%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : TOP027+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 22.96s 4.01s
% Output : CNFRefutation 22.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 26
% Syntax : Number of formulae : 109 ( 36 unt; 16 def)
% Number of atoms : 253 ( 16 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 237 ( 93 ~; 80 |; 32 &)
% ( 17 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 17 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 53 ( 49 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [A,B] : r1_tarski(A,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [A] :
( v1_xboole_0(A)
<=> A = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71,axiom,
! [A] : r1_tarski(k1_xboole_0,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f134,axiom,
! [A] : r1_xboole_0(A,k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1828,axiom,
( ~ v1_xboole_0(k4_ordinal2)
& v3_ordinal1(k4_ordinal2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1903,axiom,
? [A] :
( ~ v3_xreal_0(A)
& ~ v2_xreal_0(A)
& v1_xreal_0(A)
& v1_xcmplx_0(A)
& v1_xboole_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2265,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& l1_pre_topc(A)
& v2_pre_topc(A) )
=> v3_pre_topc(k1_tops_1(A,B),A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2402,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& l1_pre_topc(A) )
=> m1_subset_1(k1_tops_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3587,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)))
=> ( v3_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(f3589,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)))
=> k1_tops_1(A,C) = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,k1_tops_1(A,C))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3590,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)))
=> k1_tops_1(A,C) = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,k1_tops_1(A,C))) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f3589]) ).
fof(f3666,plain,
! [A] : r1_tarski(A,A),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f3667,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[status(thm)],[f3666]) ).
fof(f3712,plain,
! [A] :
( ( A != k1_xboole_0
| v1_xboole_0(A) )
& ( A = k1_xboole_0
| ~ v1_xboole_0(A) ) ),
inference(NNF_transformation,[status(thm)],[f33]) ).
fof(f3713,plain,
( ! [A] :
( A != k1_xboole_0
| v1_xboole_0(A) )
& ! [A] :
( A = k1_xboole_0
| ~ v1_xboole_0(A) ) ),
inference(miniscoping,[status(thm)],[f3712]) ).
fof(f3714,plain,
! [X0] :
( X0 = k1_xboole_0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[status(thm)],[f3713]) ).
fof(f3715,plain,
! [X0] :
( X0 != k1_xboole_0
| v1_xboole_0(X0) ),
inference(cnf_transformation,[status(thm)],[f3713]) ).
fof(f3819,plain,
! [X0] : r1_tarski(k1_xboole_0,X0),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f3938,plain,
! [X0] : r1_xboole_0(X0,k1_xboole_0),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f8843,plain,
v3_ordinal1(k4_ordinal2),
inference(cnf_transformation,[status(thm)],[f1828]) ).
fof(f8976,plain,
( ~ v3_xreal_0(sK499_skl)
& ~ v2_xreal_0(sK499_skl)
& v1_xreal_0(sK499_skl)
& v1_xcmplx_0(sK499_skl)
& v1_xboole_0(sK499_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK499_skl]),skolemize(A,sK499_skl)],[f1903]) ).
fof(f8977,plain,
v1_xboole_0(sK499_skl),
inference(cnf_transformation,[status(thm)],[f8976]) ).
fof(f8979,plain,
v1_xreal_0(sK499_skl),
inference(cnf_transformation,[status(thm)],[f8976]) ).
fof(f10279,plain,
! [A,B] :
( v3_pre_topc(k1_tops_1(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)],[f2265]) ).
fof(f10280,plain,
! [X0,X1] :
( v3_pre_topc(k1_tops_1(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)],[f10279]) ).
fof(f10636,plain,
! [A,B] :
( m1_subset_1(k1_tops_1(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)],[f2402]) ).
fof(f10637,plain,
! [X0,X1] :
( m1_subset_1(k1_tops_1(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)],[f10636]) ).
fof(f15844,plain,
! [A] :
( ! [B] :
( ! [C] :
( C = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,C))
| ~ v3_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)],[f3587]) ).
fof(f15845,plain,
! [X0,X1,X2] :
( X2 = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2))
| ~ v3_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)],[f15844]) ).
fof(f15848,plain,
? [A] :
( ? [B] :
( ? [C] :
( k1_tops_1(A,C) != k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,k1_tops_1(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)],[f3590]) ).
fof(f15849,plain,
( k1_tops_1(sK1083_skl,sK1085_skl) != k3_tex_4(sK1083_skl,k5_subset_1(u1_struct_0(sK1083_skl),sK1084_skl,k1_tops_1(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)],[f15848]) ).
fof(f15850,plain,
~ v3_struct_0(sK1083_skl),
inference(cnf_transformation,[status(thm)],[f15849]) ).
