%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : TOP026+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:53:25 PM UTC 2026
% Result : Theorem 24.68s 5.54s
% Output : CNFRefutation 25.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 9 unt; 0 def)
% Number of atoms : 132 ( 8 equ)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 181 ( 82 ~; 63 |; 21 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 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 : 30 ( 27 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6860,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& l1_pre_topc(A) )
=> m1_subset_1(k6_pre_topc(A,B),k1_zfmisc_1(u1_struct_0(A))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6865,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& l1_pre_topc(A)
& v2_pre_topc(A) )
=> v4_pre_topc(k6_pre_topc(A,B),A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13480,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(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') ).
fof(f13482,conjecture,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(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') ).
fof(f13483,negated_conjecture,
~ ! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(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(negated_conjecture,[status(cth)],[f13482]) ).
fof(f34483,plain,
! [A,B] :
( m1_subset_1(k6_pre_topc(A,B),k1_zfmisc_1(u1_struct_0(A)))
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_pre_topc(A) ),
inference(pre_NNF_transformation,[status(thm)],[f6860]) ).
fof(f34484,plain,
! [X0,X1] :
( m1_subset_1(k6_pre_topc(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[status(thm)],[f34483]) ).
fof(f34501,plain,
! [A,B] :
( v4_pre_topc(k6_pre_topc(A,B),A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A) ),
inference(pre_NNF_transformation,[status(thm)],[f6865]) ).
fof(f34502,plain,
! [X0,X1] :
( v4_pre_topc(k6_pre_topc(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[status(thm)],[f34501]) ).
fof(f57098,plain,
! [A] :
( ! [B] :
( ! [C] :
( C = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,C))
| ~ v4_pre_topc(C,A)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
| ~ v1_tsp_2(B,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f13480]) ).
fof(f57099,plain,
! [X0,X1,X2] :
( X2 = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2))
| ~ v4_pre_topc(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f57098]) ).
fof(f57102,plain,
? [A] :
( ? [B] :
( ? [C] :
( k6_pre_topc(A,C) != k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,C)))
& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
& v1_tsp_2(B,A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
& l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f13483]) ).
fof(f57103,plain,
( k6_pre_topc(sK3942_skl,sK3944_skl) != k3_tex_4(sK3942_skl,k5_subset_1(u1_struct_0(sK3942_skl),sK3943_skl,k6_pre_topc(sK3942_skl,sK3944_skl)))
& m1_subset_1(sK3944_skl,k1_zfmisc_1(u1_struct_0(sK3942_skl)))
& v1_tsp_2(sK3943_skl,sK3942_skl)
& m1_subset_1(sK3943_skl,k1_zfmisc_1(u1_struct_0(sK3942_skl)))
& l1_pre_topc(sK3942_skl)
& v2_pre_topc(sK3942_skl)
& ~ v3_struct_0(sK3942_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3942_skl,sK3943_skl,sK3944_skl]),skolemize(A,sK3942_skl),skolemize(B,sK3943_skl),skolemize(C,sK3944_skl)],[f57102]) ).
fof(f57104,plain,
~ v3_struct_0(sK3942_skl),
inference(cnf_transformation,[status(thm)],[f57103]) ).
fof(f57105,plain,
v2_pre_topc(sK3942_skl),
inference(cnf_transformation,[status(thm)],[f57103]) ).
fof(f57106,plain,
l1_pre_topc(sK3942_skl),
inference(cnf_transformation,[status(thm)],[f57103]) ).
fof(f57107,plain,
m1_subset_1(sK3943_skl,k1_zfmisc_1(u1_struct_0(sK3942_skl))),
inference(cnf_transformation,[status(thm)],[f57103]) ).
fof(f57108,plain,
v1_tsp_2(sK3943_skl,sK3942_skl),
inference(cnf_transformation,[status(thm)],[f57103]) ).
fof(f57109,plain,
m1_subset_1(sK3944_skl,k1_zfmisc_1(u1_struct_0(sK3942_skl))),
inference(cnf_transformation,[status(thm)],[f57103]) ).
fof(f57110,plain,
k6_pre_topc(sK3942_skl,sK3944_skl) != k3_tex_4(sK3942_skl,k5_subset_1(u1_struct_0(sK3942_skl),sK3943_skl,k6_pre_topc(sK3942_skl,sK3944_skl))),
inference(cnf_transformation,[status(thm)],[f57103]) ).
fof(f65186,plain,
( ~ v4_pre_topc(k6_pre_topc(sK3942_skl,sK3944_skl),sK3942_skl)
| ~ m1_subset_1(k6_pre_topc(sK3942_skl,sK3944_skl),k1_zfmisc_1(u1_struct_0(sK3942_skl)))
| ~ v1_tsp_2(sK3943_skl,sK3942_skl)
| ~ m1_subset_1(sK3943_skl,k1_zfmisc_1(u1_struct_0(sK3942_skl)))
| ~ l1_pre_topc(sK3942_skl)
| ~ v2_pre_topc(sK3942_skl)
| v3_struct_0(sK3942_skl) ),
inference(resolution,[status(thm)],[f57099,f57110]) ).
