%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR101+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 71.46s 9.89s
% Output : CNFRefutation 67.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 13 unt; 0 def)
% Number of atoms : 65 ( 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 : 29 ( 28 !; 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/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(f7224,axiom,
s__subclass(s__Class32_1,s__Class32_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7225,axiom,
s__subclass(s__Class32_2,s__Class32_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7226,axiom,
s__subclass(s__Class32_3,s__Class32_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7227,conjecture,
! [V_X] :
( s__instance(V_X,s__Class32_2)
=> s__instance(V_X,s__Class32_1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7228,negated_conjecture,
~ ! [V_X] :
( s__instance(V_X,s__Class32_2)
=> s__instance(V_X,s__Class32_1) ),
inference(negated_conjecture,[status(cth)],[f7227]) ).
fof(f7268,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(f7269,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[status(thm)],[f7268]) ).
fof(f7270,plain,
! [X0,X1] :
( ~ s__subclass(X1,X0)
| s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[status(thm)],[f7268]) ).
fof(f7271,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(f7272,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)],[f7271]) ).
fof(f7273,plain,
! [X0,X1,X2] :
( ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X2,s__SetOrClass)
| ~ s__instance(X0,X2)
| ~ s__subclass(X2,X1)
| s__instance(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7272]) ).
fof(f19234,plain,
s__subclass(s__Class32_1,s__Class32_2),
inference(cnf_transformation,[status(thm)],[f7224]) ).
fof(f19235,plain,
s__subclass(s__Class32_2,s__Class32_3),
inference(cnf_transformation,[status(thm)],[f7225]) ).
fof(f19236,plain,
s__subclass(s__Class32_3,s__Class32_1),
inference(cnf_transformation,[status(thm)],[f7226]) ).
fof(f19237,plain,
? [V_X] :
( ~ s__instance(V_X,s__Class32_1)
& s__instance(V_X,s__Class32_2) ),
inference(pre_NNF_transformation,[status(thm)],[f7228]) ).
fof(f19238,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)],[f19237]) ).
fof(f19239,plain,
s__instance(sK508_skl,s__Class32_2),
inference(cnf_transformation,[status(thm)],[f19238]) ).
fof(f19240,plain,
~ s__instance(sK508_skl,s__Class32_1),
inference(cnf_transformation,[status(thm)],[f19238]) ).
fof(f19662,plain,
s__instance(s__Class32_1,s__SetOrClass),
inference(resolution,[status(thm)],[f7269,f19234]) ).
fof(f19690,plain,
! [X0,X1,X2] :
( s__instance(X0,X2)
| ~ s__instance(X2,s__SetOrClass)
| ~ s__subclass(X1,X2)
| ~ s__instance(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f7273,f7269]) ).
fof(f19741,plain,
! [X0] :
( ~ s__instance(s__Class32_1,s__SetOrClass)
| ~ s__subclass(X0,s__Class32_1)
| ~ s__instance(sK508_skl,X0) ),
inference(resolution,[status(thm)],[f19690,f19240]) ).
fof(f19745,plain,
! [X0] :
( ~ s__subclass(X0,s__Class32_1)
| ~ s__instance(sK508_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f19741,f19662]) ).
fof(f19748,plain,
~ s__instance(sK508_skl,s__Class32_3),
inference(resolution,[status(thm)],[f19745,f19236]) ).
fof(f19751,plain,
! [X0] :
( ~ s__instance(sK508_skl,X0)
| ~ s__instance(s__Class32_3,s__SetOrClass)
| ~ s__subclass(X0,s__Class32_3) ),
inference(resolution,[status(thm)],[f19748,f19690]) ).
fof(f19754,plain,
( ~ s__instance(sK508_skl,s__Class32_2)
| ~ s__instance(s__Class32_3,s__SetOrClass) ),
inference(resolution,[status(thm)],[f19751,f19235]) ).
fof(f19755,plain,
~ s__instance(s__Class32_3,s__SetOrClass),
inference(forward_subsumption_resolution,[status(thm)],[f19754,f19239]) ).
fof(f20708,plain,
s__instance(s__Class32_3,s__SetOrClass),
inference(resolution,[status(thm)],[f7270,f19235]) ).
fof(f20715,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f20708,f19755]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR101+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 14:58:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.54/0.81 % Drodi V4.1.1
% 71.46/9.89 % Refutation found
% 71.46/9.89 % SZS status Theorem for theBenchmark: Theorem is valid
% 71.46/9.89 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.93/10.23 % Elapsed time: 9.840031 seconds
% 4.93/10.23 % CPU time: 72.822541 seconds
% 4.93/10.23 % Total memory used: 718.691 MB
% 4.93/10.23 % Net memory used: 704.971 MB
%------------------------------------------------------------------------------