TSTP Solution File: LAT319+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT319+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n005.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 : 600s
% DateTime : Sun Jul 17 04:47:01 EDT 2022
% Result : Theorem 0.20s 1.39s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 66 ( 7 unt; 0 def)
% Number of atoms : 569 ( 0 equ)
% Maximal formula atoms : 70 ( 8 avg)
% Number of connectives : 809 ( 306 ~; 357 |; 126 &)
% ( 7 <=>; 13 =>; 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 : 49 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t65_lattice2) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc6_lattice2) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc5_lattices) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t54_filter_2) ).
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,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> epred1_1(X1) ),
inference(apply_def,[status(thm)],[t53_filter_2,c_0_8]) ).
fof(c_0_11,plain,
! [X2] :
( ( ~ v3_struct_0(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v10_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v11_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( l3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( ~ v3_struct_0(X2)
| v3_struct_0(k1_lattice2(X2))
| ~ v10_lattices(k1_lattice2(X2))
| ~ v11_lattices(k1_lattice2(X2))
| ~ l3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v10_lattices(X2)
| v3_struct_0(k1_lattice2(X2))
| ~ v10_lattices(k1_lattice2(X2))
| ~ v11_lattices(k1_lattice2(X2))
| ~ l3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v11_lattices(X2)
| v3_struct_0(k1_lattice2(X2))
| ~ v10_lattices(k1_lattice2(X2))
| ~ v11_lattices(k1_lattice2(X2))
| ~ l3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( l3_lattices(X2)
| v3_struct_0(k1_lattice2(X2))
| ~ v10_lattices(k1_lattice2(X2))
| ~ v11_lattices(k1_lattice2(X2))
| ~ l3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t65_lattice2])])])]) ).
fof(c_0_12,plain,
! [X2] :
( ( ~ v3_struct_0(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2)
| ~ epred1_1(X2) )
& ( v10_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2)
| ~ epred1_1(X2) )
& ( v15_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2)
| ~ epred1_1(X2) )
& ( v16_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2)
| ~ epred1_1(X2) )
& ( l3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2)
| ~ epred1_1(X2) )
& ( ~ v3_struct_0(X2)
| v3_struct_0(k1_lattice2(X2))
| ~ v10_lattices(k1_lattice2(X2))
| ~ v15_lattices(k1_lattice2(X2))
| ~ v16_lattices(k1_lattice2(X2))
| ~ l3_lattices(k1_lattice2(X2))
| ~ epred1_1(X2) )
& ( v10_lattices(X2)
| v3_struct_0(k1_lattice2(X2))
| ~ v10_lattices(k1_lattice2(X2))
| ~ v15_lattices(k1_lattice2(X2))
| ~ v16_lattices(k1_lattice2(X2))
| ~ l3_lattices(k1_lattice2(X2))
| ~ epred1_1(X2) )
& ( v15_lattices(X2)
| v3_struct_0(k1_lattice2(X2))
| ~ v10_lattices(k1_lattice2(X2))
| ~ v15_lattices(k1_lattice2(X2))
| ~ v16_lattices(k1_lattice2(X2))
| ~ l3_lattices(k1_lattice2(X2))
| ~ epred1_1(X2) )
& ( v16_lattices(X2)
| v3_struct_0(k1_lattice2(X2))
| ~ v10_lattices(k1_lattice2(X2))
| ~ v15_lattices(k1_lattice2(X2))
| ~ v16_lattices(k1_lattice2(X2))
| ~ l3_lattices(k1_lattice2(X2))
| ~ epred1_1(X2) )
& ( l3_lattices(X2)
| v3_struct_0(k1_lattice2(X2))
| ~ v10_lattices(k1_lattice2(X2))
| ~ v15_lattices(k1_lattice2(X2))
| ~ v16_lattices(k1_lattice2(X2))
| ~ l3_lattices(k1_lattice2(X2))
| ~ epred1_1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_9])])])]) ).
fof(c_0_13,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| epred1_1(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_10])])]) ).
fof(c_0_14,plain,
! [X2] :
( ( v3_lattices(k1_lattice2(X2))
| ~ l3_lattices(X2) )
& ( l3_lattices(k1_lattice2(X2))
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
fof(c_0_15,plain,
! [X2] :
( ( ~ v3_struct_0(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v4_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v5_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v6_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v7_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v8_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v9_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v10_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc6_lattice2])])])]) ).