fof(f15851,plain,
v2_pre_topc(sK1083_skl),
inference(cnf_transformation,[status(thm)],[f15849]) ).
fof(f15852,plain,
l1_pre_topc(sK1083_skl),
inference(cnf_transformation,[status(thm)],[f15849]) ).
fof(f15853,plain,
m1_subset_1(sK1084_skl,k1_zfmisc_1(u1_struct_0(sK1083_skl))),
inference(cnf_transformation,[status(thm)],[f15849]) ).
fof(f15854,plain,
v1_tsp_2(sK1084_skl,sK1083_skl),
inference(cnf_transformation,[status(thm)],[f15849]) ).
fof(f15855,plain,
m1_subset_1(sK1085_skl,k1_zfmisc_1(u1_struct_0(sK1083_skl))),
inference(cnf_transformation,[status(thm)],[f15849]) ).
fof(f15856,plain,
k1_tops_1(sK1083_skl,sK1085_skl) != k3_tex_4(sK1083_skl,k5_subset_1(u1_struct_0(sK1083_skl),sK1084_skl,k1_tops_1(sK1083_skl,sK1085_skl))),
inference(cnf_transformation,[status(thm)],[f15849]) ).
fof(f16957,definition,
! [X1] :
( sQ52_spl
<=> ~ v3_ordinal1(X1) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f16958,plain,
! [X0] :
( ~ sQ52_spl
| ~ v3_ordinal1(X0) ),
inference(component_clause,[status(thm)],[f16957]) ).
fof(f17926,definition,
! [X1] :
( sQ306_spl
<=> ~ v1_xreal_0(X1) ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f17927,plain,
! [X0] :
( ~ sQ306_spl
| ~ v1_xreal_0(X0) ),
inference(component_clause,[status(thm)],[f17926]) ).
fof(f18414,plain,
v1_xboole_0(k1_xboole_0),
inference(destructive_equality_resolution,[status(thm)],[f3715]) ).
fof(f19146,definition,
( sQ425_spl
<=> v2_pre_topc(sK1083_skl) ),
introduced(definition,[new_symbols(definition,[sQ425_spl])],[split_symbol_definition]) ).
fof(f19148,plain,
( sQ425_spl
| ~ v2_pre_topc(sK1083_skl) ),
inference(component_clause,[status(thm)],[f19146]) ).
fof(f19149,definition,
( sQ426_spl
<=> l1_pre_topc(sK1083_skl) ),
introduced(definition,[new_symbols(definition,[sQ426_spl])],[split_symbol_definition]) ).
fof(f19151,plain,
( sQ426_spl
| ~ l1_pre_topc(sK1083_skl) ),
inference(component_clause,[status(thm)],[f19149]) ).
fof(f19154,plain,
( sQ425_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f19148,f15851]) ).
fof(f19155,plain,
sQ425_spl,
inference(contradiction_clause,[status(thm)],[f19154]) ).
fof(f19156,plain,
( sQ426_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f19151,f15852]) ).
fof(f19157,plain,
sQ426_spl,
inference(contradiction_clause,[status(thm)],[f19156]) ).
fof(f19177,definition,
( sQ431_spl
<=> v1_tsp_2(sK1084_skl,sK1083_skl) ),
introduced(definition,[new_symbols(definition,[sQ431_spl])],[split_symbol_definition]) ).
fof(f19179,plain,
( sQ431_spl
| ~ v1_tsp_2(sK1084_skl,sK1083_skl) ),
inference(component_clause,[status(thm)],[f19177]) ).
fof(f19184,plain,
( sQ431_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f19179,f15854]) ).
fof(f19185,plain,
sQ431_spl,
inference(contradiction_clause,[status(thm)],[f19184]) ).
fof(f19212,plain,
( v3_pre_topc(k1_tops_1(sK1083_skl,sK1085_skl),sK1083_skl)
| ~ l1_pre_topc(sK1083_skl)
| ~ v2_pre_topc(sK1083_skl) ),
inference(resolution,[status(thm)],[f10280,f15855]) ).
fof(f19214,definition,
( sQ437_spl
<=> v3_pre_topc(k1_tops_1(sK1083_skl,sK1085_skl),sK1083_skl) ),
introduced(definition,[new_symbols(definition,[sQ437_spl])],[split_symbol_definition]) ).
fof(f19217,plain,
( sQ437_spl
| ~ sQ426_spl
| ~ sQ425_spl ),
inference(split_clause,[status(thm)],[f19212,f19146,f19149,f19214]) ).
