%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR099+6 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 227.53s 32.09s
% Output : CNFRefutation 28.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 11 unt; 4 def)
% Number of atoms : 162 ( 23 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 193 ( 69 ~; 74 |; 40 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 65 ( 59 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28085,axiom,
! [V__INST1,V__INST2] :
( ( s__instance(V__INST1,s__SetOrClass)
& s__instance(V__INST2,s__SetOrClass) )
=> ( ( s__subclass(V__INST2,V__INST1)
& s__subclass(V__INST1,V__INST2) )
=> V__INST1 = V__INST2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32412,axiom,
! [V__C2,V__U,V__C1] :
( V__U = s__UnionFn(V__C1,V__C2)
<=> ! [V__I1,V__I2,V__I3] :
( ( s__instance(V__C2,s__SetOrClass)
& s__instance(V__U,s__SetOrClass)
& s__instance(V__C1,s__SetOrClass) )
=> ( ( s__instance(V__I3,V__U)
& s__instance(V__I2,V__C2)
& s__instance(V__I1,V__C1) )
=> ( ( s__instance(V__I3,V__C2)
| s__instance(V__I3,V__C1) )
& s__instance(V__I2,V__U)
& s__instance(V__I1,V__U) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55588,axiom,
s__subclass(s__Class30_1,s__Reptile),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55589,axiom,
s__subclass(s__Reptile,s__Class30_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55590,conjecture,
s__Class30_1 = s__Reptile,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55591,negated_conjecture,
s__Class30_1 != s__Reptile,
inference(negated_conjecture,[status(cth)],[f55590]) ).
fof(f115402,plain,
! [V__INST1,V__INST2] :
( V__INST1 = V__INST2
| ~ s__subclass(V__INST2,V__INST1)
| ~ s__subclass(V__INST1,V__INST2)
| ~ s__instance(V__INST1,s__SetOrClass)
| ~ s__instance(V__INST2,s__SetOrClass) ),
inference(pre_NNF_transformation,[status(thm)],[f28085]) ).
fof(f115403,plain,
! [X0,X1] :
( X1 = X0
| ~ s__subclass(X0,X1)
| ~ s__subclass(X1,X0)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[status(thm)],[f115402]) ).
fof(f123582,plain,
! [V__C2,V__U,V__C1] :
( V__U = s__UnionFn(V__C1,V__C2)
<=> ! [V__I1,V__I2,V__I3] :
( ( ( s__instance(V__I3,V__C2)
| s__instance(V__I3,V__C1) )
& s__instance(V__I2,V__U)
& s__instance(V__I1,V__U) )
| ~ s__instance(V__I3,V__U)
| ~ s__instance(V__I2,V__C2)
| ~ s__instance(V__I1,V__C1)
| ~ s__instance(V__C2,s__SetOrClass)
| ~ s__instance(V__U,s__SetOrClass)
| ~ s__instance(V__C1,s__SetOrClass) ) ),
inference(pre_NNF_transformation,[status(thm)],[f32412]) ).
fof(f123583,plain,
! [V__C2,V__U,V__C1] :
( ( ? [V__I1,V__I2,V__I3] :
( ( ( ~ s__instance(V__I3,V__C2)
& ~ s__instance(V__I3,V__C1) )
| ~ s__instance(V__I2,V__U)
| ~ s__instance(V__I1,V__U) )
& s__instance(V__I3,V__U)
& s__instance(V__I2,V__C2)
& s__instance(V__I1,V__C1)
& s__instance(V__C2,s__SetOrClass)
& s__instance(V__U,s__SetOrClass)
& s__instance(V__C1,s__SetOrClass) )
| V__U = s__UnionFn(V__C1,V__C2) )
& ( ! [V__I1,V__I2,V__I3] :
( ( ( s__instance(V__I3,V__C2)
| s__instance(V__I3,V__C1) )
& s__instance(V__I2,V__U)
& s__instance(V__I1,V__U) )
| ~ s__instance(V__I3,V__U)
| ~ s__instance(V__I2,V__C2)
| ~ s__instance(V__I1,V__C1)
| ~ s__instance(V__C2,s__SetOrClass)
| ~ s__instance(V__U,s__SetOrClass)
| ~ s__instance(V__C1,s__SetOrClass) )
| V__U != s__UnionFn(V__C1,V__C2) ) ),
inference(NNF_transformation,[status(thm)],[f123582]) ).
