%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU408+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n029.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 : Fri Jul 25 03:45:24 PM UTC 2025
% Result : Theorem 12.86s 1.95s
% Output : CNFRefutation 12.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 13 unt; 0 def)
% Number of atoms : 99 ( 10 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 104 ( 35 ~; 27 |; 27 &)
% ( 3 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-6 aty)
% Number of variables : 32 ( 1 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t11_latsum_1,plain,
! [A] :
( ( ~ v3_struct_0(A)
& v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( r2_hidden(C,u1_struct_0(B))
=> m1_subset_1(C,u1_struct_0(k1_latsum_1(A,B))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_latsum_1) ).
fof(t11_latsum_1_negated,plain,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( r2_hidden(C,u1_struct_0(B))
=> m1_subset_1(C,u1_struct_0(k1_latsum_1(A,B))) ) ) ),
inference(negate_conjecture,[status(cth)],[t11_latsum_1]) ).
cnf(5,plain,
l1_orders_2(sK1),
inference(cnf,[status(esa)],[t11_latsum_1_negated]) ).
cnf(l0,plain,
l1_orders_2(sK1),
inference(instantiation,[status(thm)],[5]) ).
fof(d2_latsum_1,plain,
! [A] :
( l1_orders_2(A)
=> ! [B] :
( l1_orders_2(B)
=> ! [C] :
( ( v1_orders_2(C)
& l1_orders_2(C) )
=> ( C = k1_latsum_1(A,B)
<=> ( u1_struct_0(C) = k2_xboole_0(u1_struct_0(A),u1_struct_0(B))
& u1_orders_2(C) = k2_xboole_0(k2_xboole_0(u1_orders_2(A),u1_orders_2(B)),k7_relset_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_orders_2(A),u1_orders_2(B))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_latsum_1) ).
cnf(18,plain,
( ~ v1_orders_2(X0)
| X0 != k1_latsum_1(X1,X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X0)
| u1_struct_0(X0) = k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf,[status(esa)],[d2_latsum_1]) ).
cnf(l1,plain,
( ~ v1_orders_2(k1_latsum_1(sK1,sK2))
| k1_latsum_1(sK1,sK2) != k1_latsum_1(sK1,sK2)
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(k1_latsum_1(sK1,sK2))
| u1_struct_0(k1_latsum_1(sK1,sK2)) = k2_xboole_0(u1_struct_0(sK1),u1_struct_0(sK2)) ),
inference(instantiation,[status(thm)],[18]) ).
fof(fc2_latsum_1,plain,
! [A,B] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A)
& l1_orders_2(B) )
=> ( ~ v3_struct_0(k1_latsum_1(A,B))
& v1_orders_2(k1_latsum_1(A,B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_latsum_1) ).
cnf(48,plain,
( ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| v1_orders_2(k1_latsum_1(X0,X1))
| v3_struct_0(X0) ),
inference(cnf,[status(esa)],[fc2_latsum_1]) ).
cnf(l2,plain,
( ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK2)
| v1_orders_2(k1_latsum_1(sK1,sK2))
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[48]) ).
fof(dt_k1_latsum_1,plain,
! [A,B] :
( ( l1_orders_2(A)
& l1_orders_2(B) )
=> ( v1_orders_2(k1_latsum_1(A,B))
& l1_orders_2(k1_latsum_1(A,B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsum_1) ).
cnf(32,plain,
( ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| l1_orders_2(k1_latsum_1(X0,X1)) ),
inference(cnf,[status(esa)],[dt_k1_latsum_1]) ).
cnf(l100,plain,
( ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK2)
| l1_orders_2(k1_latsum_1(sK1,sK2)) ),
inference(instantiation,[status(thm)],[32]) ).
cnf(11,plain,
l1_orders_2(sK2),
inference(cnf,[status(esa)],[t11_latsum_1_negated]) ).
cnf(l4,plain,
l1_orders_2(sK2),
inference(instantiation,[status(thm)],[11]) ).
cnf(0,plain,
~ v3_struct_0(sK1),
inference(cnf,[status(esa)],[t11_latsum_1_negated]) ).
cnf(l179,plain,
~ v3_struct_0(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l105,plain,
l1_orders_2(sK2),
inference(instantiation,[status(thm)],[11]) ).
cnf(l108,plain,
l1_orders_2(sK2),
inference(instantiation,[status(thm)],[11]) ).
fof(d2_xboole_0,plain,
! [A,B,C] :
( C = k2_xboole_0(A,B)
<=> ! [D] :
( r2_hidden(D,C)
<=> ( r2_hidden(D,A)
| r2_hidden(D,B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
cnf(23,plain,
( X0 != k2_xboole_0(X1,X2)
| ~ r2_hidden(X3,X2)
| r2_hidden(X3,X0) ),
inference(cnf,[status(esa)],[d2_xboole_0]) ).
cnf(l90,plain,
( u1_struct_0(k1_latsum_1(sK1,sK2)) != k2_xboole_0(u1_struct_0(sK1),u1_struct_0(sK2))
| ~ r2_hidden(sK3,u1_struct_0(sK2))
| r2_hidden(sK3,u1_struct_0(k1_latsum_1(sK1,sK2))) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(12,plain,
r2_hidden(sK3,u1_struct_0(sK2)),
inference(cnf,[status(esa)],[t11_latsum_1_negated]) ).
cnf(l98,plain,
r2_hidden(sK3,u1_struct_0(sK2)),
inference(instantiation,[status(thm)],[12]) ).
fof(t1_subset,plain,
! [A,B] :
( r2_hidden(A,B)
=> m1_subset_1(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
cnf(65,plain,
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf,[status(esa)],[t1_subset]) ).
cnf(l91,plain,
( ~ r2_hidden(sK3,u1_struct_0(k1_latsum_1(sK1,sK2)))
| m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK1,sK2))) ),
inference(instantiation,[status(thm)],[65]) ).
cnf(13,plain,
~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK1,sK2))),
inference(cnf,[status(esa)],[t11_latsum_1_negated]) ).
cnf(l92,plain,
~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK1,sK2))),
inference(instantiation,[status(thm)],[13]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l100,l4,l179,l105,l108,l90,l98,l91,l92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SEU408+1 : TPTP v9.0.0. Released v3.4.0.
% 0.02/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.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 : Tue Jul 22 01:31:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.36 % launching worker at depth: 10
% 1.79/0.61 % launching worker at depth: 11
% 12.86/1.95 % SZS status Theorem for theBenchmark
% 12.86/1.95 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------