TSTP Solution File: LAT319+3 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LAT319+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:08:35 EDT 2023
% Result : Theorem 466.09s 63.41s
% Output : CNFRefutation 466.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 62 ( 4 unt; 0 def)
% Number of atoms : 577 ( 0 equ)
% Maximal formula atoms : 70 ( 9 avg)
% Number of connectives : 813 ( 298 ~; 331 |; 156 &)
% ( 8 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 47 ( 0 sgn; 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/tmp/tmp.L3Ee7f569s/E---3.1_24487.p',t54_filter_2) ).
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/tmp/tmp.L3Ee7f569s/E---3.1_24487.p',fc1_lattice2) ).
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/tmp/tmp.L3Ee7f569s/E---3.1_24487.p',cc6_lattices) ).
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/tmp/tmp.L3Ee7f569s/E---3.1_24487.p',cc5_lattices) ).
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/tmp/tmp.L3Ee7f569s/E---3.1_24487.p',t53_filter_2) ).
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/tmp/tmp.L3Ee7f569s/E---3.1_24487.p',t65_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/tmp/tmp.L3Ee7f569s/E---3.1_24487.p',fc6_lattice2) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.L3Ee7f569s/E---3.1_24487.p',dt_k1_lattice2) ).
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,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_10,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_11,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_12,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_13,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]) ).
fof(c_0_14,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_9])])])]) ).
fof(c_0_15,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_16,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_17,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_18,plain,
! [X22512] :
( ( ~ v3_struct_0(k1_lattice2(X22512))
| v3_struct_0(X22512)
| ~ v10_lattices(X22512)
| ~ v15_lattices(X22512)
| ~ v16_lattices(X22512)
| ~ l3_lattices(X22512)
| ~ epred1_1(X22512) )
& ( v10_lattices(k1_lattice2(X22512))
| v3_struct_0(X22512)
| ~ v10_lattices(X22512)
| ~ v15_lattices(X22512)
| ~ v16_lattices(X22512)
| ~ l3_lattices(X22512)
| ~ epred1_1(X22512) )
& ( v15_lattices(k1_lattice2(X22512))
| v3_struct_0(X22512)
| ~ v10_lattices(X22512)
| ~ v15_lattices(X22512)
| ~ v16_lattices(X22512)
| ~ l3_lattices(X22512)
| ~ epred1_1(X22512) )
& ( v16_lattices(k1_lattice2(X22512))
| v3_struct_0(X22512)
| ~ v10_lattices(X22512)
| ~ v15_lattices(X22512)
| ~ v16_lattices(X22512)
| ~ l3_lattices(X22512)
| ~ epred1_1(X22512) )
& ( l3_lattices(k1_lattice2(X22512))
| v3_struct_0(X22512)
| ~ v10_lattices(X22512)
| ~ v15_lattices(X22512)
| ~ v16_lattices(X22512)
| ~ l3_lattices(X22512)
| ~ epred1_1(X22512) )
& ( ~ v3_struct_0(X22512)
| v3_struct_0(k1_lattice2(X22512))
| ~ v10_lattices(k1_lattice2(X22512))
| ~ v15_lattices(k1_lattice2(X22512))
| ~ v16_lattices(k1_lattice2(X22512))
| ~ l3_lattices(k1_lattice2(X22512))
| ~ epred1_1(X22512) )
& ( v10_lattices(X22512)
| v3_struct_0(k1_lattice2(X22512))
| ~ v10_lattices(k1_lattice2(X22512))
| ~ v15_lattices(k1_lattice2(X22512))
| ~ v16_lattices(k1_lattice2(X22512))
| ~ l3_lattices(k1_lattice2(X22512))
| ~ epred1_1(X22512) )
& ( v15_lattices(X22512)
| v3_struct_0(k1_lattice2(X22512))
| ~ v10_lattices(k1_lattice2(X22512))
| ~ v15_lattices(k1_lattice2(X22512))
| ~ v16_lattices(k1_lattice2(X22512))
| ~ l3_lattices(k1_lattice2(X22512))
| ~ epred1_1(X22512) )
& ( v16_lattices(X22512)
| v3_struct_0(k1_lattice2(X22512))
| ~ v10_lattices(k1_lattice2(X22512))
