%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR100+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 12:13:40 PM UTC 2026
% Result : Theorem 212.12s 27.72s
% Output : CNFRefutation 196.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 43 ( 15 unt; 4 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 102 ( 50 ~; 41 |; 4 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [V__X,V__Y] :
( s__subclass(V__X,V__Y)
=> ( s__instance(V__Y,s__SetOrClass)
& s__instance(V__X,s__SetOrClass) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [V__X,V__Y,V__Z] :
( ( s__instance(V__X,s__SetOrClass)
& s__instance(V__Y,s__SetOrClass) )
=> ( ( s__instance(V__Z,V__X)
& s__subclass(V__X,V__Y) )
=> s__instance(V__Z,V__Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14793,axiom,
s__subclass(s__Class31_3,s__Animal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14795,axiom,
s__subclass(s__Class31_2,s__Class31_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14796,axiom,
s__subclass(s__Class31_3,s__Class31_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14797,axiom,
s__instance(s__Animal31,s__Class31_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14798,conjecture,
s__instance(s__Animal31,s__Class31_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14799,negated_conjecture,
~ s__instance(s__Animal31,s__Class31_1),
inference(negated_conjecture,[status(cth)],[f14798]) ).
fof(f14839,plain,
! [V__X,V__Y] :
( ( s__instance(V__Y,s__SetOrClass)
& s__instance(V__X,s__SetOrClass) )
| ~ s__subclass(V__X,V__Y) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f14840,plain,
! [X0,X1] :
( s__instance(X0,s__SetOrClass)
| ~ s__subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f14839]) ).
fof(f14841,plain,
! [X0,X1] :
( ~ s__subclass(X1,X0)
| s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[status(thm)],[f14839]) ).
fof(f14842,plain,
! [V__X,V__Y,V__Z] :
( s__instance(V__Z,V__Y)
| ~ s__instance(V__Z,V__X)
| ~ s__subclass(V__X,V__Y)
| ~ s__instance(V__X,s__SetOrClass)
| ~ s__instance(V__Y,s__SetOrClass) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f14843,plain,
! [V__X,V__Y] :
( ! [V__Z] :
( s__instance(V__Z,V__Y)
| ~ s__instance(V__Z,V__X)
| ~ s__subclass(V__X,V__Y) )
| ~ s__instance(V__X,s__SetOrClass)
| ~ s__instance(V__Y,s__SetOrClass) ),
inference(miniscoping,[status(thm)],[f14842]) ).
fof(f14844,plain,
! [X0,X1,X2] :
( ~ s__instance(X2,X0)
| s__instance(X2,X1)
| ~ s__instance(X0,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f14843]) ).
fof(f34374,plain,
s__subclass(s__Class31_3,s__Animal),
inference(cnf_transformation,[status(thm)],[f14793]) ).
fof(f34376,plain,
s__subclass(s__Class31_2,s__Class31_3),
inference(cnf_transformation,[status(thm)],[f14795]) ).
fof(f34377,plain,
s__subclass(s__Class31_3,s__Class31_1),
inference(cnf_transformation,[status(thm)],[f14796]) ).
fof(f34378,plain,
s__instance(s__Animal31,s__Class31_2),
inference(cnf_transformation,[status(thm)],[f14797]) ).
fof(f34379,plain,
~ s__instance(s__Animal31,s__Class31_1),
inference(cnf_transformation,[status(thm)],[f14799]) ).
fof(f35136,plain,
! [X0,X1,X2] :
( ~ s__instance(X0,X2)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__subclass(X2,X1)
| s__instance(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14844,f14840]) ).
fof(f35137,plain,
! [X0] :
( ~ s__instance(s__Animal31,X0)
| ~ s__instance(s__Class31_1,s__SetOrClass)
| ~ s__subclass(X0,s__Class31_1) ),
inference(resolution,[status(thm)],[f35136,f34379]) ).