fof(c_0_16,plain,
! [X2] :
( ( ~ v3_struct_0(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2) )
& ( v3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_lattice2])])])]) ).
fof(c_0_17,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v11_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2) )
& ( v17_lattices(X2)
| v3_struct_0(X2)
| ~ v11_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc6_lattices])])])]) ).
cnf(c_0_18,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| v11_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,plain,
( v3_struct_0(X1)
| v15_lattices(k1_lattice2(X1))
| ~ epred1_1(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
( epred1_1(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_21,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) )
& ( v11_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) )
& ( v13_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) )
& ( v14_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) )
& ( v15_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) )
& ( v16_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc5_lattices])])])]) ).
cnf(c_0_22,plain,
( v3_struct_0(X1)
| v3_struct_0(k1_lattice2(X1))
| v11_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(k1_lattice2(X1))
| ~ v11_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_23,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_26,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(assume_negation,[status(cth)],[t54_filter_2]) ).
cnf(c_0_27,plain,
( v3_struct_0(X1)
| v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v11_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_28,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_18]) ).
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_19,c_0_20]) ).
cnf(c_0_30,plain,
( v3_struct_0(X1)
| v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,plain,
( v3_struct_0(X1)
| v15_lattices(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_32,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_22,c_0_23]),c_0_24]),c_0_25]) ).
cnf(c_0_33,plain,
( v3_struct_0(X1)
| v11_lattices(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_34,plain,
( v3_struct_0(k1_lattice2(X1))
| v16_lattices(X1)
| ~ epred1_1(X1)
| ~ l3_lattices(k1_lattice2(X1))
| ~ v16_lattices(k1_lattice2(X1))
| ~ v15_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_35,plain,
( v3_struct_0(k1_lattice2(X1))
| v15_lattices(X1)
| ~ epred1_1(X1)
| ~ l3_lattices(k1_lattice2(X1))
| ~ v16_lattices(k1_lattice2(X1))
| ~ v15_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_36,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)],[inference(fof_simplification,[status(thm)],[c_0_26])])])])]) ).
cnf(c_0_37,plain,
( v17_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v16_lattices(k1_lattice2(X1))
| ~ v11_lattices(X1)
| ~ v15_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_23]),c_0_25]) ).
cnf(c_0_38,plain,
( v15_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_39,plain,
( v3_struct_0(X1)
| v16_lattices(k1_lattice2(X1))
| ~ epred1_1(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_40,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_32,c_0_33]),c_0_23]),c_0_25]) ).
cnf(c_0_41,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_34,c_0_20]),c_0_24]),c_0_23]),c_0_25]) ).
cnf(c_0_42,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_35,c_0_20]),c_0_24]),c_0_23]),c_0_25]) ).
cnf(c_0_43,negated_conjecture,
( v17_lattices(esk1_0)
| v17_lattices(k1_lattice2(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,negated_conjecture,
( v17_lattices(esk1_0)
| l3_lattices(k1_lattice2(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,negated_conjecture,
( v17_lattices(esk1_0)
| ~ v3_struct_0(k1_lattice2(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_46,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| v3_struct_0(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(esk1_0)
| ~ v17_lattices(esk1_0)
| ~ v10_lattices(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_47,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_48,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_49,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_50,plain,
( v17_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v16_lattices(k1_lattice2(X1))
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_33]),c_0_38]) ).
cnf(c_0_51,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_39,c_0_20]) ).
cnf(c_0_52,plain,
( v17_lattices(X1)
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_40]) ).
cnf(c_0_53,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_41,c_0_30]),c_0_23]),c_0_25]) ).
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_42,c_0_30]),c_0_23]),c_0_25]) ).
