%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : TOP028+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 03:53:26 PM UTC 2026
% Result : Theorem 0.16s 0.52s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of formulae : 66 ( 13 unt; 8 def)
% Number of atoms : 224 ( 4 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 263 ( 105 ~; 108 |; 31 &)
% ( 8 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 9 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 50 ( 45 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( v1_tsp_2(B,A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( v1_tsp_2(B,A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f39,axiom,
( v5_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [A] :
? [B] :
( v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [A] :
( ( l1_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v3_tex_2(B,A)
=> v1_tsp_1(B,A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,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_xboole_0(B) )
=> v3_tex_2(B,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,axiom,
! [A] :
( v1_xboole_0(A)
=> A = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,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)))
=> ~ ( ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> ~ ( v1_tsp_2(C,A)
& r1_tarski(B,C) ) )
& v1_tsp_1(B,A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,plain,
? [A] :
( ! [B] :
( ~ 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)],[f2]) ).
fof(f66,plain,
( ! [B] :
( ~ v1_tsp_2(B,sK0_skl)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(sK0_skl))) )
& l1_pre_topc(sK0_skl)
& v2_pre_topc(sK0_skl)
& ~ v3_struct_0(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(A,sK0_skl)],[f65]) ).
fof(f67,plain,
~ v3_struct_0(sK0_skl),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f68,plain,
v2_pre_topc(sK0_skl),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f69,plain,
l1_pre_topc(sK0_skl),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f70,plain,
! [X0] :
( ~ v1_tsp_2(X0,sK0_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f178,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f208,plain,
! [A] :
( v1_xboole_0(sK7_skl(A))
& m1_subset_1(sK7_skl(A),k1_zfmisc_1(A)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(B,sK7_skl(A))],[f44]) ).
fof(f209,plain,
! [X0] : m1_subset_1(sK7_skl(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f210,plain,
! [X0] : v1_xboole_0(sK7_skl(X0)),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f263,plain,
! [A] :
( ! [B] :
( v1_tsp_1(B,A)
| ~ v3_tex_2(B,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f264,plain,
! [X0,X1] :
( v1_tsp_1(X1,X0)
| ~ v3_tex_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f269,plain,
! [A] :
( ! [B] :
( v3_tex_2(B,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_xboole_0(B) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f57]) ).
fof(f270,plain,
! [X0,X1] :
( v3_tex_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f269]) ).
fof(f281,plain,
! [A] :
( A = k1_xboole_0
| ~ v1_xboole_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f61]) ).
fof(f282,plain,
! [X0] :
( X0 = k1_xboole_0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[status(thm)],[f281]) ).
fof(f289,plain,
! [A] :
( ! [B] :
( ? [C] :
( v1_tsp_2(C,A)
& r1_tarski(B,C)
& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
| ~ v1_tsp_1(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)],[f64]) ).
fof(f290,plain,
! [A] :
( ! [B] :
( ( v1_tsp_2(sK16_skl(B,A),A)
& r1_tarski(B,sK16_skl(B,A))
& m1_subset_1(sK16_skl(B,A),k1_zfmisc_1(u1_struct_0(A))) )
| ~ v1_tsp_1(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(skolemize,[status(esa),new_symbols(skolem,[sK16_skl]),skolemize(C,sK16_skl(B,A))],[f289]) ).
fof(f291,plain,
! [X0,X1] :
( m1_subset_1(sK16_skl(X1,X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(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)],[f290]) ).
fof(f293,plain,
! [X0,X1] :
( v1_tsp_2(sK16_skl(X1,X0),X0)
| ~ v1_tsp_1(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)],[f290]) ).
fof(f300,plain,
! [X0] : sK7_skl(X0) = k1_xboole_0,
inference(resolution,[status(thm)],[f282,f210]) ).
fof(f303,plain,
! [X0] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
inference(backward_demodulation,[status(thm)],[f300,f209]) ).
fof(f307,plain,
! [X0] :
( v1_tsp_2(sK16_skl(k1_xboole_0,X0),X0)
| ~ v1_tsp_1(k1_xboole_0,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(resolution,[status(thm)],[f303,f293]) ).