fof(f123584,plain,
( ! [V__C2,V__U,V__C1] :
( ( ? [V__I1,V__I2,V__I3] :
( ( ( ~ s__instance(V__I3,V__C2)
& ~ s__instance(V__I3,V__C1) )
| ~ s__instance(V__I2,V__U)
| ~ s__instance(V__I1,V__U) )
& s__instance(V__I3,V__U)
& s__instance(V__I2,V__C2)
& s__instance(V__I1,V__C1) )
& s__instance(V__C2,s__SetOrClass)
& s__instance(V__U,s__SetOrClass)
& s__instance(V__C1,s__SetOrClass) )
| V__U = s__UnionFn(V__C1,V__C2) )
& ! [V__C2,V__U,V__C1] :
( ! [V__I1,V__I2,V__I3] :
( ( ( s__instance(V__I3,V__C2)
| s__instance(V__I3,V__C1) )
& s__instance(V__I2,V__U)
& s__instance(V__I1,V__U) )
| ~ s__instance(V__I3,V__U)
| ~ s__instance(V__I2,V__C2)
| ~ s__instance(V__I1,V__C1) )
| ~ s__instance(V__C2,s__SetOrClass)
| ~ s__instance(V__U,s__SetOrClass)
| ~ s__instance(V__C1,s__SetOrClass)
| V__U != s__UnionFn(V__C1,V__C2) ) ),
inference(miniscoping,[status(thm)],[f123583]) ).
fof(f123585,plain,
( ! [V__C2,V__U,V__C1] :
( ( ( ( ~ s__instance(sK4528_skl(V__C1,V__U,V__C2),V__C2)
& ~ s__instance(sK4528_skl(V__C1,V__U,V__C2),V__C1) )
| ~ s__instance(sK4527_skl(V__C1,V__U,V__C2),V__U)
| ~ s__instance(sK4526_skl(V__C1,V__U,V__C2),V__U) )
& s__instance(sK4528_skl(V__C1,V__U,V__C2),V__U)
& s__instance(sK4527_skl(V__C1,V__U,V__C2),V__C2)
& s__instance(sK4526_skl(V__C1,V__U,V__C2),V__C1)
& s__instance(V__C2,s__SetOrClass)
& s__instance(V__U,s__SetOrClass)
& s__instance(V__C1,s__SetOrClass) )
| V__U = s__UnionFn(V__C1,V__C2) )
& ! [V__C2,V__U,V__C1] :
( ! [V__I1,V__I2,V__I3] :
( ( ( s__instance(V__I3,V__C2)
| s__instance(V__I3,V__C1) )
& s__instance(V__I2,V__U)
& s__instance(V__I1,V__U) )
| ~ s__instance(V__I3,V__U)
| ~ s__instance(V__I2,V__C2)
| ~ s__instance(V__I1,V__C1) )
| ~ s__instance(V__C2,s__SetOrClass)
| ~ s__instance(V__U,s__SetOrClass)
| ~ s__instance(V__C1,s__SetOrClass)
| V__U != s__UnionFn(V__C1,V__C2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4526_skl,sK4527_skl,sK4528_skl]),skolemize(V__I1,sK4526_skl(V__C1,V__U,V__C2)),skolemize(V__I2,sK4527_skl(V__C1,V__U,V__C2)),skolemize(V__I3,sK4528_skl(V__C1,V__U,V__C2))],[f123584]) ).
fof(f123589,plain,
! [X0,X1,X2] :
( s__instance(X1,s__SetOrClass)
| X0 = s__UnionFn(X1,X2) ),
inference(cnf_transformation,[status(thm)],[f123585]) ).
fof(f156903,plain,
s__subclass(s__Class30_1,s__Reptile),
inference(cnf_transformation,[status(thm)],[f55588]) ).
fof(f156904,plain,
s__subclass(s__Reptile,s__Class30_1),
inference(cnf_transformation,[status(thm)],[f55589]) ).
fof(f156905,plain,
s__Class30_1 != s__Reptile,
inference(cnf_transformation,[status(thm)],[f55591]) ).
fof(f168010,plain,
! [X0,X1,X2] :
( s__instance(X2,s__SetOrClass)
| s__instance(X2,s__SetOrClass)
| X0 = X1 ),
inference(paramodulation,[status(thm)],[f123589,f123589]) ).
