%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS180+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 12:59:52 PM UTC 2026
% Result : Theorem 0.09s 0.38s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 55 ( 6 unt; 3 def)
% Number of atoms : 195 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 236 ( 96 ~; 90 |; 36 &)
% ( 9 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 161 ( 135 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [S1,S2] :
( ! [Ax,C] :
( status(Ax,C,S1)
=> status(Ax,C,S2) )
<=> isa(S1,S2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [S1,S2] :
( ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) )
<=> nota(S1,S2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [S1,S2] :
( ! [Ax,C] :
( status(Ax,C,S1)
=> ~ status(Ax,C,S2) )
<=> nevera(S1,S2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [S1,S2] :
( ! [Ax,C] :
( status(Ax,C,S1)
<~> status(Ax,C,S2) )
<=> xora(S1,S2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,conjecture,
! [S1,S2] :
? [Ax,C] :
( status(Ax,C,S1)
=> ~ ( ( xora(S1,S2)
| nevera(S1,S2)
| nota(S1,S2) )
& isa(S1,S2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ ! [S1,S2] :
? [Ax,C] :
( status(Ax,C,S1)
=> ~ ( ( xora(S1,S2)
| nevera(S1,S2)
| nota(S1,S2) )
& isa(S1,S2) ) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f22,plain,
! [S1,S2] :
( ! [Ax,C] :
( status(Ax,C,S2)
| ~ status(Ax,C,S1) )
<=> isa(S1,S2) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f23,plain,
! [S1,S2] :
( ( ~ isa(S1,S2)
| ! [Ax,C] :
( status(Ax,C,S2)
| ~ status(Ax,C,S1) ) )
& ( isa(S1,S2)
| ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) ) ),
inference(NNF_transformation,[status(thm)],[f22]) ).
fof(f24,plain,
( ! [S1,S2] :
( ~ isa(S1,S2)
| ! [Ax,C] :
( status(Ax,C,S2)
| ~ status(Ax,C,S1) ) )
& ! [S1,S2] :
( isa(S1,S2)
| ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f25,plain,
( ! [S1,S2] :
( ~ isa(S1,S2)
| ! [Ax,C] :
( status(Ax,C,S2)
| ~ status(Ax,C,S1) ) )
& ! [S1,S2] :
( isa(S1,S2)
| ( ~ status(sK2_skl(S2,S1),sK3_skl(S2,S1),S2)
& status(sK2_skl(S2,S1),sK3_skl(S2,S1),S1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(Ax,sK2_skl(S2,S1)),skolemize(C,sK3_skl(S2,S1))],[f24]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( ~ isa(X2,X3)
| status(X0,X1,X3)
| ~ status(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f29,plain,
! [S1,S2] :
( ( ~ nota(S1,S2)
| ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) )
& ( nota(S1,S2)
| ! [Ax,C] :
( status(Ax,C,S2)
| ~ status(Ax,C,S1) ) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f30,plain,
( ! [S1,S2] :
( ~ nota(S1,S2)
| ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) )
& ! [S1,S2] :
( nota(S1,S2)
| ! [Ax,C] :
( status(Ax,C,S2)
| ~ status(Ax,C,S1) ) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f31,plain,
( ! [S1,S2] :
( ~ nota(S1,S2)
| ( ~ status(sK4_skl(S2,S1),sK5_skl(S2,S1),S2)
& status(sK4_skl(S2,S1),sK5_skl(S2,S1),S1) ) )
& ! [S1,S2] :
( nota(S1,S2)
| ! [Ax,C] :
( status(Ax,C,S2)
| ~ status(Ax,C,S1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl]),skolemize(Ax,sK4_skl(S2,S1)),skolemize(C,sK5_skl(S2,S1))],[f30]) ).
fof(f34,plain,
! [X0,X1] :
( ~ nota(X1,X0)
| ~ status(sK4_skl(X0,X1),sK5_skl(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f35,plain,
! [S1,S2] :
( ! [Ax,C] :
( ~ status(Ax,C,S2)
| ~ status(Ax,C,S1) )
<=> nevera(S1,S2) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f36,plain,
! [S1,S2] :
( ( ~ nevera(S1,S2)
| ! [Ax,C] :
( ~ status(Ax,C,S2)
| ~ status(Ax,C,S1) ) )
& ( nevera(S1,S2)
| ? [Ax,C] :
( status(Ax,C,S2)
& status(Ax,C,S1) ) ) ),
inference(NNF_transformation,[status(thm)],[f35]) ).