fof(f379,definition,
( sQ8_spl
<=> l1_pre_topc(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( sQ8_spl
| ~ l1_pre_topc(sK0_skl) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f446,definition,
( sQ13_spl
<=> v3_struct_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( ~ sQ13_spl
| v3_struct_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,definition,
( sQ14_spl
<=> v2_pre_topc(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( sQ14_spl
| ~ v2_pre_topc(sK0_skl) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,definition,
( sQ15_spl
<=> v1_tsp_1(k1_xboole_0,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( ~ sQ15_spl
| v1_tsp_1(k1_xboole_0,sK0_skl) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f463,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f381,f69]) ).
fof(f464,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f463]) ).
fof(f469,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f451,f68]) ).
fof(f470,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f469]) ).
fof(f471,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f447,f67]) ).
fof(f472,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f471]) ).
fof(f580,plain,
( ~ v1_tsp_1(k1_xboole_0,sK0_skl)
| ~ l1_pre_topc(sK0_skl)
| ~ v2_pre_topc(sK0_skl)
| v3_struct_0(sK0_skl)
| ~ m1_subset_1(sK16_skl(k1_xboole_0,sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(resolution,[status(thm)],[f70,f307]) ).
fof(f582,definition,
( sQ29_spl
<=> m1_subset_1(sK16_skl(k1_xboole_0,sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( ~ sQ15_spl
| ~ sQ8_spl
| ~ sQ14_spl
| sQ13_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f580,f582,f446,f449,f379,f452]) ).
fof(f627,definition,
( sQ35_spl
<=> m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f629,plain,
( sQ35_spl
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f961,plain,
! [X0] :
( v3_tex_2(X0,sK0_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ v1_xboole_0(X0)
| ~ l1_pre_topc(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f270,f68]) ).
fof(f962,definition,
! [X0] :
( sQ73_spl
<=> ( v3_tex_2(X0,sK0_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ v1_xboole_0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f963,plain,
! [X0] :
( ~ sQ73_spl
| v3_tex_2(X0,sK0_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ v1_xboole_0(X0) ),
inference(component_clause,[status(thm)],[f962]) ).
fof(f965,plain,
( sQ73_spl
| ~ sQ8_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f961,f446,f379,f962]) ).
fof(f966,plain,
! [X0] :
( ~ sQ73_spl
| v1_tsp_1(X0,sK0_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l1_pre_topc(sK0_skl)
| v3_struct_0(sK0_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ v1_xboole_0(X0) ),
inference(resolution,[status(thm)],[f963,f264]) ).
fof(f967,definition,
! [X0] :
( sQ74_spl
<=> ( v1_tsp_1(X0,sK0_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ v1_xboole_0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f968,plain,
! [X0] :
( ~ sQ74_spl
| v1_tsp_1(X0,sK0_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ v1_xboole_0(X0) ),
inference(component_clause,[status(thm)],[f967]) ).
fof(f970,plain,
( ~ sQ73_spl
| ~ sQ8_spl
| sQ13_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f966,f967,f446,f379,f962]) ).
fof(f971,plain,
! [X0] :
( ~ sQ74_spl
| v1_tsp_1(X0,sK0_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ v1_xboole_0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f968]) ).
fof(f974,plain,
( ~ sQ74_spl
| v1_tsp_1(k1_xboole_0,sK0_skl)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(resolution,[status(thm)],[f971,f178]) ).
fof(f975,plain,
( ~ sQ74_spl
| sQ15_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f974,f627,f452,f967]) ).
fof(f977,plain,
( ~ sQ15_spl
| m1_subset_1(sK16_skl(k1_xboole_0,sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l1_pre_topc(sK0_skl)
| ~ v2_pre_topc(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f453,f291]) ).
fof(f984,plain,
( ~ sQ15_spl
| sQ29_spl
| ~ sQ35_spl
| ~ sQ8_spl
| ~ sQ14_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f977,f446,f449,f379,f627,f582,f452]) ).
fof(f996,plain,
( sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f629,f303]) ).
fof(f997,plain,
sQ35_spl,
inference(contradiction_clause,[status(thm)],[f996]) ).
fof(f998,plain,
$false,
inference(sat_refutation,[status(thm)],[f464,f470,f472,f585,f965,f970,f975,f984,f997]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : TOP028+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n005.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 12:41:03 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 0.16/0.52 % Refutation found
% 0.16/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.54 % Elapsed time: 0.099556 seconds
% 0.16/0.54 % CPU time: 0.500805 seconds
% 0.16/0.54 % Total memory used: 84.106 MB
% 0.16/0.54 % Net memory used: 83.850 MB
%------------------------------------------------------------------------------