319+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
% 0.15/0.33 % Computer : n026.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Thu Aug 24 08:44:31 EDT 2023
% 0.15/0.33 % CPUTime :
% 0.18/0.56 start to proof: theBenchmark
% 0.18/0.63 % Version : CSE_E---1.5
% 0.18/0.63 % Problem : theBenchmark.p
% 0.18/0.63 % Proof found
% 0.18/0.63 % SZS status Theorem for theBenchmark.p
% 0.18/0.63 % SZS output start Proof
% See solution above
% 0.18/0.64 % Total time : 0.054000 s
% 0.18/0.64 % SZS output end Proof
% 0.18/0.64 % Total time : 0.059000 s
%------------------------------------------------------------------------------