%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR101+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 12:13:41 PM UTC 2026
% Result : Theorem 108.05s 14.92s
% Output : CNFRefutation 108.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 9 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 63 ( 28 ~; 24 |; 6 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 30 ( 29 !; 1 ?)
% 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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f14795,axiom,
s__subclass(s__Class32_2,s__Class32_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14796,axiom,
s__subclass(s__Class32_3,s__Class32_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14797,conjecture,
! [V_X] :
( s__instance(V_X,s__Class32_2)
=> s__instance(V_X,s__Class32_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14798,negated_conjecture,
~ ! [V_X] :
( s__instance(V_X,s__Class32_2)
=> s__instance(V_X,s__Class32_1) ),
inference(negated_conjecture,[status(cth)],[f14797]) ).
fof(f14838,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(f14839,plain,
! [X0,X1] :
( s__instance(X0,s__SetOrClass)
| ~ s__subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f14838]) ).
fof(f14840,plain,
! [X0,X1] :
( s__instance(X1,s__SetOrClass)
| ~ s__subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f14838]) ).
fof(f14841,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(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(miniscoping,[status(thm)],[f14841]) ).
fof(f14843,plain,
! [X0,X1,X2] :
( ~ s__instance(X2,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__subclass(X1,X2)
| s__instance(X0,X2)
| ~ s__instance(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f14842]) ).
fof(f34375,plain,
s__subclass(s__Class32_2,s__Class32_3),
inference(cnf_transformation,[status(thm)],[f14795]) ).
fof(f34376,plain,
s__subclass(s__Class32_3,s__Class32_1),
inference(cnf_transformation,[status(thm)],[f14796]) ).
fof(f34377,plain,
? [V_X] :
( ~ s__instance(V_X,s__Class32_1)
& s__instance(V_X,s__Class32_2) ),
inference(pre_NNF_transformation,[status(thm)],[f14798]) ).
fof(f34378,plain,
( ~ s__instance(sK508_skl,s__Class32_1)
& s__instance(sK508_skl,s__Class32_2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK508_skl]),skolemize(V_X,sK508_skl)],[f34377]) ).
fof(f34379,plain,
s__instance(sK508_skl,s__Class32_2),
inference(cnf_transformation,[status(thm)],[f34378]) ).
fof(f34380,plain,
~ s__instance(sK508_skl,s__Class32_1),
inference(cnf_transformation,[status(thm)],[f34378]) ).
fof(f43782,plain,
! [X0,X1,X2] :
( ~ s__subclass(X2,X1)
| ~ s__instance(X0,X2)
| ~ s__instance(X2,s__SetOrClass)
| s__instance(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14843,f14840]) ).
fof(f44129,plain,
! [X0] :
( ~ s__subclass(s__Class32_2,X0)
| ~ s__instance(s__Class32_2,s__SetOrClass)
| s__instance(sK508_skl,X0) ),
inference(resolution,[status(thm)],[f43782,f34379]) ).
fof(f44838,plain,
! [X0] :
( s__instance(sK508_skl,X0)
| ~ s__subclass(s__Class32_2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f44129,f14839]) ).
fof(f44916,plain,
s__instance(sK508_skl,s__Class32_3),
inference(resolution,[status(thm)],[f44838,f34375]) ).
fof(f45587,plain,
! [X0] :
( ~ s__subclass(s__Class32_3,X0)
| ~ s__instance(s__Class32_3,s__SetOrClass)
| s__instance(sK508_skl,X0) ),
inference(resolution,[status(thm)],[f44916,f43782]) ).
fof(f45590,plain,
! [X0] :
( s__instance(sK508_skl,X0)
| ~ s__subclass(s__Class32_3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f45587,f14839]) ).
fof(f45592,plain,
s__instance(sK508_skl,s__Class32_1),
inference(resolution,[status(thm)],[f45590,f34376]) ).
fof(f45598,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f45592,f34380]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR101+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n007.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 14:56:35 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.53/0.82 % Drodi V4.1.1
% 108.05/14.92 % Refutation found
% 108.05/14.92 % SZS status Theorem for theBenchmark: Theorem is valid
% 108.05/14.92 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 65.48/15.22 % Elapsed time: 14.726547 seconds
% 65.48/15.22 % CPU time: 112.676631 seconds
% 65.48/15.22 % Total memory used: 1.013 GB
% 65.48/15.22 % Net memory used: 991.534 MB
%------------------------------------------------------------------------------