%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : TOP026+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 : n018.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 10:10:28 PM UTC 2025
% Result : Theorem 0.15s 0.36s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 19 unt; 0 def)
% Number of atoms : 78 ( 7 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 78 ( 30 ~; 24 |; 9 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 20 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t7_tsp_2,plain,
! [A] :
( ( ~ v3_struct_0(A)
& v2_pre_topc(A)
& l1_pre_topc(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_tsp_2(B,A)
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> k6_pre_topc(A,C) = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,C))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_tsp_2) ).
fof(t7_tsp_2_negated,plain,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v2_pre_topc(A)
& l1_pre_topc(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_tsp_2(B,A)
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> k6_pre_topc(A,C) = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,C))) ) ) ) ),
inference(negate_conjecture,[status(cth)],[t7_tsp_2]) ).
cnf(0,plain,
~ v3_struct_0(sK1),
inference(cnf,[status(esa)],[t7_tsp_2_negated]) ).
cnf(l0,plain,
~ v3_struct_0(sK1),
inference(instantiation,[status(thm)],[0]) ).
fof(t5_tsp_2,plain,
! [A] :
( ( ~ v3_struct_0(A)
& v2_pre_topc(A)
& l1_pre_topc(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_tsp_2(B,A)
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> ( v4_pre_topc(C,A)
=> C = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,C)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tsp_2) ).
cnf(170,plain,
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(X1,X0)
| ~ v4_pre_topc(X2,X0)
| X2 = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2))
| v3_struct_0(X0) ),
inference(cnf,[status(esa)],[t5_tsp_2]) ).
cnf(l1,plain,
( ~ l1_pre_topc(sK1)
| ~ v2_pre_topc(sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(k6_pre_topc(sK1,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_tsp_2(sK2,sK1)
| ~ v4_pre_topc(k6_pre_topc(sK1,sK3),sK1)
| k6_pre_topc(sK1,sK3) = k3_tex_4(sK1,k5_subset_1(u1_struct_0(sK1),sK2,k6_pre_topc(sK1,sK3)))
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[170]) ).
cnf(4,plain,
v1_tsp_2(sK2,sK1),
inference(cnf,[status(esa)],[t7_tsp_2_negated]) ).
cnf(l27,plain,
v1_tsp_2(sK2,sK1),
inference(instantiation,[status(thm)],[4]) ).
cnf(2,plain,
l1_pre_topc(sK1),
inference(cnf,[status(esa)],[t7_tsp_2_negated]) ).
cnf(l5,plain,
l1_pre_topc(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
v2_pre_topc(sK1),
inference(cnf,[status(esa)],[t7_tsp_2_negated]) ).
cnf(l20,plain,
v2_pre_topc(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(3,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf,[status(esa)],[t7_tsp_2_negated]) ).
cnf(l2,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))),
inference(instantiation,[status(thm)],[3]) ).
fof(fc2_tops_1,plain,
! [A,B] :
( ( v2_pre_topc(A)
& l1_pre_topc(A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
=> v4_pre_topc(k6_pre_topc(A,B),A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_tops_1) ).
cnf(165,plain,
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v4_pre_topc(k6_pre_topc(X0,X1),X0) ),
inference(cnf,[status(esa)],[fc2_tops_1]) ).
cnf(l29,plain,
( ~ l1_pre_topc(sK1)
| ~ v2_pre_topc(sK1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| v4_pre_topc(k6_pre_topc(sK1,sK3),sK1) ),
inference(instantiation,[status(thm)],[165]) ).
cnf(l30,plain,
v2_pre_topc(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(6,plain,
k6_pre_topc(sK1,sK3) != k3_tex_4(sK1,k5_subset_1(u1_struct_0(sK1),sK2,k6_pre_topc(sK1,sK3))),
inference(cnf,[status(esa)],[t7_tsp_2_negated]) ).
cnf(l35,plain,
k6_pre_topc(sK1,sK3) != k3_tex_4(sK1,k5_subset_1(u1_struct_0(sK1),sK2,k6_pre_topc(sK1,sK3))),
inference(instantiation,[status(thm)],[6]) ).
fof(dt_k6_pre_topc,plain,
! [A,B] :
( ( l1_pre_topc(A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
=> m1_subset_1(k6_pre_topc(A,B),k1_zfmisc_1(u1_struct_0(A))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_pre_topc) ).
cnf(162,plain,
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(k6_pre_topc(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf,[status(esa)],[dt_k6_pre_topc]) ).
cnf(l13,plain,
( ~ l1_pre_topc(sK1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| m1_subset_1(k6_pre_topc(sK1,sK3),k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(instantiation,[status(thm)],[162]) ).
cnf(l33,plain,
l1_pre_topc(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(5,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf,[status(esa)],[t7_tsp_2_negated]) ).
cnf(l31,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(instantiation,[status(thm)],[5]) ).
cnf(l15,plain,
l1_pre_topc(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l16,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(instantiation,[status(thm)],[5]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l27,l5,l20,l2,l29,l30,l35,l13,l33,l31,l15,l16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : TOP026+1 : TPTP v9.0.0. Released v3.4.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n018.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Jul 22 21:34:49 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % launching worker at depth: 3
% 0.09/0.30 % launching worker at depth: 2
% 0.09/0.30 % launching worker at depth: 1
% 0.09/0.30 % launching worker at depth: 6
% 0.09/0.30 % launching worker at depth: 5
% 0.09/0.30 % launching worker at depth: 4
% 0.09/0.30 % launching worker at depth: 7
% 0.15/0.31 % launching worker at depth: 8
% 0.15/0.31 % launching worker at depth: 9
% 0.15/0.34 % launching worker at depth: 10
% 0.15/0.36 % SZS status Theorem for theBenchmark
% 0.15/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------