| ~ v15_lattices(k1_lattice2(X22512))
| ~ v16_lattices(k1_lattice2(X22512))
| ~ l3_lattices(k1_lattice2(X22512))
| ~ epred1_1(X22512) )
& ( l3_lattices(X22512)
| v3_struct_0(k1_lattice2(X22512))
| ~ v10_lattices(k1_lattice2(X22512))
| ~ v15_lattices(k1_lattice2(X22512))
| ~ v16_lattices(k1_lattice2(X22512))
| ~ l3_lattices(k1_lattice2(X22512))
| ~ epred1_1(X22512) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_19,plain,
! [X17] :
( ( ~ v3_struct_0(k1_lattice2(X17))
| v3_struct_0(X17)
| ~ l3_lattices(X17) )
& ( v3_lattices(k1_lattice2(X17))
| v3_struct_0(X17)
| ~ l3_lattices(X17) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_20,plain,
! [X1221] :
( ( ~ v3_struct_0(X1221)
| v3_struct_0(X1221)
| ~ v11_lattices(X1221)
| ~ v15_lattices(X1221)
| ~ v16_lattices(X1221)
| ~ l3_lattices(X1221) )
& ( v17_lattices(X1221)
| v3_struct_0(X1221)
| ~ v11_lattices(X1221)
| ~ v15_lattices(X1221)
| ~ v16_lattices(X1221)
| ~ l3_lattices(X1221) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_21,plain,
! [X1157] :
( ( ~ v3_struct_0(X1157)
| v3_struct_0(X1157)
| ~ v17_lattices(X1157)
| ~ l3_lattices(X1157) )
& ( v11_lattices(X1157)
| v3_struct_0(X1157)
| ~ v17_lattices(X1157)
| ~ l3_lattices(X1157) )
& ( v13_lattices(X1157)
| v3_struct_0(X1157)
| ~ v17_lattices(X1157)
| ~ l3_lattices(X1157) )
& ( v14_lattices(X1157)
| v3_struct_0(X1157)
| ~ v17_lattices(X1157)
| ~ l3_lattices(X1157) )
& ( v15_lattices(X1157)
| v3_struct_0(X1157)
| ~ v17_lattices(X1157)
| ~ l3_lattices(X1157) )
& ( v16_lattices(X1157)
| v3_struct_0(X1157)
| ~ v17_lattices(X1157)
| ~ l3_lattices(X1157) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
cnf(c_0_22,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_14]) ).
cnf(c_0_23,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_25,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_26,plain,
! [X56] :
( v3_struct_0(X56)
| ~ v10_lattices(X56)
| ~ l3_lattices(X56)
| epred1_1(X56) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])]) ).
fof(c_0_27,plain,
! [X44] :
( ( ~ v3_struct_0(k1_lattice2(X44))
| v3_struct_0(X44)
| ~ v10_lattices(X44)
| ~ v11_lattices(X44)
| ~ l3_lattices(X44)
| v3_struct_0(X44)
| ~ v10_lattices(X44)
| ~ l3_lattices(X44) )
& ( v10_lattices(k1_lattice2(X44))
| v3_struct_0(X44)
| ~ v10_lattices(X44)
| ~ v11_lattices(X44)
| ~ l3_lattices(X44)
| v3_struct_0(X44)
| ~ v10_lattices(X44)
| ~ l3_lattices(X44) )
& ( v11_lattices(k1_lattice2(X44))
| v3_struct_0(X44)
| ~ v10_lattices(X44)
| ~ v11_lattices(X44)
| ~ l3_lattices(X44)
| v3_struct_0(X44)
| ~ v10_lattices(X44)
| ~ l3_lattices(X44) )
& ( l3_lattices(k1_lattice2(X44))
| v3_struct_0(X44)
| ~ v10_lattices(X44)
| ~ v11_lattices(X44)
| ~ l3_lattices(X44)
| v3_struct_0(X44)
| ~ v10_lattices(X44)
| ~ l3_lattices(X44) )
& ( ~ v3_struct_0(X44)
| v3_struct_0(k1_lattice2(X44))
| ~ v10_lattices(k1_lattice2(X44))
| ~ v11_lattices(k1_lattice2(X44))
| ~ l3_lattices(k1_lattice2(X44))
| v3_struct_0(X44)
| ~ v10_lattices(X44)
| ~ l3_lattices(X44) )
& ( v10_lattices(X44)
| v3_struct_0(k1_lattice2(X44))
| ~ v10_lattices(k1_lattice2(X44))
| ~ v11_lattices(k1_lattice2(X44))
| ~ l3_lattices(k1_lattice2(X44))
| v3_struct_0(X44)
| ~ v10_lattices(X44)
| ~ l3_lattices(X44) )
& ( v11_lattices(X44)
| v3_struct_0(k1_lattice2(X44))
| ~ v10_lattices(k1_lattice2(X44))
| ~ v11_lattices(k1_lattice2(X44))
| ~ l3_lattices(k1_lattice2(X44))
| v3_struct_0(X44)
| ~ v10_lattices(X44)
| ~ l3_lattices(X44) )
& ( l3_lattices(X44)
| v3_struct_0(k1_lattice2(X44))
| ~ v10_lattices(k1_lattice2(X44))
| ~ v11_lattices(k1_lattice2(X44))
| ~ l3_lattices(k1_lattice2(X44))
| v3_struct_0(X44)
| ~ v10_lattices(X44)
| ~ l3_lattices(X44) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_28,plain,
