%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : TOP026+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 0.38s 0.91s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 10 unt; 0 def)
% Number of atoms : 126 ( 8 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 166 ( 73 ~; 57 |; 21 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 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(f2255,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f2260,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f3586,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f3588,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f3589,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)],[f3588]) ).
fof(f10243,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)],[f2255]) ).
fof(f10244,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)],[f10243]) ).
fof(f10261,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)],[f2260]) ).
fof(f10262,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)],[f10261]) ).
fof(f15841,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)],[f3586]) ).
fof(f15842,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)],[f15841]) ).
fof(f15845,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)],[f3589]) ).
fof(f15846,plain,
( k6_pre_topc(sK1083_skl,sK1085_skl) != k3_tex_4(sK1083_skl,k5_subset_1(u1_struct_0(sK1083_skl),sK1084_skl,k6_pre_topc(sK1083_skl,sK1085_skl)))
& m1_subset_1(sK1085_skl,k1_zfmisc_1(u1_struct_0(sK1083_skl)))
& v1_tsp_2(sK1084_skl,sK1083_skl)
& m1_subset_1(sK1084_skl,k1_zfmisc_1(u1_struct_0(sK1083_skl)))
& l1_pre_topc(sK1083_skl)
& v2_pre_topc(sK1083_skl)
& ~ v3_struct_0(sK1083_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1083_skl,sK1084_skl,sK1085_skl]),skolemize(A,sK1083_skl),skolemize(B,sK1084_skl),skolemize(C,sK1085_skl)],[f15845]) ).
fof(f15847,plain,
~ v3_struct_0(sK1083_skl),
inference(cnf_transformation,[status(thm)],[f15846]) ).
fof(f15848,plain,
v2_pre_topc(sK1083_skl),
inference(cnf_transformation,[status(thm)],[f15846]) ).
fof(f15849,plain,
l1_pre_topc(sK1083_skl),
inference(cnf_transformation,[status(thm)],[f15846]) ).
fof(f15850,plain,
m1_subset_1(sK1084_skl,k1_zfmisc_1(u1_struct_0(sK1083_skl))),
inference(cnf_transformation,[status(thm)],[f15846]) ).
fof(f15851,plain,
v1_tsp_2(sK1084_skl,sK1083_skl),
inference(cnf_transformation,[status(thm)],[f15846]) ).
fof(f15852,plain,
m1_subset_1(sK1085_skl,k1_zfmisc_1(u1_struct_0(sK1083_skl))),
inference(cnf_transformation,[status(thm)],[f15846]) ).
fof(f15853,plain,
k6_pre_topc(sK1083_skl,sK1085_skl) != k3_tex_4(sK1083_skl,k5_subset_1(u1_struct_0(sK1083_skl),sK1084_skl,k6_pre_topc(sK1083_skl,sK1085_skl))),
inference(cnf_transformation,[status(thm)],[f15846]) ).
fof(f17528,plain,
( v4_pre_topc(k6_pre_topc(sK1083_skl,sK1085_skl),sK1083_skl)
| ~ l1_pre_topc(sK1083_skl)
| ~ v2_pre_topc(sK1083_skl) ),
inference(resolution,[status(thm)],[f10262,f15852]) ).
fof(f17530,plain,
( v4_pre_topc(k6_pre_topc(sK1083_skl,sK1085_skl),sK1083_skl)
| ~ l1_pre_topc(sK1083_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f17528,f15848]) ).
fof(f17532,plain,
v4_pre_topc(k6_pre_topc(sK1083_skl,sK1085_skl),sK1083_skl),
inference(forward_subsumption_resolution,[status(thm)],[f17530,f15849]) ).
fof(f18178,plain,
( ~ v4_pre_topc(k6_pre_topc(sK1083_skl,sK1085_skl),sK1083_skl)
| ~ m1_subset_1(k6_pre_topc(sK1083_skl,sK1085_skl),k1_zfmisc_1(u1_struct_0(sK1083_skl)))
| ~ v1_tsp_2(sK1084_skl,sK1083_skl)
| ~ m1_subset_1(sK1084_skl,k1_zfmisc_1(u1_struct_0(sK1083_skl)))
| ~ l1_pre_topc(sK1083_skl)
| ~ v2_pre_topc(sK1083_skl)
| v3_struct_0(sK1083_skl) ),
inference(resolution,[status(thm)],[f15842,f15853]) ).