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_31,c_0_43]),c_0_44]),c_0_45]) ).
cnf(c_0_56,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_46,c_0_47]),c_0_48])]),c_0_49]) ).
cnf(c_0_57,plain,
( v17_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_31]),c_0_30]) ).
cnf(c_0_58,plain,
( v17_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(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).
cnf(c_0_59,negated_conjecture,
v15_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_38,c_0_55]),c_0_48]),c_0_47])]),c_0_49]) ).
cnf(c_0_60,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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_48]),c_0_47])]),c_0_49]) ).
cnf(c_0_61,negated_conjecture,
v17_lattices(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_58,c_0_43]),c_0_59]),c_0_48]),c_0_47])]),c_0_49]) ).
cnf(c_0_62,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_60,c_0_61])]) ).
cnf(c_0_63,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_62,c_0_24]),c_0_48]),c_0_47])]),c_0_49]) ).
cnf(c_0_64,negated_conjecture,
~ l3_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_63]),c_0_48])]),c_0_49]) ).
cnf(c_0_65,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_23]),c_0_48])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT319+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.31 % Computer : n005.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 600
% 0.12/0.31 % DateTime : Thu Jun 30 01:58:52 EDT 2022
% 0.16/0.31 % CPUTime :
% 0.20/1.39 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.20/1.39 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.20/1.39 # Preprocessing time : 0.025 s
% 0.20/1.39
% 0.20/1.39 # Proof found!
% 0.20/1.39 # SZS status Theorem
% 0.20/1.39 # SZS output start CNFRefutation
% See solution above
% 0.20/1.39 # Proof object total steps : 66
% 0.20/1.39 # Proof object clause steps : 45
% 0.20/1.39 # Proof object formula steps : 21
% 0.20/1.39 # Proof object conjectures : 19
% 0.20/1.39 # Proof object clause conjectures : 16
% 0.20/1.39 # Proof object formula conjectures : 3
% 0.20/1.39 # Proof object initial clauses used : 21
% 0.20/1.39 # Proof object initial formulas used : 8
% 0.20/1.39 # Proof object generating inferences : 18
% 0.20/1.39 # Proof object simplifying inferences : 55
% 0.20/1.39 # Training examples: 0 positive, 0 negative
% 0.20/1.39 # Parsed axioms : 77
% 0.20/1.39 # Removed by relevancy pruning/SinE : 25
% 0.20/1.39 # Initial clauses : 186
% 0.20/1.39 # Removed in clause preprocessing : 9
% 0.20/1.39 # Initial clauses in saturation : 177
% 0.20/1.39 # Processed clauses : 271
% 0.20/1.39 # ...of these trivial : 14
% 0.20/1.39 # ...subsumed : 27
% 0.20/1.39 # ...remaining for further processing : 230
% 0.20/1.39 # Other redundant clauses eliminated : 1
% 0.20/1.39 # Clauses deleted for lack of memory : 0
% 0.20/1.39 # Backward-subsumed : 15
% 0.20/1.39 # Backward-rewritten : 15
% 0.20/1.39 # Generated clauses : 182
% 0.20/1.39 # ...of the previous two non-trivial : 130
% 0.20/1.39 # Contextual simplify-reflections : 78
% 0.20/1.39 # Paramodulations : 177
% 0.20/1.39 # Factorizations : 0
% 0.20/1.39 # Equation resolutions : 5
% 0.20/1.39 # Current number of processed clauses : 200
% 0.20/1.39 # Positive orientable unit clauses : 89
% 0.20/1.39 # Positive unorientable unit clauses: 0
% 0.20/1.39 # Negative unit clauses : 11
% 0.20/1.39 # Non-unit-clauses : 100
% 0.20/1.39 # Current number of unprocessed clauses: 27
% 0.20/1.39 # ...number of literals in the above : 257
% 0.20/1.39 # Current number of archived formulas : 0
% 0.20/1.39 # Current number of archived clauses : 30
% 0.20/1.39 # Clause-clause subsumption calls (NU) : 7164
% 0.20/1.39 # Rec. Clause-clause subsumption calls : 1134
% 0.20/1.39 # Non-unit clause-clause subsumptions : 104
% 0.20/1.39 # Unit Clause-clause subsumption calls : 725
% 0.20/1.39 # Rewrite failures with RHS unbound : 0
% 0.20/1.39 # BW rewrite match attempts : 31
% 0.20/1.39 # BW rewrite match successes : 10
% 0.20/1.39 # Condensation attempts : 0
% 0.20/1.39 # Condensation successes : 0
% 0.20/1.39 # Termbank termtop insertions : 13001
% 0.20/1.39
% 0.20/1.39 # -------------------------------------------------
% 0.20/1.39 # User time : 0.040 s
% 0.20/1.39 # System time : 0.005 s
% 0.20/1.39 # Total time : 0.045 s
% 0.20/1.39 # Maximum resident set size: 3820 pages
%------------------------------------------------------------------------------