! [X48] :
( ( v3_lattices(k1_lattice2(X48))
| ~ l3_lattices(X48) )
& ( l3_lattices(k1_lattice2(X48))
| ~ l3_lattices(X48) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
fof(c_0_29,plain,
! [X18] :
( ( ~ v3_struct_0(k1_lattice2(X18))
| v3_struct_0(X18)
| ~ v10_lattices(X18)
| ~ l3_lattices(X18) )
& ( v3_lattices(k1_lattice2(X18))
| v3_struct_0(X18)
| ~ v10_lattices(X18)
| ~ l3_lattices(X18) )
& ( v4_lattices(k1_lattice2(X18))
| v3_struct_0(X18)
| ~ v10_lattices(X18)
| ~ l3_lattices(X18) )
& ( v5_lattices(k1_lattice2(X18))
| v3_struct_0(X18)
| ~ v10_lattices(X18)
| ~ l3_lattices(X18) )
& ( v6_lattices(k1_lattice2(X18))
| v3_struct_0(X18)
| ~ v10_lattices(X18)
| ~ l3_lattices(X18) )
& ( v7_lattices(k1_lattice2(X18))
| v3_struct_0(X18)
| ~ v10_lattices(X18)
| ~ l3_lattices(X18) )
& ( v8_lattices(k1_lattice2(X18))
| v3_struct_0(X18)
| ~ v10_lattices(X18)
| ~ l3_lattices(X18) )
& ( v9_lattices(k1_lattice2(X18))
| v3_struct_0(X18)
| ~ v10_lattices(X18)
| ~ l3_lattices(X18) )
& ( v10_lattices(k1_lattice2(X18))
| v3_struct_0(X18)
| ~ v10_lattices(X18)
| ~ l3_lattices(X18) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
cnf(c_0_30,negated_conjecture,
( v17_lattices(esk1_0)
| ~ v3_struct_0(k1_lattice2(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_31,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_18]) ).
cnf(c_0_32,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_18]) ).
cnf(c_0_33,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_34,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_20]) ).
cnf(c_0_35,plain,
( v16_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_36,plain,
( v15_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_37,plain,
( v11_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_38,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(esk1_0)
| ~ v10_lattices(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)],[c_0_22,c_0_23]),c_0_24])]),c_0_25]) ).
cnf(c_0_39,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_18]) ).
cnf(c_0_40,plain,
( v3_struct_0(X1)
| epred1_1(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_41,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_18]) ).
cnf(c_0_42,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_27]) ).
cnf(c_0_43,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_44,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_45,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_27]) ).
cnf(c_0_46,negated_conjecture,
( v17_lattices(esk1_0)
| v16_lattices(esk1_0)
| ~ epred1_1(esk1_0)
| ~ v16_lattices(k1_lattice2(esk1_0))
| ~ v15_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_47,negated_conjecture,
( v17_lattices(esk1_0)
| v15_lattices(esk1_0)
| ~ epred1_1(esk1_0)
| ~ v16_lattices(k1_lattice2(esk1_0))
| ~ v15_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_30,c_0_32]) ).
cnf(c_0_48,plain,
( v3_struct_0(X1)
| v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v16_lattices(k1_lattice2(X1))
| ~ v15_lattices(k1_lattice2(X1))
| ~ v11_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_49,plain,
( v3_struct_0(X1)
| v16_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1)) ),
inference(spm,[status(thm)],[c_0_33,c_0_35]) ).
cnf(c_0_50,negated_conjecture,
( v16_lattices(esk1_0)
| ~ v17_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_35]),c_0_23])]) ).
cnf(c_0_51,plain,
( v3_struct_0(X1)
| v15_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1)) ),
inference(spm,[status(thm)],[c_0_33,c_0_36]) ).
cnf(c_0_52,negated_conjecture,
( v15_lattices(esk1_0)
| ~ v17_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_36]),c_0_23])]) ).
