%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU413+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 : n017.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 03:45:25 PM UTC 2025
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 21 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 80 ( 27 ~; 24 |; 11 &)
% ( 1 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t23_latsum_1,plain,
! [A] :
( l1_orders_2(A)
=> ! [B] :
( l1_orders_2(B)
=> ! [C] :
( m1_subset_1(C,u1_struct_0(k1_latsum_1(A,B)))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(k1_latsum_1(A,B)))
=> ( ( v12_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B)
& m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B)))
& r1_orders_2(k1_latsum_1(A,B),C,D)
& r2_hidden(D,u1_struct_0(A)) )
=> r2_hidden(C,u1_struct_0(A)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_latsum_1) ).
fof(t23_latsum_1_negated,plain,
~ ! [A] :
( l1_orders_2(A)
=> ! [B] :
( l1_orders_2(B)
=> ! [C] :
( m1_subset_1(C,u1_struct_0(k1_latsum_1(A,B)))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(k1_latsum_1(A,B)))
=> ( ( v12_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B)
& m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B)))
& r1_orders_2(k1_latsum_1(A,B),C,D)
& r2_hidden(D,u1_struct_0(A)) )
=> r2_hidden(C,u1_struct_0(A)) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[t23_latsum_1]) ).
cnf(2,plain,
m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK1,sK2))),
inference(cnf,[status(esa)],[t23_latsum_1_negated]) ).
cnf(l0,plain,
m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK1,sK2))),
inference(instantiation,[status(thm)],[2]) ).
fof(d9_orders_2,plain,
! [A] :
( l1_orders_2(A)
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( r1_orders_2(A,B,C)
<=> r2_hidden(k4_tarski(B,C),u1_orders_2(A)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_orders_2) ).
cnf(13,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r1_orders_2(X1,X0,X2)
| ~ l1_orders_2(X1)
| r2_hidden(k4_tarski(X0,X2),u1_orders_2(X1)) ),
inference(cnf,[status(esa)],[d9_orders_2]) ).
cnf(l1,plain,
( ~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK1,sK2)))
| ~ m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK1,sK2)))
| ~ r1_orders_2(k1_latsum_1(sK1,sK2),sK3,sK4)
| ~ l1_orders_2(k1_latsum_1(sK1,sK2))
| r2_hidden(k4_tarski(sK3,sK4),u1_orders_2(k1_latsum_1(sK1,sK2))) ),
inference(instantiation,[status(thm)],[13]) ).
fof(t21_latsum_1,plain,
! [A] :
( l1_orders_2(A)
=> ! [B] :
( l1_orders_2(B)
=> ! [C,D] :
( ( v12_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B)
& m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B)))
& r2_hidden(k4_tarski(C,D),u1_orders_2(k1_latsum_1(A,B)))
& r2_hidden(D,u1_struct_0(A)) )
=> r2_hidden(C,u1_struct_0(A)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_latsum_1) ).
cnf(37,plain,
( ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
| ~ r2_hidden(X2,u1_struct_0(X0))
| ~ r2_hidden(k4_tarski(X3,X2),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| r2_hidden(X3,u1_struct_0(X0)) ),
inference(cnf,[status(esa)],[t21_latsum_1]) ).
cnf(l21,plain,
( ~ m1_subset_1(k3_xboole_0(u1_struct_0(sK1),u1_struct_0(sK2)),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(sK1),u1_struct_0(sK2)),sK2)
| ~ r2_hidden(sK4,u1_struct_0(sK1))
| ~ r2_hidden(k4_tarski(sK3,sK4),u1_orders_2(k1_latsum_1(sK1,sK2)))
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK2)
| r2_hidden(sK3,u1_struct_0(sK1)) ),
inference(instantiation,[status(thm)],[37]) ).
cnf(7,plain,
r2_hidden(sK4,u1_struct_0(sK1)),
inference(cnf,[status(esa)],[t23_latsum_1_negated]) ).
cnf(l37,plain,
r2_hidden(sK4,u1_struct_0(sK1)),
inference(instantiation,[status(thm)],[7]) ).
cnf(1,plain,
l1_orders_2(sK2),
inference(cnf,[status(esa)],[t23_latsum_1_negated]) ).
cnf(l38,plain,
l1_orders_2(sK2),
inference(instantiation,[status(thm)],[1]) ).
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(18,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(l6,plain,
( ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK2)
| l1_orders_2(k1_latsum_1(sK1,sK2)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(0,plain,
l1_orders_2(sK1),
inference(cnf,[status(esa)],[t23_latsum_1_negated]) ).
cnf(l10,plain,
l1_orders_2(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l13,plain,
l1_orders_2(sK2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l30,plain,
l1_orders_2(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(5,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sK1),u1_struct_0(sK2)),k1_zfmisc_1(u1_struct_0(sK2))),
inference(cnf,[status(esa)],[t23_latsum_1_negated]) ).
cnf(l26,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sK1),u1_struct_0(sK2)),k1_zfmisc_1(u1_struct_0(sK2))),
inference(instantiation,[status(thm)],[5]) ).
cnf(6,plain,
r1_orders_2(k1_latsum_1(sK1,sK2),sK3,sK4),
inference(cnf,[status(esa)],[t23_latsum_1_negated]) ).
cnf(l12,plain,
r1_orders_2(k1_latsum_1(sK1,sK2),sK3,sK4),
inference(instantiation,[status(thm)],[6]) ).
cnf(8,plain,
~ r2_hidden(sK3,u1_struct_0(sK1)),
inference(cnf,[status(esa)],[t23_latsum_1_negated]) ).
cnf(l39,plain,
~ r2_hidden(sK3,u1_struct_0(sK1)),
inference(instantiation,[status(thm)],[8]) ).
cnf(3,plain,
m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK1,sK2))),
inference(cnf,[status(esa)],[t23_latsum_1_negated]) ).
cnf(l2,plain,
m1_subset_1(sK4,u1_struct_0(k1_latsum_1(sK1,sK2))),
inference(instantiation,[status(thm)],[3]) ).
cnf(4,plain,
v12_waybel_0(k3_xboole_0(u1_struct_0(sK1),u1_struct_0(sK2)),sK2),
inference(cnf,[status(esa)],[t23_latsum_1_negated]) ).
cnf(l22,plain,
v12_waybel_0(k3_xboole_0(u1_struct_0(sK1),u1_struct_0(sK2)),sK2),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l21,l37,l38,l6,l10,l13,l30,l26,l12,l39,l2,l22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU413+1 : TPTP v9.0.0. Released v3.4.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 22 01:37:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------