%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COM147+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 12:10:29 PM UTC 2026
% Result : Theorem 0.16s 5.44s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 3 unt; 0 def)
% Number of atoms : 26 ( 9 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 27 ( 13 ~; 3 |; 8 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 36 ( 28 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [Vx,VS,Ve,VExp0] :
( VExp0 = vabs(Vx,VS,Ve)
=> visValue(VExp0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,conjecture,
! [VTin,Vx,VS] :
( ( ~ visValue(vabs(Vx,VS,ve1))
& vtcheck(vempty,vabs(Vx,VS,ve1),VTin) )
=> ? [Veout] : vreduce(vabs(Vx,VS,ve1)) = vsomeExp(Veout) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
~ ! [VTin,Vx,VS] :
( ( ~ visValue(vabs(Vx,VS,ve1))
& vtcheck(vempty,vabs(Vx,VS,ve1),VTin) )
=> ? [Veout] : vreduce(vabs(Vx,VS,ve1)) = vsomeExp(Veout) ),
inference(negated_conjecture,[status(cth)],[f58]) ).
fof(f78,plain,
! [Vx,VS,Ve,VExp0] :
( visValue(VExp0)
| VExp0 != vabs(Vx,VS,Ve) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f79,plain,
! [VExp0] :
( visValue(VExp0)
| ! [Vx,VS,Ve] : VExp0 != vabs(Vx,VS,Ve) ),
inference(miniscoping,[status(thm)],[f78]) ).
fof(f80,plain,
! [X0,X1,X2,X3] :
( visValue(X0)
| X0 != vabs(X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f257,plain,
? [VTin,Vx,VS] :
( ! [Veout] : vreduce(vabs(Vx,VS,ve1)) != vsomeExp(Veout)
& ~ visValue(vabs(Vx,VS,ve1))
& vtcheck(vempty,vabs(Vx,VS,ve1),VTin) ),
inference(pre_NNF_transformation,[status(thm)],[f59]) ).
fof(f258,plain,
? [Vx,VS] :
( ! [Veout] : vreduce(vabs(Vx,VS,ve1)) != vsomeExp(Veout)
& ~ visValue(vabs(Vx,VS,ve1))
& ? [VTin] : vtcheck(vempty,vabs(Vx,VS,ve1),VTin) ),
inference(miniscoping,[status(thm)],[f257]) ).
fof(f259,plain,
( ! [Veout] : vreduce(vabs(sK22_skl,sK23_skl,ve1)) != vsomeExp(Veout)
& ~ visValue(vabs(sK22_skl,sK23_skl,ve1))
& vtcheck(vempty,vabs(sK22_skl,sK23_skl,ve1),sK24_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22_skl,sK23_skl,sK24_skl]),skolemize(Vx,sK22_skl),skolemize(VS,sK23_skl),skolemize(VTin,sK24_skl)],[f258]) ).
fof(f261,plain,
~ visValue(vabs(sK22_skl,sK23_skl,ve1)),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f408,plain,
! [X0,X1,X2] : visValue(vabs(X0,X1,X2)),
inference(destructive_equality_resolution,[status(thm)],[f80]) ).
fof(f476,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f261,f408]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : COM147+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/5.39 % Computer : n020.cluster.edu
% 0.13/5.39 % Model : x86_64 x86_64
% 0.13/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.39 % Memory : 8046.5625MB
% 0.13/5.39 % OS : Linux 6.8.0-71-generic
% 0.13/5.39 % CPULimit : 300
% 0.13/5.39 % WCLimit : 300
% 0.13/5.39 % DateTime : Mon Sep 21 14:19:39 UTC 2026
% 0.13/5.39 % CPUTime :
% 0.16/5.41 % Drodi V4.1.1
% 0.16/5.44 % Refutation found
% 0.16/5.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/5.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/5.46 % Elapsed time: 0.062489 seconds
% 0.16/5.46 % CPU time: 0.164064 seconds
% 0.16/5.46 % Total memory used: 110.915 MB
% 0.16/5.46 % Net memory used: 110.626 MB
%------------------------------------------------------------------------------