cnf(c_0_53,plain,
( v3_struct_0(X1)
| v11_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1)) ),
inference(spm,[status(thm)],[c_0_33,c_0_37]) ).
cnf(c_0_54,negated_conjecture,
( v11_lattices(esk1_0)
| ~ v17_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_37]),c_0_23])]) ).
cnf(c_0_55,negated_conjecture,
( ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(esk1_0)
| ~ v10_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_38]),c_0_23])]),c_0_25]) ).
cnf(c_0_56,plain,
( v16_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_57,plain,
( v15_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[c_0_41,c_0_40]) ).
cnf(c_0_58,plain,
( v11_lattices(X1)
| v3_struct_0(X1)
| ~ v11_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_33]) ).
cnf(c_0_59,plain,
( v3_struct_0(X1)
| v11_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v11_lattices(X1) ),
inference(cn,[status(thm)],[c_0_45]) ).
cnf(c_0_60,negated_conjecture,
( v17_lattices(k1_lattice2(esk1_0))
| v17_lattices(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_61,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_46,c_0_47,c_0_48,c_0_49,c_0_50,c_0_51,c_0_52,c_0_53,c_0_54,c_0_55,c_0_56,c_0_57,c_0_58,c_0_34,c_0_59,c_0_40,c_0_44,c_0_43,c_0_60,c_0_25,c_0_24,c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 1.06/1.10 % Problem : LAT319+3 : TPTP v8.1.2. Released v3.4.0.
% 1.06/1.11 % Command : run_E %s %d THM
% 1.15/1.32 % Computer : n013.cluster.edu
% 1.15/1.32 % Model : x86_64 x86_64
% 1.15/1.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 1.15/1.32 % Memory : 8042.1875MB
% 1.15/1.32 % OS : Linux 3.10.0-693.el7.x86_64
% 1.15/1.32 % CPULimit : 2400
% 1.15/1.32 % WCLimit : 300
% 1.15/1.32 % DateTime : Mon Oct 2 10:51:01 EDT 2023
% 1.15/1.32 % CPUTime :
% 3.63/3.84 Running first-order theorem proving
% 3.63/3.84 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.L3Ee7f569s/E---3.1_24487.p
% 466.09/63.41 # Version: 3.1pre001
% 466.09/63.41 # Preprocessing class: FMLLSMLLSSSNFFN.
% 466.09/63.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 466.09/63.41 # Starting new_bool_3 with 900s (3) cores
% 466.09/63.41 # Starting new_bool_1 with 900s (3) cores
% 466.09/63.41 # Starting sh5l with 300s (1) cores
% 466.09/63.41 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 466.09/63.41 # sh5l with pid 24567 completed with status 0
% 466.09/63.41 # Result found by sh5l
% 466.09/63.41 # Preprocessing class: FMLLSMLLSSSNFFN.
% 466.09/63.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 466.09/63.41 # Starting new_bool_3 with 900s (3) cores
% 466.09/63.41 # Starting new_bool_1 with 900s (3) cores
% 466.09/63.41 # Starting sh5l with 300s (1) cores
% 466.09/63.41 # SinE strategy is gf500_gu_R04_F100_L20000
% 466.09/63.41 # Search class: FGHSM-SMLM32-DFFFFFNN
% 466.09/63.41 # Scheduled 13 strats onto 1 cores with 298 seconds (298 total)
% 466.09/63.41 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 23s (1) cores
% 466.09/63.41 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 24577 completed with status 7
% 466.09/63.41 # Starting sh5l with 30s (1) cores
% 466.09/63.41 # sh5l with pid 25502 completed with status 7
% 466.09/63.41 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 23s (1) cores
% 466.09/63.41 # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 27039 completed with status 0
% 466.09/63.41 # Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 466.09/63.41 # Preprocessing class: FMLLSMLLSSSNFFN.
% 466.09/63.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 466.09/63.41 # Starting new_bool_3 with 900s (3) cores
% 466.09/63.41 # Starting new_bool_1 with 900s (3) cores
% 466.09/63.41 # Starting sh5l with 300s (1) cores
% 466.09/63.41 # SinE strategy is gf500_gu_R04_F100_L20000
% 466.09/63.41 # Search class: FGHSM-SMLM32-DFFFFFNN
% 466.09/63.41 # Scheduled 13 strats onto 1 cores with 298 seconds (298 total)
% 466.09/63.41 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 23s (1) cores
% 466.09/63.41 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 24577 completed with status 7
% 466.09/63.41 # Starting sh5l with 30s (1) cores
% 466.09/63.41 # sh5l with pid 25502 completed with status 7
% 466.09/63.41 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 23s (1) cores
% 466.09/63.41 # Preprocessing time : 0.272 s
% 466.09/63.41 # SatCheck found unsatisfiable ground set
% 466.09/63.41
% 466.09/63.41 # Proof found!
