%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COM144+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 12:10:28 PM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 33 ( 22 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 30 ( 12 ~; 6 |; 8 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-3 aty)
% Number of variables : 45 ( 35 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,axiom,
! [VExp0] : vnoExp != vsomeExp(VExp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [Vx,VS,Ve,VExp0,RESULT] :
( VExp0 = vabs(Vx,VS,Ve)
=> ( RESULT = vreduce(VExp0)
=> RESULT = vnoExp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,conjecture,
! [Vx,VS,VC,Veout,VT] :
( ( vtcheck(VC,vabs(Vx,VS,ve1),VT)
& vreduce(vabs(Vx,VS,ve1)) = vsomeExp(Veout) )
=> vtcheck(VC,Veout,VT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,negated_conjecture,
~ ! [Vx,VS,VC,Veout,VT] :
( ( vtcheck(VC,vabs(Vx,VS,ve1),VT)
& vreduce(vabs(Vx,VS,ve1)) = vsomeExp(Veout) )
=> vtcheck(VC,Veout,VT) ),
inference(negated_conjecture,[status(cth)],[f60]) ).
fof(f187,plain,
! [X0] : vnoExp != vsomeExp(X0),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f199,plain,
! [Vx,VS,Ve,VExp0,RESULT] :
( RESULT = vnoExp
| RESULT != vreduce(VExp0)
| VExp0 != vabs(Vx,VS,Ve) ),
inference(pre_NNF_transformation,[status(thm)],[f43]) ).
fof(f200,plain,
! [VExp0] :
( ! [RESULT] :
( RESULT = vnoExp
| RESULT != vreduce(VExp0) )
| ! [Vx,VS,Ve] : VExp0 != vabs(Vx,VS,Ve) ),
inference(miniscoping,[status(thm)],[f199]) ).
fof(f201,plain,
! [X0,X1,X2,X3,X4] :
( X4 = vnoExp
| X4 != vreduce(X0)
| X0 != vabs(X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f263,plain,
? [Vx,VS,VC,Veout,VT] :
( ~ vtcheck(VC,Veout,VT)
& vtcheck(VC,vabs(Vx,VS,ve1),VT)
& vreduce(vabs(Vx,VS,ve1)) = vsomeExp(Veout) ),
inference(pre_NNF_transformation,[status(thm)],[f61]) ).
fof(f264,plain,
? [VC,Veout,VT] :
( ~ vtcheck(VC,Veout,VT)
& ? [Vx,VS] :
( vtcheck(VC,vabs(Vx,VS,ve1),VT)
& vreduce(vabs(Vx,VS,ve1)) = vsomeExp(Veout) ) ),
inference(miniscoping,[status(thm)],[f263]) ).
fof(f265,plain,
( ~ vtcheck(sK21_skl,sK22_skl,sK23_skl)
& vtcheck(sK21_skl,vabs(sK24_skl,sK25_skl,ve1),sK23_skl)
& vreduce(vabs(sK24_skl,sK25_skl,ve1)) = vsomeExp(sK22_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl]),skolemize(VC,sK21_skl),skolemize(Veout,sK22_skl),skolemize(VT,sK23_skl),skolemize(Vx,sK24_skl),skolemize(VS,sK25_skl)],[f264]) ).
fof(f266,plain,
vreduce(vabs(sK24_skl,sK25_skl,ve1)) = vsomeExp(sK22_skl),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f453,plain,
! [X0,X1,X2] : vreduce(vabs(X0,X1,X2)) = vnoExp,
inference(destructive_equality_resolution,[status(thm)],[f201]) ).
fof(f498,plain,
vnoExp = vsomeExp(sK22_skl),
inference(backward_demodulation,[status(thm)],[f453,f266]) ).
fof(f499,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f498,f187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM144+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 14:18:35 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.43 % Elapsed time: 0.048988 seconds
% 0.09/0.43 % CPU time: 0.168147 seconds
% 0.09/0.43 % Total memory used: 104.360 MB
% 0.09/0.43 % Net memory used: 104.158 MB
%------------------------------------------------------------------------------