%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LAT300+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n024.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 Jul 24 10:34:22 PM UTC 2025
% Result : Theorem 3.07s 0.73s
% Output : CNFRefutation 3.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 44 ( 24 unt; 0 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 109 ( 46 ~; 41 |; 12 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 30 ( 0 sgn 14 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t24_filter_2,plain,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m2_filter_2(B,A)
=> ? [C] :
( m1_subset_1(C,u1_struct_0(A))
& r2_hidden(C,B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_filter_2) ).
fof(t24_filter_2_negated,plain,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m2_filter_2(B,A)
=> ? [C] :
( m1_subset_1(C,u1_struct_0(A))
& r2_hidden(C,B) ) ) ),
inference(negate_conjecture,[status(cth)],[t24_filter_2]) ).
cnf(4,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ r2_hidden(X0,sK2) ),
inference(cnf,[status(esa)],[t24_filter_2_negated]) ).
cnf(l0,plain,
( ~ m1_subset_1(sK8(sK2),u1_struct_0(sK1))
| ~ r2_hidden(sK8(sK2),sK2) ),
inference(instantiation,[status(thm)],[4]) ).
fof(t2_subset,plain,
! [A,B] :
( m1_subset_1(A,B)
=> ( v1_xboole_0(B)
| r2_hidden(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
cnf(49,plain,
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) ),
inference(cnf,[status(esa)],[t2_subset]) ).
cnf(l296,plain,
( ~ m1_subset_1(sK8(sK2),sK2)
| v1_xboole_0(sK2)
| r2_hidden(sK8(sK2),sK2) ),
inference(instantiation,[status(thm)],[49]) ).
fof(existence_m1_subset_1,plain,
! [A] :
? [B] : m1_subset_1(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
cnf(27,plain,
m1_subset_1(sK8(X0),X0),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
cnf(l298,plain,
m1_subset_1(sK8(sK2),sK2),
inference(instantiation,[status(thm)],[27]) ).
fof(t4_subset,plain,
! [A,B,C] :
( ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C)) )
=> m1_subset_1(A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
cnf(52,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r2_hidden(X2,X0)
| m1_subset_1(X2,X1) ),
inference(cnf,[status(esa)],[t4_subset]) ).
cnf(l1,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r2_hidden(sK8(sK2),sK2)
| m1_subset_1(sK8(sK2),u1_struct_0(sK1)) ),
inference(instantiation,[status(thm)],[52]) ).
fof(dt_m2_lattice4,plain,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m2_lattice4(B,A)
=> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
cnf(21,plain,
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_lattice4(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0) ),
inference(cnf,[status(esa)],[dt_m2_lattice4]) ).
cnf(l2,plain,
( ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m2_lattice4(sK2,sK1)
| m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(0,plain,
~ v3_struct_0(sK1),
inference(cnf,[status(esa)],[t24_filter_2_negated]) ).
cnf(l101,plain,
~ v3_struct_0(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l13,plain,
( ~ m1_subset_1(sK8(sK2),sK2)
| v1_xboole_0(sK2)
| r2_hidden(sK8(sK2),sK2) ),
inference(instantiation,[status(thm)],[49]) ).
fof(dt_m2_filter_2,plain,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m2_filter_2(B,A)
=> ( ~ v1_xboole_0(B)
& m2_lattice4(B,A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
cnf(19,plain,
( ~ m2_filter_2(X0,X1)
| ~ v1_xboole_0(X0)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1) ),
inference(cnf,[status(esa)],[dt_m2_filter_2]) ).
cnf(l41,plain,
( ~ m2_filter_2(sK2,sK1)
| ~ v1_xboole_0(sK2)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(2,plain,
l3_lattices(sK1),
inference(cnf,[status(esa)],[t24_filter_2_negated]) ).
cnf(l230,plain,
l3_lattices(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,plain,
m2_filter_2(sK2,sK1),
inference(cnf,[status(esa)],[t24_filter_2_negated]) ).
cnf(l52,plain,
m2_filter_2(sK2,sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(1,plain,
v10_lattices(sK1),
inference(cnf,[status(esa)],[t24_filter_2_negated]) ).
cnf(l128,plain,
v10_lattices(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l63,plain,
~ v3_struct_0(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(20,plain,
( ~ m2_filter_2(X0,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| m2_lattice4(X0,X1) ),
inference(cnf,[status(esa)],[dt_m2_filter_2]) ).
cnf(l49,plain,
( ~ m2_filter_2(sK2,sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| v3_struct_0(sK1)
| m2_lattice4(sK2,sK1) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l5,plain,
v10_lattices(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l38,plain,
m1_subset_1(sK8(sK2),sK2),
inference(instantiation,[status(thm)],[27]) ).
cnf(l4,plain,
l3_lattices(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l74,plain,
~ v3_struct_0(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l51,plain,
m2_filter_2(sK2,sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l297,plain,
( ~ m2_filter_2(sK2,sK1)
| ~ v1_xboole_0(sK2)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l363,plain,
~ v3_struct_0(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l50,plain,
v10_lattices(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l364,plain,
l3_lattices(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l84,plain,
l3_lattices(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l359,plain,
v10_lattices(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l300,plain,
m2_filter_2(sK2,sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l296,l298,l1,l2,l101,l13,l41,l230,l52,l128,l63,l49,l5,l38,l4,l74,l51,l297,l363,l50,l364,l84,l359,l300]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LAT300+1 : TPTP v9.0.0. Released v3.4.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 00:15:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.40 % launching worker at depth: 11
% 3.07/0.73 % SZS status Theorem for theBenchmark
% 3.07/0.73 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------