fof(f19237,definition,
( sQ439_spl
<=> v3_struct_0(sK1083_skl) ),
introduced(definition,[new_symbols(definition,[sQ439_spl])],[split_symbol_definition]) ).
fof(f19238,plain,
( ~ sQ439_spl
| v3_struct_0(sK1083_skl) ),
inference(component_clause,[status(thm)],[f19237]) ).
fof(f19248,plain,
( ~ sQ439_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f19238,f15850]) ).
fof(f19249,plain,
~ sQ439_spl,
inference(contradiction_clause,[status(thm)],[f19248]) ).
fof(f19252,definition,
( sQ442_spl
<=> m1_subset_1(sK1085_skl,k1_zfmisc_1(u1_struct_0(sK1083_skl))) ),
introduced(definition,[new_symbols(definition,[sQ442_spl])],[split_symbol_definition]) ).
fof(f19254,plain,
( sQ442_spl
| ~ m1_subset_1(sK1085_skl,k1_zfmisc_1(u1_struct_0(sK1083_skl))) ),
inference(component_clause,[status(thm)],[f19252]) ).
fof(f19259,definition,
( sQ444_spl
<=> m1_subset_1(sK1084_skl,k1_zfmisc_1(u1_struct_0(sK1083_skl))) ),
introduced(definition,[new_symbols(definition,[sQ444_spl])],[split_symbol_definition]) ).
fof(f19261,plain,
( sQ444_spl
| ~ m1_subset_1(sK1084_skl,k1_zfmisc_1(u1_struct_0(sK1083_skl))) ),
inference(component_clause,[status(thm)],[f19259]) ).
fof(f19266,plain,
( sQ444_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f19261,f15853]) ).
fof(f19267,plain,
sQ444_spl,
inference(contradiction_clause,[status(thm)],[f19266]) ).
fof(f19268,plain,
( sQ442_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f19254,f15855]) ).
fof(f19269,plain,
sQ442_spl,
inference(contradiction_clause,[status(thm)],[f19268]) ).
fof(f19764,definition,
( sQ502_spl
<=> r1_tarski(sK1084_skl,sK1084_skl) ),
introduced(definition,[new_symbols(definition,[sQ502_spl])],[split_symbol_definition]) ).
fof(f19766,plain,
( sQ502_spl
| ~ r1_tarski(sK1084_skl,sK1084_skl) ),
inference(component_clause,[status(thm)],[f19764]) ).
fof(f19771,plain,
( sQ502_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f19766,f3667]) ).
fof(f19772,plain,
sQ502_spl,
inference(contradiction_clause,[status(thm)],[f19771]) ).
fof(f19867,definition,
( sQ516_spl
<=> r1_tarski(sK1085_skl,sK1085_skl) ),
introduced(definition,[new_symbols(definition,[sQ516_spl])],[split_symbol_definition]) ).
fof(f19869,plain,
( sQ516_spl
| ~ r1_tarski(sK1085_skl,sK1085_skl) ),
inference(component_clause,[status(thm)],[f19867]) ).
fof(f19878,plain,
( sQ516_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f19869,f3667]) ).
fof(f19879,plain,
sQ516_spl,
inference(contradiction_clause,[status(thm)],[f19878]) ).
fof(f20382,definition,
( sQ607_spl
<=> r1_tarski(k1_xboole_0,sK1085_skl) ),
introduced(definition,[new_symbols(definition,[sQ607_spl])],[split_symbol_definition]) ).
fof(f20384,plain,
( sQ607_spl
| ~ r1_tarski(k1_xboole_0,sK1085_skl) ),
inference(component_clause,[status(thm)],[f20382]) ).
fof(f20401,definition,
( sQ612_spl
<=> v1_xboole_0(k1_xboole_0) ),
introduced(definition,[new_symbols(definition,[sQ612_spl])],[split_symbol_definition]) ).
fof(f20403,plain,
( sQ612_spl
| ~ v1_xboole_0(k1_xboole_0) ),
inference(component_clause,[status(thm)],[f20401]) ).
fof(f21370,plain,
( ~ sQ306_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f8979,f17927]) ).
fof(f21374,plain,
~ sQ306_spl,
inference(contradiction_clause,[status(thm)],[f21370]) ).
fof(f21375,plain,
( ~ sQ52_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f8843,f16958]) ).
fof(f21382,plain,
~ sQ52_spl,
inference(contradiction_clause,[status(thm)],[f21375]) ).
fof(f22455,plain,
sK499_skl = k1_xboole_0,
inference(resolution,[status(thm)],[f3714,f8977]) ).
fof(f22627,plain,
( sQ612_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20403,f18414]) ).