fof(f37,plain,
( ! [S1,S2] :
( ~ nevera(S1,S2)
| ! [Ax,C] :
( ~ status(Ax,C,S2)
| ~ status(Ax,C,S1) ) )
& ! [S1,S2] :
( nevera(S1,S2)
| ? [Ax,C] :
( status(Ax,C,S2)
& status(Ax,C,S1) ) ) ),
inference(miniscoping,[status(thm)],[f36]) ).
fof(f38,plain,
( ! [S1,S2] :
( ~ nevera(S1,S2)
| ! [Ax,C] :
( ~ status(Ax,C,S2)
| ~ status(Ax,C,S1) ) )
& ! [S1,S2] :
( nevera(S1,S2)
| ( status(sK6_skl(S2,S1),sK7_skl(S2,S1),S2)
& status(sK6_skl(S2,S1),sK7_skl(S2,S1),S1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl]),skolemize(Ax,sK6_skl(S2,S1)),skolemize(C,sK7_skl(S2,S1))],[f37]) ).
fof(f41,plain,
! [X0,X1,X2,X3] :
( ~ nevera(X2,X3)
| ~ status(X0,X1,X3)
| ~ status(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f42,plain,
! [S1,S2] :
( ( ~ xora(S1,S2)
| ! [Ax,C] :
( ( ~ status(Ax,C,S2)
| ~ status(Ax,C,S1) )
& ( status(Ax,C,S2)
| status(Ax,C,S1) ) ) )
& ( xora(S1,S2)
| ? [Ax,C] :
( ( ~ status(Ax,C,S2)
| status(Ax,C,S1) )
& ( status(Ax,C,S2)
| ~ status(Ax,C,S1) ) ) ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f43,plain,
( ! [S1,S2] :
( ~ xora(S1,S2)
| ( ! [Ax,C] :
( ~ status(Ax,C,S2)
| ~ status(Ax,C,S1) )
& ! [Ax,C] :
( status(Ax,C,S2)
| status(Ax,C,S1) ) ) )
& ! [S1,S2] :
( xora(S1,S2)
| ? [Ax,C] :
( ( ~ status(Ax,C,S2)
| status(Ax,C,S1) )
& ( status(Ax,C,S2)
| ~ status(Ax,C,S1) ) ) ) ),
inference(miniscoping,[status(thm)],[f42]) ).
fof(f44,plain,
( ! [S1,S2] :
( ~ xora(S1,S2)
| ( ! [Ax,C] :
( ~ status(Ax,C,S2)
| ~ status(Ax,C,S1) )
& ! [Ax,C] :
( status(Ax,C,S2)
| status(Ax,C,S1) ) ) )
& ! [S1,S2] :
( xora(S1,S2)
| ( ( ~ status(sK8_skl(S2,S1),sK9_skl(S2,S1),S2)
| status(sK8_skl(S2,S1),sK9_skl(S2,S1),S1) )
& ( status(sK8_skl(S2,S1),sK9_skl(S2,S1),S2)
| ~ status(sK8_skl(S2,S1),sK9_skl(S2,S1),S1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl]),skolemize(Ax,sK8_skl(S2,S1)),skolemize(C,sK9_skl(S2,S1))],[f43]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( ~ xora(X2,X3)
| ~ status(X0,X1,X3)
| ~ status(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f82,plain,
? [S1,S2] :
! [Ax,C] :
( ( xora(S1,S2)
| nevera(S1,S2)
| nota(S1,S2) )
& isa(S1,S2)
& status(Ax,C,S1) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f83,plain,
? [S1] :
( ? [S2] :
( ( xora(S1,S2)
| nevera(S1,S2)
| nota(S1,S2) )
& isa(S1,S2) )
& ! [Ax,C] : status(Ax,C,S1) ),
inference(miniscoping,[status(thm)],[f82]) ).