fof(f35369,definition,
! [X0] :
( sQ100_spl
<=> ( ~ s__instance(s__Animal31,X0)
| ~ s__subclass(X0,s__Class31_1) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f35370,plain,
! [X0] :
( ~ sQ100_spl
| ~ s__instance(s__Animal31,X0)
| ~ s__subclass(X0,s__Class31_1) ),
inference(component_clause,[status(thm)],[f35369]) ).
fof(f35372,definition,
( sQ101_spl
<=> s__instance(s__Class31_1,s__SetOrClass) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f35374,plain,
( sQ101_spl
| ~ s__instance(s__Class31_1,s__SetOrClass) ),
inference(component_clause,[status(thm)],[f35372]) ).
fof(f35375,plain,
( ~ sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f35137,f35369,f35372]) ).
fof(f36025,plain,
! [X0] :
( sQ101_spl
| ~ s__subclass(X0,s__Class31_1) ),
inference(resolution,[status(thm)],[f35374,f14841]) ).
fof(f36040,plain,
( ~ sQ100_spl
| ~ s__instance(s__Animal31,s__Class31_3) ),
inference(resolution,[status(thm)],[f35370,f34377]) ).
fof(f36168,plain,
! [X0] :
( ~ sQ100_spl
| ~ s__instance(s__Animal31,X0)
| ~ s__instance(s__Class31_3,s__SetOrClass)
| ~ s__subclass(X0,s__Class31_3) ),
inference(resolution,[status(thm)],[f36040,f35136]) ).
fof(f36169,definition,
! [X0] :
( sQ297_spl
<=> ( ~ s__instance(s__Animal31,X0)
| ~ s__subclass(X0,s__Class31_3) ) ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f36170,plain,
! [X0] :
( ~ sQ297_spl
| ~ s__instance(s__Animal31,X0)
| ~ s__subclass(X0,s__Class31_3) ),
inference(component_clause,[status(thm)],[f36169]) ).
fof(f36172,definition,
( sQ298_spl
<=> s__instance(s__Class31_3,s__SetOrClass) ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f36174,plain,
( sQ298_spl
| ~ s__instance(s__Class31_3,s__SetOrClass) ),
inference(component_clause,[status(thm)],[f36172]) ).
fof(f36175,plain,
( ~ sQ100_spl
| ~ sQ298_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f36168,f36169,f36172,f35369]) ).
fof(f36191,plain,
( sQ101_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f34377,f36025]) ).
fof(f36197,plain,
sQ101_spl,
inference(contradiction_clause,[status(thm)],[f36191]) ).
fof(f36208,plain,
! [X0] :
( sQ298_spl
| ~ s__subclass(s__Class31_3,X0) ),
inference(resolution,[status(thm)],[f36174,f14840]) ).
fof(f36227,plain,
( ~ sQ297_spl
| ~ s__instance(s__Animal31,s__Class31_2) ),
inference(resolution,[status(thm)],[f36170,f34376]) ).
fof(f36229,plain,
( ~ sQ297_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f36227,f34378]) ).
fof(f36230,plain,
~ sQ297_spl,
inference(contradiction_clause,[status(thm)],[f36229]) ).
fof(f36231,plain,
( sQ298_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f34374,f36208]) ).
fof(f36237,plain,
sQ298_spl,
inference(contradiction_clause,[status(thm)],[f36231]) ).
fof(f36238,plain,
$false,
inference(sat_refutation,[status(thm)],[f35375,f36175,f36197,f36230,f36237]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR100+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 % Computer : n018.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 21 15:00:14 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.69/0.96 % Drodi V4.1.1
% 212.12/27.72 % Refutation found
% 212.12/27.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 212.12/27.72 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 196.88/27.90 % Elapsed time: 27.481015 seconds
% 196.88/27.90 % CPU time: 212.812618 seconds
% 196.88/27.90 % Total memory used: 1.135 GB
% 196.88/27.90 % Net memory used: 1.093 GB
%------------------------------------------------------------------------------