%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR100+7 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 56.20s 11.56s
% Output : CNFRefutation 7.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 99 ( 13 equ)
% Maximal formula atoms : 22 ( 6 avg)
% Number of connectives : 128 ( 44 ~; 42 |; 38 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 53 ( 45 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14197,axiom,
s__BigSix != s__GroupOf6,
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(f55597,conjecture,
? [X__s__Animal31] : s__instance(X__s__Animal31,s__Class31_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55598,negated_conjecture,
~ ? [X__s__Animal31] : s__instance(X__s__Animal31,s__Class31_1),
inference(negated_conjecture,[status(cth)],[f55597]) ).
fof(f73621,plain,
s__BigSix != s__GroupOf6,
inference(cnf_transformation,[status(thm)],[f14197]) ).
fof(f123589,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(f123590,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)],[f123589]) ).
fof(f123591,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)],[f123590]) ).
fof(f123592,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))],[f123591]) ).
fof(f123599,plain,
! [X0,X1,X2] :
( s__instance(sK4526_skl(X1,X0,X2),X1)
| X0 = s__UnionFn(X1,X2) ),
inference(cnf_transformation,[status(thm)],[f123592]) ).
fof(f156919,plain,
! [X__s__Animal31] : ~ s__instance(X__s__Animal31,s__Class31_1),
inference(pre_NNF_transformation,[status(thm)],[f55598]) ).
fof(f156920,plain,
! [X0] : ~ s__instance(X0,s__Class31_1),
inference(cnf_transformation,[status(thm)],[f156919]) ).
fof(f167880,plain,
! [X0,X1] : X0 = s__UnionFn(s__Class31_1,X1),
inference(resolution,[status(thm)],[f123599,f156920]) ).
fof(f167891,plain,
! [X0,X1] : X0 = X1,
inference(paramodulation,[status(thm)],[f167880,f167880]) ).
fof(f167896,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f73621,f167891]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR100+7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 % Computer : n002.cluster.edu
% 0.18/0.46 % Model : x86_64 x86_64
% 0.18/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.46 % Memory : 8046.5625MB
% 0.18/0.46 % OS : Linux 6.8.0-71-generic
% 0.18/0.46 % CPULimit : 300
% 0.18/0.46 % WCLimit : 300
% 0.18/0.47 % DateTime : Mon Sep 21 15:01:18 UTC 2026
% 0.18/0.47 % CPUTime :
% 4.38/4.88 % Drodi V4.1.1
% 56.20/11.56 % Refutation found
% 56.20/11.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 56.20/11.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.51/12.60 % Elapsed time: 12.035895 seconds
% 5.51/12.60 % CPU time: 57.583871 seconds
% 5.51/12.60 % Total memory used: 4.015 GB
% 5.51/12.60 % Net memory used: 3.984 GB
%------------------------------------------------------------------------------