fof(f65193,plain,
( ~ v4_pre_topc(k6_pre_topc(sK3942_skl,sK3944_skl),sK3942_skl)
| ~ m1_subset_1(k6_pre_topc(sK3942_skl,sK3944_skl),k1_zfmisc_1(u1_struct_0(sK3942_skl)))
| ~ v1_tsp_2(sK3943_skl,sK3942_skl)
| ~ m1_subset_1(sK3943_skl,k1_zfmisc_1(u1_struct_0(sK3942_skl)))
| ~ l1_pre_topc(sK3942_skl)
| ~ v2_pre_topc(sK3942_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f65186,f57104]) ).
fof(f65430,plain,
( ~ v4_pre_topc(k6_pre_topc(sK3942_skl,sK3944_skl),sK3942_skl)
| ~ m1_subset_1(k6_pre_topc(sK3942_skl,sK3944_skl),k1_zfmisc_1(u1_struct_0(sK3942_skl)))
| ~ v1_tsp_2(sK3943_skl,sK3942_skl)
| ~ m1_subset_1(sK3943_skl,k1_zfmisc_1(u1_struct_0(sK3942_skl)))
| ~ l1_pre_topc(sK3942_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f65193,f57105]) ).
fof(f65431,plain,
( ~ m1_subset_1(sK3944_skl,k1_zfmisc_1(u1_struct_0(sK3942_skl)))
| ~ l1_pre_topc(sK3942_skl)
| ~ v4_pre_topc(k6_pre_topc(sK3942_skl,sK3944_skl),sK3942_skl)
| ~ v1_tsp_2(sK3943_skl,sK3942_skl)
| ~ m1_subset_1(sK3943_skl,k1_zfmisc_1(u1_struct_0(sK3942_skl)))
| ~ l1_pre_topc(sK3942_skl) ),
inference(resolution,[status(thm)],[f65430,f34484]) ).
fof(f65432,plain,
( ~ m1_subset_1(sK3944_skl,k1_zfmisc_1(u1_struct_0(sK3942_skl)))
| ~ v4_pre_topc(k6_pre_topc(sK3942_skl,sK3944_skl),sK3942_skl)
| ~ v1_tsp_2(sK3943_skl,sK3942_skl)
| ~ m1_subset_1(sK3943_skl,k1_zfmisc_1(u1_struct_0(sK3942_skl)))
| ~ l1_pre_topc(sK3942_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f65431]) ).
fof(f65433,plain,
( ~ m1_subset_1(sK3944_skl,k1_zfmisc_1(u1_struct_0(sK3942_skl)))
| ~ v4_pre_topc(k6_pre_topc(sK3942_skl,sK3944_skl),sK3942_skl)
| ~ v1_tsp_2(sK3943_skl,sK3942_skl)
| ~ m1_subset_1(sK3943_skl,k1_zfmisc_1(u1_struct_0(sK3942_skl))) ),
inference(forward_subsumption_resolution,[status(thm)],[f65432,f57106]) ).
fof(f65538,plain,
( ~ m1_subset_1(sK3944_skl,k1_zfmisc_1(u1_struct_0(sK3942_skl)))
| ~ v4_pre_topc(k6_pre_topc(sK3942_skl,sK3944_skl),sK3942_skl)
| ~ v1_tsp_2(sK3943_skl,sK3942_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f65433,f57107]) ).
fof(f65539,plain,
( ~ m1_subset_1(sK3944_skl,k1_zfmisc_1(u1_struct_0(sK3942_skl)))
| ~ l1_pre_topc(sK3942_skl)
| ~ v2_pre_topc(sK3942_skl)
| ~ m1_subset_1(sK3944_skl,k1_zfmisc_1(u1_struct_0(sK3942_skl)))
| ~ v1_tsp_2(sK3943_skl,sK3942_skl) ),
inference(resolution,[status(thm)],[f65538,f34502]) ).
fof(f65540,plain,
( ~ l1_pre_topc(sK3942_skl)
| ~ v2_pre_topc(sK3942_skl)
| ~ m1_subset_1(sK3944_skl,k1_zfmisc_1(u1_struct_0(sK3942_skl)))
| ~ v1_tsp_2(sK3943_skl,sK3942_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f65539]) ).
fof(f65541,plain,
( ~ l1_pre_topc(sK3942_skl)
| ~ v2_pre_topc(sK3942_skl)
| ~ m1_subset_1(sK3944_skl,k1_zfmisc_1(u1_struct_0(sK3942_skl))) ),
inference(forward_subsumption_resolution,[status(thm)],[f65540,f57108]) ).
fof(f65542,plain,
( ~ l1_pre_topc(sK3942_skl)
| ~ v2_pre_topc(sK3942_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f65541,f57109]) ).
fof(f65543,plain,
~ l1_pre_topc(sK3942_skl),
inference(resolution,[status(thm)],[f65542,f57105]) ).
fof(f65544,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f65543,f57106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP026+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n014.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 12:40:05 UTC 2026
% 0.08/0.36 % CPUTime :
% 2.26/2.55 % Drodi V4.1.1
% 24.68/5.54 % Refutation found
% 24.68/5.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 24.68/5.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 10.16/5.94 % Elapsed time: 5.509918 seconds
% 10.16/5.94 % CPU time: 26.249360 seconds
% 10.16/5.94 % Total memory used: 3.863 GB
% 10.16/5.94 % Net memory used: 3.828 GB
%------------------------------------------------------------------------------