fof(f168011,definition,
! [X0,X1] :
( sQ810_spl
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ810_spl])],[split_symbol_definition]) ).
fof(f168012,plain,
! [X0,X1] :
( ~ sQ810_spl
| X0 = X1 ),
inference(component_clause,[status(thm)],[f168011]) ).
fof(f168014,definition,
! [X2] :
( sQ811_spl
<=> ( s__instance(X2,s__SetOrClass)
| s__instance(X2,s__SetOrClass) ) ),
introduced(definition,[new_symbols(definition,[sQ811_spl])],[split_symbol_definition]) ).
fof(f168015,plain,
! [X0] :
( ~ sQ811_spl
| s__instance(X0,s__SetOrClass)
| s__instance(X0,s__SetOrClass) ),
inference(component_clause,[status(thm)],[f168014]) ).
fof(f168017,plain,
( sQ811_spl
| sQ810_spl ),
inference(split_clause,[status(thm)],[f168010,f168011,f168014]) ).
fof(f168018,plain,
! [X0] :
( ~ sQ811_spl
| s__instance(X0,s__SetOrClass) ),
inference(duplicate_literals_removal,[status(thm)],[f168015]) ).
fof(f168020,plain,
( ~ sQ810_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f156905,f168012]) ).
fof(f168021,plain,
~ sQ810_spl,
inference(contradiction_clause,[status(thm)],[f168020]) ).
fof(f170582,plain,
! [X0,X1] :
( ~ sQ811_spl
| X0 = X1
| ~ s__subclass(X1,X0)
| ~ s__subclass(X0,X1)
| ~ s__instance(X0,s__SetOrClass) ),
inference(forward_subsumption_resolution,[status(thm)],[f115403,f168018]) ).
fof(f170590,plain,
! [X0,X1] :
( ~ sQ811_spl
| X0 = X1
| ~ s__subclass(X1,X0)
| ~ s__subclass(X0,X1) ),
inference(resolution,[status(thm)],[f170582,f168018]) ).
fof(f170644,plain,
( ~ sQ811_spl
| s__Reptile = s__Class30_1
| ~ s__subclass(s__Reptile,s__Class30_1) ),
inference(resolution,[status(thm)],[f170590,f156903]) ).
fof(f170933,definition,
( sQ1309_spl
<=> s__Class30_1 = s__Reptile ),
introduced(definition,[new_symbols(definition,[sQ1309_spl])],[split_symbol_definition]) ).
fof(f170934,plain,
( ~ sQ1309_spl
| s__Class30_1 = s__Reptile ),
inference(component_clause,[status(thm)],[f170933]) ).
fof(f170944,definition,
( sQ1312_spl
<=> s__subclass(s__Reptile,s__Class30_1) ),
introduced(definition,[new_symbols(definition,[sQ1312_spl])],[split_symbol_definition]) ).
fof(f170946,plain,
( sQ1312_spl
| ~ s__subclass(s__Reptile,s__Class30_1) ),
inference(component_clause,[status(thm)],[f170944]) ).
fof(f170947,plain,
( ~ sQ811_spl
| sQ1309_spl
| ~ sQ1312_spl ),
inference(split_clause,[status(thm)],[f170644,f170944,f170933,f168014]) ).
fof(f170948,plain,
( ~ sQ1309_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f170934,f156905]) ).
fof(f170949,plain,
~ sQ1309_spl,
inference(contradiction_clause,[status(thm)],[f170948]) ).
fof(f170950,plain,
( sQ1312_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f170946,f156904]) ).
fof(f170951,plain,
sQ1312_spl,
inference(contradiction_clause,[status(thm)],[f170950]) ).
fof(f170952,plain,
$false,
inference(sat_refutation,[status(thm)],[f168017,f168021,f170947,f170949,f170951]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR099+6 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n014.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 21 14:58:04 UTC 2026
% 0.17/0.43 % CPUTime :
% 3.45/3.72 % Drodi V4.1.1
% 227.53/32.09 % Refutation found
% 227.53/32.09 % SZS status Theorem for theBenchmark: Theorem is valid
% 227.53/32.09 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.65/33.15 % Elapsed time: 32.611426 seconds
% 9.65/33.15 % CPU time: 229.507032 seconds
% 9.65/33.15 % Total memory used: 4.232 GB
% 9.65/33.15 % Net memory used: 4.212 GB
%------------------------------------------------------------------------------