%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : RNG050+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 02:04:47 PM UTC 2026
% Result : Theorem 0.02s 0.32s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 61 ( 30 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 64 ( 29 ~; 25 |; 3 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [W0] :
( aScalar0(W0)
=> sdtlseqdt0(W0,W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [W0,W1] :
( ( aVector0(W1)
& aVector0(W0) )
=> ( ( aDimensionOf0(W1) = sz00
& aDimensionOf0(W0) = aDimensionOf0(W1) )
=> sdtasasdt0(W0,W1) = sz0z00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,hypothesis,
aVector0(xs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,conjecture,
( ( aDimensionOf0(xs) != sz00
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
~ ( ( aDimensionOf0(xs) != sz00
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f61,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f94,plain,
! [W0] :
( sdtlseqdt0(W0,W0)
| ~ aScalar0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f95,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f133,plain,
! [W0,W1] :
( sdtasasdt0(W0,W1) = sz0z00
| aDimensionOf0(W1) != sz00
| aDimensionOf0(W0) != aDimensionOf0(W1)
| ~ aVector0(W1)
| ~ aVector0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f134,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sz0z00
| aDimensionOf0(X1) != sz00
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f137,plain,
aVector0(xs),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f140,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
& ( sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| aDimensionOf0(xs) = sz00 ) ),
inference(pre_NNF_transformation,[status(thm)],[f40]) ).
fof(f141,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| aDimensionOf0(xs) = sz00 ),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f142,plain,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f146,plain,
aDimensionOf0(xs) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[f141,f142]) ).
fof(f149,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(resolution,[status(thm)],[f95,f61]) ).
fof(f225,plain,
! [X0] :
( sdtasasdt0(X0,xs) = sz0z00
| aDimensionOf0(xs) != sz00
| aDimensionOf0(X0) != aDimensionOf0(xs)
| ~ aVector0(X0) ),
inference(resolution,[status(thm)],[f134,f137]) ).
fof(f226,plain,
! [X0] :
( sdtasasdt0(X0,xs) = sz0z00
| aDimensionOf0(xs) != sz00
| aDimensionOf0(X0) != sz00
| ~ aVector0(X0) ),
inference(forward_demodulation,[status(thm)],[f146,f225]) ).
fof(f227,plain,
! [X0] :
( sdtasasdt0(X0,xs) = sz0z00
| sz00 != sz00
| aDimensionOf0(X0) != sz00
| ~ aVector0(X0) ),
inference(forward_demodulation,[status(thm)],[f146,f226]) ).
fof(f228,plain,
! [X0] :
( sdtasasdt0(X0,xs) = sz0z00
| aDimensionOf0(X0) != sz00
| ~ aVector0(X0) ),
inference(trivial_equality_resolution,[status(thm)],[f227]) ).
fof(f318,plain,
( sdtasasdt0(xs,xs) = sz0z00
| aDimensionOf0(xs) != sz00 ),
inference(resolution,[status(thm)],[f228,f137]) ).
fof(f319,plain,
( sdtasasdt0(xs,xs) = sz0z00
| sz00 != sz00 ),
inference(forward_demodulation,[status(thm)],[f146,f318]) ).
fof(f320,plain,
sdtasasdt0(xs,xs) = sz0z00,
inference(trivial_equality_resolution,[status(thm)],[f319]) ).
fof(f328,plain,
~ sdtlseqdt0(sz0z00,sz0z00),
inference(backward_demodulation,[status(thm)],[f320,f142]) ).
fof(f329,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f328,f149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : RNG050+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Mon Sep 21 04:15:21 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.30 % Drodi V4.1.1
% 0.02/0.32 % Refutation found
% 0.02/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.02/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.02/0.33 % Elapsed time: 0.037485 seconds
% 0.02/0.33 % CPU time: 0.093921 seconds
% 0.02/0.33 % Total memory used: 82.965 MB
% 0.02/0.33 % Net memory used: 82.825 MB
%------------------------------------------------------------------------------