% 466.09/63.41 # SZS status Theorem
% 466.09/63.41 # SZS output start CNFRefutation
% See solution above
% 466.09/63.41 # Parsed axioms : 13646
% 466.09/63.41 # Removed by relevancy pruning/SinE : 6227
% 466.09/63.41 # Initial clauses : 18351
% 466.09/63.41 # Removed in clause preprocessing : 569
% 466.09/63.41 # Initial clauses in saturation : 17782
% 466.09/63.41 # Processed clauses : 5589
% 466.09/63.41 # ...of these trivial : 175
% 466.09/63.41 # ...subsumed : 414
% 466.09/63.41 # ...remaining for further processing : 5000
% 466.09/63.41 # Other redundant clauses eliminated : 198
% 466.09/63.41 # Clauses deleted for lack of memory : 0
% 466.09/63.41 # Backward-subsumed : 5
% 466.09/63.41 # Backward-rewritten : 25
% 466.09/63.41 # Generated clauses : 54871
% 466.09/63.41 # ...of the previous two non-redundant : 51203
% 466.09/63.41 # ...aggressively subsumed : 0
% 466.09/63.41 # Contextual simplify-reflections : 114
% 466.09/63.41 # Paramodulations : 54678
% 466.09/63.41 # Factorizations : 1
% 466.09/63.41 # NegExts : 0
% 466.09/63.41 # Equation resolutions : 207
% 466.09/63.41 # Total rewrite steps : 9149
% 466.09/63.41 # Propositional unsat checks : 1
% 466.09/63.41 # Propositional check models : 0
% 466.09/63.41 # Propositional check unsatisfiable : 1
% 466.09/63.41 # Propositional clauses : 68226
% 466.09/63.41 # Propositional clauses after purity: 14332
% 466.09/63.41 # Propositional unsat core size : 22
% 466.09/63.41 # Propositional preprocessing time : 0.000
% 466.09/63.41 # Propositional encoding time : 0.140
% 466.09/63.41 # Propositional solver time : 0.086
% 466.09/63.41 # Success case prop preproc time : 0.000
% 466.09/63.41 # Success case prop encoding time : 0.140
% 466.09/63.41 # Success case prop solver time : 0.086
% 466.09/63.41 # Current number of processed clauses : 4830
% 466.09/63.41 # Positive orientable unit clauses : 1269
% 466.09/63.41 # Positive unorientable unit clauses: 8
% 466.09/63.41 # Negative unit clauses : 157
% 466.09/63.41 # Non-unit-clauses : 3396
% 466.09/63.41 # Current number of unprocessed clauses: 63396
% 466.09/63.41 # ...number of literals in the above : 306025
% 466.09/63.41 # Current number of archived formulas : 0
% 466.09/63.41 # Current number of archived clauses : 30
% 466.09/63.41 # Clause-clause subsumption calls (NU) : 4617554
% 466.09/63.41 # Rec. Clause-clause subsumption calls : 1175745
% 466.09/63.41 # Non-unit clause-clause subsumptions : 500
% 466.09/63.41 # Unit Clause-clause subsumption calls : 211652
% 466.09/63.41 # Rewrite failures with RHS unbound : 0
% 466.09/63.41 # BW rewrite match attempts : 144
% 466.09/63.41 # BW rewrite match successes : 112
% 466.09/63.41 # Condensation attempts : 0
% 466.09/63.41 # Condensation successes : 0
% 466.09/63.41 # Termbank termtop insertions : 3103010
% 466.09/63.41
% 466.09/63.41 # -------------------------------------------------
% 466.09/63.41 # User time : 56.481 s
% 466.09/63.41 # System time : 0.462 s
% 466.09/63.41 # Total time : 56.943 s
% 466.09/63.41 # Maximum resident set size: 87756 pages
% 466.09/63.41
% 466.09/63.41 # -------------------------------------------------
% 466.09/63.41 # User time : 56.854 s
% 466.09/63.41 # System time : 0.484 s
% 466.09/63.41 # Total time : 57.337 s
% 466.09/63.41 # Maximum resident set size: 20068 pages
% 466.09/63.41 % E---3.1 exiting
% 466.09/63.41 % E---3.1 exiting
%------------------------------------------------------------------------------