%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COM141+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 : n015.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 0.08s 0.39s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 29 ( 7 unt; 0 def)
% Number of atoms : 74 ( 35 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 77 ( 32 ~; 29 |; 12 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 85 ( 73 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f56,axiom,
! [Vx,VS,VC,Vy,VS1,VT] :
( ( vtcheck(VC,vabs(Vy,VS1,veabs),VT)
& vlookup(Vx,VC) = vnoType
& Vx != Vy )
=> vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [Vx,VS,VC,Vy,VS1,VT] :
( ( vtcheck(VC,vabs(Vy,VS1,veabs),VT)
& vlookup(Vx,VC) = vnoType
& Vx = Vy )
=> vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,conjecture,
! [Vx,VS,VC,Vy,VS1,VT] :
( ( vtcheck(VC,vabs(Vy,VS1,veabs),VT)
& vlookup(Vx,VC) = vnoType )
=> vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
~ ! [Vx,VS,VC,Vy,VS1,VT] :
( ( vtcheck(VC,vabs(Vy,VS1,veabs),VT)
& vlookup(Vx,VC) = vnoType )
=> vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT) ),
inference(negated_conjecture,[status(cth)],[f58]) ).
fof(f250,plain,
! [Vx,VS,VC,Vy,VS1,VT] :
( vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT)
| ~ vtcheck(VC,vabs(Vy,VS1,veabs),VT)
| vlookup(Vx,VC) != vnoType
| Vx = Vy ),
inference(pre_NNF_transformation,[status(thm)],[f56]) ).
fof(f251,plain,
! [Vx,VC,Vy,VS1,VT] :
( ! [VS] : vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT)
| ~ vtcheck(VC,vabs(Vy,VS1,veabs),VT)
| vlookup(Vx,VC) != vnoType
| Vx = Vy ),
inference(miniscoping,[status(thm)],[f250]) ).
fof(f252,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X5,X2),vabs(X1,X3,veabs),X4)
| ~ vtcheck(X2,vabs(X1,X3,veabs),X4)
| vlookup(X0,X2) != vnoType
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f253,plain,
! [Vx,VS,VC,Vy,VS1,VT] :
( vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT)
| ~ vtcheck(VC,vabs(Vy,VS1,veabs),VT)
| vlookup(Vx,VC) != vnoType
| Vx != Vy ),
inference(pre_NNF_transformation,[status(thm)],[f57]) ).
fof(f254,plain,
! [Vx,VC,Vy,VS1,VT] :
( ! [VS] : vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT)
| ~ vtcheck(VC,vabs(Vy,VS1,veabs),VT)
| vlookup(Vx,VC) != vnoType
| Vx != Vy ),
inference(miniscoping,[status(thm)],[f253]) ).
fof(f255,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X5,X2),vabs(X1,X3,veabs),X4)
| ~ vtcheck(X2,vabs(X1,X3,veabs),X4)
| vlookup(X0,X2) != vnoType
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f256,plain,
? [Vx,VS,VC,Vy,VS1,VT] :
( ~ vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT)
& vtcheck(VC,vabs(Vy,VS1,veabs),VT)
& vlookup(Vx,VC) = vnoType ),
inference(pre_NNF_transformation,[status(thm)],[f59]) ).
fof(f257,plain,
? [Vx,VC,Vy,VS1,VT] :
( ? [VS] : ~ vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT)
& vtcheck(VC,vabs(Vy,VS1,veabs),VT)
& vlookup(Vx,VC) = vnoType ),
inference(miniscoping,[status(thm)],[f256]) ).
fof(f258,plain,
( ~ vtcheck(vbind(sK21_skl,sK26_skl,sK22_skl),vabs(sK23_skl,sK24_skl,veabs),sK25_skl)
& vtcheck(sK22_skl,vabs(sK23_skl,sK24_skl,veabs),sK25_skl)
& vlookup(sK21_skl,sK22_skl) = vnoType ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl]),skolemize(Vx,sK21_skl),skolemize(VC,sK22_skl),skolemize(Vy,sK23_skl),skolemize(VS1,sK24_skl),skolemize(VT,sK25_skl),skolemize(VS,sK26_skl)],[f257]) ).