fof(f18183,plain,
( ~ v4_pre_topc(k6_pre_topc(sK1083_skl,sK1085_skl),sK1083_skl)
| ~ m1_subset_1(k6_pre_topc(sK1083_skl,sK1085_skl),k1_zfmisc_1(u1_struct_0(sK1083_skl)))
| ~ v1_tsp_2(sK1084_skl,sK1083_skl)
| ~ m1_subset_1(sK1084_skl,k1_zfmisc_1(u1_struct_0(sK1083_skl)))
| ~ l1_pre_topc(sK1083_skl)
| ~ v2_pre_topc(sK1083_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f18178,f15847]) ).
fof(f18225,plain,
( ~ v4_pre_topc(k6_pre_topc(sK1083_skl,sK1085_skl),sK1083_skl)
| ~ m1_subset_1(k6_pre_topc(sK1083_skl,sK1085_skl),k1_zfmisc_1(u1_struct_0(sK1083_skl)))
| ~ v1_tsp_2(sK1084_skl,sK1083_skl)
| ~ m1_subset_1(sK1084_skl,k1_zfmisc_1(u1_struct_0(sK1083_skl)))
| ~ l1_pre_topc(sK1083_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f18183,f15848]) ).
fof(f18226,plain,
( ~ m1_subset_1(sK1085_skl,k1_zfmisc_1(u1_struct_0(sK1083_skl)))
| ~ l1_pre_topc(sK1083_skl)
| ~ v4_pre_topc(k6_pre_topc(sK1083_skl,sK1085_skl),sK1083_skl)
| ~ v1_tsp_2(sK1084_skl,sK1083_skl)
| ~ m1_subset_1(sK1084_skl,k1_zfmisc_1(u1_struct_0(sK1083_skl)))
| ~ l1_pre_topc(sK1083_skl) ),
inference(resolution,[status(thm)],[f18225,f10244]) ).
fof(f18227,plain,
( ~ m1_subset_1(sK1085_skl,k1_zfmisc_1(u1_struct_0(sK1083_skl)))
| ~ v4_pre_topc(k6_pre_topc(sK1083_skl,sK1085_skl),sK1083_skl)
| ~ v1_tsp_2(sK1084_skl,sK1083_skl)
| ~ m1_subset_1(sK1084_skl,k1_zfmisc_1(u1_struct_0(sK1083_skl)))
| ~ l1_pre_topc(sK1083_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f18226]) ).
fof(f18228,plain,
( ~ m1_subset_1(sK1085_skl,k1_zfmisc_1(u1_struct_0(sK1083_skl)))
| ~ v4_pre_topc(k6_pre_topc(sK1083_skl,sK1085_skl),sK1083_skl)
| ~ v1_tsp_2(sK1084_skl,sK1083_skl)
| ~ m1_subset_1(sK1084_skl,k1_zfmisc_1(u1_struct_0(sK1083_skl))) ),
inference(forward_subsumption_resolution,[status(thm)],[f18227,f15849]) ).
fof(f18293,plain,
( ~ m1_subset_1(sK1085_skl,k1_zfmisc_1(u1_struct_0(sK1083_skl)))
| ~ v4_pre_topc(k6_pre_topc(sK1083_skl,sK1085_skl),sK1083_skl)
| ~ v1_tsp_2(sK1084_skl,sK1083_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f18228,f15850]) ).
fof(f18294,plain,
( ~ v4_pre_topc(k6_pre_topc(sK1083_skl,sK1085_skl),sK1083_skl)
| ~ v1_tsp_2(sK1084_skl,sK1083_skl) ),
inference(resolution,[status(thm)],[f18293,f15852]) ).
fof(f18295,plain,
~ v4_pre_topc(k6_pre_topc(sK1083_skl,sK1085_skl),sK1083_skl),
inference(forward_subsumption_resolution,[status(thm)],[f18294,f15851]) ).
fof(f18296,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f18295,f17532]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP026+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n009.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 12:39:58 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.22/0.54 % Drodi V4.1.1
% 0.38/0.91 % Refutation found
% 0.38/0.91 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.38/0.91 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.38/0.99 % Elapsed time: 0.617210 seconds
% 0.38/0.99 % CPU time: 3.094214 seconds
% 0.38/0.99 % Total memory used: 605.375 MB
% 0.38/0.99 % Net memory used: 597.237 MB
%------------------------------------------------------------------------------