%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU429+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 : n017.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 02:20:34 PM UTC 2026
% Result : Theorem 0.21s 0.58s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 8 unt; 3 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 62 ( 25 ~; 16 |; 11 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 28 ( 20 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B,C] :
( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
=> ! [D] :
( m2_relset_1(D,A,B)
=> m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ~ v1_xboole_0(A)
=> ! [B,C] :
( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
=> ! [D] :
( m2_relset_1(D,A,B)
=> m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f43,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
& ~ v1_xboole_0(A) )
=> m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,plain,
? [A] :
( ? [B,C] :
( ? [D] :
( ~ m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B)))
& m2_relset_1(D,A,B) )
& m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) )
& ~ v1_xboole_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
? [A] :
( ? [C] :
( ? [B,D] :
( ~ m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B)))
& m2_relset_1(D,A,B) )
& m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) )
& ~ v1_xboole_0(A) ),
inference(miniscoping,[status(thm)],[f53]) ).
fof(f55,plain,
( ~ m1_subset_1(a_4_1_relset_2(sK0_skl,sK2_skl,sK1_skl,sK3_skl),k1_zfmisc_1(k1_zfmisc_1(sK2_skl)))
& m2_relset_1(sK3_skl,sK0_skl,sK2_skl)
& m1_subset_1(sK1_skl,k1_zfmisc_1(k1_zfmisc_1(sK0_skl)))
& ~ v1_xboole_0(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(A,sK0_skl),skolemize(C,sK1_skl),skolemize(B,sK2_skl),skolemize(D,sK3_skl)],[f54]) ).
fof(f56,plain,
~ v1_xboole_0(sK0_skl),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f57,plain,
m1_subset_1(sK1_skl,k1_zfmisc_1(k1_zfmisc_1(sK0_skl))),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f58,plain,
m2_relset_1(sK3_skl,sK0_skl,sK2_skl),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f59,plain,
~ m1_subset_1(a_4_1_relset_2(sK0_skl,sK2_skl,sK1_skl,sK3_skl),k1_zfmisc_1(k1_zfmisc_1(sK2_skl))),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f148,plain,
! [A,B,C,D] :
( m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B)))
| ~ m2_relset_1(D,A,B)
| ~ m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
| v1_xboole_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f43]) ).
fof(f149,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(a_4_1_relset_2(X0,X3,X1,X2),k1_zfmisc_1(k1_zfmisc_1(X3)))
| ~ m2_relset_1(X2,X0,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f178,plain,
( ~ m2_relset_1(sK3_skl,sK0_skl,sK2_skl)
| ~ m1_subset_1(sK1_skl,k1_zfmisc_1(k1_zfmisc_1(sK0_skl)))
| v1_xboole_0(sK0_skl) ),
inference(resolution,[status(thm)],[f149,f59]) ).
fof(f179,definition,
( sQ0_spl
<=> v1_xboole_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( ~ sQ0_spl
| v1_xboole_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f182,definition,
( sQ1_spl
<=> m1_subset_1(sK1_skl,k1_zfmisc_1(k1_zfmisc_1(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( sQ1_spl
| ~ m1_subset_1(sK1_skl,k1_zfmisc_1(k1_zfmisc_1(sK0_skl))) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,definition,
( sQ2_spl
<=> m2_relset_1(sK3_skl,sK0_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( sQ2_spl
| ~ m2_relset_1(sK3_skl,sK0_skl,sK2_skl) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f188,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f178,f179,f182,f185]) ).
fof(f189,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f187,f58]) ).
fof(f190,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f189]) ).
fof(f191,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f180,f56]) ).
fof(f192,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f191]) ).
fof(f193,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f184,f57]) ).
fof(f194,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f193]) ).
fof(f195,plain,
$false,
inference(sat_refutation,[status(thm)],[f188,f190,f192,f194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU429+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n017.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Mon Sep 21 06:23:26 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.21/0.56 % Drodi V4.1.1
% 0.21/0.58 % Refutation found
% 0.21/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.61 % Elapsed time: 0.169070 seconds
% 0.21/0.61 % CPU time: 0.150613 seconds
% 0.21/0.61 % Total memory used: 48.816 MB
% 0.21/0.61 % Net memory used: 48.793 MB
%------------------------------------------------------------------------------