%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR101+5 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 128.56s 17.13s
% Output : CNFRefutation 106.70s
% 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 : 69 ( 34 ~; 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(f16756,axiom,
s__subclass(s__Class32_2,s__Class32_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16757,axiom,
s__subclass(s__Class32_3,s__Class32_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16758,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(f16759,negated_conjecture,
~ ! [V_X] :
( s__instance(V_X,s__Class32_2)
=> s__instance(V_X,s__Class32_1) ),
inference(negated_conjecture,[status(cth)],[f16758]) ).
fof(f16799,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(f16800,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[status(thm)],[f16799]) ).
fof(f16801,plain,
! [X0,X1] :
( ~ s__subclass(X1,X0)
| s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[status(thm)],[f16799]) ).
fof(f16802,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(f16803,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)],[f16802]) ).
fof(f16804,plain,
! [X0,X1,X2] :
( ~ s__subclass(X0,X1)
| s__instance(X2,X1)
| ~ s__instance(X2,X0)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[status(thm)],[f16803]) ).
fof(f44219,plain,
s__subclass(s__Class32_2,s__Class32_3),
inference(cnf_transformation,[status(thm)],[f16756]) ).
fof(f44220,plain,
s__subclass(s__Class32_3,s__Class32_1),
inference(cnf_transformation,[status(thm)],[f16757]) ).
fof(f44221,plain,
? [V_X] :
( ~ s__instance(V_X,s__Class32_1)
& s__instance(V_X,s__Class32_2) ),
inference(pre_NNF_transformation,[status(thm)],[f16759]) ).
fof(f44222,plain,
( ~ s__instance(sK1485_skl,s__Class32_1)
& s__instance(sK1485_skl,s__Class32_2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1485_skl]),skolemize(V_X,sK1485_skl)],[f44221]) ).
fof(f44223,plain,
s__instance(sK1485_skl,s__Class32_2),
inference(cnf_transformation,[status(thm)],[f44222]) ).
fof(f44224,plain,
~ s__instance(sK1485_skl,s__Class32_1),
inference(cnf_transformation,[status(thm)],[f44222]) ).
fof(f49648,plain,
! [X0,X1,X2] :
( ~ s__instance(X2,s__SetOrClass)
| s__instance(X0,X2)
| ~ s__subclass(X1,X2)
| ~ s__instance(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f16804,f16800]) ).
fof(f50766,plain,
! [X0] :
( ~ s__instance(s__Class32_1,s__SetOrClass)
| ~ s__subclass(X0,s__Class32_1)
| ~ s__instance(sK1485_skl,X0) ),
inference(resolution,[status(thm)],[f49648,f44224]) ).
fof(f52141,plain,
! [X0] :
( ~ s__instance(sK1485_skl,X0)
| ~ s__subclass(X0,s__Class32_1) ),
inference(forward_subsumption_resolution,[status(thm)],[f50766,f16801]) ).
fof(f52226,plain,
~ s__instance(sK1485_skl,s__Class32_3),
inference(resolution,[status(thm)],[f52141,f44220]) ).
fof(f52611,plain,
! [X0] :
( ~ s__instance(s__Class32_3,s__SetOrClass)
| ~ s__subclass(X0,s__Class32_3)
| ~ s__instance(sK1485_skl,X0) ),
inference(resolution,[status(thm)],[f52226,f49648]) ).
fof(f52612,plain,
! [X0] :
( ~ s__instance(sK1485_skl,X0)
| ~ s__subclass(X0,s__Class32_3) ),
inference(forward_subsumption_resolution,[status(thm)],[f52611,f16801]) ).
fof(f52631,plain,
~ s__instance(sK1485_skl,s__Class32_2),
inference(resolution,[status(thm)],[f52612,f44219]) ).
fof(f52635,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f52631,f44223]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR101+5 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 14:58:42 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.65/0.95 % Drodi V4.1.1
% 128.56/17.13 % Refutation found
% 128.56/17.13 % SZS status Theorem for theBenchmark: Theorem is valid
% 128.56/17.13 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 106.70/17.38 % Elapsed time: 16.990161 seconds
% 106.70/17.38 % CPU time: 129.554779 seconds
% 106.70/17.38 % Total memory used: 1.348 GB
% 106.70/17.38 % Net memory used: 1.335 GB
%------------------------------------------------------------------------------