fof(f22628,plain,
sQ612_spl,
inference(contradiction_clause,[status(thm)],[f22627]) ).
fof(f23312,plain,
( sQ607_spl
| ~ r1_tarski(sK499_skl,sK1085_skl) ),
inference(backward_demodulation,[status(thm)],[f22455,f20384]) ).
fof(f23953,definition,
( sQ1060_spl
<=> m1_subset_1(k1_tops_1(sK1083_skl,sK1085_skl),k1_zfmisc_1(u1_struct_0(sK1083_skl))) ),
introduced(definition,[new_symbols(definition,[sQ1060_spl])],[split_symbol_definition]) ).
fof(f23955,plain,
( sQ1060_spl
| ~ m1_subset_1(k1_tops_1(sK1083_skl,sK1085_skl),k1_zfmisc_1(u1_struct_0(sK1083_skl))) ),
inference(component_clause,[status(thm)],[f23953]) ).
fof(f23962,plain,
( ~ v3_pre_topc(k1_tops_1(sK1083_skl,sK1085_skl),sK1083_skl)
| ~ m1_subset_1(k1_tops_1(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)],[f15845,f15856]) ).
fof(f23967,plain,
( ~ sQ437_spl
| ~ sQ1060_spl
| ~ sQ431_spl
| ~ sQ444_spl
| ~ sQ426_spl
| ~ sQ425_spl
| sQ439_spl ),
inference(split_clause,[status(thm)],[f23962,f19237,f19146,f19149,f19259,f19177,f23953,f19214]) ).
fof(f24420,definition,
( sQ1140_spl
<=> v1_xboole_0(sK499_skl) ),
introduced(definition,[new_symbols(definition,[sQ1140_spl])],[split_symbol_definition]) ).
fof(f24422,plain,
( sQ1140_spl
| ~ v1_xboole_0(sK499_skl) ),
inference(component_clause,[status(thm)],[f24420]) ).
fof(f24429,plain,
( sQ1140_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f24422,f8977]) ).
fof(f24430,plain,
sQ1140_spl,
inference(contradiction_clause,[status(thm)],[f24429]) ).
fof(f24610,plain,
( sQ607_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f23312,f24611]) ).
fof(f24611,plain,
! [X0] : r1_tarski(sK499_skl,X0),
inference(forward_demodulation,[status(thm)],[f22455,f3819]) ).
fof(f24617,plain,
sQ607_spl,
inference(contradiction_clause,[status(thm)],[f24610]) ).
fof(f24658,plain,
! [X0] : r1_xboole_0(X0,sK499_skl),
inference(forward_demodulation,[status(thm)],[f22455,f3938]) ).
fof(f24878,definition,
! [X1] :
( sQ1170_spl
<=> ~ r1_xboole_0(X1,sK499_skl) ),
introduced(definition,[new_symbols(definition,[sQ1170_spl])],[split_symbol_definition]) ).
fof(f24879,plain,
! [X0] :
( ~ sQ1170_spl
| ~ r1_xboole_0(X0,sK499_skl) ),
inference(component_clause,[status(thm)],[f24878]) ).
fof(f24882,plain,
( ~ sQ1170_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f24879,f24658]) ).
fof(f24883,plain,
~ sQ1170_spl,
inference(contradiction_clause,[status(thm)],[f24882]) ).
fof(f26106,plain,
( sQ1060_spl
| ~ m1_subset_1(sK1085_skl,k1_zfmisc_1(u1_struct_0(sK1083_skl)))
| ~ l1_pre_topc(sK1083_skl) ),
inference(resolution,[status(thm)],[f23955,f10637]) ).
fof(f26107,plain,
( sQ1060_spl
| ~ sQ442_spl
| ~ sQ426_spl ),
inference(split_clause,[status(thm)],[f26106,f19149,f19252,f23953]) ).
fof(f26108,plain,
$false,
inference(sat_refutation,[status(thm)],[f19155,f19157,f19185,f19217,f19249,f19267,f19269,f19772,f19879,f21374,f21382,f22628,f23967,f24430,f24617,f24883,f26107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : TOP027+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.40 % Computer : n019.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Mon Sep 21 12:41:20 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.79/1.09 % Drodi V4.1.1
% 22.96/4.01 % Refutation found
% 22.96/4.01 % SZS status Theorem for theBenchmark: Theorem is valid
% 22.96/4.01 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.09/4.15 % Elapsed time: 3.720171 seconds
% 3.09/4.15 % CPU time: 23.906613 seconds
% 3.09/4.15 % Total memory used: 683.278 MB
% 3.09/4.15 % Net memory used: 665.390 MB
%------------------------------------------------------------------------------