%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR106+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 : n006.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 12:13:44 PM UTC 2026
% Result : Theorem 27.84s 6.49s
% Output : CNFRefutation 28.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 106 ( 13 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 137 ( 50 ~; 44 |; 38 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 61 ( 51 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14197,axiom,
s__BigSix != s__GroupOf6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27726,axiom,
! [V__INST] :
( s__instance(V__INST,s__TimePoint)
=> ~ s__before(V__INST,V__INST) ),
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(f55594,conjecture,
? [X__s__TimePoint37_2,X__s__TimePoint37_1] : ~ s__before(X__s__TimePoint37_2,X__s__TimePoint37_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55595,negated_conjecture,
~ ? [X__s__TimePoint37_2,X__s__TimePoint37_1] : ~ s__before(X__s__TimePoint37_2,X__s__TimePoint37_1),
inference(negated_conjecture,[status(cth)],[f55594]) ).
fof(f73618,plain,
s__BigSix != s__GroupOf6,
inference(cnf_transformation,[status(thm)],[f14197]) ).
fof(f114694,plain,
! [V__INST] :
( ~ s__before(V__INST,V__INST)
| ~ s__instance(V__INST,s__TimePoint) ),
inference(pre_NNF_transformation,[status(thm)],[f27726]) ).
fof(f114695,plain,
! [X0] :
( ~ s__before(X0,X0)
| ~ s__instance(X0,s__TimePoint) ),
inference(cnf_transformation,[status(thm)],[f114694]) ).
fof(f123586,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(f123587,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)],[f123586]) ).
fof(f123588,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)],[f123587]) ).
fof(f123589,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))],[f123588]) ).
fof(f123596,plain,
! [X0,X1,X2] :
( s__instance(sK4526_skl(X1,X0,X2),X1)
| X0 = s__UnionFn(X1,X2) ),
inference(cnf_transformation,[status(thm)],[f123589]) ).
fof(f156913,plain,
! [X__s__TimePoint37_2,X__s__TimePoint37_1] : s__before(X__s__TimePoint37_2,X__s__TimePoint37_1),
inference(pre_NNF_transformation,[status(thm)],[f55595]) ).
fof(f156914,plain,
! [X0,X1] : s__before(X0,X1),
inference(cnf_transformation,[status(thm)],[f156913]) ).
fof(f167799,plain,
! [X0] : ~ s__instance(X0,s__TimePoint),
inference(forward_subsumption_resolution,[status(thm)],[f114695,f156914]) ).
fof(f167875,plain,
! [X0,X1] : X0 = s__UnionFn(s__TimePoint,X1),
inference(resolution,[status(thm)],[f123596,f167799]) ).
fof(f167885,plain,
! [X0,X1] : X0 = X1,
inference(paramodulation,[status(thm)],[f167875,f167875]) ).
fof(f167890,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f73618,f167885]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR106+7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 14:59:57 UTC 2026
% 0.08/0.36 % CPUTime :
% 2.80/3.11 % Drodi V4.1.1
% 27.84/6.49 % Refutation found
% 27.84/6.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 27.84/6.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.70/7.35 % Elapsed time: 6.847705 seconds
% 3.70/7.35 % CPU time: 30.351368 seconds
% 3.70/7.35 % Total memory used: 3.969 GB
% 3.70/7.35 % Net memory used: 3.929 GB
%------------------------------------------------------------------------------