fof(f259,plain,
vlookup(sK21_skl,sK22_skl) = vnoType,
inference(cnf_transformation,[status(thm)],[f258]) ).
fof(f260,plain,
vtcheck(sK22_skl,vabs(sK23_skl,sK24_skl,veabs),sK25_skl),
inference(cnf_transformation,[status(thm)],[f258]) ).
fof(f261,plain,
~ vtcheck(vbind(sK21_skl,sK26_skl,sK22_skl),vabs(sK23_skl,sK24_skl,veabs),sK25_skl),
inference(cnf_transformation,[status(thm)],[f258]) ).
fof(f457,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(vbind(X0,X4,X1),vabs(X0,X2,veabs),X3)
| ~ vtcheck(X1,vabs(X0,X2,veabs),X3)
| vlookup(X0,X1) != vnoType ),
inference(destructive_equality_resolution,[status(thm)],[f255]) ).
fof(f483,plain,
! [X0] :
( vtcheck(vbind(sK23_skl,X0,sK22_skl),vabs(sK23_skl,sK24_skl,veabs),sK25_skl)
| vlookup(sK23_skl,sK22_skl) != vnoType ),
inference(resolution,[status(thm)],[f457,f260]) ).
fof(f484,plain,
! [X0,X1] :
( vtcheck(vbind(X0,X1,sK22_skl),vabs(sK23_skl,sK24_skl,veabs),sK25_skl)
| vlookup(X0,sK22_skl) != vnoType
| X0 = sK23_skl ),
inference(resolution,[status(thm)],[f252,f260]) ).
fof(f485,plain,
( vlookup(sK21_skl,sK22_skl) != vnoType
| sK21_skl = sK23_skl ),
inference(resolution,[status(thm)],[f484,f261]) ).
fof(f488,plain,
( vnoType != vnoType
| sK21_skl = sK23_skl ),
inference(forward_demodulation,[status(thm)],[f259,f485]) ).
fof(f489,plain,
sK21_skl = sK23_skl,
inference(trivial_equality_resolution,[status(thm)],[f488]) ).
fof(f491,plain,
! [X0] :
( vtcheck(vbind(sK23_skl,X0,sK22_skl),vabs(sK21_skl,sK24_skl,veabs),sK25_skl)
| vlookup(sK23_skl,sK22_skl) != vnoType ),
inference(backward_demodulation,[status(thm)],[f489,f483]) ).
fof(f492,plain,
~ vtcheck(vbind(sK21_skl,sK26_skl,sK22_skl),vabs(sK21_skl,sK24_skl,veabs),sK25_skl),
inference(backward_demodulation,[status(thm)],[f489,f261]) ).
fof(f495,plain,
! [X0] :
( vtcheck(vbind(sK23_skl,X0,sK22_skl),vabs(sK21_skl,sK24_skl,veabs),sK25_skl)
| vlookup(sK21_skl,sK22_skl) != vnoType ),
inference(forward_demodulation,[status(thm)],[f489,f491]) ).
fof(f496,plain,
! [X0] :
( vtcheck(vbind(sK23_skl,X0,sK22_skl),vabs(sK21_skl,sK24_skl,veabs),sK25_skl)
| vnoType != vnoType ),
inference(forward_demodulation,[status(thm)],[f259,f495]) ).
fof(f497,plain,
! [X0] :
( vtcheck(vbind(sK21_skl,X0,sK22_skl),vabs(sK21_skl,sK24_skl,veabs),sK25_skl)
| vnoType != vnoType ),
inference(forward_demodulation,[status(thm)],[f489,f496]) ).
fof(f498,plain,
! [X0] : vtcheck(vbind(sK21_skl,X0,sK22_skl),vabs(sK21_skl,sK24_skl,veabs),sK25_skl),
inference(trivial_equality_resolution,[status(thm)],[f497]) ).
fof(f505,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f492,f498]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM141+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.33 % Computer : n015.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 14:21:06 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.39 % Refutation found
% 0.08/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.46 % Elapsed time: 0.114384 seconds
% 0.13/0.46 % CPU time: 0.143909 seconds
% 0.13/0.46 % Total memory used: 17.526 MB
% 0.13/0.46 % Net memory used: 17.469 MB
%------------------------------------------------------------------------------