fof(f84,plain,
( ( xora(sK29_skl,sK30_skl)
| nevera(sK29_skl,sK30_skl)
| nota(sK29_skl,sK30_skl) )
& isa(sK29_skl,sK30_skl)
& ! [Ax,C] : status(Ax,C,sK29_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29_skl,sK30_skl]),skolemize(S1,sK29_skl),skolemize(S2,sK30_skl)],[f83]) ).
fof(f85,plain,
! [X0,X1] : status(X0,X1,sK29_skl),
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f86,plain,
isa(sK29_skl,sK30_skl),
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f87,plain,
( xora(sK29_skl,sK30_skl)
| nevera(sK29_skl,sK30_skl)
| nota(sK29_skl,sK30_skl) ),
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f88,definition,
( sQ0_spl
<=> nota(sK29_skl,sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f89,plain,
( ~ sQ0_spl
| nota(sK29_skl,sK30_skl) ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f91,definition,
( sQ1_spl
<=> nevera(sK29_skl,sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f92,plain,
( ~ sQ1_spl
| nevera(sK29_skl,sK30_skl) ),
inference(component_clause,[status(thm)],[f91]) ).
fof(f94,definition,
( sQ2_spl
<=> xora(sK29_skl,sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f95,plain,
( ~ sQ2_spl
| xora(sK29_skl,sK30_skl) ),
inference(component_clause,[status(thm)],[f94]) ).
fof(f97,plain,
( sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f87,f88,f91,f94]) ).
fof(f98,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ status(X0,X1,sK30_skl)
| ~ status(X0,X1,sK29_skl) ),
inference(resolution,[status(thm)],[f48,f95]) ).
fof(f99,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ status(X0,X1,sK30_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f98,f85]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ isa(X2,sK30_skl)
| ~ status(X0,X1,X2) ),
inference(resolution,[status(thm)],[f99,f28]) ).
fof(f101,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ status(X0,X1,sK29_skl) ),
inference(resolution,[status(thm)],[f100,f86]) ).
fof(f102,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f101,f85]) ).
fof(f103,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f102]) ).
fof(f104,plain,
( ~ sQ0_spl
| ~ status(sK4_skl(sK30_skl,sK29_skl),sK5_skl(sK30_skl,sK29_skl),sK30_skl) ),
inference(resolution,[status(thm)],[f34,f89]) ).
fof(f105,plain,
! [X0] :
( ~ sQ0_spl
| ~ isa(X0,sK30_skl)
| ~ status(sK4_skl(sK30_skl,sK29_skl),sK5_skl(sK30_skl,sK29_skl),X0) ),
inference(resolution,[status(thm)],[f104,f28]) ).
fof(f106,plain,
( ~ sQ0_spl
| ~ status(sK4_skl(sK30_skl,sK29_skl),sK5_skl(sK30_skl,sK29_skl),sK29_skl) ),
inference(resolution,[status(thm)],[f105,f86]) ).
fof(f108,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f106,f85]) ).
fof(f109,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f108]) ).
fof(f110,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ status(X0,X1,sK30_skl)
| ~ status(X0,X1,sK29_skl) ),
inference(resolution,[status(thm)],[f92,f41]) ).
fof(f111,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ status(X0,X1,sK30_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f110,f85]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ isa(X2,sK30_skl)
| ~ status(X0,X1,X2) ),
inference(resolution,[status(thm)],[f111,f28]) ).
fof(f118,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ status(X0,X1,sK29_skl) ),
inference(resolution,[status(thm)],[f115,f86]) ).
fof(f120,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f118,f85]) ).
fof(f121,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f120]) ).
fof(f122,plain,
$false,
inference(sat_refutation,[status(thm)],[f97,f103,f109,f121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS180+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 22:55:25 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.41 % Elapsed time: 0.039789 seconds
% 0.09/0.41 % CPU time: 0.099127 seconds
% 0.09/0.41 % Total memory used: 11.607 MB
% 0.09/0.41 % Net memory used: 11.288 MB
%------------------------------------------------------------------------------